Identifier
Mp00238:
Permutations
—Clarke-Steingrimsson-Zeng⟶
Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00037: Graphs —to partition of connected components⟶ Integer partitions
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00037: Graphs —to partition of connected components⟶ Integer partitions
Images
=>
Cc0020;cc-rep-2Cc0002;cc-rep-3
[1]=>[1]=>([],1)=>[1]
[1,2]=>[1,2]=>([],2)=>[1,1]
[2,1]=>[2,1]=>([(0,1)],2)=>[2]
[1,2,3]=>[1,2,3]=>([],3)=>[1,1,1]
[1,3,2]=>[1,3,2]=>([(1,2)],3)=>[2,1]
[2,1,3]=>[2,1,3]=>([(1,2)],3)=>[2,1]
[2,3,1]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>[3]
[3,1,2]=>[3,1,2]=>([(0,2),(1,2)],3)=>[3]
[3,2,1]=>[2,3,1]=>([(0,2),(1,2)],3)=>[3]
[1,2,3,4]=>[1,2,3,4]=>([],4)=>[1,1,1,1]
[1,2,4,3]=>[1,2,4,3]=>([(2,3)],4)=>[2,1,1]
[1,3,2,4]=>[1,3,2,4]=>([(2,3)],4)=>[2,1,1]
[1,3,4,2]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>[3,1]
[1,4,2,3]=>[1,4,2,3]=>([(1,3),(2,3)],4)=>[3,1]
[1,4,3,2]=>[1,3,4,2]=>([(1,3),(2,3)],4)=>[3,1]
[2,1,3,4]=>[2,1,3,4]=>([(2,3)],4)=>[2,1,1]
[2,1,4,3]=>[2,1,4,3]=>([(0,3),(1,2)],4)=>[2,2]
[2,3,1,4]=>[3,2,1,4]=>([(1,2),(1,3),(2,3)],4)=>[3,1]
[2,3,4,1]=>[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[2,4,1,3]=>[4,2,1,3]=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[2,4,3,1]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[3,1,2,4]=>[3,1,2,4]=>([(1,3),(2,3)],4)=>[3,1]
[3,1,4,2]=>[4,3,1,2]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[3,2,1,4]=>[2,3,1,4]=>([(1,3),(2,3)],4)=>[3,1]
[3,2,4,1]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[3,4,1,2]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[3,4,2,1]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[4,1,2,3]=>[4,1,2,3]=>([(0,3),(1,3),(2,3)],4)=>[4]
[4,1,3,2]=>[3,4,1,2]=>([(0,2),(0,3),(1,2),(1,3)],4)=>[4]
[4,2,1,3]=>[2,4,1,3]=>([(0,3),(1,2),(2,3)],4)=>[4]
[4,2,3,1]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>[4]
[4,3,1,2]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>[4]
[4,3,2,1]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>[4]
[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>[1,1,1,1,1]
[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)=>[2,1,1,1]
[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>[2,1,1,1]
[1,2,4,5,3]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>[3,1,1]
[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>[3,1,1]
[1,2,5,4,3]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>[3,1,1]
[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>[2,1,1,1]
[1,3,2,5,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>[2,2,1]
[1,3,4,2,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>[3,1,1]
[1,3,4,5,2]=>[1,5,3,4,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[1,3,5,2,4]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[1,3,5,4,2]=>[1,4,3,5,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>[3,1,1]
[1,4,2,5,3]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[1,4,3,2,5]=>[1,3,4,2,5]=>([(2,4),(3,4)],5)=>[3,1,1]
[1,4,3,5,2]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[1,4,5,2,3]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[1,4,5,3,2]=>[1,3,5,4,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>[4,1]
[1,5,2,4,3]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>[4,1]
[1,5,3,2,4]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>[4,1]
[1,5,3,4,2]=>[1,4,5,3,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[1,5,4,2,3]=>[1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5)=>[4,1]
[1,5,4,3,2]=>[1,3,4,5,2]=>([(1,4),(2,4),(3,4)],5)=>[4,1]
[2,1,3,4,5]=>[2,1,3,4,5]=>([(3,4)],5)=>[2,1,1,1]
[2,1,3,5,4]=>[2,1,3,5,4]=>([(1,4),(2,3)],5)=>[2,2,1]
[2,1,4,3,5]=>[2,1,4,3,5]=>([(1,4),(2,3)],5)=>[2,2,1]
[2,1,4,5,3]=>[2,1,5,4,3]=>([(0,1),(2,3),(2,4),(3,4)],5)=>[3,2]
[2,1,5,3,4]=>[2,1,5,3,4]=>([(0,1),(2,4),(3,4)],5)=>[3,2]
[2,1,5,4,3]=>[2,1,4,5,3]=>([(0,1),(2,4),(3,4)],5)=>[3,2]
[2,3,1,4,5]=>[3,2,1,4,5]=>([(2,3),(2,4),(3,4)],5)=>[3,1,1]
[2,3,1,5,4]=>[3,2,1,5,4]=>([(0,1),(2,3),(2,4),(3,4)],5)=>[3,2]
[2,3,4,1,5]=>[4,2,3,1,5]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[2,3,4,5,1]=>[5,2,3,4,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,3,5,1,4]=>[5,2,3,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,3,5,4,1]=>[4,2,3,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,4,1,3,5]=>[4,2,1,3,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[2,4,1,5,3]=>[5,2,4,1,3]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,4,3,1,5]=>[3,2,4,1,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[2,4,3,5,1]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,4,5,1,3]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>[5]
[2,4,5,3,1]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>[5]
[2,5,1,3,4]=>[5,2,1,3,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,5,1,4,3]=>[4,2,5,1,3]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[5]
[2,5,3,1,4]=>[3,2,5,1,4]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>[5]
[2,5,3,4,1]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[2,5,4,1,3]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>[5]
[2,5,4,3,1]=>[3,2,4,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,1,2,4,5]=>[3,1,2,4,5]=>([(2,4),(3,4)],5)=>[3,1,1]
[3,1,2,5,4]=>[3,1,2,5,4]=>([(0,1),(2,4),(3,4)],5)=>[3,2]
[3,1,4,2,5]=>[4,3,1,2,5]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[3,1,4,5,2]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,1,5,2,4]=>[5,3,1,2,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,1,5,4,2]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>[5]
[3,2,1,4,5]=>[2,3,1,4,5]=>([(2,4),(3,4)],5)=>[3,1,1]
[3,2,1,5,4]=>[2,3,1,5,4]=>([(0,1),(2,4),(3,4)],5)=>[3,2]
[3,2,4,1,5]=>[4,3,2,1,5]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[3,2,4,5,1]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,2,5,1,4]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,2,5,4,1]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,4,1,2,5]=>[4,1,3,2,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[3,4,1,5,2]=>[5,4,3,1,2]=>([(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]=>[2,4,3,1,5]=>([(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[3,4,2,5,1]=>[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]
[3,4,5,1,2]=>[5,1,3,4,2]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,4,5,2,1]=>[2,5,3,4,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,5,1,2,4]=>[5,1,3,2,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[3,5,1,4,2]=>[4,5,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5]
[3,5,2,1,4]=>[2,5,3,1,4]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[5]
[3,5,2,4,1]=>[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]
[3,5,4,1,2]=>[4,1,3,5,2]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[5]
[3,5,4,2,1]=>[2,4,3,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,1,2,3,5]=>[4,1,2,3,5]=>([(1,4),(2,4),(3,4)],5)=>[4,1]
[4,1,2,5,3]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,1,3,2,5]=>[3,4,1,2,5]=>([(1,3),(1,4),(2,3),(2,4)],5)=>[4,1]
[4,1,3,5,2]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,1,5,2,3]=>[5,4,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,1,5,3,2]=>[3,5,4,1,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>[5]
[4,2,1,3,5]=>[2,4,1,3,5]=>([(1,4),(2,3),(3,4)],5)=>[4,1]
[4,2,1,5,3]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>[5]
[4,2,3,1,5]=>[3,4,2,1,5]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[4,1]
[4,2,3,5,1]=>[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]
[4,2,5,1,3]=>[5,4,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,2,5,3,1]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,3,1,2,5]=>[3,1,4,2,5]=>([(1,4),(2,3),(3,4)],5)=>[4,1]
[4,3,1,5,2]=>[5,3,4,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5]
[4,3,2,1,5]=>[2,3,4,1,5]=>([(1,4),(2,4),(3,4)],5)=>[4,1]
[4,3,2,5,1]=>[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]
[4,3,5,1,2]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,3,5,2,1]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,5,1,2,3]=>[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,5,1,3,2]=>[3,5,1,4,2]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>[5]
[4,5,2,1,3]=>[2,5,1,4,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>[5]
[4,5,2,3,1]=>[3,5,2,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[4,5,3,1,2]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>[5]
[4,5,3,2,1]=>[2,3,5,4,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,1,2,3,4]=>[5,1,2,3,4]=>([(0,4),(1,4),(2,4),(3,4)],5)=>[5]
[5,1,2,4,3]=>[4,1,5,2,3]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>[5]
[5,1,3,2,4]=>[3,5,1,2,4]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>[5]
[5,1,3,4,2]=>[4,5,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>[5]
[5,1,4,2,3]=>[4,5,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>[5]
[5,1,4,3,2]=>[3,4,5,1,2]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>[5]
[5,2,1,3,4]=>[2,5,1,3,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>[5]
[5,2,1,4,3]=>[2,4,5,1,3]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>[5]
[5,2,3,1,4]=>[3,5,2,1,4]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>[5]
[5,2,3,4,1]=>[4,5,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>[5]
[5,2,4,1,3]=>[4,5,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>[5]
[5,2,4,3,1]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,3,1,2,4]=>[3,1,5,2,4]=>([(0,4),(1,3),(2,3),(2,4)],5)=>[5]
[5,3,1,4,2]=>[4,3,5,1,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>[5]
[5,3,2,1,4]=>[2,3,5,1,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>[5]
[5,3,2,4,1]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,3,4,1,2]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>[5]
[5,3,4,2,1]=>[2,4,5,3,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,4,1,2,3]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5)=>[5]
[5,4,1,3,2]=>[3,4,1,5,2]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>[5]
[5,4,2,1,3]=>[2,4,1,5,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>[5]
[5,4,2,3,1]=>[3,4,2,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>[5]
[5,4,3,1,2]=>[3,1,4,5,2]=>([(0,4),(1,4),(2,3),(3,4)],5)=>[5]
[5,4,3,2,1]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>[5]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>[1,1,1,1,1,1]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>[2,1,1,1,1]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>[2,1,1,1,1]
[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>[3,1,1,1]
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>[3,1,1,1]
[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>[3,1,1,1]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>[2,1,1,1,1]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>[3,1,1,1]
[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,2,4,6,5,3]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>[3,1,1,1]
[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>[3,1,1,1]
[1,2,5,4,6,3]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,2,5,6,4,3]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>[4,1,1]
[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>[4,1,1]
[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>[4,1,1]
[1,2,6,4,5,3]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>[4,1,1]
[1,2,6,5,4,3]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>[4,1,1]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>[2,1,1,1,1]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>[3,2,1]
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>[3,1,1,1]
[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>[3,2,1]
[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,3,4,6,5,2]=>[1,5,3,4,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,3,5,2,6,4]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,3,5,4,2,6]=>[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,3,5,4,6,2]=>[1,6,3,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[1,3,5,6,4,2]=>[1,4,3,6,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,3,6,2,5,4]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,3,6,4,2,5]=>[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[1,3,6,4,5,2]=>[1,5,3,6,4,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,3,6,5,2,4]=>[1,5,3,2,6,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[1,3,6,5,4,2]=>[1,4,3,5,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>[3,1,1,1]
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,4,2,5,6,3]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,2,6,5,3]=>[1,5,4,2,6,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>[3,1,1,1]
[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[1,4,3,5,2,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,4,3,5,6,2]=>[1,6,4,3,5,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,3,6,2,5]=>[1,6,4,3,2,5]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,3,6,5,2]=>[1,5,4,3,6,2]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,4,5,2,6,3]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,5,3,2,6]=>[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,5,6,3,2]=>[1,3,6,4,5,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,6,2,5,3]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[5,1]
[1,4,6,3,2,5]=>[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,6,3,5,2]=>[1,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,6,5,2,3]=>[1,5,2,4,6,3]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,4,6,5,3,2]=>[1,3,5,4,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>[4,1,1]
[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>[4,1,1]
[1,5,2,4,6,3]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,2,6,4,3]=>[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>[4,1,1]
[1,5,3,2,6,4]=>[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,3,4,2,6]=>[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[1,5,3,4,6,2]=>[1,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,3,6,2,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,3,6,4,2]=>[1,4,6,5,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>[4,1,1]
[1,5,4,2,6,3]=>[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[5,1]
[1,5,4,3,2,6]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>[4,1,1]
[1,5,4,3,6,2]=>[1,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,4,6,2,3]=>[1,6,2,5,4,3]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,4,6,3,2]=>[1,3,6,5,4,2]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,6,2,4,3]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,6,3,2,4]=>[1,3,6,2,5,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[1,5,6,3,4,2]=>[1,4,6,3,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,5,6,4,2,3]=>[1,4,2,6,5,3]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[1,5,6,4,3,2]=>[1,3,4,6,5,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>[5,1]
[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[5,1]
[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[5,1]
[1,6,2,4,5,3]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[1,6,2,5,4,3]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[5,1]
[1,6,3,2,5,4]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[5,1]
[1,6,3,4,2,5]=>[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,6,3,4,5,2]=>[1,5,6,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[5,1]
[1,6,3,5,2,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[1,6,3,5,4,2]=>[1,4,5,6,3,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>[5,1]
[1,6,4,2,5,3]=>[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[1,6,4,3,2,5]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[5,1]
[1,6,4,3,5,2]=>[1,5,4,6,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,6,4,5,2,3]=>[1,5,2,6,4,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,6,4,5,3,2]=>[1,3,5,6,4,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[5,1]
[1,6,5,2,4,3]=>[1,4,5,2,6,3]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[5,1]
[1,6,5,3,2,4]=>[1,3,5,2,6,4]=>([(1,5),(2,4),(3,4),(3,5)],6)=>[5,1]
[1,6,5,3,4,2]=>[1,4,5,3,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[1,6,5,4,2,3]=>[1,4,2,5,6,3]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[5,1]
[1,6,5,4,3,2]=>[1,3,4,5,6,2]=>([(1,5),(2,5),(3,5),(4,5)],6)=>[5,1]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>([(4,5)],6)=>[2,1,1,1,1]
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>[3,2,1]
[2,1,3,6,4,5]=>[2,1,3,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[2,1,3,6,5,4]=>[2,1,3,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>([(2,5),(3,4)],6)=>[2,2,1,1]
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>([(0,5),(1,4),(2,3)],6)=>[2,2,2]
[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>([(1,2),(3,4),(3,5),(4,5)],6)=>[3,2,1]
[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,1,4,6,3,5]=>[2,1,6,4,3,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,1,4,6,5,3]=>[2,1,5,4,6,3]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,1,5,3,4,6]=>[2,1,5,3,4,6]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[2,1,5,3,6,4]=>[2,1,6,5,3,4]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,1,5,4,3,6]=>[2,1,4,5,3,6]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,1,5,6,3,4]=>[2,1,6,3,5,4]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,1,5,6,4,3]=>[2,1,4,6,5,3]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>[4,2]
[2,1,6,3,5,4]=>[2,1,5,6,3,4]=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>[4,2]
[2,1,6,4,3,5]=>[2,1,4,6,3,5]=>([(0,1),(2,5),(3,4),(4,5)],6)=>[4,2]
[2,1,6,4,5,3]=>[2,1,5,6,4,3]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,1,6,5,3,4]=>[2,1,5,3,6,4]=>([(0,1),(2,5),(3,4),(4,5)],6)=>[4,2]
[2,1,6,5,4,3]=>[2,1,4,5,6,3]=>([(0,1),(2,5),(3,5),(4,5)],6)=>[4,2]
[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>([(3,4),(3,5),(4,5)],6)=>[3,1,1,1]
[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>[3,2,1]
[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>([(1,2),(3,4),(3,5),(4,5)],6)=>[3,2,1]
[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>[3,3]
[2,3,1,6,4,5]=>[3,2,1,6,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>[3,3]
[2,3,1,6,5,4]=>[3,2,1,5,6,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>[3,3]
[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[2,3,4,5,6,1]=>[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]
[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,4,6,5,1]=>[5,2,3,4,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[2,3,5,1,6,4]=>[6,2,3,5,1,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,5,4,1,6]=>[4,2,3,5,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[2,3,5,4,6,1]=>[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]
[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,5,6,4,1]=>[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,6,1,5,4]=>[5,2,3,6,1,4]=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,3,6,4,1,5]=>[4,2,3,6,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[2,3,6,4,5,1]=>[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]
[2,3,6,5,1,4]=>[5,2,3,1,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[2,3,6,5,4,1]=>[4,2,3,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[2,4,1,3,6,5]=>[4,2,1,3,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,4,1,5,3,6]=>[5,2,4,1,3,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[2,4,1,5,6,3]=>[6,2,4,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[2,4,1,6,3,5]=>[6,2,4,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,1,6,5,3]=>[5,2,4,1,6,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[2,4,3,1,5,6]=>[3,2,4,1,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[2,4,3,1,6,5]=>[3,2,4,1,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[2,4,3,5,1,6]=>[5,2,4,3,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[2,4,3,5,6,1]=>[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]
[2,4,3,6,1,5]=>[6,2,4,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,3,6,5,1]=>[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]
[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[2,4,5,1,6,3]=>[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,5,3,1,6]=>[3,2,5,4,1,6]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[2,4,5,3,6,1]=>[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]
[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,5,6,3,1]=>[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[2,4,6,1,5,3]=>[5,2,6,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,6,3,1,5]=>[3,2,6,4,1,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,6,3,5,1]=>[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]
[2,4,6,5,1,3]=>[5,2,1,4,6,3]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,4,6,5,3,1]=>[3,2,5,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[2,5,1,3,6,4]=>[6,2,1,5,3,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,1,4,3,6]=>[4,2,5,1,3,6]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[2,5,1,4,6,3]=>[6,2,5,1,4,3]=>([(0,3),(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]=>[6,2,5,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,1,6,4,3]=>[4,2,6,5,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[2,5,3,1,4,6]=>[3,2,5,1,4,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[2,5,3,1,6,4]=>[3,2,6,5,1,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,3,4,1,6]=>[4,2,5,3,1,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[2,5,3,4,6,1]=>[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]
[2,5,3,6,1,4]=>[6,2,5,3,1,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,3,6,4,1]=>[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]
[2,5,4,1,3,6]=>[4,2,1,5,3,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[2,5,4,1,6,3]=>[6,2,4,5,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,4,3,1,6]=>[3,2,4,5,1,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[2,5,4,3,6,1]=>[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]
[2,5,4,6,1,3]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,5,4,6,3,1]=>[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]
[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[2,5,6,1,4,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>[6]
[2,5,6,3,1,4]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>[6]
[2,5,6,3,4,1]=>[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]
[2,5,6,4,1,3]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>[6]
[2,5,6,4,3,1]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,1,3,5,4]=>[5,2,1,6,3,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>[6]
[2,6,1,4,3,5]=>[4,2,6,1,3,5]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[2,6,1,4,5,3]=>[5,2,6,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[2,6,1,5,3,4]=>[5,2,6,1,3,4]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>[6]
[2,6,1,5,4,3]=>[4,2,5,6,1,3]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>[6]
[2,6,3,1,4,5]=>[3,2,6,1,4,5]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[2,6,3,1,5,4]=>[3,2,5,6,1,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>[6]
[2,6,3,4,1,5]=>[4,2,6,3,1,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[2,6,3,4,5,1]=>[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]
[2,6,3,5,1,4]=>[5,2,6,3,1,4]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,3,5,4,1]=>[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]
[2,6,4,1,3,5]=>[4,2,1,6,3,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>[6]
[2,6,4,1,5,3]=>[5,2,4,6,1,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,4,3,1,5]=>[3,2,4,6,1,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[2,6,4,3,5,1]=>[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]
[2,6,4,5,1,3]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,4,5,3,1]=>[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,5,1,3,4]=>[5,2,1,3,6,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[2,6,5,1,4,3]=>[4,2,5,1,6,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[2,6,5,3,1,4]=>[3,2,5,1,6,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>[6]
[2,6,5,3,4,1]=>[4,2,5,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[2,6,5,4,1,3]=>[4,2,1,5,6,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[2,6,5,4,3,1]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>([(3,5),(4,5)],6)=>[3,1,1,1]
[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[3,1,2,5,4,6]=>[3,1,2,5,4,6]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[3,1,2,5,6,4]=>[3,1,2,6,5,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>[3,3]
[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>([(0,5),(1,5),(2,4),(3,4)],6)=>[3,3]
[3,1,2,6,5,4]=>[3,1,2,5,6,4]=>([(0,5),(1,5),(2,4),(3,4)],6)=>[3,3]
[3,1,4,2,5,6]=>[4,3,1,2,5,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[3,1,4,2,6,5]=>[4,3,1,2,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[3,1,4,5,2,6]=>[5,3,1,4,2,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,1,4,5,6,2]=>[6,3,1,4,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,4,6,2,5]=>[6,3,1,4,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,4,6,5,2]=>[5,3,1,4,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,5,2,4,6]=>[5,3,1,2,4,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,1,5,2,6,4]=>[6,3,1,5,2,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,1,5,4,2,6]=>[4,3,1,5,2,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,1,5,4,6,2]=>[6,3,1,5,4,2]=>([(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]=>[6,3,1,2,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,5,6,4,2]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,2,4,5]=>[6,3,1,2,4,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,2,5,4]=>[5,3,1,6,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,4,2,5]=>[4,3,1,6,2,5]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,4,5,2]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,1,6,5,2,4]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[3,1,6,5,4,2]=>[4,3,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>([(3,5),(4,5)],6)=>[3,1,1,1]
[3,2,1,4,6,5]=>[2,3,1,4,6,5]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[3,2,1,5,4,6]=>[2,3,1,5,4,6]=>([(1,2),(3,5),(4,5)],6)=>[3,2,1]
[3,2,1,5,6,4]=>[2,3,1,6,5,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>[3,3]
[3,2,1,6,4,5]=>[2,3,1,6,4,5]=>([(0,5),(1,5),(2,4),(3,4)],6)=>[3,3]
[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>([(0,5),(1,5),(2,4),(3,4)],6)=>[3,3]
[3,2,4,1,5,6]=>[4,3,2,1,5,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[3,2,4,1,6,5]=>[4,3,2,1,6,5]=>([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[3,2,4,5,1,6]=>[5,3,2,4,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,2,4,5,6,1]=>[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]
[3,2,4,6,1,5]=>[6,3,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,4,6,5,1]=>[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]
[3,2,5,1,4,6]=>[5,3,2,1,4,6]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,2,5,1,6,4]=>[6,3,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,5,4,1,6]=>[4,3,2,5,1,6]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,2,5,4,6,1]=>[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]
[3,2,5,6,1,4]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,5,6,4,1]=>[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]
[3,2,6,1,4,5]=>[6,3,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,6,1,5,4]=>[5,3,2,6,1,4]=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,6,4,1,5]=>[4,3,2,6,1,5]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,6,4,5,1]=>[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]
[3,2,6,5,1,4]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,2,6,5,4,1]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[3,4,1,2,6,5]=>[4,1,3,2,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[3,4,1,5,2,6]=>[5,4,3,1,2,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,4,1,5,6,2]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,1,6,2,5]=>[6,4,3,1,2,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,1,6,5,2]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,2,1,5,6]=>[2,4,3,1,5,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[3,4,2,1,6,5]=>[2,4,3,1,6,5]=>([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[3,4,2,5,1,6]=>[5,4,3,2,1,6]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,4,2,5,6,1]=>[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]
[3,4,2,6,1,5]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,2,6,5,1]=>[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]
[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,4,5,1,6,2]=>[6,5,3,4,1,2]=>([(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]
[3,4,5,2,1,6]=>[2,5,3,4,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,4,5,2,6,1]=>[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]
[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,5,6,2,1]=>[2,6,3,4,5,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,6,1,5,2]=>[5,6,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[3,4,6,2,1,5]=>[2,6,3,4,1,5]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,6,2,5,1]=>[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]
[3,4,6,5,1,2]=>[5,1,3,4,6,2]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,4,6,5,2,1]=>[2,5,3,4,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,5,1,2,6,4]=>[6,1,3,5,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,1,4,2,6]=>[4,5,3,1,2,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[5,1]
[3,5,1,4,6,2]=>[6,5,3,1,4,2]=>([(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]
[3,5,1,6,2,4]=>[6,5,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,1,6,4,2]=>[4,6,3,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[3,5,2,1,4,6]=>[2,5,3,1,4,6]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,5,2,1,6,4]=>[2,6,3,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,2,4,1,6]=>[4,5,3,2,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,5,2,4,6,1]=>[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]
[3,5,2,6,1,4]=>[6,5,3,2,1,4]=>([(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]
[3,5,2,6,4,1]=>[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]
[3,5,4,1,2,6]=>[4,1,3,5,2,6]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,5,4,1,6,2]=>[6,4,3,5,1,2]=>([(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]
[3,5,4,2,1,6]=>[2,4,3,5,1,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[3,5,4,2,6,1]=>[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]
[3,5,4,6,1,2]=>[6,1,3,5,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,4,6,2,1]=>[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]
[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[3,5,6,1,4,2]=>[4,6,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,6,2,1,4]=>[2,6,3,1,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,6,2,4,1]=>[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]
[3,5,6,4,1,2]=>[4,1,3,6,5,2]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,5,6,4,2,1]=>[2,4,3,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,1,2,5,4]=>[5,1,3,6,2,4]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,1,4,2,5]=>[4,6,3,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,1,4,5,2]=>[5,6,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[3,6,1,5,2,4]=>[5,6,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[3,6,1,5,4,2]=>[4,5,3,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[3,6,2,1,4,5]=>[2,6,3,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,2,1,5,4]=>[2,5,3,6,1,4]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,2,4,1,5]=>[4,6,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,2,4,5,1]=>[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]
[3,6,2,5,1,4]=>[5,6,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[3,6,2,5,4,1]=>[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]
[3,6,4,1,2,5]=>[4,1,3,6,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,4,1,5,2]=>[5,4,3,6,1,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[3,6,4,2,1,5]=>[2,4,3,6,1,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,4,2,5,1]=>[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]
[3,6,4,5,1,2]=>[5,1,3,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,4,5,2,1]=>[2,5,3,6,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,5,1,2,4]=>[5,1,3,2,6,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[3,6,5,1,4,2]=>[4,5,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,5,2,1,4]=>[2,5,3,1,6,4]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,5,2,4,1]=>[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]
[3,6,5,4,1,2]=>[4,1,3,5,6,2]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[3,6,5,4,2,1]=>[2,4,3,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>([(2,5),(3,5),(4,5)],6)=>[4,1,1]
[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>[4,2]
[4,1,2,5,3,6]=>[5,1,4,2,3,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,1,2,5,6,3]=>[6,1,4,2,5,3]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,2,6,3,5]=>[6,1,4,2,3,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,2,6,5,3]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,3,2,5,6]=>[3,4,1,2,5,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>[4,1,1]
[4,1,3,2,6,5]=>[3,4,1,2,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>[4,2]
[4,1,3,5,2,6]=>[5,4,1,3,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,1,3,5,6,2]=>[6,4,1,3,5,2]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,3,6,2,5]=>[6,4,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,3,6,5,2]=>[5,4,1,3,6,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,5,2,3,6]=>[5,4,1,2,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,1,5,2,6,3]=>[6,5,4,1,2,3]=>([(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]
[4,1,5,3,2,6]=>[3,5,4,1,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[4,1,5,3,6,2]=>[6,5,4,1,3,2]=>([(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]
[4,1,5,6,2,3]=>[6,4,1,2,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,5,6,3,2]=>[3,6,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,6,2,3,5]=>[6,4,1,2,3,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,6,2,5,3]=>[5,6,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,1,6,3,2,5]=>[3,6,4,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,1,6,3,5,2]=>[5,6,4,1,3,2]=>([(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]
[4,1,6,5,2,3]=>[5,4,1,2,6,3]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,1,6,5,3,2]=>[3,5,4,1,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>([(2,5),(3,4),(4,5)],6)=>[4,1,1]
[4,2,1,3,6,5]=>[2,4,1,3,6,5]=>([(0,1),(2,5),(3,4),(4,5)],6)=>[4,2]
[4,2,1,5,3,6]=>[2,5,4,1,3,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,2,1,5,6,3]=>[2,6,4,1,5,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,2,1,6,3,5]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,1,6,5,3]=>[2,5,4,1,6,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[4,2,3,1,5,6]=>[3,4,2,1,5,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,1,1]
[4,2,3,1,6,5]=>[3,4,2,1,6,5]=>([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[4,2]
[4,2,3,5,1,6]=>[5,4,2,3,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,2,3,5,6,1]=>[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]
[4,2,3,6,1,5]=>[6,4,2,3,1,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,3,6,5,1]=>[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]
[4,2,5,1,3,6]=>[5,4,2,1,3,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,2,5,1,6,3]=>[6,5,4,2,1,3]=>([(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]=>[3,5,4,2,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,2,5,3,6,1]=>[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]
[4,2,5,6,1,3]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,5,6,3,1]=>[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]
[4,2,6,1,3,5]=>[6,4,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,6,1,5,3]=>[5,6,4,2,1,3]=>([(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]=>[3,6,4,2,1,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,6,3,5,1]=>[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]
[4,2,6,5,1,3]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,2,6,5,3,1]=>[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]
[4,3,1,2,5,6]=>[3,1,4,2,5,6]=>([(2,5),(3,4),(4,5)],6)=>[4,1,1]
[4,3,1,2,6,5]=>[3,1,4,2,6,5]=>([(0,1),(2,5),(3,4),(4,5)],6)=>[4,2]
[4,3,1,5,2,6]=>[5,3,4,1,2,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[5,1]
[4,3,1,5,6,2]=>[6,3,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,1,6,2,5]=>[6,3,4,1,2,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,3,1,6,5,2]=>[5,3,4,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,2,1,5,6]=>[2,3,4,1,5,6]=>([(2,5),(3,5),(4,5)],6)=>[4,1,1]
[4,3,2,1,6,5]=>[2,3,4,1,6,5]=>([(0,1),(2,5),(3,5),(4,5)],6)=>[4,2]
[4,3,2,5,1,6]=>[5,3,4,2,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,3,2,5,6,1]=>[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]
[4,3,2,6,1,5]=>[6,3,4,2,1,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,2,6,5,1]=>[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]
[4,3,5,1,2,6]=>[5,1,4,3,2,6]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,3,5,1,6,2]=>[6,5,4,3,1,2]=>([(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]
[4,3,5,2,1,6]=>[2,5,4,3,1,6]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,3,5,2,6,1]=>[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]
[4,3,5,6,1,2]=>[6,1,4,3,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,5,6,2,1]=>[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]
[4,3,6,1,2,5]=>[6,1,4,3,2,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,6,1,5,2]=>[5,6,4,3,1,2]=>([(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]
[4,3,6,2,1,5]=>[2,6,4,3,1,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,6,2,5,1]=>[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]
[4,3,6,5,1,2]=>[5,1,4,3,6,2]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,5,1,2,6,3]=>[6,1,5,4,2,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,1,3,2,6]=>[3,5,1,4,2,6]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,5,1,3,6,2]=>[6,5,1,4,3,2]=>([(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]
[4,5,1,6,2,3]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,1,6,3,2]=>[3,6,5,4,1,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[4,5,2,1,3,6]=>[2,5,1,4,3,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[4,5,2,1,6,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,2,3,1,6]=>[3,5,2,4,1,6]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,5,2,3,6,1]=>[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]
[4,5,2,6,1,3]=>[6,5,2,4,1,3]=>([(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]
[4,5,2,6,3,1]=>[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]
[4,5,3,1,2,6]=>[3,1,5,4,2,6]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[5,1]
[4,5,3,1,6,2]=>[6,3,5,4,1,2]=>([(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]
[4,5,3,2,1,6]=>[2,3,5,4,1,6]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[4,5,3,2,6,1]=>[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]
[4,5,3,6,1,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,3,6,2,1]=>[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]
[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,6,1,3,2]=>[3,6,1,4,5,2]=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,5,6,2,1,3]=>[2,6,1,4,5,3]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,5,6,2,3,1]=>[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]
[4,5,6,3,1,2]=>[3,1,6,4,5,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[4,5,6,3,2,1]=>[2,3,6,4,5,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,1,2,5,3]=>[5,1,6,4,2,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,1,3,2,5]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,1,3,5,2]=>[5,6,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[4,6,1,5,2,3]=>[5,6,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[4,6,1,5,3,2]=>[3,5,6,4,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[4,6,2,1,3,5]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[4,6,2,1,5,3]=>[2,5,6,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,2,3,1,5]=>[3,6,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,2,3,5,1]=>[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]
[4,6,2,5,1,3]=>[5,6,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[4,6,2,5,3,1]=>[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]
[4,6,3,1,2,5]=>[3,1,6,4,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,3,1,5,2]=>[5,3,6,4,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[4,6,3,2,1,5]=>[2,3,6,4,1,5]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,3,2,5,1]=>[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]
[4,6,3,5,1,2]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,3,5,2,1]=>[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]
[4,6,5,1,2,3]=>[5,1,2,4,6,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,5,1,3,2]=>[3,5,1,4,6,2]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,5,2,1,3]=>[2,5,1,4,6,3]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,5,2,3,1]=>[3,5,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[4,6,5,3,1,2]=>[3,1,5,4,6,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>([(1,5),(2,5),(3,5),(4,5)],6)=>[5,1]
[5,1,2,3,6,4]=>[6,1,2,5,3,4]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,2,4,3,6]=>[4,1,5,2,3,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[5,1]
[5,1,2,4,6,3]=>[6,1,5,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,2,6,3,4]=>[6,1,5,2,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,2,6,4,3]=>[4,1,6,5,2,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[5,1,3,2,4,6]=>[3,5,1,2,4,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[5,1]
[5,1,3,2,6,4]=>[3,6,1,5,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,3,4,2,6]=>[4,5,1,3,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[5,1,3,4,6,2]=>[6,5,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,3,6,2,4]=>[6,5,1,3,2,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,3,6,4,2]=>[4,6,1,5,3,2]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,4,2,3,6]=>[4,5,1,2,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[5,1,4,2,6,3]=>[6,4,5,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[5,1,4,3,2,6]=>[3,4,5,1,2,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[5,1,4,3,6,2]=>[6,4,5,1,3,2]=>([(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]
[5,1,4,6,2,3]=>[6,5,1,2,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,4,6,3,2]=>[3,6,5,1,4,2]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,2,3,4]=>[6,5,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,2,4,3]=>[4,6,5,1,2,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,3,2,4]=>[3,6,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,3,4,2]=>[4,6,5,1,3,2]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,1,6,4,2,3]=>[4,6,1,5,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[5,1,6,4,3,2]=>[3,4,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[5,1]
[5,2,1,3,6,4]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[5,2,1,4,3,6]=>[2,4,5,1,3,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[5,1]
[5,2,1,4,6,3]=>[2,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,1,6,3,4]=>[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,1,6,4,3]=>[2,4,6,5,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[5,2,3,1,4,6]=>[3,5,2,1,4,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[5,2,3,1,6,4]=>[3,6,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,3,4,1,6]=>[4,5,2,3,1,6]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[5,1]
[5,2,3,4,6,1]=>[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]
[5,2,3,6,1,4]=>[6,5,2,3,1,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,3,6,4,1]=>[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]
[5,2,4,1,3,6]=>[4,5,2,1,3,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[5,2,4,1,6,3]=>[6,4,5,2,1,3]=>([(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]
[5,2,4,3,1,6]=>[3,4,5,2,1,6]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[5,2,4,3,6,1]=>[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]
[5,2,4,6,1,3]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,4,6,3,1]=>[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]
[5,2,6,1,3,4]=>[6,5,2,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,6,1,4,3]=>[4,6,5,2,1,3]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,6,3,1,4]=>[3,6,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,6,3,4,1]=>[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]
[5,2,6,4,1,3]=>[4,6,2,5,1,3]=>([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,2,6,4,3,1]=>[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]
[5,3,1,2,4,6]=>[3,1,5,2,4,6]=>([(1,5),(2,4),(3,4),(3,5)],6)=>[5,1]
[5,3,1,2,6,4]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,1,4,2,6]=>[4,3,5,1,2,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[5,1]
[5,3,1,4,6,2]=>[6,3,5,1,4,2]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,1,6,2,4]=>[6,3,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,1,6,4,2]=>[4,3,6,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[5,3,2,1,4,6]=>[2,3,5,1,4,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[5,1]
[5,3,2,1,6,4]=>[2,3,6,5,1,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,2,4,1,6]=>[4,3,5,2,1,6]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[5,3,2,4,6,1]=>[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]
[5,3,2,6,1,4]=>[6,3,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,2,6,4,1]=>[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]
[5,3,4,1,2,6]=>[4,1,5,3,2,6]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[5,1]
[5,3,4,1,6,2]=>[6,4,5,3,1,2]=>([(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]
[5,3,4,2,1,6]=>[2,4,5,3,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[5,3,4,2,6,1]=>[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]
[5,3,4,6,1,2]=>[6,1,5,3,4,2]=>([(0,5),(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]=>[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]
[5,3,6,1,2,4]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,6,1,4,2]=>[4,6,5,3,1,2]=>([(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]
[5,3,6,2,1,4]=>[2,6,5,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,6,2,4,1]=>[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]
[5,3,6,4,1,2]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,3,6,4,2,1]=>[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]
[5,4,1,2,3,6]=>[4,1,2,5,3,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[5,1]
[5,4,1,2,6,3]=>[6,1,4,5,2,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[5,4,1,3,2,6]=>[3,4,1,5,2,6]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[5,1]
[5,4,1,3,6,2]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,1,6,2,3]=>[6,4,1,5,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,1,6,3,2]=>[3,6,4,5,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[5,4,2,1,3,6]=>[2,4,1,5,3,6]=>([(1,5),(2,4),(3,4),(3,5)],6)=>[5,1]
[5,4,2,1,6,3]=>[2,6,4,5,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,2,3,1,6]=>[3,4,2,5,1,6]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[5,1]
[5,4,2,3,6,1]=>[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]
[5,4,2,6,1,3]=>[6,4,2,5,1,3]=>([(0,1),(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]=>[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]
[5,4,3,1,2,6]=>[3,1,4,5,2,6]=>([(1,5),(2,5),(3,4),(4,5)],6)=>[5,1]
[5,4,3,1,6,2]=>[6,3,4,5,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[5,4,3,2,1,6]=>[2,3,4,5,1,6]=>([(1,5),(2,5),(3,5),(4,5)],6)=>[5,1]
[5,4,3,2,6,1]=>[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]
[5,4,3,6,1,2]=>[6,1,4,5,3,2]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,3,6,2,1]=>[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]
[5,4,6,1,2,3]=>[6,1,2,5,4,3]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,6,1,3,2]=>[3,6,1,5,4,2]=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,6,2,1,3]=>[2,6,1,5,4,3]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,6,2,3,1]=>[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]
[5,4,6,3,1,2]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,1,2,4,3]=>[4,1,6,2,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[5,6,1,3,2,4]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>[6]
[5,6,1,3,4,2]=>[4,6,1,3,5,2]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,1,4,2,3]=>[4,6,1,2,5,3]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>[6]
[5,6,1,4,3,2]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>[6]
[5,6,2,1,3,4]=>[2,6,1,3,5,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,6,2,1,4,3]=>[2,4,6,1,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[5,6,2,3,1,4]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,2,3,4,1]=>[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]
[5,6,2,4,1,3]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,6,2,4,3,1]=>[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]
[5,6,3,1,2,4]=>[3,1,6,2,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>[6]
[5,6,3,1,4,2]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,6,3,2,1,4]=>[2,3,6,1,5,4]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,6,3,2,4,1]=>[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]
[5,6,3,4,1,2]=>[4,1,6,3,5,2]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,4,1,2,3]=>[4,1,2,6,5,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,6,4,1,3,2]=>[3,4,1,6,5,2]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>[6]
[5,6,4,2,1,3]=>[2,4,1,6,5,3]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>[6]
[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[5,6,4,3,1,2]=>[3,1,4,6,5,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>[6]
[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>[6]
[6,1,2,3,5,4]=>[5,1,2,6,3,4]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,1,2,4,3,5]=>[4,1,6,2,3,5]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,2,4,5,3]=>[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,2,5,3,4]=>[5,1,6,2,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,2,5,4,3]=>[4,1,5,6,2,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,1,3,2,4,5]=>[3,6,1,2,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,1,3,2,5,4]=>[3,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>[6]
[6,1,3,4,2,5]=>[4,6,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,3,4,5,2]=>[5,6,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,3,5,2,4]=>[5,6,1,3,2,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,3,5,4,2]=>[4,5,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,4,2,3,5]=>[4,6,1,2,3,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,4,2,5,3]=>[5,4,6,1,2,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,4,3,2,5]=>[3,4,6,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,1,4,3,5,2]=>[5,4,6,1,3,2]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,4,5,2,3]=>[5,6,1,2,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,4,5,3,2]=>[3,5,6,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,5,2,3,4]=>[5,6,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,5,2,4,3]=>[4,5,6,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>[6]
[6,1,5,3,2,4]=>[3,5,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,5,3,4,2]=>[4,5,6,1,3,2]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,1,5,4,2,3]=>[4,5,1,6,2,3]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,1,5,4,3,2]=>[3,4,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[6]
[6,2,1,3,5,4]=>[2,5,1,6,3,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>[6]
[6,2,1,4,3,5]=>[2,4,6,1,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,2,1,4,5,3]=>[2,5,6,1,4,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,2,1,5,3,4]=>[2,5,6,1,3,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,2,1,5,4,3]=>[2,4,5,6,1,3]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,2,3,1,4,5]=>[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,3,1,5,4]=>[3,5,2,6,1,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,3,4,1,5]=>[4,6,2,3,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,3,4,5,1]=>[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]
[6,2,3,5,1,4]=>[5,6,2,3,1,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,2,3,5,4,1]=>[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]
[6,2,4,1,3,5]=>[4,6,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,2,4,1,5,3]=>[5,4,6,2,1,3]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,4,3,1,5]=>[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,4,3,5,1]=>[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]
[6,2,4,5,1,3]=>[5,6,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,2,4,5,3,1]=>[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]
[6,2,5,1,3,4]=>[5,6,2,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,2,5,1,4,3]=>[4,5,6,2,1,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,5,3,1,4]=>[3,5,6,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,2,5,3,4,1]=>[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]
[6,2,5,4,1,3]=>[4,5,2,6,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,2,5,4,3,1]=>[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]
[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>[6]
[6,3,1,2,5,4]=>[3,1,5,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>[6]
[6,3,1,4,2,5]=>[4,3,6,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,3,1,4,5,2]=>[5,3,6,1,4,2]=>([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,1,5,2,4]=>[5,3,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,3,1,5,4,2]=>[4,3,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,3,2,1,4,5]=>[2,3,6,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>[6]
[6,3,2,1,5,4]=>[2,3,5,6,1,4]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,3,2,4,1,5]=>[4,3,6,2,1,5]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,2,4,5,1]=>[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]
[6,3,2,5,1,4]=>[5,3,6,2,1,4]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,2,5,4,1]=>[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]
[6,3,4,1,2,5]=>[4,1,6,3,2,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,3,4,1,5,2]=>[5,4,6,3,1,2]=>([(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]
[6,3,4,2,1,5]=>[2,4,6,3,1,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,4,2,5,1]=>[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]
[6,3,4,5,1,2]=>[5,1,6,3,4,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,4,5,2,1]=>[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]
[6,3,5,1,2,4]=>[5,1,6,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,3,5,1,4,2]=>[4,5,6,3,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[6,3,5,2,1,4]=>[2,5,6,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[6,3,5,2,4,1]=>[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]
[6,3,5,4,1,2]=>[4,1,5,6,3,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,3,5,4,2,1]=>[2,4,5,6,3,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,1,2,3,5]=>[4,1,2,6,3,5]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>[6]
[6,4,1,2,5,3]=>[5,1,4,6,2,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[6,4,1,3,2,5]=>[3,4,1,6,2,5]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>[6]
[6,4,1,3,5,2]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,1,5,2,3]=>[5,4,1,6,2,3]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,1,5,3,2]=>[3,5,4,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,4,2,1,3,5]=>[2,4,1,6,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>[6]
[6,4,2,1,5,3]=>[2,5,4,6,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,4,2,3,1,5]=>[3,4,2,6,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[6,4,2,3,5,1]=>[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]
[6,4,2,5,1,3]=>[5,4,2,6,1,3]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,2,5,3,1]=>[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]
[6,4,3,1,2,5]=>[3,1,4,6,2,5]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>[6]
[6,4,3,1,5,2]=>[5,3,4,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,4,3,2,1,5]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[6]
[6,4,3,2,5,1]=>[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]
[6,4,3,5,1,2]=>[5,1,4,6,3,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,3,5,2,1]=>[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]
[6,4,5,1,2,3]=>[5,1,2,6,4,3]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,5,1,3,2]=>[3,5,1,6,4,2]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,5,2,1,3]=>[2,5,1,6,4,3]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>[6]
[6,4,5,2,3,1]=>[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]
[6,4,5,3,1,2]=>[3,1,5,6,4,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,1,2,3,4]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[6]
[6,5,1,2,4,3]=>[4,1,5,2,6,3]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,5,1,3,2,4]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>[6]
[6,5,1,3,4,2]=>[4,5,1,3,6,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>[6]
[6,5,1,4,2,3]=>[4,5,1,2,6,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,5,1,4,3,2]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,5,2,1,3,4]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>[6]
[6,5,2,1,4,3]=>[2,4,5,1,6,3]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,5,2,3,1,4]=>[3,5,2,1,6,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,2,3,4,1]=>[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]
[6,5,2,4,1,3]=>[4,5,2,1,6,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,5,2,4,3,1]=>[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,3,1,2,4]=>[3,1,5,2,6,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>[6]
[6,5,3,1,4,2]=>[4,3,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>[6]
[6,5,3,2,1,4]=>[2,3,5,1,6,4]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>[6]
[6,5,3,2,4,1]=>[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]
[6,5,3,4,1,2]=>[4,1,5,3,6,2]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,4,1,2,3]=>[4,1,2,5,6,3]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>[6]
[6,5,4,1,3,2]=>[3,4,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>[6]
[6,5,4,2,1,3]=>[2,4,1,5,6,3]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>[6]
[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>[6]
[6,5,4,3,1,2]=>[3,1,4,5,6,2]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>[6]
[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>[6]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>[1,1,1,1,1,1,1]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>[2,1,1,1,1,1]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>[2,1,1,1,1,1]
[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>([(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>[2,1,1,1,1,1]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,2,3,6,4,7,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>([(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,3,7,4,6,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1,1]
[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>([(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>([(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>([(3,6),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>[2,1,1,1,1,1]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,4,6,3,7,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,7,3,6,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,7,5,6,3]=>[1,2,6,4,7,5,3]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,2,5,3,6,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,5,3,6,7,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,3,7,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,3,7,6,4]=>[1,2,6,5,3,7,4]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>([(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,5,6,3,7,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,7,3,6,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,6,3,4,7,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,3,5,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1,1]
