Identifier
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00037: Graphs —to partition of connected components⟶ Integer partitions
Mp00064: Permutations —reverse⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00037: Graphs —to partition of connected components⟶ Integer partitions
Images
=>
Cc0020;cc-rep-3Cc0002;cc-rep-4
[1]=>[1]=>[1]=>([],1)=>[1]
[1,2]=>[1,2]=>[2,1]=>([(0,1)],2)=>[2]
[2,1]=>[1,2]=>[2,1]=>([(0,1)],2)=>[2]
[1,2,3]=>[1,2,3]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>[3]
[1,3,2]=>[1,2,3]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>[3]
[2,1,3]=>[1,2,3]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>[3]
[2,3,1]=>[1,2,3]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>[3]
[3,1,2]=>[1,3,2]=>[2,3,1]=>([(0,2),(1,2)],3)=>[3]
[3,2,1]=>[1,3,2]=>[2,3,1]=>([(0,2),(1,2)],3)=>[3]
[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[1,2,4,3]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[1,3,2,4]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[1,3,4,2]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[1,4,2,3]=>[1,2,4,3]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[1,4,3,2]=>[1,2,4,3]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[2,1,3,4]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[2,1,4,3]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[2,3,1,4]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[2,3,4,1]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[2,4,1,3]=>[1,2,4,3]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[2,4,3,1]=>[1,2,4,3]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[3,1,2,4]=>[1,3,2,4]=>[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[3,1,4,2]=>[1,3,4,2]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[3,2,1,4]=>[1,3,2,4]=>[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[3,2,4,1]=>[1,3,4,2]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[3,4,1,2]=>[1,3,2,4]=>[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[3,4,2,1]=>[1,3,2,4]=>[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[4,1,2,3]=>[1,4,3,2]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>[4]
[4,1,3,2]=>[1,4,2,3]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[4,2,1,3]=>[1,4,3,2]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>[4]
[4,2,3,1]=>[1,4,2,3]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[4,3,1,2]=>[1,4,2,3]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[4,3,2,1]=>[1,4,2,3]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,2,3,5,4]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,2,4,3,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,2,4,5,3]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,2,5,3,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,2,5,4,3]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,3,2,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,3,2,5,4]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,3,4,2,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,3,4,5,2]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,3,5,2,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,3,5,4,2]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,4,2,3,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,4,2,5,3]=>[1,2,4,5,3]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,4,3,2,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,4,3,5,2]=>[1,2,4,5,3]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,4,5,2,3]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,4,5,3,2]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,5,2,3,4]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,5,2,4,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,5,3,2,4]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,5,3,4,2]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,5,4,2,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,5,4,3,2]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,1,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,1,3,5,4]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,1,4,3,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,1,4,5,3]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,1,5,3,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,1,5,4,3]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,3,1,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,3,1,5,4]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,3,4,1,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,3,4,5,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,3,5,1,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,3,5,4,1]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,4,1,3,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,4,1,5,3]=>[1,2,4,5,3]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,4,3,1,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,4,3,5,1]=>[1,2,4,5,3]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,4,5,1,3]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,4,5,3,1]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,5,1,3,4]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,5,1,4,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,5,3,1,4]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,5,3,4,1]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,5,4,1,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,5,4,3,1]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,1,2,4,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,1,2,5,4]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,1,4,2,5]=>[1,3,4,2,5]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,1,4,5,2]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,1,5,2,4]=>[1,3,5,4,2]=>[2,4,5,3,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,1,5,4,2]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,2,1,4,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,2,1,5,4]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,2,4,1,5]=>[1,3,4,2,5]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,2,4,5,1]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,2,5,1,4]=>[1,3,5,4,2]=>[2,4,5,3,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,2,5,4,1]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,4,1,2,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,4,1,5,2]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,4,2,1,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,4,2,5,1]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,4,5,1,2]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,4,5,2,1]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,5,1,2,4]=>[1,3,2,5,4]=>[4,5,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5]
[3,5,1,4,2]=>[1,3,2,5,4]=>[4,5,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5]
[3,5,2,1,4]=>[1,3,2,5,4]=>[4,5,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5]
[3,5,2,4,1]=>[1,3,2,5,4]=>[4,5,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5]
[3,5,4,1,2]=>[1,3,4,2,5]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,5,4,2,1]=>[1,3,4,2,5]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,1,2,3,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,1,2,5,3]=>[1,4,5,3,2]=>[2,3,5,4,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,1,3,2,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,1,3,5,2]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>[5]
[4,1,5,2,3]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,1,5,3,2]=>[1,4,3,5,2]=>[2,5,3,4,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,2,1,3,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,2,1,5,3]=>[1,4,5,3,2]=>[2,3,5,4,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,2,3,1,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,2,3,5,1]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>[5]
[4,2,5,1,3]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,2,5,3,1]=>[1,4,3,5,2]=>[2,5,3,4,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,3,1,2,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,3,1,5,2]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>[5]
[4,3,2,1,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,3,2,5,1]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>[5]
[4,3,5,1,2]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,3,5,2,1]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,5,1,2,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,5,1,3,2]=>[1,4,3,2,5]=>[5,2,3,4,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,5,2,1,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,5,2,3,1]=>[1,4,3,2,5]=>[5,2,3,4,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,5,3,1,2]=>[1,4,2,5,3]=>[3,5,2,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,5,3,2,1]=>[1,4,2,5,3]=>[3,5,2,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,1,2,3,4]=>[1,5,4,3,2]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>[5]
[5,1,2,4,3]=>[1,5,3,2,4]=>[4,2,3,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,1,3,2,4]=>[1,5,4,2,3]=>[3,2,4,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,1,3,4,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,1,4,2,3]=>[1,5,3,4,2]=>[2,4,3,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,1,4,3,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,2,1,3,4]=>[1,5,4,3,2]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>[5]
[5,2,1,4,3]=>[1,5,3,2,4]=>[4,2,3,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,2,3,1,4]=>[1,5,4,2,3]=>[3,2,4,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,2,3,4,1]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,2,4,1,3]=>[1,5,3,4,2]=>[2,4,3,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,2,4,3,1]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,3,1,2,4]=>[1,5,4,2,3]=>[3,2,4,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,3,1,4,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,3,2,1,4]=>[1,5,4,2,3]=>[3,2,4,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,3,2,4,1]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,3,4,1,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,3,4,2,1]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,4,1,2,3]=>[1,5,3,2,4]=>[4,2,3,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,4,1,3,2]=>[1,5,2,4,3]=>[3,4,2,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,4,2,1,3]=>[1,5,3,2,4]=>[4,2,3,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,4,2,3,1]=>[1,5,2,4,3]=>[3,4,2,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,4,3,1,2]=>[1,5,2,4,3]=>[3,4,2,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,4,3,2,1]=>[1,5,2,4,3]=>[3,4,2,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>[6]
[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>[6]
[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,3,4,5,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,3,7,5,4]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,4,3,5,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,4,7,5,3]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,7,3,5,4]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,7,4,5,3]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,2,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,4,5,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,4,6,5,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,4,6,7,5]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,4,7,5,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,4,7,6,5]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,5,4,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,5,4,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,5,6,4,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,5,6,7,4]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,5,7,4,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,5,7,6,4]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,6,4,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,6,4,7,5]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,6,5,4,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,6,5,7,4]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,6,7,4,5]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,6,7,5,4]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,7,4,5,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,7,4,6,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,7,5,4,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,7,5,6,4]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,7,6,4,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,2,7,6,5,4]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,2,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,2,5,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,2,6,5,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,2,6,7,5]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,2,7,5,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,2,7,6,5]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,5,2,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,5,2,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,5,6,2,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,5,6,7,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,5,7,2,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,5,7,6,2]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,6,2,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,6,2,7,5]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,6,5,2,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,6,5,7,2]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,6,7,2,5]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,6,7,5,2]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,7,2,5,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,7,2,6,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,7,5,2,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,7,5,6,2]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,7,6,2,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,4,7,6,5,2]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,2,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,2,4,7,6]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,2,6,4,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,2,6,7,4]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,2,7,4,6]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,2,7,6,4]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,4,2,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,4,2,7,6]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,4,6,2,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,4,6,7,2]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,4,7,2,6]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,4,7,6,2]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,6,2,4,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,6,2,7,4]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,6,4,2,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,6,4,7,2]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,6,7,2,4]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,6,7,4,2]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,7,2,4,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,7,2,6,4]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,7,4,2,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,7,4,6,2]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,7,6,2,4]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,5,7,6,4,2]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,2,4,5,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,2,4,7,5]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,2,5,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,2,5,7,4]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,2,7,4,5]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,2,7,5,4]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,4,2,5,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,4,2,7,5]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,4,5,2,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,4,5,7,2]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,4,7,2,5]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,4,7,5,2]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,5,2,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,5,2,7,4]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,5,4,2,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,5,4,7,2]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,5,7,2,4]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,5,7,4,2]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,7,2,4,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,7,2,5,4]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,7,4,2,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,7,4,5,2]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,7,5,2,4]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,6,7,5,4,2]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,2,4,5,6]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,2,4,6,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,2,5,4,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,2,5,6,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,2,6,4,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,2,6,5,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,4,2,5,6]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,4,2,6,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,4,5,2,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,4,5,6,2]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,4,6,2,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,4,6,5,2]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,5,2,4,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,5,2,6,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,5,4,2,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,5,4,6,2]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,5,6,2,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,5,6,4,2]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,6,2,4,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,6,2,5,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,6,4,2,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,6,4,5,2]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,6,5,2,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,3,7,6,5,4,2]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,3,5,7,6]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,3,6,5,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,3,6,7,5]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,3,7,5,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,3,7,6,5]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,5,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,5,3,7,6]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,5,6,3,7]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,5,6,7,3]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,5,7,3,6]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,5,7,6,3]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,6,3,5,7]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,6,3,7,5]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,6,5,3,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,6,5,7,3]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,6,7,3,5]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,6,7,5,3]=>[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,7,3,5,6]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,7,3,6,5]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,7,5,3,6]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,7,5,6,3]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,7,6,3,5]=>[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,2,7,6,5,3]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,2,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,2,5,7,6]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,2,6,5,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,2,6,7,5]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,2,7,5,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,2,7,6,5]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,5,2,6,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,5,2,7,6]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,5,6,2,7]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,5,6,7,2]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,5,7,2,6]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,5,7,6,2]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,6,2,5,7]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,6,2,7,5]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,6,5,2,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,6,5,7,2]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,6,7,2,5]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,6,7,5,2]=>[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,7,2,5,6]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,7,2,6,5]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,7,5,2,6]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,7,5,6,2]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,7,6,2,5]=>[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,3,7,6,5,2]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,2,3,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,2,3,7,6]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,2,6,3,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,2,6,7,3]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,2,7,3,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,2,7,6,3]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,3,2,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,3,2,7,6]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,3,6,2,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,3,6,7,2]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,3,7,2,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,3,7,6,2]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,6,2,3,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,6,2,7,3]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,6,3,2,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,6,3,7,2]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,6,7,2,3]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,6,7,3,2]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,7,2,3,6]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,7,2,6,3]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,7,3,2,6]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,7,3,6,2]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,7,6,2,3]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,5,7,6,3,2]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,2,3,5,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,2,3,7,5]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,2,5,3,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,2,5,7,3]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,2,7,3,5]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,2,7,5,3]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,3,2,5,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,3,2,7,5]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,3,5,2,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,3,5,7,2]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,3,7,2,5]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,3,7,5,2]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,5,2,3,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,5,2,7,3]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,5,3,2,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,5,3,7,2]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,5,7,2,3]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,5,7,3,2]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,7,2,3,5]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,7,2,5,3]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,7,3,2,5]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,7,3,5,2]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,7,5,2,3]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,6,7,5,3,2]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,2,3,5,6]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,2,3,6,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,2,5,3,6]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,2,5,6,3]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,2,6,3,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,2,6,5,3]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,3,2,5,6]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,3,2,6,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,3,5,2,6]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,3,5,6,2]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,3,6,2,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,3,6,5,2]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,5,2,3,6]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,5,2,6,3]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,5,3,2,6]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,5,3,6,2]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,5,6,2,3]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,5,6,3,2]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,6,2,3,5]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,6,2,5,3]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,6,3,2,5]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,6,3,5,2]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,6,5,2,3]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,4,7,6,5,3,2]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,3,4,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,3,4,7,6]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,3,6,4,7]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,3,6,7,4]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,3,7,4,6]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,3,7,6,4]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,4,3,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,4,3,7,6]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,4,6,3,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,4,6,7,3]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,4,7,3,6]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,4,7,6,3]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,6,3,4,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,6,3,7,4]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,6,4,3,7]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,6,4,7,3]=>[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,6,7,3,4]=>[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,6,7,4,3]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,7,3,4,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,7,3,6,4]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,7,4,3,6]=>[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,7,4,6,3]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,7,6,3,4]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,2,7,6,4,3]=>[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,2,4,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,2,4,7,6]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,2,6,4,7]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,2,6,7,4]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,2,7,4,6]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,2,7,6,4]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,4,2,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,4,2,7,6]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,4,6,2,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,4,6,7,2]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,4,7,2,6]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,4,7,6,2]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,6,2,4,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,6,2,7,4]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,6,4,2,7]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,6,4,7,2]=>[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,6,7,2,4]=>[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,6,7,4,2]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,7,2,4,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,7,2,6,4]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,7,4,2,6]=>[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,7,4,6,2]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,7,6,2,4]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,3,7,6,4,2]=>[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,2,3,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,2,3,7,6]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,2,6,3,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,2,6,7,3]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,2,7,3,6]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,2,7,6,3]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,3,2,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,3,2,7,6]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,3,6,2,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,3,6,7,2]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,3,7,2,6]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,3,7,6,2]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,6,2,3,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,6,2,7,3]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,6,3,2,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,6,3,7,2]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,6,7,2,3]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,6,7,3,2]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,7,2,3,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,7,2,6,3]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,7,3,2,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,7,3,6,2]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,7,6,2,3]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,4,7,6,3,2]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,2,3,4,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,2,3,7,4]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,2,4,3,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,2,4,7,3]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,2,7,3,4]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,2,7,4,3]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,3,2,4,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,3,2,7,4]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,3,4,2,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,3,4,7,2]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,3,7,2,4]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,3,7,4,2]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,4,2,3,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,4,2,7,3]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,4,3,2,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,4,3,7,2]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,4,7,2,3]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,4,7,3,2]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,7,2,3,4]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,7,2,4,3]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,7,3,2,4]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,7,3,4,2]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,7,4,2,3]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,6,7,4,3,2]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,2,3,4,6]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,2,3,6,4]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,2,4,3,6]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,2,4,6,3]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,2,6,3,4]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,2,6,4,3]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,3,2,4,6]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,3,2,6,4]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,3,4,2,6]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,3,4,6,2]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,3,6,2,4]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,3,6,4,2]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,4,2,3,6]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,4,2,6,3]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,4,3,2,6]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,4,3,6,2]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,4,6,2,3]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,4,6,3,2]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,6,2,3,4]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,6,2,4,3]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,6,3,2,4]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,6,3,4,2]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,6,4,2,3]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,5,7,6,4,3,2]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,3,4,5,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,3,4,7,5]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,3,5,4,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,3,5,7,4]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,3,7,4,5]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,3,7,5,4]=>[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,4,3,5,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,4,3,7,5]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,4,5,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,4,5,7,3]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,4,7,3,5]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,4,7,5,3]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,5,3,4,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,5,3,7,4]=>[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,5,4,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,5,4,7,3]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,5,7,3,4]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,5,7,4,3]=>[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,7,3,4,5]=>[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,7,3,5,4]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,7,4,3,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,7,4,5,3]=>[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,7,5,3,4]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,2,7,5,4,3]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,2,4,5,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,2,4,7,5]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,2,5,4,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,2,5,7,4]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,2,7,4,5]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,2,7,5,4]=>[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,4,2,5,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,4,2,7,5]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,4,5,2,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,4,5,7,2]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,4,7,2,5]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,4,7,5,2]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,5,2,4,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,5,2,7,4]=>[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,5,4,2,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,5,4,7,2]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,5,7,2,4]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,5,7,4,2]=>[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,7,2,4,5]=>[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,7,2,5,4]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,7,4,2,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,7,4,5,2]=>[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,7,5,2,4]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,3,7,5,4,2]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,2,3,5,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,2,3,7,5]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,2,5,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,2,5,7,3]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,2,7,3,5]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,2,7,5,3]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,3,2,5,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,3,2,7,5]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,3,5,2,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,3,5,7,2]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,3,7,2,5]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,3,7,5,2]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,5,2,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,5,2,7,3]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,5,3,2,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,5,3,7,2]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,5,7,2,3]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,5,7,3,2]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,7,2,3,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,7,2,5,3]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,7,3,2,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,7,3,5,2]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,7,5,2,3]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,4,7,5,3,2]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,2,3,4,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,2,3,7,4]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,2,4,3,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,2,4,7,3]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,2,7,3,4]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,2,7,4,3]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,3,2,4,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,3,2,7,4]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,3,4,2,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,3,4,7,2]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,3,7,2,4]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,3,7,4,2]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,4,2,3,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,4,2,7,3]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,4,3,2,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,4,3,7,2]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,4,7,2,3]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,4,7,3,2]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,7,2,3,4]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,7,2,4,3]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,7,3,2,4]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,7,3,4,2]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,7,4,2,3]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,5,7,4,3,2]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,2,3,4,5]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,2,3,5,4]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,2,4,3,5]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,2,4,5,3]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,2,5,3,4]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,2,5,4,3]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,3,2,4,5]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,3,2,5,4]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,3,4,2,5]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,3,4,5,2]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,3,5,2,4]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,3,5,4,2]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,4,2,3,5]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,4,2,5,3]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,4,3,2,5]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,4,3,5,2]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,4,5,2,3]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,4,5,3,2]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,5,2,3,4]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,5,2,4,3]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,5,3,2,4]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,5,3,4,2]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,5,4,2,3]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,6,7,5,4,3,2]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,3,4,5,6]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,3,4,6,5]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,3,5,4,6]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,3,5,6,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,3,6,4,5]=>[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,3,6,5,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,4,3,5,6]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,4,3,6,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,4,5,3,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,4,5,6,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,4,6,3,5]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,4,6,5,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,5,3,4,6]=>[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,5,3,6,4]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,5,4,3,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,5,4,6,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,5,6,3,4]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,5,6,4,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,6,3,4,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,6,3,5,4]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,6,4,3,5]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,6,4,5,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,6,5,3,4]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,2,6,5,4,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,2,4,5,6]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,2,4,6,5]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,2,5,4,6]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,2,5,6,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,2,6,4,5]=>[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,2,6,5,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,4,2,5,6]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,4,2,6,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,4,5,2,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,4,5,6,2]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,4,6,2,5]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,4,6,5,2]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,5,2,4,6]=>[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,5,2,6,4]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,5,4,2,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,5,4,6,2]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,5,6,2,4]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,5,6,4,2]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,6,2,4,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,6,2,5,4]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,6,4,2,5]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,6,4,5,2]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,6,5,2,4]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,3,6,5,4,2]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,2,3,5,6]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,2,3,6,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,2,5,3,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,2,5,6,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,2,6,3,5]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,2,6,5,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,3,2,5,6]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,3,2,6,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,3,5,2,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,3,5,6,2]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,3,6,2,5]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,3,6,5,2]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,5,2,3,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,5,2,6,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,5,3,2,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,5,3,6,2]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,5,6,2,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,5,6,3,2]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,6,2,3,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,6,2,5,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,6,3,2,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,6,3,5,2]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,6,5,2,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,4,6,5,3,2]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,2,3,4,6]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,2,3,6,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,2,4,3,6]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,2,4,6,3]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,2,6,3,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,2,6,4,3]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,3,2,4,6]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,3,2,6,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,3,4,2,6]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,3,4,6,2]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,3,6,2,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,3,6,4,2]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,4,2,3,6]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,4,2,6,3]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,4,3,2,6]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,4,3,6,2]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,4,6,2,3]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,4,6,3,2]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,6,2,3,4]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,6,2,4,3]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,6,3,2,4]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,6,3,4,2]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,6,4,2,3]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,5,6,4,3,2]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,2,3,4,5]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,2,3,5,4]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