[1,2,6,3,5,7,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,3,7,4,5]=>[1,2,7,6,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,3,7,5,4]=>[1,2,5,7,6,3,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>([(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[1,2,6,4,3,7,5]=>[1,2,4,7,6,3,5]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,6,4,5,7,3]=>[1,2,7,6,4,5,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,4,7,3,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,4,7,5,3]=>[1,2,5,7,6,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>([(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[1,2,6,5,3,7,4]=>[1,2,7,5,6,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>([(3,6),(4,6),(5,6)],7)=>[4,1,1,1]
[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,7,3,5,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,7,4,5,3]=>[1,2,5,7,4,6,3]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,3,4,6,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,3,5,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,3,5,6,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,2,7,3,6,4,5]=>[1,2,6,7,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,2,7,3,6,5,4]=>[1,2,5,6,7,3,4]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[1,2,7,4,3,6,5]=>[1,2,4,6,7,3,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,4,5,6,3]=>[1,2,6,7,4,5,3]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,4,6,3,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,2,7,4,6,5,3]=>[1,2,5,6,7,4,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>([(2,6),(3,5),(4,5),(4,6)],7)=>[5,1,1]
[1,2,7,5,3,6,4]=>[1,2,6,5,7,3,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,5,6,4,3]=>[1,2,4,6,7,5,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[1,2,7,6,3,5,4]=>[1,2,5,6,3,7,4]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>([(2,6),(3,5),(4,5),(4,6)],7)=>[5,1,1]
[1,2,7,6,4,5,3]=>[1,2,5,6,4,7,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]=>([(2,6),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>[2,1,1,1,1,1]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,3,2,6,4,7,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[1,3,2,7,4,6,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>[4,2,1]
[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>[3,3,1]
[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,3,4,6,2,7,5]=>[1,7,3,4,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,4,7,2,6,5]=>[1,6,3,4,7,2,5]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,4,7,5,2,6]=>[1,5,3,4,7,2,6]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,4,7,5,6,2]=>[1,6,3,4,7,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,5,2,6,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,3,5,2,6,7,4]=>[1,7,3,5,2,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,5,2,7,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,2,7,6,4]=>[1,6,3,5,2,7,4]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,4,7,6,2]=>[1,6,3,5,4,7,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,3,5,6,2,7,4]=>[1,7,3,6,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,5,7,2,6,4]=>[1,6,3,7,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,7,4,6,2]=>[1,6,3,7,5,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,7,6,2,4]=>[1,6,3,2,5,7,4]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,3,6,2,4,7,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,2,5,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,3,6,2,5,7,4]=>[1,7,3,6,2,5,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,2,7,4,5]=>[1,7,3,6,2,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,2,7,5,4]=>[1,5,3,7,6,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,3,6,4,2,7,5]=>[1,4,3,7,6,2,5]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,4,5,2,7]=>[1,5,3,6,4,2,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,3,6,4,5,7,2]=>[1,7,3,6,4,5,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,4,7,2,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,4,7,5,2]=>[1,5,3,7,6,4,2]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,3,6,5,2,7,4]=>[1,7,3,5,6,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,3,6,5,4,7,2]=>[1,7,3,5,6,4,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,5,7,2,4]=>[1,7,3,2,6,5,4]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,6,7,2,5,4]=>[1,5,3,7,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>[6,1]
[1,3,6,7,4,2,5]=>[1,4,3,7,2,6,5]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[6,1]
[1,3,6,7,4,5,2]=>[1,5,3,7,4,6,2]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,6,7,5,2,4]=>[1,5,3,2,7,6,4]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[6,1]
[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,7,2,4,6,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,7,2,5,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,3,7,2,5,6,4]=>[1,6,3,7,2,5,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,7,2,6,4,5]=>[1,6,3,7,2,4,5]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[6,1]
[1,3,7,2,6,5,4]=>[1,5,3,6,7,2,4]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[6,1]
[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,7,4,2,6,5]=>[1,4,3,6,7,2,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,7,4,5,2,6]=>[1,5,3,7,4,2,6]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,7,4,5,6,2]=>[1,6,3,7,4,5,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,7,4,6,2,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,7,4,6,5,2]=>[1,5,3,6,7,4,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,3,7,5,2,6,4]=>[1,6,3,5,7,2,4]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,7,5,4,2,6]=>[1,4,3,5,7,2,6]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,7,5,4,6,2]=>[1,6,3,5,7,4,2]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,7,5,6,2,4]=>[1,6,3,2,7,5,4]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,7,5,6,4,2]=>[1,4,3,6,7,5,2]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,7,6,2,5,4]=>[1,5,3,6,2,7,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,3,7,6,4,2,5]=>[1,4,3,6,2,7,5]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,3,7,6,4,5,2]=>[1,5,3,6,4,7,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[1,4,2,5,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,4,2,5,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,4,2,5,6,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,2,5,6,7,3]=>[1,7,4,2,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,5,7,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,5,7,6,3]=>[1,6,4,2,5,7,3]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,6,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,2,6,3,7,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,4,2,6,5,3,7]=>[1,5,4,2,6,3,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,2,6,5,7,3]=>[1,7,4,2,6,5,3]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,6,7,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,6,7,5,3]=>[1,5,4,2,7,6,3]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,7,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,7,3,6,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,7,5,3,6]=>[1,5,4,2,7,3,6]=>([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,7,5,6,3]=>[1,6,4,2,7,5,3]=>([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,2,7,6,3,5]=>[1,6,4,2,3,7,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,4,2,7,6,5,3]=>[1,5,4,2,6,7,3]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>([(4,6),(5,6)],7)=>[3,1,1,1,1]
[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,5,7,6,2]=>[1,6,4,3,5,7,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,3,6,2,7,5]=>[1,7,4,3,6,2,5]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,6,7,2,5]=>[1,7,4,3,2,6,5]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,6,7,5,2]=>[1,5,4,3,7,6,2]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,7,2,6,5]=>[1,6,4,3,7,2,5]=>([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6]=>([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,7,5,6,2]=>[1,6,4,3,7,5,2]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,7,6,2,5]=>[1,6,4,3,2,7,5]=>([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,4,5,2,6,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,5,2,6,7,3]=>[1,7,5,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,2,7,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,2,7,6,3]=>[1,6,5,4,2,7,3]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,3,7,2,6]=>[1,7,5,4,3,2,6]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,3,7,6,2]=>[1,6,5,4,3,7,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,5,6,2,7,3]=>[1,7,6,4,5,2,3]=>([(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)=>[6,1]
[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,7,2,6,3]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,4,5,7,3,2,6]=>[1,3,7,4,5,2,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,7,3,6,2]=>[1,6,7,4,5,3,2]=>([(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)=>[6,1]
[1,4,5,7,6,2,3]=>[1,6,2,4,5,7,3]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,6,2,3,7,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,2,5,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,4,6,2,5,7,3]=>[1,7,6,4,2,5,3]=>([(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)=>[6,1]
[1,4,6,2,7,3,5]=>[1,7,6,4,2,3,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,2,7,5,3]=>[1,5,7,4,6,2,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,6,3,2,7,5]=>[1,3,7,4,6,2,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,6,3,5,7,2]=>[1,7,6,4,3,5,2]=>([(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)=>[6,1]
[1,4,6,3,7,2,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,3,7,5,2]=>[1,5,7,4,6,3,2]=>([(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)=>[6,1]
[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,6,5,2,7,3]=>[1,7,5,4,6,2,3]=>([(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)=>[6,1]
[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,4,6,5,3,7,2]=>[1,7,5,4,6,3,2]=>([(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)=>[6,1]
[1,4,6,5,7,2,3]=>[1,7,2,4,6,5,3]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,5,7,3,2]=>[1,3,7,4,6,5,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,4,6,7,2,5,3]=>[1,5,7,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,7,3,2,5]=>[1,3,7,4,2,6,5]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,7,3,5,2]=>[1,5,7,4,3,6,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,7,5,2,3]=>[1,5,2,4,7,6,3]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,2,3,6,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,2,5,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,2,5,6,3]=>[1,6,7,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,4,7,2,6,3,5]=>[1,6,7,4,2,3,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,4,7,2,6,5,3]=>[1,5,6,4,7,2,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,3,2,6,5]=>[1,3,6,4,7,2,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,3,5,2,6]=>[1,5,7,4,3,2,6]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,3,5,6,2]=>[1,6,7,4,3,5,2]=>([(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)=>[6,1]
[1,4,7,3,6,2,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,4,7,3,6,5,2]=>[1,5,6,4,7,3,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,5,2,6,3]=>[1,6,5,4,7,2,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,4,7,5,3,2,6]=>[1,3,5,4,7,2,6]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,4,7,5,3,6,2]=>[1,6,5,4,7,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,5,6,2,3]=>[1,6,2,4,7,5,3]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,5,6,3,2]=>[1,3,6,4,7,5,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,4,7,6,2,5,3]=>[1,5,6,4,2,7,3]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5]=>([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,6,3,5,2]=>[1,5,6,4,3,7,2]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,6,5,2,3]=>[1,5,2,4,6,7,3]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)=>[4,1,1,1]
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[1,5,2,3,6,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,2,3,6,7,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,3,7,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,3,7,6,4]=>[1,6,2,5,3,7,4]=>([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,4,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1,1]
[1,5,2,4,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>[4,2,1]
[1,5,2,4,6,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,2,4,6,7,3]=>[1,7,5,2,4,6,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,4,7,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,4,7,6,3]=>[1,6,5,2,4,7,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,6,3,4,7]=>[1,6,5,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,2,6,3,7,4]=>[1,7,6,5,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,6,4,3,7]=>[1,4,6,5,2,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,5,2,6,4,7,3]=>[1,7,6,5,2,4,3]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,6,7,3,4]=>[1,7,5,2,3,6,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,6,7,4,3]=>[1,4,7,5,2,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,7,3,4,6]=>[1,7,5,2,3,4,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,7,3,6,4]=>[1,6,7,5,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,5,2,7,4,3,6]=>[1,4,7,5,2,3,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,5,2,7,4,6,3]=>[1,6,7,5,2,4,3]=>([(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)=>[6,1]
[1,5,2,7,6,3,4]=>[1,6,5,2,3,7,4]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,2,7,6,4,3]=>[1,4,6,5,2,7,3]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>([(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[1,5,3,2,6,4,7]=>[1,3,6,5,2,4,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,3,2,6,7,4]=>[1,3,7,5,2,6,4]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,5,3,2,7,4,6]=>[1,3,7,5,2,4,6]=>([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,2,7,6,4]=>[1,3,6,5,2,7,4]=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[1,5,3,4,6,2,7]=>[1,6,5,3,4,2,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,3,4,6,7,2]=>[1,7,5,3,4,6,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,4,7,2,6]=>[1,7,5,3,4,2,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,4,7,6,2]=>[1,6,5,3,4,7,2]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,6,2,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,3,6,2,7,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,6,4,2,7]=>[1,4,6,5,3,2,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,3,6,4,7,2]=>[1,7,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,6,7,2,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,6,7,4,2]=>[1,4,7,5,3,6,2]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,7,2,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,7,2,6,4]=>[1,6,7,5,3,2,4]=>([(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)=>[6,1]
[1,5,3,7,4,2,6]=>[1,4,7,5,3,2,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,7,4,6,2]=>[1,6,7,5,3,4,2]=>([(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)=>[6,1]
[1,5,3,7,6,2,4]=>[1,6,5,3,2,7,4]=>([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,3,7,6,4,2]=>[1,4,6,5,3,7,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>([(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[1,5,4,2,6,3,7]=>[1,6,4,5,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,5,4,2,6,7,3]=>[1,7,4,5,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,2,7,3,6]=>[1,7,4,5,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,5,4,2,7,6,3]=>[1,6,4,5,2,7,3]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>([(3,6),(4,6),(5,6)],7)=>[4,1,1,1]
[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,3,7,2,6]=>[1,7,4,5,3,2,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,3,7,6,2]=>[1,6,4,5,3,7,2]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,4,6,2,7,3]=>[1,7,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,6,7,2,3]=>[1,7,2,5,4,6,3]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,6,7,3,2]=>[1,3,7,5,4,6,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,7,2,6,3]=>[1,6,7,5,4,2,3]=>([(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)=>[6,1]
[1,5,4,7,3,2,6]=>[1,3,7,5,4,2,6]=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,7,3,6,2]=>[1,6,7,5,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,7,6,2,3]=>[1,6,2,5,4,7,3]=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,4,7,6,3,2]=>[1,3,6,5,4,7,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,6,2,3,7,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,6,2,4,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,6,2,4,7,3]=>[1,7,6,2,5,4,3]=>([(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)=>[6,1]
[1,5,6,2,7,3,4]=>[1,7,6,2,5,3,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,6,2,7,4,3]=>[1,4,7,6,5,2,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,5,6,3,2,7,4]=>[1,3,7,6,5,2,4]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,6,3,4,2,7]=>[1,4,6,3,5,2,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,6,3,4,7,2]=>[1,7,6,3,5,4,2]=>([(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)=>[6,1]
[1,5,6,3,7,2,4]=>[1,7,6,3,5,2,4]=>([(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)=>[6,1]
[1,5,6,3,7,4,2]=>[1,4,7,6,5,3,2]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,5,6,4,2,7,3]=>[1,7,4,6,5,2,3]=>([(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)=>[6,1]
[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2]=>([(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)=>[6,1]
[1,5,6,4,7,2,3]=>[1,7,2,6,5,4,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,6,4,7,3,2]=>[1,3,7,6,5,4,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,6,7,2,4,3]=>[1,4,7,2,5,6,3]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,6,7,3,2,4]=>[1,3,7,2,5,6,4]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,5,6,7,3,4,2]=>[1,4,7,3,5,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,6,7,4,2,3]=>[1,4,2,7,5,6,3]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,2,3,6,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,2,4,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,2,4,6,3]=>[1,6,7,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,5,7,2,6,3,4]=>[1,6,7,2,5,3,4]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,5,7,2,6,4,3]=>[1,4,6,7,5,2,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,5,7,3,2,6,4]=>[1,3,6,7,5,2,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,3,4,2,6]=>[1,4,7,3,5,2,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,3,4,6,2]=>[1,6,7,3,5,4,2]=>([(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)=>[6,1]
[1,5,7,3,6,2,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,5,7,3,6,4,2]=>[1,4,6,7,5,3,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,4,2,6,3]=>[1,6,4,7,5,2,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,4,3,6,2]=>[1,6,4,7,5,3,2]=>([(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)=>[6,1]
[1,5,7,4,6,2,3]=>[1,6,2,7,5,4,3]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,4,6,3,2]=>[1,3,6,7,5,4,2]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,6,2,4,3]=>[1,4,6,2,5,7,3]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,6,3,2,4]=>[1,3,6,2,5,7,4]=>([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,6,3,4,2]=>[1,4,6,3,5,7,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,5,7,6,4,2,3]=>[1,4,2,6,5,7,3]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,6,2,3,4,7,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,3,5,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[1,6,2,3,5,7,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,3,7,4,5]=>[1,7,2,6,3,4,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,3,7,5,4]=>[1,5,2,7,6,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,4,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[1,6,2,4,3,7,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,4,5,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,6,2,4,5,7,3]=>[1,7,6,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,4,7,3,5]=>[1,7,6,2,4,3,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,4,7,5,3]=>[1,5,7,2,6,4,3]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,5,3,4,7]=>[1,5,6,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,6,2,5,3,7,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,2,5,4,3,7]=>[1,4,5,6,2,3,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,6,2,5,4,7,3]=>[1,7,5,6,2,4,3]=>([(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)=>[6,1]
[1,6,2,5,7,3,4]=>[1,7,6,2,3,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,5,7,4,3]=>[1,4,7,6,2,5,3]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,7,3,4,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,7,3,5,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,7,4,3,5]=>[1,4,7,6,2,3,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,7,4,5,3]=>[1,5,7,6,2,4,3]=>([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,2,7,5,3,4]=>[1,5,7,2,6,3,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,6,2,7,5,4,3]=>[1,4,5,7,6,2,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[1,6,3,2,4,7,5]=>[1,3,7,2,6,4,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,3,2,5,4,7]=>[1,3,5,6,2,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[1,6,3,2,5,7,4]=>[1,3,7,6,2,5,4]=>([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,2,7,4,5]=>[1,3,7,6,2,4,5]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,2,7,5,4]=>[1,3,5,7,6,2,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,6,3,4,2,7,5]=>[1,4,7,3,6,2,5]=>([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,4,5,2,7]=>[1,5,6,3,4,2,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,6,3,4,5,7,2]=>[1,7,6,3,4,5,2]=>([(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)=>[6,1]
[1,6,3,4,7,2,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,4,7,5,2]=>[1,5,7,3,6,4,2]=>([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,5,2,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,6,3,5,2,7,4]=>[1,7,5,6,3,2,4]=>([(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)=>[6,1]
[1,6,3,5,4,2,7]=>[1,4,5,6,3,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,6,3,5,4,7,2]=>[1,7,5,6,3,4,2]=>([(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)=>[6,1]
[1,6,3,5,7,2,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,5,7,4,2]=>[1,4,7,6,3,5,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,7,2,4,5]=>[1,7,6,3,2,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,7,2,5,4]=>[1,5,7,6,3,2,4]=>([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,7,4,2,5]=>[1,4,7,6,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,7,4,5,2]=>[1,5,7,6,3,4,2]=>([(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)=>[6,1]
[1,6,3,7,5,2,4]=>[1,5,7,3,6,2,4]=>([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,3,7,5,4,2]=>[1,4,5,7,6,3,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>([(2,6),(3,5),(4,5),(4,6)],7)=>[5,1,1]
[1,6,4,2,3,7,5]=>[1,4,2,7,6,3,5]=>([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,2,5,3,7]=>[1,5,4,6,2,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[1,6,4,2,5,7,3]=>[1,7,4,6,2,5,3]=>([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,2,7,3,5]=>[1,7,4,6,2,3,5]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,2,7,5,3]=>[1,5,4,7,6,2,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[1,6,4,3,2,7,5]=>[1,3,4,7,6,2,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,3,5,2,7]=>[1,5,4,6,3,2,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,6,4,3,5,7,2]=>[1,7,4,6,3,5,2]=>([(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)=>[6,1]
[1,6,4,3,7,2,5]=>[1,7,4,6,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,3,7,5,2]=>[1,5,4,7,6,3,2]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,6,4,5,2,7,3]=>[1,7,5,6,4,2,3]=>([(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)=>[6,1]
[1,6,4,5,3,2,7]=>[1,3,5,6,4,2,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,6,4,5,3,7,2]=>[1,7,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,5,7,2,3]=>[1,7,2,6,4,5,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,5,7,3,2]=>[1,3,7,6,4,5,2]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,7,2,3,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,7,2,5,3]=>[1,5,7,6,4,2,3]=>([(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)=>[6,1]
[1,6,4,7,3,2,5]=>[1,3,7,6,4,2,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,7,3,5,2]=>[1,5,7,6,4,3,2]=>([(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)=>[6,1]
[1,6,4,7,5,2,3]=>[1,5,2,7,6,4,3]=>([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,4,7,5,3,2]=>[1,3,5,7,6,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[1,6,5,2,3,7,4]=>[1,7,2,5,6,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,5,2,4,3,7]=>[1,4,5,2,6,3,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[1,6,5,2,4,7,3]=>[1,7,5,2,6,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,2,7,3,4]=>[1,7,5,2,6,3,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,2,7,4,3]=>[1,4,7,5,6,2,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>([(2,6),(3,5),(4,5),(4,6)],7)=>[5,1,1]
[1,6,5,3,2,7,4]=>[1,3,7,5,6,2,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,3,4,2,7]=>[1,4,5,3,6,2,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[1,6,5,3,4,7,2]=>[1,7,5,3,6,4,2]=>([(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)=>[6,1]
[1,6,5,3,7,2,4]=>[1,7,5,3,6,2,4]=>([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,3,7,4,2]=>[1,4,7,5,6,3,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[1,6,5,4,2,7,3]=>[1,7,4,5,6,2,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2]=>([(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)=>[6,1]
[1,6,5,4,7,2,3]=>[1,7,2,5,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,4,7,3,2]=>[1,3,7,5,6,4,2]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,7,2,4,3]=>[1,4,7,2,6,5,3]=>([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,7,3,2,4]=>[1,3,7,2,6,5,4]=>([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,7,3,4,2]=>[1,4,7,3,6,5,2]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,7,4,2,3]=>[1,4,2,7,6,5,3]=>([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,5,7,4,3,2]=>[1,3,4,7,6,5,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,7,2,3,5,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,6,7,2,4,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,7,2,4,5,3]=>[1,5,7,2,4,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,7,2,5,3,4]=>[1,5,7,2,3,6,4]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[6,1]
[1,6,7,2,5,4,3]=>[1,4,5,7,2,6,3]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[6,1]
[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,7,3,2,5,4]=>[1,3,5,7,2,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,6,7,3,4,2,5]=>[1,4,7,3,2,6,5]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,7,3,4,5,2]=>[1,5,7,3,4,6,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,7,3,5,2,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,7,3,5,4,2]=>[1,4,5,7,3,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,6,7,4,2,5,3]=>[1,5,4,7,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,7,4,3,2,5]=>[1,3,4,7,2,6,5]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,7,4,3,5,2]=>[1,5,4,7,3,6,2]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,7,4,5,2,3]=>[1,5,2,7,4,6,3]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,7,4,5,3,2]=>[1,3,5,7,4,6,2]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,7,5,2,4,3]=>[1,4,5,2,7,6,3]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,7,5,3,2,4]=>[1,3,5,2,7,6,4]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,6,7,5,3,4,2]=>[1,4,5,3,7,6,2]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,6,7,5,4,2,3]=>[1,4,2,5,7,6,3]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,3,5,6,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,3,6,5,4]=>[1,5,2,6,7,3,4]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,2,4,3,6,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>[6,1]
[1,7,2,4,5,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,4,5,6,3]=>[1,6,7,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,4,6,3,5]=>[1,6,7,2,4,3,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,4,6,5,3]=>[1,5,6,2,7,4,3]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,5,3,6,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,2,5,4,3,6]=>[1,4,5,7,2,3,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,2,5,4,6,3]=>[1,6,5,7,2,4,3]=>([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,2,5,6,3,4]=>[1,6,7,2,3,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,5,6,4,3]=>[1,4,6,7,2,5,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[6,1]
[1,7,2,6,4,3,5]=>[1,4,6,7,2,3,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,6,4,5,3]=>[1,5,6,7,2,4,3]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,2,6,5,3,4]=>[1,5,6,2,7,3,4]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,2,6,5,4,3]=>[1,4,5,6,7,2,3]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[6,1]
[1,7,3,2,4,6,5]=>[1,3,6,2,7,4,5]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,3,2,5,4,6]=>[1,3,5,7,2,4,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,2,5,6,4]=>[1,3,6,7,2,5,4]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,2,6,4,5]=>[1,3,6,7,2,4,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,2,6,5,4]=>[1,3,5,6,7,2,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,4,2,6,5]=>[1,4,6,3,7,2,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,4,5,2,6]=>[1,5,7,3,4,2,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,4,5,6,2]=>[1,6,7,3,4,5,2]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,3,4,6,2,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,3,4,6,5,2]=>[1,5,6,3,7,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,5,2,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,3,5,2,6,4]=>[1,6,5,7,3,2,4]=>([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,5,4,2,6]=>[1,4,5,7,3,2,6]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,5,4,6,2]=>[1,6,5,7,3,4,2]=>([(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)=>[6,1]
[1,7,3,5,6,2,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,3,5,6,4,2]=>[1,4,6,7,3,5,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,6,2,4,5]=>[1,6,7,3,2,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,3,6,2,5,4]=>[1,5,6,7,3,2,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,6,4,2,5]=>[1,4,6,7,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,3,6,4,5,2]=>[1,5,6,7,3,4,2]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,3,6,5,2,4]=>[1,5,6,3,7,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,3,6,5,4,2]=>[1,4,5,6,7,3,2]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[6,1]
[1,7,4,2,3,6,5]=>[1,4,2,6,7,3,5]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,4,2,5,3,6]=>[1,5,4,7,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,2,5,6,3]=>[1,6,4,7,2,5,3]=>([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,2,6,3,5]=>[1,6,4,7,2,3,5]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,4,2,6,5,3]=>[1,5,4,6,7,2,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[6,1]
[1,7,4,3,2,6,5]=>[1,3,4,6,7,2,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,3,5,2,6]=>[1,5,4,7,3,2,6]=>([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,3,5,6,2]=>[1,6,4,7,3,5,2]=>([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,3,6,2,5]=>[1,6,4,7,3,2,5]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,3,6,5,2]=>[1,5,4,6,7,3,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,4,5,2,6,3]=>[1,6,5,7,4,2,3]=>([(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)=>[6,1]
[1,7,4,5,3,2,6]=>[1,3,5,7,4,2,6]=>([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,5,3,6,2]=>[1,6,5,7,4,3,2]=>([(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)=>[6,1]
[1,7,4,5,6,2,3]=>[1,6,2,7,4,5,3]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,5,6,3,2]=>[1,3,6,7,4,5,2]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,4,6,2,3,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,4,6,2,5,3]=>[1,5,6,7,4,2,3]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,4,6,3,2,5]=>[1,3,6,7,4,2,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,4,6,3,5,2]=>[1,5,6,7,4,3,2]=>([(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)=>[6,1]
[1,7,4,6,5,2,3]=>[1,5,2,6,7,4,3]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,4,6,5,3,2]=>[1,3,5,6,7,4,2]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[6,1]
[1,7,5,2,3,6,4]=>[1,6,2,5,7,3,4]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,5,2,4,3,6]=>[1,4,5,2,7,3,6]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,5,2,4,6,3]=>[1,6,5,2,7,4,3]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,2,6,3,4]=>[1,6,5,2,7,3,4]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,2,6,4,3]=>[1,4,6,5,7,2,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[6,1]
[1,7,5,3,2,6,4]=>[1,3,6,5,7,2,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,5,3,4,2,6]=>[1,4,5,3,7,2,6]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,5,3,4,6,2]=>[1,6,5,3,7,4,2]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,3,6,2,4]=>[1,6,5,3,7,2,4]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,3,6,4,2]=>[1,4,6,5,7,3,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[6,1]
[1,7,5,4,2,6,3]=>[1,6,4,5,7,2,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[6,1]
[1,7,5,4,3,6,2]=>[1,6,4,5,7,3,2]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,4,6,2,3]=>[1,6,2,5,7,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,4,6,3,2]=>[1,3,6,5,7,4,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,6,2,4,3]=>[1,4,6,2,7,5,3]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,6,3,2,4]=>[1,3,6,2,7,5,4]=>([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,5,6,3,4,2]=>[1,4,6,3,7,5,2]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,5,6,4,2,3]=>[1,4,2,6,7,5,3]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,5,6,4,3,2]=>[1,3,4,6,7,5,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[6,1]
[1,7,6,2,3,5,4]=>[1,5,2,6,3,7,4]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,2,4,3,5]=>[1,4,6,2,3,7,5]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,6,2,4,5,3]=>[1,5,6,2,4,7,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,6,2,5,3,4]=>[1,5,6,2,3,7,4]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,2,5,4,3]=>[1,4,5,6,2,7,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[6,1]
[1,7,6,3,2,5,4]=>[1,3,5,6,2,7,4]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,6,3,4,2,5]=>[1,4,6,3,2,7,5]=>([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,3,4,5,2]=>[1,5,6,3,4,7,2]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[1,7,6,3,5,2,4]=>[1,5,6,3,2,7,4]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,3,5,4,2]=>[1,4,5,6,3,7,2]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[6,1]
[1,7,6,4,2,5,3]=>[1,5,4,6,2,7,3]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[6,1]
[1,7,6,4,3,5,2]=>[1,5,4,6,3,7,2]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,4,5,2,3]=>[1,5,2,6,4,7,3]=>([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,4,5,3,2]=>[1,3,5,6,4,7,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[6,1]
[1,7,6,5,2,4,3]=>[1,4,5,2,6,7,3]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[6,1]
[1,7,6,5,3,4,2]=>[1,4,5,3,6,7,2]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[6,1]
[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>([(5,6)],7)=>[2,1,1,1,1,1]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,3,5,7,6,4]=>[2,1,3,6,5,7,4]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,3,6,4,7,5]=>[2,1,3,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,3,6,7,4,5]=>[2,1,3,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,3,6,7,5,4]=>[2,1,3,5,7,6,4]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,1,3,7,4,6,5]=>[2,1,3,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>[4,2,1]
[2,1,3,7,5,4,6]=>[2,1,3,5,7,4,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[2,1,3,7,5,6,4]=>[2,1,3,6,7,5,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,3,7,6,4,5]=>[2,1,3,6,4,7,5]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>([(3,6),(4,5)],7)=>[2,2,1,1,1]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>([(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>([(1,6),(2,5),(3,4)],7)=>[2,2,2,1]
[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>[3,2,2]
[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>[3,2,2]
[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]=>([(0,3),(1,2),(4,6),(5,6)],7)=>[3,2,2]
[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>[3,2,2]
[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,4,5,7,3,6]=>[2,1,7,4,5,3,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,4,5,7,6,3]=>[2,1,6,4,5,7,3]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,4,6,3,7,5]=>[2,1,7,4,6,3,5]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,4,6,5,3,7]=>[2,1,5,4,6,3,7]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,4,6,7,3,5]=>[2,1,7,4,3,6,5]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,2]
[2,1,4,6,7,5,3]=>[2,1,5,4,7,6,3]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,2]
[2,1,4,7,3,5,6]=>[2,1,7,4,3,5,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,4,7,3,6,5]=>[2,1,6,4,7,3,5]=>([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,4,7,5,3,6]=>[2,1,5,4,7,3,6]=>([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,4,7,5,6,3]=>[2,1,6,4,7,5,3]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,4,7,6,3,5]=>[2,1,6,4,3,7,5]=>([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,4,7,6,5,3]=>[2,1,5,4,6,7,3]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>[3,2,2]
[2,1,5,3,6,4,7]=>[2,1,6,5,3,4,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,5,3,6,7,4]=>[2,1,7,5,3,6,4]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,3,7,4,6]=>[2,1,7,5,3,4,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,3,7,6,4]=>[2,1,6,5,3,7,4]=>([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>[3,2,2]
[2,1,5,4,6,3,7]=>[2,1,6,5,4,3,7]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,4,7,3,6]=>[2,1,7,5,4,3,6]=>([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,4,7,6,3]=>[2,1,6,5,4,7,3]=>([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,6,3,4,7]=>[2,1,6,3,5,4,7]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,5,6,3,7,4]=>[2,1,7,6,5,3,4]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,6,4,3,7]=>[2,1,4,6,5,3,7]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,6,7,3,4]=>[2,1,7,3,5,6,4]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,6,7,4,3]=>[2,1,4,7,5,6,3]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,7,3,6,4]=>[2,1,6,7,5,3,4]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,2]
[2,1,5,7,4,3,6]=>[2,1,4,7,5,3,6]=>([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,7,4,6,3]=>[2,1,6,7,5,4,3]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,7,6,3,4]=>[2,1,6,3,5,7,4]=>([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,5,7,6,4,3]=>[2,1,4,6,5,7,3]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,1,6,3,4,7,5]=>[2,1,7,3,6,4,5]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,3,5,4,7]=>[2,1,5,6,3,4,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>[4,2,1]
[2,1,6,3,5,7,4]=>[2,1,7,6,3,5,4]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,3,7,4,5]=>[2,1,7,6,3,4,5]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,3,7,5,4]=>[2,1,5,7,6,3,4]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[2,1,6,4,3,5,7]=>[2,1,4,6,3,5,7]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[2,1,6,4,3,7,5]=>[2,1,4,7,6,3,5]=>([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,4,5,3,7]=>[2,1,5,6,4,3,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,1,6,4,5,7,3]=>[2,1,7,6,4,5,3]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,4,7,3,5]=>[2,1,7,6,4,3,5]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,4,7,5,3]=>[2,1,5,7,6,4,3]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,5,3,4,7]=>[2,1,5,3,6,4,7]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[2,1,6,5,3,7,4]=>[2,1,7,5,6,3,4]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,2]
[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[2,1,6,5,4,7,3]=>[2,1,7,5,6,4,3]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,5,7,3,4]=>[2,1,7,3,6,5,4]=>([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,5,7,4,3]=>[2,1,4,7,6,5,3]=>([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,7,3,4,5]=>[2,1,7,3,4,6,5]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,7,3,5,4]=>[2,1,5,7,3,6,4]=>([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,7,4,3,5]=>[2,1,4,7,3,6,5]=>([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,7,4,5,3]=>[2,1,5,7,4,6,3]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,7,5,3,4]=>[2,1,5,3,7,6,4]=>([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,6,7,5,4,3]=>[2,1,4,5,7,6,3]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>[5,2]
[2,1,7,3,4,6,5]=>[2,1,6,3,7,4,5]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[2,1,7,3,5,4,6]=>[2,1,5,7,3,4,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[2,1,7,3,5,6,4]=>[2,1,6,7,3,5,4]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[2,1,7,3,6,4,5]=>[2,1,6,7,3,4,5]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[2,1,7,3,6,5,4]=>[2,1,5,6,7,3,4]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[2,1,7,4,3,5,6]=>[2,1,4,7,3,5,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>[5,2]
[2,1,7,4,3,6,5]=>[2,1,4,6,7,3,5]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[2,1,7,4,5,3,6]=>[2,1,5,7,4,3,6]=>([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,7,4,5,6,3]=>[2,1,6,7,4,5,3]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,2]
[2,1,7,4,6,3,5]=>[2,1,6,7,4,3,5]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[2,1,7,4,6,5,3]=>[2,1,5,6,7,4,3]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,7,5,3,4,6]=>[2,1,5,3,7,4,6]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>[5,2]
[2,1,7,5,3,6,4]=>[2,1,6,5,7,3,4]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[2,1,7,5,4,3,6]=>[2,1,4,5,7,3,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>[5,2]
[2,1,7,5,4,6,3]=>[2,1,6,5,7,4,3]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,7,5,6,3,4]=>[2,1,6,3,7,5,4]=>([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,7,5,6,4,3]=>[2,1,4,6,7,5,3]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,7,6,3,4,5]=>[2,1,6,3,4,7,5]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>[5,2]
[2,1,7,6,3,5,4]=>[2,1,5,6,3,7,4]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[2,1,7,6,4,3,5]=>[2,1,4,6,3,7,5]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>[5,2]
[2,1,7,6,4,5,3]=>[2,1,5,6,4,7,3]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,1,7,6,5,3,4]=>[2,1,5,3,6,7,4]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>[5,2]
[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>[5,2]
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>[3,1,1,1,1]
[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>[3,3,1]
[2,3,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>[3,2,1,1]
[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>([(0,3),(1,2),(4,5),(4,6),(5,6)],7)=>[3,2,2]
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>[3,3,1]
[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,3,1,5,7,4,6]=>[3,2,1,7,5,4,6]=>([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,3,1,5,7,6,4]=>[3,2,1,6,5,7,4]=>([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,3,1,6,4,5,7]=>[3,2,1,6,4,5,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[2,3,1,6,4,7,5]=>[3,2,1,7,6,4,5]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,3,1,6,5,4,7]=>[3,2,1,5,6,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4]=>([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,3,1,6,7,4,5]=>[3,2,1,7,4,6,5]=>([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,3,1,6,7,5,4]=>[3,2,1,5,7,6,4]=>([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,3,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[4,3]
[2,3,1,7,4,6,5]=>[3,2,1,6,7,4,5]=>([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)=>[4,3]
[2,3,1,7,5,4,6]=>[3,2,1,5,7,4,6]=>([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>[4,3]
[2,3,1,7,5,6,4]=>[3,2,1,6,7,5,4]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,3,1,7,6,4,5]=>[3,2,1,6,4,7,5]=>([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>[4,3]
[2,3,1,7,6,5,4]=>[3,2,1,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[4,3]
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,3,4,1,7,5,6]=>[4,2,3,1,7,5,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,4,5,6,7,1]=>[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]
[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,5,7,6,1]=>[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]
[2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,4,6,1,7,5]=>[7,2,3,4,6,1,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,4,6,5,7,1]=>[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]
[2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,6,7,5,1]=>[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]
[2,3,4,7,1,5,6]=>[7,2,3,4,1,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,7,1,6,5]=>[6,2,3,4,7,1,5]=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,4,7,5,1,6]=>[5,2,3,4,7,1,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,4,7,5,6,1]=>[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]
[2,3,4,7,6,1,5]=>[6,2,3,4,1,7,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,4,7,6,5,1]=>[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]
[2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[2,3,5,1,4,7,6]=>[5,2,3,1,4,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,3,5,1,6,4,7]=>[6,2,3,5,1,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,5,1,6,7,4]=>[7,2,3,5,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,1,7,4,6]=>[7,2,3,5,1,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,1,7,6,4]=>[6,2,3,5,1,7,4]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[2,3,5,4,1,7,6]=>[4,2,3,5,1,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,5,4,6,7,1]=>[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]
[2,3,5,4,7,1,6]=>[7,2,3,5,4,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,4,7,6,1]=>[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]
[2,3,5,6,1,4,7]=>[6,2,3,1,5,4,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,5,6,1,7,4]=>[7,2,3,6,5,1,4]=>([(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]
[2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,5,6,4,7,1]=>[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]
[2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,5,6,7,4,1]=>[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]
[2,3,5,7,1,4,6]=>[7,2,3,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,7,1,6,4]=>[6,2,3,7,5,1,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,5,7,4,1,6]=>[4,2,3,7,5,1,6]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,5,7,4,6,1]=>[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]
[2,3,5,7,6,1,4]=>[6,2,3,1,5,7,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,5,7,6,4,1]=>[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]
[2,3,6,1,4,5,7]=>[6,2,3,1,4,5,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,6,1,4,7,5]=>[7,2,3,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,6,1,5,4,7]=>[5,2,3,6,1,4,7]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,6,1,5,7,4]=>[7,2,3,6,1,5,4]=>([(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]
[2,3,6,1,7,4,5]=>[7,2,3,6,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,1,7,5,4]=>[5,2,3,7,6,1,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,3,6,4,1,5,7]=>[4,2,3,6,1,5,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,3,6,4,1,7,5]=>[4,2,3,7,6,1,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,4,5,1,7]=>[5,2,3,6,4,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,6,4,5,7,1]=>[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]
[2,3,6,4,7,1,5]=>[7,2,3,6,4,1,5]=>([(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]
[2,3,6,4,7,5,1]=>[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]
[2,3,6,5,1,4,7]=>[5,2,3,1,6,4,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,3,6,5,1,7,4]=>[7,2,3,5,6,1,4]=>([(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]
[2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,3,6,5,4,7,1]=>[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]
[2,3,6,5,7,1,4]=>[7,2,3,1,6,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,6,5,7,4,1]=>[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]
[2,3,6,7,1,4,5]=>[7,2,3,1,4,6,5]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,6,7,1,5,4]=>[5,2,3,7,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,3,6,7,4,1,5]=>[4,2,3,7,1,6,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,6,7,4,5,1]=>[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]
[2,3,6,7,5,1,4]=>[5,2,3,1,7,6,4]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,6,7,5,4,1]=>[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]
[2,3,7,1,4,5,6]=>[7,2,3,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,1,4,6,5]=>[6,2,3,1,7,4,5]=>([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,1,5,4,6]=>[5,2,3,7,1,4,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,3,7,1,5,6,4]=>[6,2,3,7,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,3,7,1,6,4,5]=>[6,2,3,7,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,3,7,1,6,5,4]=>[5,2,3,6,7,1,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,3,7,4,1,5,6]=>[4,2,3,7,1,5,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,7,4,1,6,5]=>[4,2,3,6,7,1,5]=>([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,4,5,1,6]=>[5,2,3,7,4,1,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,7,4,5,6,1]=>[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]
[2,3,7,4,6,1,5]=>[6,2,3,7,4,1,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,4,6,5,1]=>[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]
[2,3,7,5,1,4,6]=>[5,2,3,1,7,4,6]=>([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[7]
[2,3,7,5,1,6,4]=>[6,2,3,5,7,1,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,5,4,1,6]=>[4,2,3,5,7,1,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,7,5,4,6,1]=>[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]
[2,3,7,5,6,1,4]=>[6,2,3,1,7,5,4]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,3,7,5,6,4,1]=>[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]
[2,3,7,6,1,4,5]=>[6,2,3,1,4,7,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,7,6,1,5,4]=>[5,2,3,6,1,7,4]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,3,7,6,4,1,5]=>[4,2,3,6,1,7,5]=>([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[7]
[2,3,7,6,4,5,1]=>[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]
[2,3,7,6,5,1,4]=>[5,2,3,1,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,3,7,6,5,4,1]=>[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]
[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[2,4,1,3,5,7,6]=>[4,2,1,3,5,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,4,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,4,1,3,6,7,5]=>[4,2,1,3,7,6,5]=>([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,4,1,3,7,5,6]=>[4,2,1,3,7,5,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,4,1,3,7,6,5]=>[4,2,1,3,6,7,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,4,1,5,3,6,7]=>[5,2,4,1,3,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[2,4,1,5,3,7,6]=>[5,2,4,1,3,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,4,1,5,6,3,7]=>[6,2,4,1,5,3,7]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,4,1,5,6,7,3]=>[7,2,4,1,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,5,7,3,6]=>[7,2,4,1,5,3,6]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,4,1,5,7,6,3]=>[6,2,4,1,5,7,3]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,6,3,5,7]=>[6,2,4,1,3,5,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,1,6,3,7,5]=>[7,2,4,1,6,3,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,4,1,6,5,3,7]=>[5,2,4,1,6,3,7]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,4,1,6,5,7,3]=>[7,2,4,1,6,5,3]=>([(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]
[2,4,1,6,7,3,5]=>[7,2,4,1,3,6,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,6,7,5,3]=>[5,2,4,1,7,6,3]=>([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,3,5,6]=>[7,2,4,1,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,3,6,5]=>[6,2,4,1,7,3,5]=>([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,5,3,6]=>[5,2,4,1,7,3,6]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,4,1,7,5,6,3]=>[6,2,4,1,7,5,3]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,6,3,5]=>[6,2,4,1,3,7,5]=>([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,1,7,6,5,3]=>[5,2,4,1,6,7,3]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[2,4,3,1,5,7,6]=>[3,2,4,1,5,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,4,3,1,6,5,7]=>[3,2,4,1,6,5,7]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5]=>([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,4,3,1,7,5,6]=>[3,2,4,1,7,5,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,3,5,6,7,1]=>[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]
[2,4,3,5,7,1,6]=>[7,2,4,3,5,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,5,7,6,1]=>[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]
[2,4,3,6,1,5,7]=>[6,2,4,3,1,5,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,3,6,1,7,5]=>[7,2,4,3,6,1,5]=>([(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]
[2,4,3,6,5,1,7]=>[5,2,4,3,6,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,3,6,5,7,1]=>[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]
[2,4,3,6,7,1,5]=>[7,2,4,3,1,6,5]=>([(0,1),(0,6),(1,6),(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]=>[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]
[2,4,3,7,1,5,6]=>[7,2,4,3,1,5,6]=>([(0,6),(1,6),(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]=>[6,2,4,3,7,1,5]=>([(0,1),(0,6),(1,5),(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]=>[5,2,4,3,7,1,6]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,7,5,6,1]=>[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]
[2,4,3,7,6,1,5]=>[6,2,4,3,1,7,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,3,7,6,5,1]=>[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]
[2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[2,4,5,1,3,7,6]=>[5,2,1,4,3,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,2]
[2,4,5,1,6,3,7]=>[6,2,5,4,1,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,5,1,6,7,3]=>[7,2,5,4,1,6,3]=>([(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]
[2,4,5,1,7,3,6]=>[7,2,5,4,1,3,6]=>([(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]
[2,4,5,1,7,6,3]=>[6,2,5,4,1,7,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[2,4,5,3,1,7,6]=>[3,2,5,4,1,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[5,2]
[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,5,3,6,7,1]=>[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]
[2,4,5,3,7,1,6]=>[7,2,5,4,3,1,6]=>([(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]
[2,4,5,3,7,6,1]=>[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]
[2,4,5,6,1,3,7]=>[6,2,1,4,5,3,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,5,6,1,7,3]=>[7,2,6,4,5,1,3]=>([(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]
[2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,5,6,3,7,1]=>[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]
[2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,6,7,3,1]=>[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]
[2,4,5,7,1,3,6]=>[7,2,1,4,5,3,6]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,7,1,6,3]=>[6,2,7,4,5,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,7,3,1,6]=>[3,2,7,4,5,1,6]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,7,3,6,1]=>[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]
[2,4,5,7,6,1,3]=>[6,2,1,4,5,7,3]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,5,7,6,3,1]=>[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]
[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,4,6,1,3,7,5]=>[7,2,1,4,6,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,1,5,3,7]=>[5,2,6,4,1,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,6,1,5,7,3]=>[7,2,6,4,1,5,3]=>([(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]
[2,4,6,1,7,3,5]=>[7,2,6,4,1,3,5]=>([(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]
[2,4,6,1,7,5,3]=>[5,2,7,4,6,1,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,4,6,3,1,5,7]=>[3,2,6,4,1,5,7]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,6,3,1,7,5]=>[3,2,7,4,6,1,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,3,5,1,7]=>[5,2,6,4,3,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,6,3,5,7,1]=>[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]
[2,4,6,3,7,1,5]=>[7,2,6,4,3,1,5]=>([(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]
[2,4,6,3,7,5,1]=>[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]
[2,4,6,5,1,3,7]=>[5,2,1,4,6,3,7]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,4,6,5,1,7,3]=>[7,2,5,4,6,1,3]=>([(0,5),(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]
[2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,4,6,5,3,7,1]=>[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]
[2,4,6,5,7,1,3]=>[7,2,1,4,6,5,3]=>([(0,1),(0,6),(1,6),(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]=>[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]
[2,4,6,7,1,3,5]=>[7,2,1,4,3,6,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[2,4,6,7,1,5,3]=>[5,2,7,4,1,6,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,4,6,7,3,1,5]=>[3,2,7,4,1,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,7,3,5,1]=>[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]
[2,4,6,7,5,1,3]=>[5,2,1,4,7,6,3]=>([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,6,7,5,3,1]=>[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]
[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,4,7,1,3,6,5]=>[6,2,1,4,7,3,5]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,1,5,3,6]=>[5,2,7,4,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,4,7,1,5,6,3]=>[6,2,7,4,1,5,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,4,7,1,6,3,5]=>[6,2,7,4,1,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,4,7,1,6,5,3]=>[5,2,6,4,7,1,3]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,4,7,3,1,5,6]=>[3,2,7,4,1,5,6]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,3,1,6,5]=>[3,2,6,4,7,1,5]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,3,5,1,6]=>[5,2,7,4,3,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,4,7,3,5,6,1]=>[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]
[2,4,7,3,6,1,5]=>[6,2,7,4,3,1,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,4,7,3,6,5,1]=>[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]
[2,4,7,5,1,3,6]=>[5,2,1,4,7,3,6]=>([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,4,7,5,1,6,3]=>[6,2,5,4,7,1,3]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,4,7,5,3,1,6]=>[3,2,5,4,7,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[2,4,7,5,3,6,1]=>[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]
[2,4,7,5,6,1,3]=>[6,2,1,4,7,5,3]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,5,6,3,1]=>[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]
[2,4,7,6,1,3,5]=>[6,2,1,4,3,7,5]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[2,4,7,6,1,5,3]=>[5,2,6,4,1,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,4,7,6,3,1,5]=>[3,2,6,4,1,7,5]=>([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,4,7,6,3,5,1]=>[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]
[2,4,7,6,5,1,3]=>[5,2,1,4,6,7,3]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,4,7,6,5,3,1]=>[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]