,2,4,3,5]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,2,4,5,3]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,2,5,3,4]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,2,5,4,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,3,2,4,5]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,3,2,5,4]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,3,4,2,5]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,3,4,5,2]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,3,5,2,4]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,3,5,4,2]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,4,2,3,5]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,4,2,5,3]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,4,3,2,5]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,4,3,5,2]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,4,5,2,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,4,5,3,2]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,5,2,3,4]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,5,2,4,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,5,3,2,4]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,5,3,4,2]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,5,4,2,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[1,7,6,5,4,3,2]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,3,4,5,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,3,7,5,4]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,4,3,5,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,4,7,5,3]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,7,3,5,4]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,7,4,5,3]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,1,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,4,5,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,4,6,5,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,4,6,7,5]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,4,7,5,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,4,7,6,5]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,5,4,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,5,4,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,5,6,4,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,5,6,7,4]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,5,7,4,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,5,7,6,4]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,6,4,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,6,4,7,5]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,6,5,4,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,6,5,7,4]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,6,7,4,5]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,6,7,5,4]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,7,4,5,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,7,4,6,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,7,5,4,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,7,5,6,4]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,7,6,4,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,1,7,6,5,4]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,1,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,1,5,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,1,6,5,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,1,6,7,5]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,1,7,5,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,1,7,6,5]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,5,1,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,5,1,7,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,5,6,1,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,5,7,1,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,6,1,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,6,1,7,5]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,6,5,1,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,6,5,7,1]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,6,7,1,5]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,6,7,5,1]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,7,1,5,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,7,1,6,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,7,5,1,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,7,6,1,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,1,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,1,4,7,6]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,1,6,4,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,1,6,7,4]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,1,7,4,6]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,1,7,6,4]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,4,1,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,4,1,7,6]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,4,6,1,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,4,6,7,1]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,4,7,1,6]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,4,7,6,1]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,6,1,4,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,6,1,7,4]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,6,4,1,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,6,4,7,1]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,6,7,1,4]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,6,7,4,1]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,7,1,4,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,7,1,6,4]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,7,4,1,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,7,4,6,1]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,7,6,1,4]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,7,6,4,1]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,1,4,5,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,1,4,7,5]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,1,5,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,1,5,7,4]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,1,7,4,5]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,1,7,5,4]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,4,1,5,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,4,1,7,5]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,4,5,1,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,4,5,7,1]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,4,7,1,5]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,4,7,5,1]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,5,1,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,5,1,7,4]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,5,4,1,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,5,4,7,1]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,5,7,1,4]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,7,1,4,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,7,1,5,4]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,7,4,1,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,7,4,5,1]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,7,5,1,4]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,7,5,4,1]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,1,4,5,6]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,1,4,6,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,1,5,4,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,1,5,6,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,1,6,4,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,1,6,5,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,4,1,5,6]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,4,1,6,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,4,5,1,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,4,6,1,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,4,6,5,1]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,5,1,4,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,5,1,6,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,5,4,1,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,5,4,6,1]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,5,6,1,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,6,1,4,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,6,1,5,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,6,4,1,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,6,4,5,1]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,6,5,1,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,6,5,4,1]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,3,5,7,6]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,3,6,5,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,3,6,7,5]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,3,7,5,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,3,7,6,5]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,5,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,5,3,7,6]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,5,6,3,7]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,5,6,7,3]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,5,7,3,6]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,5,7,6,3]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,6,3,5,7]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,6,3,7,5]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,6,5,3,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,6,5,7,3]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,6,7,3,5]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,6,7,5,3]=>[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,3,5,6]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,3,6,5]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,5,3,6]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,5,6,3]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,6,3,5]=>[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,6,5,3]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,1,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,1,5,7,6]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,1,6,5,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,1,6,7,5]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,1,7,5,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,1,7,6,5]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,5,1,6,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,5,1,7,6]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,5,6,1,7]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,5,6,7,1]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,5,7,1,6]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,5,7,6,1]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,6,1,5,7]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,6,1,7,5]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,6,5,1,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,6,5,7,1]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,6,7,1,5]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,6,7,5,1]=>[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,7,1,5,6]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,7,1,6,5]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,7,5,1,6]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,7,5,6,1]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,7,6,1,5]=>[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,7,6,5,1]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,1,3,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,1,3,7,6]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,1,6,3,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,1,6,7,3]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,1,7,3,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,1,7,6,3]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,3,1,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,3,1,7,6]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,3,6,1,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,3,6,7,1]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,3,7,1,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,3,7,6,1]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,6,1,3,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,6,1,7,3]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,6,3,1,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,6,3,7,1]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,6,7,1,3]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,6,7,3,1]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,7,1,3,6]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,7,1,6,3]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,7,3,1,6]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,7,3,6,1]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,7,6,1,3]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,7,6,3,1]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,1,3,5,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,1,3,7,5]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,1,5,3,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,1,5,7,3]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,1,7,3,5]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,1,7,5,3]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,3,1,5,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,3,1,7,5]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,3,5,1,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,3,5,7,1]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,3,7,1,5]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,3,7,5,1]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,5,1,3,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,5,1,7,3]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,5,3,1,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,5,3,7,1]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,5,7,1,3]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,5,7,3,1]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,7,1,3,5]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,7,1,5,3]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,7,3,1,5]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,7,3,5,1]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,7,5,1,3]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,7,5,3,1]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,1,3,5,6]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,1,3,6,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,1,5,3,6]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,1,5,6,3]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,1,6,3,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,1,6,5,3]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,3,1,5,6]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,3,1,6,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,3,5,1,6]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,3,5,6,1]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,3,6,1,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,3,6,5,1]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,5,1,3,6]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,5,1,6,3]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,5,3,1,6]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,5,3,6,1]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,5,6,1,3]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,5,6,3,1]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,6,1,3,5]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,6,1,5,3]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,6,3,1,5]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,6,3,5,1]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,6,5,1,3]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,6,5,3,1]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,3,4,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,3,4,7,6]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,3,6,4,7]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,3,6,7,4]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,3,7,4,6]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,3,7,6,4]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,4,3,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,4,3,7,6]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,4,6,3,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,4,6,7,3]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,4,7,3,6]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,4,7,6,3]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,6,3,4,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,6,3,7,4]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,6,4,3,7]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,6,4,7,3]=>[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,6,7,3,4]=>[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,6,7,4,3]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,7,3,4,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,7,3,6,4]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,7,4,3,6]=>[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,7,4,6,3]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,7,6,3,4]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,7,6,4,3]=>[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,1,4,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,1,4,7,6]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,1,6,4,7]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,1,6,7,4]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,1,7,4,6]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,1,7,6,4]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,4,1,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,4,1,7,6]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,4,6,1,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,4,6,7,1]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,4,7,1,6]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,4,7,6,1]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,6,1,4,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,6,1,7,4]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,6,4,1,7]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,6,4,7,1]=>[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,6,7,1,4]=>[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,6,7,4,1]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,7,1,4,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,7,1,6,4]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,7,4,1,6]=>[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,7,4,6,1]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,7,6,1,4]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,7,6,4,1]=>[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,1,3,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,1,3,7,6]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,1,6,3,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,1,6,7,3]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,1,7,3,6]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,1,7,6,3]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,3,1,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,3,1,7,6]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,3,6,1,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,3,6,7,1]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,3,7,1,6]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,3,7,6,1]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,6,1,3,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,6,1,7,3]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,6,3,1,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,6,3,7,1]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,6,7,1,3]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,6,7,3,1]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,7,1,3,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,7,1,6,3]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,7,3,1,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,7,3,6,1]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,7,6,1,3]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,7,6,3,1]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,1,3,4,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,1,3,7,4]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,1,4,3,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,1,4,7,3]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,1,7,3,4]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,1,7,4,3]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,3,1,4,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,3,1,7,4]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,3,4,1,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,3,4,7,1]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,3,7,1,4]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,3,7,4,1]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,4,1,3,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,4,1,7,3]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,4,3,1,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,4,3,7,1]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,4,7,1,3]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,4,7,3,1]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,7,1,3,4]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,7,1,4,3]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,7,3,1,4]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,7,3,4,1]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,7,4,1,3]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,7,4,3,1]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,1,3,4,6]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,1,3,6,4]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,1,4,3,6]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,1,4,6,3]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,1,6,3,4]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,1,6,4,3]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,3,1,4,6]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,3,1,6,4]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,3,4,1,6]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,3,4,6,1]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,3,6,1,4]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,3,6,4,1]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,4,1,3,6]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,4,1,6,3]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,4,3,1,6]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,4,3,6,1]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,4,6,1,3]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,4,6,3,1]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,6,1,3,4]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,6,1,4,3]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,6,3,1,4]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,6,3,4,1]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,6,4,1,3]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,6,4,3,1]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,3,4,5,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,3,4,7,5]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,3,5,4,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,3,5,7,4]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,3,7,4,5]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,3,7,5,4]=>[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,4,3,5,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,4,3,7,5]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,4,5,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,4,5,7,3]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,4,7,3,5]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,4,7,5,3]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,5,3,4,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,5,3,7,4]=>[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,5,4,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,5,4,7,3]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,5,7,3,4]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,5,7,4,3]=>[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,7,3,4,5]=>[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,7,3,5,4]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,7,4,3,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,7,4,5,3]=>[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,7,5,3,4]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,7,5,4,3]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,1,4,5,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,1,4,7,5]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,1,5,4,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,1,5,7,4]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,1,7,4,5]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,1,7,5,4]=>[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,4,1,5,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,4,1,7,5]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,4,5,1,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,4,5,7,1]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,4,7,1,5]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,4,7,5,1]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,5,1,4,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,5,1,7,4]=>[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,5,4,1,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,5,4,7,1]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,5,7,1,4]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,5,7,4,1]=>[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,7,1,4,5]=>[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,7,1,5,4]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,7,4,1,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,7,4,5,1]=>[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,7,5,1,4]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,7,5,4,1]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,1,3,5,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,1,3,7,5]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,1,5,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,1,5,7,3]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,1,7,3,5]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,1,7,5,3]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,3,1,5,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,3,1,7,5]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,3,5,1,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,3,5,7,1]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,3,7,1,5]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,3,7,5,1]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,5,1,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,5,1,7,3]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,5,3,1,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,5,3,7,1]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,5,7,1,3]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,7,1,3,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,7,1,5,3]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,7,3,1,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,7,3,5,1]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,7,5,1,3]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,1,3,4,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,1,3,7,4]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,1,4,3,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,1,4,7,3]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,1,7,3,4]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,1,7,4,3]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,3,1,4,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,3,1,7,4]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,3,4,1,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,3,4,7,1]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,3,7,1,4]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,3,7,4,1]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,4,1,3,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,4,1,7,3]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,4,3,1,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,4,3,7,1]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,4,7,1,3]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,4,7,3,1]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,7,1,3,4]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,7,1,4,3]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,7,3,1,4]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,7,3,4,1]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,7,4,1,3]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,7,4,3,1]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,1,3,4,5]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,1,3,5,4]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,1,4,3,5]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,1,4,5,3]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,1,5,3,4]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,1,5,4,3]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,3,1,4,5]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,3,1,5,4]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,3,4,1,5]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,3,4,5,1]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,3,5,1,4]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,3,5,4,1]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,4,1,3,5]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,4,1,5,3]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,4,3,1,5]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,4,3,5,1]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,4,5,1,3]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,4,5,3,1]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,5,1,3,4]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,5,1,4,3]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,5,3,1,4]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,5,3,4,1]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,5,4,1,3]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,5,4,3,1]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,3,4,5,6]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,3,4,6,5]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,3,5,4,6]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,3,5,6,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,3,6,4,5]=>[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,3,6,5,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,4,3,5,6]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,4,3,6,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,4,5,3,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,4,5,6,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,4,6,3,5]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,4,6,5,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,5,3,4,6]=>[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,5,3,6,4]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,5,4,3,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,5,4,6,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,5,6,3,4]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,5,6,4,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,6,3,4,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,6,3,5,4]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,6,4,3,5]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,6,4,5,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,6,5,3,4]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,6,5,4,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,1,4,5,6]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,1,4,6,5]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,1,5,4,6]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,1,5,6,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,1,6,4,5]=>[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,1,6,5,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,4,1,5,6]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,4,1,6,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,4,5,1,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,4,6,1,5]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,4,6,5,1]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,5,1,4,6]=>[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,5,1,6,4]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,5,4,1,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,5,4,6,1]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,5,6,1,4]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,5,6,4,1]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,6,1,4,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,6,1,5,4]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,6,4,1,5]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,6,4,5,1]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,6,5,1,4]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,6,5,4,1]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,1,3,5,6]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,1,3,6,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,1,5,3,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,1,5,6,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,1,6,3,5]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,1,6,5,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,3,1,5,6]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,3,1,6,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,3,5,1,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,3,5,6,1]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,3,6,1,5]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,3,6,5,1]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,5,1,3,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,5,1,6,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,5,3,1,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,5,3,6,1]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,5,6,1,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,6,1,3,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,6,1,5,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,6,3,1,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,6,3,5,1]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,6,5,1,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,1,3,4,6]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,1,3,6,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,1,4,3,6]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,1,4,6,3]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,1,6,3,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,1,6,4,3]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,3,1,4,6]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,3,1,6,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,3,4,1,6]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,3,4,6,1]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,3,6,1,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,3,6,4,1]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,4,1,3,6]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,4,1,6,3]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,4,3,1,6]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,4,3,6,1]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,4,6,1,3]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,4,6,3,1]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,6,1,3,4]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,6,1,4,3]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,6,3,1,4]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,6,3,4,1]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,6,4,1,3]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,6,4,3,1]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,1,3,4,5]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,1,3,5,4]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,1,4,3,5]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,1,4,5,3]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,1,5,3,4]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,1,5,4,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,3,1,4,5]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,3,1,5,4]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,3,4,1,5]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,3,4,5,1]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,3,5,1,4]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,3,5,4,1]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,4,1,3,5]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,4,1,5,3]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,4,3,1,5]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,4,3,5,1]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,4,5,1,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,4,5,3,1]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,5,1,3,4]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,5,1,4,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,5,3,1,4]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,5,3,4,1]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,5,4,1,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,5,4,3,1]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,4,5,7,6]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,4,6,5,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,4,6,7,5]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,4,7,5,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,4,7,6,5]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,5,4,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,5,4,7,6]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,5,6,4,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,5,6,7,4]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,5,7,4,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,5,7,6,4]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,6,4,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,6,4,7,5]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,6,5,4,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,6,5,7,4]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,6,7,4,5]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,6,7,5,4]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,7,4,5,6]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,7,4,6,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,7,5,4,6]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,7,5,6,4]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,7,6,4,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,7,6,5,4]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,2,5,7,6]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,2,6,5,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,2,6,7,5]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,2,7,5,6]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,2,7,6,5]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,5,2,7,6]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,5,7,2,6]=>[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,6,2,5,7]=>[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,6,2,7,5]=>[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,6,5,2,7]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,6,5,7,2]=>[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,6,7,2,5]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,6,7,5,2]=>[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,2,5,6]=>[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,2,6,5]=>[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,5,2,6]=>[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,6,2,5]=>[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,2,4,6,7]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,2,4,7,6]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,2,6,4,7]=>[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,2,6,7,4]=>[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,2,7,4,6]=>[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,2,7,6,4]=>[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,4,2,6,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,4,2,7,6]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,4,6,2,7]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,4,6,7,2]=>[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,4,7,2,6]=>[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,4,7,6,2]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,6,2,4,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,6,2,7,4]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,6,4,2,7]=>[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,6,4,7,2]=>[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,6,7,2,4]=>[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,6,7,4,2]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,7,2,4,6]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,5,7,2,6,4]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,5,7,4,2,6]=>[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,7,4,6,2]=>[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,7,6,2,4]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,7,6,4,2]=>[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,2,4,5,7]=>[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,2,4,7,5]=>[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,2,5,4,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,2,5,7,4]=>[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,2,7,4,5]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,2,7,5,4]=>[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,4,2,5,7]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,4,2,7,5]=>[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,4,5,2,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,4,5,7,2]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,4,7,2,5]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,4,7,5,2]=>[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,5,2,4,7]=>[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,5,2,7,4]=>[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,5,4,2,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,5,4,7,2]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,5,7,4,2]=>[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,7,2,4,5]=>[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,7,2,5,4]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,7,4,2,5]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,7,4,5,2]=>[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,7,5,2,4]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,7,5,4,2]=>[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,4,5,6]=>[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,4,6,5]=>[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,5,4,6]=>[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,5,6,4]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,6,4,5]=>[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,6,5,4]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,4,2,5,6]=>[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,4,2,6,5]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,4,5,2,6]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,4,6,2,5]=>[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,4,6,5,2]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,5,2,4,6]=>[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,5,2,6,4]=>[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,5,4,2,6]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,5,4,6,2]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,5,6,2,4]=>[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,6,2,4,5]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,6,2,5,4]=>[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,6,4,2,5]=>[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,6,4,5,2]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,6,5,2,4]=>[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,6,5,4,2]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,4,5,7,6]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,4,6,5,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,4,6,7,5]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,4,7,5,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,4,7,6,5]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,5,4,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,5,4,7,6]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,5,6,4,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,5,6,7,4]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,5,7,4,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,5,7,6,4]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,6,4,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,6,4,7,5]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,6,5,4,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,6,5,7,4]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,6,7,4,5]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,6,7,5,4]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,7,4,5,6]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,7,4,6,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,7,5,4,6]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,7,5,6,4]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,7,6,4,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,7,6,5,4]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,1,5,6,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,1,5,7,6]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,1,6,5,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,1,6,7,5]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,1,7,5,6]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,1,7,6,5]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,5,1,6,7]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,5,1,7,6]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,5,6,1,7]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