[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[2,5,1,3,4,7,6]=>[5,2,1,3,4,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,5,1,3,6,4,7]=>[6,2,1,5,3,4,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,1,3,6,7,4]=>[7,2,1,5,3,6,4]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,3,7,4,6]=>[7,2,1,5,3,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,3,7,6,4]=>[6,2,1,5,3,7,4]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,4,3,6,7]=>[4,2,5,1,3,6,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[2,5,1,4,3,7,6]=>[4,2,5,1,3,7,6]=>([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,5,1,4,6,3,7]=>[6,2,5,1,4,3,7]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,1,4,6,7,3]=>[7,2,5,1,4,6,3]=>([(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]
[2,5,1,4,7,3,6]=>[7,2,5,1,4,3,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,4,7,6,3]=>[6,2,5,1,4,7,3]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,6,3,4,7]=>[6,2,5,1,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,1,6,3,7,4]=>[7,2,6,5,1,3,4]=>([(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]
[2,5,1,6,4,3,7]=>[4,2,6,5,1,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,5,1,6,4,7,3]=>[7,2,6,5,1,4,3]=>([(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]
[2,5,1,6,7,3,4]=>[7,2,5,1,3,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,6,7,4,3]=>[4,2,7,5,1,6,3]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,5,1,7,3,4,6]=>[7,2,5,1,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,7,3,6,4]=>[6,2,7,5,1,3,4]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,7,4,3,6]=>[4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,5,1,7,4,6,3]=>[6,2,7,5,1,4,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,7,6,3,4]=>[6,2,5,1,3,7,4]=>([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,1,7,6,4,3]=>[4,2,6,5,1,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,5,3,1,4,6,7]=>[3,2,5,1,4,6,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[2,5,3,1,4,7,6]=>[3,2,5,1,4,7,6]=>([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,5,3,1,6,4,7]=>[3,2,6,5,1,4,7]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,3,1,6,7,4]=>[3,2,7,5,1,6,4]=>([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,1,7,4,6]=>[3,2,7,5,1,4,6]=>([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,1,7,6,4]=>[3,2,6,5,1,7,4]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,5,3,4,1,6,7]=>[4,2,5,3,1,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[2,5,3,4,1,7,6]=>[4,2,5,3,1,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,5,3,4,6,1,7]=>[6,2,5,3,4,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,3,4,6,7,1]=>[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]
[2,5,3,4,7,1,6]=>[7,2,5,3,4,1,6]=>([(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]=>[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]
[2,5,3,6,1,4,7]=>[6,2,5,3,1,4,7]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,3,6,1,7,4]=>[7,2,6,5,3,1,4]=>([(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]
[2,5,3,6,4,1,7]=>[4,2,6,5,3,1,7]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,3,6,4,7,1]=>[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]
[2,5,3,6,7,1,4]=>[7,2,5,3,1,6,4]=>([(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]
[2,5,3,6,7,4,1]=>[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]
[2,5,3,7,1,4,6]=>[7,2,5,3,1,4,6]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,7,1,6,4]=>[6,2,7,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,7,4,1,6]=>[4,2,7,5,3,1,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,7,4,6,1]=>[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]
[2,5,3,7,6,1,4]=>[6,2,5,3,1,7,4]=>([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,3,7,6,4,1]=>[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]
[2,5,4,1,3,6,7]=>[4,2,1,5,3,6,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[2,5,4,1,3,7,6]=>[4,2,1,5,3,7,6]=>([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,5,4,1,6,3,7]=>[6,2,4,5,1,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,4,1,6,7,3]=>[7,2,4,5,1,6,3]=>([(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]
[2,5,4,1,7,3,6]=>[7,2,4,5,1,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,1,7,6,3]=>[6,2,4,5,1,7,3]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,5,4,3,1,6,7]=>[3,2,4,5,1,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[2,5,4,3,1,7,6]=>[3,2,4,5,1,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[2,5,4,3,6,1,7]=>[6,2,4,5,3,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,4,3,6,7,1]=>[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]
[2,5,4,3,7,1,6]=>[7,2,4,5,3,1,6]=>([(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]=>[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]
[2,5,4,6,1,3,7]=>[6,2,1,5,4,3,7]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,4,6,1,7,3]=>[7,2,6,5,4,1,3]=>([(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]
[2,5,4,6,3,1,7]=>[3,2,6,5,4,1,7]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,5,4,6,3,7,1]=>[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]
[2,5,4,6,7,1,3]=>[7,2,1,5,4,6,3]=>([(0,1),(0,6),(1,6),(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]=>[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]
[2,5,4,7,1,3,6]=>[7,2,1,5,4,3,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,7,1,6,3]=>[6,2,7,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,7,3,1,6]=>[3,2,7,5,4,1,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,7,3,6,1]=>[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]
[2,5,4,7,6,1,3]=>[6,2,1,5,4,7,3]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,4,7,6,3,1]=>[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]
[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,5,6,1,3,7,4]=>[7,2,1,6,5,3,4]=>([(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]
[2,5,6,1,4,3,7]=>[4,2,6,1,5,3,7]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>[6,1]
[2,5,6,1,4,7,3]=>[7,2,6,1,5,4,3]=>([(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]
[2,5,6,1,7,3,4]=>[7,2,6,1,5,3,4]=>([(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]
[2,5,6,1,7,4,3]=>[4,2,7,6,5,1,3]=>([(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)],7)=>[7]
[2,5,6,3,1,4,7]=>[3,2,6,1,5,4,7]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[6,1]
[2,5,6,3,1,7,4]=>[3,2,7,6,5,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,3,4,1,7]=>[4,2,6,3,5,1,7]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,5,6,3,4,7,1]=>[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]
[2,5,6,3,7,1,4]=>[7,2,6,3,5,1,4]=>([(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]
[2,5,6,3,7,4,1]=>[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]
[2,5,6,4,1,3,7]=>[4,2,1,6,5,3,7]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[6,1]
[2,5,6,4,1,7,3]=>[7,2,4,6,5,1,3]=>([(0,5),(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]
[2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,5,6,4,3,7,1]=>[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]
[2,5,6,4,7,1,3]=>[7,2,1,6,5,4,3]=>([(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]
[2,5,6,4,7,3,1]=>[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]
[2,5,6,7,1,3,4]=>[7,2,1,3,5,6,4]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,6,7,1,4,3]=>[4,2,7,1,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,5,6,7,3,1,4]=>[3,2,7,1,5,6,4]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,5,6,7,3,4,1]=>[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]
[2,5,6,7,4,1,3]=>[4,2,1,7,5,6,3]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,5,6,7,4,3,1]=>[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]
[2,5,7,1,3,4,6]=>[7,2,1,3,5,4,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,5,7,1,3,6,4]=>[6,2,1,7,5,3,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,1,4,3,6]=>[4,2,7,1,5,3,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,5,7,1,4,6,3]=>[6,2,7,1,5,4,3]=>([(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)],7)=>[7]
[2,5,7,1,6,3,4]=>[6,2,7,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,5,7,1,6,4,3]=>[4,2,6,7,5,1,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,5,7,3,1,4,6]=>[3,2,7,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,5,7,3,1,6,4]=>[3,2,6,7,5,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,3,4,1,6]=>[4,2,7,3,5,1,6]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,3,4,6,1]=>[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]
[2,5,7,3,6,1,4]=>[6,2,7,3,5,1,4]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,3,6,4,1]=>[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]
[2,5,7,4,1,3,6]=>[4,2,1,7,5,3,6]=>([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,5,7,4,1,6,3]=>[6,2,4,7,5,1,3]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,4,3,1,6]=>[3,2,4,7,5,1,6]=>([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,4,3,6,1]=>[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]
[2,5,7,4,6,1,3]=>[6,2,1,7,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,4,6,3,1]=>[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]
[2,5,7,6,1,3,4]=>[6,2,1,3,5,7,4]=>([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,5,7,6,1,4,3]=>[4,2,6,1,5,7,3]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,5,7,6,3,1,4]=>[3,2,6,1,5,7,4]=>([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,5,7,6,3,4,1]=>[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]
[2,5,7,6,4,1,3]=>[4,2,1,6,5,7,3]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,5,7,6,4,3,1]=>[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]
[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,6,1,3,4,7,5]=>[7,2,1,3,6,4,5]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,3,5,4,7]=>[5,2,1,6,3,4,7]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,6,1,3,5,7,4]=>[7,2,1,6,3,5,4]=>([(0,1),(0,6),(1,6),(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]=>[7,2,1,6,3,4,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,3,7,5,4]=>[5,2,1,7,6,3,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,6,1,4,3,5,7]=>[4,2,6,1,3,5,7]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[2,6,1,4,3,7,5]=>[4,2,7,1,6,3,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>[7]
[2,6,1,4,5,3,7]=>[5,2,6,1,4,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,6,1,4,5,7,3]=>[7,2,6,1,4,5,3]=>([(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]
[2,6,1,4,7,3,5]=>[7,2,6,1,4,3,5]=>([(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]
[2,6,1,4,7,5,3]=>[5,2,7,1,6,4,3]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,6,1,5,3,4,7]=>[5,2,6,1,3,4,7]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[6,1]
[2,6,1,5,3,7,4]=>[7,2,5,6,1,3,4]=>([(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]
[2,6,1,5,4,3,7]=>[4,2,5,6,1,3,7]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[6,1]
[2,6,1,5,4,7,3]=>[7,2,5,6,1,4,3]=>([(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]
[2,6,1,5,7,3,4]=>[7,2,6,1,3,5,4]=>([(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]
[2,6,1,5,7,4,3]=>[4,2,7,6,1,5,3]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,6,1,7,3,4,5]=>[7,2,6,1,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,7,3,5,4]=>[5,2,7,6,1,3,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,6,1,7,4,3,5]=>[4,2,7,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,1,7,4,5,3]=>[5,2,7,6,1,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,6,1,7,5,3,4]=>[5,2,7,1,6,3,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,6,1,7,5,4,3]=>[4,2,5,7,6,1,3]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,6,3,1,4,5,7]=>[3,2,6,1,4,5,7]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,6,3,1,4,7,5]=>[3,2,7,1,6,4,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,6,3,1,5,4,7]=>[3,2,5,6,1,4,7]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,6,3,1,5,7,4]=>[3,2,7,6,1,5,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,1,7,4,5]=>[3,2,7,6,1,4,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,1,7,5,4]=>[3,2,5,7,6,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,4,1,5,7]=>[4,2,6,3,1,5,7]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,6,3,4,1,7,5]=>[4,2,7,3,6,1,5]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,4,5,1,7]=>[5,2,6,3,4,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,6,3,4,5,7,1]=>[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]
[2,6,3,4,7,1,5]=>[7,2,6,3,4,1,5]=>([(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]
[2,6,3,4,7,5,1]=>[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]
[2,6,3,5,1,4,7]=>[5,2,6,3,1,4,7]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,6,3,5,1,7,4]=>[7,2,5,6,3,1,4]=>([(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]
[2,6,3,5,4,1,7]=>[4,2,5,6,3,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,6,3,5,4,7,1]=>[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]
[2,6,3,5,7,1,4]=>[7,2,6,3,1,5,4]=>([(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]
[2,6,3,5,7,4,1]=>[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]
[2,6,3,7,1,4,5]=>[7,2,6,3,1,4,5]=>([(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]
[2,6,3,7,1,5,4]=>[5,2,7,6,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,6,3,7,4,1,5]=>[4,2,7,6,3,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,3,7,4,5,1]=>[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]
[2,6,3,7,5,1,4]=>[5,2,7,3,6,1,4]=>([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,6,3,7,5,4,1]=>[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]
[2,6,4,1,3,5,7]=>[4,2,1,6,3,5,7]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[6,1]
[2,6,4,1,3,7,5]=>[4,2,1,7,6,3,5]=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[2,6,4,1,5,3,7]=>[5,2,4,6,1,3,7]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,6,4,1,5,7,3]=>[7,2,4,6,1,5,3]=>([(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]
[2,6,4,1,7,3,5]=>[7,2,4,6,1,3,5]=>([(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]
[2,6,4,1,7,5,3]=>[5,2,4,7,6,1,3]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,6,4,3,1,5,7]=>[3,2,4,6,1,5,7]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,6,4,3,1,7,5]=>[3,2,4,7,6,1,5]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,3,5,1,7]=>[5,2,4,6,3,1,7]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,6,4,3,5,7,1]=>[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]
[2,6,4,3,7,1,5]=>[7,2,4,6,3,1,5]=>([(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]
[2,6,4,3,7,5,1]=>[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]
[2,6,4,5,1,3,7]=>[5,2,1,6,4,3,7]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,6,4,5,1,7,3]=>[7,2,5,6,4,1,3]=>([(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]
[2,6,4,5,3,1,7]=>[3,2,5,6,4,1,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,6,4,5,3,7,1]=>[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]
[2,6,4,5,7,1,3]=>[7,2,1,6,4,5,3]=>([(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]
[2,6,4,5,7,3,1]=>[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]
[2,6,4,7,1,3,5]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(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]=>[5,2,7,6,4,1,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,7,3,1,5]=>[3,2,7,6,4,1,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,7,3,5,1]=>[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]
[2,6,4,7,5,1,3]=>[5,2,1,7,6,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,4,7,5,3,1]=>[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]
[2,6,5,1,3,4,7]=>[5,2,1,3,6,4,7]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,6,5,1,3,7,4]=>[7,2,1,5,6,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,6,5,1,4,3,7]=>[4,2,5,1,6,3,7]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[2,6,5,1,4,7,3]=>[7,2,5,1,6,4,3]=>([(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]
[2,6,5,1,7,3,4]=>[7,2,5,1,6,3,4]=>([(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]
[2,6,5,1,7,4,3]=>[4,2,7,5,6,1,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,6,5,3,1,4,7]=>[3,2,5,1,6,4,7]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[6,1]
[2,6,5,3,1,7,4]=>[3,2,7,5,6,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,3,4,1,7]=>[4,2,5,3,6,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,6,5,3,4,7,1]=>[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]
[2,6,5,3,7,1,4]=>[7,2,5,3,6,1,4]=>([(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]
[2,6,5,3,7,4,1]=>[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]
[2,6,5,4,1,3,7]=>[4,2,1,5,6,3,7]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[2,6,5,4,1,7,3]=>[7,2,4,5,6,1,3]=>([(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]
[2,6,5,4,3,1,7]=>[3,2,4,5,6,1,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[2,6,5,4,3,7,1]=>[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]
[2,6,5,4,7,1,3]=>[7,2,1,5,6,4,3]=>([(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]
[2,6,5,4,7,3,1]=>[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]
[2,6,5,7,1,3,4]=>[7,2,1,3,6,5,4]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,5,7,1,4,3]=>[4,2,7,1,6,5,3]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,6,5,7,3,1,4]=>[3,2,7,1,6,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,6,5,7,3,4,1]=>[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]
[2,6,5,7,4,1,3]=>[4,2,1,7,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,6,5,7,4,3,1]=>[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]
[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,6,7,1,3,5,4]=>[5,2,1,7,3,6,4]=>([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,6,7,1,4,3,5]=>[4,2,7,1,3,6,5]=>([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,6,7,1,4,5,3]=>[5,2,7,1,4,6,3]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,6,7,1,5,3,4]=>[5,2,7,1,3,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,6,7,1,5,4,3]=>[4,2,5,7,1,6,3]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,6,7,3,1,4,5]=>[3,2,7,1,4,6,5]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,6,7,3,1,5,4]=>[3,2,5,7,1,6,4]=>([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,6,7,3,4,1,5]=>[4,2,7,3,1,6,5]=>([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,3,4,5,1]=>[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]
[2,6,7,3,5,1,4]=>[5,2,7,3,1,6,4]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,6,7,3,5,4,1]=>[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]
[2,6,7,4,1,3,5]=>[4,2,1,7,3,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>[7]
[2,6,7,4,1,5,3]=>[5,2,4,7,1,6,3]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,6,7,4,3,1,5]=>[3,2,4,7,1,6,5]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,6,7,4,3,5,1]=>[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]
[2,6,7,4,5,1,3]=>[5,2,1,7,4,6,3]=>([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,6,7,4,5,3,1]=>[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]
[2,6,7,5,1,3,4]=>[5,2,1,3,7,6,4]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,6,7,5,1,4,3]=>[4,2,5,1,7,6,3]=>([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,6,7,5,3,1,4]=>[3,2,5,1,7,6,4]=>([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>[7]
[2,6,7,5,3,4,1]=>[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]
[2,6,7,5,4,1,3]=>[4,2,1,5,7,6,3]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,6,7,5,4,3,1]=>[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]
[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,3,4,6,5]=>[6,2,1,3,7,4,5]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,1,3,5,4,6]=>[5,2,1,7,3,4,6]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,1,3,5,6,4]=>[6,2,1,7,3,5,4]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,3,6,4,5]=>[6,2,1,7,3,4,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,1,3,6,5,4]=>[5,2,1,6,7,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,7,1,4,3,5,6]=>[4,2,7,1,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>[7]
[2,7,1,4,3,6,5]=>[4,2,6,1,7,3,5]=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,7,1,4,5,3,6]=>[5,2,7,1,4,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,1,4,5,6,3]=>[6,2,7,1,4,5,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,7,1,4,6,3,5]=>[6,2,7,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,1,4,6,5,3]=>[5,2,6,1,7,4,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,5,3,4,6]=>[5,2,7,1,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>[7]
[2,7,1,5,3,6,4]=>[6,2,5,7,1,3,4]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,1,5,4,3,6]=>[4,2,5,7,1,3,6]=>([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,7,1,5,4,6,3]=>[6,2,5,7,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,1,5,6,3,4]=>[6,2,7,1,3,5,4]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,1,5,6,4,3]=>[4,2,6,7,1,5,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,1,6,3,4,5]=>[6,2,7,1,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,1,6,3,5,4]=>[5,2,6,7,1,3,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)=>[7]
[2,7,1,6,4,3,5]=>[4,2,6,7,1,3,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,1,6,4,5,3]=>[5,2,6,7,1,4,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,7,1,6,5,3,4]=>[5,2,6,1,7,3,4]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,1,6,5,4,3]=>[4,2,5,6,7,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,3,1,4,5,6]=>[3,2,7,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,7,3,1,4,6,5]=>[3,2,6,1,7,4,5]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,3,1,5,4,6]=>[3,2,5,7,1,4,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,7,3,1,5,6,4]=>[3,2,6,7,1,5,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,7,3,1,6,4,5]=>[3,2,6,7,1,4,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,7,3,1,6,5,4]=>[3,2,5,6,7,1,4]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,3,4,1,5,6]=>[4,2,7,3,1,5,6]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,3,4,1,6,5]=>[4,2,6,3,7,1,5]=>([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,4,5,1,6]=>[5,2,7,3,4,1,6]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,3,4,5,6,1]=>[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]
[2,7,3,4,6,1,5]=>[6,2,7,3,4,1,5]=>([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,3,4,6,5,1]=>[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]
[2,7,3,5,1,4,6]=>[5,2,7,3,1,4,6]=>([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,3,5,1,6,4]=>[6,2,5,7,3,1,4]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,5,4,1,6]=>[4,2,5,7,3,1,6]=>([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,5,4,6,1]=>[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]
[2,7,3,5,6,1,4]=>[6,2,7,3,1,5,4]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,7,3,5,6,4,1]=>[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]
[2,7,3,6,1,4,5]=>[6,2,7,3,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,7,3,6,1,5,4]=>[5,2,6,7,3,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,6,4,1,5]=>[4,2,6,7,3,1,5]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,3,6,4,5,1]=>[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]
[2,7,3,6,5,1,4]=>[5,2,6,3,7,1,4]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,7,3,6,5,4,1]=>[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]
[2,7,4,1,3,5,6]=>[4,2,1,7,3,5,6]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>[7]
[2,7,4,1,3,6,5]=>[4,2,1,6,7,3,5]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,4,1,5,3,6]=>[5,2,4,7,1,3,6]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,4,1,5,6,3]=>[6,2,4,7,1,5,3]=>([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,4,1,6,3,5]=>[6,2,4,7,1,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,7,4,1,6,5,3]=>[5,2,4,6,7,1,3]=>([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,7,4,3,1,5,6]=>[3,2,4,7,1,5,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,4,3,1,6,5]=>[3,2,4,6,7,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,4,3,5,1,6]=>[5,2,4,7,3,1,6]=>([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,3,5,6,1]=>[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]
[2,7,4,3,6,1,5]=>[6,2,4,7,3,1,5]=>([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,3,6,5,1]=>[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]
[2,7,4,5,1,3,6]=>[5,2,1,7,4,3,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,4,5,1,6,3]=>[6,2,5,7,4,1,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,5,3,1,6]=>[3,2,5,7,4,1,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,5,3,6,1]=>[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]
[2,7,4,5,6,1,3]=>[6,2,1,7,4,5,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,5,6,3,1]=>[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]
[2,7,4,6,1,3,5]=>[6,2,1,7,4,3,5]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,6,1,5,3]=>[5,2,6,7,4,1,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,6,3,1,5]=>[3,2,6,7,4,1,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,6,3,5,1]=>[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]
[2,7,4,6,5,1,3]=>[5,2,1,6,7,4,3]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,4,6,5,3,1]=>[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]
[2,7,5,1,3,4,6]=>[5,2,1,3,7,4,6]=>([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,5,1,3,6,4]=>[6,2,1,5,7,3,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,1,4,3,6]=>[4,2,5,1,7,3,6]=>([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)=>[7]
[2,7,5,1,4,6,3]=>[6,2,5,1,7,4,3]=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,1,6,3,4]=>[6,2,5,1,7,3,4]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,1,6,4,3]=>[4,2,6,5,7,1,3]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,5,3,1,4,6]=>[3,2,5,1,7,4,6]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)=>[7]
[2,7,5,3,1,6,4]=>[3,2,6,5,7,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,3,4,1,6]=>[4,2,5,3,7,1,6]=>([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,3,4,6,1]=>[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]
[2,7,5,3,6,1,4]=>[6,2,5,3,7,1,4]=>([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,3,6,4,1]=>[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]
[2,7,5,4,1,3,6]=>[4,2,1,5,7,3,6]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>[7]
[2,7,5,4,1,6,3]=>[6,2,4,5,7,1,3]=>([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,5,4,3,1,6]=>[3,2,4,5,7,1,6]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,4,3,6,1]=>[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]
[2,7,5,4,6,1,3]=>[6,2,1,5,7,4,3]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,4,6,3,1]=>[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]
[2,7,5,6,1,3,4]=>[6,2,1,3,7,5,4]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,5,6,1,4,3]=>[4,2,6,1,7,5,3]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>[7]
[2,7,5,6,3,1,4]=>[3,2,6,1,7,5,4]=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[2,7,5,6,3,4,1]=>[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]
[2,7,5,6,4,1,3]=>[4,2,1,6,7,5,3]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,5,6,4,3,1]=>[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]
[2,7,6,1,3,4,5]=>[6,2,1,3,4,7,5]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,1,3,5,4]=>[5,2,1,6,3,7,4]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[2,7,6,1,4,3,5]=>[4,2,6,1,3,7,5]=>([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)=>[7]
[2,7,6,1,4,5,3]=>[5,2,6,1,4,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[2,7,6,1,5,3,4]=>[5,2,6,1,3,7,4]=>([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[2,7,6,1,5,4,3]=>[4,2,5,6,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>[7]
[2,7,6,3,1,4,5]=>[3,2,6,1,4,7,5]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>[7]
[2,7,6,3,1,5,4]=>[3,2,5,6,1,7,4]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,6,3,4,1,5]=>[4,2,6,3,1,7,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,6,3,4,5,1]=>[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]
[2,7,6,3,5,1,4]=>[5,2,6,3,1,7,4]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,6,3,5,4,1]=>[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]
[2,7,6,4,1,3,5]=>[4,2,1,6,3,7,5]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)=>[7]
[2,7,6,4,1,5,3]=>[5,2,4,6,1,7,3]=>([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,6,4,3,1,5]=>[3,2,4,6,1,7,5]=>([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[2,7,6,4,3,5,1]=>[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]
[2,7,6,4,5,1,3]=>[5,2,1,6,4,7,3]=>([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[2,7,6,4,5,3,1]=>[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]
[2,7,6,5,1,3,4]=>[5,2,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[2,7,6,5,1,4,3]=>[4,2,5,1,6,7,3]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>[7]
[2,7,6,5,3,1,4]=>[3,2,5,1,6,7,4]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>[7]
[2,7,6,5,3,4,1]=>[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]
[2,7,6,5,4,1,3]=>[4,2,1,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>([(4,6),(5,6)],7)=>[3,1,1,1,1]
[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[3,1,2,4,6,7,5]=>[3,1,2,4,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[3,1,2,4,7,6,5]=>[3,1,2,4,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>[3,2,2]
[3,1,2,5,6,4,7]=>[3,1,2,6,5,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[3,1,2,5,6,7,4]=>[3,1,2,7,5,6,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[3,1,2,5,7,4,6]=>[3,1,2,7,5,4,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,1,2,5,7,6,4]=>[3,1,2,6,5,7,4]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[3,1,2,6,4,7,5]=>[3,1,2,7,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[3,1,2,6,5,4,7]=>[3,1,2,5,6,4,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[3,1,2,6,5,7,4]=>[3,1,2,7,6,5,4]=>([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,1,2,6,7,4,5]=>[3,1,2,7,4,6,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,1,2,6,7,5,4]=>[3,1,2,5,7,6,4]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[4,3]
[3,1,2,7,4,6,5]=>[3,1,2,6,7,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>[4,3]
[3,1,2,7,5,4,6]=>[3,1,2,5,7,4,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>[4,3]
[3,1,2,7,5,6,4]=>[3,1,2,6,7,5,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[3,1,2,7,6,4,5]=>[3,1,2,6,4,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>[4,3]
[3,1,2,7,6,5,4]=>[3,1,2,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[4,3]
[3,1,4,2,5,6,7]=>[4,3,1,2,5,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,1,4,2,5,7,6]=>[4,3,1,2,5,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[3,1,4,2,6,5,7]=>[4,3,1,2,6,5,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[3,1,4,2,6,7,5]=>[4,3,1,2,7,6,5]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,1,4,2,7,5,6]=>[4,3,1,2,7,5,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[3,1,4,2,7,6,5]=>[4,3,1,2,6,7,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[3,1,4,5,2,6,7]=>[5,3,1,4,2,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,1,4,5,2,7,6]=>[5,3,1,4,2,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,1,4,5,6,2,7]=>[6,3,1,4,5,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,4,5,6,7,2]=>[7,3,1,4,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,5,7,2,6]=>[7,3,1,4,5,2,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,5,7,6,2]=>[6,3,1,4,5,7,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,6,2,5,7]=>[6,3,1,4,2,5,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,4,6,2,7,5]=>[7,3,1,4,6,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,6,5,2,7]=>[5,3,1,4,6,2,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,4,6,5,7,2]=>[7,3,1,4,6,5,2]=>([(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]
[3,1,4,6,7,2,5]=>[7,3,1,4,2,6,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,6,7,5,2]=>[5,3,1,4,7,6,2]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,2,5,6]=>[7,3,1,4,2,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,2,6,5]=>[6,3,1,4,7,2,5]=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,5,2,6]=>[5,3,1,4,7,2,6]=>([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,5,6,2]=>[6,3,1,4,7,5,2]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,6,2,5]=>[6,3,1,4,2,7,5]=>([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,4,7,6,5,2]=>[5,3,1,4,6,7,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,2,4,6,7]=>[5,3,1,2,4,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,1,5,2,4,7,6]=>[5,3,1,2,4,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,1,5,2,6,4,7]=>[6,3,1,5,2,4,7]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[3,1,5,2,6,7,4]=>[7,3,1,5,2,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,5,2,7,4,6]=>[7,3,1,5,2,4,6]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,5,2,7,6,4]=>[6,3,1,5,2,7,4]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,5,4,2,6,7]=>[4,3,1,5,2,6,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,1,5,4,2,7,6]=>[4,3,1,5,2,7,6]=>([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,1,5,4,6,2,7]=>[6,3,1,5,4,2,7]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,5,4,6,7,2]=>[7,3,1,5,4,6,2]=>([(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]
[3,1,5,4,7,2,6]=>[7,3,1,5,4,2,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,4,7,6,2]=>[6,3,1,5,4,7,2]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,6,2,4,7]=>[6,3,1,2,5,4,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,5,6,2,7,4]=>[7,3,1,6,5,2,4]=>([(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]
[3,1,5,6,4,2,7]=>[4,3,1,6,5,2,7]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,5,6,4,7,2]=>[7,3,1,6,5,4,2]=>([(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]
[3,1,5,6,7,2,4]=>[7,3,1,2,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,5,6,7,4,2]=>[4,3,1,7,5,6,2]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,7,2,4,6]=>[7,3,1,2,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,7,2,6,4]=>[6,3,1,7,5,2,4]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,5,7,4,2,6]=>[4,3,1,7,5,2,6]=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,5,7,4,6,2]=>[6,3,1,7,5,4,2]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(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]=>[6,3,1,2,5,7,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,5,7,6,4,2]=>[4,3,1,6,5,7,2]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,2,4,5,7]=>[6,3,1,2,4,5,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,6,2,4,7,5]=>[7,3,1,2,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,6,2,5,4,7]=>[5,3,1,6,2,4,7]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,6,2,5,7,4]=>[7,3,1,6,2,5,4]=>([(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]
[3,1,6,2,7,4,5]=>[7,3,1,6,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,2,7,5,4]=>[5,3,1,7,6,2,4]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,4,2,5,7]=>[4,3,1,6,2,5,7]=>([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,6,4,2,7,5]=>[4,3,1,7,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,4,5,2,7]=>[5,3,1,6,4,2,7]=>([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,6,4,5,7,2]=>[7,3,1,6,4,5,2]=>([(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]
[3,1,6,4,7,2,5]=>[7,3,1,6,4,2,5]=>([(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]
[3,1,6,4,7,5,2]=>[5,3,1,7,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,5,2,4,7]=>[5,3,1,2,6,4,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[3,1,6,5,2,7,4]=>[7,3,1,5,6,2,4]=>([(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]
[3,1,6,5,4,2,7]=>[4,3,1,5,6,2,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,1,6,5,4,7,2]=>[7,3,1,5,6,4,2]=>([(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]
[3,1,6,5,7,2,4]=>[7,3,1,2,6,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,6,5,7,4,2]=>[4,3,1,7,6,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,7,2,4,5]=>[7,3,1,2,4,6,5]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,7,2,5,4]=>[5,3,1,7,2,6,4]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>[7]
[3,1,6,7,4,2,5]=>[4,3,1,7,2,6,5]=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[3,1,6,7,4,5,2]=>[5,3,1,7,4,6,2]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,6,7,5,2,4]=>[5,3,1,2,7,6,4]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,6,7,5,4,2]=>[4,3,1,5,7,6,2]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,4,5,6]=>[7,3,1,2,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,4,6,5]=>[6,3,1,2,7,4,5]=>([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,5,4,6]=>[5,3,1,7,2,4,6]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[3,1,7,2,5,6,4]=>[6,3,1,7,2,5,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,6,4,5]=>[6,3,1,7,2,4,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,2,6,5,4]=>[5,3,1,6,7,2,4]=>([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,4,2,5,6]=>[4,3,1,7,2,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[3,1,7,4,2,6,5]=>[4,3,1,6,7,2,5]=>([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,4,5,2,6]=>[5,3,1,7,4,2,6]=>([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,1,7,4,5,6,2]=>[6,3,1,7,4,5,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,4,6,2,5]=>[6,3,1,7,4,2,5]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,4,6,5,2]=>[5,3,1,6,7,4,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,5,2,4,6]=>[5,3,1,2,7,4,6]=>([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[7]
[3,1,7,5,2,6,4]=>[6,3,1,5,7,2,4]=>([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,5,4,2,6]=>[4,3,1,5,7,2,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,5,4,6,2]=>[6,3,1,5,7,4,2]=>([(0,4),(0,5),(1,2),(1,6),(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]=>[6,3,1,2,7,5,4]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,5,6,4,2]=>[4,3,1,6,7,5,2]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,6,2,4,5]=>[6,3,1,2,4,7,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,7,6,2,5,4]=>[5,3,1,6,2,7,4]=>([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,7,6,4,2,5]=>[4,3,1,6,2,7,5]=>([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,6,4,5,2]=>[5,3,1,6,4,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,1,7,6,5,2,4]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,1,7,6,5,4,2]=>[4,3,1,5,6,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>([(4,6),(5,6)],7)=>[3,1,1,1,1]
[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[3,2,1,4,7,5,6]=>[2,3,1,4,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>([(2,3),(4,6),(5,6)],7)=>[3,2,1,1]
[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>([(0,3),(1,2),(4,6),(5,6)],7)=>[3,2,2]
[3,2,1,5,6,4,7]=>[2,3,1,6,5,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[3,3,1]
[3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[3,2,1,5,7,4,6]=>[2,3,1,7,5,4,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,2,1,6,4,5,7]=>[2,3,1,6,4,5,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[3,2,1,6,4,7,5]=>[2,3,1,7,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>([(1,6),(2,6),(3,5),(4,5)],7)=>[3,3,1]
[3,2,1,6,5,7,4]=>[2,3,1,7,6,5,4]=>([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,2,1,6,7,4,5]=>[2,3,1,7,4,6,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,2,1,7,4,5,6]=>[2,3,1,7,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[4,3]
[3,2,1,7,4,6,5]=>[2,3,1,6,7,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>[4,3]
[3,2,1,7,5,4,6]=>[2,3,1,5,7,4,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>[4,3]
[3,2,1,7,5,6,4]=>[2,3,1,6,7,5,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[3,2,1,7,6,4,5]=>[2,3,1,6,4,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>[4,3]
[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[4,3]
[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5]=>([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,2,4,1,7,5,6]=>[4,3,2,1,7,5,6]=>([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5]=>([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,4,5,6,7,1]=>[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]
[3,2,4,5,7,1,6]=>[7,3,2,4,5,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,5,7,6,1]=>[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]
[3,2,4,6,1,5,7]=>[6,3,2,4,1,5,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,4,6,1,7,5]=>[7,3,2,4,6,1,5]=>([(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]
[3,2,4,6,5,1,7]=>[5,3,2,4,6,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,4,6,5,7,1]=>[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]
[3,2,4,6,7,1,5]=>[7,3,2,4,1,6,5]=>([(0,1),(0,6),(1,6),(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]=>[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]
[3,2,4,7,1,5,6]=>[7,3,2,4,1,5,6]=>([(0,6),(1,6),(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]=>[6,3,2,4,7,1,5]=>([(0,1),(0,6),(1,5),(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]=>[5,3,2,4,7,1,6]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,7,5,6,1]=>[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]
[3,2,4,7,6,1,5]=>[6,3,2,4,1,7,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,4,7,6,5,1]=>[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]
[3,2,5,1,4,6,7]=>[5,3,2,1,4,6,7]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,2,5,1,4,7,6]=>[5,3,2,1,4,7,6]=>([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,2,5,1,6,4,7]=>[6,3,2,5,1,4,7]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,5,1,6,7,4]=>[7,3,2,5,1,6,4]=>([(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]
[3,2,5,1,7,4,6]=>[7,3,2,5,1,4,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,1,7,6,4]=>[6,3,2,5,1,7,4]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,5,4,1,6,7]=>[4,3,2,5,1,6,7]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,2,5,4,1,7,6]=>[4,3,2,5,1,7,6]=>([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,5,4,6,7,1]=>[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]
[3,2,5,4,7,1,6]=>[7,3,2,5,4,1,6]=>([(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]
[3,2,5,4,7,6,1]=>[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]
[3,2,5,6,1,4,7]=>[6,3,2,1,5,4,7]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,5,6,1,7,4]=>[7,3,2,6,5,1,4]=>([(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]
[3,2,5,6,4,1,7]=>[4,3,2,6,5,1,7]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,5,6,4,7,1]=>[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]
[3,2,5,6,7,1,4]=>[7,3,2,1,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,5,6,7,4,1]=>[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]
[3,2,5,7,1,4,6]=>[7,3,2,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,7,1,6,4]=>[6,3,2,7,5,1,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,5,7,4,1,6]=>[4,3,2,7,5,1,6]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,5,7,4,6,1]=>[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]
[3,2,5,7,6,1,4]=>[6,3,2,1,5,7,4]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,5,7,6,4,1]=>[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]
[3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,6,1,4,7,5]=>[7,3,2,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,6,1,5,4,7]=>[5,3,2,6,1,4,7]=>([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,6,1,5,7,4]=>[7,3,2,6,1,5,4]=>([(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]
[3,2,6,1,7,4,5]=>[7,3,2,6,1,4,5]=>([(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]
[3,2,6,1,7,5,4]=>[5,3,2,7,6,1,4]=>([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,4,1,5,7]=>[4,3,2,6,1,5,7]=>([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,6,4,1,7,5]=>[4,3,2,7,6,1,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,4,5,1,7]=>[5,3,2,6,4,1,7]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,6,4,5,7,1]=>[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]
[3,2,6,4,7,1,5]=>[7,3,2,6,4,1,5]=>([(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]
[3,2,6,4,7,5,1]=>[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]
[3,2,6,5,1,4,7]=>[5,3,2,1,6,4,7]=>([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,6,5,1,7,4]=>[7,3,2,5,6,1,4]=>([(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]
[3,2,6,5,4,1,7]=>[4,3,2,5,6,1,7]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,2,6,5,4,7,1]=>[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]
[3,2,6,5,7,1,4]=>[7,3,2,1,6,5,4]=>([(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]
[3,2,6,5,7,4,1]=>[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]
[3,2,6,7,1,4,5]=>[7,3,2,1,4,6,5]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,6,7,1,5,4]=>[5,3,2,7,1,6,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[3,2,6,7,4,1,5]=>[4,3,2,7,1,6,5]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,6,7,4,5,1]=>[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]
[3,2,6,7,5,1,4]=>[5,3,2,1,7,6,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,6,7,5,4,1]=>[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]
[3,2,7,1,4,5,6]=>[7,3,2,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,1,4,6,5]=>[6,3,2,1,7,4,5]=>([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,1,5,4,6]=>[5,3,2,7,1,4,6]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,2,7,1,5,6,4]=>[6,3,2,7,1,5,4]=>([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,1,6,4,5]=>[6,3,2,7,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,2,7,1,6,5,4]=>[5,3,2,6,7,1,4]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,2,7,4,1,5,6]=>[4,3,2,7,1,5,6]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,7,4,1,6,5]=>[4,3,2,6,7,1,5]=>([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,4,5,1,6]=>[5,3,2,7,4,1,6]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,7,4,5,6,1]=>[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]
[3,2,7,4,6,1,5]=>[6,3,2,7,4,1,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,2,7,4,6,5,1]=>[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]
[3,2,7,5,1,4,6]=>[5,3,2,1,7,4,6]=>([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,5,1,6,4]=>[6,3,2,5,7,1,4]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,2,7,5,4,1,6]=>[4,3,2,5,7,1,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,5,4,6,1]=>[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]
[3,2,7,5,6,1,4]=>[6,3,2,1,7,5,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,5,6,4,1]=>[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]
[3,2,7,6,1,4,5]=>[6,3,2,1,4,7,5]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,6,1,5,4]=>[5,3,2,6,1,7,4]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,2,7,6,4,1,5]=>[4,3,2,6,1,7,5]=>([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,2,7,6,4,5,1]=>[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]
[3,2,7,6,5,1,4]=>[5,3,2,1,6,7,4]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,2,7,6,5,4,1]=>[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]
[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,4,1,2,5,7,6]=>[4,1,3,2,5,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[3,4,1,2,6,5,7]=>[4,1,3,2,6,5,7]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[3,4,1,2,6,7,5]=>[4,1,3,2,7,6,5]=>([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,4,1,2,7,5,6]=>[4,1,3,2,7,5,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,4,1,2,7,6,5]=>[4,1,3,2,6,7,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,4,1,5,2,6,7]=>[5,4,3,1,2,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,4,1,5,2,7,6]=>[5,4,3,1,2,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,4,1,5,6,2,7]=>[6,4,3,1,5,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,1,5,6,7,2]=>[7,4,3,1,5,6,2]=>([(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]
[3,4,1,5,7,2,6]=>[7,4,3,1,5,2,6]=>([(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]
[3,4,1,5,7,6,2]=>[6,4,3,1,5,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,6,2,5,7]=>[6,4,3,1,2,5,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,1,6,2,7,5]=>[7,4,3,1,6,2,5]=>([(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]
[3,4,1,6,5,2,7]=>[5,4,3,1,6,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,1,6,5,7,2]=>[7,4,3,1,6,5,2]=>([(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]
[3,4,1,6,7,2,5]=>[7,4,3,1,2,6,5]=>([(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]
[3,4,1,6,7,5,2]=>[5,4,3,1,7,6,2]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,2,5,6]=>[7,4,3,1,2,5,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,2,6,5]=>[6,4,3,1,7,2,5]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,5,2,6]=>[5,4,3,1,7,2,6]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,5,6,2]=>[6,4,3,1,7,5,2]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,6,2,5]=>[6,4,3,1,2,7,5]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,1,7,6,5,2]=>[5,4,3,1,6,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[3,4,2,1,5,7,6]=>[2,4,3,1,5,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[3,4,2,1,6,5,7]=>[2,4,3,1,6,5,7]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[3,4,2,1,6,7,5]=>[2,4,3,1,7,6,5]=>([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,4,2,1,7,5,6]=>[2,4,3,1,7,5,6]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5]=>([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)=>[4,3]
[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6]=>([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,2,5,6,7,1]=>[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]
[3,4,2,5,7,1,6]=>[7,4,3,2,5,1,6]=>([(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]
[3,4,2,5,7,6,1]=>[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]
[3,4,2,6,1,5,7]=>[6,4,3,2,1,5,7]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,2,6,1,7,5]=>[7,4,3,2,6,1,5]=>([(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]
[3,4,2,6,5,1,7]=>[5,4,3,2,6,1,7]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,2,6,5,7,1]=>[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]
[3,4,2,6,7,1,5]=>[7,4,3,2,1,6,5]=>([(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]
[3,4,2,6,7,5,1]=>[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]
[3,4,2,7,1,5,6]=>[7,4,3,2,1,5,6]=>([(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]
[3,4,2,7,1,6,5]=>[6,4,3,2,7,1,5]=>([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,7,5,1,6]=>[5,4,3,2,7,1,6]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,7,5,6,1]=>[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]
[3,4,2,7,6,1,5]=>[6,4,3,2,1,7,5]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,2,7,6,5,1]=>[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]
[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,4,5,1,2,7,6]=>[5,1,3,4,2,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,4,5,1,6,2,7]=>[6,5,3,4,1,2,7]=>([(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)=>[6,1]
[3,4,5,1,6,7,2]=>[7,5,3,4,1,6,2]=>([(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]
[3,4,5,1,7,2,6]=>[7,5,3,4,1,2,6]=>([(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]
[3,4,5,1,7,6,2]=>[6,5,3,4,1,7,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[2,5,3,4,1,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,4,5,2,1,7,6]=>[2,5,3,4,1,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,5,2,6,7,1]=>[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]
[3,4,5,2,7,1,6]=>[7,5,3,4,2,1,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,2,7,6,1]=>[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]
[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,5,6,1,7,2]=>[7,6,3,4,5,1,2]=>([(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]
[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,5,6,2,7,1]=>[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]
[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,6,7,2,1]=>[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]
[3,4,5,7,1,2,6]=>[7,1,3,4,5,2,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,7,1,6,2]=>[6,7,3,4,5,1,2]=>([(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)],7)=>[7]
[3,4,5,7,2,1,6]=>[2,7,3,4,5,1,6]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,7,2,6,1]=>[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]
[3,4,5,7,6,1,2]=>[6,1,3,4,5,7,2]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,5,7,6,2,1]=>[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]
[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,6,1,2,7,5]=>[7,1,3,4,6,2,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,1,5,2,7]=>[5,6,3,4,1,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[3,4,6,1,5,7,2]=>[7,6,3,4,1,5,2]=>([(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]
[3,4,6,1,7,2,5]=>[7,6,3,4,1,2,5]=>([(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]
[3,4,6,1,7,5,2]=>[5,7,3,4,6,1,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,4,6,2,1,5,7]=>[2,6,3,4,1,5,7]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,6,2,1,7,5]=>[2,7,3,4,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,2,5,1,7]=>[5,6,3,4,2,1,7]=>([(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)=>[6,1]
[3,4,6,2,5,7,1]=>[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]
[3,4,6,2,7,1,5]=>[7,6,3,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(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]=>[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]
[3,4,6,5,1,2,7]=>[5,1,3,4,6,2,7]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,6,5,1,7,2]=>[7,5,3,4,6,1,2]=>([(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]
[3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,4,6,5,2,7,1]=>[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]
[3,4,6,5,7,1,2]=>[7,1,3,4,6,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,5,7,2,1]=>[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]
[3,4,6,7,1,2,5]=>[7,1,3,4,2,6,5]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,7,1,5,2]=>[5,7,3,4,1,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,7,2,1,5]=>[2,7,3,4,1,6,5]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,7,2,5,1]=>[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]
[3,4,6,7,5,1,2]=>[5,1,3,4,7,6,2]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,6,7,5,2,1]=>[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]
[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,1,2,6,5]=>[6,1,3,4,7,2,5]=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,1,5,2,6]=>[5,7,3,4,1,2,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,4,7,1,5,6,2]=>[6,7,3,4,1,5,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,4,7,1,6,2,5]=>[6,7,3,4,1,2,5]=>([(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)],7)=>[7]
[3,4,7,1,6,5,2]=>[5,6,3,4,7,1,2]=>([(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)],7)=>[7]
[3,4,7,2,1,5,6]=>[2,7,3,4,1,5,6]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,2,1,6,5]=>[2,6,3,4,7,1,5]=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,2,5,1,6]=>[5,7,3,4,2,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,2,5,6,1]=>[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]
[3,4,7,2,6,1,5]=>[6,7,3,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,4,7,2,6,5,1]=>[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]
[3,4,7,5,1,2,6]=>[5,1,3,4,7,2,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,4,7,5,1,6,2]=>[6,5,3,4,7,1,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,4,7,5,2,1,6]=>[2,5,3,4,7,1,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,4,7,5,2,6,1]=>[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]
[3,4,7,5,6,1,2]=>[6,1,3,4,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,5,6,2,1]=>[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]
[3,4,7,6,1,2,5]=>[6,1,3,4,2,7,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,4,7,6,1,5,2]=>[5,6,3,4,1,7,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,4,7,6,2,1,5]=>[2,6,3,4,1,7,5]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,4,7,6,2,5,1]=>[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]
[3,4,7,6,5,1,2]=>[5,1,3,4,6,7,2]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,4,7,6,5,2,1]=>[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]
[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,5,1,2,4,7,6]=>[5,1,3,2,4,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,5,1,2,6,4,7]=>[6,1,3,5,2,4,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,1,2,6,7,4]=>[7,1,3,5,2,6,4]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,2,7,4,6]=>[7,1,3,5,2,4,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,2,7,6,4]=>[6,1,3,5,2,7,4]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,1,4,2,6,7]=>[4,5,3,1,2,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[3,5,1,4,2,7,6]=>[4,5,3,1,2,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,2]
[3,5,1,4,6,2,7]=>[6,5,3,1,4,2,7]=>([(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)=>[6,1]
[3,5,1,4,6,7,2]=>[7,5,3,1,4,6,2]=>([(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]
[3,5,1,4,7,2,6]=>[7,5,3,1,4,2,6]=>([(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]
[3,5,1,4,7,6,2]=>[6,5,3,1,4,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,6,2,4,7]=>[6,5,3,1,2,4,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,1,6,2,7,4]=>[7,6,3,5,1,2,4]=>([(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]
[3,5,1,6,4,2,7]=>[4,6,3,5,1,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[3,5,1,6,4,7,2]=>[7,6,3,5,1,4,2]=>([(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]
[3,5,1,6,7,2,4]=>[7,5,3,1,2,6,4]=>([(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]
[3,5,1,6,7,4,2]=>[4,7,3,5,1,6,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,7,2,4,6]=>[7,5,3,1,2,4,6]=>([(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]
[3,5,1,7,2,6,4]=>[6,7,3,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[4,7,3,5,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(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]=>[6,7,3,5,1,4,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,5,1,7,6,2,4]=>[6,5,3,1,2,7,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,1,7,6,4,2]=>[4,6,3,5,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,5,2,1,4,6,7]=>[2,5,3,1,4,6,7]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,5,2,1,4,7,6]=>[2,5,3,1,4,7,6]=>([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,5,2,1,6,4,7]=>[2,6,3,5,1,4,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,2,1,6,7,4]=>[2,7,3,5,1,6,4]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,1,7,4,6]=>[2,7,3,5,1,4,6]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,1,7,6,4]=>[2,6,3,5,1,7,4]=>([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,4,1,6,7]=>[4,5,3,2,1,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,5,2,4,1,7,6]=>[4,5,3,2,1,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,5,2,4,6,1,7]=>[6,5,3,2,4,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,2,4,6,7,1]=>[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]
[3,5,2,4,7,1,6]=>[7,5,3,2,4,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,4,7,6,1]=>[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]
[3,5,2,6,1,4,7]=>[6,5,3,2,1,4,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,2,6,1,7,4]=>[7,6,3,5,2,1,4]=>([(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]
[3,5,2,6,4,1,7]=>[4,6,3,5,2,1,7]=>([(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)=>[6,1]
[3,5,2,6,4,7,1]=>[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]
[3,5,2,6,7,1,4]=>[7,5,3,2,1,6,4]=>([(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]
[3,5,2,6,7,4,1]=>[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]
[3,5,2,7,1,4,6]=>[7,5,3,2,1,4,6]=>([(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]
[3,5,2,7,1,6,4]=>[6,7,3,5,2,1,4]=>([(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)],7)=>[7]
[3,5,2,7,4,1,6]=>[4,7,3,5,2,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,7,4,6,1]=>[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]
[3,5,2,7,6,1,4]=>[6,5,3,2,1,7,4]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,2,7,6,4,1]=>[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]
[3,5,4,1,2,6,7]=>[4,1,3,5,2,6,7]=>([(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,5,4,1,2,7,6]=>[4,1,3,5,2,7,6]=>([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,5,4,1,6,2,7]=>[6,4,3,5,1,2,7]=>([(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)=>[6,1]
[3,5,4,1,6,7,2]=>[7,4,3,5,1,6,2]=>([(0,5),(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]
[3,5,4,1,7,2,6]=>[7,4,3,5,1,2,6]=>([(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]
[3,5,4,1,7,6,2]=>[6,4,3,5,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[3,5,4,2,1,7,6]=>[2,4,3,5,1,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[3,5,4,2,6,1,7]=>[6,4,3,5,2,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,4,2,6,7,1]=>[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]