,5,6,7,1]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,5,7,1,6]=>[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,5,7,6,1]=>[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,6,1,5,7]=>[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,6,1,7,5]=>[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,6,5,1,7]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,6,5,7,1]=>[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,6,7,1,5]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,6,7,5,1]=>[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,7,1,5,6]=>[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,7,1,6,5]=>[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,7,5,1,6]=>[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,7,5,6,1]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,7,6,1,5]=>[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,7,6,5,1]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,1,4,6,7]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,1,4,7,6]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,1,6,4,7]=>[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,1,6,7,4]=>[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,1,7,4,6]=>[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,1,7,6,4]=>[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,4,1,6,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,4,1,7,6]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,4,6,1,7]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,4,6,7,1]=>[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,4,7,1,6]=>[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,4,7,6,1]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,6,1,4,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,6,1,7,4]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,6,4,1,7]=>[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,6,4,7,1]=>[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,6,7,1,4]=>[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,6,7,4,1]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,7,1,4,6]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,5,7,1,6,4]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,5,7,4,1,6]=>[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,7,4,6,1]=>[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,7,6,1,4]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,7,6,4,1]=>[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,1,4,5,7]=>[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,1,4,7,5]=>[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,1,5,4,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,1,5,7,4]=>[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,1,7,4,5]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,1,7,5,4]=>[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,4,1,5,7]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,4,1,7,5]=>[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,4,5,1,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,4,5,7,1]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,4,7,1,5]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,4,7,5,1]=>[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,5,1,4,7]=>[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,5,1,7,4]=>[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,5,4,1,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,5,4,7,1]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,5,7,1,4]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,5,7,4,1]=>[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,7,1,4,5]=>[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,7,1,5,4]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,7,4,1,5]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,7,4,5,1]=>[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,7,5,1,4]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,7,5,4,1]=>[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,1,4,5,6]=>[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,1,4,6,5]=>[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,1,5,4,6]=>[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,1,5,6,4]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,1,6,4,5]=>[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,1,6,5,4]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,4,1,5,6]=>[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,4,1,6,5]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,4,5,1,6]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,4,5,6,1]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,4,6,1,5]=>[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,4,6,5,1]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,5,1,4,6]=>[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,5,1,6,4]=>[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,5,4,1,6]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,5,4,6,1]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,5,6,1,4]=>[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,5,6,4,1]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,6,1,4,5]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,6,1,5,4]=>[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,6,4,1,5]=>[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,6,4,5,1]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,6,5,1,4]=>[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,6,5,4,1]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,2,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,2,5,7,6]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,2,6,5,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,2,6,7,5]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,2,7,5,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,2,7,6,5]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,5,2,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,5,2,7,6]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,5,6,2,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,5,6,7,2]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,5,7,2,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,5,7,6,2]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,6,2,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,6,2,7,5]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,6,5,2,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,6,5,7,2]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,6,7,2,5]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,6,7,5,2]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,2,5,6]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,2,6,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,5,2,6]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,5,6,2]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,6,2,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,6,5,2]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,1,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,1,5,7,6]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,1,6,5,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,1,6,7,5]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,1,7,5,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,1,7,6,5]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,5,1,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,5,1,7,6]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,5,6,1,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,5,6,7,1]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,5,7,1,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,5,7,6,1]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,6,1,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,6,1,7,5]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,6,5,1,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,6,5,7,1]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,6,7,1,5]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,6,7,5,1]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,7,1,5,6]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,7,1,6,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,7,5,1,6]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,7,5,6,1]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,7,6,1,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,7,6,5,1]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,1,2,6,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,1,2,7,6]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,1,6,2,7]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,1,6,7,2]=>[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,1,7,2,6]=>[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,1,7,6,2]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,2,1,6,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,2,1,7,6]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,2,6,1,7]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,2,6,7,1]=>[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,2,7,1,6]=>[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,2,7,6,1]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,6,1,2,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,6,1,7,2]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,6,2,1,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,6,2,7,1]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,6,7,1,2]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,6,7,2,1]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,7,1,2,6]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,4,5,7,1,6,2]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,4,5,7,2,1,6]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,4,5,7,2,6,1]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,4,5,7,6,1,2]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,7,6,2,1]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,1,2,5,7]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,1,2,7,5]=>[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,1,5,2,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,1,5,7,2]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,1,7,2,5]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,1,7,5,2]=>[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,2,1,5,7]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,2,1,7,5]=>[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,2,5,1,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,2,5,7,1]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,2,7,1,5]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,2,7,5,1]=>[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,5,1,2,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,5,1,7,2]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,5,2,1,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,5,2,7,1]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,5,7,1,2]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,5,7,2,1]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,7,1,2,5]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,7,1,5,2]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,7,2,1,5]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,7,2,5,1]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,7,5,1,2]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,7,5,2,1]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,1,2,5,6]=>[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,1,2,6,5]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,1,5,2,6]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,1,5,6,2]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,1,6,2,5]=>[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,1,6,5,2]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,2,1,5,6]=>[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,2,1,6,5]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,2,5,1,6]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,2,5,6,1]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,2,6,1,5]=>[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,2,6,5,1]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,5,1,2,6]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,5,1,6,2]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,5,2,1,6]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,5,2,6,1]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,5,6,1,2]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,5,6,2,1]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,6,1,2,5]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,6,1,5,2]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,6,2,1,5]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,6,2,5,1]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,6,5,1,2]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,6,5,2,1]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,2,4,7,6]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,2,6,4,7]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,2,6,7,4]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,2,7,4,6]=>[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,2,7,6,4]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,4,2,6,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,4,2,7,6]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,4,6,2,7]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,4,6,7,2]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,4,7,2,6]=>[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,4,7,6,2]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,6,2,4,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,6,2,7,4]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,6,4,2,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,6,4,7,2]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,6,7,2,4]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,6,7,4,2]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,7,2,4,6]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,7,2,6,4]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,7,4,2,6]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,7,4,6,2]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,7,6,2,4]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,7,6,4,2]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,1,4,6,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,1,4,7,6]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,1,6,4,7]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,1,6,7,4]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,1,7,4,6]=>[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,1,7,6,4]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,4,1,6,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,4,1,7,6]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,4,6,1,7]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,4,6,7,1]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,4,7,1,6]=>[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,4,7,6,1]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,6,1,4,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,6,1,7,4]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,6,4,1,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,6,4,7,1]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,6,7,1,4]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,6,7,4,1]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,7,1,4,6]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,7,1,6,4]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,7,4,1,6]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,7,4,6,1]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,2,7,6,1,4]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,7,6,4,1]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,1,2,6,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,1,2,7,6]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,1,6,2,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,1,6,7,2]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,1,7,2,6]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,1,7,6,2]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,2,1,6,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,2,1,7,6]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,2,6,1,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,2,6,7,1]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,2,7,1,6]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,2,7,6,1]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,6,1,2,7]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,6,1,7,2]=>[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,6,2,1,7]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,6,2,7,1]=>[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,6,7,1,2]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,6,7,2,1]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,7,1,2,6]=>[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,7,1,6,2]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,7,2,1,6]=>[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,7,2,6,1]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,7,6,1,2]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,7,6,2,1]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,1,2,4,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,1,2,7,4]=>[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,1,4,2,7]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,1,4,7,2]=>[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,1,7,2,4]=>[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,1,7,4,2]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,2,1,4,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,2,1,7,4]=>[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,2,4,1,7]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,2,4,7,1]=>[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,2,7,1,4]=>[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,2,7,4,1]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,4,1,2,7]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,4,1,7,2]=>[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,4,2,1,7]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,4,2,7,1]=>[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,4,7,1,2]=>[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,4,7,2,1]=>[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,7,1,2,4]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,7,1,4,2]=>[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,7,2,1,4]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,7,2,4,1]=>[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,7,4,1,2]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,7,4,2,1]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,1,2,4,6]=>[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,1,2,6,4]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,1,4,2,6]=>[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,1,4,6,2]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,1,6,2,4]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,1,6,4,2]=>[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,7,2,1,4,6]=>[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,2,1,6,4]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,2,4,1,6]=>[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,2,4,6,1]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,2,6,1,4]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,2,6,4,1]=>[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,7,4,1,2,6]=>[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,4,1,6,2]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,4,2,1,6]=>[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,4,2,6,1]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,4,6,1,2]=>[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,7,4,6,2,1]=>[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,7,6,1,2,4]=>[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,6,1,4,2]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,6,2,1,4]=>[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,6,2,4,1]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,6,4,1,2]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,6,4,2,1]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,2,4,5,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,2,4,7,5]=>[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,2,5,4,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,2,5,7,4]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,2,7,4,5]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,2,7,5,4]=>[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,4,2,5,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,4,2,7,5]=>[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,4,5,2,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,4,5,7,2]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,4,7,2,5]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,4,7,5,2]=>[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,5,2,4,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,5,2,7,4]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,5,4,2,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,5,4,7,2]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,5,7,2,4]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,5,7,4,2]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,7,2,4,5]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,7,2,5,4]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,7,4,2,5]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,7,4,5,2]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,7,5,2,4]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,1,7,5,4,2]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,1,4,5,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,1,4,7,5]=>[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,1,5,4,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,1,5,7,4]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,1,7,4,5]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,1,7,5,4]=>[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,4,1,5,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,4,1,7,5]=>[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,4,5,1,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,4,5,7,1]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,4,7,1,5]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,4,7,5,1]=>[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,5,1,4,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,5,1,7,4]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,5,4,1,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,5,4,7,1]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,5,7,1,4]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,5,7,4,1]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,7,1,4,5]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,7,1,5,4]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,7,4,1,5]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,7,4,5,1]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,7,5,1,4]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,7,5,4,1]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,4,1,2,5,7]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,1,2,7,5]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,1,5,2,7]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,1,5,7,2]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,1,7,2,5]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,1,7,5,2]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,2,1,5,7]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,2,1,7,5]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,2,5,1,7]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,2,5,7,1]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,2,7,1,5]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,2,7,5,1]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,5,1,2,7]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,5,1,7,2]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,5,2,1,7]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,5,2,7,1]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,5,7,1,2]=>[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,5,7,2,1]=>[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,7,1,2,5]=>[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,7,1,5,2]=>[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,7,2,1,5]=>[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,7,2,5,1]=>[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,7,5,1,2]=>[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,7,5,2,1]=>[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,1,2,4,7]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,1,2,7,4]=>[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,1,4,2,7]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,1,4,7,2]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,1,7,2,4]=>[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,1,7,4,2]=>[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,2,1,4,7]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,2,1,7,4]=>[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,2,4,1,7]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,2,4,7,1]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,2,7,1,4]=>[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,2,7,4,1]=>[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,4,1,2,7]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,4,1,7,2]=>[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,4,2,1,7]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,4,2,7,1]=>[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,4,7,1,2]=>[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,4,7,2,1]=>[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,7,1,2,4]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,7,1,4,2]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,7,2,1,4]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,7,2,4,1]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,7,4,1,2]=>[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,7,4,2,1]=>[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,1,2,4,5]=>[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,1,2,5,4]=>[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,1,4,2,5]=>[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,1,4,5,2]=>[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,1,5,2,4]=>[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,1,5,4,2]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,2,1,4,5]=>[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,2,1,5,4]=>[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,2,4,1,5]=>[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,2,4,5,1]=>[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,2,5,1,4]=>[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,2,5,4,1]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,4,1,2,5]=>[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,4,1,5,2]=>[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,4,2,1,5]=>[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,4,2,5,1]=>[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,4,5,1,2]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,4,5,2,1]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,5,1,2,4]=>[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,5,1,4,2]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,5,2,1,4]=>[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,5,2,4,1]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,5,4,1,2]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,5,4,2,1]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,2,4,5,6]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,2,4,6,5]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,2,5,4,6]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,2,5,6,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,2,6,4,5]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,2,6,5,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,4,2,5,6]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,4,2,6,5]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,4,5,2,6]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,4,5,6,2]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,4,6,2,5]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,4,6,5,2]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,5,2,4,6]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,5,2,6,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,5,4,2,6]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,5,4,6,2]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,5,6,2,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,5,6,4,2]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,6,2,4,5]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,6,2,5,4]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,6,4,2,5]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,6,4,5,2]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,6,5,2,4]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,6,5,4,2]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,1,4,5,6]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,1,4,6,5]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,1,5,4,6]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,1,5,6,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,1,6,4,5]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,1,6,5,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,4,1,5,6]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,4,1,6,5]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,4,5,1,6]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,4,5,6,1]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,4,6,1,5]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,4,6,5,1]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,5,1,4,6]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,5,1,6,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,5,4,1,6]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,5,4,6,1]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,5,6,1,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,5,6,4,1]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,6,1,4,5]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,6,1,5,4]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,6,4,1,5]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,6,4,5,1]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,6,5,1,4]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,2,6,5,4,1]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,1,2,5,6]=>[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,1,2,6,5]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,1,5,2,6]=>[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,1,5,6,2]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,1,6,2,5]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,1,6,5,2]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,2,1,5,6]=>[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,2,1,6,5]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,2,5,1,6]=>[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,2,5,6,1]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,2,6,1,5]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,2,6,5,1]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,5,1,2,6]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,5,1,6,2]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,5,2,1,6]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,5,2,6,1]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,5,6,1,2]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,5,6,2,1]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,6,1,2,5]=>[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,6,1,5,2]=>[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,6,2,1,5]=>[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,6,2,5,1]=>[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,6,5,1,2]=>[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,6,5,2,1]=>[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,1,2,4,6]=>[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,5,1,2,6,4]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,1,4,2,6]=>[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,5,1,4,6,2]=>[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,5,1,6,2,4]=>[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,1,6,4,2]=>[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,2,1,4,6]=>[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,5,2,1,6,4]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,2,4,1,6]=>[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,5,2,4,6,1]=>[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,5,2,6,1,4]=>[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,2,6,4,1]=>[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,4,1,2,6]=>[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,5,4,1,6,2]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,4,2,1,6]=>[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,5,4,2,6,1]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,4,6,1,2]=>[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,4,6,2,1]=>[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,6,1,2,4]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,6,1,4,2]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,6,2,1,4]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,6,2,4,1]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,6,4,1,2]=>[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,6,4,2,1]=>[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,1,2,4,5]=>[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,1,2,5,4]=>[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,1,4,2,5]=>[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,1,4,5,2]=>[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,1,5,2,4]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,1,5,4,2]=>[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,2,1,4,5]=>[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,2,1,5,4]=>[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,2,4,1,5]=>[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,2,4,5,1]=>[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,2,5,1,4]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,2,5,4,1]=>[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,4,1,2,5]=>[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,4,1,5,2]=>[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,4,2,1,5]=>[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,4,2,5,1]=>[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,4,5,1,2]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,4,5,2,1]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,5,1,2,4]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,5,1,4,2]=>[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,5,2,1,4]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,5,2,4,1]=>[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,5,4,1,2]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,5,4,2,1]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,3,5,7,6]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,3,6,5,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,3,6,7,5]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,3,7,5,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,3,7,6,5]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,5,3,6,7]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,5,3,7,6]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,5,6,3,7]=>[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,5,6,7,3]=>[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,5,7,3,6]=>[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,5,7,6,3]=>[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,6,3,5,7]=>[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,6,3,7,5]=>[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,6,5,3,7]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,6,5,7,3]=>[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,6,7,3,5]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,6,7,5,3]=>[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,3,5,6]=>[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,3,6,5]=>[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,5,3,6]=>[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,5,6,3]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,6,3,5]=>[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,6,5,3]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,2,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,2,5,7,6]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,2,6,5,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,2,6,7,5]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,2,7,5,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,2,7,6,5]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,5,2,6,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,5,2,7,6]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,5,6,2,7]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,5,6,7,2]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,5,7,2,6]=>[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,5,7,6,2]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,6,2,5,7]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,6,2,7,5]=>[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,6,5,2,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,6,5,7,2]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,6,7,2,5]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,6,7,5,2]=>[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,2,5,6]=>[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,2,6,5]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,5,2,6]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,5,6,2]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,6,2,5]=>[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,6,5,2]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,2,3,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,2,3,7,6]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,2,6,3,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,2,6,7,3]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,2,7,3,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,2,7,6,3]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,3,2,6,7]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,3,2,7,6]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,3,6,2,7]=>[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,3,6,7,2]=>[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,3,7,2,6]=>[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,3,7,6,2]=>[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,6,2,3,7]=>[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,6,2,7,3]=>[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,6,3,2,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,6,3,7,2]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,6,7,2,3]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,6,7,3,2]=>[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,7,2,3,6]=>[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,7,2,6,3]=>[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,7,3,2,6]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,7,3,6,2]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,7,6,2,3]=>[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,7,6,3,2]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,2,3,5,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,2,3,7,5]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,2,5,3,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,2,5,7,3]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,2,7,3,5]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,2,7,5,3]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,3,2,5,7]=>[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,3,2,7,5]=>[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,6,3,5,2,7]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,3,5,7,2]=>[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,3,7,2,5]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,3,7,5,2]=>[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,5,2,3,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,5,2,7,3]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,5,3,2,7]=>[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,5,3,7,2]=>[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,5,7,2,3]=>[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,5,7,3,2]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,2,3,5]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,2,5,3]=>[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,3,2,5]=>[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,3,5,2]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,5,2,3]=>[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,5,3,2]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,2,3,5,6]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,2,3,6,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,2,5,3,6]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,2,5,6,3]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,2,6,3,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,2,6,5,3]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,3,2,5,6]=>[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,3,2,6,5]=>[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,3,5,2,6]=>[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,3,5,6,2]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,3,6,2,5]=>[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,3,6,5,2]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,5,2,3,6]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,5,2,6,3]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,5,3,2,6]=>[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,5,3,6,2]=>[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,5,6,2,3]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,5,6,3,2]=>[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,6,2,3,5]=>[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,6,2,5,3]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,6,3,2,5]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,6,3,5,2]=>[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,6,5,2,3]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,6,5,3,2]=>[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,1,3,5,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,3,5,7,6]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,3,6,5,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,3,6,7,5]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,3,7,5,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,3,7,6,5]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,5,3,6,7]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,5,3,7,6]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,5,6,3,7]=>[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,5,6,7,3]=>[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,5,7,3,6]=>[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,5,7,6,3]=>[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,6,3,5,7]=>[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,6,3,7,5]=>[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,6,5,3,7]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,6,5,7,3]=>[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,6,7,3,5]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,6,7,5,3]=>[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,7,3,5,6]=>[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,7,3,6,5]=>[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,7,5,3,6]=>[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,7,5,6,3]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,7,6,3,5]=>[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,7,6,5,3]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,1,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,1,5,7,6]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,1,6,5,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,1,6,7,5]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,1,7,5,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,1,7,6,5]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,5,1,6,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,5,1,7,6]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,5,6,1,7]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,5,6,7,1]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,5,7,1,6]=>[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,5,7,6,1]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,6,1,5,7]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,6,1,7,5]=>[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,6,5,1,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,6,5,7,1]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,6,7,1,5]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,6,7,5,1]=>[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,7,1,5,6]=>[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,7,1,6,5]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,7,5,1,6]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,7,5,6,1]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,7,6,1,5]=>[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,7,6,5,1]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,1,3,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,1,3,7,6]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,1,6,3,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,1,6,7,3]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,1,7,3,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,1,7,6,3]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,3,1,6,7]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,3,1,7,6]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,3,6,1,7]=>[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,3,6,7,1]=>[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,3,7,1,6]=>[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,3,7,6,1]=>[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,6,1,3,7]=>[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,6,1,7,3]=>[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,6,3,1,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,6,3,7,1]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,6,7,1,3]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,6,7,3,1]=>[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,7,1,3,6]=>[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,7,1,6,3]=>[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,7,3,1,6]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,7,3,6,1]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,7,6,1,3]=>[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,7,6,3,1]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,1,3,5,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,1,3,7,5]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,1,5,3,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,1,5,7,3]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,1,7,3,5]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,1,7,5,3]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,3,1,5,7]=>[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,3,1,7,5]=>[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,6,3,5,1,7]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,3,5,7,1]=>[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,3,7,1,5]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,3,7,5,1]=>[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,5,1,3,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,5,1,7,3]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,5,3,1,7]=>[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,5,3,7,1]=>[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,5,7,1,3]=>[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,5,7,3,1]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,7,1,3,5]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,7,1,5,3]=>[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,7,3,1,5]=>[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,7,3,5,1]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,7,5,1,3]=>[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,7,5,3,1]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,1,3,5,6]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,1,3,6,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,1,5,3,6]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,1,5,6,3]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,1,6,3,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,1,6,5,3]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,3,1,5,6]=>[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,7,3,1,6,5]=>[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,3,5,1,6]=>[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,3,5,6,1]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,3,6,1,5]=>[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,7,3,6,5,1]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,5,1,3,6]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,7,5,1,6,3]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,7,5,3,1,6]=>[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,7,5,3,6,1]=>[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,7,5,6,1,3]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,5,6,3,1]=>[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,6,1,3,5]=>[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,6,1,5,3]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,6,3,1,5]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,6,3,5,1]=>[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,6,5,1,3]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,6,5,3,1]=>[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,3,1,2,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,2,5,7,6]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,2,6,5,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,2,6,7,5]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,2,7,5,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,2,7,6,5]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,5,2,6,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,5,2,7,6]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,5,6,2,7]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,5,6,7,2]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,5,7,2,6]=>[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,5,7,6,2]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,6,2,5,7]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,6,2,7,5]=>[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,6,5,2,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,6,5,7,2]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,6,7,2,5]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,6,7,5,2]=>[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,7,2,5,6]=>[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,7,2,6,5]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,7,5,2,6]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,7,5,6,2]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,7,6,2,5]=>[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,7,6,5,2]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,1,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,1,5,7,6]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,1,6,5,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,1,6,7,5]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,1,7,5,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,1,7,6,5]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,5,1,6,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,5,1,7,6]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,5,6,1,7]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,5,6,7,1]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,5,7,1,6]=>[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,5,7,6,1]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,6,1,5,7]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,6,1,7,5]=>[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,6,5,1,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,6,7,1,5]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,6,7,5,1]=>[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,7,1,5,6]=>[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,7,1,6,5]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,7,5,1,6]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,7,5,6,1]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,7,6,1,5]=>[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,1,2,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,1,2,7,6]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,1,6,2,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,1,6,7,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,1,7,2,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,1,7,6,2]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,2,1,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,2,1,7,6]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,2,6,1,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,2,6,7,1]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,2,7,1,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,2,7,6,1]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,6,1,2,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,6,1,7,2]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,6,2,1,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,6,2,7,1]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,6,7,1,2]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,6,7,2,1]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,7,1,2,6]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,7,1,6,2]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,7,2,1,6]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,7,2,6,1]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,7,6,1,2]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,7,6,2,1]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,1,2,5,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,1,2,7,5]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,1,5,2,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,1,5,7,2]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,1,7,2,5]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,1,7,5,2]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,2,1,5,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,2,1,7,5]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,2,5,1,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,2,5,7,1]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,2,7,1,5]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,2,7,5,1]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,5,1,2,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,5,1,7,2]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,5,2,1,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,5,2,7,1]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,5,7,1,2]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,5,7,2,1]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,7,1,2,5]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,7,1,5,2]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,7,2,1,5]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,7,2,5,1]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,7,5,1,2]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,7,5,2,1]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,1,2,5,6]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,1,2,6,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,1,5,2,6]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,1,5,6,2]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,1,6,2,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,1,6,5,2]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,2,1,5,6]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,2,1,6,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,2,5,1,6]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,2,5,6,1]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,2,6,1,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,2,6,5,1]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,5,1,2,6]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,3,7,5,1,6,2]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,3,7,5,2,1,6]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,3,7,5,2,6,1]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,3,7,5,6,1,2]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,5,6,2,1]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,6,1,2,5]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,6,1,5,2]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,6,2,1,5]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,6,2,5,1]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,6,5,1,2]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,6,5,2,1]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,2,3,7,6]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,2,6,3,7]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,2,6,7,3]=>[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,2,7,3,6]=>[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,2,7,6,3]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,3,2,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,3,2,7,6]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,3,6,2,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,3,6,7,2]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,3,7,2,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,3,7,6,2]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,6,2,3,7]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,6,2,7,3]=>[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,6,3,2,7]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,6,3,7,2]=>[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,1,6,7,2,3]=>[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,6,7,3,2]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,7,2,3,6]=>[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,7,2,6,3]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,7,3,2,6]=>[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,7,3,6,2]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,7,6,2,3]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,7,6,3,2]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,2,1,3,6,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,1,3,7,6]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,1,6,3,7]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,1,6,7,3]=>[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,1,7,3,6]=>[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,1,7,6,3]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,3,1,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,3,1,7,6]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,3,6,1,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,3,6,7,1]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,3,7,1,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,3,7,6,1]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,6,1,3,7]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,6,1,7,3]=>[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,6,3,1,7]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,6,3,7,1]=>[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,2,6,7,1,3]=>[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,6,7,3,1]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,7,1,3,6]=>[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,7,1,6,3]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,7,3,1,6]=>[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,7,3,6,1]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,7,6,1,3]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,7,6,3,1]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,3,1,2,6,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,1,2,7,6]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,1,6,2,7]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,1,6,7,2]=>[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,1,7,2,6]=>[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,1,7,6,2]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,2,1,6,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,2,1,7,6]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,2,6,1,7]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,2,6,7,1]=>[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,2,7,1,6]=>[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,2,7,6,1]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,6,1,2,7]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,6,1,7,2]=>[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,3,6,2,1,7]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,6,2,7,1]=>[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,3,6,7,1,2]=>[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,6,7,2,1]=>[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,7,1,2,6]=>[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,7,1,6,2]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,7,2,1,6]=>[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,7,2,6,1]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,7,6,1,2]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,3,7,6,2,1]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,6,1,2,3,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,1,2,7,3]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,1,3,2,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,1,3,7,2]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,1,7,2,3]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,1,7,3,2]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,2,1,3,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,2,1,7,3]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,2,3,1,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,2,3,7,1]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,2,7,1,3]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,2,7,3,1]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,3,1,2,7]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,3,1,7,2]=>[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,3,2,1,7]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,3,2,7,1]=>[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,3,7,1,2]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,3,7,2,1]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,7,1,2,3]=>[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,7,1,3,2]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,7,2,1,3]=>[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,7,2,3,1]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,7,3,1,2]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,7,3,2,1]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,1,2,3,6]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,1,2,6,3]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,1,3,2,6]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,1,3,6,2]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,1,6,2,3]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,1,6,3,2]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,2,1,3,6]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,2,1,6,3]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,2,3,1,6]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,2,3,6,1]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,2,6,1,3]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,2,6,3,1]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,3,1,2,6]=>[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,3,1,6,2]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,3,2,1,6]=>[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,3,2,6,1]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,3,6,1,2]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,3,6,2,1]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,6,1,2,3]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,6,1,3,2]=>[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,6,2,1,3]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,6,2,3,1]=>[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,6,3,1,2]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,6,3,2,1]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,2,3,5,7]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,2,3,7,5]=>[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,1,2,5,3,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,2,5,7,3]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,2,7,3,5]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,2,7,5,3]=>[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,3,2,5,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,3,2,7,5]=>[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,3,5,2,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,3,5,7,2]=>[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,3,7,2,5]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,3,7,5,2]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,5,2,3,7]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,5,2,7,3]=>[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,5,3,2,7]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,5,3,7,2]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,5,7,2,3]=>[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,5,7,3,2]=>[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,7,2,3,5]=>[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,7,2,5,3]=>[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,7,3,2,5]=>[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,7,3,5,2]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,1,7,5,2,3]=>[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,7,5,3,2]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,2,1,3,5,7]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,1,3,7,5]=>[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,2,1,5,3,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,1,5,7,3]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,1,7,3,5]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,1,7,5,3]=>[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,3,1,5,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,3,1,7,5]=>[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,3,5,1,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,3,5,7,1]=>[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,3,7,1,5]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,3,7,5,1]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,5,1,3,7]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,5,1,7,3]=>[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,5,3,1,7]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,5,3,7,1]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,5,7,1,3]=>[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,5,7,3,1]=>[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,7,1,3,5]=>[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,7,1,5,3]=>[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,7,3,1,5]=>[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,7,3,5,1]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,2,7,5,1,3]=>[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,7,5,3,1]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,3,1,2,5,7]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,1,2,7,5]=>[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,3,1,5,2,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,1,5,7,2]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,1,7,2,5]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,1,7,5,2]=>[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,2,1,5,7]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,2,1,7,5]=>[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,3,2,5,1,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,2,5,7,1]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,2,7,1,5]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,2,7,5,1]=>[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,5,1,2,7]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,5,1,7,2]=>[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,5,2,1,7]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,5,2,7,1]=>[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,5,7,1,2]=>[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,5,7,2,1]=>[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,7,1,2,5]=>[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,7,1,5,2]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,3,7,2,1,5]=>[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,7,2,5,1]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,3,7,5,1,2]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,3,7,5,2,1]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,5,1,2,3,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,1,2,7,3]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,1,3,2,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,1,3,7,2]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,1,7,2,3]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,1,7,3,2]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,2,1,3,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,2,1,7,3]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,2,3,1,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,2,3,7,1]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,2,7,1,3]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,2,7,3,1]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,3,1,2,7]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,3,1,7,2]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,3,2,1,7]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,3,2,7,1]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,3,7,1,2]=>[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,3,7,2,1]=>[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,7,1,2,3]=>[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,7,1,3,2]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,5,7,2,1,3]=>[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,7,2,3,1]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,5,7,3,1,2]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,5,7,3,2,1]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,7,1,2,3,5]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,1,2,5,3]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,1,3,2,5]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,1,3,5,2]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,1,5,2,3]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,1,5,3,2]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,2,1,3,5]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,2,1,5,3]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,2,3,1,5]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,2,3,5,1]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,2,5,1,3]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,2,5,3,1]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,3,1,2,5]=>[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,3,1,5,2]=>[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,7,3,2,1,5]=>[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,3,2,5,1]=>[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,7,3,5,1,2]=>[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,7,3,5,2,1]=>[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,7,5,1,2,3]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,5,1,3,2]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,5,2,1,3]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,5,2,3,1]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,5,3,1,2]=>[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,7,5,3,2,1]=>[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,1,2,3,5,6]=>[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,1,2,3,6,5]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,2,5,3,6]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,2,5,6,3]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,2,6,3,5]=>[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,1,2,6,5,3]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,3,2,5,6]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,1,3,2,6,5]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,3,5,2,6]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,1,3,5,6,2]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,3,6,2,5]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,3,6,5,2]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,5,2,3,6]=>[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,5,2,6,3]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,5,3,2,6]=>[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,1,5,3,6,2]=>[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,1,5,6,2,3]=>[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,5,6,3,2]=>[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,6,2,3,5]=>[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,6,2,5,3]=>[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,6,3,2,5]=>[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,1,6,3,5,2]=>[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,6,5,2,3]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,6,5,3,2]=>[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,1,3,5,6]=>[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,2,1,3,6,5]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,1,5,3,6]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,1,5,6,3]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,1,6,3,5]=>[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,2,1,6,5,3]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,3,1,5,6]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,2,3,1,6,5]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,3,5,1,6]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,2,3,5,6,1]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,3,6,1,5]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,3,6,5,1]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,5,1,3,6]=>[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,5,1,6,3]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,5,3,1,6]=>[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,2,5,3,6,1]=>[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,2,5,6,1,3]=>[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,5,6,3,1]=>[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,6,1,3,5]=>[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,6,1,5,3]=>[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,6,3,1,5]=>[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,2,6,3,5,1]=>[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,6,5,1,3]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,6,5,3,1]=>[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,1,2,5,6]=>[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,3,1,2,6,5]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,1,5,2,6]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,1,5,6,2]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,1,6,2,5]=>[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,3,1,6,5,2]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,2,1,5,6]=>[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,3,2,1,6,5]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,2,5,1,6]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,2,5,6,1]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,2,6,1,5]=>[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,3,2,6,5,1]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,5,1,2,6]=>[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,5,1,6,2]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,5,2,1,6]=>[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,5,2,6,1]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,5,6,1,2]=>[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,5,6,2,1]=>[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,6,1,2,5]=>[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,3,6,1,5,2]=>[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,6,2,1,5]=>[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,3,6,2,5,1]=>[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,6,5,1,2]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,6,5,2,1]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,1,2,3,6]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,1,2,6,3]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,1,3,2,6]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,1,3,6,2]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,1,6,2,3]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,1,6,3,2]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,2,1,3,6]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,2,1,6,3]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,2,3,1,6]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,2,3,6,1]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,2,6,1,3]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,2,6,3,1]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,3,1,2,6]=>[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,5,3,1,6,2]=>[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,5,3,2,1,6]=>[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,5,3,2,6,1]=>[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,5,3,6,1,2]=>[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,3,6,2,1]=>[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,6,1,2,3]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,6,1,3,2]=>[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,6,2,1,3]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,6,2,3,1]=>[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,6,3,1,2]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,6,3,2,1]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,1,2,3,5]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,1,2,5,3]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,1,3,2,5]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,1,3,5,2]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,1,5,3,2]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,2,1,3,5]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,2,1,5,3]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,2,3,1,5]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,2,3,5,1]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,2,5,1,3]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,2,5,3,1]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,3,1,2,5]=>[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,3,1,5,2]=>[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,3,2,1,5]=>[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,3,2,5,1]=>[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,3,5,1,2]=>[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,3,5,2,1]=>[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,5,1,2,3]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,5,1,3,2]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,5,2,1,3]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,5,2,3,1]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,5,3,1,2]=>[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,5,3,2,1]=>[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,3,4,7,6]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,3,6,4,7]=>[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,3,6,7,4]=>[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,3,7,4,6]=>[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,3,7,6,4]=>[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,4,3,6,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,4,3,7,6]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,4,6,3,7]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,4,6,7,3]=>[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,2,4,7,3,6]=>[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,2,4,7,6,3]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,6,3,4,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,6,3,7,4]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,6,4,3,7]=>[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,6,4,7,3]=>[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,6,7,3,4]=>[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,6,7,4,3]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,7,3,4,6]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,2,7,3,6,4]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,2,7,4,3,6]=>[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,2,7,4,6,3]=>[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,7,6,3,4]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,7,6,4,3]=>[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,2,4,6,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,2,4,7,6]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,2,6,4,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,2,6,7,4]=>[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,2,7,4,6]=>[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,2,7,6,4]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,4,2,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,4,2,7,6]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,4,6,2,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,4,6,7,2]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,4,7,2,6]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,3,4,7,6,2]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,6,2,4,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,6,2,7,4]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,6,4,2,7]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,6,4,7,2]=>[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,6,7,2,4]=>[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,6,7,4,2]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,7,2,4,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,3,7,2,6,4]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,3,7,4,2,6]=>[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,3,7,4,6,2]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,7,6,2,4]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,7,6,4,2]=>[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,2,3,6,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,2,3,7,6]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,2,6,3,7]=>[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,2,6,7,3]=>[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,2,7,3,6]=>[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,2,7,6,3]=>[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,3,2,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,3,2,7,6]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,3,6,2,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,3,6,7,2]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,3,7,2,6]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,4,3,7,6,2]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,6,2,3,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,6,2,7,3]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,6,3,2,7]=>[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,6,3,7,2]=>[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,6,7,2,3]=>[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,6,7,3,2]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,7,2,3,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,4,7,2,6,3]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,4,7,3,2,6]=>[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,4,7,3,6,2]=>[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,4,7,6,2,3]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,7,6,3,2]=>[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,2,3,4,7]=>[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,2,3,7,4]=>[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,2,4,3,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,2,4,7,3]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,2,7,3,4]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,2,7,4,3]=>[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,6,3,2,4,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,3,2,7,4]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,3,4,2,7]=>[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,3,4,7,2]=>[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,3,7,2,4]=>[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,3,7,4,2]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,4,2,3,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,4,2,7,3]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,4,3,2,7]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,4,3,7,2]=>[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,4,7,2,3]=>[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,6,4,7,3,2]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,2,3,4]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,2,4,3]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,3,2,4]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,3,4,2]=>[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,4,2,3]=>[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,4,3,2]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,2,3,4,6]=>[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,2,3,6,4]=>[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,2,4,3,6]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,7,2,4,6,3]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,7,2,6,3,4]=>[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,2,6,4,3]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,3,2,4,6]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,3,2,6,4]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,3,4,2,6]=>[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,7,3,4,6,2]=>[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,7,3,6,2,4]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,3,6,4,2]=>[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,4,2,3,6]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,4,2,6,3]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,4,3,2,6]=>[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,4,3,6,2]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,4,6,2,3]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,4,6,3,2]=>[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,7,6,2,3,4]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,6,2,4,3]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,6,3,2,4]=>[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,6,3,4,2]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,6,4,2,3]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,6,4,3,2]=>[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,3,4,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,3,4,7,6]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,3,6,4,7]=>[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,3,6,7,4]=>[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,3,7,4,6]=>[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,3,7,6,4]=>[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,4,3,6,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,4,3,7,6]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,4,6,3,7]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,4,6,7,3]=>[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,1,4,7,3,6]=>[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,1,4,7,6,3]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,6,3,4,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,6,3,7,4]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,6,4,3,7]=>[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,6,4,7,3]=>[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,6,7,3,4]=>[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,6,7,4,3]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,7,3,4,6]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,1,7,3,6,4]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,1,7,4,3,6]=>[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,1,7,4,6,3]=>[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,7,6,3,4]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,7,6,4,3]=>[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,1,4,6,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,1,4,7,6]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,1,6,4,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,1,6,7,4]=>[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,1,7,4,6]=>[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,1,7,6,4]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,4,1,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,4,1,7,6]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,4,6,1,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,4,6,7,1]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,4,7,1,6]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,3,4,7,6,1]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,6,1,4,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,6,1,7,4]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,6,4,1,7]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,6,4,7,1]=>[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,6,7,1,4]=>[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,6,7,4,1]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,7,1,4,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,3,7,1,6,4]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,3,7,4,1,6]=>[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,3,7,4,6,1]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,7,6,1,4]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,7,6,4,1]=>[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,1,3,6,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,1,3,7,6]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,1,6,3,7]=>[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,1,6,7,3]=>[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,1,7,3,6]=>[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,1,7,6,3]=>[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,3,1,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,3,1,7,6]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,3,6,1,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,3,6,7,1]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,3,7,1,6]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,4,3,7,6,1]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,6,1,3,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,6,1,7,3]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,6,3,1,7]=>[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,6,3,7,1]=>[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,6,7,1,3]=>[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,6,7,3,1]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,7,1,3,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,4,7,1,6,3]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,4,7,3,1,6]=>[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,4,7,3,6,1]=>[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,4,7,6,1,3]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,7,6,3,1]=>[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,1,3,4,7]=>[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,1,3,7,4]=>[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,1,4,3,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,1,4,7,3]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,1,7,3,4]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,1,7,4,3]=>[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,6,3,1,4,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,3,1,7,4]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,3,4,1,7]=>[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,3,4,7,1]=>[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