[3,5,4,2,7,1,6]=>[7,4,3,5,2,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,2,7,6,1]=>[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]
[3,5,4,6,1,2,7]=>[6,1,3,5,4,2,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,4,6,1,7,2]=>[7,6,3,5,4,1,2]=>([(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),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,6,2,1,7]=>[2,6,3,5,4,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,4,6,2,7,1]=>[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]
[3,5,4,6,7,1,2]=>[7,1,3,5,4,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,4,6,7,2,1]=>[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]
[3,5,4,7,1,2,6]=>[7,1,3,5,4,2,6]=>([(0,6),(1,6),(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]=>[6,7,3,5,4,1,2]=>([(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),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,5,4,7,2,1,6]=>[2,7,3,5,4,1,6]=>([(0,6),(1,5),(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]=>[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]
[3,5,4,7,6,1,2]=>[6,1,3,5,4,7,2]=>([(0,6),(1,5),(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]=>[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]
[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[3,5,6,1,2,7,4]=>[7,1,3,6,5,2,4]=>([(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]
[3,5,6,1,4,2,7]=>[4,6,3,1,5,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,6,1,4,7,2]=>[7,6,3,1,5,4,2]=>([(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]
[3,5,6,1,7,2,4]=>[7,6,3,1,5,2,4]=>([(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]
[3,5,6,1,7,4,2]=>[4,7,3,6,5,1,2]=>([(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)],7)=>[7]
[3,5,6,2,1,4,7]=>[2,6,3,1,5,4,7]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,6,2,1,7,4]=>[2,7,3,6,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,2,4,1,7]=>[4,6,3,2,5,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,6,2,4,7,1]=>[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]
[3,5,6,2,7,1,4]=>[7,6,3,2,5,1,4]=>([(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]
[3,5,6,2,7,4,1]=>[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]
[3,5,6,4,1,2,7]=>[4,1,3,6,5,2,7]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,5,6,4,1,7,2]=>[7,4,3,6,5,1,2]=>([(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]
[3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[3,5,6,4,2,7,1]=>[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]
[3,5,6,4,7,1,2]=>[7,1,3,6,5,4,2]=>([(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]
[3,5,6,4,7,2,1]=>[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]
[3,5,6,7,1,2,4]=>[7,1,3,2,5,6,4]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,7,1,4,2]=>[4,7,3,1,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,6,7,2,1,4]=>[2,7,3,1,5,6,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,6,7,2,4,1]=>[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]
[3,5,6,7,4,1,2]=>[4,1,3,7,5,6,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,6,7,4,2,1]=>[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]
[3,5,7,1,2,4,6]=>[7,1,3,2,5,4,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,7,1,2,6,4]=>[6,1,3,7,5,2,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,1,4,2,6]=>[4,7,3,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,1,4,6,2]=>[6,7,3,1,5,4,2]=>([(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)],7)=>[7]
[3,5,7,1,6,2,4]=>[6,7,3,1,5,2,4]=>([(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)],7)=>[7]
[3,5,7,1,6,4,2]=>[4,6,3,7,5,1,2]=>([(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)],7)=>[7]
[3,5,7,2,1,4,6]=>[2,7,3,1,5,4,6]=>([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,2,1,6,4]=>[2,6,3,7,5,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,2,4,1,6]=>[4,7,3,2,5,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,2,4,6,1]=>[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]
[3,5,7,2,6,1,4]=>[6,7,3,2,5,1,4]=>([(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)],7)=>[7]
[3,5,7,2,6,4,1]=>[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]
[3,5,7,4,1,2,6]=>[4,1,3,7,5,2,6]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,7,4,1,6,2]=>[6,4,3,7,5,1,2]=>([(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)],7)=>[7]
[3,5,7,4,2,1,6]=>[2,4,3,7,5,1,6]=>([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,4,2,6,1]=>[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]
[3,5,7,4,6,1,2]=>[6,1,3,7,5,4,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,4,6,2,1]=>[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]
[3,5,7,6,1,2,4]=>[6,1,3,2,5,7,4]=>([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,6,1,4,2]=>[4,6,3,1,5,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,6,2,1,4]=>[2,6,3,1,5,7,4]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,5,7,6,2,4,1]=>[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]
[3,5,7,6,4,1,2]=>[4,1,3,6,5,7,2]=>([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,5,7,6,4,2,1]=>[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]
[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,1,2,4,7,5]=>[7,1,3,2,6,4,5]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,2,5,4,7]=>[5,1,3,6,2,4,7]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,1,2,5,7,4]=>[7,1,3,6,2,5,4]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,2,7,4,5]=>[7,1,3,6,2,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,2,7,5,4]=>[5,1,3,7,6,2,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[3,6,1,4,2,5,7]=>[4,6,3,1,2,5,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,1,4,2,7,5]=>[4,7,3,1,6,2,5]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,4,5,2,7]=>[5,6,3,1,4,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[3,6,1,4,5,7,2]=>[7,6,3,1,4,5,2]=>([(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]
[3,6,1,4,7,2,5]=>[7,6,3,1,4,2,5]=>([(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]
[3,6,1,4,7,5,2]=>[5,7,3,1,6,4,2]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,5,2,4,7]=>[5,6,3,1,2,4,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[3,6,1,5,2,7,4]=>[7,5,3,6,1,2,4]=>([(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]
[3,6,1,5,4,2,7]=>[4,5,3,6,1,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[3,6,1,5,4,7,2]=>[7,5,3,6,1,4,2]=>([(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]
[3,6,1,5,7,2,4]=>[7,6,3,1,2,5,4]=>([(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]
[3,6,1,5,7,4,2]=>[4,7,3,6,1,5,2]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,7,2,4,5]=>[7,6,3,1,2,4,5]=>([(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]
[3,6,1,7,2,5,4]=>[5,7,3,6,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[3,6,1,7,4,2,5]=>[4,7,3,6,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,7,4,5,2]=>[5,7,3,6,1,4,2]=>([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,7,5,2,4]=>[5,7,3,1,6,2,4]=>([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,1,7,5,4,2]=>[4,5,3,7,6,1,2]=>([(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)],7)=>[7]
[3,6,2,1,4,5,7]=>[2,6,3,1,4,5,7]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,2,1,4,7,5]=>[2,7,3,1,6,4,5]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,1,5,4,7]=>[2,5,3,6,1,4,7]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,2,1,5,7,4]=>[2,7,3,6,1,5,4]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,1,7,4,5]=>[2,7,3,6,1,4,5]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,1,7,5,4]=>[2,5,3,7,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,2,4,1,5,7]=>[4,6,3,2,1,5,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,2,4,1,7,5]=>[4,7,3,2,6,1,5]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,4,5,1,7]=>[5,6,3,2,4,1,7]=>([(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)=>[6,1]
[3,6,2,4,5,7,1]=>[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]
[3,6,2,4,7,1,5]=>[7,6,3,2,4,1,5]=>([(0,5),(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]
[3,6,2,4,7,5,1]=>[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]
[3,6,2,5,1,4,7]=>[5,6,3,2,1,4,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[3,6,2,5,1,7,4]=>[7,5,3,6,2,1,4]=>([(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]
[3,6,2,5,4,1,7]=>[4,5,3,6,2,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,2,5,4,7,1]=>[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]
[3,6,2,5,7,1,4]=>[7,6,3,2,1,5,4]=>([(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]
[3,6,2,5,7,4,1]=>[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]
[3,6,2,7,1,4,5]=>[7,6,3,2,1,4,5]=>([(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]
[3,6,2,7,1,5,4]=>[5,7,3,6,2,1,4]=>([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,7,4,1,5]=>[4,7,3,6,2,1,5]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,2,7,4,5,1]=>[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]
[3,6,2,7,5,1,4]=>[5,7,3,2,6,1,4]=>([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,6,2,7,5,4,1]=>[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]
[3,6,4,1,2,5,7]=>[4,1,3,6,2,5,7]=>([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,4,1,2,7,5]=>[4,1,3,7,6,2,5]=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,4,1,5,2,7]=>[5,4,3,6,1,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[3,6,4,1,5,7,2]=>[7,4,3,6,1,5,2]=>([(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]
[3,6,4,1,7,2,5]=>[7,4,3,6,1,2,5]=>([(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]
[3,6,4,1,7,5,2]=>[5,4,3,7,6,1,2]=>([(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)],7)=>[7]
[3,6,4,2,1,5,7]=>[2,4,3,6,1,5,7]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[3,6,4,2,1,7,5]=>[2,4,3,7,6,1,5]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,2,5,1,7]=>[5,4,3,6,2,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,4,2,5,7,1]=>[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]
[3,6,4,2,7,1,5]=>[7,4,3,6,2,1,5]=>([(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]
[3,6,4,2,7,5,1]=>[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]
[3,6,4,5,1,2,7]=>[5,1,3,6,4,2,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,4,5,1,7,2]=>[7,5,3,6,4,1,2]=>([(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]
[3,6,4,5,2,1,7]=>[2,5,3,6,4,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,4,5,2,7,1]=>[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]
[3,6,4,5,7,1,2]=>[7,1,3,6,4,5,2]=>([(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]
[3,6,4,5,7,2,1]=>[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]
[3,6,4,7,1,2,5]=>[7,1,3,6,4,2,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,7,1,5,2]=>[5,7,3,6,4,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,6,4,7,2,1,5]=>[2,7,3,6,4,1,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,7,2,5,1]=>[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]
[3,6,4,7,5,1,2]=>[5,1,3,7,6,4,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,4,7,5,2,1]=>[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]
[3,6,5,1,2,4,7]=>[5,1,3,2,6,4,7]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[3,6,5,1,2,7,4]=>[7,1,3,5,6,2,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,1,4,2,7]=>[4,5,3,1,6,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,5,1,4,7,2]=>[7,5,3,1,6,4,2]=>([(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]
[3,6,5,1,7,2,4]=>[7,5,3,1,6,2,4]=>([(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]
[3,6,5,1,7,4,2]=>[4,7,3,5,6,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,5,2,1,4,7]=>[2,5,3,1,6,4,7]=>([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,5,2,1,7,4]=>[2,7,3,5,6,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,2,4,1,7]=>[4,5,3,2,6,1,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,5,2,4,7,1]=>[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]
[3,6,5,2,7,1,4]=>[7,5,3,2,6,1,4]=>([(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]
[3,6,5,2,7,4,1]=>[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]
[3,6,5,4,1,2,7]=>[4,1,3,5,6,2,7]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,5,4,1,7,2]=>[7,4,3,5,6,1,2]=>([(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]
[3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[3,6,5,4,2,7,1]=>[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]
[3,6,5,4,7,1,2]=>[7,1,3,5,6,4,2]=>([(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]
[3,6,5,4,7,2,1]=>[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]
[3,6,5,7,1,2,4]=>[7,1,3,2,6,5,4]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,7,1,4,2]=>[4,7,3,1,6,5,2]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,5,7,2,1,4]=>[2,7,3,1,6,5,4]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,5,7,2,4,1]=>[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]
[3,6,5,7,4,1,2]=>[4,1,3,7,6,5,2]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,5,7,4,2,1]=>[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]
[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,6,7,1,2,5,4]=>[5,1,3,7,2,6,4]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[3,6,7,1,4,2,5]=>[4,7,3,1,2,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,1,4,5,2]=>[5,7,3,1,4,6,2]=>([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,1,5,2,4]=>[5,7,3,1,2,6,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[3,6,7,1,5,4,2]=>[4,5,3,7,1,6,2]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[3,6,7,2,1,4,5]=>[2,7,3,1,4,6,5]=>([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,2,1,5,4]=>[2,5,3,7,1,6,4]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[3,6,7,2,4,1,5]=>[4,7,3,2,1,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,2,4,5,1]=>[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]
[3,6,7,2,5,1,4]=>[5,7,3,2,1,6,4]=>([(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)],7)=>[7]
[3,6,7,2,5,4,1]=>[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]
[3,6,7,4,1,2,5]=>[4,1,3,7,2,6,5]=>([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,6,7,4,1,5,2]=>[5,4,3,7,1,6,2]=>([(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)],7)=>[7]
[3,6,7,4,2,1,5]=>[2,4,3,7,1,6,5]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[3,6,7,4,2,5,1]=>[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]
[3,6,7,4,5,1,2]=>[5,1,3,7,4,6,2]=>([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,4,5,2,1]=>[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]
[3,6,7,5,1,2,4]=>[5,1,3,2,7,6,4]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[3,6,7,5,1,4,2]=>[4,5,3,1,7,6,2]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,5,2,1,4]=>[2,5,3,1,7,6,4]=>([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,6,7,5,2,4,1]=>[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]
[3,6,7,5,4,1,2]=>[4,1,3,5,7,6,2]=>([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,6,7,5,4,2,1]=>[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]
[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,1,2,4,6,5]=>[6,1,3,2,7,4,5]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,2,5,4,6]=>[5,1,3,7,2,4,6]=>([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,7,1,2,5,6,4]=>[6,1,3,7,2,5,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,2,6,4,5]=>[6,1,3,7,2,4,5]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,7,1,2,6,5,4]=>[5,1,3,6,7,2,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[3,7,1,4,2,5,6]=>[4,7,3,1,2,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,1,4,2,6,5]=>[4,6,3,1,7,2,5]=>([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,1,4,5,2,6]=>[5,7,3,1,4,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,1,4,5,6,2]=>[6,7,3,1,4,5,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,4,6,2,5]=>[6,7,3,1,4,2,5]=>([(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)],7)=>[7]
[3,7,1,4,6,5,2]=>[5,6,3,1,7,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,1,5,2,4,6]=>[5,7,3,1,2,4,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,1,5,2,6,4]=>[6,5,3,7,1,2,4]=>([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,1,5,4,2,6]=>[4,5,3,7,1,2,6]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[3,7,1,5,4,6,2]=>[6,5,3,7,1,4,2]=>([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,1,5,6,2,4]=>[6,7,3,1,2,5,4]=>([(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)],7)=>[7]
[3,7,1,5,6,4,2]=>[4,6,3,7,1,5,2]=>([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,1,6,2,4,5]=>[6,7,3,1,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,1,6,2,5,4]=>[5,6,3,7,1,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,1,6,4,2,5]=>[4,6,3,7,1,2,5]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,6,4,5,2]=>[5,6,3,7,1,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[3,7,1,6,5,2,4]=>[5,6,3,1,7,2,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,1,6,5,4,2]=>[4,5,3,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,2,1,4,5,6]=>[2,7,3,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,2,1,4,6,5]=>[2,6,3,1,7,4,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,2,1,5,4,6]=>[2,5,3,7,1,4,6]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[3,7,2,1,5,6,4]=>[2,6,3,7,1,5,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[3,7,2,1,6,4,5]=>[2,6,3,7,1,4,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[3,7,2,1,6,5,4]=>[2,5,3,6,7,1,4]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,7,2,4,1,5,6]=>[4,7,3,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,2,4,1,6,5]=>[4,6,3,2,7,1,5]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,2,4,5,1,6]=>[5,7,3,2,4,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,7,2,4,5,6,1]=>[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]
[3,7,2,4,6,1,5]=>[6,7,3,2,4,1,5]=>([(0,5),(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)],7)=>[7]
[3,7,2,4,6,5,1]=>[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]
[3,7,2,5,1,4,6]=>[5,7,3,2,1,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,2,5,1,6,4]=>[6,5,3,7,2,1,4]=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,2,5,4,1,6]=>[4,5,3,7,2,1,6]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,2,5,4,6,1]=>[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]
[3,7,2,5,6,1,4]=>[6,7,3,2,1,5,4]=>([(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)],7)=>[7]
[3,7,2,5,6,4,1]=>[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]
[3,7,2,6,1,4,5]=>[6,7,3,2,1,4,5]=>([(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)],7)=>[7]
[3,7,2,6,1,5,4]=>[5,6,3,7,2,1,4]=>([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,2,6,4,1,5]=>[4,6,3,7,2,1,5]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,2,6,4,5,1]=>[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]
[3,7,2,6,5,1,4]=>[5,6,3,2,7,1,4]=>([(0,1),(0,6),(1,4),(1,5),(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]=>[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]
[3,7,4,1,2,5,6]=>[4,1,3,7,2,5,6]=>([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,1,2,6,5]=>[4,1,3,6,7,2,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,1,5,2,6]=>[5,4,3,7,1,2,6]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,4,1,5,6,2]=>[6,4,3,7,1,5,2]=>([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,7,4,1,6,2,5]=>[6,4,3,7,1,2,5]=>([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,1,6,5,2]=>[5,4,3,6,7,1,2]=>([(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)],7)=>[7]
[3,7,4,2,1,5,6]=>[2,4,3,7,1,5,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,2,1,6,5]=>[2,4,3,6,7,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,2,5,1,6]=>[5,4,3,7,2,1,6]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,2,5,6,1]=>[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]
[3,7,4,2,6,1,5]=>[6,4,3,7,2,1,5]=>([(0,1),(0,6),(1,4),(1,5),(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]=>[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]
[3,7,4,5,1,2,6]=>[5,1,3,7,4,2,6]=>([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,5,1,6,2]=>[6,5,3,7,4,1,2]=>([(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)],7)=>[7]
[3,7,4,5,2,1,6]=>[2,5,3,7,4,1,6]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,5,2,6,1]=>[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]
[3,7,4,5,6,1,2]=>[6,1,3,7,4,5,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,5,6,2,1]=>[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]
[3,7,4,6,1,2,5]=>[6,1,3,7,4,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,6,1,5,2]=>[5,6,3,7,4,1,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,4,6,2,1,5]=>[2,6,3,7,4,1,5]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,6,2,5,1]=>[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]
[3,7,4,6,5,1,2]=>[5,1,3,6,7,4,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,4,6,5,2,1]=>[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]
[3,7,5,1,2,4,6]=>[5,1,3,2,7,4,6]=>([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,5,1,2,6,4]=>[6,1,3,5,7,2,4]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,1,4,2,6]=>[4,5,3,1,7,2,6]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,1,4,6,2]=>[6,5,3,1,7,4,2]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,1,6,2,4]=>[6,5,3,1,7,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(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]=>[4,6,3,5,7,1,2]=>([(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)],7)=>[7]
[3,7,5,2,1,4,6]=>[2,5,3,1,7,4,6]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)=>[7]
[3,7,5,2,1,6,4]=>[2,6,3,5,7,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,2,4,1,6]=>[4,5,3,2,7,1,6]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,2,4,6,1]=>[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]
[3,7,5,2,6,1,4]=>[6,5,3,2,7,1,4]=>([(0,1),(0,6),(1,4),(1,5),(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]=>[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]
[3,7,5,4,1,2,6]=>[4,1,3,5,7,2,6]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,4,1,6,2]=>[6,4,3,5,7,1,2]=>([(0,5),(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)],7)=>[7]
[3,7,5,4,2,1,6]=>[2,4,3,5,7,1,6]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,4,2,6,1]=>[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]
[3,7,5,4,6,1,2]=>[6,1,3,5,7,4,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,4,6,2,1]=>[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]
[3,7,5,6,1,2,4]=>[6,1,3,2,7,5,4]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,6,1,4,2]=>[4,6,3,1,7,5,2]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,5,6,2,1,4]=>[2,6,3,1,7,5,4]=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,5,6,2,4,1]=>[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]
[3,7,5,6,4,1,2]=>[4,1,3,6,7,5,2]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,5,6,4,2,1]=>[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]
[3,7,6,1,2,4,5]=>[6,1,3,2,4,7,5]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,1,2,5,4]=>[5,1,3,6,2,7,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[3,7,6,1,4,2,5]=>[4,6,3,1,2,7,5]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,1,4,5,2]=>[5,6,3,1,4,7,2]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,6,1,5,2,4]=>[5,6,3,1,2,7,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[3,7,6,1,5,4,2]=>[4,5,3,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,6,2,1,4,5]=>[2,6,3,1,4,7,5]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,2,1,5,4]=>[2,5,3,6,1,7,4]=>([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[3,7,6,2,4,1,5]=>[4,6,3,2,1,7,5]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,2,4,5,1]=>[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]
[3,7,6,2,5,1,4]=>[5,6,3,2,1,7,4]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,6,2,5,4,1]=>[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]
[3,7,6,4,1,2,5]=>[4,1,3,6,2,7,5]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)=>[7]
[3,7,6,4,1,5,2]=>[5,4,3,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,6,4,2,1,5]=>[2,4,3,6,1,7,5]=>([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[3,7,6,4,2,5,1]=>[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]
[3,7,6,4,5,1,2]=>[5,1,3,6,4,7,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,4,5,2,1]=>[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]
[3,7,6,5,1,2,4]=>[5,1,3,2,6,7,4]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,6,5,1,4,2]=>[4,5,3,1,6,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,5,2,1,4]=>[2,5,3,1,6,7,4]=>([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[3,7,6,5,2,4,1]=>[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]
[3,7,6,5,4,1,2]=>[4,1,3,5,6,7,2]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>([(3,6),(4,6),(5,6)],7)=>[4,1,1,1]
[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[4,1,2,3,6,7,5]=>[4,1,2,3,7,6,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[4,3]
[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[4,3]
[4,1,2,3,7,6,5]=>[4,1,2,3,6,7,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[4,3]
[4,1,2,5,3,6,7]=>[5,1,4,2,3,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,1,2,5,3,7,6]=>[5,1,4,2,3,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,1,2,5,6,3,7]=>[6,1,4,2,5,3,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,2,5,6,7,3]=>[7,1,4,2,5,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,5,7,3,6]=>[7,1,4,2,5,3,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,5,7,6,3]=>[6,1,4,2,5,7,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,6,3,5,7]=>[6,1,4,2,3,5,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,2,6,3,7,5]=>[7,1,4,2,6,3,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,2,6,5,3,7]=>[5,1,4,2,6,3,7]=>([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,2,6,5,7,3]=>[7,1,4,2,6,5,3]=>([(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]=>[7,1,4,2,3,6,5]=>([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,6,7,5,3]=>[5,1,4,2,7,6,3]=>([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,3,5,6]=>[7,1,4,2,3,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,3,6,5]=>[6,1,4,2,7,3,5]=>([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,5,3,6]=>[5,1,4,2,7,3,6]=>([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,5,6,3]=>[6,1,4,2,7,5,3]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,2,7,6,3,5]=>[6,1,4,2,3,7,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,2,7,6,5,3]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,2,5,6,7]=>[3,4,1,2,5,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>[4,1,1,1]
[4,1,3,2,5,7,6]=>[3,4,1,2,5,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>[4,2,1]
[4,1,3,2,6,5,7]=>[3,4,1,2,6,5,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>[4,2,1]
[4,1,3,2,6,7,5]=>[3,4,1,2,7,6,5]=>([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)=>[4,3]
[4,1,3,2,7,5,6]=>[3,4,1,2,7,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>[4,3]
[4,1,3,2,7,6,5]=>[3,4,1,2,6,7,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>[4,3]
[4,1,3,5,2,6,7]=>[5,4,1,3,2,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,1,3,5,2,7,6]=>[5,4,1,3,2,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,1,3,5,6,2,7]=>[6,4,1,3,5,2,7]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,3,5,6,7,2]=>[7,4,1,3,5,6,2]=>([(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]
[4,1,3,5,7,2,6]=>[7,4,1,3,5,2,6]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,5,7,6,2]=>[6,4,1,3,5,7,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,6,2,5,7]=>[6,4,1,3,2,5,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,3,6,2,7,5]=>[7,4,1,3,6,2,5]=>([(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]
[4,1,3,6,5,2,7]=>[5,4,1,3,6,2,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,3,6,5,7,2]=>[7,4,1,3,6,5,2]=>([(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]
[4,1,3,6,7,2,5]=>[7,4,1,3,2,6,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,6,7,5,2]=>[5,4,1,3,7,6,2]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,2,5,6]=>[7,4,1,3,2,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,2,6,5]=>[6,4,1,3,7,2,5]=>([(0,1),(0,6),(1,4),(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]=>[5,4,1,3,7,2,6]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,5,6,2]=>[6,4,1,3,7,5,2]=>([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,6,2,5]=>[6,4,1,3,2,7,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,3,7,6,5,2]=>[5,4,1,3,6,7,2]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,2,3,6,7]=>[5,4,1,2,3,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,1,5,2,3,7,6]=>[5,4,1,2,3,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,1,5,2,6,3,7]=>[6,5,4,1,2,3,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,5,2,6,7,3]=>[7,5,4,1,2,6,3]=>([(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]
[4,1,5,2,7,3,6]=>[7,5,4,1,2,3,6]=>([(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]
[4,1,5,2,7,6,3]=>[6,5,4,1,2,7,3]=>([(0,3),(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]
[4,1,5,3,2,6,7]=>[3,5,4,1,2,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[4,1,5,3,2,7,6]=>[3,5,4,1,2,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[4,1,5,3,6,2,7]=>[6,5,4,1,3,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,5,3,6,7,2]=>[7,5,4,1,3,6,2]=>([(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]
[4,1,5,3,7,2,6]=>[7,5,4,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,3,7,6,2]=>[6,5,4,1,3,7,2]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,6,2,3,7]=>[6,4,1,2,5,3,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,5,6,2,7,3]=>[7,6,4,1,5,2,3]=>([(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]
[4,1,5,6,3,2,7]=>[3,6,4,1,5,2,7]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,5,6,3,7,2]=>[7,6,4,1,5,3,2]=>([(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]
[4,1,5,6,7,2,3]=>[7,4,1,2,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,6,7,3,2]=>[3,7,4,1,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,7,2,3,6]=>[7,4,1,2,5,3,6]=>([(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]=>[6,7,4,1,5,2,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,5,7,3,2,6]=>[3,7,4,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,7,3,6,2]=>[6,7,4,1,5,3,2]=>([(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)],7)=>[7]
[4,1,5,7,6,2,3]=>[6,4,1,2,5,7,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,5,7,6,3,2]=>[3,6,4,1,5,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,2,3,5,7]=>[6,4,1,2,3,5,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,6,2,3,7,5]=>[7,4,1,2,6,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,2,5,3,7]=>[5,6,4,1,2,3,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[4,1,6,2,5,7,3]=>[7,6,4,1,2,5,3]=>([(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]
[4,1,6,2,7,3,5]=>[7,6,4,1,2,3,5]=>([(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]
[4,1,6,2,7,5,3]=>[5,7,4,1,6,2,3]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,3,2,5,7]=>[3,6,4,1,2,5,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[4,1,6,3,2,7,5]=>[3,7,4,1,6,2,5]=>([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,3,5,2,7]=>[5,6,4,1,3,2,7]=>([(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)=>[6,1]
[4,1,6,3,5,7,2]=>[7,6,4,1,3,5,2]=>([(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]
[4,1,6,3,7,2,5]=>[7,6,4,1,3,2,5]=>([(0,5),(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]
[4,1,6,3,7,5,2]=>[5,7,4,1,6,3,2]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,5,2,3,7]=>[5,4,1,2,6,3,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,1,6,5,2,7,3]=>[7,5,4,1,6,2,3]=>([(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]
[4,1,6,5,3,2,7]=>[3,5,4,1,6,2,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[4,1,6,5,3,7,2]=>[7,5,4,1,6,3,2]=>([(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]
[4,1,6,5,7,2,3]=>[7,4,1,2,6,5,3]=>([(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]
[4,1,6,5,7,3,2]=>[3,7,4,1,6,5,2]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,1,6,7,2,3,5]=>[7,4,1,2,3,6,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,2,5,3]=>[5,7,4,1,2,6,3]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,3,2,5]=>[3,7,4,1,2,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,3,5,2]=>[5,7,4,1,3,6,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,5,2,3]=>[5,4,1,2,7,6,3]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,6,7,5,3,2]=>[3,5,4,1,7,6,2]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,2,3,5,6]=>[7,4,1,2,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,2,3,6,5]=>[6,4,1,2,7,3,5]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,2,5,3,6]=>[5,7,4,1,2,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,1,7,2,5,6,3]=>[6,7,4,1,2,5,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,2,6,3,5]=>[6,7,4,1,2,3,5]=>([(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)],7)=>[7]
[4,1,7,2,6,5,3]=>[5,6,4,1,7,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,3,2,5,6]=>[3,7,4,1,2,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,3,2,6,5]=>[3,6,4,1,7,2,5]=>([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,3,5,2,6]=>[5,7,4,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,1,7,3,5,6,2]=>[6,7,4,1,3,5,2]=>([(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)],7)=>[7]
[4,1,7,3,6,2,5]=>[6,7,4,1,3,2,5]=>([(0,5),(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)],7)=>[7]
[4,1,7,3,6,5,2]=>[5,6,4,1,7,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[5,4,1,2,7,3,6]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,5,2,6,3]=>[6,5,4,1,7,2,3]=>([(0,2),(0,3),(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]
[4,1,7,5,3,2,6]=>[3,5,4,1,7,2,6]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,1,7,5,3,6,2]=>[6,5,4,1,7,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,5,6,2,3]=>[6,4,1,2,7,5,3]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,5,6,3,2]=>[3,6,4,1,7,5,2]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,6,2,3,5]=>[6,4,1,2,3,7,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,6,2,5,3]=>[5,6,4,1,2,7,3]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,6,3,2,5]=>[3,6,4,1,2,7,5]=>([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,1,7,6,3,5,2]=>[5,6,4,1,3,7,2]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,6,5,2,3]=>[5,4,1,2,6,7,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,1,7,6,5,3,2]=>[3,5,4,1,6,7,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>([(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[4,2,1,3,5,7,6]=>[2,4,1,3,5,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,2,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,2,1,3,6,7,5]=>[2,4,1,3,7,6,5]=>([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>[4,3]
[4,2,1,3,7,5,6]=>[2,4,1,3,7,5,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>[4,3]
[4,2,1,3,7,6,5]=>[2,4,1,3,6,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>[4,3]
[4,2,1,5,3,6,7]=>[2,5,4,1,3,6,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,2,1,5,3,7,6]=>[2,5,4,1,3,7,6]=>([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,2,1,5,6,3,7]=>[2,6,4,1,5,3,7]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[4,2,1,5,6,7,3]=>[2,7,4,1,5,6,3]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,1,5,7,3,6]=>[2,7,4,1,5,3,6]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,1,5,7,6,3]=>[2,6,4,1,5,7,3]=>([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,6,3,5,7]=>[2,6,4,1,3,5,7]=>([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,1,6,3,7,5]=>[2,7,4,1,6,3,5]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,1,6,5,3,7]=>[2,5,4,1,6,3,7]=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[4,2,1,6,5,7,3]=>[2,7,4,1,6,5,3]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,1,6,7,3,5]=>[2,7,4,1,3,6,5]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,6,7,5,3]=>[2,5,4,1,7,6,3]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,2,1,7,3,5,6]=>[2,7,4,1,3,5,6]=>([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,7,3,6,5]=>[2,6,4,1,7,3,5]=>([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,2,1,7,5,3,6]=>[2,5,4,1,7,3,6]=>([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,2,1,7,5,6,3]=>[2,6,4,1,7,5,3]=>([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,2,1,7,6,3,5]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,1,7,6,5,3]=>[2,5,4,1,6,7,3]=>([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,1,1,1]
[4,2,3,1,5,7,6]=>[3,4,2,1,5,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[4,2,3,1,6,5,7]=>[3,4,2,1,6,5,7]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,2,1]
[4,2,3,1,6,7,5]=>[3,4,2,1,7,6,5]=>([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[4,3]
[4,2,3,1,7,5,6]=>[3,4,2,1,7,5,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[4,2,3,1,7,6,5]=>[3,4,2,1,6,7,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[4,3]
[4,2,3,5,1,6,7]=>[5,4,2,3,1,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,2,3,5,1,7,6]=>[5,4,2,3,1,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,2,3,5,6,1,7]=>[6,4,2,3,5,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,3,5,6,7,1]=>[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]
[4,2,3,5,7,1,6]=>[7,4,2,3,5,1,6]=>([(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]
[4,2,3,5,7,6,1]=>[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]
[4,2,3,6,1,5,7]=>[6,4,2,3,1,5,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,3,6,1,7,5]=>[7,4,2,3,6,1,5]=>([(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]
[4,2,3,6,5,1,7]=>[5,4,2,3,6,1,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,3,6,5,7,1]=>[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]
[4,2,3,6,7,1,5]=>[7,4,2,3,1,6,5]=>([(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]
[4,2,3,6,7,5,1]=>[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]
[4,2,3,7,1,5,6]=>[7,4,2,3,1,5,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,7,1,6,5]=>[6,4,2,3,7,1,5]=>([(0,1),(0,6),(1,5),(2,4),(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]=>[5,4,2,3,7,1,6]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,7,5,6,1]=>[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]
[4,2,3,7,6,1,5]=>[6,4,2,3,1,7,5]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,3,7,6,5,1]=>[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]
[4,2,5,1,3,6,7]=>[5,4,2,1,3,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,2,5,1,3,7,6]=>[5,4,2,1,3,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,2,5,1,6,3,7]=>[6,5,4,2,1,3,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,5,1,6,7,3]=>[7,5,4,2,1,6,3]=>([(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]
[4,2,5,1,7,3,6]=>[7,5,4,2,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,1,7,6,3]=>[6,5,4,2,1,7,3]=>([(0,3),(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]
[4,2,5,3,1,6,7]=>[3,5,4,2,1,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,2,5,3,1,7,6]=>[3,5,4,2,1,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,2,5,3,6,1,7]=>[6,5,4,2,3,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,5,3,6,7,1]=>[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]
[4,2,5,3,7,1,6]=>[7,5,4,2,3,1,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,3,7,6,1]=>[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]
[4,2,5,6,1,3,7]=>[6,4,2,1,5,3,7]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,5,6,1,7,3]=>[7,6,4,2,5,1,3]=>([(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]
[4,2,5,6,3,1,7]=>[3,6,4,2,5,1,7]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,5,6,3,7,1]=>[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]
[4,2,5,6,7,1,3]=>[7,4,2,1,5,6,3]=>([(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]
[4,2,5,6,7,3,1]=>[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]
[4,2,5,7,1,3,6]=>[7,4,2,1,5,3,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,7,1,6,3]=>[6,7,4,2,5,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,2,5,7,3,1,6]=>[3,7,4,2,5,1,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,7,3,6,1]=>[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]
[4,2,5,7,6,1,3]=>[6,4,2,1,5,7,3]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,5,7,6,3,1]=>[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]
[4,2,6,1,3,5,7]=>[6,4,2,1,3,5,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,6,1,3,7,5]=>[7,4,2,1,6,3,5]=>([(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]
[4,2,6,1,5,3,7]=>[5,6,4,2,1,3,7]=>([(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)=>[6,1]
[4,2,6,1,5,7,3]=>[7,6,4,2,1,5,3]=>([(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]
[4,2,6,1,7,3,5]=>[7,6,4,2,1,3,5]=>([(0,5),(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]
[4,2,6,1,7,5,3]=>[5,7,4,2,6,1,3]=>([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,3,1,5,7]=>[3,6,4,2,1,5,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,6,3,1,7,5]=>[3,7,4,2,6,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,3,5,1,7]=>[5,6,4,2,3,1,7]=>([(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)=>[6,1]
[4,2,6,3,5,7,1]=>[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]
[4,2,6,3,7,1,5]=>[7,6,4,2,3,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,3,7,5,1]=>[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]
[4,2,6,5,1,3,7]=>[5,4,2,1,6,3,7]=>([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,6,5,1,7,3]=>[7,5,4,2,6,1,3]=>([(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]
[4,2,6,5,3,1,7]=>[3,5,4,2,6,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,2,6,5,3,7,1]=>[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]
[4,2,6,5,7,1,3]=>[7,4,2,1,6,5,3]=>([(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]
[4,2,6,5,7,3,1]=>[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]
[4,2,6,7,1,3,5]=>[7,4,2,1,3,6,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,7,1,5,3]=>[5,7,4,2,1,6,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,7,3,1,5]=>[3,7,4,2,1,6,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,7,3,5,1]=>[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]
[4,2,6,7,5,1,3]=>[5,4,2,1,7,6,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,6,7,5,3,1]=>[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]
[4,2,7,1,3,5,6]=>[7,4,2,1,3,5,6]=>([(0,6),(1,6),(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]=>[6,4,2,1,7,3,5]=>([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,1,5,3,6]=>[5,7,4,2,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,2,7,1,5,6,3]=>[6,7,4,2,1,5,3]=>([(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)],7)=>[7]
[4,2,7,1,6,3,5]=>[6,7,4,2,1,3,5]=>([(0,5),(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)],7)=>[7]
[4,2,7,1,6,5,3]=>[5,6,4,2,7,1,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,2,7,3,1,5,6]=>[3,7,4,2,1,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,3,1,6,5]=>[3,6,4,2,7,1,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,3,5,1,6]=>[5,7,4,2,3,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,3,5,6,1]=>[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]
[4,2,7,3,6,1,5]=>[6,7,4,2,3,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,2,7,3,6,5,1]=>[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]
[4,2,7,5,1,3,6]=>[5,4,2,1,7,3,6]=>([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,5,1,6,3]=>[6,5,4,2,7,1,3]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,5,3,1,6]=>[3,5,4,2,7,1,6]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,5,3,6,1]=>[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]
[4,2,7,5,6,1,3]=>[6,4,2,1,7,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,5,6,3,1]=>[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]
[4,2,7,6,1,3,5]=>[6,4,2,1,3,7,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,6,1,5,3]=>[5,6,4,2,1,7,3]=>([(0,5),(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]
[4,2,7,6,3,1,5]=>[3,6,4,2,1,7,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,6,3,5,1]=>[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]
[4,2,7,6,5,1,3]=>[5,4,2,1,6,7,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,2,7,6,5,3,1]=>[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]
[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>([(3,6),(4,5),(5,6)],7)=>[4,1,1,1]
[4,3,1,2,5,7,6]=>[3,1,4,2,5,7,6]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,3,1,2,6,5,7]=>[3,1,4,2,6,5,7]=>([(1,2),(3,6),(4,5),(5,6)],7)=>[4,2,1]
[4,3,1,2,6,7,5]=>[3,1,4,2,7,6,5]=>([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)=>[4,3]
[4,3,1,2,7,5,6]=>[3,1,4,2,7,5,6]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>[4,3]
[4,3,1,2,7,6,5]=>[3,1,4,2,6,7,5]=>([(0,6),(1,5),(2,4),(3,4),(5,6)],7)=>[4,3]
[4,3,1,5,2,6,7]=>[5,3,4,1,2,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[4,3,1,5,2,7,6]=>[5,3,4,1,2,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,2]
[4,3,1,5,6,2,7]=>[6,3,4,1,5,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,1,5,6,7,2]=>[7,3,4,1,5,6,2]=>([(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]
[4,3,1,5,7,2,6]=>[7,3,4,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,5,7,6,2]=>[6,3,4,1,5,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,6,2,5,7]=>[6,3,4,1,2,5,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[4,3,1,6,2,7,5]=>[7,3,4,1,6,2,5]=>([(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]
[4,3,1,6,5,2,7]=>[5,3,4,1,6,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,1,6,5,7,2]=>[7,3,4,1,6,5,2]=>([(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]
[4,3,1,6,7,2,5]=>[7,3,4,1,2,6,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,3,1,6,7,5,2]=>[5,3,4,1,7,6,2]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,7,2,5,6]=>[7,3,4,1,2,5,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,3,1,7,2,6,5]=>[6,3,4,1,7,2,5]=>([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,7,5,2,6]=>[5,3,4,1,7,2,6]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,7,5,6,2]=>[6,3,4,1,7,5,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,1,7,6,2,5]=>[6,3,4,1,2,7,5]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,3,1,7,6,5,2]=>[5,3,4,1,6,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]=>([(3,6),(4,6),(5,6)],7)=>[4,1,1,1]
[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7]=>([(1,2),(3,6),(4,6),(5,6)],7)=>[4,2,1]
[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>[4,3]
[4,3,2,1,7,5,6]=>[2,3,4,1,7,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[4,3]
[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>[4,3]
[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,3,2,5,1,7,6]=>[5,3,4,2,1,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,2,5,6,7,1]=>[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]
[4,3,2,5,7,1,6]=>[7,3,4,2,5,1,6]=>([(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]
[4,3,2,5,7,6,1]=>[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]
[4,3,2,6,1,5,7]=>[6,3,4,2,1,5,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,2,6,1,7,5]=>[7,3,4,2,6,1,5]=>([(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]
[4,3,2,6,5,1,7]=>[5,3,4,2,6,1,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,2,6,5,7,1]=>[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]
[4,3,2,6,7,1,5]=>[7,3,4,2,1,6,5]=>([(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]
[4,3,2,6,7,5,1]=>[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]
[4,3,2,7,1,5,6]=>[7,3,4,2,1,5,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,7,1,6,5]=>[6,3,4,2,7,1,5]=>([(0,1),(0,6),(1,5),(2,4),(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]=>[5,3,4,2,7,1,6]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,7,5,6,1]=>[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]
[4,3,2,7,6,1,5]=>[6,3,4,2,1,7,5]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,2,7,6,5,1]=>[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]
[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,3,5,1,2,7,6]=>[5,1,4,3,2,7,6]=>([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,3,5,1,6,2,7]=>[6,5,4,3,1,2,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,5,1,6,7,2]=>[7,5,4,3,1,6,2]=>([(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]
[4,3,5,1,7,2,6]=>[7,5,4,3,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,1,7,6,2]=>[6,5,4,3,1,7,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]=>([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,3,5,2,1,7,6]=>[2,5,4,3,1,7,6]=>([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,5,2,6,7,1]=>[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]
[4,3,5,2,7,1,6]=>[7,5,4,3,2,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,2,7,6,1]=>[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]
[4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,5,6,1,7,2]=>[7,6,4,3,5,1,2]=>([(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),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,5,6,2,7,1]=>[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]
[4,3,5,6,7,1,2]=>[7,1,4,3,5,6,2]=>([(0,6),(1,5),(1,6),(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]=>[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]
[4,3,5,7,1,2,6]=>[7,1,4,3,5,2,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,7,1,6,2]=>[6,7,4,3,5,1,2]=>([(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),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,3,5,7,2,1,6]=>[2,7,4,3,5,1,6]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,5,7,2,6,1]=>[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]
[4,3,5,7,6,1,2]=>[6,1,4,3,5,7,2]=>([(0,6),(1,5),(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]=>[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]
[4,3,6,1,2,5,7]=>[6,1,4,3,2,5,7]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,6,1,2,7,5]=>[7,1,4,3,6,2,5]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,1,5,2,7]=>[5,6,4,3,1,2,7]=>([(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)=>[6,1]
[4,3,6,1,5,7,2]=>[7,6,4,3,1,5,2]=>([(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]
[4,3,6,1,7,2,5]=>[7,6,4,3,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,1,7,5,2]=>[5,7,4,3,6,1,2]=>([(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)],7)=>[7]
[4,3,6,2,1,5,7]=>[2,6,4,3,1,5,7]=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,6,2,1,7,5]=>[2,7,4,3,6,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,2,5,1,7]=>[5,6,4,3,2,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,6,2,5,7,1]=>[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]
[4,3,6,2,7,1,5]=>[7,6,4,3,2,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,2,7,5,1]=>[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]
[4,3,6,5,1,2,7]=>[5,1,4,3,6,2,7]=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,6,5,1,7,2]=>[7,5,4,3,6,1,2]=>([(0,4),(0,5),(0,6),(1,2),(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]
[4,3,6,5,2,1,7]=>[2,5,4,3,6,1,7]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,3,6,5,2,7,1]=>[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]
[4,3,6,5,7,1,2]=>[7,1,4,3,6,5,2]=>([(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]
[4,3,6,5,7,2,1]=>[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]
[4,3,6,7,1,2,5]=>[7,1,4,3,2,6,5]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,7,1,5,2]=>[5,7,4,3,1,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,7,2,1,5]=>[2,7,4,3,1,6,5]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,7,2,5,1]=>[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]
[4,3,6,7,5,1,2]=>[5,1,4,3,7,6,2]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,6,7,5,2,1]=>[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]
[4,3,7,1,2,5,6]=>[7,1,4,3,2,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,1,2,6,5]=>[6,1,4,3,7,2,5]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,1,5,2,6]=>[5,7,4,3,1,2,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[6,7,4,3,1,5,2]=>([(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)],7)=>[7]
[4,3,7,1,6,2,5]=>[6,7,4,3,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,3,7,1,6,5,2]=>[5,6,4,3,7,1,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,3,7,2,1,5,6]=>[2,7,4,3,1,5,6]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,2,1,6,5]=>[2,6,4,3,7,1,5]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,2,5,1,6]=>[5,7,4,3,2,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,2,5,6,1]=>[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]
[4,3,7,2,6,1,5]=>[6,7,4,3,2,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,3,7,2,6,5,1]=>[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]
[4,3,7,5,1,2,6]=>[5,1,4,3,7,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,5,1,6,2]=>[6,5,4,3,7,1,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,3,7,5,2,1,6]=>[2,5,4,3,7,1,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,5,2,6,1]=>[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]
[4,3,7,5,6,1,2]=>[6,1,4,3,7,5,2]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,5,6,2,1]=>[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]
[4,3,7,6,1,2,5]=>[6,1,4,3,2,7,5]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,6,1,5,2]=>[5,6,4,3,1,7,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[2,6,4,3,1,7,5]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,6,2,5,1]=>[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]
[4,3,7,6,5,1,2]=>[5,1,4,3,6,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,3,7,6,5,2,1]=>[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]
[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,5,1,2,3,7,6]=>[5,1,2,4,3,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,5,1,2,6,3,7]=>[6,1,5,4,2,3,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,1,2,6,7,3]=>[7,1,5,4,2,6,3]=>([(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]
[4,5,1,2,7,3,6]=>[7,1,5,4,2,3,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,2,7,6,3]=>[6,1,5,4,2,7,3]=>([(0,5),(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]=>[3,5,1,4,2,6,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,5,1,3,2,7,6]=>[3,5,1,4,2,7,6]=>([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,5,1,3,6,2,7]=>[6,5,1,4,3,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,1,3,6,7,2]=>[7,5,1,4,3,6,2]=>([(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]
[4,5,1,3,7,2,6]=>[7,5,1,4,3,2,6]=>([(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]
[4,5,1,3,7,6,2]=>[6,5,1,4,3,7,2]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,6,2,3,7]=>[6,5,1,4,2,3,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,1,6,2,7,3]=>[7,6,5,4,1,2,3]=>([(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]
[4,5,1,6,3,2,7]=>[3,6,5,4,1,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[4,5,1,6,3,7,2]=>[7,6,5,4,1,3,2]=>([(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]
[4,5,1,6,7,2,3]=>[7,5,1,4,2,6,3]=>([(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]
[4,5,1,6,7,3,2]=>[3,7,5,4,1,6,2]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,5,1,7,2,3,6]=>[7,5,1,4,2,3,6]=>([(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]
[4,5,1,7,2,6,3]=>[6,7,5,4,1,2,3]=>([(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]
[4,5,1,7,3,2,6]=>[3,7,5,4,1,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,1,7,3,6,2]=>[6,7,5,4,1,3,2]=>([(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),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,7,6,2,3]=>[6,5,1,4,2,7,3]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,1,7,6,3,2]=>[3,6,5,4,1,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,5,2,1,3,6,7]=>[2,5,1,4,3,6,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[4,5,2,1,3,7,6]=>[2,5,1,4,3,7,6]=>([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,5,2,1,6,3,7]=>[2,6,5,4,1,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,2,1,6,7,3]=>[2,7,5,4,1,6,3]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,2,1,7,3,6]=>[2,7,5,4,1,3,6]=>([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,1,7,6,3]=>[2,6,5,4,1,7,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,5,2,3,1,6,7]=>[3,5,2,4,1,6,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,5,2,3,1,7,6]=>[3,5,2,4,1,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,5,2,3,6,1,7]=>[6,5,2,4,3,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,2,3,6,7,1]=>[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]
[4,5,2,3,7,1,6]=>[7,5,2,4,3,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,3,7,6,1]=>[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]
[4,5,2,6,1,3,7]=>[6,5,2,4,1,3,7]=>([(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)=>[6,1]
[4,5,2,6,1,7,3]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,6,3,1,7]=>[3,6,5,4,2,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,2,6,3,7,1]=>[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]
[4,5,2,6,7,1,3]=>[7,5,2,4,1,6,3]=>([(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]=>[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]
[4,5,2,7,1,3,6]=>[7,5,2,4,1,3,6]=>([(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]
[4,5,2,7,1,6,3]=>[6,7,5,4,2,1,3]=>([(0,3),(0,4),(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]
[4,5,2,7,3,1,6]=>[3,7,5,4,2,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,2,7,3,6,1]=>[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]
[4,5,2,7,6,1,3]=>[6,5,2,4,1,7,3]=>([(0,4),(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]
[4,5,2,7,6,3,1]=>[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]
[4,5,3,1,2,6,7]=>[3,1,5,4,2,6,7]=>([(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[4,5,3,1,2,7,6]=>[3,1,5,4,2,7,6]=>([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,5,3,1,6,2,7]=>[6,3,5,4,1,2,7]=>([(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)=>[6,1]
[4,5,3,1,6,7,2]=>[7,3,5,4,1,6,2]=>([(0,5),(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]
[4,5,3,1,7,2,6]=>[7,3,5,4,1,2,6]=>([(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]
[4,5,3,1,7,6,2]=>[6,3,5,4,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[4,5,3,2,1,7,6]=>[2,3,5,4,1,7,6]=>([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,3,2,6,7,1]=>[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]
[4,5,3,2,7,1,6]=>[7,3,5,4,2,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,2,7,6,1]=>[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]
[4,5,3,6,1,2,7]=>[6,1,5,4,3,2,7]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,3,6,1,7,2]=>[7,6,5,4,3,1,2]=>([(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]
[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]=>([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,3,6,2,7,1]=>[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]
[4,5,3,6,7,1,2]=>[7,1,5,4,3,6,2]=>([(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]
[4,5,3,6,7,2,1]=>[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]
[4,5,3,7,1,2,6]=>[7,1,5,4,3,2,6]=>([(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]
[4,5,3,7,1,6,2]=>[6,7,5,4,3,1,2]=>([(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]
[4,5,3,7,2,1,6]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,7,2,6,1]=>[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]
[4,5,3,7,6,1,2]=>[6,1,5,4,3,7,2]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,3,7,6,2,1]=>[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]
[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,6,1,2,7,3]=>[7,1,6,4,5,2,3]=>([(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]
[4,5,6,1,3,2,7]=>[3,6,1,4,5,2,7]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,6,1,3,7,2]=>[7,6,1,4,5,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(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]=>[7,6,1,4,5,2,3]=>([(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]
[4,5,6,1,7,3,2]=>[3,7,6,4,5,1,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,5,6,2,1,3,7]=>[2,6,1,4,5,3,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[4,5,6,2,1,7,3]=>[2,7,6,4,5,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[3,6,2,4,5,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,6,2,3,7,1]=>[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]
[4,5,6,2,7,1,3]=>[7,6,2,4,5,1,3]=>([(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]
[4,5,6,2,7,3,1]=>[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]
[4,5,6,3,1,2,7]=>[3,1,6,4,5,2,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[4,5,6,3,1,7,2]=>[7,3,6,4,5,1,2]=>([(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]