,3,7,1,4]=>[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,3,7,4,1]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,4,1,3,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,4,1,7,3]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,4,3,1,7]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,4,3,7,1]=>[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,4,7,1,3]=>[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,6,4,7,3,1]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,7,1,3,4]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,7,1,4,3]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,7,3,1,4]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,7,3,4,1]=>[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,7,4,1,3]=>[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,7,4,3,1]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,1,3,4,6]=>[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,1,3,6,4]=>[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,1,4,3,6]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,7,1,4,6,3]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,7,1,6,3,4]=>[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,1,6,4,3]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,3,1,4,6]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,3,1,6,4]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,3,4,1,6]=>[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,7,3,4,6,1]=>[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,7,3,6,1,4]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,3,6,4,1]=>[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,4,1,3,6]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,4,1,6,3]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,4,3,1,6]=>[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,4,3,6,1]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,4,6,1,3]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,4,6,3,1]=>[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,7,6,1,3,4]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,6,1,4,3]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,6,3,1,4]=>[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,6,3,4,1]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,6,4,1,3]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,6,4,3,1]=>[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,2,4,6,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,2,4,7,6]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,2,6,4,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,2,6,7,4]=>[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,2,7,4,6]=>[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,2,7,6,4]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,4,2,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,4,2,7,6]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,4,6,2,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,4,6,7,2]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,4,7,2,6]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,1,4,7,6,2]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,6,2,4,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,6,2,7,4]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,6,4,2,7]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,6,4,7,2]=>[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,6,7,2,4]=>[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,6,7,4,2]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,7,2,4,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,1,7,2,6,4]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,1,7,4,2,6]=>[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,1,7,4,6,2]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,7,6,2,4]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,7,6,4,2]=>[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,1,4,6,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,1,4,7,6]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,1,6,4,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,1,6,7,4]=>[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,1,7,4,6]=>[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,1,7,6,4]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,4,1,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,4,1,7,6]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,4,6,1,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,4,6,7,1]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,4,7,1,6]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,2,4,7,6,1]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,6,1,4,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,6,1,7,4]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,6,4,1,7]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,6,4,7,1]=>[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,6,7,1,4]=>[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,6,7,4,1]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,7,1,4,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,2,7,1,6,4]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,2,7,4,1,6]=>[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,2,7,4,6,1]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,7,6,1,4]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,7,6,4,1]=>[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,1,2,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,1,2,7,6]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,1,6,2,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,1,6,7,2]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,1,7,2,6]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,4,1,7,6,2]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,2,1,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,2,1,7,6]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,2,6,1,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,2,6,7,1]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,2,7,1,6]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,4,2,7,6,1]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,6,1,2,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,6,1,7,2]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,6,2,1,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,6,2,7,1]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,6,7,1,2]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,6,7,2,1]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,7,1,2,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,4,7,1,6,2]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,4,7,2,1,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,4,7,2,6,1]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,4,7,6,1,2]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,7,6,2,1]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,1,2,4,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,1,2,7,4]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,1,4,2,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,1,4,7,2]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,1,7,2,4]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,1,7,4,2]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,2,1,4,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,2,1,7,4]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,2,4,1,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,2,4,7,1]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,2,7,1,4]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,2,7,4,1]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,4,1,2,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,4,1,7,2]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,4,2,1,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,4,2,7,1]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,4,7,1,2]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,4,7,2,1]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,7,1,2,4]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,7,1,4,2]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,7,2,1,4]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,7,2,4,1]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,7,4,1,2]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,7,4,2,1]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,1,2,4,6]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,1,2,6,4]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,1,4,2,6]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,7,1,4,6,2]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,7,1,6,2,4]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,1,6,4,2]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,2,1,4,6]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,2,1,6,4]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,2,4,1,6]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,7,2,4,6,1]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,7,2,6,1,4]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,2,6,4,1]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,4,1,2,6]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,4,1,6,2]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,4,2,1,6]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,4,2,6,1]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,4,6,1,2]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,4,6,2,1]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,6,1,2,4]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,6,1,4,2]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,6,2,1,4]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,6,2,4,1]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,6,4,1,2]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,6,4,2,1]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,2,3,6,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,2,3,7,6]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,2,6,3,7]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,2,6,7,3]=>[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,1,2,7,3,6]=>[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,1,2,7,6,3]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,3,2,6,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,3,2,7,6]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,3,6,2,7]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,3,6,7,2]=>[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,1,3,7,2,6]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,1,3,7,6,2]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,6,2,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,6,2,7,3]=>[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,6,3,2,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,6,3,7,2]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,6,7,2,3]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,6,7,3,2]=>[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,7,2,3,6]=>[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,7,2,6,3]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,7,3,2,6]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,1,7,3,6,2]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,1,7,6,2,3]=>[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,7,6,3,2]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,1,3,6,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,1,3,7,6]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,1,6,3,7]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,1,6,7,3]=>[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,2,1,7,3,6]=>[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,2,1,7,6,3]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,3,1,6,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,3,1,7,6]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,3,6,1,7]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,3,6,7,1]=>[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,2,3,7,1,6]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,2,3,7,6,1]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,6,1,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,6,1,7,3]=>[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,6,3,1,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,6,3,7,1]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,6,7,1,3]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,6,7,3,1]=>[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,7,1,3,6]=>[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,7,1,6,3]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,7,3,1,6]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,2,7,3,6,1]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,2,7,6,1,3]=>[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,7,6,3,1]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,1,2,6,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,1,2,7,6]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,1,6,2,7]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,1,6,7,2]=>[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,3,1,7,2,6]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,3,1,7,6,2]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,2,1,6,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,2,1,7,6]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,2,6,1,7]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,2,6,7,1]=>[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,3,2,7,1,6]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,3,2,7,6,1]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,6,1,2,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,6,1,7,2]=>[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,6,2,1,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,6,2,7,1]=>[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,6,7,1,2]=>[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,6,7,2,1]=>[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,7,1,2,6]=>[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,7,1,6,2]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,7,2,1,6]=>[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,7,2,6,1]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,7,6,1,2]=>[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,7,6,2,1]=>[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,1,2,3,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,1,2,7,3]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,1,3,2,7]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,1,3,7,2]=>[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,1,7,2,3]=>[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,6,1,7,3,2]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,2,1,3,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,2,1,7,3]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,2,3,1,7]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,2,3,7,1]=>[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,2,7,1,3]=>[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,6,2,7,3,1]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,3,1,2,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,3,1,7,2]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,3,2,1,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,3,2,7,1]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,3,7,1,2]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,3,7,2,1]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,7,1,2,3]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,7,1,3,2]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,7,2,1,3]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,7,2,3,1]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,7,3,1,2]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,7,3,2,1]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,1,2,3,6]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,7,1,2,6,3]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,7,1,3,2,6]=>[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,1,3,6,2]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,1,6,2,3]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,1,6,3,2]=>[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,7,2,1,3,6]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,7,2,1,6,3]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,7,2,3,1,6]=>[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,2,3,6,1]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,2,6,1,3]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,2,6,3,1]=>[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,7,3,1,2,6]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,7,3,1,6,2]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,7,3,2,1,6]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,7,3,2,6,1]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,7,3,6,1,2]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,3,6,2,1]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,6,1,2,3]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,6,1,3,2]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,6,2,1,3]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,6,2,3,1]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,6,3,1,2]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,6,3,2,1]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,2,3,4,7]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,2,3,7,4]=>[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,2,4,3,7]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,2,4,7,3]=>[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,2,7,3,4]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,2,7,4,3]=>[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,3,2,4,7]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,3,2,7,4]=>[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,3,4,2,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,3,4,7,2]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,3,7,2,4]=>[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,3,7,4,2]=>[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,4,2,3,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,4,2,7,3]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,4,3,2,7]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,4,3,7,2]=>[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,4,7,2,3]=>[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,4,7,3,2]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,1,7,2,3,4]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,7,2,4,3]=>[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,7,3,2,4]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,7,3,4,2]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,7,4,2,3]=>[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,7,4,3,2]=>[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,1,3,4,7]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,1,3,7,4]=>[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,1,4,3,7]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,1,4,7,3]=>[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,1,7,3,4]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,1,7,4,3]=>[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,3,1,4,7]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,3,1,7,4]=>[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,3,4,1,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,3,4,7,1]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,3,7,1,4]=>[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,3,7,4,1]=>[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,4,1,3,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,4,1,7,3]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,4,3,1,7]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,4,3,7,1]=>[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,4,7,1,3]=>[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,4,7,3,1]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,2,7,1,3,4]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,7,1,4,3]=>[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,7,3,1,4]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,7,3,4,1]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,7,4,1,3]=>[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,7,4,3,1]=>[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,1,2,4,7]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,1,2,7,4]=>[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,1,4,2,7]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,1,4,7,2]=>[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,1,7,2,4]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,1,7,4,2]=>[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,2,1,4,7]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,2,1,7,4]=>[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,2,4,1,7]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,2,4,7,1]=>[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,2,7,1,4]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,2,7,4,1]=>[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,4,1,2,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,4,1,7,2]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,4,2,1,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,4,2,7,1]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,4,7,1,2]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,3,4,7,2,1]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,3,7,1,2,4]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,7,1,4,2]=>[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,7,2,1,4]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,7,2,4,1]=>[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,7,4,1,2]=>[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,7,4,2,1]=>[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,1,2,3,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,1,2,7,3]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,1,3,2,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,1,3,7,2]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,1,7,2,3]=>[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,1,7,3,2]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,4,2,1,3,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,2,1,7,3]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,2,3,1,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,2,3,7,1]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,2,7,1,3]=>[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,2,7,3,1]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,4,3,1,2,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,3,1,7,2]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,3,2,1,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,3,2,7,1]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,3,7,1,2]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,4,3,7,2,1]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,4,7,1,2,3]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,7,1,3,2]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,7,2,1,3]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,7,2,3,1]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,7,3,1,2]=>[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,4,7,3,2,1]=>[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,7,1,2,3,4]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,1,2,4,3]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,1,3,2,4]=>[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,1,3,4,2]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,1,4,2,3]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,1,4,3,2]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,2,1,3,4]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,2,1,4,3]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,2,3,1,4]=>[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,2,3,4,1]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,2,4,1,3]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,2,4,3,1]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,3,1,2,4]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,3,1,4,2]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,3,2,1,4]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,3,2,4,1]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,3,4,1,2]=>[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,7,3,4,2,1]=>[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,7,4,1,2,3]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,4,1,3,2]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,4,2,1,3]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,4,2,3,1]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,4,3,1,2]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,4,3,2,1]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,2,3,4,6]=>[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,2,3,6,4]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,2,4,3,6]=>[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,2,4,6,3]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,2,6,3,4]=>[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,2,6,4,3]=>[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,3,2,4,6]=>[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,3,2,6,4]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,3,4,2,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,3,4,6,2]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,3,6,2,4]=>[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,3,6,4,2]=>[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,4,2,3,6]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,4,2,6,3]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,4,3,2,6]=>[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,4,3,6,2]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,4,6,2,3]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,4,6,3,2]=>[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,6,2,3,4]=>[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,6,2,4,3]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,6,3,2,4]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,6,3,4,2]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,6,4,2,3]=>[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,6,4,3,2]=>[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,1,3,4,6]=>[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,2,1,3,6,4]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,2,1,4,3,6]=>[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,1,4,6,3]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,1,6,3,4]=>[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,1,6,4,3]=>[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,3,1,4,6]=>[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,3,1,6,4]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,3,4,1,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,2,3,4,6,1]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,2,3,6,1,4]=>[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,3,6,4,1]=>[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,4,1,3,6]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,4,1,6,3]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,4,3,1,6]=>[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,2,4,3,6,1]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,2,4,6,1,3]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,4,6,3,1]=>[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,6,1,3,4]=>[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,6,1,4,3]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,6,3,1,4]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,2,6,3,4,1]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,2,6,4,1,3]=>[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,6,4,3,1]=>[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,1,2,4,6]=>[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,1,2,6,4]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,1,4,2,6]=>[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,1,4,6,2]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,1,6,2,4]=>[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,1,6,4,2]=>[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,2,1,4,6]=>[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,2,1,6,4]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,2,4,1,6]=>[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,2,4,6,1]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,2,6,1,4]=>[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,2,6,4,1]=>[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,4,1,2,6]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,4,1,6,2]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,4,2,1,6]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,4,2,6,1]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,4,6,1,2]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,4,6,2,1]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,6,1,2,4]=>[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,6,1,4,2]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,6,2,1,4]=>[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,6,2,4,1]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,6,4,1,2]=>[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,6,4,2,1]=>[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,1,2,3,6]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,1,2,6,3]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,1,3,2,6]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,4,1,3,6,2]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,4,1,6,2,3]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,1,6,3,2]=>[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,2,1,3,6]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,2,1,6,3]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,2,3,1,6]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,4,2,3,6,1]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,4,2,6,1,3]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,2,6,3,1]=>[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,3,1,2,6]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,3,1,6,2]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,3,2,1,6]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,3,2,6,1]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,3,6,1,2]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,3,6,2,1]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,6,1,2,3]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,6,1,3,2]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,6,2,1,3]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,6,2,3,1]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,6,3,1,2]=>[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,6,3,2,1]=>[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,2,3,4]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,2,4,3]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,3,2,4]=>[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,3,4,2]=>[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,4,2,3]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,4,3,2]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,2,1,3,4]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,2,1,4,3]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,2,3,1,4]=>[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,2,3,4,1]=>[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,2,4,1,3]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,2,4,3,1]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,3,1,2,4]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,3,1,4,2]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,3,2,1,4]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,3,2,4,1]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,3,4,1,2]=>[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,3,4,2,1]=>[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,4,1,2,3]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,4,1,3,2]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,4,2,1,3]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,4,2,3,1]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,4,3,1,2]=>[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,4,3,2,1]=>[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,3,4,7,5]=>[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,3,5,4,7]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,3,5,7,4]=>[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,3,7,4,5]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,3,7,5,4]=>[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,4,3,5,7]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,4,3,7,5]=>[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,4,5,3,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,4,5,7,3]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,4,7,3,5]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,4,7,5,3]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,2,5,3,4,7]=>[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,5,3,7,4]=>[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,2,5,4,3,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,5,4,7,3]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,5,7,3,4]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,5,7,4,3]=>[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,7,3,4,5]=>[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,7,3,5,4]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,7,4,3,5]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,7,4,5,3]=>[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,7,5,3,4]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,7,5,4,3]=>[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,2,4,5,7]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,2,4,7,5]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,3,2,5,4,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,2,5,7,4]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,2,7,4,5]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,2,7,5,4]=>[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,4,2,5,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,4,2,7,5]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,4,5,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,4,5,7,2]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,4,7,2,5]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,4,7,5,2]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,3,5,2,4,7]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,5,2,7,4]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,3,5,4,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,5,4,7,2]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,5,7,2,4]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,5,7,4,2]=>[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,7,2,4,5]=>[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,7,2,5,4]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,7,4,2,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,7,4,5,2]=>[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,7,5,2,4]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,7,5,4,2]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,4,2,3,5,7]=>[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,2,3,7,5]=>[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,4,2,5,3,7]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,2,5,7,3]=>[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,2,7,3,5]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,2,7,5,3]=>[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,3,2,5,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,3,2,7,5]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,3,5,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,3,5,7,2]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,3,7,2,5]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,3,7,5,2]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,5,2,7,3]=>[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,5,3,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,5,3,7,2]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,5,7,3,2]=>[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,7,2,3,5]=>[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,7,2,5,3]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,7,3,2,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,7,3,5,2]=>[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,7,5,3,2]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,5,2,3,4,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,2,3,7,4]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,2,4,3,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,2,4,7,3]=>[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,2,7,3,4]=>[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,2,7,4,3]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,3,2,4,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,3,2,7,4]=>[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,3,4,2,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,3,4,7,2]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,3,7,2,4]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,3,7,4,2]=>[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,4,2,3,7]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,4,2,7,3]=>[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,4,3,2,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,4,3,7,2]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,4,7,2,3]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,4,7,3,2]=>[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,7,2,3,4]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,7,2,4,3]=>[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,5,7,3,2,4]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,7,3,4,2]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,5,7,4,2,3]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,7,4,3,2]=>[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,2,3,4,5]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,7,2,3,5,4]=>[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,2,4,3,5]=>[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,2,4,5,3]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,2,5,3,4]=>[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,2,5,4,3]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,7,3,2,4,5]=>[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,3,2,5,4]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,3,4,2,5]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,3,4,5,2]=>[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,3,5,2,4]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,3,5,4,2]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,7,4,2,3,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,4,2,5,3]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,4,3,2,5]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,4,3,5,2]=>[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,4,5,2,3]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,4,5,3,2]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,5,2,3,4]=>[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,5,2,4,3]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,5,3,2,4]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,5,3,4,2]=>[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,5,4,2,3]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,5,4,3,2]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,3,4,5,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,3,4,7,5]=>[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,3,5,4,7]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,3,5,7,4]=>[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,3,7,4,5]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,3,7,5,4]=>[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,4,3,5,7]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,4,3,7,5]=>[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,4,5,3,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,4,5,7,3]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,4,7,3,5]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,4,7,5,3]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,1,5,3,4,7]=>[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,5,3,7,4]=>[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,1,5,4,3,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,5,4,7,3]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,5,7,3,4]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,5,7,4,3]=>[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,7,3,4,5]=>[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,7,3,5,4]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,7,4,3,5]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,7,4,5,3]=>[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,7,5,3,4]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,7,5,4,3]=>[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,1,4,5,7]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,1,4,7,5]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,3,1,5,4,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,1,5,7,4]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,1,7,4,5]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,1,7,5,4]=>[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,4,1,5,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,4,1,7,5]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,4,5,1,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,4,5,7,1]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,4,7,1,5]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,4,7,5,1]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,3,5,1,4,7]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,5,1,7,4]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,3,5,4,1,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,5,4,7,1]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,5,7,1,4]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,5,7,4,1]=>[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,7,1,4,5]=>[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,7,1,5,4]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,7,4,1,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,7,4,5,1]=>[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,7,5,1,4]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,7,5,4,1]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,4,1,3,5,7]=>[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,1,3,7,5]=>[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,4,1,5,3,7]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,1,5,7,3]=>[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,1,7,3,5]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,1,7,5,3]=>[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,3,1,5,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,3,1,7,5]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,3,5,1,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,3,5,7,1]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,3,7,1,5]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,3,7,5,1]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,4,5,1,3,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,5,1,7,3]=>[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,5,3,1,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,5,3,7,1]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,5,7,1,3]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,5,7,3,1]=>[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,7,1,3,5]=>[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,7,1,5,3]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,7,3,1,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,7,3,5,1]=>[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,7,5,1,3]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,7,5,3,1]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,5,1,3,4,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,1,3,7,4]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,1,4,3,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,1,4,7,3]=>[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,1,7,3,4]=>[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,1,7,4,3]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,3,1,4,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,3,1,7,4]=>[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,3,4,1,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,3,4,7,1]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,3,7,1,4]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,3,7,4,1]=>[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,4,1,3,7]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,4,1,7,3]=>[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,4,3,1,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,4,3,7,1]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,4,7,1,3]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,4,7,3,1]=>[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,7,1,3,4]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,7,1,4,3]=>[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,5,7,3,1,4]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,7,3,4,1]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,5,7,4,1,3]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,7,4,3,1]=>[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,1,3,4,5]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,7,1,3,5,4]=>[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,1,4,3,5]=>[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,1,4,5,3]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,1,5,3,4]=>[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,1,5,4,3]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,7,3,1,4,5]=>[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,3,1,5,4]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,3,4,1,5]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,3,4,5,1]=>[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,3,5,1,4]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,3,5,4,1]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,7,4,1,3,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,4,1,5,3]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,4,3,1,5]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,4,3,5,1]=>[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,4,5,1,3]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,4,5,3,1]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,5,1,3,4]=>[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,5,1,4,3]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,5,3,1,4]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,5,3,4,1]=>[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,5,4,1,3]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,5,4,3,1]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,2,4,5,7]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,2,4,7,5]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,1,2,5,4,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,2,5,7,4]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,2,7,4,5]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,2,7,5,4]=>[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,4,2,5,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,4,2,7,5]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,4,5,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,4,5,7,2]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,4,7,2,5]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,4,7,5,2]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,1,5,2,4,7]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,5,2,7,4]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,1,5,4,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,5,4,7,2]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,5,7,2,4]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,5,7,4,2]=>[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,7,2,4,5]=>[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,7,2,5,4]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,7,4,2,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,7,4,5,2]=>[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,7,5,2,4]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,7,5,4,2]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,2,1,4,5,7]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,1,4,7,5]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,2,1,5,4,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,1,5,7,4]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,1,7,4,5]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,1,7,5,4]=>[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,4,1,5,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,4,1,7,5]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,4,5,1,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,4,5,7,1]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,4,7,1,5]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,4,7,5,1]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,2,5,1,4,7]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,5,1,7,4]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,2,5,4,1,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,5,4,7,1]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,5,7,1,4]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,5,7,4,1]=>[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,7,1,4,5]=>[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,7,1,5,4]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,7,4,1,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,7,4,5,1]=>[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,7,5,1,4]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,7,5,4,1]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,4,1,2,5,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,1,2,7,5]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,1,5,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,1,5,7,2]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,1,7,2,5]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,1,7,5,2]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,4,2,1,5,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,2,1,7,5]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,2,5,1,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,2,5,7,1]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,2,7,1,5]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,2,7,5,1]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,4,5,1,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,5,1,7,2]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,5,2,1,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,5,2,7,1]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,5,7,1,2]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,5,7,2,1]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,7,1,2,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,7,1,5,2]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,7,2,1,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,7,2,5,1]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,7,5,1,2]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,7,5,2,1]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,1,2,4,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,1,2,7,4]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,1,4,2,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,1,4,7,2]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,1,7,2,4]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,1,7,4,2]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,2,1,4,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,2,1,7,4]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,2,4,1,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,2,4,7,1]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,2,7,1,4]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,2,7,4,1]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,4,1,2,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,4,1,7,2]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,4,2,1,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,4,2,7,1]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,4,7,1,2]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,4,7,2,1]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,7,1,2,4]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,7,1,4,2]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,5,7,2,1,4]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,7,2,4,1]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,5,7,4,1,2]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,7,4,2,1]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,1,2,4,5]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,7,1,2,5,4]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,1,4,2,5]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,1,4,5,2]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,1,5,2,4]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,1,5,4,2]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,7,2,1,4,5]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,7,2,1,5,4]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,2,4,1,5]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,2,4,5,1]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,2,5,1,4]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,2,5,4,1]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,7,4,1,2,5]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,4,1,5,2]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,4,2,1,5]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,4,2,5,1]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,4,5,1,2]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,4,5,2,1]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,5,1,2,4]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,5,1,4,2]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,5,2,1,4]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,5,2,4,1]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,5,4,1,2]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,5,4,2,1]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,2,3,5,7]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,2,3,7,5]=>[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,2,5,3,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,2,5,7,3]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,2,7,3,5]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,2,7,5,3]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,4,1,3,2,5,7]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,3,2,7,5]=>[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,3,5,2,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,3,5,7,2]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,3,7,2,5]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,3,7,5,2]=>[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,4,1,5,2,3,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,5,2,7,3]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,5,3,2,7]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,5,3,7,2]=>[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,5,7,2,3]=>[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,5,7,3,2]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,7,2,3,5]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,7,2,5,3]=>[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,7,3,2,5]=>[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,7,3,5,2]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,7,5,2,3]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,7,5,3,2]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,1,3,5,7]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,1,3,7,5]=>[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,1,5,3,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,1,5,7,3]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,1,7,3,5]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,1,7,5,3]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,4,2,3,1,5,7]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,3,1,7,5]=>[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,3,5,1,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,3,5,7,1]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,3,7,1,5]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,3,7,5,1]=>[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,4,2,5,1,3,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,5,1,7,3]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,5,3,1,7]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,5,3,7,1]=>[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,5,7,1,3]=>[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,5,7,3,1]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,7,1,3,5]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,7,1,5,3]=>[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,7,3,1,5]=>[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,7,3,5,1]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,7,5,1,3]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,7,5,3,1]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,1,2,5,7]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,1,2,7,5]=>[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,1,5,2,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,1,5,7,2]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,1,7,2,5]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,1,7,5,2]=>[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,4,3,2,1,5,7]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,2,1,7,5]=>[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,2,5,1,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,2,5,7,1]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,2,7,1,5]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,2,7,5,1]=>[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,4,3,5,1,2,7]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,5,1,7,2]=>[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,5,2,1,7]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,5,2,7,1]=>[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,5,7,1,2]=>[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,5,7,2,1]=>[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,7,1,2,5]=>[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,7,1,5,2]=>[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,7,2,1,5]=>[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,7,2,5,1]=>[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,7,5,1,2]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,7,5,2,1]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,1,2,3,7]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,1,2,7,3]=>[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,1,3,2,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,1,3,7,2]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,1,7,2,3]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,1,7,3,2]=>[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,2,1,3,7]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,2,1,7,3]=>[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,2,3,1,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,2,3,7,1]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,2,7,1,3]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,2,7,3,1]=>[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,3,1,2,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,3,1,7,2]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,3,2,1,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,3,2,7,1]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,3,7,1,2]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,3,7,2,1]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,7,1,2,3]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,7,1,3,2]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,7,2,1,3]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,7,2,3,1]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,7,3,1,2]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,7,3,2,1]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,1,2,3,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,1,2,5,3]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,1,3,2,5]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,1,3,5,2]=>[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,1,5,2,3]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,1,5,3,2]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,2,1,3,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,2,1,5,3]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,2,3,1,5]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,2,3,5,1]=>[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,2,5,1,3]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,2,5,3,1]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,3,1,2,5]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,3,1,5,2]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,3,2,1,5]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,3,2,5,1]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,3,5,1,2]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,3,5,2,1]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,5,1,2,3]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,5,1,3,2]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,5,2,1,3]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,5,2,3,1]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,5,3,1,2]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,5,3,2,1]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,2,3,4,7]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,2,3,7,4]=>[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,2,4,3,7]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,2,4,7,3]=>[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,1,2,7,3,4]=>[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,2,7,4,3]=>[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,3,2,4,7]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,3,2,7,4]=>[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,3,4,2,7]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,3,4,7,2]=>[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,3,7,2,4]=>[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,3,7,4,2]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,4,2,3,7]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,4,2,7,3]=>[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,1,4,3,2,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,4,3,7,2]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,4,7,2,3]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,4,7,3,2]=>[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,7,2,3,4]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,7,2,4,3]=>[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,7,3,2,4]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,7,3,4,2]=>[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,1,7,4,2,3]=>[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,7,4,3,2]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,1,3,4,7]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,1,3,7,4]=>[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,1,4,3,7]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,1,4,7,3]=>[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,2,1,7,3,4]=>[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,1,7,4,3]=>[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,3,1,4,7]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,3,1,7,4]=>[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,3,4,1,7]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,3,4,7,1]=>[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,3,7,1,4]=>[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,3,7,4,1]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,4,1,3,7]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,4,1,7,3]=>[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,2,4,3,1,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,4,3,7,1]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,4,7,1,3]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,4,7,3,1]=>[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,7,1,3,4]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,7,1,4,3]=>[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,7,3,1,4]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,7,3,4,1]=>[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,2,7,4,1,3]=>[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,7,4,3,1]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,1,2,4,7]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,1,2,7,4]=>[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,1,4,2,7]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,1,4,7,2]=>[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,1,7,2,4]=>[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,1,7,4,2]=>[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,2,1,4,7]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,2,1,7,4]=>[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,2,4,1,7]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,2,4,7,1]=>[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,2,7,1,4]=>[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,2,7,4,1]=>[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,4,1,2,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,4,1,7,2]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,4,2,1,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,4,2,7,1]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,4,7,1,2]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,4,7,2,1]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,7,1,2,4]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,7,1,4,2]=>[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,3,7,2,1,4]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,7,2,4,1]=>[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,3,7,4,1,2]=>[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,7,4,2,1]=>[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,1,2,3,7]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,1,2,7,3]=>[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,1,3,2,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,1,3,7,2]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,1,7,2,3]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,1,7,3,2]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,2,1,3,7]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,2,1,7,3]=>[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,2,3,1,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,2,3,7,1]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,2,7,1,3]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,2,7,3,1]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,3,1,2,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,3,1,7,2]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,3,2,1,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,3,2,7,1]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,3,7,1,2]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,3,7,2,1]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,7,1,2,3]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,7,1,3,2]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,4,7,2,1,3]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,7,2,3,1]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,4,7,3,1,2]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,7,3,2,1]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,1,2,3,4]=>[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,1,2,4,3]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,1,3,2,4]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,1,3,4,2]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,1,4,2,3]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,1,4,3,2]=>[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,2,1,3,4]=>[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,2,1,4,3]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,2,3,1,4]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,2,3,4,1]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,2,4,1,3]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,2,4,3,1]=>[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,3,1,2,4]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,3,1,4,2]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,7,3,2,1,4]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,3,2,4,1]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,7,3,4,1,2]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,3,4,2,1]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,4,1,2,3]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,4,1,3,2]=>[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,4,2,1,3]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,4,2,3,1]=>[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,4,3,1,2]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,4,3,2,1]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,2,3,4,5]=>[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,2,3,5,4]=>[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,2,4,3,5]=>[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,2,4,5,3]=>[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,2,5,3,4]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,2,5,4,3]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,1,3,2,4,5]=>[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,1,3,2,5,4]=>[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,3,4,2,5]=>[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,3,4,5,2]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,3,5,2,4]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,3,5,4,2]=>[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,1,4,2,3,5]=>[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,4,2,5,3]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,4,3,2,5]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,4,3,5,2]=>[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,4,5,2,3]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,4,5,3,2]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,5,2,3,4]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,5,2,4,3]=>[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,5,3,2,4]=>[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,5,3,4,2]=>[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,5,4,2,3]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,5,4,3,2]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,1,3,4,5]=>[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,1,3,5,4]=>[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,1,4,3,5]=>[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,1,4,5,3]=>[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,1,5,3,4]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,1,5,4,3]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,2,3,1,4,5]=>[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,2,3,1,5,4]=>[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,3,4,1,5]=>[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,3,4,5,1]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,3,5,1,4]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,3,5,4,1]=>[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,2,4,1,3,5]=>[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,4,1,5,3]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,4,3,1,5]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,4,3,5,1]=>[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,4,5,1,3]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,4,5,3,1]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,5,1,3,4]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,5,1,4,3]=>[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,5,3,1,4]=>[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,5,3,4,1]=>[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,5,4,1,3]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,5,4,3,1]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,1,2,4,5]=>[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,1,2,5,4]=>[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,1,4,2,5]=>[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,1,4,5,2]=>[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,1,5,2,4]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,1,5,4,2]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,3,2,1,4,5]=>[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,2,1,5,4]=>[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,2,4,1,5]=>[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,2,4,5,1]=>[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,2,5,1,4]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,2,5,4,1]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,3,4,1,2,5]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,4,1,5,2]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,4,2,1,5]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,4,2,5,1]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,4,5,1,2]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,4,5,2,1]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,5,1,2,4]=>[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,5,1,4,2]=>[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,5,2,1,4]=>[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,5,2,4,1]=>[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,5,4,1,2]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,5,4,2,1]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,1,2,3,5]=>[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,4,1,2,5,3]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,1,3,2,5]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,1,3,5,2]=>[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,1,5,2,3]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,1,5,3,2]=>[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,4,2,1,3,5]=>[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,4,2,1,5,3]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,2,3,1,5]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,2,3,5,1]=>[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,2,5,1,3]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,2,5,3,1]=>[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,4,3,1,2,5]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,3,1,5,2]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,3,2,1,5]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,3,2,5,1]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,3,5,1,2]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,3,5,2,1]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,5,1,2,3]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,5,1,3,2]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,5,2,1,3]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,5,2,3,1]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,5,3,1,2]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,5,3,2,1]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,1,2,3,4]=>[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,1,2,4,3]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,5,1,3,2,4]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,1,3,4,2]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,5,1,4,2,3]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,1,4,3,2]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,2,1,3,4]=>[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,2,1,4,3]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,5,2,3,1,4]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,2,3,4,1]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,5,2,4,1,3]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,2,4,3,1]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,3,1,2,4]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,3,1,4,2]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,3,2,1,4]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,3,2,4,1]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,3,4,1,2]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,3,4,2,1]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,4,1,2,3]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,4,1,3,2]=>[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,4,2,1,3]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,4,2,3,1]=>[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,4,3,1,2]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,4,3,2,1]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,2,3,4,6,5]=>[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,3,5,4,6]=>[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,3,5,6,4]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,3,6,4,5]=>[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,3,6,5,4]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,4,3,5,6]=>[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,4,3,6,5]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,4,5,3,6]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,4,5,6,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,4,6,3,5]=>[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,4,6,5,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,5,3,4,6]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,5,3,6,4]=>[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,5,4,3,6]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,5,4,6,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,5,6,3,4]=>[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,5,6,4,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,6,3,4,5]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,6,3,5,4]=>[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,6,4,3,5]=>[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,6,4,5,3]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,6,5,3,4]=>[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,6,5,4,3]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,2,4,5,6]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,2,4,6,5]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,2,5,4,6]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,2,5,6,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,2,6,4,5]=>[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,3,2,6,5,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,4,2,5,6]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,4,2,6,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,4,5,2,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,4,6,2,5]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,4,6,5,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,5,2,4,6]=>[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,3,5,2,6,4]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,5,4,2,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,5,4,6,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,5,6,2,4]=>[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,5,6,4,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,6,2,4,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,6,2,5,4]=>[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,6,4,2,5]=>[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,6,4,5,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,6,5,2,4]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,6,5,4,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,2,3,5,6]=>[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,2,3,6,5]=>[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,2,5,3,6]=>[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,2,5,6,3]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,2,6,3,5]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,4,2,6,5,3]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,3,2,5,6]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,3,2,6,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,3,5,2,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,3,5,6,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,3,6,2,5]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,3,6,5,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,5,2,3,6]=>[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,5,2,6,3]=>[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,5,3,2,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,5,3,6,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,5,6,2,3]=>[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,6,2,3,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,6,2,5,3]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,6,3,2,5]=>[1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,6,3,5,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,6,5,2,3]=>[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,2,3,4,6]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,2,3,6,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,2,4,3,6]=>[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,2,4,6,3]=>[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,2,6,3,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,2,6,4,3]=>[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,3,2,4,6]=>[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,3,2,6,4]=>[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,3,4,2,6]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,3,4,6,2]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,3,6,2,4]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,3,6,4,2]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,4,2,3,6]=>[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,4,2,6,3]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,4,3,2,6]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,4,3,6,2]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,4,6,2,3]=>[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,4,6,3,2]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,6,2,3,4]=>[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,6,2,4,3]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,6,3,2,4]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,6,3,4,2]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,6,4,2,3]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,6,4,3,2]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,2,3,4,5]=>[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,2,3,5,4]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,6,2,4,3,5]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,2,4,5,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,2,5,3,4]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,6,2,5,4,3]=>[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,3,2,4,5]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,3,2,5,4]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,6,3,4,2,5]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,3,4,5,2]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,3,5,2,4]=>[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,3,5,4,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,4,2,3,5]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,4,2,5,3]=>[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,4,3,2,5]=>[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,6,4,3,5,2]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,4,5,2,3]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,4,5,3,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,5,2,3,4]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,5,2,4,3]=>[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,5,3,2,4]=>[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,5,3,4,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,5,4,2,3]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,5,4,3,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,1,3,4,6,5]=>[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,3,5,4,6]=>[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,3,5,6,4]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,3,6,4,5]=>[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,3,6,5,4]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,4,3,5,6]=>[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,4,3,6,5]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,4,5,3,6]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,4,5,6,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,4,6,3,5]=>[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,4,6,5,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,5,3,4,6]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,5,3,6,4]=>[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,5,4,3,6]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,5,4,6,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,5,6,3,4]=>[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,5,6,4,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,6,3,4,5]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,6,3,5,4]=>[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,6,4,3,5]=>[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,6,4,5,3]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,6,5,3,4]=>[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,6,5,4,3]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,1,4,5,6]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,1,4,6,5]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,1,5,4,6]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,1,5,6,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,1,6,4,5]=>[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,3,1,6,5,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,4,1,5,6]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,4,1,6,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,4,5,1,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,4,5,6,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,4,6,1,5]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,4,6,5,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,5,1,4,6]=>[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,3,5,1,6,4]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,5,4,1,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,5,4,6,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,5,6,1,4]=>[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,5,6,4,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,6,1,4,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,6,1,5,4]=>[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,6,4,1,5]=>[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,6,4,5,1]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,6,5,1,4]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,6,5,4,1]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,1,3,5,6]=>[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,1,3,6,5]=>[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,1,5,3,6]=>[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,1,5,6,3]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,1,6,3,5]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,4,1,6,5,3]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,3,1,5,6]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,3,1,6,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,3,5,1,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,3,5,6,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,3,6,1,5]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,3,6,5,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,5,1,3,6]=>[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,5,1,6,3]=>[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,5,3,1,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,5,3,6,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,5,6,1,3]=>[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,5,6,3,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,6,1,3,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,6,1,5,3]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,6,3,1,5]=>[1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,6,3,5,1]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,6,5,1,3]=>[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,6,5,3,1]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,1,3,4,6]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,1,3,6,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,1,4,3,6]=>[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,1,4,6,3]=>[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,1,6,3,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,1,6,4,3]=>[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,3,1,4,6]=>[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,3,1,6,4]=>[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,3,4,1,6]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,3,4,6,1]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,3,6,1,4]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,3,6,4,1]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,4,1,3,6]=>[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,4,1,6,3]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,4,3,1,6]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,4,3,6,1]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,4,6,1,3]=>[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,4,6,3,1]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,6,1,3,4]=>[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,6,1,4,3]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,6,3,1,4]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,6,3,4,1]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,6,4,1,3]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,6,4,3,1]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,1,3,4,5]=>[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,1,3,5,4]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,6,1,4,3,5]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,1,4,5,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,1,5,3,4]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,6,1,5,4,3]=>[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,3,1,4,5]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,3,1,5,4]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,6,3,4,1,5]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,3,4,5,1]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,3,5,1,4]=>[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,3,5,4,1]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,4,1,3,5]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,4,1,5,3]=>[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,4,3,1,5]=>[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,6,4,3,5,1]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,4,5,1,3]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,4,5,3,1]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,5,1,3,4]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,5,1,4,3]=>[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,5,3,1,4]=>[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,5,3,4,1]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,5,4,1,3]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,5,4,3,1]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,2,4,5,6]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,2,4,6,5]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,2,5,4,6]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,2,5,6,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,2,6,4,5]=>[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,1,2,6,5,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,4,2,5,6]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,4,2,6,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,4,5,2,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,4,5,6,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,4,6,2,5]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,4,6,5,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,5,2,4,6]=>[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,1,5,2,6,4]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