[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,5,6,3,2,7,1]=>[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]
[4,5,6,3,7,1,2]=>[7,1,6,4,5,3,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,3,7,2,1]=>[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]
[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,7,1,3,2]=>[3,7,1,4,5,6,2]=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,6,7,2,1,3]=>[2,7,1,4,5,6,3]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,6,7,2,3,1]=>[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]
[4,5,6,7,3,1,2]=>[3,1,7,4,5,6,2]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,6,7,3,2,1]=>[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]
[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,1,2,6,3]=>[6,1,7,4,5,2,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[3,7,1,4,5,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,1,3,6,2]=>[6,7,1,4,5,3,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,5,7,1,6,2,3]=>[6,7,1,4,5,2,3]=>([(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)],7)=>[7]
[4,5,7,1,6,3,2]=>[3,6,7,4,5,1,2]=>([(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)],7)=>[7]
[4,5,7,2,1,3,6]=>[2,7,1,4,5,3,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,2,1,6,3]=>[2,6,7,4,5,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[3,7,2,4,5,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,2,3,6,1]=>[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]
[4,5,7,2,6,1,3]=>[6,7,2,4,5,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,2,6,3,1]=>[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]
[4,5,7,3,1,2,6]=>[3,1,7,4,5,2,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,5,7,3,1,6,2]=>[6,3,7,4,5,1,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,3,2,1,6]=>[2,3,7,4,5,1,6]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,3,2,6,1]=>[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]
[4,5,7,3,6,1,2]=>[6,1,7,4,5,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[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]
[4,5,7,6,1,2,3]=>[6,1,2,4,5,7,3]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,6,1,3,2]=>[3,6,1,4,5,7,2]=>([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,5,7,6,2,1,3]=>[2,6,1,4,5,7,3]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,5,7,6,2,3,1]=>[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]
[4,5,7,6,3,1,2]=>[3,1,6,4,5,7,2]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,5,7,6,3,2,1]=>[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]
[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,1,2,3,7,5]=>[7,1,2,4,6,3,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,2,5,3,7]=>[5,1,6,4,2,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,1,2,5,7,3]=>[7,1,6,4,2,5,3]=>([(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]
[4,6,1,2,7,3,5]=>[7,1,6,4,2,3,5]=>([(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]
[4,6,1,2,7,5,3]=>[5,1,7,4,6,2,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[4,6,1,3,2,5,7]=>[3,6,1,4,2,5,7]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,1,3,2,7,5]=>[3,7,1,4,6,2,5]=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,3,5,2,7]=>[5,6,1,4,3,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[4,6,1,3,5,7,2]=>[7,6,1,4,3,5,2]=>([(0,5),(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]
[4,6,1,3,7,2,5]=>[7,6,1,4,3,2,5]=>([(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]
[4,6,1,3,7,5,2]=>[5,7,1,4,6,3,2]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,5,2,3,7]=>[5,6,1,4,2,3,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[4,6,1,5,2,7,3]=>[7,5,6,4,1,2,3]=>([(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]
[4,6,1,5,3,2,7]=>[3,5,6,4,1,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[4,6,1,5,3,7,2]=>[7,5,6,4,1,3,2]=>([(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),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,5,7,2,3]=>[7,6,1,4,2,5,3]=>([(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]
[4,6,1,5,7,3,2]=>[3,7,6,4,1,5,2]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,7,2,3,5]=>[7,6,1,4,2,3,5]=>([(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]
[4,6,1,7,2,5,3]=>[5,7,6,4,1,2,3]=>([(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]
[4,6,1,7,3,2,5]=>[3,7,6,4,1,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,1,7,3,5,2]=>[5,7,6,4,1,3,2]=>([(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]
[4,6,1,7,5,2,3]=>[5,7,1,4,6,2,3]=>([(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)],7)=>[7]
[4,6,1,7,5,3,2]=>[3,5,7,4,6,1,2]=>([(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)],7)=>[7]
[4,6,2,1,3,5,7]=>[2,6,1,4,3,5,7]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[4,6,2,1,3,7,5]=>[2,7,1,4,6,3,5]=>([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,1,5,3,7]=>[2,5,6,4,1,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,2,1,5,7,3]=>[2,7,6,4,1,5,3]=>([(0,4),(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]
[4,6,2,1,7,3,5]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,1,7,5,3]=>[2,5,7,4,6,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,6,2,3,1,5,7]=>[3,6,2,4,1,5,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,2,3,1,7,5]=>[3,7,2,4,6,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,3,5,1,7]=>[5,6,2,4,3,1,7]=>([(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)=>[6,1]
[4,6,2,3,5,7,1]=>[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]
[4,6,2,3,7,1,5]=>[7,6,2,4,3,1,5]=>([(0,5),(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]
[4,6,2,3,7,5,1]=>[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]
[4,6,2,5,1,3,7]=>[5,6,2,4,1,3,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[4,6,2,5,1,7,3]=>[7,5,6,4,2,1,3]=>([(0,3),(0,4),(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]
[4,6,2,5,3,1,7]=>[3,5,6,4,2,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,2,5,3,7,1]=>[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]
[4,6,2,5,7,1,3]=>[7,6,2,4,1,5,3]=>([(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]
[4,6,2,5,7,3,1]=>[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]
[4,6,2,7,1,3,5]=>[7,6,2,4,1,3,5]=>([(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]
[4,6,2,7,1,5,3]=>[5,7,6,4,2,1,3]=>([(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]
[4,6,2,7,3,1,5]=>[3,7,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,2,7,3,5,1]=>[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]
[4,6,2,7,5,1,3]=>[5,7,2,4,6,1,3]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[4,6,2,7,5,3,1]=>[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]
[4,6,3,1,2,5,7]=>[3,1,6,4,2,5,7]=>([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,3,1,2,7,5]=>[3,1,7,4,6,2,5]=>([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,1,5,2,7]=>[5,3,6,4,1,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[4,6,3,1,5,7,2]=>[7,3,6,4,1,5,2]=>([(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]
[4,6,3,1,7,2,5]=>[7,3,6,4,1,2,5]=>([(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]
[4,6,3,1,7,5,2]=>[5,3,7,4,6,1,2]=>([(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)],7)=>[7]
[4,6,3,2,1,5,7]=>[2,3,6,4,1,5,7]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,3,2,1,7,5]=>[2,3,7,4,6,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,2,5,1,7]=>[5,3,6,4,2,1,7]=>([(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)=>[6,1]
[4,6,3,2,5,7,1]=>[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]
[4,6,3,2,7,1,5]=>[7,3,6,4,2,1,5]=>([(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]
[4,6,3,2,7,5,1]=>[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]
[4,6,3,5,1,2,7]=>[5,1,6,4,3,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,3,5,1,7,2]=>[7,5,6,4,3,1,2]=>([(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]
[4,6,3,5,2,1,7]=>[2,5,6,4,3,1,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,3,5,2,7,1]=>[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]
[4,6,3,5,7,1,2]=>[7,1,6,4,3,5,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,5,7,2,1]=>[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]
[4,6,3,7,1,2,5]=>[7,1,6,4,3,2,5]=>([(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]
[4,6,3,7,1,5,2]=>[5,7,6,4,3,1,2]=>([(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),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,7,2,1,5]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,3,7,2,5,1]=>[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]
[4,6,3,7,5,1,2]=>[5,1,7,4,6,3,2]=>([(0,4),(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]
[4,6,3,7,5,2,1]=>[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]
[4,6,5,1,2,3,7]=>[5,1,2,4,6,3,7]=>([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,5,1,2,7,3]=>[7,1,5,4,6,2,3]=>([(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]
[4,6,5,1,3,2,7]=>[3,5,1,4,6,2,7]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,5,1,3,7,2]=>[7,5,1,4,6,3,2]=>([(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]
[4,6,5,1,7,2,3]=>[7,5,1,4,6,2,3]=>([(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]
[4,6,5,1,7,3,2]=>[3,7,5,4,6,1,2]=>([(0,5),(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)],7)=>[7]
[4,6,5,2,1,3,7]=>[2,5,1,4,6,3,7]=>([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,5,2,1,7,3]=>[2,7,5,4,6,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,6,5,2,3,1,7]=>[3,5,2,4,6,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,5,2,3,7,1]=>[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]
[4,6,5,2,7,1,3]=>[7,5,2,4,6,1,3]=>([(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]
[4,6,5,2,7,3,1]=>[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]
[4,6,5,3,1,2,7]=>[3,1,5,4,6,2,7]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[4,6,5,3,1,7,2]=>[7,3,5,4,6,1,2]=>([(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]
[4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[4,6,5,3,2,7,1]=>[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]
[4,6,5,3,7,1,2]=>[7,1,5,4,6,3,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,3,7,2,1]=>[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]
[4,6,5,7,1,2,3]=>[7,1,2,4,6,5,3]=>([(0,6),(1,6),(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]=>[3,7,1,4,6,5,2]=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,7,2,1,3]=>[2,7,1,4,6,5,3]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,7,2,3,1]=>[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]
[4,6,5,7,3,1,2]=>[3,1,7,4,6,5,2]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,5,7,3,2,1]=>[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]
[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,7,1,2,5,3]=>[5,1,7,4,2,6,3]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,6,7,1,3,2,5]=>[3,7,1,4,2,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,1,3,5,2]=>[5,7,1,4,3,6,2]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,6,7,1,5,2,3]=>[5,7,1,4,2,6,3]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,6,7,1,5,3,2]=>[3,5,7,4,1,6,2]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,6,7,2,1,3,5]=>[2,7,1,4,3,6,5]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,7,2,1,5,3]=>[2,5,7,4,1,6,3]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,6,7,2,3,1,5]=>[3,7,2,4,1,6,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,2,3,5,1]=>[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]
[4,6,7,2,5,1,3]=>[5,7,2,4,1,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[4,6,7,2,5,3,1]=>[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]
[4,6,7,3,1,2,5]=>[3,1,7,4,2,6,5]=>([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,6,7,3,1,5,2]=>[5,3,7,4,1,6,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[4,6,7,3,2,1,5]=>[2,3,7,4,1,6,5]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,3,2,5,1]=>[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]
[4,6,7,3,5,1,2]=>[5,1,7,4,3,6,2]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,7,3,5,2,1]=>[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]
[4,6,7,5,1,2,3]=>[5,1,2,4,7,6,3]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,5,1,3,2]=>[3,5,1,4,7,6,2]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,6,7,5,2,1,3]=>[2,5,1,4,7,6,3]=>([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,6,7,5,2,3,1]=>[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]
[4,6,7,5,3,1,2]=>[3,1,5,4,7,6,2]=>([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[4,6,7,5,3,2,1]=>[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]
[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,2,3,6,5]=>[6,1,2,4,7,3,5]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,2,5,3,6]=>[5,1,7,4,2,3,6]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,1,2,5,6,3]=>[6,1,7,4,2,5,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,1,2,6,3,5]=>[6,1,7,4,2,3,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,1,2,6,5,3]=>[5,1,6,4,7,2,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,1,3,2,5,6]=>[3,7,1,4,2,5,6]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,3,2,6,5]=>[3,6,1,4,7,2,5]=>([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,3,5,2,6]=>[5,7,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,1,3,5,6,2]=>[6,7,1,4,3,5,2]=>([(0,5),(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)],7)=>[7]
[4,7,1,3,6,2,5]=>[6,7,1,4,3,2,5]=>([(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)],7)=>[7]
[4,7,1,3,6,5,2]=>[5,6,1,4,7,3,2]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,1,5,2,3,6]=>[5,7,1,4,2,3,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,1,5,2,6,3]=>[6,5,7,4,1,2,3]=>([(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]
[4,7,1,5,3,2,6]=>[3,5,7,4,1,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,1,5,3,6,2]=>[6,5,7,4,1,3,2]=>([(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]
[4,7,1,5,6,2,3]=>[6,7,1,4,2,5,3]=>([(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)],7)=>[7]
[4,7,1,5,6,3,2]=>[3,6,7,4,1,5,2]=>([(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)],7)=>[7]
[4,7,1,6,2,3,5]=>[6,7,1,4,2,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,1,6,2,5,3]=>[5,6,7,4,1,2,3]=>([(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]
[4,7,1,6,3,2,5]=>[3,6,7,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,1,6,3,5,2]=>[5,6,7,4,1,3,2]=>([(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]
[4,7,1,6,5,2,3]=>[5,6,1,4,7,2,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,1,6,5,3,2]=>[3,5,6,4,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,2,1,3,5,6]=>[2,7,1,4,3,5,6]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,1,3,6,5]=>[2,6,1,4,7,3,5]=>([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,2,1,5,3,6]=>[2,5,7,4,1,3,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,1,5,6,3]=>[2,6,7,4,1,5,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[4,7,2,1,6,3,5]=>[2,6,7,4,1,3,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,2,1,6,5,3]=>[2,5,6,4,7,1,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,2,3,1,5,6]=>[3,7,2,4,1,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,3,1,6,5]=>[3,6,2,4,7,1,5]=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,3,5,1,6]=>[5,7,2,4,3,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,7,2,3,5,6,1]=>[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]
[4,7,2,3,6,1,5]=>[6,7,2,4,3,1,5]=>([(0,5),(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)],7)=>[7]
[4,7,2,3,6,5,1]=>[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]
[4,7,2,5,1,3,6]=>[5,7,2,4,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,2,5,1,6,3]=>[6,5,7,4,2,1,3]=>([(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]
[4,7,2,5,3,1,6]=>[3,5,7,4,2,1,6]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,5,3,6,1]=>[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]
[4,7,2,5,6,1,3]=>[6,7,2,4,1,5,3]=>([(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)],7)=>[7]
[4,7,2,5,6,3,1]=>[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]
[4,7,2,6,1,3,5]=>[6,7,2,4,1,3,5]=>([(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)],7)=>[7]
[4,7,2,6,1,5,3]=>[5,6,7,4,2,1,3]=>([(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]
[4,7,2,6,3,1,5]=>[3,6,7,4,2,1,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,2,6,3,5,1]=>[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]
[4,7,2,6,5,1,3]=>[5,6,2,4,7,1,3]=>([(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)],7)=>[7]
[4,7,2,6,5,3,1]=>[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]
[4,7,3,1,2,5,6]=>[3,1,7,4,2,5,6]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,1,2,6,5]=>[3,1,6,4,7,2,5]=>([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,3,1,5,2,6]=>[5,3,7,4,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[4,7,3,1,5,6,2]=>[6,3,7,4,1,5,2]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[4,7,3,1,6,2,5]=>[6,3,7,4,1,2,5]=>([(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)],7)=>[7]
[4,7,3,1,6,5,2]=>[5,3,6,4,7,1,2]=>([(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)],7)=>[7]
[4,7,3,2,1,5,6]=>[2,3,7,4,1,5,6]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,2,1,6,5]=>[2,3,6,4,7,1,5]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,2,5,1,6]=>[5,3,7,4,2,1,6]=>([(0,4),(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]
[4,7,3,2,5,6,1]=>[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]
[4,7,3,2,6,1,5]=>[6,3,7,4,2,1,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,2,6,5,1]=>[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]
[4,7,3,5,1,2,6]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,3,5,1,6,2]=>[6,5,7,4,3,1,2]=>([(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),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,5,2,1,6]=>[2,5,7,4,3,1,6]=>([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,5,2,6,1]=>[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]
[4,7,3,5,6,1,2]=>[6,1,7,4,3,5,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[4,7,3,5,6,2,1]=>[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]
[4,7,3,6,1,2,5]=>[6,1,7,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,3,6,1,5,2]=>[5,6,7,4,3,1,2]=>([(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]
[4,7,3,6,2,1,5]=>[2,6,7,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(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]=>[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]
[4,7,3,6,5,1,2]=>[5,1,6,4,7,3,2]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,3,6,5,2,1]=>[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]
[4,7,5,1,2,3,6]=>[5,1,2,4,7,3,6]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,1,2,6,3]=>[6,1,5,4,7,2,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,5,1,3,2,6]=>[3,5,1,4,7,2,6]=>([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,5,1,3,6,2]=>[6,5,1,4,7,3,2]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,1,6,2,3]=>[6,5,1,4,7,2,3]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,1,6,3,2]=>[3,6,5,4,7,1,2]=>([(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)],7)=>[7]
[4,7,5,2,1,3,6]=>[2,5,1,4,7,3,6]=>([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)=>[7]
[4,7,5,2,1,6,3]=>[2,6,5,4,7,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,5,2,3,1,6]=>[3,5,2,4,7,1,6]=>([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,2,3,6,1]=>[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]
[4,7,5,2,6,1,3]=>[6,5,2,4,7,1,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,2,6,3,1]=>[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]
[4,7,5,3,1,2,6]=>[3,1,5,4,7,2,6]=>([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,5,3,1,6,2]=>[6,3,5,4,7,1,2]=>([(0,5),(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)],7)=>[7]
[4,7,5,3,2,1,6]=>[2,3,5,4,7,1,6]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,3,2,6,1]=>[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]
[4,7,5,3,6,1,2]=>[6,1,5,4,7,3,2]=>([(0,6),(1,4),(1,5),(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]=>[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]
[4,7,5,6,1,2,3]=>[6,1,2,4,7,5,3]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,6,1,3,2]=>[3,6,1,4,7,5,2]=>([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,6,2,1,3]=>[2,6,1,4,7,5,3]=>([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,6,2,3,1]=>[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]
[4,7,5,6,3,1,2]=>[3,1,6,4,7,5,2]=>([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,5,6,3,2,1]=>[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]
[4,7,6,1,2,3,5]=>[6,1,2,4,3,7,5]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,1,2,5,3]=>[5,1,6,4,2,7,3]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,1,3,2,5]=>[3,6,1,4,2,7,5]=>([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,1,3,5,2]=>[5,6,1,4,3,7,2]=>([(0,6),(1,4),(1,5),(2,3),(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]=>[5,6,1,4,2,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,1,5,3,2]=>[3,5,6,4,1,7,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,6,2,1,3,5]=>[2,6,1,4,3,7,5]=>([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[4,7,6,2,1,5,3]=>[2,5,6,4,1,7,3]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,6,2,3,1,5]=>[3,6,2,4,1,7,5]=>([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,2,3,5,1]=>[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]
[4,7,6,2,5,1,3]=>[5,6,2,4,1,7,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[4,7,6,2,5,3,1]=>[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]
[4,7,6,3,1,2,5]=>[3,1,6,4,2,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)=>[7]
[4,7,6,3,1,5,2]=>[5,3,6,4,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[4,7,6,3,2,1,5]=>[2,3,6,4,1,7,5]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,3,2,5,1]=>[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]
[4,7,6,3,5,1,2]=>[5,1,6,4,3,7,2]=>([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,3,5,2,1]=>[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]
[4,7,6,5,1,2,3]=>[5,1,2,4,6,7,3]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,5,1,3,2]=>[3,5,1,4,6,7,2]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,5,2,1,3]=>[2,5,1,4,6,7,3]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,5,2,3,1]=>[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]
[4,7,6,5,3,1,2]=>[3,1,5,4,6,7,2]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>[5,2]
[5,1,2,3,6,4,7]=>[6,1,2,5,3,4,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,2,3,6,7,4]=>[7,1,2,5,3,6,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,3,7,4,6]=>[7,1,2,5,3,4,6]=>([(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]=>[6,1,2,5,3,7,4]=>([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,4,3,6,7]=>[4,1,5,2,3,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[5,1,2,4,3,7,6]=>[4,1,5,2,3,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[5,1,2,4,6,3,7]=>[6,1,5,2,4,3,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,2,4,6,7,3]=>[7,1,5,2,4,6,3]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,4,7,3,6]=>[7,1,5,2,4,3,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,4,7,6,3]=>[6,1,5,2,4,7,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,6,3,4,7]=>[6,1,5,2,3,4,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,2,6,3,7,4]=>[7,1,6,5,2,3,4]=>([(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]
[5,1,2,6,4,3,7]=>[4,1,6,5,2,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[5,1,2,6,4,7,3]=>[7,1,6,5,2,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,6,7,3,4]=>[7,1,5,2,3,6,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,6,7,4,3]=>[4,1,7,5,2,6,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,2,7,3,4,6]=>[7,1,5,2,3,4,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,7,3,6,4]=>[6,1,7,5,2,3,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,1,2,7,4,3,6]=>[4,1,7,5,2,3,6]=>([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,1,2,7,4,6,3]=>[6,1,7,5,2,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,1,2,7,6,3,4]=>[6,1,5,2,3,7,4]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,2,7,6,4,3]=>[4,1,6,5,2,7,3]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,3,2,4,6,7]=>[3,5,1,2,4,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[5,1,3,2,4,7,6]=>[3,5,1,2,4,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[5,1,3,2,6,4,7]=>[3,6,1,5,2,4,7]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,3,2,6,7,4]=>[3,7,1,5,2,6,4]=>([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,2,7,4,6]=>[3,7,1,5,2,4,6]=>([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,2,7,6,4]=>[3,6,1,5,2,7,4]=>([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,3,4,2,6,7]=>[4,5,1,3,2,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[5,1,3,4,2,7,6]=>[4,5,1,3,2,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[5,1,3,4,6,2,7]=>[6,5,1,3,4,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,3,4,6,7,2]=>[7,5,1,3,4,6,2]=>([(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]
[5,1,3,4,7,2,6]=>[7,5,1,3,4,2,6]=>([(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]
[5,1,3,4,7,6,2]=>[6,5,1,3,4,7,2]=>([(0,6),(1,4),(1,5),(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]=>[6,5,1,3,2,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,3,6,2,7,4]=>[7,6,1,5,3,2,4]=>([(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]
[5,1,3,6,4,2,7]=>[4,6,1,5,3,2,7]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,3,6,4,7,2]=>[7,6,1,5,3,4,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,6,7,2,4]=>[7,5,1,3,2,6,4]=>([(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]
[5,1,3,6,7,4,2]=>[4,7,1,5,3,6,2]=>([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,7,2,4,6]=>[7,5,1,3,2,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,7,2,6,4]=>[6,7,1,5,3,2,4]=>([(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)],7)=>[7]
[5,1,3,7,4,2,6]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,7,4,6,2]=>[6,7,1,5,3,4,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,1,3,7,6,2,4]=>[6,5,1,3,2,7,4]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,3,7,6,4,2]=>[4,6,1,5,3,7,2]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,2,3,6,7]=>[4,5,1,2,3,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[5,1,4,2,3,7,6]=>[4,5,1,2,3,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[5,1,4,2,6,3,7]=>[6,4,5,1,2,3,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,1,4,2,6,7,3]=>[7,4,5,1,2,6,3]=>([(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]
[5,1,4,2,7,3,6]=>[7,4,5,1,2,3,6]=>([(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]
[5,1,4,2,7,6,3]=>[6,4,5,1,2,7,3]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,3,2,6,7]=>[3,4,5,1,2,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[5,1,4,3,2,7,6]=>[3,4,5,1,2,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[5,1,4,3,6,2,7]=>[6,4,5,1,3,2,7]=>([(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)=>[6,1]
[5,1,4,3,6,7,2]=>[7,4,5,1,3,6,2]=>([(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]
[5,1,4,3,7,2,6]=>[7,4,5,1,3,2,6]=>([(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]
[5,1,4,3,7,6,2]=>[6,4,5,1,3,7,2]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,6,2,3,7]=>[6,5,1,2,4,3,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,4,6,2,7,3]=>[7,6,5,1,4,2,3]=>([(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]
[5,1,4,6,3,2,7]=>[3,6,5,1,4,2,7]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,4,6,3,7,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[7,5,1,2,4,6,3]=>([(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]
[5,1,4,6,7,3,2]=>[3,7,5,1,4,6,2]=>([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,7,2,3,6]=>[7,5,1,2,4,3,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,7,2,6,3]=>[6,7,5,1,4,2,3]=>([(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),(4,6),(5,6)],7)=>[7]
[5,1,4,7,3,2,6]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,4,7,3,6,2]=>[6,7,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(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]
[5,1,4,7,6,2,3]=>[6,5,1,2,4,7,3]=>([(0,4),(1,5),(1,6),(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]=>[3,6,5,1,4,7,2]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,2,3,4,7]=>[6,5,1,2,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,6,2,3,7,4]=>[7,6,1,5,2,3,4]=>([(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]
[5,1,6,2,4,3,7]=>[4,6,5,1,2,3,7]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,6,2,4,7,3]=>[7,6,5,1,2,4,3]=>([(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]=>[7,6,5,1,2,3,4]=>([(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]
[5,1,6,2,7,4,3]=>[4,7,6,5,1,2,3]=>([(0,1),(0,2),(0,3),(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]
[5,1,6,3,2,4,7]=>[3,6,5,1,2,4,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,6,3,2,7,4]=>[3,7,6,5,1,2,4]=>([(0,2),(0,3),(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]
[5,1,6,3,4,2,7]=>[4,6,5,1,3,2,7]=>([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,1,6,3,4,7,2]=>[7,6,5,1,3,4,2]=>([(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]
[5,1,6,3,7,2,4]=>[7,6,5,1,3,2,4]=>([(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]
[5,1,6,3,7,4,2]=>[4,7,6,5,1,3,2]=>([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,4,2,3,7]=>[4,6,1,5,2,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[5,1,6,4,2,7,3]=>[7,4,6,5,1,2,3]=>([(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]
[5,1,6,4,3,2,7]=>[3,4,6,5,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[5,1,6,4,3,7,2]=>[7,4,6,5,1,3,2]=>([(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]
[5,1,6,4,7,2,3]=>[7,6,1,5,2,4,3]=>([(0,5),(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]
[5,1,6,4,7,3,2]=>[3,7,6,5,1,4,2]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,2,3,4]=>[7,5,1,2,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,2,4,3]=>[4,7,5,1,2,6,3]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,3,2,4]=>[3,7,5,1,2,6,4]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,3,4,2]=>[4,7,5,1,3,6,2]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,6,7,4,2,3]=>[4,7,1,5,2,6,3]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,1,6,7,4,3,2]=>[3,4,7,5,1,6,2]=>([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,1,7,2,3,4,6]=>[7,5,1,2,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,2,3,6,4]=>[6,7,1,5,2,3,4]=>([(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)],7)=>[7]
[5,1,7,2,4,3,6]=>[4,7,5,1,2,3,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,2,4,6,3]=>[6,7,5,1,2,4,3]=>([(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]=>[6,7,5,1,2,3,4]=>([(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]
[5,1,7,2,6,4,3]=>[4,6,7,5,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,7,3,2,4,6]=>[3,7,5,1,2,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,3,2,6,4]=>[3,6,7,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,7,3,4,2,6]=>[4,7,5,1,3,2,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,3,4,6,2]=>[6,7,5,1,3,4,2]=>([(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]
[5,1,7,3,6,2,4]=>[6,7,5,1,3,2,4]=>([(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]
[5,1,7,3,6,4,2]=>[4,6,7,5,1,3,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,4,2,3,6]=>[4,7,1,5,2,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,1,7,4,2,6,3]=>[6,4,7,5,1,2,3]=>([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,4,3,2,6]=>[3,4,7,5,1,2,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,7,4,3,6,2]=>[6,4,7,5,1,3,2]=>([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,4,6,2,3]=>[6,7,1,5,2,4,3]=>([(0,5),(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)],7)=>[7]
[5,1,7,4,6,3,2]=>[3,6,7,5,1,4,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,1,7,6,2,3,4]=>[6,5,1,2,3,7,4]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,6,2,4,3]=>[4,6,5,1,2,7,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,6,3,2,4]=>[3,6,5,1,2,7,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,1,7,6,3,4,2]=>[4,6,5,1,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(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]=>[4,6,1,5,2,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,1,7,6,4,3,2]=>[3,4,6,5,1,7,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[5,2,1,3,4,7,6]=>[2,5,1,3,4,7,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>[5,2]
[5,2,1,3,6,4,7]=>[2,6,1,5,3,4,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,2,1,3,6,7,4]=>[2,7,1,5,3,6,4]=>([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,3,7,4,6]=>[2,7,1,5,3,4,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,1,3,7,6,4]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,4,3,6,7]=>[2,4,5,1,3,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[5,2,1,4,3,7,6]=>[2,4,5,1,3,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[5,2,1,4,6,3,7]=>[2,6,5,1,4,3,7]=>([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,1,4,6,7,3]=>[2,7,5,1,4,6,3]=>([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,4,7,3,6]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,4,7,6,3]=>[2,6,5,1,4,7,3]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,6,3,4,7]=>[2,6,5,1,3,4,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,1,6,3,7,4]=>[2,7,6,5,1,3,4]=>([(0,3),(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]
[5,2,1,6,4,3,7]=>[2,4,6,5,1,3,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[5,2,1,6,4,7,3]=>[2,7,6,5,1,4,3]=>([(0,3),(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]
[5,2,1,6,7,3,4]=>[2,7,5,1,3,6,4]=>([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,6,7,4,3]=>[2,4,7,5,1,6,3]=>([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,2,1,7,3,4,6]=>[2,7,5,1,3,4,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,7,3,6,4]=>[2,6,7,5,1,3,4]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,7,4,3,6]=>[2,4,7,5,1,3,6]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,2,1,7,4,6,3]=>[2,6,7,5,1,4,3]=>([(0,5),(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]
[5,2,1,7,6,3,4]=>[2,6,5,1,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,1,7,6,4,3]=>[2,4,6,5,1,7,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,2,3,1,4,6,7]=>[3,5,2,1,4,6,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[5,2,3,1,4,7,6]=>[3,5,2,1,4,7,6]=>([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[5,2,3,1,6,4,7]=>[3,6,2,5,1,4,7]=>([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,3,1,6,7,4]=>[3,7,2,5,1,6,4]=>([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,1,7,4,6]=>[3,7,2,5,1,4,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,1,7,6,4]=>[3,6,2,5,1,7,4]=>([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,2,3,4,1,6,7]=>[4,5,2,3,1,6,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[5,2,3,4,1,7,6]=>[4,5,2,3,1,7,6]=>([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[5,2]
[5,2,3,4,6,1,7]=>[6,5,2,3,4,1,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,3,4,6,7,1]=>[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]
[5,2,3,4,7,1,6]=>[7,5,2,3,4,1,6]=>([(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]
[5,2,3,4,7,6,1]=>[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]
[5,2,3,6,1,4,7]=>[6,5,2,3,1,4,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,3,6,1,7,4]=>[7,6,2,5,3,1,4]=>([(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]
[5,2,3,6,4,1,7]=>[4,6,2,5,3,1,7]=>([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,3,6,4,7,1]=>[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]
[5,2,3,6,7,1,4]=>[7,5,2,3,1,6,4]=>([(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]
[5,2,3,6,7,4,1]=>[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]
[5,2,3,7,1,4,6]=>[7,5,2,3,1,4,6]=>([(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]
[5,2,3,7,1,6,4]=>[6,7,2,5,3,1,4]=>([(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)],7)=>[7]
[5,2,3,7,4,1,6]=>[4,7,2,5,3,1,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,7,4,6,1]=>[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]
[5,2,3,7,6,1,4]=>[6,5,2,3,1,7,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,3,7,6,4,1]=>[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]
[5,2,4,1,3,6,7]=>[4,5,2,1,3,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[5,2,4,1,3,7,6]=>[4,5,2,1,3,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[5,2,4,1,6,3,7]=>[6,4,5,2,1,3,7]=>([(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)=>[6,1]
[5,2,4,1,6,7,3]=>[7,4,5,2,1,6,3]=>([(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]
[5,2,4,1,7,3,6]=>[7,4,5,2,1,3,6]=>([(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]
[5,2,4,1,7,6,3]=>[6,4,5,2,1,7,3]=>([(0,5),(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]
[5,2,4,3,1,6,7]=>[3,4,5,2,1,6,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[5,2,4,3,1,7,6]=>[3,4,5,2,1,7,6]=>([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[5,2,4,3,6,1,7]=>[6,4,5,2,3,1,7]=>([(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)=>[6,1]
[5,2,4,3,6,7,1]=>[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]
[5,2,4,3,7,1,6]=>[7,4,5,2,3,1,6]=>([(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]
[5,2,4,3,7,6,1]=>[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]
[5,2,4,6,1,3,7]=>[6,5,2,1,4,3,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,4,6,1,7,3]=>[7,6,5,2,4,1,3]=>([(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]
[5,2,4,6,3,1,7]=>[3,6,5,2,4,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,4,6,3,7,1]=>[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]
[5,2,4,6,7,1,3]=>[7,5,2,1,4,6,3]=>([(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]
[5,2,4,6,7,3,1]=>[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]
[5,2,4,7,1,3,6]=>[7,5,2,1,4,3,6]=>([(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]
[5,2,4,7,1,6,3]=>[6,7,5,2,4,1,3]=>([(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]
[5,2,4,7,3,1,6]=>[3,7,5,2,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,7,3,6,1]=>[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]
[5,2,4,7,6,1,3]=>[6,5,2,1,4,7,3]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,4,7,6,3,1]=>[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]
[5,2,6,1,3,4,7]=>[6,5,2,1,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,6,1,3,7,4]=>[7,6,2,5,1,3,4]=>([(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]
[5,2,6,1,4,3,7]=>[4,6,5,2,1,3,7]=>([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,6,1,4,7,3]=>[7,6,5,2,1,4,3]=>([(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]
[5,2,6,1,7,3,4]=>[7,6,5,2,1,3,4]=>([(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]
[5,2,6,1,7,4,3]=>[4,7,6,5,2,1,3]=>([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,3,1,4,7]=>[3,6,5,2,1,4,7]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,6,3,1,7,4]=>[3,7,6,5,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[4,6,5,2,3,1,7]=>([(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)=>[6,1]
[5,2,6,3,4,7,1]=>[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]
[5,2,6,3,7,1,4]=>[7,6,5,2,3,1,4]=>([(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]
[5,2,6,3,7,4,1]=>[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]
[5,2,6,4,1,3,7]=>[4,6,2,5,1,3,7]=>([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,6,4,1,7,3]=>[7,4,6,5,2,1,3]=>([(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]
[5,2,6,4,3,1,7]=>[3,4,6,5,2,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,2,6,4,3,7,1]=>[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]
[5,2,6,4,7,1,3]=>[7,6,2,5,1,4,3]=>([(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]
[5,2,6,4,7,3,1]=>[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]
[5,2,6,7,1,3,4]=>[7,5,2,1,3,6,4]=>([(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]
[5,2,6,7,1,4,3]=>[4,7,5,2,1,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,6,7,3,1,4]=>[3,7,5,2,1,6,4]=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,6,7,3,4,1]=>[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]
[5,2,6,7,4,1,3]=>[4,7,2,5,1,6,3]=>([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,6,7,4,3,1]=>[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]
[5,2,7,1,3,4,6]=>[7,5,2,1,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,1,3,6,4]=>[6,7,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,2,7,1,4,3,6]=>[4,7,5,2,1,3,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,1,4,6,3]=>[6,7,5,2,1,4,3]=>([(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]
[5,2,7,1,6,3,4]=>[6,7,5,2,1,3,4]=>([(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]
[5,2,7,1,6,4,3]=>[4,6,7,5,2,1,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,3,1,4,6]=>[3,7,5,2,1,4,6]=>([(0,6),(1,3),(1,4),(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]=>[3,6,7,5,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,3,4,1,6]=>[4,7,5,2,3,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,3,4,6,1]=>[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]
[5,2,7,3,6,1,4]=>[6,7,5,2,3,1,4]=>([(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]
[5,2,7,3,6,4,1]=>[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]
[5,2,7,4,1,3,6]=>[4,7,2,5,1,3,6]=>([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,4,1,6,3]=>[6,4,7,5,2,1,3]=>([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,4,3,1,6]=>[3,4,7,5,2,1,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,4,3,6,1]=>[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]
[5,2,7,4,6,1,3]=>[6,7,2,5,1,4,3]=>([(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)],7)=>[7]
[5,2,7,4,6,3,1]=>[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]
[5,2,7,6,1,3,4]=>[6,5,2,1,3,7,4]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,6,1,4,3]=>[4,6,5,2,1,7,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[5,2,7,6,3,1,4]=>[3,6,5,2,1,7,4]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,2,7,6,3,4,1]=>[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]
[5,2,7,6,4,1,3]=>[4,6,2,5,1,7,3]=>([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,2,7,6,4,3,1]=>[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]
[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]=>([(2,6),(3,5),(4,5),(4,6)],7)=>[5,1,1]
[5,3,1,2,4,7,6]=>[3,1,5,2,4,7,6]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>[5,2]
[5,3,1,2,6,4,7]=>[3,1,6,5,2,4,7]=>([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,1,2,6,7,4]=>[3,1,7,5,2,6,4]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,1,2,7,4,6]=>[3,1,7,5,2,4,6]=>([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,2,7,6,4]=>[3,1,6,5,2,7,4]=>([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,3,1,4,2,6,7]=>[4,3,5,1,2,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,1,1]
[5,3,1,4,2,7,6]=>[4,3,5,1,2,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[5,3,1,4,6,2,7]=>[6,3,5,1,4,2,7]=>([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,1,4,6,7,2]=>[7,3,5,1,4,6,2]=>([(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]
[5,3,1,4,7,2,6]=>[7,3,5,1,4,2,6]=>([(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]
[5,3,1,4,7,6,2]=>[6,3,5,1,4,7,2]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,6,2,4,7]=>[6,3,5,1,2,4,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,1,6,2,7,4]=>[7,3,6,5,1,2,4]=>([(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]
[5,3,1,6,4,2,7]=>[4,3,6,5,1,2,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[5,3,1,6,4,7,2]=>[7,3,6,5,1,4,2]=>([(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]
[5,3,1,6,7,2,4]=>[7,3,5,1,2,6,4]=>([(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]
[5,3,1,6,7,4,2]=>[4,3,7,5,1,6,2]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,3,1,7,2,4,6]=>[7,3,5,1,2,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,7,2,6,4]=>[6,3,7,5,1,2,4]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,7,4,2,6]=>[4,3,7,5,1,2,6]=>([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,1,7,4,6,2]=>[6,3,7,5,1,4,2]=>([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,7,6,2,4]=>[6,3,5,1,2,7,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,1,7,6,4,2]=>[4,3,6,5,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[5,3,2,1,4,7,6]=>[2,3,5,1,4,7,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>[5,2]
[5,3,2,1,6,4,7]=>[2,3,6,5,1,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,2,1,6,7,4]=>[2,3,7,5,1,6,4]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,3,2,1,7,4,6]=>[2,3,7,5,1,4,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,1,7,6,4]=>[2,3,6,5,1,7,4]=>([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[5,3,2,4,1,7,6]=>[4,3,5,2,1,7,6]=>([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[5,3,2,4,6,1,7]=>[6,3,5,2,4,1,7]=>([(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)=>[6,1]
[5,3,2,4,6,7,1]=>[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]
[5,3,2,4,7,1,6]=>[7,3,5,2,4,1,6]=>([(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]
[5,3,2,4,7,6,1]=>[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]
[5,3,2,6,1,4,7]=>[6,3,5,2,1,4,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,2,6,1,7,4]=>[7,3,6,5,2,1,4]=>([(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]
[5,3,2,6,4,1,7]=>[4,3,6,5,2,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,2,6,4,7,1]=>[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]
[5,3,2,6,7,1,4]=>[7,3,5,2,1,6,4]=>([(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]
[5,3,2,6,7,4,1]=>[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]
[5,3,2,7,1,4,6]=>[7,3,5,2,1,4,6]=>([(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]
[5,3,2,7,1,6,4]=>[6,3,7,5,2,1,4]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,7,4,1,6]=>[4,3,7,5,2,1,6]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,7,4,6,1]=>[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]
[5,3,2,7,6,1,4]=>[6,3,5,2,1,7,4]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,2,7,6,4,1]=>[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]
[5,3,4,1,2,6,7]=>[4,1,5,3,2,6,7]=>([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[5,3,4,1,2,7,6]=>[4,1,5,3,2,7,6]=>([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[5,3,4,1,6,2,7]=>[6,4,5,3,1,2,7]=>([(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)=>[6,1]
[5,3,4,1,6,7,2]=>[7,4,5,3,1,6,2]=>([(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]
[5,3,4,1,7,2,6]=>[7,4,5,3,1,2,6]=>([(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]
[5,3,4,1,7,6,2]=>[6,4,5,3,1,7,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[2,4,5,3,1,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[5,3,4,2,1,7,6]=>[2,4,5,3,1,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[5,3,4,2,6,1,7]=>[6,4,5,3,2,1,7]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,4,2,6,7,1]=>[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]
[5,3,4,2,7,1,6]=>[7,4,5,3,2,1,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,2,7,6,1]=>[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]
[5,3,4,6,1,2,7]=>[6,1,5,3,4,2,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,4,6,1,7,2]=>[7,6,5,3,4,1,2]=>([(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]
[5,3,4,6,2,1,7]=>[2,6,5,3,4,1,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,4,6,2,7,1]=>[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]
[5,3,4,6,7,1,2]=>[7,1,5,3,4,6,2]=>([(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]
[5,3,4,6,7,2,1]=>[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]
[5,3,4,7,1,2,6]=>[7,1,5,3,4,2,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,7,1,6,2]=>[6,7,5,3,4,1,2]=>([(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]
[5,3,4,7,2,1,6]=>[2,7,5,3,4,1,6]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,4,7,2,6,1]=>[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]
[5,3,4,7,6,1,2]=>[6,1,5,3,4,7,2]=>([(0,6),(1,5),(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]=>[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]
[5,3,6,1,2,4,7]=>[6,1,5,3,2,4,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,6,1,2,7,4]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(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]=>[4,6,5,3,1,2,7]=>([(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)=>[6,1]
[5,3,6,1,4,7,2]=>[7,6,5,3,1,4,2]=>([(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]
[5,3,6,1,7,2,4]=>[7,6,5,3,1,2,4]=>([(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]
[5,3,6,1,7,4,2]=>[4,7,6,5,3,1,2]=>([(0,4),(0,5),(0,6),(1,2),(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]
[5,3,6,2,1,4,7]=>[2,6,5,3,1,4,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,6,2,1,7,4]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(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]=>[4,6,5,3,2,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,6,2,4,7,1]=>[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]
[5,3,6,2,7,1,4]=>[7,6,5,3,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,2,7,4,1]=>[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]
[5,3,6,4,1,2,7]=>[4,1,6,5,3,2,7]=>([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,6,4,1,7,2]=>[7,4,6,5,3,1,2]=>([(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),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,4,2,1,7]=>[2,4,6,5,3,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,3,6,4,2,7,1]=>[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]
[5,3,6,4,7,1,2]=>[7,1,6,5,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,4,7,2,1]=>[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]
[5,3,6,7,1,2,4]=>[7,1,5,3,2,6,4]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,7,1,4,2]=>[4,7,5,3,1,6,2]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,7,2,1,4]=>[2,7,5,3,1,6,4]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,7,2,4,1]=>[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]
[5,3,6,7,4,1,2]=>[4,1,7,5,3,6,2]=>([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,6,7,4,2,1]=>[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]
[5,3,7,1,2,4,6]=>[7,1,5,3,2,4,6]=>([(0,6),(1,6),(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]=>[6,1,7,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,3,7,1,4,2,6]=>[4,7,5,3,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,1,4,6,2]=>[6,7,5,3,1,4,2]=>([(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]
[5,3,7,1,6,2,4]=>[6,7,5,3,1,2,4]=>([(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]
[5,3,7,1,6,4,2]=>[4,6,7,5,3,1,2]=>([(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]
[5,3,7,2,1,4,6]=>[2,7,5,3,1,4,6]=>([(0,6),(1,4),(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]=>[2,6,7,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,2,4,1,6]=>[4,7,5,3,2,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,2,4,6,1]=>[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]
[5,3,7,2,6,1,4]=>[6,7,5,3,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(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]
[5,3,7,2,6,4,1]=>[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]
[5,3,7,4,1,2,6]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,4,1,6,2]=>[6,4,7,5,3,1,2]=>([(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]
[5,3,7,4,2,1,6]=>[2,4,7,5,3,1,6]=>([(0,6),(1,4),(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]=>[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]
[5,3,7,4,6,1,2]=>[6,1,7,5,3,4,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,4,6,2,1]=>[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]
[5,3,7,6,1,2,4]=>[6,1,5,3,2,7,4]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,6,1,4,2]=>[4,6,5,3,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,3,7,6,2,1,4]=>[2,6,5,3,1,7,4]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,6,2,4,1]=>[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]
[5,3,7,6,4,1,2]=>[4,1,6,5,3,7,2]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,3,7,6,4,2,1]=>[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]
[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[5,4,1,2,3,7,6]=>[4,1,2,5,3,7,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>[5,2]
[5,4,1,2,6,3,7]=>[6,1,4,5,2,3,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,4,1,2,6,7,3]=>[7,1,4,5,2,6,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,2,7,3,6]=>[7,1,4,5,2,3,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,1,2,7,6,3]=>[6,1,4,5,2,7,3]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,3,2,6,7]=>[3,4,1,5,2,6,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[5,1,1]
[5,4,1,3,2,7,6]=>[3,4,1,5,2,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[5,2]
[5,4,1,3,6,2,7]=>[6,4,1,5,3,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,1,3,6,7,2]=>[7,4,1,5,3,6,2]=>([(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]
[5,4,1,3,7,2,6]=>[7,4,1,5,3,2,6]=>([(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]
[5,4,1,3,7,6,2]=>[6,4,1,5,3,7,2]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,6,2,3,7]=>[6,4,1,5,2,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,1,6,2,7,3]=>[7,6,4,5,1,2,3]=>([(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]
[5,4,1,6,3,2,7]=>[3,6,4,5,1,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[5,4,1,6,3,7,2]=>[7,6,4,5,1,3,2]=>([(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),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,6,7,2,3]=>[7,4,1,5,2,6,3]=>([(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]
[5,4,1,6,7,3,2]=>[3,7,4,5,1,6,2]=>([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,1,7,2,3,6]=>[7,4,1,5,2,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,7,2,6,3]=>[6,7,4,5,1,2,3]=>([(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)],7)=>[7]
[5,4,1,7,3,2,6]=>[3,7,4,5,1,2,6]=>([(0,6),(1,4),(1,5),(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]=>[6,7,4,5,1,3,2]=>([(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),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,4,1,7,6,2,3]=>[6,4,1,5,2,7,3]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,1,7,6,3,2]=>[3,6,4,5,1,7,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7]=>([(2,6),(3,5),(4,5),(4,6)],7)=>[5,1,1]
[5,4,2,1,3,7,6]=>[2,4,1,5,3,7,6]=>([(0,1),(2,5),(3,4),(4,6),(5,6)],7)=>[5,2]
[5,4,2,1,6,3,7]=>[2,6,4,5,1,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,2,1,6,7,3]=>[2,7,4,5,1,6,3]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,2,1,7,3,6]=>[2,7,4,5,1,3,6]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,1,7,6,3]=>[2,6,4,5,1,7,3]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,4,2,3,1,6,7]=>[3,4,2,5,1,6,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,1,1]
[5,4,2,3,1,7,6]=>[3,4,2,5,1,7,6]=>([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[5,2]
[5,4,2,3,6,1,7]=>[6,4,2,5,3,1,7]=>([(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)=>[6,1]
[5,4,2,3,6,7,1]=>[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]
[5,4,2,3,7,1,6]=>[7,4,2,5,3,1,6]=>([(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]
[5,4,2,3,7,6,1]=>[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]
[5,4,2,6,1,3,7]=>[6,4,2,5,1,3,7]=>([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,2,6,1,7,3]=>[7,6,4,5,2,1,3]=>([(0,3),(0,4),(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]
[5,4,2,6,3,1,7]=>[3,6,4,5,2,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,2,6,3,7,1]=>[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]
[5,4,2,6,7,1,3]=>[7,4,2,5,1,6,3]=>([(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]
[5,4,2,6,7,3,1]=>[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]
[5,4,2,7,1,3,6]=>[7,4,2,5,1,3,6]=>([(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]
[5,4,2,7,1,6,3]=>[6,7,4,5,2,1,3]=>([(0,3),(0,4),(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)],7)=>[7]
[5,4,2,7,3,1,6]=>[3,7,4,5,2,1,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,2,7,3,6,1]=>[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]
[5,4,2,7,6,1,3]=>[6,4,2,5,1,7,3]=>([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,4,2,7,6,3,1]=>[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]
[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7]=>([(2,6),(3,6),(4,5),(5,6)],7)=>[5,1,1]
[5,4,3,1,2,7,6]=>[3,1,4,5,2,7,6]=>([(0,1),(2,6),(3,6),(4,5),(5,6)],7)=>[5,2]
[5,4,3,1,6,2,7]=>[6,3,4,5,1,2,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,4,3,1,6,7,2]=>[7,3,4,5,1,6,2]=>([(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]
[5,4,3,1,7,2,6]=>[7,3,4,5,1,2,6]=>([(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]
[5,4,3,1,7,6,2]=>[6,3,4,5,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>[5,1,1]
[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6]=>([(0,1),(2,6),(3,6),(4,6),(5,6)],7)=>[5,2]
[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,3,2,6,7,1]=>[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]
[5,4,3,2,7,1,6]=>[7,3,4,5,2,1,6]=>([(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]
[5,4,3,2,7,6,1]=>[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]
[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,3,6,1,7,2]=>[7,6,4,5,3,1,2]=>([(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]
[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,3,6,2,7,1]=>[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]
[5,4,3,6,7,1,2]=>[7,1,4,5,3,6,2]=>([(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]
[5,4,3,6,7,2,1]=>[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]
[5,4,3,7,1,2,6]=>[7,1,4,5,3,2,6]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,7,1,6,2]=>[6,7,4,5,3,1,2]=>([(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]
[5,4,3,7,2,1,6]=>[2,7,4,5,3,1,6]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,3,7,2,6,1]=>[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]
[5,4,3,7,6,1,2]=>[6,1,4,5,3,7,2]=>([(0,6),(1,5),(2,4),(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]=>[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]
[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,6,1,2,7,3]=>[7,1,6,5,4,2,3]=>([(0,6),(1,3),(1,4),(1,5),(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]=>[3,6,1,5,4,2,7]=>([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,6,1,3,7,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,1,7,2,3]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,1,7,3,2]=>[3,7,6,5,4,1,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,4,6,2,1,3,7]=>[2,6,1,5,4,3,7]=>([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,6,2,1,7,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(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]=>[3,6,2,5,4,1,7]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,6,2,3,7,1]=>[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]
[5,4,6,2,7,1,3]=>[7,6,2,5,4,1,3]=>([(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]
[5,4,6,2,7,3,1]=>[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]
[5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7]=>([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,6,3,1,7,2]=>[7,3,6,5,4,1,2]=>([(0,4),(0,5),(0,6),(1,2),(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]
[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]=>([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,4,6,3,2,7,1]=>[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]
[5,4,6,3,7,1,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,3,7,2,1]=>[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]
[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3]=>([(0,6),(1,6),(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]=>[3,7,1,5,4,6,2]=>([(0,1),(0,6),(1,5),(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]=>[2,7,1,5,4,6,3]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,7,2,3,1]=>[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]
[5,4,6,7,3,1,2]=>[3,1,7,5,4,6,2]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,6,7,3,2,1]=>[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]