,5,4,2,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,5,4,6,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,5,6,2,4]=>[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,5,6,4,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,6,2,4,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,6,2,5,4]=>[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,6,4,2,5]=>[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,6,4,5,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,6,5,2,4]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,6,5,4,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,1,4,5,6]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,1,4,6,5]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,1,5,4,6]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,1,5,6,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,1,6,4,5]=>[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,2,1,6,5,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,4,1,5,6]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,4,1,6,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,4,5,1,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,4,5,6,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,4,6,1,5]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,4,6,5,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,5,1,4,6]=>[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,2,5,1,6,4]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,5,4,1,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,5,4,6,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,5,6,1,4]=>[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,5,6,4,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,6,1,4,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,6,1,5,4]=>[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,6,4,1,5]=>[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,6,4,5,1]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,6,5,1,4]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,6,5,4,1]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,1,2,5,6]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,1,2,6,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,1,5,2,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,1,5,6,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,1,6,2,5]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,1,6,5,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,2,1,5,6]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,2,1,6,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,2,5,1,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,2,5,6,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,2,6,1,5]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,2,6,5,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,5,1,2,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,5,1,6,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,5,2,1,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,5,2,6,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,5,6,1,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,5,6,2,1]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,6,1,2,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,6,1,5,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,6,2,1,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,6,2,5,1]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,6,5,1,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,6,5,2,1]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,1,2,4,6]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,1,2,6,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,1,4,2,6]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,1,4,6,2]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,1,6,2,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,1,6,4,2]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,2,1,4,6]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,2,1,6,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,2,4,1,6]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,2,4,6,1]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,2,6,1,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,2,6,4,1]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,4,1,2,6]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,4,1,6,2]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,4,2,1,6]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,4,2,6,1]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,4,6,1,2]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,4,6,2,1]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,6,1,2,4]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,6,1,4,2]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,6,2,1,4]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,6,2,4,1]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,6,4,1,2]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,6,4,2,1]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,1,2,4,5]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,1,2,5,4]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,6,1,4,2,5]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,1,4,5,2]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,1,5,2,4]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,6,1,5,4,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,2,1,4,5]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,2,1,5,4]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,6,2,4,1,5]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,2,4,5,1]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,2,5,1,4]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,6,2,5,4,1]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,4,1,2,5]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,4,1,5,2]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,4,2,1,5]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,4,2,5,1]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,4,5,1,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,4,5,2,1]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,5,1,2,4]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,5,1,4,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,5,2,1,4]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,5,2,4,1]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,5,4,1,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,5,4,2,1]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,2,3,5,6]=>[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,2,3,6,5]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,2,5,3,6]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,2,5,6,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,2,6,3,5]=>[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,2,6,5,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,3,2,5,6]=>[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,3,2,6,5]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,3,5,2,6]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,3,5,6,2]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,3,6,2,5]=>[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,3,6,5,2]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,5,2,3,6]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,5,2,6,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,5,3,2,6]=>[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,5,3,6,2]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,5,6,2,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,5,6,3,2]=>[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,6,2,3,5]=>[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,6,2,5,3]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,6,3,2,5]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,6,3,5,2]=>[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,6,5,2,3]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,6,5,3,2]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,1,3,5,6]=>[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,1,3,6,5]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,1,5,3,6]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,1,5,6,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,1,6,3,5]=>[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,1,6,5,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,3,1,5,6]=>[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,3,1,6,5]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,3,5,1,6]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,3,5,6,1]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,3,6,1,5]=>[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,3,6,5,1]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,5,1,3,6]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,5,1,6,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,5,3,1,6]=>[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,5,3,6,1]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,5,6,1,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,5,6,3,1]=>[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,6,1,3,5]=>[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,6,1,5,3]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,6,3,1,5]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,6,3,5,1]=>[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,6,5,1,3]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,6,5,3,1]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,1,2,5,6]=>[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,1,2,6,5]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,1,5,2,6]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,1,5,6,2]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,1,6,2,5]=>[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,1,6,5,2]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,2,1,5,6]=>[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,2,1,6,5]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,2,5,1,6]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,2,5,6,1]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,2,6,1,5]=>[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,2,6,5,1]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,5,1,2,6]=>[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,5,1,6,2]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,5,2,1,6]=>[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,5,2,6,1]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,5,6,1,2]=>[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,5,6,2,1]=>[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,6,1,2,5]=>[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,6,1,5,2]=>[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,6,2,1,5]=>[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,6,2,5,1]=>[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,6,5,1,2]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,6,5,2,1]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,1,2,3,6]=>[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,1,2,6,3]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,1,3,2,6]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,1,3,6,2]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,1,6,2,3]=>[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,1,6,3,2]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,2,1,3,6]=>[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,2,1,6,3]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,2,3,1,6]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,2,3,6,1]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,2,6,1,3]=>[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,2,6,3,1]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,3,1,2,6]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,3,1,6,2]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,3,2,1,6]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,3,2,6,1]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,3,6,1,2]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,3,6,2,1]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,6,1,2,3]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,6,1,3,2]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,6,2,1,3]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,6,2,3,1]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,6,3,1,2]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,6,3,2,1]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,1,2,3,5]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,1,2,5,3]=>[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,1,3,2,5]=>[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,6,1,3,5,2]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,1,5,2,3]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,1,5,3,2]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,2,1,3,5]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,2,1,5,3]=>[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,2,3,1,5]=>[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,6,2,3,5,1]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,2,5,1,3]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,2,5,3,1]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,3,1,2,5]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,3,1,5,2]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,3,2,1,5]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,3,2,5,1]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,3,5,1,2]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,3,5,2,1]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,5,1,2,3]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,5,1,3,2]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,5,2,1,3]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,5,2,3,1]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,5,3,1,2]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,5,3,2,1]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,2,3,4,6]=>[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,2,3,6,4]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,2,4,3,6]=>[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,1,2,4,6,3]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,2,6,3,4]=>[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,2,6,4,3]=>[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,1,3,2,4,6]=>[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,3,2,6,4]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,3,4,2,6]=>[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,3,4,6,2]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,3,6,2,4]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,3,6,4,2]=>[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,4,2,3,6]=>[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,1,4,2,6,3]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,4,3,2,6]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,4,3,6,2]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,4,6,2,3]=>[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,1,4,6,3,2]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,6,2,3,4]=>[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,6,2,4,3]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,6,3,2,4]=>[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,1,6,3,4,2]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,6,4,2,3]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,6,4,3,2]=>[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,1,3,4,6]=>[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,1,3,6,4]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,1,4,3,6]=>[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,2,1,4,6,3]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,1,6,3,4]=>[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,1,6,4,3]=>[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,2,3,1,4,6]=>[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,3,1,6,4]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,3,4,1,6]=>[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,3,4,6,1]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,3,6,1,4]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,3,6,4,1]=>[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,4,1,3,6]=>[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,2,4,1,6,3]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,4,3,1,6]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,4,3,6,1]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,4,6,1,3]=>[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,2,4,6,3,1]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,6,1,3,4]=>[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,6,1,4,3]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,6,3,1,4]=>[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,2,6,3,4,1]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,6,4,1,3]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,6,4,3,1]=>[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,1,2,4,6]=>[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,1,2,6,4]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,1,4,2,6]=>[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,1,4,6,2]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,1,6,2,4]=>[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,1,6,4,2]=>[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,2,1,4,6]=>[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,2,1,6,4]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,2,4,1,6]=>[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,2,4,6,1]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,2,6,1,4]=>[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,2,6,4,1]=>[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,4,1,2,6]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,4,1,6,2]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,4,2,1,6]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,4,2,6,1]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,4,6,1,2]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,4,6,2,1]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,6,1,2,4]=>[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,3,6,1,4,2]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,6,2,1,4]=>[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,3,6,2,4,1]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,6,4,1,2]=>[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,6,4,2,1]=>[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,1,2,3,6]=>[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,1,2,6,3]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,1,3,2,6]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,1,3,6,2]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,1,6,2,3]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,1,6,3,2]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,2,1,3,6]=>[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,2,1,6,3]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,2,3,1,6]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,2,3,6,1]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,2,6,1,3]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,2,6,3,1]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,3,1,2,6]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,3,1,6,2]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,3,2,1,6]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,3,2,6,1]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,3,6,1,2]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,3,6,2,1]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,6,1,2,3]=>[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,6,1,3,2]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,6,2,1,3]=>[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,6,2,3,1]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,6,3,1,2]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,6,3,2,1]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,1,2,3,4]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,1,2,4,3]=>[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,1,3,2,4]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,1,3,4,2]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,1,4,2,3]=>[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,1,4,3,2]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,2,1,3,4]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,2,1,4,3]=>[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,2,3,1,4]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,2,3,4,1]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,2,4,1,3]=>[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,2,4,3,1]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,3,1,2,4]=>[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,3,1,4,2]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,3,2,1,4]=>[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,3,2,4,1]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,3,4,1,2]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,3,4,2,1]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,4,1,2,3]=>[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,4,1,3,2]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,4,2,1,3]=>[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,4,2,3,1]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,4,3,1,2]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,4,3,2,1]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,2,3,4,5]=>[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,2,3,5,4]=>[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,2,4,3,5]=>[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,2,4,5,3]=>[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,2,5,3,4]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,2,5,4,3]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,3,2,4,5]=>[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,3,2,5,4]=>[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,3,4,2,5]=>[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,3,4,5,2]=>[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,3,5,2,4]=>[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,3,5,4,2]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,4,2,3,5]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,4,2,5,3]=>[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,4,3,2,5]=>[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,4,3,5,2]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,4,5,2,3]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,4,5,3,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,5,2,3,4]=>[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,5,2,4,3]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,5,3,2,4]=>[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,5,3,4,2]=>[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,5,4,2,3]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,5,4,3,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,1,3,4,5]=>[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,1,3,5,4]=>[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,1,4,3,5]=>[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,1,4,5,3]=>[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,2,1,5,3,4]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,1,5,4,3]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,2,3,1,4,5]=>[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,3,1,5,4]=>[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,2,3,4,1,5]=>[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,3,4,5,1]=>[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,3,5,1,4]=>[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,2,3,5,4,1]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,4,1,3,5]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,4,1,5,3]=>[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,2,4,3,1,5]=>[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,4,3,5,1]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,4,5,1,3]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,2,4,5,3,1]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,5,1,3,4]=>[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,5,1,4,3]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,2,5,3,1,4]=>[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,5,3,4,1]=>[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,5,4,1,3]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,2,5,4,3,1]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,1,2,4,5]=>[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,1,2,5,4]=>[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,1,4,2,5]=>[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,1,4,5,2]=>[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,1,5,2,4]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,1,5,4,2]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,2,1,4,5]=>[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,2,1,5,4]=>[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,2,4,1,5]=>[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,2,4,5,1]=>[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,2,5,1,4]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,2,5,4,1]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,4,1,2,5]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,4,1,5,2]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,4,2,1,5]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,4,2,5,1]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,4,5,1,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,4,5,2,1]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,5,1,2,4]=>[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,5,1,4,2]=>[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,5,2,1,4]=>[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,5,2,4,1]=>[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,5,4,1,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,5,4,2,1]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,1,2,3,5]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,1,2,5,3]=>[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,4,1,3,2,5]=>[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,1,3,5,2]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,1,5,2,3]=>[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,4,1,5,3,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,2,1,3,5]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,2,1,5,3]=>[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,4,2,3,1,5]=>[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,2,3,5,1]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,2,5,1,3]=>[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,4,2,5,3,1]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,3,1,2,5]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,3,1,5,2]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,3,2,1,5]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,3,2,5,1]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,3,5,1,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,3,5,2,1]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,5,1,2,3]=>[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,5,1,3,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,5,2,1,3]=>[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,5,2,3,1]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,5,3,1,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,5,3,2,1]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,1,2,3,4]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,1,2,4,3]=>[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,1,3,2,4]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,1,3,4,2]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,1,4,2,3]=>[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,1,4,3,2]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,2,1,3,4]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,2,1,4,3]=>[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,2,3,1,4]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,2,3,4,1]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,2,4,1,3]=>[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,2,4,3,1]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,3,1,2,4]=>[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,3,1,4,2]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,3,2,1,4]=>[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,3,2,4,1]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,3,4,1,2]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,3,4,2,1]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,4,1,2,3]=>[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,4,1,3,2]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,4,2,1,3]=>[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,4,2,3,1]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,4,3,1,2]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,4,3,2,1]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[8,7,6,5,4,3,2,1]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,6,4,3,2,1]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,5,7,4,3,2,1]=>[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,8,4,3,2,1]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,4,5,3,2,1]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,4,6,3,2,1]=>[1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,3,4,2,1]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,6,3,4,2,1]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,4,3,5,2,1]=>[1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,3,4,5,2,1]=>[1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,8,3,4,5,2,1]=>[1,6,5,4,3,8,2,7]=>[7,2,8,3,4,5,6,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,7,5,4,3,6,2,1]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,4,2,3,1]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,4,5,2,3,1]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,4,6,2,3,1]=>[1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,3,2,4,1]=>[1,8,2,7,4,5,3,6]=>[6,3,5,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,5,7,3,2,4,1]=>[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,2,3,4,1]=>[1,8,2,7,4,5,3,6]=>[6,3,5,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,5,7,2,3,4,1]=>[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,8,3,2,4,5,1]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[8,6,5,4,3,2,7,1]=>[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,3,2,4,5,8,1]=>[1,6,5,4,2,7,8,3]=>[3,8,7,2,4,5,6,1]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,4,3,1,2]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,6,4,3,1,2]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,8,4,3,1,2]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,4,6,3,1,2]=>[1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,3,4,1,2]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,6,3,4,1,2]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,3,4,5,1,2]=>[1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,8,4,2,1,3]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,7,8,4,2,1,3]=>[1,5,4,8,3,7,2,6]=>[6,2,7,3,8,4,5,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,8,4,1,2,3]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,7,8,4,1,2,3]=>[1,5,4,8,3,7,2,6]=>[6,2,7,3,8,4,5,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,8,3,2,1,4]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,8,2,3,1,4]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,8,3,1,2,4]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,3,4,2,1,5]=>[1,8,5,4,3,6,2,7]=>[7,2,6,3,4,5,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,3,4,1,2,5]=>[1,8,5,4,3,6,2,7]=>[7,2,6,3,4,5,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,4,3,2,1,8]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,3,4,2,1,8]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,7,3,4,2,1,8]=>[1,5,4,3,7,2,6,8]=>[8,6,2,7,3,4,5,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,2,3,5,1,6,8]=>[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,2,3,4,1,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,1,3,4,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,2,3,4,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,7,6,4,3,2,1]=>[1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,4,1,6,3,8,5,7]=>[1,2,4,6,8,7,5,3]=>[3,5,7,8,6,4,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,4,8,3,5,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,4,1,8,3,5,6,7]=>[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,6,1,3,4,5,8,7]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,7,3,4,5,8,6]=>[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,7,1,4,5,8,6]=>[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,3,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,3,8,4,5,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,1,8,4,5,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,8,1,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,4,8,1,5,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,4,8,2,5,6,7]=>[1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,4,1,8,2,5,6,7]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,5,1,6,8,2,4,7]=>[1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,5,2,7,4,8,6]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,5,2,7,4,6,8]=>[1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,6,2,4,5,8,7]=>[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,6,2,4,5,7,8]=>[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,7,2,4,5,8,6]=>[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,2,8,4,5,6,7]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,2,8,4,5,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,8,2,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,4,8,2,5,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,5,1,2,8,3,6,7]=>[1,4,2,5,8,7,6,3]=>[3,6,7,8,5,2,4,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,2,6,3,8,5,7]=>[1,4,6,8,7,5,3,2]=>[2,3,5,7,8,6,4,1]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,4,2,6,3,8,5,7]=>[1,2,4,6,8,7,5,3]=>[3,5,7,8,6,4,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,1,2,3,5,6,7]=>[1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,1,2,8,3,5,6,7]=>[1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,4,2,8,3,5,6,7]=>[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,4,8,2,3,5,6,7]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,4,8,3,5,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,6,2,3,4,5,8,7]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,6,2,3,4,5,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,7,3,4,5,8,6]=>[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,3,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,3,8,4,5,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,7,3,1,4,2]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,7,6,1,8,3,2,5]=>[1,4,2,7,3,6,5,8]=>[8,5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,6,8,1,7,2,5,3]=>[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,6,1,4,5,7,8]=>[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,7,1,2,3,5,6]=>[1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,2,5,1,3,6,8]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,6,3,5,8,1,2,7]=>[1,4,5,8,7,2,6,3]=>[3,6,2,7,8,5,4,1]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,3,2,7,1,4,5]=>[1,8,5,7,4,2,6,3]=>[3,6,2,4,7,5,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,3,7,4,5,6]=>[1,8,6,4,3,2,5,7]=>[7,5,2,3,4,6,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,6,3,7,4,5]=>[1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,1,3,7,4,5,6]=>[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,6,5,1,3,4,7]=>[1,2,8,7,4,5,3,6]=>[6,3,5,4,7,8,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,6,7,4,5,1,8]=>[1,3,6,5,4,7,2,8]=>[8,2,7,4,5,6,3,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,6,7,4,5,3,2]=>[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,6,7,4,5,2,3]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,7,3,8,4,6,2]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,3,1,8,2,6,5]=>[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,5,1,7,4,8,6]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,6,1,7,5,8,4]=>[1,3,6,5,7,8,4,2]=>[2,4,8,7,5,6,3,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,6,2,7,5,8,4]=>[1,3,6,5,7,8,4,2]=>[2,4,8,7,5,6,3,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,7,2,1,3,6,4]=>[1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,7,3,6,2,5,4,1]=>[1,8,2,7,4,6,5,3]=>[3,5,6,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,3,5,6,7,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,2,3,4,1,6,5]=>[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,6,2,5,1,7,4,3]=>[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,8,2,3,5,1,6,7]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[5,2,8,7,1,6,4,3]=>[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,8,1,2,5,4,6,3]=>[1,7,6,4,2,8,3,5]=>[5,3,8,2,4,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,8,2,5,3,6,4,7]=>[1,2,8,7,4,5,3,6]=>[6,3,5,4,7,8,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,6,1,4,5,3]=>[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,6,8,4,3,5,2]=>[1,7,5,4,8,2,3,6]=>[6,3,2,8,4,5,7,1]=>([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[7,2,1,4,3,6,5,8]=>[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,3,2,5,4,7,6]=>[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,5,2,4,8,6,1,7]=>[1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,1,2,3,8,5,6]=>[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,6,4,8,2,5,3]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[2,1,8,4,7,3,6,5]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,8,6,7,5,3,2]=>[1,4,6,5,7,3,8,2]=>[2,8,3,7,5,6,4,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,2,7,3,8,6,5]=>[1,4,7,6,8,5,3,2]=>[2,3,5,8,6,7,4,1]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,5,4,3,1,7,2]=>[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,4,1,6,3,2]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,4,2,1,7,3]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,1,5,4,3,2]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,1,2,5,3,7,4]=>[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,3,7,4,2,8,5,1]=>[1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,2,6,4,3,1]=>[1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,1,6,2,5,4,3]=>[1,8,3,2,7,4,6,5]=>[5,6,4,7,2,3,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[2,3,8,7,4,5,6,1]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,7,2,5,4,3,1]=>[1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]=>([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,4,8,3,5,1,2]=>[1,6,5,3,4,8,2,7]=>[7,2,8,4,3,5,6,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,6,3,8,2,5,1,7]=>[1,4,8,7,2,6,5,3]=>[3,5,6,2,7,8,4,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,6,8,1,7,3,2,5]=>[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,7,6,2,8,1,3,5]=>[1,4,2,7,3,6,5,8]=>[8,5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,5,7,4,1,3,2]=>[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,8,3,4,5,7,2]=>[1,6,5,4,3,8,2,7]=>[7,2,8,3,4,5,6,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,2,7,4,1,3,5,6]=>[1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,4,3,5,6,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,7,5,4,3,6,2]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,6,7,8,4,1,3]=>[1,5,8,3,6,4,7,2]=>[2,7,4,6,3,8,5,1]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,6,7,4,5,2,3]=>[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,8,6,7,4,5,1,2]=>[1,3,6,5,4,7,2,8]=>[8,2,7,4,5,6,3,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,6,7,4,5,1,3]=>[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,8,1,4,3,2,5]=>[1,6,3,8,5,4,2,7]=>[7,2,4,5,8,3,6,1]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,3,8,7,1,2,6,4]=>[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,1,4,3,2,8]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,1,6,3,4,7,2]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,1,6,3,8,5,7]=>[1,4,6,8,7,5,3,2]=>[2,3,5,7,8,6,4,1]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,6,4,3,5,7]=>[1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,6,3,4,2,7,5]=>[1,8,5,4,3,6,2,7]=>[7,2,6,3,4,5,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,3,7,4,6,5]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,5,2,4,3,7,6]=>[1,8,6,3,5,4,2,7]=>[7,2,4,5,3,6,8,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,5,7,2,4,1,6]=>[1,8,6,4,7,2,3,5]=>[5,3,2,7,4,6,8,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,7,2,6,1,5,4,3]=>[1,8,3,2,7,4,6,5]=>[5,6,4,7,2,3,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,6,8,2,7,1,5,3]=>[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,5,8,7,1,3,6,4]=>[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,3,8,7,2,1,6,4]=>[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,5,8,6,4,3,2,1]=>[1,7,2,5,4,6,3,8]=>[8,3,6,4,5,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,5,3,6,4,1,2,8]=>[1,7,2,5,4,6,3,8]=>[8,3,6,4,5,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,5,1,7,3,2,4]=>[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,7,2,5,4,6,3]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,2,5,8,3,6,4]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,5,1,4,8,6,2,7]=>[1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,1,6,3,7,2,4]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,4,1,2,7,3]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,3,8,4,5,1,2]=>[1,6,5,4,8,2,7,3]=>[3,7,2,8,4,5,6,1]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,1,8,2,7,5,4,6]=>[1,3,8,6,5,7,4,2]=>[2,4,7,5,6,8,3,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,4,3,7,5,6]=>[1,2,3,8,6,7,5,4]=>[4,5,7,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,3,7,8,5,1,6,2]=>[1,4,8,2,3,7,6,5]=>[5,6,7,3,2,8,4,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)=>[8]