[5,4,7,1,2,3,6]=>[7,1,2,5,4,3,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,1,2,6,3]=>[6,1,7,5,4,2,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,1,3,2,6]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,1,3,6,2]=>[6,7,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,4,7,1,6,2,3]=>[6,7,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,4,7,1,6,3,2]=>[3,6,7,5,4,1,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,4,7,2,1,3,6]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,2,1,6,3]=>[2,6,7,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,2,3,1,6]=>[3,7,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,2,3,6,1]=>[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]
[5,4,7,2,6,1,3]=>[6,7,2,5,4,1,3]=>([(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)],7)=>[7]
[5,4,7,2,6,3,1]=>[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]
[5,4,7,3,1,2,6]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,3,1,6,2]=>[6,3,7,5,4,1,2]=>([(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)],7)=>[7]
[5,4,7,3,2,1,6]=>[2,3,7,5,4,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,3,2,6,1]=>[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]
[5,4,7,3,6,1,2]=>[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,3,6,2,1]=>[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]
[5,4,7,6,1,2,3]=>[6,1,2,5,4,7,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,6,1,3,2]=>[3,6,1,5,4,7,2]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,6,2,1,3]=>[2,6,1,5,4,7,3]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,6,2,3,1]=>[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]
[5,4,7,6,3,1,2]=>[3,1,6,5,4,7,2]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,4,7,6,3,2,1]=>[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]
[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,6,1,2,3,7,4]=>[7,1,2,6,5,3,4]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,2,4,3,7]=>[4,1,6,2,5,3,7]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[5,6,1,2,4,7,3]=>[7,1,6,2,5,4,3]=>([(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]
[5,6,1,2,7,3,4]=>[7,1,6,2,5,3,4]=>([(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]
[5,6,1,2,7,4,3]=>[4,1,7,6,5,2,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,6,1,3,2,4,7]=>[3,6,1,2,5,4,7]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,6,1,3,2,7,4]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(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]=>[4,6,1,3,5,2,7]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,6,1,3,4,7,2]=>[7,6,1,3,5,4,2]=>([(0,5),(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]
[5,6,1,3,7,2,4]=>[7,6,1,3,5,2,4]=>([(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]
[5,6,1,3,7,4,2]=>[4,7,1,6,5,3,2]=>([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,4,2,3,7]=>[4,6,1,2,5,3,7]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[6,1]
[5,6,1,4,2,7,3]=>[7,4,6,1,5,2,3]=>([(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]
[5,6,1,4,3,2,7]=>[3,4,6,1,5,2,7]=>([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[6,1]
[5,6,1,4,3,7,2]=>[7,4,6,1,5,3,2]=>([(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]
[5,6,1,4,7,2,3]=>[7,6,1,2,5,4,3]=>([(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]
[5,6,1,4,7,3,2]=>[3,7,6,1,5,4,2]=>([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,7,2,3,4]=>[7,6,1,2,5,3,4]=>([(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]
[5,6,1,7,2,4,3]=>[4,7,6,1,5,2,3]=>([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,1,7,3,2,4]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(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]=>[4,7,6,1,5,3,2]=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(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]=>[4,7,1,6,5,2,3]=>([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,1,7,4,3,2]=>[3,4,7,6,5,1,2]=>([(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)],7)=>[7]
[5,6,2,1,3,4,7]=>[2,6,1,3,5,4,7]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,6,2,1,3,7,4]=>[2,7,1,6,5,3,4]=>([(0,1),(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]=>[2,4,6,1,5,3,7]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[5,6,2,1,4,7,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,1,7,3,4]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,1,7,4,3]=>[2,4,7,6,5,1,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,6,2,3,1,4,7]=>[3,6,2,1,5,4,7]=>([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,6,2,3,1,7,4]=>[3,7,2,6,5,1,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,3,4,1,7]=>[4,6,2,3,5,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,6,2,3,4,7,1]=>[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]
[5,6,2,3,7,1,4]=>[7,6,2,3,5,1,4]=>([(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]
[5,6,2,3,7,4,1]=>[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]
[5,6,2,4,1,3,7]=>[4,6,2,1,5,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,6,2,4,1,7,3]=>[7,4,6,2,5,1,3]=>([(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]
[5,6,2,4,3,1,7]=>[3,4,6,2,5,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,6,2,4,3,7,1]=>[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]
[5,6,2,4,7,1,3]=>[7,6,2,1,5,4,3]=>([(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]
[5,6,2,4,7,3,1]=>[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]
[5,6,2,7,1,3,4]=>[7,6,2,1,5,3,4]=>([(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]
[5,6,2,7,1,4,3]=>[4,7,6,2,5,1,3]=>([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,2,7,3,1,4]=>[3,7,6,2,5,1,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(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]=>[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]
[5,6,2,7,4,1,3]=>[4,7,2,6,5,1,3]=>([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,6,2,7,4,3,1]=>[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]
[5,6,3,1,2,4,7]=>[3,1,6,2,5,4,7]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[6,1]
[5,6,3,1,2,7,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,1,4,2,7]=>[4,3,6,1,5,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,6,3,1,4,7,2]=>[7,3,6,1,5,4,2]=>([(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]
[5,6,3,1,7,2,4]=>[7,3,6,1,5,2,4]=>([(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]
[5,6,3,1,7,4,2]=>[4,3,7,6,5,1,2]=>([(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)],7)=>[7]
[5,6,3,2,1,4,7]=>[2,3,6,1,5,4,7]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,6,3,2,1,7,4]=>[2,3,7,6,5,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,2,4,1,7]=>[4,3,6,2,5,1,7]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,6,3,2,4,7,1]=>[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]
[5,6,3,2,7,1,4]=>[7,3,6,2,5,1,4]=>([(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]
[5,6,3,2,7,4,1]=>[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]
[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7]=>([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,6,3,4,1,7,2]=>[7,4,6,3,5,1,2]=>([(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]
[5,6,3,4,2,1,7]=>[2,4,6,3,5,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,6,3,4,2,7,1]=>[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]
[5,6,3,4,7,1,2]=>[7,1,6,3,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,4,7,2,1]=>[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]
[5,6,3,7,1,2,4]=>[7,1,6,3,5,2,4]=>([(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]
[5,6,3,7,1,4,2]=>[4,7,6,3,5,1,2]=>([(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)],7)=>[7]
[5,6,3,7,2,1,4]=>[2,7,6,3,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,7,2,4,1]=>[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]
[5,6,3,7,4,1,2]=>[4,1,7,6,5,3,2]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,3,7,4,2,1]=>[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]
[5,6,4,1,2,3,7]=>[4,1,2,6,5,3,7]=>([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,6,4,1,2,7,3]=>[7,1,4,6,5,2,3]=>([(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]
[5,6,4,1,3,2,7]=>[3,4,1,6,5,2,7]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,6,4,1,3,7,2]=>[7,4,1,6,5,3,2]=>([(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]
[5,6,4,1,7,2,3]=>[7,4,1,6,5,2,3]=>([(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]
[5,6,4,1,7,3,2]=>[3,7,4,6,5,1,2]=>([(0,5),(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)],7)=>[7]
[5,6,4,2,1,3,7]=>[2,4,1,6,5,3,7]=>([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[6,1]
[5,6,4,2,1,7,3]=>[2,7,4,6,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,6,4,2,3,1,7]=>[3,4,2,6,5,1,7]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,6,4,2,3,7,1]=>[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]
[5,6,4,2,7,1,3]=>[7,4,2,6,5,1,3]=>([(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]
[5,6,4,2,7,3,1]=>[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]
[5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7]=>([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[5,6,4,3,1,7,2]=>[7,3,4,6,5,1,2]=>([(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]
[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[5,6,4,3,2,7,1]=>[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]
[5,6,4,3,7,1,2]=>[7,1,4,6,5,3,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,3,7,2,1]=>[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]
[5,6,4,7,1,2,3]=>[7,1,2,6,5,4,3]=>([(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]
[5,6,4,7,1,3,2]=>[3,7,1,6,5,4,2]=>([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,7,2,1,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,7,2,3,1]=>[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]
[5,6,4,7,3,1,2]=>[3,1,7,6,5,4,2]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,4,7,3,2,1]=>[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]
[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,1,2,4,3]=>[4,1,7,2,5,6,3]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[5,6,7,1,3,2,4]=>[3,7,1,2,5,6,4]=>([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,1,3,4,2]=>[4,7,1,3,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,1,4,2,3]=>[4,7,1,2,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[5,6,7,1,4,3,2]=>[3,4,7,1,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[5,6,7,2,1,3,4]=>[2,7,1,3,5,6,4]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,7,2,1,4,3]=>[2,4,7,1,5,6,3]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[5,6,7,2,3,1,4]=>[3,7,2,1,5,6,4]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,2,3,4,1]=>[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]
[5,6,7,2,4,1,3]=>[4,7,2,1,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[5,6,7,2,4,3,1]=>[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]
[5,6,7,3,1,2,4]=>[3,1,7,2,5,6,4]=>([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[7]
[5,6,7,3,1,4,2]=>[4,3,7,1,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[5,6,7,3,2,1,4]=>[2,3,7,1,5,6,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,7,3,2,4,1]=>[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]
[5,6,7,3,4,1,2]=>[4,1,7,3,5,6,2]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,7,3,4,2,1]=>[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]
[5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,7,4,1,3,2]=>[3,4,1,7,5,6,2]=>([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,6,7,4,2,1,3]=>[2,4,1,7,5,6,3]=>([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[7]
[5,6,7,4,2,3,1]=>[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]
[5,6,7,4,3,1,2]=>[3,1,4,7,5,6,2]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,7,4,3,2,1]=>[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]
[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,2,3,6,4]=>[6,1,2,7,5,3,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,2,4,3,6]=>[4,1,7,2,5,3,6]=>([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,7,1,2,4,6,3]=>[6,1,7,2,5,4,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,1,2,6,3,4]=>[6,1,7,2,5,3,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,1,2,6,4,3]=>[4,1,6,7,5,2,3]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[5,7,1,3,2,4,6]=>[3,7,1,2,5,4,6]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,3,2,6,4]=>[3,6,1,7,5,2,4]=>([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,3,4,2,6]=>[4,7,1,3,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,3,4,6,2]=>[6,7,1,3,5,4,2]=>([(0,5),(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)],7)=>[7]
[5,7,1,3,6,2,4]=>[6,7,1,3,5,2,4]=>([(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)],7)=>[7]
[5,7,1,3,6,4,2]=>[4,6,1,7,5,3,2]=>([(0,2),(0,4),(1,3),(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]=>[4,7,1,2,5,3,6]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,7,1,4,2,6,3]=>[6,4,7,1,5,2,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[5,7,1,4,3,2,6]=>[3,4,7,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[5,7,1,4,3,6,2]=>[6,4,7,1,5,3,2]=>([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,4,6,2,3]=>[6,7,1,2,5,4,3]=>([(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)],7)=>[7]
[5,7,1,4,6,3,2]=>[3,6,7,1,5,4,2]=>([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,6,2,3,4]=>[6,7,1,2,5,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,1,6,2,4,3]=>[4,6,7,1,5,2,3]=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,1,6,3,2,4]=>[3,6,7,1,5,2,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,6,3,4,2]=>[4,6,7,1,5,3,2]=>([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,1,6,4,2,3]=>[4,6,1,7,5,2,3]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,1,6,4,3,2]=>[3,4,6,7,5,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,2,1,3,4,6]=>[2,7,1,3,5,4,6]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,1,3,6,4]=>[2,6,1,7,5,3,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,1,4,3,6]=>[2,4,7,1,5,3,6]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[5,7,2,1,4,6,3]=>[2,6,7,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,2,1,6,3,4]=>[2,6,7,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[5,7,2,1,6,4,3]=>[2,4,6,7,5,1,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,2,3,1,4,6]=>[3,7,2,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,3,1,6,4]=>[3,6,2,7,5,1,4]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,3,4,1,6]=>[4,7,2,3,5,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,3,4,6,1]=>[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]
[5,7,2,3,6,1,4]=>[6,7,2,3,5,1,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,2,3,6,4,1]=>[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]
[5,7,2,4,1,3,6]=>[4,7,2,1,5,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,2,4,1,6,3]=>[6,4,7,2,5,1,3]=>([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,4,3,1,6]=>[3,4,7,2,5,1,6]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,4,3,6,1]=>[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]
[5,7,2,4,6,1,3]=>[6,7,2,1,5,4,3]=>([(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)],7)=>[7]
[5,7,2,4,6,3,1]=>[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]
[5,7,2,6,1,3,4]=>[6,7,2,1,5,3,4]=>([(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)],7)=>[7]
[5,7,2,6,1,4,3]=>[4,6,7,2,5,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[5,7,2,6,3,1,4]=>[3,6,7,2,5,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,6,3,4,1]=>[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]
[5,7,2,6,4,1,3]=>[4,6,2,7,5,1,3]=>([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,2,6,4,3,1]=>[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]
[5,7,3,1,2,4,6]=>[3,1,7,2,5,4,6]=>([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,3,1,2,6,4]=>[3,1,6,7,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,1,4,2,6]=>[4,3,7,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[5,7,3,1,4,6,2]=>[6,3,7,1,5,4,2]=>([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,7,3,1,6,2,4]=>[6,3,7,1,5,2,4]=>([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,1,6,4,2]=>[4,3,6,7,5,1,2]=>([(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)],7)=>[7]
[5,7,3,2,1,4,6]=>[2,3,7,1,5,4,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,3,2,1,6,4]=>[2,3,6,7,5,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,2,4,1,6]=>[4,3,7,2,5,1,6]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,2,4,6,1]=>[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]
[5,7,3,2,6,1,4]=>[6,3,7,2,5,1,4]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,2,6,4,1]=>[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]
[5,7,3,4,1,2,6]=>[4,1,7,3,5,2,6]=>([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,4,1,6,2]=>[6,4,7,3,5,1,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,3,4,2,1,6]=>[2,4,7,3,5,1,6]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,3,4,2,6,1]=>[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]
[5,7,3,4,6,1,2]=>[6,1,7,3,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,7,3,4,6,2,1]=>[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]
[5,7,3,6,1,2,4]=>[6,1,7,3,5,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,3,6,1,4,2]=>[4,6,7,3,5,1,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,3,6,2,1,4]=>[2,6,7,3,5,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,3,6,2,4,1]=>[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]
[5,7,3,6,4,1,2]=>[4,1,6,7,5,3,2]=>([(0,3),(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]=>[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]
[5,7,4,1,2,3,6]=>[4,1,2,7,5,3,6]=>([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,4,1,2,6,3]=>[6,1,4,7,5,2,3]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,4,1,3,2,6]=>[3,4,1,7,5,2,6]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,1,3,6,2]=>[6,4,1,7,5,3,2]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,1,6,2,3]=>[6,4,1,7,5,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,1,6,3,2]=>[3,6,4,7,5,1,2]=>([(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)],7)=>[7]
[5,7,4,2,1,3,6]=>[2,4,1,7,5,3,6]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)=>[7]
[5,7,4,2,1,6,3]=>[2,6,4,7,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,4,2,3,1,6]=>[3,4,2,7,5,1,6]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,4,2,3,6,1]=>[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]
[5,7,4,2,6,1,3]=>[6,4,2,7,5,1,3]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,2,6,3,1]=>[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]
[5,7,4,3,1,2,6]=>[3,1,4,7,5,2,6]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,3,1,6,2]=>[6,3,4,7,5,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,4,3,2,1,6]=>[2,3,4,7,5,1,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,3,2,6,1]=>[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]
[5,7,4,3,6,1,2]=>[6,1,4,7,5,3,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,3,6,2,1]=>[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]
[5,7,4,6,1,2,3]=>[6,1,2,7,5,4,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,6,1,3,2]=>[3,6,1,7,5,4,2]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,6,2,1,3]=>[2,6,1,7,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,4,6,2,3,1]=>[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]
[5,7,4,6,3,1,2]=>[3,1,6,7,5,4,2]=>([(0,1),(1,6),(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]=>[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]
[5,7,6,1,2,3,4]=>[6,1,2,3,5,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,2,4,3]=>[4,1,6,2,5,7,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,3,2,4]=>[3,6,1,2,5,7,4]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,3,4,2]=>[4,6,1,3,5,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,4,2,3]=>[4,6,1,2,5,7,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[5,7,6,1,4,3,2]=>[3,4,6,1,5,7,2]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,7,6,2,1,3,4]=>[2,6,1,3,5,7,4]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,2,1,4,3]=>[2,4,6,1,5,7,3]=>([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[5,7,6,2,3,1,4]=>[3,6,2,1,5,7,4]=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,6,2,3,4,1]=>[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]
[5,7,6,2,4,1,3]=>[4,6,2,1,5,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[5,7,6,2,4,3,1]=>[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]
[5,7,6,3,1,2,4]=>[3,1,6,2,5,7,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)=>[7]
[5,7,6,3,1,4,2]=>[4,3,6,1,5,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,6,3,2,1,4]=>[2,3,6,1,5,7,4]=>([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,6,3,2,4,1]=>[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]
[5,7,6,3,4,1,2]=>[4,1,6,3,5,7,2]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,6,3,4,2,1]=>[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]
[5,7,6,4,1,2,3]=>[4,1,2,6,5,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,6,4,1,3,2]=>[3,4,1,6,5,7,2]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[5,7,6,4,2,1,3]=>[2,4,1,6,5,7,3]=>([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[5,7,6,4,2,3,1]=>[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]
[5,7,6,4,3,1,2]=>[3,1,4,6,5,7,2]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,1,2,3,4,7,5]=>[7,1,2,3,6,4,5]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,3,5,4,7]=>[5,1,2,6,3,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,1,2,3,5,7,4]=>[7,1,2,6,3,5,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,3,7,4,5]=>[7,1,2,6,3,4,5]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,3,7,5,4]=>[5,1,2,7,6,3,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,1,2,4,3,5,7]=>[4,1,6,2,3,5,7]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,2,4,3,7,5]=>[4,1,7,2,6,3,5]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[6,1,2,4,5,3,7]=>[5,1,6,2,4,3,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,2,4,5,7,3]=>[7,1,6,2,4,5,3]=>([(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]
[6,1,2,4,7,3,5]=>[7,1,6,2,4,3,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,4,7,5,3]=>[5,1,7,2,6,4,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,1,2,5,3,4,7]=>[5,1,6,2,3,4,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,2,5,3,7,4]=>[7,1,5,6,2,3,4]=>([(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]
[6,1,2,5,4,3,7]=>[4,1,5,6,2,3,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,1,2,5,4,7,3]=>[7,1,5,6,2,4,3]=>([(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]
[6,1,2,5,7,3,4]=>[7,1,6,2,3,5,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,5,7,4,3]=>[4,1,7,6,2,5,3]=>([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,7,3,4,5]=>[7,1,6,2,3,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,2,7,3,5,4]=>[5,1,7,6,2,3,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[6,1,2,7,4,3,5]=>[4,1,7,6,2,3,5]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[6,1,2,7,4,5,3]=>[5,1,7,6,2,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[6,1,2,7,5,3,4]=>[5,1,7,2,6,3,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,1,2,7,5,4,3]=>[4,1,5,7,6,2,3]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,1,3,2,4,5,7]=>[3,6,1,2,4,5,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,1,3,2,4,7,5]=>[3,7,1,2,6,4,5]=>([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,2,5,4,7]=>[3,5,1,6,2,4,7]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>[6,1]
[6,1,3,2,5,7,4]=>[3,7,1,6,2,5,4]=>([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,2,7,4,5]=>[3,7,1,6,2,4,5]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,2,7,5,4]=>[3,5,1,7,6,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,3,4,2,5,7]=>[4,6,1,3,2,5,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,3,4,2,7,5]=>[4,7,1,3,6,2,5]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,4,5,2,7]=>[5,6,1,3,4,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,3,4,5,7,2]=>[7,6,1,3,4,5,2]=>([(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]
[6,1,3,4,7,2,5]=>[7,6,1,3,4,2,5]=>([(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]
[6,1,3,4,7,5,2]=>[5,7,1,3,6,4,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,1,3,5,2,4,7]=>[5,6,1,3,2,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,3,5,2,7,4]=>[7,5,1,6,3,2,4]=>([(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]
[6,1,3,5,4,2,7]=>[4,5,1,6,3,2,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,1,3,5,4,7,2]=>[7,5,1,6,3,4,2]=>([(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]
[6,1,3,5,7,2,4]=>[7,6,1,3,2,5,4]=>([(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]
[6,1,3,5,7,4,2]=>[4,7,1,6,3,5,2]=>([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,7,2,4,5]=>[7,6,1,3,2,4,5]=>([(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]
[6,1,3,7,2,5,4]=>[5,7,1,6,3,2,4]=>([(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)],7)=>[7]
[6,1,3,7,4,2,5]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,3,7,4,5,2]=>[5,7,1,6,3,4,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,1,3,7,5,2,4]=>[5,7,1,3,6,2,4]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,1,3,7,5,4,2]=>[4,5,1,7,6,3,2]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,2,3,5,7]=>[4,6,1,2,3,5,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,4,2,3,7,5]=>[4,7,1,2,6,3,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,2,5,3,7]=>[5,4,6,1,2,3,7]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,1,4,2,5,7,3]=>[7,4,6,1,2,5,3]=>([(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]
[6,1,4,2,7,3,5]=>[7,4,6,1,2,3,5]=>([(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]
[6,1,4,2,7,5,3]=>[5,4,7,1,6,2,3]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,1,4,3,2,5,7]=>[3,4,6,1,2,5,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,1,4,3,2,7,5]=>[3,4,7,1,6,2,5]=>([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,3,5,2,7]=>[5,4,6,1,3,2,7]=>([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,1,4,3,5,7,2]=>[7,4,6,1,3,5,2]=>([(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]
[6,1,4,3,7,2,5]=>[7,4,6,1,3,2,5]=>([(0,5),(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]
[6,1,4,3,7,5,2]=>[5,4,7,1,6,3,2]=>([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,5,2,3,7]=>[5,6,1,2,4,3,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,4,5,2,7,3]=>[7,5,6,1,4,2,3]=>([(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),(4,6),(5,6)],7)=>[7]
[6,1,4,5,3,2,7]=>[3,5,6,1,4,2,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,4,5,3,7,2]=>[7,5,6,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(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]
[6,1,4,5,7,2,3]=>[7,6,1,2,4,5,3]=>([(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]
[6,1,4,5,7,3,2]=>[3,7,6,1,4,5,2]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,7,2,3,5]=>[7,6,1,2,4,3,5]=>([(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]
[6,1,4,7,2,5,3]=>[5,7,6,1,4,2,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,7,3,2,5]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(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]=>[5,7,6,1,4,3,2]=>([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,4,7,5,2,3]=>[5,7,1,2,6,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,1,4,7,5,3,2]=>[3,5,7,1,6,4,2]=>([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,2,3,4,7]=>[5,6,1,2,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,5,2,3,7,4]=>[7,5,1,6,2,3,4]=>([(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]
[6,1,5,2,4,3,7]=>[4,5,6,1,2,3,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[6,1]
[6,1,5,2,4,7,3]=>[7,5,6,1,2,4,3]=>([(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]
[6,1,5,2,7,3,4]=>[7,5,6,1,2,3,4]=>([(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]
[6,1,5,2,7,4,3]=>[4,7,5,6,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,5,3,2,4,7]=>[3,5,6,1,2,4,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,5,3,2,7,4]=>[3,7,5,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,5,3,4,2,7]=>[4,5,6,1,3,2,7]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,1,5,3,4,7,2]=>[7,5,6,1,3,4,2]=>([(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]
[6,1,5,3,7,2,4]=>[7,5,6,1,3,2,4]=>([(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]
[6,1,5,3,7,4,2]=>[4,7,5,6,1,3,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,4,2,3,7]=>[4,5,1,6,2,3,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,5,4,2,7,3]=>[7,4,5,6,1,2,3]=>([(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]
[6,1,5,4,3,2,7]=>[3,4,5,6,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,1,5,4,3,7,2]=>[7,4,5,6,1,3,2]=>([(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]
[6,1,5,4,7,2,3]=>[7,5,1,6,2,4,3]=>([(0,5),(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]
[6,1,5,4,7,3,2]=>[3,7,5,6,1,4,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,1,5,7,2,3,4]=>[7,6,1,2,3,5,4]=>([(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]
[6,1,5,7,2,4,3]=>[4,7,6,1,2,5,3]=>([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,7,3,2,4]=>[3,7,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,7,3,4,2]=>[4,7,6,1,3,5,2]=>([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,7,4,2,3]=>[4,7,1,6,2,5,3]=>([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,5,7,4,3,2]=>[3,4,7,6,1,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,1,7,2,3,4,5]=>[7,6,1,2,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,2,3,5,4]=>[5,7,1,6,2,3,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[6,1,7,2,4,3,5]=>[4,7,6,1,2,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,2,4,5,3]=>[5,7,6,1,2,4,3]=>([(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),(5,6)],7)=>[7]
[6,1,7,2,5,3,4]=>[5,7,6,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[6,1,7,2,5,4,3]=>[4,5,7,6,1,2,3]=>([(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)],7)=>[7]
[6,1,7,3,2,4,5]=>[3,7,6,1,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,3,2,5,4]=>[3,5,7,6,1,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,1,7,3,4,2,5]=>[4,7,6,1,3,2,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,3,4,5,2]=>[5,7,6,1,3,4,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,3,5,2,4]=>[5,7,6,1,3,2,4]=>([(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),(5,6)],7)=>[7]
[6,1,7,3,5,4,2]=>[4,5,7,6,1,3,2]=>([(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),(5,6)],7)=>[7]
[6,1,7,4,2,3,5]=>[4,7,1,6,2,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[6,1,7,4,2,5,3]=>[5,4,7,6,1,2,3]=>([(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)],7)=>[7]
[6,1,7,4,3,2,5]=>[3,4,7,6,1,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,1,7,4,3,5,2]=>[5,4,7,6,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,4,5,2,3]=>[5,7,1,6,2,4,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[6,1,7,4,5,3,2]=>[3,5,7,6,1,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[6,1,7,5,2,3,4]=>[5,7,1,2,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,1,7,5,2,4,3]=>[4,5,7,1,6,2,3]=>([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,1,7,5,3,2,4]=>[3,5,7,1,6,2,4]=>([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,1,7,5,3,4,2]=>[4,5,7,1,6,3,2]=>([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,1,7,5,4,2,3]=>[4,5,1,7,6,2,3]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,1,7,5,4,3,2]=>[3,4,5,7,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[6,1]
[6,2,1,3,4,7,5]=>[2,7,1,3,6,4,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,1,3,5,4,7]=>[2,5,1,6,3,4,7]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,2,1,3,5,7,4]=>[2,7,1,6,3,5,4]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,3,7,4,5]=>[2,7,1,6,3,4,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,1,3,7,5,4]=>[2,5,1,7,6,3,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,2,1,4,3,5,7]=>[2,4,6,1,3,5,7]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,2,1,4,3,7,5]=>[2,4,7,1,6,3,5]=>([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,1,4,5,3,7]=>[2,5,6,1,4,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,2,1,4,5,7,3]=>[2,7,6,1,4,5,3]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,4,7,3,5]=>[2,7,6,1,4,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,4,7,5,3]=>[2,5,7,1,6,4,3]=>([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,5,3,4,7]=>[2,5,6,1,3,4,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,2,1,5,3,7,4]=>[2,7,5,6,1,3,4]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,5,4,3,7]=>[2,4,5,6,1,3,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,2,1,5,4,7,3]=>[2,7,5,6,1,4,3]=>([(0,5),(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]
[6,2,1,5,7,3,4]=>[2,7,6,1,3,5,4]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,5,7,4,3]=>[2,4,7,6,1,5,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,2,1,7,3,4,5]=>[2,7,6,1,3,4,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,7,3,5,4]=>[2,5,7,6,1,3,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,7,4,3,5]=>[2,4,7,6,1,3,5]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,1,7,4,5,3]=>[2,5,7,6,1,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[6,2,1,7,5,3,4]=>[2,5,7,1,6,3,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[6,2,1,7,5,4,3]=>[2,4,5,7,6,1,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,2,3,1,4,5,7]=>[3,6,2,1,4,5,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,2,3,1,4,7,5]=>[3,7,2,1,6,4,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,1,5,4,7]=>[3,5,2,6,1,4,7]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,2,3,1,5,7,4]=>[3,7,2,6,1,5,4]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,1,7,4,5]=>[3,7,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,1,7,5,4]=>[3,5,2,7,6,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,4,1,5,7]=>[4,6,2,3,1,5,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,2,3,4,1,7,5]=>[4,7,2,3,6,1,5]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,4,5,1,7]=>[5,6,2,3,4,1,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,2,3,4,5,7,1]=>[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]
[6,2,3,4,7,1,5]=>[7,6,2,3,4,1,5]=>([(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]
[6,2,3,4,7,5,1]=>[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]
[6,2,3,5,1,4,7]=>[5,6,2,3,1,4,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,2,3,5,1,7,4]=>[7,5,2,6,3,1,4]=>([(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]
[6,2,3,5,4,1,7]=>[4,5,2,6,3,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,2,3,5,4,7,1]=>[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]
[6,2,3,5,7,1,4]=>[7,6,2,3,1,5,4]=>([(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]
[6,2,3,5,7,4,1]=>[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]
[6,2,3,7,1,4,5]=>[7,6,2,3,1,4,5]=>([(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]
[6,2,3,7,1,5,4]=>[5,7,2,6,3,1,4]=>([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,2,3,7,4,1,5]=>[4,7,2,6,3,1,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,3,7,4,5,1]=>[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]
[6,2,3,7,5,1,4]=>[5,7,2,3,6,1,4]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,2,3,7,5,4,1]=>[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]
[6,2,4,1,3,5,7]=>[4,6,2,1,3,5,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,2,4,1,3,7,5]=>[4,7,2,1,6,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,1,5,3,7]=>[5,4,6,2,1,3,7]=>([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,2,4,1,5,7,3]=>[7,4,6,2,1,5,3]=>([(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]
[6,2,4,1,7,3,5]=>[7,4,6,2,1,3,5]=>([(0,5),(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]
[6,2,4,1,7,5,3]=>[5,4,7,2,6,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[6,2,4,3,1,5,7]=>[3,4,6,2,1,5,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,2,4,3,1,7,5]=>[3,4,7,2,6,1,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,3,5,1,7]=>[5,4,6,2,3,1,7]=>([(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)=>[6,1]
[6,2,4,3,5,7,1]=>[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]
[6,2,4,3,7,1,5]=>[7,4,6,2,3,1,5]=>([(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]
[6,2,4,3,7,5,1]=>[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]
[6,2,4,5,1,3,7]=>[5,6,2,1,4,3,7]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,2,4,5,1,7,3]=>[7,5,6,2,4,1,3]=>([(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]
[6,2,4,5,3,1,7]=>[3,5,6,2,4,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,2,4,5,3,7,1]=>[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]
[6,2,4,5,7,1,3]=>[7,6,2,1,4,5,3]=>([(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]
[6,2,4,5,7,3,1]=>[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]
[6,2,4,7,1,3,5]=>[7,6,2,1,4,3,5]=>([(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]
[6,2,4,7,1,5,3]=>[5,7,6,2,4,1,3]=>([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,7,3,1,5]=>[3,7,6,2,4,1,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,7,3,5,1]=>[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]
[6,2,4,7,5,1,3]=>[5,7,2,1,6,4,3]=>([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,4,7,5,3,1]=>[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]
[6,2,5,1,3,4,7]=>[5,6,2,1,3,4,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,2,5,1,3,7,4]=>[7,5,2,6,1,3,4]=>([(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]
[6,2,5,1,4,3,7]=>[4,5,6,2,1,3,7]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,2,5,1,4,7,3]=>[7,5,6,2,1,4,3]=>([(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]
[6,2,5,1,7,3,4]=>[7,5,6,2,1,3,4]=>([(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]
[6,2,5,1,7,4,3]=>[4,7,5,6,2,1,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,3,1,4,7]=>[3,5,6,2,1,4,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,2,5,3,1,7,4]=>[3,7,5,6,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,3,4,1,7]=>[4,5,6,2,3,1,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,2,5,3,4,7,1]=>[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]
[6,2,5,3,7,1,4]=>[7,5,6,2,3,1,4]=>([(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]
[6,2,5,3,7,4,1]=>[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]
[6,2,5,4,1,3,7]=>[4,5,2,6,1,3,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,2,5,4,1,7,3]=>[7,4,5,6,2,1,3]=>([(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]
[6,2,5,4,3,1,7]=>[3,4,5,6,2,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,2,5,4,3,7,1]=>[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]
[6,2,5,4,7,1,3]=>[7,5,2,6,1,4,3]=>([(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]
[6,2,5,4,7,3,1]=>[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]
[6,2,5,7,1,3,4]=>[7,6,2,1,3,5,4]=>([(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]
[6,2,5,7,1,4,3]=>[4,7,6,2,1,5,3]=>([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,7,3,1,4]=>[3,7,6,2,1,5,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,7,3,4,1]=>[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]
[6,2,5,7,4,1,3]=>[4,7,2,6,1,5,3]=>([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,5,7,4,3,1]=>[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]
[6,2,7,1,3,4,5]=>[7,6,2,1,3,4,5]=>([(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]
[6,2,7,1,3,5,4]=>[5,7,2,6,1,3,4]=>([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,1,4,3,5]=>[4,7,6,2,1,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,1,4,5,3]=>[5,7,6,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,1,5,3,4]=>[5,7,6,2,1,3,4]=>([(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),(5,6)],7)=>[7]
[6,2,7,1,5,4,3]=>[4,5,7,6,2,1,3]=>([(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),(5,6)],7)=>[7]
[6,2,7,3,1,4,5]=>[3,7,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,3,1,5,4]=>[3,5,7,6,2,1,4]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,3,4,1,5]=>[4,7,6,2,3,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[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]
[6,2,7,3,5,1,4]=>[5,7,6,2,3,1,4]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,3,5,4,1]=>[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]
[6,2,7,4,1,3,5]=>[4,7,2,6,1,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,4,1,5,3]=>[5,4,7,6,2,1,3]=>([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,4,3,1,5]=>[3,4,7,6,2,1,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,4,3,5,1]=>[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]
[6,2,7,4,5,1,3]=>[5,7,2,6,1,4,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[6,2,7,4,5,3,1]=>[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]
[6,2,7,5,1,3,4]=>[5,7,2,1,6,3,4]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,2,7,5,1,4,3]=>[4,5,7,2,6,1,3]=>([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,5,3,1,4]=>[3,5,7,2,6,1,4]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,2,7,5,3,4,1]=>[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]
[6,2,7,5,4,1,3]=>[4,5,2,7,6,1,3]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,2,7,5,4,3,1]=>[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]
[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[6,1]
[6,3,1,2,4,7,5]=>[3,1,7,2,6,4,5]=>([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[7]
[6,3,1,2,5,4,7]=>[3,1,5,6,2,4,7]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,3,1,2,5,7,4]=>[3,1,7,6,2,5,4]=>([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,2,7,4,5]=>[3,1,7,6,2,4,5]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,2,7,5,4]=>[3,1,5,7,6,2,4]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,3,1,4,2,5,7]=>[4,3,6,1,2,5,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,3,1,4,2,7,5]=>[4,3,7,1,6,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,4,5,2,7]=>[5,3,6,1,4,2,7]=>([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,1,4,5,7,2]=>[7,3,6,1,4,5,2]=>([(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]
[6,3,1,4,7,2,5]=>[7,3,6,1,4,2,5]=>([(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]
[6,3,1,4,7,5,2]=>[5,3,7,1,6,4,2]=>([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,5,2,4,7]=>[5,3,6,1,2,4,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,3,1,5,2,7,4]=>[7,3,5,6,1,2,4]=>([(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]
[6,3,1,5,4,2,7]=>[4,3,5,6,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,3,1,5,4,7,2]=>[7,3,5,6,1,4,2]=>([(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]
[6,3,1,5,7,2,4]=>[7,3,6,1,2,5,4]=>([(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]
[6,3,1,5,7,4,2]=>[4,3,7,6,1,5,2]=>([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,7,2,4,5]=>[7,3,6,1,2,4,5]=>([(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]
[6,3,1,7,2,5,4]=>[5,3,7,6,1,2,4]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,3,1,7,4,2,5]=>[4,3,7,6,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,1,7,4,5,2]=>[5,3,7,6,1,4,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[6,3,1,7,5,2,4]=>[5,3,7,1,6,2,4]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,1,7,5,4,2]=>[4,3,5,7,6,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[6,1]
[6,3,2,1,4,7,5]=>[2,3,7,1,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,2,1,5,4,7]=>[2,3,5,6,1,4,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,3,2,1,5,7,4]=>[2,3,7,6,1,5,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,1,7,4,5]=>[2,3,7,6,1,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,1,7,5,4]=>[2,3,5,7,6,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,3,2,4,1,5,7]=>[4,3,6,2,1,5,7]=>([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,2,4,1,7,5]=>[4,3,7,2,6,1,5]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]=>([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,2,4,5,7,1]=>[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]
[6,3,2,4,7,1,5]=>[7,3,6,2,4,1,5]=>([(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]
[6,3,2,4,7,5,1]=>[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]
[6,3,2,5,1,4,7]=>[5,3,6,2,1,4,7]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,2,5,1,7,4]=>[7,3,5,6,2,1,4]=>([(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]
[6,3,2,5,4,1,7]=>[4,3,5,6,2,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,2,5,4,7,1]=>[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]
[6,3,2,5,7,1,4]=>[7,3,6,2,1,5,4]=>([(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]
[6,3,2,5,7,4,1]=>[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]
[6,3,2,7,1,4,5]=>[7,3,6,2,1,4,5]=>([(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]
[6,3,2,7,1,5,4]=>[5,3,7,6,2,1,4]=>([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,7,4,1,5]=>[4,3,7,6,2,1,5]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,7,4,5,1]=>[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]
[6,3,2,7,5,1,4]=>[5,3,7,2,6,1,4]=>([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,2,7,5,4,1]=>[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]
[6,3,4,1,2,5,7]=>[4,1,6,3,2,5,7]=>([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,3,4,1,2,7,5]=>[4,1,7,3,6,2,5]=>([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,3,4,1,5,2,7]=>[5,4,6,3,1,2,7]=>([(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)=>[6,1]
[6,3,4,1,5,7,2]=>[7,4,6,3,1,5,2]=>([(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]
[6,3,4,1,7,2,5]=>[7,4,6,3,1,2,5]=>([(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]
[6,3,4,1,7,5,2]=>[5,4,7,3,6,1,2]=>([(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)],7)=>[7]
[6,3,4,2,1,5,7]=>[2,4,6,3,1,5,7]=>([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,4,2,1,7,5]=>[2,4,7,3,6,1,5]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,4,2,5,1,7]=>[5,4,6,3,2,1,7]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,4,2,5,7,1]=>[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]
[6,3,4,2,7,1,5]=>[7,4,6,3,2,1,5]=>([(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]
[6,3,4,2,7,5,1]=>[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]
[6,3,4,5,1,2,7]=>[5,1,6,3,4,2,7]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,4,5,1,7,2]=>[7,5,6,3,4,1,2]=>([(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]
[6,3,4,5,2,1,7]=>[2,5,6,3,4,1,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,3,4,5,2,7,1]=>[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]
[6,3,4,5,7,1,2]=>[7,1,6,3,4,5,2]=>([(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]
[6,3,4,5,7,2,1]=>[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]
[6,3,4,7,1,2,5]=>[7,1,6,3,4,2,5]=>([(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]
[6,3,4,7,1,5,2]=>[5,7,6,3,4,1,2]=>([(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),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,3,4,7,2,1,5]=>[2,7,6,3,4,1,5]=>([(0,6),(1,4),(1,5),(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]=>[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]
[6,3,4,7,5,1,2]=>[5,1,7,3,6,4,2]=>([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,4,7,5,2,1]=>[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]
[6,3,5,1,2,4,7]=>[5,1,6,3,2,4,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,3,5,1,2,7,4]=>[7,1,5,6,3,2,4]=>([(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]
[6,3,5,1,4,2,7]=>[4,5,6,3,1,2,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,3,5,1,4,7,2]=>[7,5,6,3,1,4,2]=>([(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]
[6,3,5,1,7,2,4]=>[7,5,6,3,1,2,4]=>([(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]
[6,3,5,1,7,4,2]=>[4,7,5,6,3,1,2]=>([(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]
[6,3,5,2,1,4,7]=>[2,5,6,3,1,4,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,3,5,2,1,7,4]=>[2,7,5,6,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,2,4,1,7]=>[4,5,6,3,2,1,7]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,5,2,4,7,1]=>[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]
[6,3,5,2,7,1,4]=>[7,5,6,3,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(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]
[6,3,5,2,7,4,1]=>[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]
[6,3,5,4,1,2,7]=>[4,1,5,6,3,2,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,5,4,1,7,2]=>[7,4,5,6,3,1,2]=>([(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]
[6,3,5,4,2,1,7]=>[2,4,5,6,3,1,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,3,5,4,2,7,1]=>[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]
[6,3,5,4,7,1,2]=>[7,1,5,6,3,4,2]=>([(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]
[6,3,5,4,7,2,1]=>[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]
[6,3,5,7,1,2,4]=>[7,1,6,3,2,5,4]=>([(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]
[6,3,5,7,1,4,2]=>[4,7,6,3,1,5,2]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,7,2,1,4]=>[2,7,6,3,1,5,4]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,7,2,4,1]=>[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]
[6,3,5,7,4,1,2]=>[4,1,7,6,3,5,2]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,5,7,4,2,1]=>[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]
[6,3,7,1,2,4,5]=>[7,1,6,3,2,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,1,2,5,4]=>[5,1,7,6,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[6,3,7,1,4,2,5]=>[4,7,6,3,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[5,7,6,3,1,4,2]=>([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,1,5,2,4]=>[5,7,6,3,1,2,4]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,1,5,4,2]=>[4,5,7,6,3,1,2]=>([(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]
[6,3,7,2,1,4,5]=>[2,7,6,3,1,4,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,2,1,5,4]=>[2,5,7,6,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,2,4,1,5]=>[4,7,6,3,2,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,2,4,5,1]=>[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]
[6,3,7,2,5,1,4]=>[5,7,6,3,2,1,4]=>([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,2,5,4,1]=>[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]
[6,3,7,4,1,2,5]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,4,1,5,2]=>[5,4,7,6,3,1,2]=>([(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]
[6,3,7,4,2,1,5]=>[2,4,7,6,3,1,5]=>([(0,6),(1,3),(1,4),(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]=>[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]
[6,3,7,4,5,1,2]=>[5,1,7,6,3,4,2]=>([(0,5),(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]
[6,3,7,4,5,2,1]=>[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]
[6,3,7,5,1,2,4]=>[5,1,7,3,6,2,4]=>([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,3,7,5,1,4,2]=>[4,5,7,3,6,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,3,7,5,2,1,4]=>[2,5,7,3,6,1,4]=>([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,5,2,4,1]=>[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]
[6,3,7,5,4,1,2]=>[4,1,5,7,6,3,2]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,3,7,5,4,2,1]=>[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]
[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[6,1]
[6,4,1,2,3,7,5]=>[4,1,2,7,6,3,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[6,4,1,2,5,3,7]=>[5,1,4,6,2,3,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,4,1,2,5,7,3]=>[7,1,4,6,2,5,3]=>([(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]
[6,4,1,2,7,3,5]=>[7,1,4,6,2,3,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,2,7,5,3]=>[5,1,4,7,6,2,3]=>([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,4,1,3,2,5,7]=>[3,4,1,6,2,5,7]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,4,1,3,2,7,5]=>[3,4,1,7,6,2,5]=>([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,3,5,2,7]=>[5,4,1,6,3,2,7]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,1,3,5,7,2]=>[7,4,1,6,3,5,2]=>([(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]
[6,4,1,3,7,2,5]=>[7,4,1,6,3,2,5]=>([(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]
[6,4,1,3,7,5,2]=>[5,4,1,7,6,3,2]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,5,2,3,7]=>[5,4,1,6,2,3,7]=>([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,1,5,2,7,3]=>[7,5,4,6,1,2,3]=>([(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]
[6,4,1,5,3,2,7]=>[3,5,4,6,1,2,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,4,1,5,3,7,2]=>[7,5,4,6,1,3,2]=>([(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]
[6,4,1,5,7,2,3]=>[7,4,1,6,2,5,3]=>([(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]
[6,4,1,5,7,3,2]=>[3,7,4,6,1,5,2]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,4,1,7,2,3,5]=>[7,4,1,6,2,3,5]=>([(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]
[6,4,1,7,2,5,3]=>[5,7,4,6,1,2,3]=>([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,7,3,2,5]=>[3,7,4,6,1,2,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,4,1,7,3,5,2]=>[5,7,4,6,1,3,2]=>([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,7,5,2,3]=>[5,4,1,7,6,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,1,7,5,3,2]=>[3,5,4,7,6,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[6,1]
[6,4,2,1,3,7,5]=>[2,4,1,7,6,3,5]=>([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,1,5,3,7]=>[2,5,4,6,1,3,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,4,2,1,5,7,3]=>[2,7,4,6,1,5,3]=>([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,4,2,1,7,3,5]=>[2,7,4,6,1,3,5]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,1,7,5,3]=>[2,5,4,7,6,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,4,2,3,1,5,7]=>[3,4,2,6,1,5,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,4,2,3,1,7,5]=>[3,4,2,7,6,1,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,3,5,1,7]=>[5,4,2,6,3,1,7]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,2,3,5,7,1]=>[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]
[6,4,2,3,7,1,5]=>[7,4,2,6,3,1,5]=>([(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]
[6,4,2,3,7,5,1]=>[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]
[6,4,2,5,1,3,7]=>[5,4,2,6,1,3,7]=>([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,2,5,1,7,3]=>[7,5,4,6,2,1,3]=>([(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]
[6,4,2,5,3,1,7]=>[3,5,4,6,2,1,7]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,2,5,3,7,1]=>[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]
[6,4,2,5,7,1,3]=>[7,4,2,6,1,5,3]=>([(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]
[6,4,2,5,7,3,1]=>[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]
[6,4,2,7,1,3,5]=>[7,4,2,6,1,3,5]=>([(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]
[6,4,2,7,1,5,3]=>[5,7,4,6,2,1,3]=>([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,7,3,1,5]=>[3,7,4,6,2,1,5]=>([(0,4),(0,5),(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]=>[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]
[6,4,2,7,5,1,3]=>[5,4,2,7,6,1,3]=>([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,2,7,5,3,1]=>[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]
[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[6,1]
[6,4,3,1,2,7,5]=>[3,1,4,7,6,2,5]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,1,5,2,7]=>[5,3,4,6,1,2,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,4,3,1,5,7,2]=>[7,3,4,6,1,5,2]=>([(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]
[6,4,3,1,7,2,5]=>[7,3,4,6,1,2,5]=>([(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]
[6,4,3,1,7,5,2]=>[5,3,4,7,6,1,2]=>([(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)],7)=>[7]
[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[6,1]
[6,4,3,2,1,7,5]=>[2,3,4,7,6,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,3,2,5,7,1]=>[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]
[6,4,3,2,7,1,5]=>[7,3,4,6,2,1,5]=>([(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]
[6,4,3,2,7,5,1]=>[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]
[6,4,3,5,1,2,7]=>[5,1,4,6,3,2,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,3,5,1,7,2]=>[7,5,4,6,3,1,2]=>([(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),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,5,2,1,7]=>[2,5,4,6,3,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,3,5,2,7,1]=>[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]
[6,4,3,5,7,1,2]=>[7,1,4,6,3,5,2]=>([(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]
[6,4,3,5,7,2,1]=>[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]
[6,4,3,7,1,2,5]=>[7,1,4,6,3,2,5]=>([(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]
[6,4,3,7,1,5,2]=>[5,7,4,6,3,1,2]=>([(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]
[6,4,3,7,2,1,5]=>[2,7,4,6,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(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]=>[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]
[6,4,3,7,5,1,2]=>[5,1,4,7,6,3,2]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,3,7,5,2,1]=>[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]
[6,4,5,1,2,3,7]=>[5,1,2,6,4,3,7]=>([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,5,1,2,7,3]=>[7,1,5,6,4,2,3]=>([(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]
[6,4,5,1,3,2,7]=>[3,5,1,6,4,2,7]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,5,1,3,7,2]=>[7,5,1,6,4,3,2]=>([(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]
[6,4,5,1,7,2,3]=>[7,5,1,6,4,2,3]=>([(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]
[6,4,5,1,7,3,2]=>[3,7,5,6,4,1,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,4,5,2,1,3,7]=>[2,5,1,6,4,3,7]=>([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,5,2,1,7,3]=>[2,7,5,6,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,2,3,1,7]=>[3,5,2,6,4,1,7]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,4,5,2,3,7,1]=>[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]
[6,4,5,2,7,1,3]=>[7,5,2,6,4,1,3]=>([(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]
[6,4,5,2,7,3,1]=>[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]
[6,4,5,3,1,2,7]=>[3,1,5,6,4,2,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,4,5,3,1,7,2]=>[7,3,5,6,4,1,2]=>([(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]
[6,4,5,3,2,1,7]=>[2,3,5,6,4,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,4,5,3,2,7,1]=>[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]
[6,4,5,3,7,1,2]=>[7,1,5,6,4,3,2]=>([(0,6),(1,3),(1,4),(1,5),(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]=>[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]
[6,4,5,7,1,2,3]=>[7,1,2,6,4,5,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,7,1,3,2]=>[3,7,1,6,4,5,2]=>([(0,1),(0,6),(1,5),(2,4),(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]=>[2,7,1,6,4,5,3]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,7,2,3,1]=>[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]
[6,4,5,7,3,1,2]=>[3,1,7,6,4,5,2]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,5,7,3,2,1]=>[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]
[6,4,7,1,2,3,5]=>[7,1,2,6,4,3,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,1,2,5,3]=>[5,1,7,6,4,2,3]=>([(0,5),(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]
[6,4,7,1,3,2,5]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(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]=>[5,7,1,6,4,3,2]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,1,5,2,3]=>[5,7,1,6,4,2,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,4,7,1,5,3,2]=>[3,5,7,6,4,1,2]=>([(0,5),(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)],7)=>[7]
[6,4,7,2,1,3,5]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,2,1,5,3]=>[2,5,7,6,4,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,4,7,2,3,1,5]=>[3,7,2,6,4,1,5]=>([(0,4),(0,5),(1,2),(1,6),(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]=>[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]
[6,4,7,2,5,1,3]=>[5,7,2,6,4,1,3]=>([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,2,5,3,1]=>[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]
[6,4,7,3,1,2,5]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,3,1,5,2]=>[5,3,7,6,4,1,2]=>([(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)],7)=>[7]
[6,4,7,3,2,1,5]=>[2,3,7,6,4,1,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,3,2,5,1]=>[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]
[6,4,7,3,5,1,2]=>[5,1,7,6,4,3,2]=>([(0,3),(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]
[6,4,7,3,5,2,1]=>[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]
[6,4,7,5,1,2,3]=>[5,1,2,7,6,4,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,5,1,3,2]=>[3,5,1,7,6,4,2]=>([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,5,2,1,3]=>[2,5,1,7,6,4,3]=>([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,5,2,3,1]=>[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]
[6,4,7,5,3,1,2]=>[3,1,5,7,6,4,2]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,4,7,5,3,2,1]=>[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]
[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[6,1]
[6,5,1,2,3,7,4]=>[7,1,2,5,6,3,4]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,1,2,4,3,7]=>[4,1,5,2,6,3,7]=>([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,5,1,2,4,7,3]=>[7,1,5,2,6,4,3]=>([(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]
[6,5,1,2,7,3,4]=>[7,1,5,2,6,3,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,2,7,4,3]=>[4,1,7,5,6,2,3]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,5,1,3,2,4,7]=>[3,5,1,2,6,4,7]=>([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,5,1,3,2,7,4]=>[3,7,1,5,6,2,4]=>([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,3,4,2,7]=>[4,5,1,3,6,2,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,5,1,3,4,7,2]=>[7,5,1,3,6,4,2]=>([(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]
[6,5,1,3,7,2,4]=>[7,5,1,3,6,2,4]=>([(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]
[6,5,1,3,7,4,2]=>[4,7,1,5,6,3,2]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,4,2,3,7]=>[4,5,1,2,6,3,7]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,5,1,4,2,7,3]=>[7,4,5,1,6,2,3]=>([(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]
[6,5,1,4,3,2,7]=>[3,4,5,1,6,2,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,5,1,4,3,7,2]=>[7,4,5,1,6,3,2]=>([(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]
[6,5,1,4,7,2,3]=>[7,5,1,2,6,4,3]=>([(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]
[6,5,1,4,7,3,2]=>[3,7,5,1,6,4,2]=>([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,7,2,3,4]=>[7,5,1,2,6,3,4]=>([(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]
[6,5,1,7,2,4,3]=>[4,7,5,1,6,2,3]=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,7,3,2,4]=>[3,7,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,7,3,4,2]=>[4,7,5,1,6,3,2]=>([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,1,7,4,2,3]=>[4,7,1,5,6,2,3]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,5,1,7,4,3,2]=>[3,4,7,5,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7]=>([(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[6,1]
[6,5,2,1,3,7,4]=>[2,7,1,5,6,3,4]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,2,1,4,3,7]=>[2,4,5,1,6,3,7]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,5,2,1,4,7,3]=>[2,7,5,1,6,4,3]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,1,7,3,4]=>[2,7,5,1,6,3,4]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,1,7,4,3]=>[2,4,7,5,6,1,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,5,2,3,1,4,7]=>[3,5,2,1,6,4,7]=>([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,5,2,3,1,7,4]=>[3,7,2,5,6,1,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,3,4,1,7]=>[4,5,2,3,6,1,7]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,5,2,3,4,7,1]=>[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]
[6,5,2,3,7,1,4]=>[7,5,2,3,6,1,4]=>([(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]
[6,5,2,3,7,4,1]=>[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]
[6,5,2,4,1,3,7]=>[4,5,2,1,6,3,7]=>([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,5,2,4,1,7,3]=>[7,4,5,2,6,1,3]=>([(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]
[6,5,2,4,3,1,7]=>[3,4,5,2,6,1,7]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,5,2,4,3,7,1]=>[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]
[6,5,2,4,7,1,3]=>[7,5,2,1,6,4,3]=>([(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]
[6,5,2,4,7,3,1]=>[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]
[6,5,2,7,1,3,4]=>[7,5,2,1,6,3,4]=>([(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]
[6,5,2,7,1,4,3]=>[4,7,5,2,6,1,3]=>([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,5,2,7,3,1,4]=>[3,7,5,2,6,1,4]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,2,7,3,4,1]=>[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]
[6,5,2,7,4,1,3]=>[4,7,2,5,6,1,3]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,5,2,7,4,3,1]=>[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]
[6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7]=>([(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>[6,1]
[6,5,3,1,2,7,4]=>[3,1,7,5,6,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,1,4,2,7]=>[4,3,5,1,6,2,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[6,1]
[6,5,3,1,4,7,2]=>[7,3,5,1,6,4,2]=>([(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]
[6,5,3,1,7,2,4]=>[7,3,5,1,6,2,4]=>([(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]
[6,5,3,1,7,4,2]=>[4,3,7,5,6,1,2]=>([(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)],7)=>[7]
[6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[6,1]
[6,5,3,2,1,7,4]=>[2,3,7,5,6,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,2,4,1,7]=>[4,3,5,2,6,1,7]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,5,3,2,4,7,1]=>[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]
[6,5,3,2,7,1,4]=>[7,3,5,2,6,1,4]=>([(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]
[6,5,3,2,7,4,1]=>[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]
[6,5,3,4,1,2,7]=>[4,1,5,3,6,2,7]=>([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,5,3,4,1,7,2]=>[7,4,5,3,6,1,2]=>([(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]
[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,5,3,4,2,7,1]=>[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]
[6,5,3,4,7,1,2]=>[7,1,5,3,6,4,2]=>([(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]
[6,5,3,4,7,2,1]=>[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]
[6,5,3,7,1,2,4]=>[7,1,5,3,6,2,4]=>([(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]
[6,5,3,7,1,4,2]=>[4,7,5,3,6,1,2]=>([(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)],7)=>[7]
[6,5,3,7,2,1,4]=>[2,7,5,3,6,1,4]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,7,2,4,1]=>[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]
[6,5,3,7,4,1,2]=>[4,1,7,5,6,3,2]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,3,7,4,2,1]=>[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]
[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[6,1]
[6,5,4,1,2,7,3]=>[7,1,4,5,6,2,3]=>([(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]
[6,5,4,1,3,2,7]=>[3,4,1,5,6,2,7]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[6,1]
[6,5,4,1,3,7,2]=>[7,4,1,5,6,3,2]=>([(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]
[6,5,4,1,7,2,3]=>[7,4,1,5,6,2,3]=>([(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]
[6,5,4,1,7,3,2]=>[3,7,4,5,6,1,2]=>([(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)],7)=>[7]
[6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[6,1]
[6,5,4,2,1,7,3]=>[2,7,4,5,6,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,5,4,2,3,1,7]=>[3,4,2,5,6,1,7]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[6,1]
[6,5,4,2,3,7,1]=>[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]
[6,5,4,2,7,1,3]=>[7,4,2,5,6,1,3]=>([(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]
[6,5,4,2,7,3,1]=>[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]
[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[6,1]
[6,5,4,3,1,7,2]=>[7,3,4,5,6,1,2]=>([(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]
[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[6,1]
[6,5,4,3,2,7,1]=>[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]
[6,5,4,3,7,1,2]=>[7,1,4,5,6,3,2]=>([(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]
[6,5,4,3,7,2,1]=>[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]
[6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,7,1,3,2]=>[3,7,1,5,6,4,2]=>([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,7,2,1,3]=>[2,7,1,5,6,4,3]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,7,2,3,1]=>[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]
[6,5,4,7,3,1,2]=>[3,1,7,5,6,4,2]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,4,7,3,2,1]=>[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]
[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,1,2,4,3]=>[4,1,7,2,6,5,3]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,5,7,1,3,2,4]=>[3,7,1,2,6,5,4]=>([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,1,3,4,2]=>[4,7,1,3,6,5,2]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,5,7,1,4,2,3]=>[4,7,1,2,6,5,3]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,5,7,1,4,3,2]=>[3,4,7,1,6,5,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,5,7,2,1,3,4]=>[2,7,1,3,6,5,4]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,2,1,4,3]=>[2,4,7,1,6,5,3]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,5,7,2,3,1,4]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,2,3,4,1]=>[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]
[6,5,7,2,4,1,3]=>[4,7,2,1,6,5,3]=>([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,2,4,3,1]=>[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]
[6,5,7,3,1,2,4]=>[3,1,7,2,6,5,4]=>([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,3,1,4,2]=>[4,3,7,1,6,5,2]=>([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,3,2,1,4]=>[2,3,7,1,6,5,4]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,7,3,2,4,1]=>[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]
[6,5,7,3,4,1,2]=>[4,1,7,3,6,5,2]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,7,3,4,2,1]=>[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]
[6,5,7,4,1,2,3]=>[4,1,2,7,6,5,3]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,5,7,4,1,3,2]=>[3,4,1,7,6,5,2]=>([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,4,2,1,3]=>[2,4,1,7,6,5,3]=>([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,4,2,3,1]=>[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]
[6,5,7,4,3,1,2]=>[3,1,4,7,6,5,2]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,5,7,4,3,2,1]=>[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]
[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,2,3,5,4]=>[5,1,2,7,3,6,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>[7]
[6,7,1,2,4,3,5]=>[4,1,7,2,3,6,5]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,1,2,4,5,3]=>[5,1,7,2,4,6,3]=>([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,1,2,5,3,4]=>[5,1,7,2,3,6,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>[7]
[6,7,1,2,5,4,3]=>[4,1,5,7,2,6,3]=>([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,1,3,2,4,5]=>[3,7,1,2,4,6,5]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,1,3,2,5,4]=>[3,5,1,7,2,6,4]=>([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,1,3,4,2,5]=>[4,7,1,3,2,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,3,4,5,2]=>[5,7,1,3,4,6,2]=>([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,1,3,5,2,4]=>[5,7,1,3,2,6,4]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,1,3,5,4,2]=>[4,5,1,7,3,6,2]=>([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,4,2,3,5]=>[4,7,1,2,3,6,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,1,4,2,5,3]=>[5,4,7,1,2,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[6,7,1,4,3,2,5]=>[3,4,7,1,2,6,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,1,4,3,5,2]=>[5,4,7,1,3,6,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,1,4,5,2,3]=>[5,7,1,2,4,6,3]=>([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,7,1,4,5,3,2]=>[3,5,7,1,4,6,2]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,7,1,5,2,3,4]=>[5,7,1,2,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,1,5,2,4,3]=>[4,5,7,1,2,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)=>[7]
[6,7,1,5,3,2,4]=>[3,5,7,1,2,6,4]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,1,5,3,4,2]=>[4,5,7,1,3,6,2]=>([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,1,5,4,2,3]=>[4,5,1,7,2,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,1,5,4,3,2]=>[3,4,5,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,2,1,3,4,5]=>[2,7,1,3,4,6,5]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,1,3,5,4]=>[2,5,1,7,3,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,2,1,4,3,5]=>[2,4,7,1,3,6,5]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[6,7,2,1,4,5,3]=>[2,5,7,1,4,6,3]=>([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,2,1,5,3,4]=>[2,5,7,1,3,6,4]=>([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,2,1,5,4,3]=>[2,4,5,7,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>[7]
[6,7,2,3,1,4,5]=>[3,7,2,1,4,6,5]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,3,1,5,4]=>[3,5,2,7,1,6,4]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>[7]
[6,7,2,3,4,1,5]=>[4,7,2,3,1,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,3,4,5,1]=>[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]
[6,7,2,3,5,1,4]=>[5,7,2,3,1,6,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[6,7,2,3,5,4,1]=>[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]
[6,7,2,4,1,3,5]=>[4,7,2,1,3,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,4,1,5,3]=>[5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[6,7,2,4,3,1,5]=>[3,4,7,2,1,6,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,4,3,5,1]=>[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]
[6,7,2,4,5,1,3]=>[5,7,2,1,4,6,3]=>([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,7,2,4,5,3,1]=>[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]
[6,7,2,5,1,3,4]=>[5,7,2,1,3,6,4]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,2,5,1,4,3]=>[4,5,7,2,1,6,3]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[6,7,2,5,3,1,4]=>[3,5,7,2,1,6,4]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,2,5,3,4,1]=>[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]
[6,7,2,5,4,1,3]=>[4,5,2,7,1,6,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,2,5,4,3,1]=>[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]
[6,7,3,1,2,4,5]=>[3,1,7,2,4,6,5]=>([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,3,1,2,5,4]=>[3,1,5,7,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,3,1,4,2,5]=>[4,3,7,1,2,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,3,1,4,5,2]=>[5,3,7,1,4,6,2]=>([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,3,1,5,2,4]=>[5,3,7,1,2,6,4]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,3,1,5,4,2]=>[4,3,5,7,1,6,2]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,3,2,1,4,5]=>[2,3,7,1,4,6,5]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,3,2,1,5,4]=>[2,3,5,7,1,6,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)=>[7]
[6,7,3,2,4,1,5]=>[4,3,7,2,1,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,2,4,5,1]=>[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]
[6,7,3,2,5,1,4]=>[5,3,7,2,1,6,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,3,2,5,4,1]=>[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]
[6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,3,4,1,5,2]=>[5,4,7,3,1,6,2]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,4,2,1,5]=>[2,4,7,3,1,6,5]=>([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,4,2,5,1]=>[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]
[6,7,3,4,5,1,2]=>[5,1,7,3,4,6,2]=>([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,3,4,5,2,1]=>[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]
[6,7,3,5,1,2,4]=>[5,1,7,3,2,6,4]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,3,5,1,4,2]=>[4,5,7,3,1,6,2]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,5,2,1,4]=>[2,5,7,3,1,6,4]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,7,3,5,2,4,1]=>[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]
[6,7,3,5,4,1,2]=>[4,1,5,7,3,6,2]=>([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,3,5,4,2,1]=>[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]
[6,7,4,1,2,3,5]=>[4,1,2,7,3,6,5]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>[7]
[6,7,4,1,2,5,3]=>[5,1,4,7,2,6,3]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[6,7,4,1,3,2,5]=>[3,4,1,7,2,6,5]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,4,1,3,5,2]=>[5,4,1,7,3,6,2]=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,1,5,2,3]=>[5,4,1,7,2,6,3]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,1,5,3,2]=>[3,5,4,7,1,6,2]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,4,2,1,3,5]=>[2,4,1,7,3,6,5]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)=>[7]
[6,7,4,2,1,5,3]=>[2,5,4,7,1,6,3]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,4,2,3,1,5]=>[3,4,2,7,1,6,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,4,2,3,5,1]=>[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]
[6,7,4,2,5,1,3]=>[5,4,2,7,1,6,3]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,4,2,5,3,1]=>[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]
[6,7,4,3,1,2,5]=>[3,1,4,7,2,6,5]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,4,3,1,5,2]=>[5,3,4,7,1,6,2]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[6,7,4,3,2,1,5]=>[2,3,4,7,1,6,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[6,7,4,3,2,5,1]=>[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]
[6,7,4,3,5,1,2]=>[5,1,4,7,3,6,2]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,3,5,2,1]=>[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]
[6,7,4,5,1,2,3]=>[5,1,2,7,4,6,3]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,4,5,1,3,2]=>[3,5,1,7,4,6,2]=>([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,5,2,1,3]=>[2,5,1,7,4,6,3]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,4,5,2,3,1]=>[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]
[6,7,4,5,3,1,2]=>[3,1,5,7,4,6,2]=>([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,4,5,3,2,1]=>[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]
[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>[7]
[6,7,5,1,2,4,3]=>[4,1,5,2,7,6,3]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[6,7,5,1,3,2,4]=>[3,5,1,2,7,6,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,5,1,3,4,2]=>[4,5,1,3,7,6,2]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,1,4,2,3]=>[4,5,1,2,7,6,3]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,5,1,4,3,2]=>[3,4,5,1,7,6,2]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,5,2,1,3,4]=>[2,5,1,3,7,6,4]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,5,2,1,4,3]=>[2,4,5,1,7,6,3]=>([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,5,2,3,1,4]=>[3,5,2,1,7,6,4]=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[6,7,5,2,3,4,1]=>[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]
[6,7,5,2,4,1,3]=>[4,5,2,1,7,6,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[6,7,5,2,4,3,1]=>[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]
[6,7,5,3,1,2,4]=>[3,1,5,2,7,6,4]=>([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)=>[7]
[6,7,5,3,1,4,2]=>[4,3,5,1,7,6,2]=>([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,3,2,1,4]=>[2,3,5,1,7,6,4]=>([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)=>[7]
[6,7,5,3,2,4,1]=>[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]
[6,7,5,3,4,1,2]=>[4,1,5,3,7,6,2]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,3,4,2,1]=>[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]
[6,7,5,4,1,2,3]=>[4,1,2,5,7,6,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,5,4,1,3,2]=>[3,4,1,5,7,6,2]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[6,7,5,4,2,1,3]=>[2,4,1,5,7,6,3]=>([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[6,7,5,4,2,3,1]=>[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]
[6,7,5,4,3,1,2]=>[3,1,4,5,7,6,2]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,2,3,4,6,5]=>[6,1,2,3,7,4,5]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,3,5,4,6]=>[5,1,2,7,3,4,6]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,3,5,6,4]=>[6,1,2,7,3,5,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,3,6,4,5]=>[6,1,2,7,3,4,5]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,3,6,5,4]=>[5,1,2,6,7,3,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,1,2,4,3,5,6]=>[4,1,7,2,3,5,6]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,4,3,6,5]=>[4,1,6,2,7,3,5]=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,1,2,4,5,3,6]=>[5,1,7,2,4,3,6]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,4,5,6,3]=>[6,1,7,2,4,5,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,4,6,3,5]=>[6,1,7,2,4,3,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,4,6,5,3]=>[5,1,6,2,7,4,3]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,5,3,4,6]=>[5,1,7,2,3,4,6]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,5,3,6,4]=>[6,1,5,7,2,3,4]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,5,4,3,6]=>[4,1,5,7,2,3,6]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,5,4,6,3]=>[6,1,5,7,2,4,3]=>([(0,6),(1,2),(1,3),(1,4),(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]=>[6,1,7,2,3,5,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,5,6,4,3]=>[4,1,6,7,2,5,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,2,6,3,4,5]=>[6,1,7,2,3,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,2,6,3,5,4]=>[5,1,6,7,2,3,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,2,6,4,3,5]=>[4,1,6,7,2,3,5]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[7]
[7,1,2,6,4,5,3]=>[5,1,6,7,2,4,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,2,6,5,3,4]=>[5,1,6,2,7,3,4]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,1,2,6,5,4,3]=>[4,1,5,6,7,2,3]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,3,2,4,5,6]=>[3,7,1,2,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,3,2,4,6,5]=>[3,6,1,2,7,4,5]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,3,2,5,4,6]=>[3,5,1,7,2,4,6]=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,1,3,2,5,6,4]=>[3,6,1,7,2,5,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,3,2,6,4,5]=>[3,6,1,7,2,4,5]=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,1,3,2,6,5,4]=>[3,5,1,6,7,2,4]=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,1,3,4,2,5,6]=>[4,7,1,3,2,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,3,4,2,6,5]=>[4,6,1,3,7,2,5]=>([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,4,5,2,6]=>[5,7,1,3,4,2,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,3,4,5,6,2]=>[6,7,1,3,4,5,2]=>([(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)],7)=>[7]
[7,1,3,4,6,2,5]=>[6,7,1,3,4,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,3,4,6,5,2]=>[5,6,1,3,7,4,2]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,3,5,2,4,6]=>[5,7,1,3,2,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,3,5,2,6,4]=>[6,5,1,7,3,2,4]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,5,4,2,6]=>[4,5,1,7,3,2,6]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,5,4,6,2]=>[6,5,1,7,3,4,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[6,7,1,3,2,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,3,5,6,4,2]=>[4,6,1,7,3,5,2]=>([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,6,2,4,5]=>[6,7,1,3,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,3,6,2,5,4]=>[5,6,1,7,3,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,3,6,4,2,5]=>[4,6,1,7,3,2,5]=>([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,3,6,4,5,2]=>[5,6,1,7,3,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,3,6,5,2,4]=>[5,6,1,3,7,2,4]=>([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,3,6,5,4,2]=>[4,5,1,6,7,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,2,3,5,6]=>[4,7,1,2,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,4,2,3,6,5]=>[4,6,1,2,7,3,5]=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,1,4,2,5,3,6]=>[5,4,7,1,2,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[7,1,4,2,5,6,3]=>[6,4,7,1,2,5,3]=>([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,2,6,3,5]=>[6,4,7,1,2,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[7,1,4,2,6,5,3]=>[5,4,6,1,7,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,4,3,2,5,6]=>[3,4,7,1,2,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,1,4,3,2,6,5]=>[3,4,6,1,7,2,5]=>([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,1,4,3,5,2,6]=>[5,4,7,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[7,1,4,3,5,6,2]=>[6,4,7,1,3,5,2]=>([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,1,4,3,6,2,5]=>[6,4,7,1,3,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[7,1,4,3,6,5,2]=>[5,4,6,1,7,3,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,5,2,3,6]=>[5,7,1,2,4,3,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,4,5,2,6,3]=>[6,5,7,1,4,2,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,4,5,3,2,6]=>[3,5,7,1,4,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,4,5,3,6,2]=>[6,5,7,1,4,3,2]=>([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[6,7,1,2,4,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,4,5,6,3,2]=>[3,6,7,1,4,5,2]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,1,4,6,2,3,5]=>[6,7,1,2,4,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,4,6,2,5,3]=>[5,6,7,1,4,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,4,6,3,2,5]=>[3,6,7,1,4,2,5]=>([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,4,6,3,5,2]=>[5,6,7,1,4,3,2]=>([(0,1),(0,2),(0,3),(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]
[7,1,4,6,5,2,3]=>[5,6,1,2,7,4,3]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,4,6,5,3,2]=>[3,5,6,1,7,4,2]=>([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[7,1,5,2,3,4,6]=>[5,7,1,2,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,5,2,3,6,4]=>[6,5,1,7,2,3,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,2,4,3,6]=>[4,5,7,1,2,3,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,5,2,4,6,3]=>[6,5,7,1,2,4,3]=>([(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),(5,6)],7)=>[7]
[7,1,5,2,6,3,4]=>[6,5,7,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[7,1,5,2,6,4,3]=>[4,6,5,7,1,2,3]=>([(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)],7)=>[7]
[7,1,5,3,2,4,6]=>[3,5,7,1,2,4,6]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,1,5,3,2,6,4]=>[3,6,5,7,1,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,5,3,4,2,6]=>[4,5,7,1,3,2,6]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,3,4,6,2]=>[6,5,7,1,3,4,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,3,6,2,4]=>[6,5,7,1,3,2,4]=>([(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),(5,6)],7)=>[7]
[7,1,5,3,6,4,2]=>[4,6,5,7,1,3,2]=>([(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),(5,6)],7)=>[7]
[7,1,5,4,2,3,6]=>[4,5,1,7,2,3,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[7]
[7,1,5,4,2,6,3]=>[6,4,5,7,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,5,4,3,2,6]=>[3,4,5,7,1,2,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,5,4,3,6,2]=>[6,4,5,7,1,3,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,4,6,2,3]=>[6,5,1,7,2,4,3]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,4,6,3,2]=>[3,6,5,7,1,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[7,1,5,6,2,3,4]=>[6,7,1,2,3,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,5,6,2,4,3]=>[4,6,7,1,2,5,3]=>([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,5,6,3,2,4]=>[3,6,7,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,5,6,3,4,2]=>[4,6,7,1,3,5,2]=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,5,6,4,2,3]=>[4,6,1,7,2,5,3]=>([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,1,5,6,4,3,2]=>[3,4,6,7,1,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,2,3,4,5]=>[6,7,1,2,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,2,3,5,4]=>[5,6,1,7,2,3,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,2,4,3,5]=>[4,6,7,1,2,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,2,4,5,3]=>[5,6,7,1,2,4,3]=>([(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)],7)=>[7]
[7,1,6,2,5,3,4]=>[5,6,7,1,2,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[7]
[7,1,6,2,5,4,3]=>[4,5,6,7,1,2,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[7]
[7,1,6,3,2,4,5]=>[3,6,7,1,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,3,2,5,4]=>[3,5,6,7,1,2,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,3,4,2,5]=>[4,6,7,1,3,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,3,4,5,2]=>[5,6,7,1,3,4,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,1,6,3,5,2,4]=>[5,6,7,1,3,2,4]=>([(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)],7)=>[7]
[7,1,6,3,5,4,2]=>[4,5,6,7,1,3,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[7,1,6,4,2,3,5]=>[4,6,1,7,2,3,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[7]
[7,1,6,4,2,5,3]=>[5,4,6,7,1,2,3]=>([(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)],7)=>[7]
[7,1,6,4,3,2,5]=>[3,4,6,7,1,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,4,3,5,2]=>[5,4,6,7,1,3,2]=>([(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),(5,6)],7)=>[7]
[7,1,6,4,5,2,3]=>[5,6,1,7,2,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,4,5,3,2]=>[3,5,6,7,1,4,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[7,1,6,5,2,3,4]=>[5,6,1,2,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,5,2,4,3]=>[4,5,6,1,7,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,5,3,2,4]=>[3,5,6,1,7,2,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[7]
[7,1,6,5,3,4,2]=>[4,5,6,1,7,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,1,6,5,4,2,3]=>[4,5,1,6,7,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,1,6,5,4,3,2]=>[3,4,5,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[7]
[7,2,1,3,4,6,5]=>[2,6,1,3,7,4,5]=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,1,3,5,4,6]=>[2,5,1,7,3,4,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>[7]
[7,2,1,3,5,6,4]=>[2,6,1,7,3,5,4]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,1,3,6,4,5]=>[2,6,1,7,3,4,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[7]
[7,2,1,3,6,5,4]=>[2,5,1,6,7,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,1,4,3,5,6]=>[2,4,7,1,3,5,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,2,1,4,3,6,5]=>[2,4,6,1,7,3,5]=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,2,1,4,5,3,6]=>[2,5,7,1,4,3,6]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,1,4,5,6,3]=>[2,6,7,1,4,5,3]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,2,1,4,6,3,5]=>[2,6,7,1,4,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,1,4,6,5,3]=>[2,5,6,1,7,4,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[7,2,1,5,3,4,6]=>[2,5,7,1,3,4,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,1,5,3,6,4]=>[2,6,5,7,1,3,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,1,5,4,3,6]=>[2,4,5,7,1,3,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,1,5,4,6,3]=>[2,6,5,7,1,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[7,2,1,5,6,3,4]=>[2,6,7,1,3,5,4]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,1,5,6,4,3]=>[2,4,6,7,1,5,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,1,6,3,4,5]=>[2,6,7,1,3,4,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,1,6,3,5,4]=>[2,5,6,7,1,3,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,1,6,4,3,5]=>[2,4,6,7,1,3,5]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,2,1,6,4,5,3]=>[2,5,6,7,1,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[7,2,1,6,5,3,4]=>[2,5,6,1,7,3,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[7]
[7,2,1,6,5,4,3]=>[2,4,5,6,7,1,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,3,1,4,5,6]=>[3,7,2,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,1,4,6,5]=>[3,6,2,1,7,4,5]=>([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,1,5,4,6]=>[3,5,2,7,1,4,6]=>([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,3,1,5,6,4]=>[3,6,2,7,1,5,4]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,1,6,4,5]=>[3,6,2,7,1,4,5]=>([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,1,6,5,4]=>[3,5,2,6,7,1,4]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,4,1,5,6]=>[4,7,2,3,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,4,1,6,5]=>[4,6,2,3,7,1,5]=>([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,4,5,1,6]=>[5,7,2,3,4,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,2,3,4,5,6,1]=>[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]
[7,2,3,4,6,1,5]=>[6,7,2,3,4,1,5]=>([(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)],7)=>[7]
[7,2,3,4,6,5,1]=>[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]
[7,2,3,5,1,4,6]=>[5,7,2,3,1,4,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,3,5,1,6,4]=>[6,5,2,7,3,1,4]=>([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,5,4,1,6]=>[4,5,2,7,3,1,6]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,5,4,6,1]=>[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]
[7,2,3,5,6,1,4]=>[6,7,2,3,1,5,4]=>([(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)],7)=>[7]
[7,2,3,5,6,4,1]=>[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]
[7,2,3,6,1,4,5]=>[6,7,2,3,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,3,6,1,5,4]=>[5,6,2,7,3,1,4]=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,6,4,1,5]=>[4,6,2,7,3,1,5]=>([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,3,6,4,5,1]=>[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]
[7,2,3,6,5,1,4]=>[5,6,2,3,7,1,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,2,3,6,5,4,1]=>[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]
[7,2,4,1,3,5,6]=>[4,7,2,1,3,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,4,1,3,6,5]=>[4,6,2,1,7,3,5]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,4,1,5,3,6]=>[5,4,7,2,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[7,2,4,1,5,6,3]=>[6,4,7,2,1,5,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,2,4,1,6,3,5]=>[6,4,7,2,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[7,2,4,1,6,5,3]=>[5,4,6,2,7,1,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[7,2,4,3,1,5,6]=>[3,4,7,2,1,5,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,3,1,6,5]=>[3,4,6,2,7,1,5]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,3,5,1,6]=>[5,4,7,2,3,1,6]=>([(0,5),(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]
[7,2,4,3,5,6,1]=>[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]
[7,2,4,3,6,1,5]=>[6,4,7,2,3,1,5]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,2,4,3,6,5,1]=>[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]
[7,2,4,5,1,3,6]=>[5,7,2,1,4,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,4,5,1,6,3]=>[6,5,7,2,4,1,3]=>([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,5,3,1,6]=>[3,5,7,2,4,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,5,3,6,1]=>[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]
[7,2,4,5,6,1,3]=>[6,7,2,1,4,5,3]=>([(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)],7)=>[7]
[7,2,4,5,6,3,1]=>[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]
[7,2,4,6,1,3,5]=>[6,7,2,1,4,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,4,6,1,5,3]=>[5,6,7,2,4,1,3]=>([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,6,3,1,5]=>[3,6,7,2,4,1,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,4,6,3,5,1]=>[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]
[7,2,4,6,5,1,3]=>[5,6,2,1,7,4,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,4,6,5,3,1]=>[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]
[7,2,5,1,3,4,6]=>[5,7,2,1,3,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,5,1,3,6,4]=>[6,5,2,7,1,3,4]=>([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,1,4,3,6]=>[4,5,7,2,1,3,6]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,1,4,6,3]=>[6,5,7,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,1,6,3,4]=>[6,5,7,2,1,3,4]=>([(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),(5,6)],7)=>[7]
[7,2,5,1,6,4,3]=>[4,6,5,7,2,1,3]=>([(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),(5,6)],7)=>[7]
[7,2,5,3,1,4,6]=>[3,5,7,2,1,4,6]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,3,1,6,4]=>[3,6,5,7,2,1,4]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,3,4,1,6]=>[4,5,7,2,3,1,6]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,3,4,6,1]=>[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]
[7,2,5,3,6,1,4]=>[6,5,7,2,3,1,4]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,3,6,4,1]=>[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]
[7,2,5,4,1,3,6]=>[4,5,2,7,1,3,6]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,5,4,1,6,3]=>[6,4,5,7,2,1,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,4,3,1,6]=>[3,4,5,7,2,1,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,4,3,6,1]=>[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]
[7,2,5,4,6,1,3]=>[6,5,2,7,1,4,3]=>([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,4,6,3,1]=>[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]
[7,2,5,6,1,3,4]=>[6,7,2,1,3,5,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,5,6,1,4,3]=>[4,6,7,2,1,5,3]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,2,5,6,3,1,4]=>[3,6,7,2,1,5,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,5,6,3,4,1]=>[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]
[7,2,5,6,4,1,3]=>[4,6,2,7,1,5,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,5,6,4,3,1]=>[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]
[7,2,6,1,3,4,5]=>[6,7,2,1,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,6,1,3,5,4]=>[5,6,2,7,1,3,4]=>([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,6,1,4,3,5]=>[4,6,7,2,1,3,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,6,1,4,5,3]=>[5,6,7,2,1,4,3]=>([(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)],7)=>[7]
[7,2,6,1,5,3,4]=>[5,6,7,2,1,3,4]=>([(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)],7)=>[7]
[7,2,6,1,5,4,3]=>[4,5,6,7,2,1,3]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[7,2,6,3,1,4,5]=>[3,6,7,2,1,4,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,6,3,1,5,4]=>[3,5,6,7,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,3,4,1,5]=>[4,6,7,2,3,1,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,6,3,4,5,1]=>[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]
[7,2,6,3,5,1,4]=>[5,6,7,2,3,1,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,2,6,3,5,4,1]=>[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]
[7,2,6,4,1,3,5]=>[4,6,2,7,1,3,5]=>([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,2,6,4,1,5,3]=>[5,4,6,7,2,1,3]=>([(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),(5,6)],7)=>[7]
[7,2,6,4,3,1,5]=>[3,4,6,7,2,1,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,2,6,4,3,5,1]=>[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]
[7,2,6,4,5,1,3]=>[5,6,2,7,1,4,3]=>([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,2,6,4,5,3,1]=>[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]
[7,2,6,5,1,3,4]=>[5,6,2,1,7,3,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,6,5,1,4,3]=>[4,5,6,2,7,1,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[7,2,6,5,3,1,4]=>[3,5,6,2,7,1,4]=>([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[7,2,6,5,3,4,1]=>[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]
[7,2,6,5,4,1,3]=>[4,5,2,6,7,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,2,6,5,4,3,1]=>[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]
[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[7]
[7,3,1,2,4,6,5]=>[3,1,6,2,7,4,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,1,2,5,4,6]=>[3,1,5,7,2,4,6]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>[7]
[7,3,1,2,5,6,4]=>[3,1,6,7,2,5,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,3,1,2,6,4,5]=>[3,1,6,7,2,4,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,1,2,6,5,4]=>[3,1,5,6,7,2,4]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[7]
[7,3,1,4,2,5,6]=>[4,3,7,1,2,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,3,1,4,2,6,5]=>[4,3,6,1,7,2,5]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,1,4,5,2,6]=>[5,3,7,1,4,2,6]=>([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,3,1,4,5,6,2]=>[6,3,7,1,4,5,2]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,3,1,4,6,2,5]=>[6,3,7,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,1,4,6,5,2]=>[5,3,6,1,7,4,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,5,2,4,6]=>[5,3,7,1,2,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,1,5,2,6,4]=>[6,3,5,7,1,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,5,4,2,6]=>[4,3,5,7,1,2,6]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,1,5,4,6,2]=>[6,3,5,7,1,4,2]=>([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,3,1,5,6,2,4]=>[6,3,7,1,2,5,4]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,1,5,6,4,2]=>[4,3,6,7,1,5,2]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,1,6,2,4,5]=>[6,3,7,1,2,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,1,6,2,5,4]=>[5,3,6,7,1,2,4]=>([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,1,6,4,2,5]=>[4,3,6,7,1,2,5]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,1,6,4,5,2]=>[5,3,6,7,1,4,2]=>([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,1,6,5,2,4]=>[5,3,6,1,7,2,4]=>([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,3,1,6,5,4,2]=>[4,3,5,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[7]
[7,3,2,1,4,6,5]=>[2,3,6,1,7,4,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>[7]
[7,3,2,1,5,4,6]=>[2,3,5,7,1,4,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,3,2,1,5,6,4]=>[2,3,6,7,1,5,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,3,2,1,6,4,5]=>[2,3,6,7,1,4,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,3,2,1,6,5,4]=>[2,3,5,6,7,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,2,4,1,5,6]=>[4,3,7,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,4,1,6,5]=>[4,3,6,2,7,1,5]=>([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,4,5,1,6]=>[5,3,7,2,4,1,6]=>([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,2,4,5,6,1]=>[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]
[7,3,2,4,6,1,5]=>[6,3,7,2,4,1,5]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,3,2,4,6,5,1]=>[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]
[7,3,2,5,1,4,6]=>[5,3,7,2,1,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,2,5,1,6,4]=>[6,3,5,7,2,1,4]=>([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,5,4,1,6]=>[4,3,5,7,2,1,6]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,5,4,6,1]=>[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]
[7,3,2,5,6,1,4]=>[6,3,7,2,1,5,4]=>([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,5,6,4,1]=>[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]
[7,3,2,6,1,4,5]=>[6,3,7,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,2,6,1,5,4]=>[5,3,6,7,2,1,4]=>([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,6,4,1,5]=>[4,3,6,7,2,1,5]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,6,4,5,1]=>[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]
[7,3,2,6,5,1,4]=>[5,3,6,2,7,1,4]=>([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,2,6,5,4,1]=>[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]
[7,3,4,1,2,5,6]=>[4,1,7,3,2,5,6]=>([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,1,2,6,5]=>[4,1,6,3,7,2,5]=>([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,4,1,5,2,6]=>[5,4,7,3,1,2,6]=>([(0,5),(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]
[7,3,4,1,5,6,2]=>[6,4,7,3,1,5,2]=>([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,1,6,2,5]=>[6,4,7,3,1,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,3,4,1,6,5,2]=>[5,4,6,3,7,1,2]=>([(0,5),(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)],7)=>[7]
[7,3,4,2,1,5,6]=>[2,4,7,3,1,5,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,2,1,6,5]=>[2,4,6,3,7,1,5]=>([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,2,5,1,6]=>[5,4,7,3,2,1,6]=>([(0,3),(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]
[7,3,4,2,5,6,1]=>[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]
[7,3,4,2,6,1,5]=>[6,4,7,3,2,1,5]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,2,6,5,1]=>[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]
[7,3,4,5,1,2,6]=>[5,1,7,3,4,2,6]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,4,5,1,6,2]=>[6,5,7,3,4,1,2]=>([(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),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,4,5,2,1,6]=>[2,5,7,3,4,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,5,2,6,1]=>[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]
[7,3,4,5,6,1,2]=>[6,1,7,3,4,5,2]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,3,4,5,6,2,1]=>[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]
[7,3,4,6,1,2,5]=>[6,1,7,3,4,2,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,4,6,1,5,2]=>[5,6,7,3,4,1,2]=>([(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)],7)=>[7]
[7,3,4,6,2,1,5]=>[2,6,7,3,4,1,5]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,4,6,2,5,1]=>[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]
[7,3,4,6,5,1,2]=>[5,1,6,3,7,4,2]=>([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,4,6,5,2,1]=>[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]
[7,3,5,1,2,4,6]=>[5,1,7,3,2,4,6]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,5,1,2,6,4]=>[6,1,5,7,3,2,4]=>([(0,6),(1,2),(1,3),(1,4),(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]=>[4,5,7,3,1,2,6]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,1,4,6,2]=>[6,5,7,3,1,4,2]=>([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,1,6,2,4]=>[6,5,7,3,1,2,4]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,1,6,4,2]=>[4,6,5,7,3,1,2]=>([(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]
[7,3,5,2,1,4,6]=>[2,5,7,3,1,4,6]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,3,5,2,1,6,4]=>[2,6,5,7,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(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]=>[4,5,7,3,2,1,6]=>([(0,3),(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]
[7,3,5,2,4,6,1]=>[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]
[7,3,5,2,6,1,4]=>[6,5,7,3,2,1,4]=>([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[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]
[7,3,5,4,1,2,6]=>[4,1,5,7,3,2,6]=>([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,4,1,6,2]=>[6,4,5,7,3,1,2]=>([(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]
[7,3,5,4,2,1,6]=>[2,4,5,7,3,1,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,4,2,6,1]=>[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]
[7,3,5,4,6,1,2]=>[6,1,5,7,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,4,6,2,1]=>[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]
[7,3,5,6,1,2,4]=>[6,1,7,3,2,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,5,6,1,4,2]=>[4,6,7,3,1,5,2]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,6,2,1,4]=>[2,6,7,3,1,5,4]=>([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,5,6,2,4,1]=>[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]
[7,3,5,6,4,1,2]=>[4,1,6,7,3,5,2]=>([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,5,6,4,2,1]=>[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]
[7,3,6,1,2,4,5]=>[6,1,7,3,2,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,6,1,2,5,4]=>[5,1,6,7,3,2,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,1,4,2,5]=>[4,6,7,3,1,2,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,6,1,4,5,2]=>[5,6,7,3,1,4,2]=>([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,1,5,2,4]=>[5,6,7,3,1,2,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,6,1,5,4,2]=>[4,5,6,7,3,1,2]=>([(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]
[7,3,6,2,1,4,5]=>[2,6,7,3,1,4,5]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,6,2,1,5,4]=>[2,5,6,7,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,2,4,1,5]=>[4,6,7,3,2,1,5]=>([(0,2),(0,3),(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]
[7,3,6,2,4,5,1]=>[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]
[7,3,6,2,5,1,4]=>[5,6,7,3,2,1,4]=>([(0,1),(0,2),(0,3),(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]
[7,3,6,2,5,4,1]=>[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]
[7,3,6,4,1,2,5]=>[4,1,6,7,3,2,5]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,4,1,5,2]=>[5,4,6,7,3,1,2]=>([(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]
[7,3,6,4,2,1,5]=>[2,4,6,7,3,1,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,4,2,5,1]=>[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]
[7,3,6,4,5,1,2]=>[5,1,6,7,3,4,2]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,4,5,2,1]=>[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]
[7,3,6,5,1,2,4]=>[5,1,6,3,7,2,4]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,3,6,5,1,4,2]=>[4,5,6,3,7,1,2]=>([(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)],7)=>[7]
[7,3,6,5,2,1,4]=>[2,5,6,3,7,1,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,3,6,5,2,4,1]=>[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]
[7,3,6,5,4,1,2]=>[4,1,5,6,7,3,2]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,3,6,5,4,2,1]=>[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]
[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>[7]
[7,4,1,2,3,6,5]=>[4,1,2,6,7,3,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>[7]
[7,4,1,2,5,3,6]=>[5,1,4,7,2,3,6]=>([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,1,2,5,6,3]=>[6,1,4,7,2,5,3]=>([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,2,6,3,5]=>[6,1,4,7,2,3,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,1,2,6,5,3]=>[5,1,4,6,7,2,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,1,3,2,5,6]=>[3,4,1,7,2,5,6]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>[7]
[7,4,1,3,2,6,5]=>[3,4,1,6,7,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,1,3,5,2,6]=>[5,4,1,7,3,2,6]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,3,5,6,2]=>[6,4,1,7,3,5,2]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,3,6,2,5]=>[6,4,1,7,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,3,6,5,2]=>[5,4,1,6,7,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,5,2,3,6]=>[5,4,1,7,2,3,6]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[7,4,1,5,2,6,3]=>[6,5,4,7,1,2,3]=>([(0,1),(0,2),(0,3),(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]
[7,4,1,5,3,2,6]=>[3,5,4,7,1,2,6]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,1,5,3,6,2]=>[6,5,4,7,1,3,2]=>([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[6,4,1,7,2,5,3]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,5,6,3,2]=>[3,6,4,7,1,5,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,1,6,2,3,5]=>[6,4,1,7,2,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[7,4,1,6,2,5,3]=>[5,6,4,7,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,1,6,3,2,5]=>[3,6,4,7,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,1,6,3,5,2]=>[5,6,4,7,1,3,2]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,1,6,5,2,3]=>[5,4,1,6,7,2,3]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,1,6,5,3,2]=>[3,5,4,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)=>[7]
[7,4,2,1,3,6,5]=>[2,4,1,6,7,3,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,2,1,5,3,6]=>[2,5,4,7,1,3,6]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,2,1,5,6,3]=>[2,6,4,7,1,5,3]=>([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,4,2,1,6,3,5]=>[2,6,4,7,1,3,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,2,1,6,5,3]=>[2,5,4,6,7,1,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,2,3,1,5,6]=>[3,4,2,7,1,5,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,2,3,1,6,5]=>[3,4,2,6,7,1,5]=>([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,3,5,1,6]=>[5,4,2,7,3,1,6]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,3,5,6,1]=>[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]
[7,4,2,3,6,1,5]=>[6,4,2,7,3,1,5]=>([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,3,6,5,1]=>[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]
[7,4,2,5,1,3,6]=>[5,4,2,7,1,3,6]=>([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,5,1,6,3]=>[6,5,4,7,2,1,3]=>([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[3,5,4,7,2,1,6]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,5,3,6,1]=>[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]
[7,4,2,5,6,1,3]=>[6,4,2,7,1,5,3]=>([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,5,6,3,1]=>[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]
[7,4,2,6,1,3,5]=>[6,4,2,7,1,3,5]=>([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,6,1,5,3]=>[5,6,4,7,2,1,3]=>([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,2,6,3,1,5]=>[3,6,4,7,2,1,5]=>([(0,5),(0,6),(1,2),(1,4),(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]=>[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]
[7,4,2,6,5,1,3]=>[5,4,2,6,7,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,2,6,5,3,1]=>[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]
[7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[7]
[7,4,3,1,2,6,5]=>[3,1,4,6,7,2,5]=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,3,1,5,2,6]=>[5,3,4,7,1,2,6]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,4,3,1,5,6,2]=>[6,3,4,7,1,5,2]=>([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,4,3,1,6,2,5]=>[6,3,4,7,1,2,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,4,3,1,6,5,2]=>[5,3,4,6,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[7]
[7,4,3,2,1,6,5]=>[2,3,4,6,7,1,5]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,3,2,5,1,6]=>[5,3,4,7,2,1,6]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,2,5,6,1]=>[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]
[7,4,3,2,6,1,5]=>[6,3,4,7,2,1,5]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,2,6,5,1]=>[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]
[7,4,3,5,1,2,6]=>[5,1,4,7,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,5,1,6,2]=>[6,5,4,7,3,1,2]=>([(0,4),(0,5),(0,6),(1,2),(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]
[7,4,3,5,2,1,6]=>[2,5,4,7,3,1,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,5,2,6,1]=>[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]
[7,4,3,5,6,1,2]=>[6,1,4,7,3,5,2]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,5,6,2,1]=>[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]
[7,4,3,6,1,2,5]=>[6,1,4,7,3,2,5]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,6,1,5,2]=>[5,6,4,7,3,1,2]=>([(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]
[7,4,3,6,2,1,5]=>[2,6,4,7,3,1,5]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,3,6,2,5,1]=>[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]
[7,4,3,6,5,1,2]=>[5,1,4,6,7,3,2]=>([(0,4),(1,5),(1,6),(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]=>[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]
[7,4,5,1,2,3,6]=>[5,1,2,7,4,3,6]=>([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,1,2,6,3]=>[6,1,5,7,4,2,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,1,3,2,6]=>[3,5,1,7,4,2,6]=>([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,5,1,3,6,2]=>[6,5,1,7,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[6,5,1,7,4,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,1,6,3,2]=>[3,6,5,7,4,1,2]=>([(0,5),(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)],7)=>[7]
[7,4,5,2,1,3,6]=>[2,5,1,7,4,3,6]=>([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,5,2,1,6,3]=>[2,6,5,7,4,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,4,5,2,3,1,6]=>[3,5,2,7,4,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,5,2,3,6,1]=>[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]
[7,4,5,2,6,1,3]=>[6,5,2,7,4,1,3]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,2,6,3,1]=>[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]
[7,4,5,3,1,2,6]=>[3,1,5,7,4,2,6]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,3,1,6,2]=>[6,3,5,7,4,1,2]=>([(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)],7)=>[7]
[7,4,5,3,2,1,6]=>[2,3,5,7,4,1,6]=>([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,3,2,6,1]=>[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]
[7,4,5,3,6,1,2]=>[6,1,5,7,4,3,2]=>([(0,6),(1,3),(1,4),(1,5),(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]=>[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]
[7,4,5,6,1,2,3]=>[6,1,2,7,4,5,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,6,1,3,2]=>[3,6,1,7,4,5,2]=>([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,6,2,1,3]=>[2,6,1,7,4,5,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,5,6,2,3,1]=>[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]
[7,4,5,6,3,1,2]=>[3,1,6,7,4,5,2]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,5,6,3,2,1]=>[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]
[7,4,6,1,2,3,5]=>[6,1,2,7,4,3,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,6,1,2,5,3]=>[5,1,6,7,4,2,3]=>([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,1,3,2,5]=>[3,6,1,7,4,2,5]=>([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,1,3,5,2]=>[5,6,1,7,4,3,2]=>([(0,2),(0,3),(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]
[7,4,6,1,5,2,3]=>[5,6,1,7,4,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,6,1,5,3,2]=>[3,5,6,7,4,1,2]=>([(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)],7)=>[7]
[7,4,6,2,1,3,5]=>[2,6,1,7,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,4,6,2,1,5,3]=>[2,5,6,7,4,1,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,4,6,2,3,1,5]=>[3,6,2,7,4,1,5]=>([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,2,3,5,1]=>[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]
[7,4,6,2,5,1,3]=>[5,6,2,7,4,1,3]=>([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,2,5,3,1]=>[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]
[7,4,6,3,1,2,5]=>[3,1,6,7,4,2,5]=>([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,6,3,1,5,2]=>[5,3,6,7,4,1,2]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,6,3,2,1,5]=>[2,3,6,7,4,1,5]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,6,3,2,5,1]=>[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]
[7,4,6,3,5,1,2]=>[5,1,6,7,4,3,2]=>([(0,3),(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]
[7,4,6,3,5,2,1]=>[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]
[7,4,6,5,1,2,3]=>[5,1,2,6,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,5,1,3,2]=>[3,5,1,6,7,4,2]=>([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,5,2,1,3]=>[2,5,1,6,7,4,3]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,4,6,5,2,3,1]=>[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]
[7,4,6,5,3,1,2]=>[3,1,5,6,7,4,2]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,4,6,5,3,2,1]=>[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]
[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[7]
[7,5,1,2,3,6,4]=>[6,1,2,5,7,3,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,1,2,4,3,6]=>[4,1,5,2,7,3,6]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>[7]
[7,5,1,2,4,6,3]=>[6,1,5,2,7,4,3]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,2,6,3,4]=>[6,1,5,2,7,3,4]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,2,6,4,3]=>[4,1,6,5,7,2,3]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,1,3,2,4,6]=>[3,5,1,2,7,4,6]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,1,3,2,6,4]=>[3,6,1,5,7,2,4]=>([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,3,4,2,6]=>[4,5,1,3,7,2,6]=>([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,1,3,4,6,2]=>[6,5,1,3,7,4,2]=>([(0,4),(0,5),(1,3),(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]=>[6,5,1,3,7,2,4]=>([(0,5),(0,6),(1,2),(1,4),(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]=>[4,6,1,5,7,3,2]=>([(0,5),(0,6),(1,2),(1,4),(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]=>[4,5,1,2,7,3,6]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,1,4,2,6,3]=>[6,4,5,1,7,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,1,4,3,2,6]=>[3,4,5,1,7,2,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[7]
[7,5,1,4,3,6,2]=>[6,4,5,1,7,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(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]=>[6,5,1,2,7,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,4,6,3,2]=>[3,6,5,1,7,4,2]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,6,2,3,4]=>[6,5,1,2,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,6,2,4,3]=>[4,6,5,1,7,2,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,1,6,3,2,4]=>[3,6,5,1,7,2,4]=>([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,6,3,4,2]=>[4,6,5,1,7,3,2]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,1,6,4,2,3]=>[4,6,1,5,7,2,3]=>([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,1,6,4,3,2]=>[3,4,6,5,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)=>[7]
[7,5,2,1,3,6,4]=>[2,6,1,5,7,3,4]=>([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,2,1,4,3,6]=>[2,4,5,1,7,3,6]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>[7]