[4,5,3,2,8,1,6,7]=>[1,4,2,5,8,7,6,3]=>[3,6,7,8,5,2,4,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,1,5,3,2,6,8]=>[1,7,6,2,4,5,3,8]=>[8,3,5,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,7,2,4,5,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,7,3,1,4,6,2]=>[1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,2,1,3,7,6,5]=>[1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,3,5,4,6,7]=>[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,7,4,6,1,5,2]=>[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,1,6,4,5,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,1,5,2,7,4,3]=>[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[2,1,8,4,5,3,6,7]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,8,3,1,5,4,6,2]=>[1,7,6,4,2,8,3,5]=>[5,3,8,2,4,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,5,2,6,8,4,1,7]=>[1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,6,2,8,3,5,1,7]=>[1,4,8,7,2,6,5,3]=>[3,5,6,2,7,8,4,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,8,2,3,1,5,6,7]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[6,7,2,8,4,5,3,1]=>[1,6,5,4,8,2,7,3]=>[3,7,2,8,4,5,6,1]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[7,1,2,3,8,5,6,4]=>[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,2,8,4,5,6,3]=>[1,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,1]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,6,3,4,5,1]=>[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,4,3,1,7,2]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,3,8,5,4,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,5,4,3,6,7]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,7,6,4,3,2,1]=>[1,8,2,5,4,6,3,7]=>[7,3,6,4,5,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,3,5,4,2,1]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,2,5,4,3,1]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,7,2,6,4,5,3]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,7,1,6,4,5,2]=>[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,7,2,6,4,5,1]=>[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,3,6,4,5,1]=>[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,7,3,6,4,5,2]=>[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,7,4,6,3,5,2]=>[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,4,6,3,5,1]=>[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,7,4,6,2,5,1]=>[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,7,6,4,2,3,1]=>[1,8,2,5,4,6,3,7]=>[7,3,6,4,5,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,4,1,3,2]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,7,6,4,1,3,2]=>[1,8,2,5,4,6,3,7]=>[7,3,6,4,5,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,4,5,1,3,2]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,3,6,4,5,7]=>[1,2,3,8,7,5,6,4]=>[4,6,5,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,4,8,5,1,6,2]=>[1,3,4,8,2,7,6,5]=>[5,6,7,2,8,4,3,1]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,7,1,2,4,3]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,5,8,2,6,1,4]=>[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,1,3,5,6,7,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,5,4,3,6,7]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,3,7,5,4,6]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,3,5,4,6,7]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,3,2,5,4,7,1]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,8,2,4,3,7,5]=>[1,6,3,8,5,4,2,7]=>[7,2,4,5,8,3,6,1]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,6,8,2,7,1,3,5]=>[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,1,3,5,2,6,8]=>[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,8,2,4,1,3,7]=>[1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,3,6,1,7,5,2]=>[1,8,2,4,6,7,5,3]=>[3,5,7,6,4,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,8,5,6,4,1,3,2]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,8,7,6,4,3,2]=>[1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,7,4,3,2,1]=>[1,6,3,5,4,7,2,8]=>[8,2,7,4,5,3,6,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,3,6,5,7,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,7,3,6,5,1,2]=>[1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,4,2,3,5,8,7]=>[1,6,5,3,4,2,7,8]=>[8,7,2,4,3,5,6,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,3,6,4,5,7]=>[1,2,3,8,7,5,6,4]=>[4,6,5,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,8,7,4,2,3,5]=>[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,1,3,6,5,7,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,4,8,3,5,7,2]=>[1,6,5,3,4,8,2,7]=>[7,2,8,4,3,5,6,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[2,1,8,4,3,5,7,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,6,4,3,5,7,2]=>[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,1,4,3,2]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,1,2,7,4,3,5]=>[1,8,5,7,3,2,6,4]=>[4,6,2,3,7,5,8,1]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,4,8,7,1,5,6,2]=>[1,3,8,2,4,7,6,5]=>[5,6,7,4,2,8,3,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,5,8,1,4,2,6]=>[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,3,7,2,4,8,5,1]=>[1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,6,3,1,4,5,8,7]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,1,4,6,5,3]=>[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,2,5,3,1,7,4]=>[1,8,4,5,3,2,6,7]=>[7,6,2,3,5,4,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,3,7,5,4,6]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,7,5,1,6,3,2]=>[1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,1,3,2,4,7,6]=>[1,8,6,4,3,2,5,7]=>[7,5,2,3,4,6,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,2,7,8,4,5,1,3]=>[1,6,5,4,8,3,7,2]=>[2,7,3,8,4,5,6,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,8,4,7,2,5,6,1]=>[1,3,4,7,6,5,2,8]=>[8,2,5,6,7,4,3,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,7,2,4,5,6,3]=>[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,5,1,8,4,6,2]=>[1,3,5,8,2,7,6,4]=>[4,6,7,2,8,5,3,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,7,4,2,5,6,1]=>[1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,5,7,3,8,4,6,1]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,6,7,1,5,4,2]=>[1,8,2,3,6,5,4,7]=>[7,4,5,6,3,2,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,8,1,4,3,2,7]=>[1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,3,6,4,2,1]=>[1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,2,7,3,8,4,1,5]=>[1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,3,6,2,4,1]=>[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,5,3,8,2,6,1]=>[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,8,3,5,2,4,1]=>[1,7,4,3,8,2,6,5]=>[5,6,2,8,3,4,7,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[4,8,7,3,6,2,1,5]=>[1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,2,4,1,7,3]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,1,3,5,4,7,6]=>[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,7,2,6,4,3]=>[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,5,8,7,3,6,1,4]=>[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,7,3,2,6,4]=>[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,6,7,3,4,5,8,2]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,3,7,8,1,2,4]=>[1,5,8,4,7,2,6,3]=>[3,6,2,7,4,8,5,1]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,5,3,7,1,8,2,4]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,7,5,8,1,6,4,2]=>[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,4,8,3,5,6,2]=>[1,7,6,5,3,4,8,2]=>[2,8,4,3,5,6,7,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,4,8,3,1,5,6,7]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,5,3,4,6,7]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,6,2,4,5,7,1]=>[1,8,2,3,6,5,4,7]=>[7,4,5,6,3,2,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,4,2,6,3,7]=>[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,3,6,1,5,4,2]=>[1,8,2,7,4,6,5,3]=>[3,5,6,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,2,7,4,5,8,3]=>[1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,7,1,3,4,8,6,5]=>[1,2,7,6,8,5,4,3]=>[3,4,5,8,6,7,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,6,8,7,4,5,1,3]=>[1,2,6,5,4,7,3,8]=>[8,3,7,4,5,6,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,2,8,4,3,1,7,5]=>[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,4,1,3,2,8]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,8,4,1,5,6,2]=>[1,3,8,2,7,6,5,4]=>[4,5,6,7,2,8,3,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,7,6,8,1,2,5,4]=>[1,3,6,2,7,5,4,8]=>[8,4,5,7,2,6,3,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,2,8,5,1,4,3]=>[1,7,4,8,3,2,6,5]=>[5,6,2,3,8,4,7,1]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,5,8,1,6,2,4]=>[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,1,6,3,8,5,2]=>[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,2,8,5,4,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,3,8,4,5,2,1]=>[1,6,5,4,8,2,7,3]=>[3,7,2,8,4,5,6,1]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,2,8,7,5,4,6,1]=>[1,3,8,2,4,7,6,5]=>[5,6,7,4,2,8,3,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,3,2,8,1,6,5]=>[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,5,8,2,1,4,6]=>[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,1,4,8,2,6,3]=>[1,5,8,3,2,7,6,4]=>[4,6,7,2,3,8,5,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[5,2,8,7,6,4,3,1]=>[1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,5,8,6,3,1,4,7]=>[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,8,5,4,1,6,7]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,5,3,8,4,6,2]=>[1,7,6,4,3,5,8,2]=>[2,8,5,3,4,6,7,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,7,3,6,5,2,1]=>[1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,7,2,1,3,5,6]=>[1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,3,2,4,6,1,8]=>[1,5,4,2,7,3,6,8]=>[8,6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,5,1,7,4,6,8]=>[1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,7,4,1,2,6,3]=>[1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,8,3,1,5,4,2]=>[1,7,4,3,8,2,6,5]=>[5,6,2,8,3,4,7,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[7,5,2,8,6,1,4,3]=>[1,7,4,8,3,2,5,6]=>[6,5,2,3,8,4,7,1]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,1,3,6,5,4,2]=>[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,7,4,6,2,3]=>[1,2,5,4,7,3,8,6]=>[6,8,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,1,3,4,2]=>[1,8,2,7,4,5,3,6]=>[6,3,5,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,1,4,5,3,2]=>[1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,6,1,4,3,2]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,7,1,5,4,3,2]=>[1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]=>([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,3,5,4,1,2]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,2,4,3,1]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,1,7,4,3,2]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,7,4,2,1,3]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,4,7,8,3,5,6,1]=>[1,2,4,8,3,7,6,5]=>[5,6,7,3,8,4,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,2,3,4,8,7,6]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,2,7,4,1,3]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,1,7,3,5,6,2]=>[1,8,2,4,7,6,5,3]=>[3,5,6,7,4,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,8,6,7,5,3,1]=>[1,4,6,5,7,3,8,2]=>[2,8,3,7,5,6,4,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,6,2,3,7,5,8,4]=>[1,2,6,5,7,8,4,3]=>[3,4,8,7,5,6,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,8,4,1,5,7,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,6,3,2,4,5,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,8,4,2,5,6,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,8,2,4,3,6,7]=>[1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[1,3,8,2,6,4,5,7]=>[1,2,3,8,7,5,6,4]=>[4,6,5,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,8,4,5,1,6,2]=>[1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,8,2,3,4,6,1,7]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[5,7,2,3,4,6,8,1]=>[1,5,4,3,2,7,8,6]=>[6,8,7,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,3,2,1,6,7,4]=>[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,7,8,4,6,1,3]=>[1,5,4,8,3,7,2,6]=>[6,2,7,3,8,4,5,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,6,3,4,7,2,5]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,7,6,3,4,5,2]=>[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,3,1,6,4,2]=>[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,6,3,4,7,8,2]=>[1,5,4,3,6,7,8,2]=>[2,8,7,6,3,4,5,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,7,5,3,6,4]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,5,8,6,4,2,1,3]=>[1,7,2,5,4,6,3,8]=>[8,3,6,4,5,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,3,5,7,4,2,1]=>[1,8,2,6,4,5,7,3]=>[3,7,5,4,6,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,3,4,5,7,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,2,1,8,4,5,6,3]=>[1,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,1]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,6,3,4,7,1,5]=>[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,8,1,4,2,7,3]=>[1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,3,8,4,1,6,2]=>[1,5,4,8,2,7,6,3]=>[3,6,7,2,8,4,5,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[5,7,3,1,4,6,2,8]=>[1,5,4,2,7,3,6,8]=>[8,6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,6,3,7,8,1,5]=>[1,4,3,6,8,5,7,2]=>[2,7,5,8,6,3,4,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,6,7,2,4,5,1,3]=>[1,8,3,7,2,6,5,4]=>[4,5,6,2,7,3,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,8,2,3,4,7,6,1]=>[1,5,4,3,2,8,6,7]=>[7,6,8,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,6,3,4,8,1,2]=>[1,5,4,3,6,8,2,7]=>[7,2,8,6,3,4,5,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,7,3,4,6,5,2]=>[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,3,1,7,5,4,6]=>[1,2,8,6,5,7,4,3]=>[3,4,7,5,6,8,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,2,6,7,5,3,8]=>[1,4,6,5,7,3,2,8]=>[8,2,3,7,5,6,4,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,7,5,2,6,3,1]=>[1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,6,8,7,4,5,3,2]=>[1,2,6,5,4,7,3,8]=>[8,3,7,4,5,6,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,6,3,4,7,1,5]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,3,5,4,7,6]=>[1,8,6,4,3,2,5,7]=>[7,5,2,3,4,6,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,3,6,7,5,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,1,4,2,3,8]=>[1,7,3,5,4,2,6,8]=>[8,6,2,4,5,3,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,1,3,4,7,2,6]=>[1,5,4,3,2,8,6,7]=>[7,6,8,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,7,3,2,4,6,1]=>[1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,5,8,3,7,4,2,1]=>[1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,4,8,3,5,2,1]=>[1,6,5,3,4,8,2,7]=>[7,2,8,4,3,5,6,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[7,1,3,8,4,6,5,2]=>[1,7,5,4,8,2,3,6]=>[6,3,2,8,4,5,7,1]=>([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,7,6,1,8,2,3,5]=>[1,4,2,7,3,6,5,8]=>[8,5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,6,8,1,7,2,3,5]=>[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,2,8,1,4,3,7,5]=>[1,6,3,8,5,4,2,7]=>[7,2,4,5,8,3,6,1]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,5,1,4,3,7,6]=>[1,8,6,3,5,4,2,7]=>[7,2,4,5,3,6,8,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,2,5,8,3,6,1]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,1,5,8,3,6,2]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,8,3,1,4,5,2]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[7,4,1,2,8,3,6,5]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,7,1,6,2,3,5,8]=>[1,4,6,3,2,7,5,8]=>[8,5,7,2,3,6,4,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,8,7,2,3,4,5]=>[1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,3,6,1,7,2,4]=>[1,8,4,6,7,2,5,3]=>[3,5,2,7,6,4,8,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,7,6,3,8,1,2,5]=>[1,4,3,6,2,7,5,8]=>[8,5,7,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,2,6,3,7,1,4]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,5,8,6,4,1,2,3]=>[1,7,2,5,4,6,3,8]=>[8,3,6,4,5,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,3,6,2,7,1,4]=>[1,8,4,6,7,2,5,3]=>[3,5,2,7,6,4,8,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,2,7,3,4,5,8,1]=>[1,6,5,4,3,7,8,2]=>[2,8,7,3,4,5,6,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,6,2,4,5,8,1]=>[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,8,2,4,1,7,3]=>[1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,7,1,2,6,3,4]=>[1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,5,7,2,1,6,3,4]=>[1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,5,7,1,2,3,6,4]=>[1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,5,7,2,3,1,6,4]=>[1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,8,7,5,3,4,6,2]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,7,3,5,4,6,2]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,7,1,3,2,6,4]=>[1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,8,7,4,5,3,6,2]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,7,4,3,5,6,2]=>[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,7,3,4,5,6,2]=>[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,5,3,1,4,2]=>[1,8,2,7,4,5,3,6]=>[6,3,5,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,5,8,7,1,6,3,4]=>[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,7,2,6,3,4]=>[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,3,2,7,5,4,6]=>[1,2,8,6,5,7,4,3]=>[3,4,7,5,6,8,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,8,7,1,6,3,4]=>[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,8,7,2,6,3,4]=>[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,1,3,7,5,4,6]=>[1,2,8,6,5,7,4,3]=>[3,4,7,5,6,8,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,2,3,7,5,4,6]=>[1,2,8,6,5,7,4,3]=>[3,4,7,5,6,8,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,2,1,7,3,4,5]=>[1,8,5,7,4,2,6,3]=>[3,6,2,4,7,5,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,7,5,3,6,4]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,8,1,4,5,7,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,7,4,8,3,6,2]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,7,8,4,5,2,3]=>[1,6,5,4,8,3,7,2]=>[2,7,3,8,4,5,6,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,7,8,2,4,3,1,5]=>[1,6,3,8,5,4,2,7]=>[7,2,4,5,8,3,6,1]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,6,4,8,2,5,1,7]=>[1,3,4,8,7,2,6,5]=>[5,6,2,7,8,4,3,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,1,6,7,4,2,3]=>[1,8,3,2,5,7,4,6]=>[6,4,7,5,2,3,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[2,5,8,4,1,6,3,7]=>[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,5,7,4,8,1,6,3]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,3,2,1,5,6,7]=>[1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,3,8,2,1,5,6,7]=>[1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,7,3,6,2,4]=>[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,7,2,8,4,6,5,3]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,7,6,8,4,3,5,1]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,7,3,8,4,6,5,1]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,4,1,6,5,3]=>[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,1,5,3,4,7,6]=>[1,2,8,6,4,5,3,7]=>[7,3,5,4,6,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,4,7,5,3,6]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,7,4,5,3,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,2,1,5,8,3,6,4]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,4,3,7,6,5]=>[1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,6,5,8,1,3,7]=>[1,4,5,8,7,3,6,2]=>[2,6,3,7,8,5,4,1]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,4,3,6,1,8,5,7]=>[1,2,4,6,8,7,5,3]=>[3,5,7,8,6,4,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,5,1,6,4,3,2,8]=>[1,7,2,5,4,6,3,8]=>[8,3,6,4,5,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,5,7,4,3,2,8]=>[1,6,3,5,4,7,2,8]=>[8,2,7,4,5,3,6,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,7,6,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,4,8,5,1,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,2,1,4,7,3]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,2,6,3,7,1,4]=>[1,8,4,6,7,2,5,3]=>[3,5,2,7,6,4,8,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,8,7,3,2,6,1,5]=>[1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,7,6,4,3,1,2]=>[1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,8,4,5,2,6,1]=>[1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[7,5,1,8,6,2,4,3]=>[1,7,4,8,3,2,5,6]=>[6,5,2,3,8,4,7,1]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,5,8,2,4,1,6]=>[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,3,5,7,6,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,3,2,4,7,1,5]=>[1,8,5,4,2,6,7,3]=>[3,7,6,2,4,5,8,1]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,1,2,4,7,3]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,4,7,1,2,6,3]=>[1,8,3,4,7,6,2,5]=>[5,2,6,7,4,3,8,1]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,1,3,4,6,2,5]=>[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,7,2,3,4,6,1,5]=>[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,6,5,1,3,2,7,4]=>[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,3,1,7,2,4,5]=>[1,8,5,7,4,2,6,3]=>[3,6,2,4,7,5,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,1,2,4,7,3,5]=>[1,8,5,4,2,6,7,3]=>[3,7,6,2,4,5,8,1]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,8,1,3,4,6,2]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[5,8,1,3,4,7,6,2]=>[1,5,4,3,2,8,6,7]=>[7,6,8,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,3,2,4,6,7]=>[1,2,5,3,8,7,6,4]=>[4,6,7,8,3,5,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,7,4,3,5,8,2]=>[1,6,5,3,7,8,2,4]=>[4,2,8,7,3,5,6,1]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,4,8,7,1,3,2,5]=>[1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,2,7,4,3,1]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,6,5,8,2,3,7]=>[1,4,5,8,7,3,6,2]=>[2,6,3,7,8,5,4,1]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,2,3,1,7,6,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,1,3,2,7,6,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,8,2,4,5,7,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,2,3,4,6,7,5]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,6,7,8,5,1,2,3]=>[1,4,8,3,7,2,6,5]=>[5,6,2,7,3,8,4,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,1,6,7,5,3,8]=>[1,4,6,5,7,3,2,8]=>[8,2,3,7,5,6,4,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,6,8,2,1,5,4]=>[1,3,6,2,7,5,4,8]=>[8,4,5,7,2,6,3,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,7,2,6,8,5,4,3]=>[1,2,7,4,6,5,8,3]=>[3,8,5,6,4,7,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,7,1,6,8,5,4,3]=>[1,2,7,4,6,5,8,3]=>[3,8,5,6,4,7,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,1,3,4,2,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,1,3,4,2,6,7]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[1,7,3,8,4,6,5,2]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,3,2,8,4,6,5,1]=>[1,7,5,4,8,2,3,6]=>[6,3,2,8,4,5,7,1]=>([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,7,5,4,8,1,6,2]=>[1,3,5,8,2,7,6,4]=>[4,6,7,2,8,5,3,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,2,4,1,8,5,3]=>[1,6,8,3,2,7,5,4]=>[4,5,7,2,3,8,6,1]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,2,1,3,8,5,4]=>[1,6,8,4,2,7,5,3]=>[3,5,7,2,4,8,6,1]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,3,8,7,4,1,2,5]=>[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,6,2,1,3,7,4]=>[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,4,7,3,6,5]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,3,5,1,4,7,6]=>[1,2,8,6,4,5,3,7]=>[7,3,5,4,6,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,6,2,8,7,5,4]=>[1,3,6,7,5,8,4,2]=>[2,4,8,5,7,6,3,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,3,8,2,4,1,6,7]=>[1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[5,8,4,2,3,1,6,7]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[5,6,3,4,8,2,1,7]=>[1,5,8,7,2,6,3,4]=>[4,3,6,2,7,8,5,1]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,2,7,3,4,5,6,1]=>[1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,7,3,4,5,6,2]=>[1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,3,4,5,6,1]=>[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,7,2,3,6,4]=>[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,2,1,6,3,8,5,4]=>[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,1,2,7,5,4,3]=>[1,8,3,2,6,5,7,4]=>[4,7,5,6,2,3,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,4,8,2,1,3,7,5]=>[1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,5,1,7,3,8,2,4]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[2,1,8,6,3,5,4,7]=>[1,2,3,8,7,4,6,5]=>[5,6,4,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,1,8,4,5,6,7]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,1,2,3,7,6,4]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,4,3,5,7,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,4,3,7,5,6]=>[1,2,3,8,6,7,5,4]=>[4,5,7,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,6,7,8,1,5,2,3]=>[1,4,8,3,7,2,6,5]=>[5,6,2,7,3,8,4,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,1,4,8,3,2]=>[1,7,3,5,4,2,6,8]=>[8,6,2,4,5,3,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,1,5,3,7,6,4]=>[1,8,4,5,3,2,6,7]=>[7,6,2,3,5,4,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,1,5,4,7,2,3]=>[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,6,4,2,8,3,1,7]=>[1,5,8,7,2,6,3,4]=>[4,3,6,2,7,8,5,1]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,3,7,1,4,8,5,2]=>[1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,3,1,4,5,8,2]=>[1,6,5,4,2,7,8,3]=>[3,8,7,2,4,5,6,1]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,8,5,3,2,6,1]=>[1,7,6,2,4,5,3,8]=>[8,3,5,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,4,8,7,5,2,6,1]=>[1,3,8,2,4,7,6,5]=>[5,6,7,4,2,8,3,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,3,6,4,2,5,1]=>[1,8,2,7,5,4,6,3]=>[3,6,4,5,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,1,8,5,4,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,3,6,4,7,1,5]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,6,7,1,4,5,3,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,1,7,3,8,6,5]=>[1,4,7,6,8,5,3,2]=>[2,3,5,8,6,7,4,1]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,1,8,3,5,6,7]=>[1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,6,8,4,2,5,1]=>[1,3,6,2,7,5,4,8]=>[8,4,5,7,2,6,3,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,6,1,4,5,7,2]=>[1,8,2,3,6,5,4,7]=>[7,4,5,6,3,2,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,6,3,4,5,7,1]=>[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,4,8,7,5,2,6]=>[1,3,4,8,6,5,7,2]=>[2,7,5,6,8,4,3,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,5,1,2,3,7,4]=>[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,2,7,4,5,3,1]=>[1,6,5,4,7,3,2,8]=>[8,2,3,7,4,5,6,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,2,6,7,5,3,1]=>[1,4,6,5,7,3,2,8]=>[8,2,3,7,5,6,4,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,6,7,4,5,3,1]=>[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,6,7,4,5,3,1]=>[1,8,2,3,6,5,4,7]=>[7,4,5,6,3,2,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,2,8,7,4,5,3,1]=>[1,6,5,4,7,3,8,2]=>[2,8,3,7,4,5,6,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,6,8,7,4,5,3,1]=>[1,2,6,5,4,7,3,8]=>[8,3,7,4,5,6,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,6,4,7,5,3,1]=>[1,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,1,3,4,8,7,6]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,8,5,6,2,4,1,7]=>[1,3,5,2,8,7,4,6]=>[6,4,7,8,2,5,3,1]=>([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,6,1,4,5,8,7]=>[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,5,3,4,1,6]=>[1,2,8,6,4,5,3,7]=>[7,3,5,4,6,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,2,1,5,4,3,6,8]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,2,1,4,5,3,6,8]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,6,8,1,5,3,7,2]=>[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,2,4,3,6,7,1]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,2,3,1,6,7,4]=>[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,5,1,4,3,7,2]=>[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,4,8,7,5,1,6,2]=>[1,3,8,2,4,7,6,5]=>[5,6,7,4,2,8,3,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,1,6,3,7,2,4]=>[1,8,4,6,7,2,5,3]=>[3,5,2,7,6,4,8,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,8,5,1,3,4,7,2]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,1,8,5,4,6,7]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,2,6,3,1,7,5]=>[1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,5,2,3,1,7,4]=>[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,8,5,2,1,4,6,3]=>[1,7,6,4,2,8,3,5]=>[5,3,8,2,4,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,8,7,2,1,4,6,3]=>[1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,7,1,3,4,5,2]=>[1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]=>([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,2,1,3,6,7,5]=>[1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,1,3,2,6,7,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,1,3,4,2,8,7]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,1,2,4,5,8,3]=>[1,6,5,4,2,7,8,3]=>[3,8,7,2,4,5,6,1]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,1,3,2,6,7,4]=>[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,2,6,3,4,1]=>[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,1,5,2,3,6,8]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,1,8,4,3,2,7]=>[1,5,4,8,7,2,6,3]=>[3,6,2,7,8,4,5,1]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,6,3,7,8,2,5]=>[1,4,3,6,8,5,7,2]=>[2,7,5,8,6,3,4,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,2,4,8,1,5,6,7]=>[1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,4,8,7,2,3,1,5]=>[1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,5,2,1,8,6,4,7]=>[1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,7,2,3,4,8,6,5]=>[1,2,7,6,8,5,4,3]=>[3,4,5,8,6,7,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,2,3,4,7,6,5]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,7,3,5,6,1,2]=>[1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,1,7,5,2,3,6]=>[1,8,6,2,4,7,3,5]=>[5,3,7,4,2,6,8,1]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,2,3,4,7,1]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,3,1,4,8,2,6]=>[1,5,4,2,7,3,6,8]=>[8,6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,3,8,7,2,6,4,1]=>[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,7,2,8,4,5,6,3]=>[1,2,7,6,5,4,8,3]=>[3,8,4,5,6,7,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,7,4,6,3,2,5]=>[1,8,5,6,3,7,2,4]=>[4,2,7,3,6,5,8,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,6,5,2,4,7,1,3]=>[1,8,3,5,4,2,6,7]=>[7,6,2,4,5,3,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,6,2,4,7,3,5]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,6,3,4,7,2,5]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,6,1,4,7,3,5]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,3,1,4,7,2,5]=>[1,8,5,4,2,6,7,3]=>[3,7,6,2,4,5,8,1]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,7,6,1,8,5,2,3]=>[1,4,2,7,3,6,5,8]=>[8,5,6,3,7,2,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,6,1,8,2,5,3]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,6,5,1,7,2,3,4]=>[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,7,4,1,2,3]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,1,4,5,7,2,3]=>[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,3,8,4,2,1,7,5]=>[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,7,8,5,3,6,2]=>[1,4,8,2,3,7,6,5]=>[5,6,7,3,2,8,4,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)=>[8]
[6,2,7,3,1,8,5,4]=>[1,6,8,4,3,7,5,2]=>[2,5,7,3,4,8,6,1]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,7,4,2,3,1]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,1,2,7,4,5,3]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,5,8,7,3,6,4,1]=>[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,3,8,7,2,1,4,5]=>[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,4,3,8,1,5,6,7]=>[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,8,4,2,1,5,6,7]=>[1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,8,4,1,5,6,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,4,2,8,1,5,6,7]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,4,8,5,3,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,7,5,2,8,4,3]=>[1,6,8,3,7,4,5,2]=>[2,5,4,7,3,8,6,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,4,2,8,7,5,3,6]=>[1,2,4,8,6,5,7,3]=>[3,7,5,6,8,4,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,6,4,7,5,1,3]=>[1,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,3,7,4,1,8,5,2]=>[1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,8,5,2,1,6,3]=>[1,7,6,2,4,5,3,8]=>[8,3,5,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,7,3,2,8,5,4]=>[1,6,8,4,3,7,5,2]=>[2,5,7,3,4,8,6,1]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,1,3,7,4,2,6]=>[1,8,6,4,3,2,5,7]=>[7,5,2,3,4,6,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,6,3,4,7,1,8]=>[1,5,4,3,6,7,2,8]=>[8,2,7,6,3,4,5,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,6,2,4,5,1,8]=>[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,8,7,5,4,6,1]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,2,3,8,1,6,5]=>[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,8,5,6,1,2,4,7]=>[1,3,5,2,8,7,4,6]=>[6,4,7,8,2,5,3,1]=>([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,5,8,1,2,4,6]=>[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,7,1,2,4,6,3]=>[1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,1,3,8,2,6,5]=>[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,1,3,4,2,6,5]=>[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,1,8,3,4,2,7,5]=>[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,2,7,5,1,3,6]=>[1,8,6,2,4,7,3,5]=>[5,3,7,4,2,6,8,1]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,7,2,3,6,8,5,4]=>[1,2,7,5,6,8,4,3]=>[3,4,8,6,5,7,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,5,8,1,3,2,4]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,2,4,7,5,1,3]=>[1,8,3,2,6,5,7,4]=>[4,7,5,6,2,3,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,7,5,2,4,6,3,1]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,6,1,7,5,4,3]=>[1,8,3,6,5,7,4,2]=>[2,4,7,5,6,3,8,1]=>([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,2,4,3,7,6,1]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,7,2,3,5,8,4]=>[1,6,5,3,7,8,4,2]=>[2,4,8,7,3,5,6,1]=>([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,7,3,4,5,2,1]=>[1,6,5,4,3,7,2,8]=>[8,2,7,3,4,5,6,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,3,7,5,4,1,6]=>[1,8,6,4,7,2,3,5]=>[5,3,2,7,4,6,8,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,3,1,7,5,4,2,6]=>[1,8,6,4,7,2,3,5]=>[5,3,2,7,4,6,8,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,2,7,1,4,5,6,3]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,7,3,4,6,2,5]=>[1,8,5,4,3,7,2,6]=>[6,2,7,3,4,5,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,1,8,7,2,6,4,3]=>[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,7,4,2,3,5,6]=>[1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,8,1,4,2,3,7]=>[1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,5,8,7,4,1,3,6]=>[1,2,5,4,7,3,8,6]=>[6,8,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,4,1,5,6,3]=>[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,2,1,5,7,4,3]=>[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,8,4,1,5,2,6,7]=>[1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,1,3,2,6,5,7]=>[1,4,3,2,8,7,5,6]=>[6,5,7,8,2,3,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[2,5,8,7,4,6,3,1]=>[1,2,5,4,7,3,8,6]=>[6,8,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,7,5,1,6,2,3]=>[1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,1,8,4,5,3,2]=>[1,6,5,4,8,2,7,3]=>[3,7,2,8,4,5,6,1]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,1,8,7,6,4,2,5]=>[1,3,8,5,6,4,7,2]=>[2,7,4,6,5,8,3,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,7,1,6,5,3,2,8]=>[1,4,6,3,2,7,5,8]=>[8,5,7,2,3,6,4,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,6,1,4,3,2,8]=>[1,5,4,2,7,3,6,8]=>[8,6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,1,4,3,2,6]=>[1,8,6,3,5,4,2,7]=>[7,2,4,5,3,6,8,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,2,6,3,8,5,4]=>[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,7,3,1,6,2,5]=>[1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,3,7,5,2,1,6]=>[1,8,6,2,4,7,3,5]=>[5,3,7,4,2,6,8,1]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,7,4,3,2,1,5]=>[1,6,2,8,5,3,7,4]=>[4,7,3,5,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,8,5,4,1,6,2]=>[1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,5,8,6,2,4,3,7]=>[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,5,1,4,6,7,3]=>[1,8,3,5,4,2,6,7]=>[7,6,2,4,5,3,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,2,6,3,7,5,1]=>[1,8,2,4,6,7,5,3]=>[3,5,7,6,4,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,2,6,5,1,4,3]=>[1,8,3,2,7,4,6,5]=>[5,6,4,7,2,3,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,8,3,2,1,7,6,4]=>[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,4,3,8,2,5,6,7]=>[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,4,8,3,2,5,6,7]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,4,5,1,6,3]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,5,3,6,7,4]=>[1,8,4,5,3,2,6,7]=>[7,6,2,3,5,4,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,2,5,7,4,3,1]=>[1,8,2,6,4,5,7,3]=>[3,7,5,4,6,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,4,2,5,3,1]=>[1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,7,1,3,6,8,5,4]=>[1,2,7,5,6,8,4,3]=>[3,4,8,6,5,7,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,3,8,7,1,6,4,2]=>[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,1,4,2,8,5,3]=>[1,6,8,3,2,7,5,4]=>[4,5,7,2,3,8,6,1]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,1,2,7,3,4,5]=>[1,8,5,7,4,2,6,3]=>[3,6,2,4,7,5,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,6,1,4,5,7,3]=>[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,7,2,5,4,1,3]=>[1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]=>([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,1,2,5,4,7,3]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,2,8,5,6,4,3]=>[1,7,4,8,3,2,5,6]=>[6,5,2,3,8,4,7,1]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,8,3,5,4,7,2]=>[1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,2,3,4,6,7,1]=>[1,5,4,3,2,8,6,7]=>[7,6,8,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,2,1,3,7,6,4]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,2,1,3,5,6,7]=>[1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,8,7,3,2,4,1,5]=>[1,6,4,3,7,2,8,5]=>[5,8,2,7,3,4,6,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,8,3,7,5,1,6]=>[1,4,3,8,6,5,7,2]=>[2,7,5,6,8,3,4,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,8,5,3,2,4,7,6]=>[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,4,6,3,5,7]=>[1,2,3,8,7,5,6,4]=>[4,6,5,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,8,5,4,2,6,7]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,2,5,3,8,4,6,1]=>[1,7,6,4,3,5,8,2]=>[2,8,5,3,4,6,7,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,8,7,5,1,6,4]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,7,4,3,5,8,6]=>[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,8,7,5,4,6,2]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,5,2,7,4,3,6]=>[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,8,6,4,2,5,7]=>[1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,7,3,8,4,5,6,2]=>[1,2,7,6,5,4,8,3]=>[3,8,4,5,6,7,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,3,8,1,5,2,6,7]=>[1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,2,5,3,1,6,7]=>[1,4,5,3,2,8,7,6]=>[6,7,8,2,3,5,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[1,8,7,5,2,4,6,3]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,6,2,4,8,3,1]=>[1,5,4,2,7,3,6,8]=>[8,6,3,7,2,4,5,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,3,8,4,2,6,1]=>[1,5,4,8,2,7,6,3]=>[3,6,7,2,8,4,5,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[3,6,4,8,1,5,2,7]=>[1,3,4,8,7,2,6,5]=>[5,6,2,7,8,4,3,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,3,8,2,4,6,1,7]=>[1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[6,7,8,3,5,4,2,1]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[7,2,6,8,4,3,5,1]=>[1,7,5,4,8,2,3,6]=>[6,3,2,8,4,5,7,1]=>([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,5,8,7,4,3,2,6]=>[1,2,5,4,7,3,8,6]=>[6,8,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,3,6,4,7,2,5]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,4,8,5,2,6,1]=>[1,3,4,8,2,7,6,5]=>[5,6,7,2,8,4,3,1]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,8,7,1,4,6,3]=>[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,2,6,3,7,4,1]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,6,3,4,2,7]=>[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,6,3,1,2,7,4]=>[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,6,4,5,3,7]=>[1,2,3,8,7,4,6,5]=>[5,6,4,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,6,1,4,5,2,8]=>[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,5,3,1,4,7,6]=>[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,3,4,6,1,5]=>[1,8,5,4,3,7,2,6]=>[6,2,7,3,4,5,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,5,8,4,2,3,6,7]=>[1,2,5,3,8,7,6,4]=>[4,6,7,8,3,5,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,8,6,2,4,5,7]=>[1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,1,6,3,7,2,5]=>[1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,8,2,4,3,7,1]=>[1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,7,8,3,5,6,1]=>[1,4,8,2,3,7,6,5]=>[5,6,7,3,2,8,4,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)=>[8]
[8,4,2,7,3,5,6,1]=>[1,8,2,4,7,6,5,3]=>[3,5,6,7,4,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,6,4,7,5,3,2]=>[1,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,6,4,7,5,2,3]=>[1,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,8,4,3,1,6,7]=>[1,5,3,8,7,6,2,4]=>[4,2,6,7,8,3,5,1]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,1,8,4,3,2,6,7]=>[1,5,3,8,7,6,2,4]=>[4,2,6,7,8,3,5,1]=>([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,2,8,6,4,3,5,7]=>[1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,3,8,2,4,1,7,5]=>[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,2,4,5,7,1,3]=>[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,4,3,7,5,1,2,6]=>[1,8,6,2,4,7,3,5]=>[5,3,7,4,2,6,8,1]=>([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,7,6,4,3,1,2]=>[1,8,2,5,4,6,3,7]=>[7,3,6,4,5,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,5,3,4,1,6]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,7,2,6,3,1,5]=>[1,8,5,6,3,7,2,4]=>[4,2,7,3,6,5,8,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,1,7,4,3,5,6,2]=>[1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,1,4,5,6,3]=>[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,8,7,6,4,1,5]=>[1,3,8,5,6,4,7,2]=>[2,7,4,6,5,8,3,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,2,3,4,1,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,7,2,3,4,5,1]=>[1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]=>([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,6,7,3,4,5,1,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,2,7,3,4,5,1,8]=>[1,6,5,4,3,7,2,8]=>[8,2,7,3,4,5,6,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,1,3,4,7,2,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,5,7,3,1,4,2,8]=>[1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,5,4,1,6,3]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,3,5,1,4,6,2]=>[1,8,2,7,6,4,5,3]=>[3,5,4,6,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,7,3,1,2,4,5]=>[1,6,2,8,5,3,7,4]=>[4,7,3,5,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,1,6,4,3,2]=>[1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,1,3,4,2,7,6]=>[1,5,4,3,2,8,6,7]=>[7,6,8,2,3,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,8,7,4,5,6,1]=>[1,3,8,2,4,7,6,5]=>[5,6,7,4,2,8,3,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,8,7,2,5,6,4]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,7,3,5,4,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,6,2,4,3,7,5]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,7,3,2,1,4,5]=>[1,6,2,8,5,3,7,4]=>[4,7,3,5,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,8,7,5,4,6,3]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,8,4,3,5,2,7]=>[1,6,5,3,8,7,2,4]=>[4,2,7,8,3,5,6,1]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,6,8,2,5,4,3]=>[1,7,4,8,3,6,5,2]=>[2,5,6,3,8,4,7,1]=>([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,7,3,2,4,8,6,5]=>[1,2,7,6,8,5,4,3]=>[3,4,5,8,6,7,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,3,2,5,6,4,1]=>[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,2,1,8,4,6,3]=>[1,5,8,3,2,7,6,4]=>[4,6,7,2,3,8,5,1]=>([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[2,1,8,5,3,4,6,7]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,4,8,1,2,3,7,5]=>[1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,3,1,7,4,5,6]=>[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,5,2,4,8,3,6]=>[1,7,3,5,4,2,6,8]=>[8,6,2,4,5,3,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,3,7,2,5,6,1]=>[1,8,2,4,7,6,5,3]=>[3,5,6,7,4,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,3,7,1,5,6,2]=>[1,8,2,4,7,6,5,3]=>[3,5,6,7,4,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,7,1,4,5,6,2]=>[1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,8,5,1,4,6,2]=>[1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,5,8,7,4,2,3,6]=>[1,2,5,4,7,3,8,6]=>[6,8,3,7,4,5,2,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,2,3,6,4,7]=>[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,8,5,2,1,6,4,7]=>[1,3,5,2,8,7,4,6]=>[6,4,7,8,2,5,3,1]=>([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,8,6,4,7,2,5]=>[1,3,8,5,4,6,7,2]=>[2,7,6,4,5,8,3,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,2,3,1,6,7,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,5,2,4,6,7,3]=>[1,8,3,5,4,2,6,7]=>[7,6,2,4,5,3,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,5,2,4,3,7,1]=>[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,8,2,5,4,6,1]=>[1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,6,2,7,8,3,1,4]=>[1,5,8,4,7,2,6,3]=>[3,6,2,7,4,8,5,1]=>([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,1,7,4,2,3]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,7,6,3,8,2,5,1]=>[1,4,3,6,2,7,5,8]=>[8,5,7,2,6,3,4,1]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,1,3,2,4,6,7]=>[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,3,8,1,4,2,6,7]=>[1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[7,6,1,8,2,5,4,3]=>[1,7,4,8,3,2,6,5]=>[5,6,2,3,8,4,7,1]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,6,8,1,7,3,5,2]=>[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,5,7,2,1,4,3]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,7,5,1,2,6,3]=>[1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,7,5,1,3,6,2]=>[1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,8,2,4,6,3,7]=>[1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]=>([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[5,8,2,6,3,1,7,4]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,8,7,3,6,1,2,5]=>[1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]=>([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,8,3,7,5,2,6]=>[1,4,3,8,6,5,7,2]=>[2,7,5,6,8,3,4,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[2,1,8,7,3,5,4,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,8,5,2,4,6,7]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,8,6,3,2,1,7,4]=>[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,5,7,4,8,3,6,1]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,2,3,7,4,1,6]=>[1,8,6,4,3,2,5,7]=>[7,5,2,3,4,6,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,1,6,4,3,7,2]=>[1,8,2,5,4,6,3,7]=>[7,3,6,4,5,2,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,8,6,2,3,4,7]=>[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,8,4,7,1,6,5]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,3,5,2,6,4,7]=>[1,2,8,7,4,5,3,6]=>[6,3,5,4,7,8,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,8,7,4,5,1,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,3,5,7,4,2,6]=>[1,2,8,6,4,5,7,3]=>[3,7,5,4,6,8,2,1]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,2,6,3,4,5,8]=>[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,7,3,4,6,1,8]=>[1,5,4,3,7,2,6,8]=>[8,6,2,7,3,4,5,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,1,2,7,3,5,4]=>[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,8,1,7,5,4,6]=>[1,3,8,6,5,7,4,2]=>[2,4,7,5,6,8,3,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,6,4,1,3,2]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,1,6,4,7,3,8]=>[1,5,4,6,7,3,2,8]=>[8,2,3,7,6,4,5,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,8,4,7,2,6,5]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,1,6,4,3,5,2]=>[1,8,2,7,5,4,6,3]=>[3,6,4,5,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,3,5,1,6,4,2]=>[1,8,2,7,4,5,3,6]=>[6,3,5,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,7,3,6,8,5,4,1]=>[1,2,7,4,6,5,8,3]=>[3,8,5,6,4,7,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,2,6,4,5,1,3]=>[1,8,3,2,7,4,6,5]=>[5,6,4,7,2,3,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,1,8,7,4,5,3,2]=>[1,6,5,4,7,3,8,2]=>[2,8,3,7,4,5,6,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,1,5,3,7,2,4]=>[1,8,4,5,3,2,6,7]=>[7,6,2,3,5,4,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,5,3,6,4,2,1,8]=>[1,7,2,5,4,6,3,8]=>[8,3,6,4,5,2,7,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,2,4,6,8,1,5,3]=>[1,7,5,8,3,4,6,2]=>[2,6,4,3,8,5,7,1]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,8,6,3,4,7,2,1]=>[1,5,4,3,6,7,2,8]=>[8,2,7,6,3,4,5,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,1,2,7,6,4,3]=>[1,8,3,2,5,7,4,6]=>[6,4,7,5,2,3,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,1,6,7,4,5,3,2]=>[1,8,2,3,6,5,4,7]=>[7,4,5,6,3,2,8,1]=>([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,7,3,8,4,5,6,1]=>[1,2,7,6,5,4,8,3]=>[3,8,4,5,6,7,2,1]=>([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,3,2,6,4,1]=>[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]=>([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,8,1,4,6,5,7]=>[1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,6,2,7,4,5,3,8]=>[1,2,6,5,4,7,3,8]=>[8,3,7,4,5,6,2,1]=>([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,4,5,3,8,1,6,2]=>[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,5,3,7,6,4]=>[1,8,4,5,3,2,6,7]=>[7,6,2,3,5,4,8,1]=>([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,2,8,3,7,4,5,1]=>[1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]=>([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,6,7,2,5,4,3]=>[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
Map
to partition of connected components
Description
Return the partition of the sizes of the connected components of the graph.
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