[7,5,2,1,4,6,3]=>[2,6,5,1,7,4,3]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,1,6,3,4]=>[2,6,5,1,7,3,4]=>([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,1,6,4,3]=>[2,4,6,5,7,1,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,2,3,1,4,6]=>[3,5,2,1,7,4,6]=>([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,3,1,6,4]=>[3,6,2,5,7,1,4]=>([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,3,4,1,6]=>[4,5,2,3,7,1,6]=>([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,2,3,4,6,1]=>[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]
[7,5,2,3,6,1,4]=>[6,5,2,3,7,1,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,3,6,4,1]=>[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]
[7,5,2,4,1,3,6]=>[4,5,2,1,7,3,6]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,5,2,4,1,6,3]=>[6,4,5,2,7,1,3]=>([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,5,2,4,3,1,6]=>[3,4,5,2,7,1,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,2,4,3,6,1]=>[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]
[7,5,2,4,6,1,3]=>[6,5,2,1,7,4,3]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,4,6,3,1]=>[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]
[7,5,2,6,1,3,4]=>[6,5,2,1,7,3,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,6,1,4,3]=>[4,6,5,2,7,1,3]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[7,5,2,6,3,1,4]=>[3,6,5,2,7,1,4]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,2,6,3,4,1]=>[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]
[7,5,2,6,4,1,3]=>[4,6,2,5,7,1,3]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,2,6,4,3,1]=>[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]
[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>[7]
[7,5,3,1,2,6,4]=>[3,1,6,5,7,2,4]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,3,1,4,2,6]=>[4,3,5,1,7,2,6]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,3,1,4,6,2]=>[6,3,5,1,7,4,2]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,1,6,2,4]=>[6,3,5,1,7,2,4]=>([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,1,6,4,2]=>[4,3,6,5,7,1,2]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)=>[7]
[7,5,3,2,1,6,4]=>[2,3,6,5,7,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,3,2,4,1,6]=>[4,3,5,2,7,1,6]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,2,4,6,1]=>[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]
[7,5,3,2,6,1,4]=>[6,3,5,2,7,1,4]=>([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,2,6,4,1]=>[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]
[7,5,3,4,1,2,6]=>[4,1,5,3,7,2,6]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,4,1,6,2]=>[6,4,5,3,7,1,2]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,3,4,2,1,6]=>[2,4,5,3,7,1,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,3,4,2,6,1]=>[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]
[7,5,3,4,6,1,2]=>[6,1,5,3,7,4,2]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,4,6,2,1]=>[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]
[7,5,3,6,1,2,4]=>[6,1,5,3,7,2,4]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,6,1,4,2]=>[4,6,5,3,7,1,2]=>([(0,5),(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)],7)=>[7]
[7,5,3,6,2,1,4]=>[2,6,5,3,7,1,4]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,6,2,4,1]=>[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]
[7,5,3,6,4,1,2]=>[4,1,6,5,7,3,2]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,3,6,4,2,1]=>[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]
[7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[7]
[7,5,4,1,2,6,3]=>[6,1,4,5,7,2,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,4,1,3,2,6]=>[3,4,1,5,7,2,6]=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,4,1,3,6,2]=>[6,4,1,5,7,3,2]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,1,6,2,3]=>[6,4,1,5,7,2,3]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,4,1,6,3,2]=>[3,6,4,5,7,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)=>[7]
[7,5,4,2,1,6,3]=>[2,6,4,5,7,1,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,5,4,2,3,1,6]=>[3,4,2,5,7,1,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,4,2,3,6,1]=>[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]
[7,5,4,2,6,1,3]=>[6,4,2,5,7,1,3]=>([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,5,4,2,6,3,1]=>[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]
[7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[7]
[7,5,4,3,1,6,2]=>[6,3,4,5,7,1,2]=>([(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)],7)=>[7]
[7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[7]
[7,5,4,3,2,6,1]=>[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]
[7,5,4,3,6,1,2]=>[6,1,4,5,7,3,2]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,3,6,2,1]=>[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]
[7,5,4,6,1,2,3]=>[6,1,2,5,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,6,1,3,2]=>[3,6,1,5,7,4,2]=>([(0,1),(0,6),(1,4),(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]=>[2,6,1,5,7,4,3]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,6,2,3,1]=>[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]
[7,5,4,6,3,1,2]=>[3,1,6,5,7,4,2]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,4,6,3,2,1]=>[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]
[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,1,2,4,3]=>[4,1,6,2,7,5,3]=>([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,6,1,3,2,4]=>[3,6,1,2,7,5,4]=>([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,1,3,4,2]=>[4,6,1,3,7,5,2]=>([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,1,4,2,3]=>[4,6,1,2,7,5,3]=>([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,1,4,3,2]=>[3,4,6,1,7,5,2]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,2,1,3,4]=>[2,6,1,3,7,5,4]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,2,1,4,3]=>[2,4,6,1,7,5,3]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[7,5,6,2,3,1,4]=>[3,6,2,1,7,5,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,2,3,4,1]=>[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]
[7,5,6,2,4,1,3]=>[4,6,2,1,7,5,3]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,2,4,3,1]=>[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]
[7,5,6,3,1,2,4]=>[3,1,6,2,7,5,4]=>([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,3,1,4,2]=>[4,3,6,1,7,5,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,3,2,1,4]=>[2,3,6,1,7,5,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[7,5,6,3,2,4,1]=>[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]
[7,5,6,3,4,1,2]=>[4,1,6,3,7,5,2]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,6,3,4,2,1]=>[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]
[7,5,6,4,1,2,3]=>[4,1,2,6,7,5,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,6,4,1,3,2]=>[3,4,1,6,7,5,2]=>([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,5,6,4,2,1,3]=>[2,4,1,6,7,5,3]=>([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[7]
[7,5,6,4,2,3,1]=>[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]
[7,5,6,4,3,1,2]=>[3,1,4,6,7,5,2]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,5,6,4,3,2,1]=>[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]
[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,1,2,3,5,4]=>[5,1,2,6,3,7,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,1,2,4,3,5]=>[4,1,6,2,3,7,5]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>[7]
[7,6,1,2,4,5,3]=>[5,1,6,2,4,7,3]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,1,2,5,3,4]=>[5,1,6,2,3,7,4]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,1,2,5,4,3]=>[4,1,5,6,2,7,3]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,1,3,2,4,5]=>[3,6,1,2,4,7,5]=>([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,3,2,5,4]=>[3,5,1,6,2,7,4]=>([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,1,3,4,2,5]=>[4,6,1,3,2,7,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,1,3,4,5,2]=>[5,6,1,3,4,7,2]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,3,5,2,4]=>[5,6,1,3,2,7,4]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,1,3,5,4,2]=>[4,5,1,6,3,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,4,2,3,5]=>[4,6,1,2,3,7,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>[7]
[7,6,1,4,2,5,3]=>[5,4,6,1,2,7,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,4,3,2,5]=>[3,4,6,1,2,7,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,4,3,5,2]=>[5,4,6,1,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(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]=>[5,6,1,2,4,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,4,5,3,2]=>[3,5,6,1,4,7,2]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,1,5,2,3,4]=>[5,6,1,2,3,7,4]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,1,5,2,4,3]=>[4,5,6,1,2,7,3]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,1,5,3,2,4]=>[3,5,6,1,2,7,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>[7]
[7,6,1,5,3,4,2]=>[4,5,6,1,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,1,5,4,2,3]=>[4,5,1,6,2,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,6,1,5,4,3,2]=>[3,4,5,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>[7]
[7,6,2,1,3,5,4]=>[2,5,1,6,3,7,4]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>[7]
[7,6,2,1,4,3,5]=>[2,4,6,1,3,7,5]=>([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)=>[7]
[7,6,2,1,4,5,3]=>[2,5,6,1,4,7,3]=>([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,2,1,5,3,4]=>[2,5,6,1,3,7,4]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,2,1,5,4,3]=>[2,4,5,6,1,7,3]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,2,3,1,4,5]=>[3,6,2,1,4,7,5]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,3,1,5,4]=>[3,5,2,6,1,7,4]=>([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)=>[7]
[7,6,2,3,4,1,5]=>[4,6,2,3,1,7,5]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,3,4,5,1]=>[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]
[7,6,2,3,5,1,4]=>[5,6,2,3,1,7,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,6,2,3,5,4,1]=>[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]
[7,6,2,4,1,3,5]=>[4,6,2,1,3,7,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,2,4,1,5,3]=>[5,4,6,2,1,7,3]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[7,6,2,4,3,1,5]=>[3,4,6,2,1,7,5]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,2,4,3,5,1]=>[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]
[7,6,2,4,5,1,3]=>[5,6,2,1,4,7,3]=>([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,2,4,5,3,1]=>[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]
[7,6,2,5,1,3,4]=>[5,6,2,1,3,7,4]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,2,5,1,4,3]=>[4,5,6,2,1,7,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[7,6,2,5,3,1,4]=>[3,5,6,2,1,7,4]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)=>[7]
[7,6,2,5,3,4,1]=>[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]
[7,6,2,5,4,1,3]=>[4,5,2,6,1,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,2,5,4,3,1]=>[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]
[7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,3,1,2,5,4]=>[3,1,5,6,2,7,4]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)=>[7]
[7,6,3,1,4,2,5]=>[4,3,6,1,2,7,5]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,6,3,1,4,5,2]=>[5,3,6,1,4,7,2]=>([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,1,5,2,4]=>[5,3,6,1,2,7,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,3,1,5,4,2]=>[4,3,5,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[7]
[7,6,3,2,1,5,4]=>[2,3,5,6,1,7,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,3,2,4,1,5]=>[4,3,6,2,1,7,5]=>([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,2,4,5,1]=>[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]
[7,6,3,2,5,1,4]=>[5,3,6,2,1,7,4]=>([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,2,5,4,1]=>[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]
[7,6,3,4,1,2,5]=>[4,1,6,3,2,7,5]=>([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,3,4,1,5,2]=>[5,4,6,3,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,3,4,2,1,5]=>[2,4,6,3,1,7,5]=>([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,4,2,5,1]=>[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]
[7,6,3,4,5,1,2]=>[5,1,6,3,4,7,2]=>([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,4,5,2,1]=>[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]
[7,6,3,5,1,2,4]=>[5,1,6,3,2,7,4]=>([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,3,5,1,4,2]=>[4,5,6,3,1,7,2]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,3,5,2,1,4]=>[2,5,6,3,1,7,4]=>([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,3,5,2,4,1]=>[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]
[7,6,3,5,4,1,2]=>[4,1,5,6,3,7,2]=>([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,3,5,4,2,1]=>[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]
[7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)=>[7]
[7,6,4,1,2,5,3]=>[5,1,4,6,2,7,3]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,4,1,3,2,5]=>[3,4,1,6,2,7,5]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,4,1,3,5,2]=>[5,4,1,6,3,7,2]=>([(0,6),(1,3),(1,4),(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]=>[5,4,1,6,2,7,3]=>([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,1,5,3,2]=>[3,5,4,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>[7]
[7,6,4,2,1,5,3]=>[2,5,4,6,1,7,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,4,2,3,1,5]=>[3,4,2,6,1,7,5]=>([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)=>[7]
[7,6,4,2,3,5,1]=>[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]
[7,6,4,2,5,1,3]=>[5,4,2,6,1,7,3]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,4,2,5,3,1]=>[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]
[7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,4,3,1,5,2]=>[5,3,4,6,1,7,2]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[7]
[7,6,4,3,2,5,1]=>[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]
[7,6,4,3,5,1,2]=>[5,1,4,6,3,7,2]=>([(0,6),(1,4),(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]=>[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]
[7,6,4,5,1,2,3]=>[5,1,2,6,4,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,5,1,3,2]=>[3,5,1,6,4,7,2]=>([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,5,2,1,3]=>[2,5,1,6,4,7,3]=>([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,4,5,2,3,1]=>[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]
[7,6,4,5,3,1,2]=>[3,1,5,6,4,7,2]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,4,5,3,2,1]=>[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]
[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[7]
[7,6,5,1,2,4,3]=>[4,1,5,2,6,7,3]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,5,1,3,2,4]=>[3,5,1,2,6,7,4]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>[7]
[7,6,5,1,3,4,2]=>[4,5,1,3,6,7,2]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>[7]
[7,6,5,1,4,2,3]=>[4,5,1,2,6,7,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,6,5,1,4,3,2]=>[3,4,5,1,6,7,2]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>[7]
[7,6,5,2,1,4,3]=>[2,4,5,1,6,7,3]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,5,2,3,1,4]=>[3,5,2,1,6,7,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)=>[7]
[7,6,5,2,3,4,1]=>[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]
[7,6,5,2,4,1,3]=>[4,5,2,1,6,7,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>[7]
[7,6,5,2,4,3,1]=>[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]
[7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)=>[7]
[7,6,5,3,1,4,2]=>[4,3,5,1,6,7,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>[7]
[7,6,5,3,2,4,1]=>[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]
[7,6,5,3,4,1,2]=>[4,1,5,3,6,7,2]=>([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>[7]
[7,6,5,3,4,2,1]=>[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]
[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>[7]
[7,6,5,4,1,3,2]=>[3,4,1,5,6,7,2]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>[7]
[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>[7]
[7,6,5,4,2,3,1]=>[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]
[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>[7]
[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>[7]
[5,6,7,8,4,3,2,1]=>[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]
[7,4,5,6,8,3,2,1]=>[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]
[4,5,6,7,8,3,2,1]=>[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]
[8,6,7,3,4,5,2,1]=>[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]
[8,6,7,4,5,2,3,1]=>[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]
[8,7,5,6,2,3,4,1]=>[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]
[6,7,8,3,2,4,5,1]=>[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]
[8,7,5,3,4,2,6,1]=>[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]
[8,5,3,4,2,6,7,1]=>[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]
[4,5,6,7,3,2,8,1]=>[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]
[4,5,6,7,2,3,8,1]=>[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]
[7,8,4,5,6,3,1,2]=>[3,1,6,8,4,5,7,2]=>([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,5,6,7,8,3,1,2]=>[3,1,8,4,5,6,7,2]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[7,6,5,4,3,8,1,2]=>[8,1,4,5,6,7,3,2]=>([(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]
[5,6,3,4,7,8,1,2]=>[8,1,6,3,5,4,7,2]=>([(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]
[5,4,3,6,7,8,1,2]=>[8,1,4,5,3,6,7,2]=>([(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]
[8,5,6,7,4,1,2,3]=>[4,1,2,7,8,5,6,3]=>([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[7,6,5,4,8,1,2,3]=>[8,1,2,5,6,7,4,3]=>([(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]
[7,4,5,6,8,1,2,3]=>[8,1,2,7,4,5,6,3]=>([(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]
[6,4,5,7,8,1,2,3]=>[8,1,2,6,4,5,7,3]=>([(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]
[4,5,6,7,8,1,2,3]=>[8,1,2,4,5,6,7,3]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,5,7,8,3,1,2,4]=>[3,1,8,2,6,5,7,4]=>([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,6,4,2,1,3,5]=>[2,4,1,6,3,7,8,5]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8)=>[8]
[7,8,6,3,1,2,4,5]=>[3,1,6,2,4,8,7,5]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8)=>[8]
[8,7,5,3,2,4,1,6]=>[4,3,5,2,7,1,8,6]=>([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,3,4,1,2,6]=>[4,1,5,3,7,2,8,6]=>([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,8,5,4,2,1,3,6]=>[2,4,1,5,8,3,7,6]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8)=>[8]
[5,6,7,4,3,2,1,8]=>[2,3,4,7,5,6,1,8]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[6,5,4,7,3,2,1,8]=>[2,3,7,5,6,4,1,8]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[6,5,4,3,7,2,1,8]=>[2,7,4,5,6,3,1,8]=>([(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)=>[7,1]
[6,7,5,2,3,4,1,8]=>[4,5,2,3,7,6,1,8]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8]=>([(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)=>[7,1]
[6,5,3,2,4,7,1,8]=>[7,3,5,2,6,4,1,8]=>([(1,5),(1,6),(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)=>[7,1]
[6,2,3,4,5,7,1,8]=>[7,6,2,3,4,5,1,8]=>([(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)=>[7,1]
[5,4,6,7,1,2,3,8]=>[7,1,2,5,4,6,3,8]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[5,6,7,2,1,3,4,8]=>[2,7,1,3,5,6,4,8]=>([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[7,6,4,2,1,3,5,8]=>[2,4,1,6,3,7,5,8]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)=>[7,1]
[7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,6,8]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)=>[7,1]
[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)=>[5,1,1,1]
[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)=>[5,1,1,1]
[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,1,1,1,1]
[4,5,6,8,7,3,2,1]=>[2,3,7,4,5,6,8,1]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,4,8,7,6,5,1]=>[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]
[4,5,6,3,2,8,7,1]=>[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]
[2,5,4,3,6,8,7,1]=>[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]
[2,4,5,6,7,3,8,1]=>[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]
[2,3,7,6,5,4,8,1]=>[8,2,3,5,6,7,4,1]=>([(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]
[1,6,7,8,5,4,3,2]=>[1,3,4,5,8,6,7,2]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,5,6,7,8,4,3,2]=>[1,3,4,8,5,6,7,2]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,4,7,6,5,8,3,2]=>[1,3,8,4,6,7,5,2]=>([(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)=>[7,1]
[1,5,4,6,7,8,3,2]=>[1,3,8,5,4,6,7,2]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)=>[7,1]
[1,3,4,7,6,5,8,2]=>[1,8,3,4,6,7,5,2]=>([(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)=>[7,1]
[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[1,2,6,7,8,5,4,3]=>[1,2,4,5,8,6,7,3]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[1,2,5,6,7,8,4,3]=>[1,2,4,8,5,6,7,3]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[3,2,1,5,7,8,6,4]=>[2,3,1,6,5,8,7,4]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)=>[5,3]
[3,2,1,7,6,5,8,4]=>[2,3,1,8,6,7,5,4]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[5,3]
[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[5,3]
[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>([(3,7),(4,7),(5,7),(6,7)],8)=>[5,1,1,1]
[4,3,2,1,7,6,8,5]=>[2,3,4,1,8,7,6,5]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)=>[4,4]
[3,4,2,1,7,6,8,5]=>[2,4,3,1,8,7,6,5]=>([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)=>[4,4]
[2,4,3,1,7,6,8,5]=>[3,2,4,1,8,7,6,5]=>([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)=>[4,4]
[3,2,4,1,8,7,6,5]=>[4,3,2,1,6,7,8,5]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)=>[4,4]
[3,2,4,1,6,8,7,5]=>[4,3,2,1,7,6,8,5]=>([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)=>[4,4]
[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)=>[4,4]
[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)=>[4,4]
[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)=>[4,4]
[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)=>[4,4]
[1,4,3,2,7,6,8,5]=>[1,3,4,2,8,7,6,5]=>([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,3,1]
[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5]=>([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,3,1]
[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,7,6,5]=>([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]=>([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,1,1]
[3,2,1,4,7,6,8,5]=>[2,3,1,4,8,7,6,5]=>([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,3,1]
[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,7,6,5]=>([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,3,1]
[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,7,6,5]=>([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,1,1]
[2,1,3,4,7,6,8,5]=>[2,1,3,4,8,7,6,5]=>([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,1,1]
[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,1,1,1,1]
[2,4,5,3,1,8,7,6]=>[3,2,5,4,1,7,8,6]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)=>[5,3]
[4,3,2,5,1,8,7,6]=>[5,3,4,2,1,7,8,6]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[5,3]
[3,2,4,1,5,8,7,6]=>[4,3,2,1,5,7,8,6]=>([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,3,1]
[2,1,5,4,6,3,8,7]=>[2,1,6,5,4,3,8,7]=>([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[3,2,4,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>([(0,7),(1,6),(2,5),(3,4)],8)=>[2,2,2,2]
[3,4,7,6,5,2,1,8]=>[2,5,3,4,6,7,1,8]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[2,4,6,7,5,3,1,8]=>[3,2,5,4,7,6,1,8]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)=>[7,1]
[5,4,3,2,7,6,1,8]=>[6,3,4,5,2,7,1,8]=>([(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)=>[7,1]
[2,5,4,3,6,7,1,8]=>[7,2,4,5,3,6,1,8]=>([(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)=>[7,1]
[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,1,1,1,1]
[3,2,4,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,1,1]
[1,3,6,4,5,8,7,2]=>[1,7,3,6,4,5,8,2]=>([(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)=>[7,1]
[1,3,8,5,6,7,4,2]=>[1,4,3,7,8,5,6,2]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[1,8,3,4,6,7,5,2]=>[1,5,7,3,8,4,6,2]=>([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,8,3,5,7,6,4,2]=>[1,4,6,7,3,8,5,2]=>([(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)=>[7,1]
[1,8,4,7,6,5,3,2]=>[1,3,5,6,7,8,4,2]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,8,5,4,3,7,6,2]=>[1,6,4,5,7,8,3,2]=>([(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)=>[7,1]
[1,8,6,5,4,7,3,2]=>[1,3,7,5,6,8,4,2]=>([(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)=>[7,1]
[2,1,4,3,8,6,7,5]=>[2,1,4,3,7,8,6,5]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[2,1,6,4,5,3,8,7]=>[2,1,5,6,4,3,8,7]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[2,1,8,4,5,6,7,3]=>[2,1,7,8,4,5,6,3]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[2,1,8,4,7,6,5,3]=>[2,1,5,6,7,8,4,3]=>([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[2,3,7,4,5,6,8,1]=>[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]
[2,5,3,4,6,7,1,8]=>[7,2,5,3,4,6,1,8]=>([(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)=>[7,1]
[2,6,3,4,5,8,7,1]=>[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]
[2,8,3,7,5,6,4,1]=>[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]
[2,8,5,4,3,6,7,1]=>[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]
[3,2,1,7,5,6,8,4]=>[2,3,1,8,7,5,6,4]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[5,3]
[3,2,1,8,5,6,7,4]=>[2,3,1,7,8,5,6,4]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[5,3]
[3,2,4,1,8,6,7,5]=>[4,3,2,1,7,8,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)=>[4,4]
[4,2,3,1,6,5,8,7]=>[3,4,2,1,6,5,8,7]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[4,2,3,1,7,6,8,5]=>[3,4,2,1,8,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)=>[4,4]
[4,2,3,1,8,6,7,5]=>[3,4,2,1,7,8,6,5]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)=>[4,4]
[4,2,3,5,1,8,7,6]=>[5,4,2,3,1,7,8,6]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[5,3]
[5,2,3,4,1,8,7,6]=>[4,5,2,3,1,7,8,6]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[5,3]
[7,2,3,5,6,4,1,8]=>[4,6,2,7,3,5,1,8]=>([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[8,2,4,7,6,5,3,1]=>[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]
[8,2,7,4,6,5,3,1]=>[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]
[8,6,3,5,4,2,7,1]=>[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]
[8,7,3,6,5,4,2,1]=>[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]
[2,4,1,6,3,7,8,5]=>[8,2,4,1,6,3,7,5]=>([(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]
[2,1,4,3,7,5,8,6]=>[2,1,4,3,8,7,5,6]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[2,1,5,3,6,4,8,7]=>[2,1,6,5,3,4,8,7]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[2,5,1,6,3,8,4,7]=>[8,2,6,5,1,3,4,7]=>([(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]
[2,1,5,3,7,4,8,6]=>[2,1,8,5,3,7,4,6]=>([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[2,1,6,3,7,4,8,5]=>[2,1,8,7,6,3,4,5]=>([(0,1),(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)=>[6,2]
[2,6,1,7,3,8,4,5]=>[8,2,7,6,1,3,4,5]=>([(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]
[2,3,4,1,7,5,8,6]=>[4,2,3,1,8,7,5,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)=>[4,4]
[2,3,4,8,1,5,6,7]=>[8,2,3,4,1,5,6,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,4,2,6,5,8,7]=>[4,3,1,2,6,5,8,7]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,2,2]
[3,1,4,2,6,7,8,5]=>[4,3,1,2,8,6,7,5]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)=>[4,4]
[3,1,4,2,7,5,8,6]=>[4,3,1,2,8,7,5,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)=>[4,4]
[3,4,5,8,1,2,6,7]=>[8,1,3,4,5,2,6,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,4,5,6,1,7,8,2]=>[8,6,3,4,5,1,7,2]=>([(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]
[3,1,5,2,6,4,8,7]=>[6,3,1,5,2,4,8,7]=>([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[3,1,5,2,7,4,8,6]=>[8,3,1,5,2,7,4,6]=>([(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]
[3,5,1,7,2,4,6,8]=>[7,5,3,1,2,4,6,8]=>([(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)=>[7,1]
[3,5,1,8,2,4,6,7]=>[8,5,3,1,2,4,6,7]=>([(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]
[3,1,6,2,7,4,8,5]=>[8,3,1,7,6,2,4,5]=>([(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]
[3,1,2,6,7,4,8,5]=>[3,1,2,8,7,6,4,5]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[5,3]
[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[4,1,5,2,6,3,8,7]=>[6,5,4,1,2,3,8,7]=>([(0,1),(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)=>[6,2]
[4,1,5,2,6,8,3,7]=>[8,5,4,1,2,6,3,7]=>([(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]
[4,5,6,8,1,2,3,7]=>[8,1,2,4,5,6,3,7]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,5,1,6,2,7,3,8]=>[7,6,5,4,1,2,3,8]=>([(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)=>[7,1]
[4,1,5,2,7,3,8,6]=>[8,5,4,1,2,7,3,6]=>([(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]
[4,5,1,2,7,3,6,8]=>[7,1,5,4,2,3,6,8]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[4,5,1,7,2,3,6,8]=>[7,5,1,4,2,3,6,8]=>([(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)=>[7,1]
[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[4,1,5,2,3,7,8,6]=>[5,4,1,2,3,8,7,6]=>([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[5,3]
[1,4,5,2,7,8,3,6]=>[1,8,5,4,2,3,7,6]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[4,5,1,8,2,3,6,7]=>[8,5,1,4,2,3,6,7]=>([(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]
[1,4,5,2,8,3,6,7]=>[1,8,5,4,2,3,6,7]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,4,5,6,7,2,8,3]=>[1,8,7,4,5,6,2,3]=>([(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)=>[7,1]
[4,1,6,2,7,3,8,5]=>[8,7,4,1,6,2,3,5]=>([(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]
[4,6,1,2,7,3,5,8]=>[7,1,6,4,2,3,5,8]=>([(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)=>[7,1]
[4,6,1,7,2,3,5,8]=>[7,6,1,4,2,3,5,8]=>([(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)=>[7,1]
[1,4,6,7,2,8,3,5]=>[1,8,7,4,2,6,3,5]=>([(1,5),(1,6),(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)=>[7,1]
[4,1,6,2,8,3,5,7]=>[8,6,4,1,2,3,5,7]=>([(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]
[4,6,1,2,8,3,5,7]=>[8,1,6,4,2,3,5,7]=>([(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]
[4,6,1,8,2,3,5,7]=>[8,6,1,4,2,3,5,7]=>([(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]
[1,4,6,2,8,3,5,7]=>[1,8,6,4,2,3,5,7]=>([(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)=>[7,1]
[4,7,1,2,8,3,5,6]=>[8,1,7,4,2,3,5,6]=>([(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]
[4,7,1,8,2,3,5,6]=>[8,7,1,4,2,3,5,6]=>([(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]
[1,4,7,2,8,3,5,6]=>[1,8,7,4,2,3,5,6]=>([(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)=>[7,1]
[1,4,2,8,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[5,1,6,2,7,3,8,4]=>[8,7,6,5,1,2,3,4]=>([(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]
[5,6,1,2,7,3,8,4]=>[8,1,7,6,5,2,3,4]=>([(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]
[5,6,1,7,2,3,8,4]=>[8,7,1,6,5,2,3,4]=>([(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]
[5,1,6,2,7,3,4,8]=>[7,6,5,1,2,3,4,8]=>([(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)=>[7,1]
[5,1,2,6,3,7,8,4]=>[8,1,6,5,2,3,7,4]=>([(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]
[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[5,1,6,2,8,3,4,7]=>[8,6,5,1,2,3,4,7]=>([(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]
[5,6,1,2,8,3,4,7]=>[8,1,6,2,5,3,4,7]=>([(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]
[5,1,6,2,3,8,4,7]=>[8,6,1,5,2,3,4,7]=>([(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]
[1,5,6,2,3,8,4,7]=>[1,8,2,6,5,3,4,7]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,5,6,2,8,3,4,7]=>[1,8,6,2,5,3,4,7]=>([(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)=>[7,1]
[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[5,1,7,2,8,3,4,6]=>[8,7,5,1,2,3,4,6]=>([(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]
[5,7,1,2,8,3,4,6]=>[8,1,7,2,5,3,4,6]=>([(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]
[5,1,2,7,3,8,4,6]=>[8,1,7,5,2,3,4,6]=>([(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]
[1,5,2,7,3,8,4,6]=>[1,8,7,5,2,3,4,6]=>([(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)=>[7,1]
[1,5,7,2,3,8,4,6]=>[1,8,2,7,5,3,4,6]=>([(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)=>[7,1]
[1,5,7,2,8,3,4,6]=>[1,8,7,2,5,3,4,6]=>([(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)=>[7,1]
[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,2,5,3,8,4,6,7]=>[1,2,8,5,3,4,6,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[6,1,7,2,8,3,4,5]=>[8,7,6,1,2,3,4,5]=>([(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]
[6,7,1,8,2,3,4,5]=>[8,7,1,2,3,6,4,5]=>([(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]
[6,1,7,2,3,8,4,5]=>[8,7,1,6,2,3,4,5]=>([(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]
[6,7,1,2,3,8,4,5]=>[8,1,2,7,3,6,4,5]=>([(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]
[1,6,2,7,3,8,4,5]=>[1,8,7,6,2,3,4,5]=>([(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)=>[7,1]
[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>([(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)=>[7,1]
[1,6,7,2,8,3,4,5]=>[1,8,7,2,3,6,4,5]=>([(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)=>[7,1]
[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[6,1,7,2,3,4,8,5]=>[8,7,1,2,6,3,4,5]=>([(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]
[6,1,2,7,3,4,8,5]=>[8,1,7,2,6,3,4,5]=>([(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]
[1,6,2,7,3,4,8,5]=>[1,8,7,2,6,3,4,5]=>([(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)=>[7,1]
[1,6,2,3,7,4,8,5]=>[1,8,2,7,6,3,4,5]=>([(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)=>[7,1]
[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[1,6,2,7,3,4,5,8]=>[1,7,6,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[6,1,2,8,3,4,5,7]=>[8,1,6,2,3,4,5,7]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,6,2,8,3,4,5,7]=>[1,8,6,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,6,2,3,4,8,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,2,6,3,4,8,5,7]=>[1,2,8,3,6,4,5,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)=>[5,1,1,1]
[7,1,2,3,8,4,5,6]=>[8,1,2,7,3,4,5,6]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[1,2,7,3,4,8,5,6]=>[1,2,8,3,7,4,5,6]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)=>[5,1,1,1]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)=>[5,1,1,1]
[6,4,5,2,3,1,8,7]=>[3,5,2,6,4,1,8,7]=>([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[2,1,8,6,7,4,5,3]=>[2,1,5,7,4,8,6,3]=>([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[8,4,7,2,6,5,3,1]=>[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]
[6,4,7,1,2,3,5,8]=>[7,1,2,6,4,3,5,8]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[3,8,2,7,1,4,5,6]=>[7,8,3,2,1,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[4,8,2,7,1,3,5,6]=>[7,8,2,4,1,3,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[5,4,3,7,1,2,6,8]=>[7,1,4,5,3,2,6,8]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[7,4,2,8,1,3,5,6]=>[8,4,2,7,1,3,5,6]=>([(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]
[8,4,2,7,1,3,5,6]=>[7,4,2,8,1,3,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)=>[8]
[8,5,2,7,1,3,4,6]=>[7,5,2,1,8,3,4,6]=>([(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),(6,7)],8)=>[8]
[8,7,2,4,1,3,5,6]=>[4,7,2,1,3,5,8,6]=>([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[5,7,3,4,8,1,2,6]=>[8,1,7,3,5,4,2,6]=>([(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]
[3,8,2,6,7,1,4,5]=>[7,8,3,2,1,4,6,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[6,8,2,5,7,1,3,4]=>[7,8,2,1,3,6,5,4]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[6,5,8,2,7,1,3,4]=>[7,8,2,1,6,5,3,4]=>([(0,1),(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)],8)=>[8]
[8,4,7,2,6,1,3,5]=>[6,7,2,8,4,1,3,5]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[5,4,3,2,8,1,6,7]=>[8,3,4,5,2,1,6,7]=>([(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]
[6,5,4,3,8,1,2,7]=>[8,1,4,5,6,3,2,7]=>([(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]
[8,7,4,2,6,1,3,5]=>[6,4,2,7,1,3,8,5]=>([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,5,4,3,2,8,1,7]=>[8,3,4,5,6,2,1,7]=>([(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]
[8,1,2,3,7,4,5,6]=>[7,1,2,8,3,4,5,6]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[4,1,2,7,6,3,8,5]=>[8,1,4,2,6,7,3,5]=>([(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]
[3,1,7,2,6,4,8,5]=>[8,3,1,6,7,2,4,5]=>([(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]
[6,1,5,2,3,8,4,7]=>[8,5,1,6,2,3,4,7]=>([(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]
[5,1,4,2,7,3,8,6]=>[8,4,5,1,2,7,3,6]=>([(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]
[7,1,4,2,6,3,8,5]=>[8,4,6,1,7,2,3,5]=>([(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]
[8,1,5,2,7,3,4,6]=>[7,5,8,1,2,3,4,6]=>([(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)],8)=>[8]
[7,1,5,2,6,3,8,4]=>[8,6,5,7,1,2,3,4]=>([(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]
[3,1,8,6,2,4,5,7]=>[6,3,1,2,4,8,5,7]=>([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)=>[8]
[3,1,8,5,2,7,4,6]=>[7,3,1,5,8,2,4,6]=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,1,6,2,3,5,7]=>[6,4,1,8,2,3,5,7]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)=>[8]
[7,4,1,8,2,3,5,6]=>[8,4,1,7,2,3,5,6]=>([(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]
[7,4,1,6,2,3,8,5]=>[8,4,1,6,7,2,3,5]=>([(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]
[8,3,1,7,6,2,4,5]=>[6,3,7,1,2,8,4,5]=>([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[2,7,4,1,6,3,8,5]=>[8,2,4,6,7,1,3,5]=>([(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]
[3,6,7,4,5,8,1,2]=>[8,1,3,7,4,6,5,2]=>([(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]
[6,3,8,2,1,7,5,4]=>[2,5,7,8,6,3,1,4]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[3,5,2,7,1,8,6,4]=>[6,8,3,5,2,7,1,4]=>([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[5,4,1,8,7,2,3,6]=>[7,4,1,5,2,3,8,6]=>([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,5,8,3,1,2,4,6]=>[3,1,8,2,7,5,4,6]=>([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,4,1,7,5,8,6]=>[4,3,2,1,8,7,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)=>[4,4]
[3,1,4,2,7,6,8,5]=>[4,3,1,2,8,7,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8)=>[4,4]
[8,6,1,3,4,2,5,7]=>[4,6,1,3,2,8,5,7]=>([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,3,5,2,4,1,7]=>[4,5,6,3,2,8,1,7]=>([(0,1),(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]
[3,2,5,1,6,8,4,7]=>[8,3,2,5,1,6,4,7]=>([(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]
[3,6,2,5,4,8,1,7]=>[8,5,3,6,2,4,1,7]=>([(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]
[5,3,1,6,8,2,4,7]=>[8,3,5,1,2,6,4,7]=>([(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]
[6,1,7,4,2,8,3,5]=>[8,4,7,6,1,2,3,5]=>([(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]
[4,7,1,5,2,8,3,6]=>[8,5,7,4,1,2,3,6]=>([(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]
[3,8,2,5,7,1,6,4]=>[6,7,3,8,2,5,1,4]=>([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,3,6,2,5,4,1]=>[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]
[4,1,3,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8)=>[4,2,2]
[6,5,2,7,1,8,3,4]=>[8,7,5,2,6,1,3,4]=>([(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]
[2,1,6,3,5,4,8,7]=>[2,1,5,6,3,4,8,7]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8)=>[4,2,2]
[2,3,4,1,8,5,7,6]=>[4,2,3,1,7,8,5,6]=>([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,4]
[4,1,3,2,8,5,7,6]=>[3,4,1,2,7,8,5,6]=>([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8)=>[4,4]
[2,1,4,3,8,5,7,6]=>[2,1,4,3,7,8,5,6]=>([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8)=>[4,2,2]
[4,1,3,2,6,7,8,5]=>[3,4,1,2,8,6,7,5]=>([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,4]
[4,8,1,2,7,6,3,5]=>[6,1,7,4,2,8,3,5]=>([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,5,7,3,6,4,2]=>[1,4,6,7,8,5,3,2]=>([(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)=>[7,1]
[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[7,1]
[1,8,2,6,3,7,4,5]=>[1,7,6,8,2,3,4,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[7,1]
[1,7,2,6,3,8,4,5]=>[1,8,6,7,2,3,4,5]=>([(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)=>[7,1]
[1,6,2,8,3,7,4,5]=>[1,7,8,6,2,3,4,5]=>([(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)=>[7,1]
[1,7,2,8,3,6,4,5]=>[1,6,8,7,2,3,4,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[7,1]
[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[7,1]
[3,6,1,7,5,2,8,4]=>[8,5,3,7,6,1,2,4]=>([(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]
[3,4,1,2,7,6,8,5]=>[4,1,3,2,8,7,6,5]=>([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)=>[4,4]
[6,1,2,8,4,5,7,3]=>[7,1,8,6,2,4,5,3]=>([(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),(6,7)],8)=>[8]
[5,7,8,4,3,6,2,1]=>[2,6,4,8,5,3,7,1]=>([(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]
[2,7,3,5,8,6,1,4]=>[6,2,8,3,1,7,5,4]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[7,3,5,6,8,4,2,1]=>[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]
[2,7,8,5,6,3,4,1]=>[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]
[5,2,1,4,3,8,7,6]=>[2,4,5,1,3,7,8,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>[5,3]
[1,8,3,2,7,6,5,4]=>[1,3,5,6,7,8,2,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[7,1]
[1,8,4,7,2,6,5,3]=>[1,5,6,7,8,4,2,3]=>([(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)=>[7,1]
[6,3,2,1,4,5,8,7]=>[2,3,6,1,4,5,8,7]=>([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>[6,2]
[7,4,1,2,3,8,5,6]=>[4,1,2,8,7,3,5,6]=>([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[2,6,5,8,7,3,4,1]=>[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]
[7,5,1,2,8,3,4,6]=>[8,1,5,2,7,3,4,6]=>([(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]
[5,3,6,7,1,2,8,4]=>[8,1,7,5,3,6,2,4]=>([(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]
[4,5,7,3,1,8,6,2]=>[6,3,8,4,5,7,1,2]=>([(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)],8)=>[8]
[4,5,7,1,3,8,2,6]=>[8,7,1,4,5,3,2,6]=>([(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]
[7,3,1,5,8,6,2,4]=>[6,3,8,1,2,7,5,4]=>([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[6,2,5,1,8,4,7,3]=>[7,8,5,6,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(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)],8)=>[8]
[6,1,5,2,8,3,7,4]=>[7,8,5,6,1,2,3,4]=>([(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)],8)=>[8]
[6,1,4,2,8,3,7,5]=>[7,4,8,1,6,2,3,5]=>([(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)],8)=>[8]
[5,1,3,2,8,4,7,6]=>[3,7,1,5,2,8,4,6]=>([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,4,6,8,3,7,5,2]=>[1,5,7,4,8,6,3,2]=>([(1,5),(1,6),(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)=>[7,1]
[2,1,8,4,7,3,6,5]=>[2,1,6,7,8,4,3,5]=>([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[2,6,3,4,5,8,1,7]=>[8,2,6,3,4,5,1,7]=>([(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]
[6,1,5,2,8,3,4,7]=>[8,5,6,1,2,3,4,7]=>([(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]
[7,4,2,6,5,1,3,8]=>[5,4,2,6,7,1,3,8]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[7,1]
[6,4,8,1,2,7,3,5]=>[7,1,8,6,4,2,3,5]=>([(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),(6,7)],8)=>[8]
[7,1,4,2,5,3,8,6]=>[5,4,8,1,2,7,3,6]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)=>[8]
[5,2,8,4,7,1,6,3]=>[6,7,8,5,2,4,1,3]=>([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(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]
[4,1,6,2,8,3,7,5]=>[7,8,4,1,6,2,3,5]=>([(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)],8)=>[8]
[5,6,7,3,1,8,4,2]=>[4,3,8,7,5,6,1,2]=>([(0,1),(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)],8)=>[8]
[3,8,2,4,6,7,1,5]=>[7,8,3,2,4,1,6,5]=>([(0,1),(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)],8)=>[8]
[8,1,7,2,6,3,5,4]=>[5,6,7,8,1,2,3,4]=>([(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)],8)=>[8]
[3,2,6,1,5,4,7,8]=>[5,3,2,6,1,4,7,8]=>([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[3,1,8,2,7,4,6,5]=>[6,3,1,7,8,2,4,5]=>([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[6,3,4,5,8,7,2,1]=>[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]
[6,8,3,1,7,2,5,4]=>[5,3,7,8,1,6,2,4]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)=>[8]
[8,7,1,6,2,5,4,3]=>[4,5,6,7,1,2,8,3]=>([(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)],8)=>[8]
[1,7,2,8,5,3,4,6]=>[1,5,8,2,7,3,4,6]=>([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[7,1]
[8,2,6,1,7,3,5,4]=>[5,7,6,8,2,1,3,4]=>([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,3,4,6,8,2,7]=>[1,8,5,3,4,6,2,7]=>([(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)=>[7,1]
[4,7,3,6,2,5,1,8]=>[5,6,7,4,3,2,1,8]=>([(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)=>[7,1]
[5,4,6,1,3,2,8,7]=>[3,6,1,5,4,2,8,7]=>([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[8,4,7,3,6,2,5,1]=>[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]
[2,1,7,6,8,3,5,4]=>[2,1,5,8,3,7,6,4]=>([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[7,2,5,1,8,3,4,6]=>[8,5,7,2,1,3,4,6]=>([(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]
[8,2,7,4,1,3,5,6]=>[4,7,2,8,1,3,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8)=>[8]
[8,5,3,7,2,6,4,1]=>[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]
[7,5,1,8,6,2,3,4]=>[6,5,1,2,8,7,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,7,6,1,4,8,2,5]=>[8,6,3,1,4,7,2,5]=>([(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]
[4,7,6,5,8,1,2,3]=>[8,1,2,4,6,7,5,3]=>([(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]
[3,6,2,4,8,1,5,7]=>[8,6,3,2,4,1,5,7]=>([(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]
[4,2,6,1,8,5,7,3]=>[7,8,4,2,6,1,5,3]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[3,5,6,4,1,8,2,7]=>[8,4,3,6,5,1,2,7]=>([(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]
[4,2,6,1,8,3,5,7]=>[8,6,4,2,1,3,5,7]=>([(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]
[4,2,1,8,6,3,5,7]=>[2,6,4,1,3,8,5,7]=>([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,8,6,1,3,5,7]=>[6,4,2,1,3,8,5,7]=>([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,2,6,1,5,4,8,7]=>[5,3,2,6,1,4,8,7]=>([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[6,1,5,2,4,3,8,7]=>[4,5,6,1,2,3,8,7]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[6,2]
[6,1,3,2,5,4,8,7]=>[3,5,1,6,2,4,8,7]=>([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)=>[6,2]
[2,1,5,4,8,3,7,6]=>[2,1,7,5,4,8,3,6]=>([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[4,3,6,5,8,1,7,2]=>[7,8,4,3,6,5,1,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(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)],8)=>[8]
[8,2,7,1,5,3,6,4]=>[6,5,7,8,2,1,3,4]=>([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,3,7,4,6,5]=>[2,1,6,7,8,3,4,5]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[6,2]
[2,1,8,3,5,4,7,6]=>[2,1,5,7,3,8,4,6]=>([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)=>[6,2]
[8,1,3,2,5,4,7,6]=>[3,5,1,7,2,8,4,6]=>([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[8,1,5,2,4,3,7,6]=>[4,5,7,1,2,8,3,6]=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,2,8,1,5,4,7,6]=>[5,3,2,7,1,8,4,6]=>([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[3,2,4,1,8,5,7,6]=>[4,3,2,1,7,8,5,6]=>([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,4]
[4,1,3,2,7,6,8,5]=>[3,4,1,2,8,7,6,5]=>([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,4]
[7,2,4,1,8,5,6,3]=>[6,4,8,2,7,1,5,3]=>([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)=>[8]
[7,6,8,1,3,2,5,4]=>[3,5,1,8,2,7,6,4]=>([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[7,1,8,2,6,4,5,3]=>[5,6,8,7,1,2,4,3]=>([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,2,8,5,3,4,6]=>[5,1,8,2,7,3,4,6]=>([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)=>[8]
[2,1,8,4,7,5,6,3]=>[2,1,6,7,8,4,5,3]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[6,3,4,7,5,8,1,2]=>[8,1,7,3,6,4,5,2]=>([(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]
[4,8,3,7,1,2,6,5]=>[6,1,7,4,8,3,2,5]=>([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,7,5,4,1,3,6]=>[4,2,1,5,7,3,8,6]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8)=>[8]
[7,2,5,1,4,3,8,6]=>[4,5,8,2,1,7,3,6]=>([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,2,6,1,5,4,3]=>[4,5,6,7,2,1,8,3]=>([(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)],8)=>[8]
[7,2,8,5,6,1,4,3]=>[4,6,8,2,7,1,5,3]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)=>[8]
[5,3,6,4,7,8,1,2]=>[8,1,6,5,3,4,7,2]=>([(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]
[5,2,8,1,7,3,6,4]=>[6,7,8,5,2,1,3,4]=>([(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]
[4,6,8,2,7,1,5,3]=>[5,7,8,4,2,6,1,3]=>([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)=>[8]
[2,4,8,7,6,1,3,5]=>[6,2,1,4,3,7,8,5]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[7,5,8,3,4,1,6,2]=>[6,4,8,3,7,5,1,2]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[7,5,3,8,6,1,4,2]=>[4,6,5,3,8,7,1,2]=>([(0,1),(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)],8)=>[8]
[7,5,8,3,6,1,4,2]=>[4,6,8,3,7,5,1,2]=>([(0,5),(0,6),(0,7),(1,3),(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)],8)=>[8]
[7,5,8,3,1,6,4,2]=>[4,3,6,8,7,5,1,2]=>([(0,1),(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)],8)=>[8]
[7,5,6,3,1,8,4,2]=>[4,3,8,6,7,5,1,2]=>([(0,1),(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)],8)=>[8]
[3,6,8,2,5,7,1,4]=>[7,8,3,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[7,3,2,1,8,4,5,6]=>[2,3,8,7,1,4,5,6]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,7,4,1,8,2,6,3]=>[6,8,4,7,5,1,2,3]=>([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,7,4,6,1,3,2]=>[3,6,1,7,8,5,4,2]=>([(0,1),(0,7),(1,4),(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]
[4,2,6,3,8,1,5,7]=>[8,6,4,2,3,1,5,7]=>([(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]
[7,1,6,4,2,3,5,8]=>[4,6,1,7,2,3,5,8]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[7,1]
[3,8,7,1,5,4,2,6]=>[4,5,3,7,1,2,8,6]=>([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[1,6,5,7,2,4,3,8]=>[1,4,7,2,6,5,3,8]=>([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[3,6,4,5,1,8,2,7]=>[8,5,3,6,4,1,2,7]=>([(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]
[2,3,1,8,4,7,5,6]=>[3,2,1,7,8,4,5,6]=>([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[5,3]
[4,7,5,8,1,6,3,2]=>[3,6,8,4,7,5,1,2]=>([(0,6),(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)],8)=>[8]
[8,5,7,3,6,1,4,2]=>[4,6,7,3,8,5,1,2]=>([(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)],8)=>[8]
[4,1,2,3,7,6,8,5]=>[4,1,2,3,8,7,6,5]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)=>[4,4]
[3,2,4,1,8,5,6,7]=>[4,3,2,1,8,5,6,7]=>([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)=>[4,4]
[6,8,1,3,5,7,2,4]=>[7,8,1,3,2,6,5,4]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[1,8,6,2,5,3,4,7]=>[1,5,6,2,3,8,4,7]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[7,6,1,2,8,3,5,4]=>[5,1,8,6,2,7,3,4]=>([(0,6),(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)],8)=>[8]
[6,5,4,1,2,3,8,7]=>[4,1,2,5,6,3,8,7]=>([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>[6,2]
[3,1,7,5,2,8,4,6]=>[8,3,1,5,7,2,4,6]=>([(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]
[3,2,6,8,7,4,5,1]=>[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]
[3,7,1,8,4,2,5,6]=>[4,8,3,7,1,2,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,4,5,6,8,1,7,2]=>[7,8,3,4,5,6,1,2]=>([(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)],8)=>[8]
[7,3,1,8,6,2,4,5]=>[6,3,8,1,2,7,4,5]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[3,1,7,2,5,4,8,6]=>[5,3,1,8,2,7,4,6]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7)],8)=>[8]
[7,1,8,2,5,3,6,4]=>[6,5,8,7,1,2,3,4]=>([(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)],8)=>[8]
[7,3,8,4,5,1,6,2]=>[6,5,8,7,3,4,1,2]=>([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(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)],8)=>[8]
[8,3,7,4,6,1,5,2]=>[5,6,7,8,3,4,1,2]=>([(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)],8)=>[8]
[8,2,7,1,6,4,5,3]=>[5,6,7,8,2,1,4,3]=>([(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)],8)=>[8]
[8,2,7,5,6,1,4,3]=>[4,6,7,2,8,1,5,3]=>([(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),(5,7)],8)=>[8]
[8,2,6,7,5,4,1,3]=>[4,5,2,7,8,1,6,3]=>([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,6,7,2,3,1,5,4]=>[3,5,2,7,1,8,6,4]=>([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7)],8)=>[8]
[3,4,7,2,8,1,5,6]=>[8,7,3,4,2,1,5,6]=>([(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]
[4,2,3,5,8,1,6,7]=>[8,4,2,3,5,1,6,7]=>([(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]
[4,5,7,3,2,8,6,1]=>[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]
[3,6,1,8,5,2,7,4]=>[7,5,3,8,6,1,2,4]=>([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,2,5,8,3,6,1,4]=>[6,8,7,2,3,5,1,4]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,7,3,8,4,2,1]=>[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]
[8,5,7,6,4,3,2,1]=>[2,3,4,6,7,8,5,1]=>([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,7,6,5,3,2,1]=>[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]
[8,4,7,3,6,5,2,1]=>[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]
[8,1,7,4,6,5,3,2]=>[3,5,6,7,8,1,4,2]=>([(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)],8)=>[8]
[8,3,7,2,6,5,4,1]=>[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]
[8,4,7,1,6,5,3,2]=>[3,5,6,7,8,4,1,2]=>([(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)],8)=>[8]
[8,3,7,1,6,5,4,2]=>[4,5,6,7,8,3,1,2]=>([(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),(5,7),(6,7)],8)=>[8]
[8,3,7,1,6,4,5,2]=>[5,6,7,8,3,1,4,2]=>([(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),(6,7)],8)=>[8]
[8,6,7,2,5,3,4,1]=>[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]
[8,5,7,2,6,3,4,1]=>[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]
[8,4,7,2,6,3,5,1]=>[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]
[8,3,7,2,6,4,5,1]=>[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]
[8,2,7,3,6,4,5,1]=>[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]
[8,3,7,4,6,2,5,1]=>[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]
[8,5,7,3,6,2,4,1]=>[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]
[8,6,7,3,5,2,4,1]=>[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]
[8,5,7,4,6,2,3,1]=>[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]
[8,4,7,5,6,2,3,1]=>[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]
[8,3,7,5,6,2,4,1]=>[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]
[8,2,7,5,6,3,4,1]=>[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]
[8,3,7,5,6,1,4,2]=>[4,6,7,3,8,1,5,2]=>([(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)],8)=>[8]
[8,4,7,5,6,1,3,2]=>[3,6,1,7,8,4,5,2]=>([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,7,4,5,1,3,2]=>[3,5,1,7,4,8,6,2]=>([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,6,7,3,5,1,4,2]=>[4,5,7,3,1,8,6,2]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,7,3,6,1,5,2]=>[5,6,7,8,4,3,1,2]=>([(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]
[8,1,7,3,6,2,5,4]=>[5,6,7,8,1,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,7,2,6,1,5,4]=>[5,6,7,8,3,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(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]
[8,4,7,2,6,1,5,3]=>[5,6,7,8,4,2,1,3]=>([(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]
[8,5,7,2,6,1,4,3]=>[4,6,7,2,8,5,1,3]=>([(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)],8)=>[8]
[8,6,7,2,5,1,4,3]=>[4,5,7,2,1,8,6,3]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)=>[8]
[8,4,7,1,6,2,5,3]=>[5,6,7,8,4,1,2,3]=>([(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]
[8,6,1,3,5,4,2,7]=>[4,5,1,6,3,8,2,7]=>([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,5,4,3,6,7]=>[2,1,4,5,8,3,6,7]=>([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>[6,2]
[5,1,7,4,2,3,8,6]=>[4,8,1,5,2,7,3,6]=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[1,3,4,8,6,5,2,7]=>[1,5,3,4,6,8,2,7]=>([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[3,7,4,5,6,8,1,2]=>[8,1,3,7,4,5,6,2]=>([(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]
[2,1,5,3,8,4,7,6]=>[2,1,7,5,3,8,4,6]=>([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[3,1,8,2,5,4,7,6]=>[5,3,1,7,2,8,4,6]=>([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)=>[8]
[8,1,3,2,6,4,7,5]=>[3,7,1,6,8,2,4,5]=>([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,1,8,2,6,4,7,5]=>[7,3,1,6,8,2,4,5]=>([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,1,8,3,6,4,7,5]=>[2,1,7,6,8,3,4,5]=>([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[2,1,6,3,8,4,7,5]=>[2,1,7,8,6,3,4,5]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[2,1,7,3,5,4,8,6]=>[2,1,5,8,3,7,4,6]=>([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[2,1,7,3,6,4,8,5]=>[2,1,8,6,7,3,4,5]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[2,1,7,3,8,4,6,5]=>[2,1,6,8,7,3,4,5]=>([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[8,1,4,2,7,3,6,5]=>[6,4,7,1,8,2,3,5]=>([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[4,1,7,2,8,3,6,5]=>[6,8,4,1,7,2,3,5]=>([(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)],8)=>[8]
[3,1,7,2,8,4,6,5]=>[6,3,1,8,7,2,4,5]=>([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8)=>[8]
[3,1,6,2,5,4,8,7]=>[5,3,1,6,2,4,8,7]=>([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[7,1,3,2,5,4,8,6]=>[3,5,1,8,2,7,4,6]=>([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)=>[8]
[7,1,3,2,6,4,8,5]=>[3,8,1,6,7,2,4,5]=>([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,8,2,4,3,6,5]=>[4,6,8,1,7,2,3,5]=>([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[7,1,5,2,8,3,6,4]=>[6,8,5,7,1,2,3,4]=>([(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),(6,7)],8)=>[8]
[6,1,4,2,5,3,8,7]=>[5,4,6,1,2,3,8,7]=>([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[4,1,6,2,5,3,8,7]=>[5,6,4,1,2,3,8,7]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[4,1,7,2,5,3,8,6]=>[5,8,4,1,2,7,3,6]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,7,2,6,3,8,5]=>[8,6,4,1,7,2,3,5]=>([(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]
[5,1,7,2,6,3,8,4]=>[8,6,7,5,1,2,3,4]=>([(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]
[5,1,7,2,8,3,6,4]=>[6,8,7,5,1,2,3,4]=>([(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]
[8,1,5,2,7,3,6,4]=>[6,7,5,8,1,2,3,4]=>([(0,1),(0,2),(0,3),(0,4),(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]
[8,1,5,2,6,3,7,4]=>[7,6,5,8,1,2,3,4]=>([(0,1),(0,2),(0,3),(0,4),(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]
[5,1,8,2,6,3,7,4]=>[7,6,8,5,1,2,3,4]=>([(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]
[5,1,6,2,8,3,7,4]=>[7,8,6,5,1,2,3,4]=>([(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]
[3,1,6,2,8,4,7,5]=>[7,3,1,8,6,2,4,5]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,8,2,6,3,7,5]=>[7,6,4,1,8,2,3,5]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,4,2,6,3,7,5]=>[7,4,6,1,8,2,3,5]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,1,4,2,5,3,7,6]=>[5,4,7,1,2,8,3,6]=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)=>[8]
[4,1,8,2,5,3,7,6]=>[5,7,4,1,2,8,3,6]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,1,5,2,8,3,7,6]=>[7,5,4,1,2,8,3,6]=>([(0,1),(0,7),(1,4),(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]
[3,1,5,2,8,4,7,6]=>[7,3,1,5,2,8,4,6]=>([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,1,4,2,8,5,7,6]=>[4,3,1,2,7,8,5,6]=>([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,4]
[4,1,3,2,7,5,8,6]=>[3,4,1,2,8,7,5,6]=>([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,4]
[5,1,4,2,8,3,7,6]=>[7,4,5,1,2,8,3,6]=>([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,3,2,8,4,7,5]=>[3,7,1,8,6,2,4,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,1,3,2,7,4,8,5]=>[3,8,1,7,6,2,4,5]=>([(0,1),(0,7),(1,4),(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]
[5,1,3,2,7,4,8,6]=>[3,8,1,5,2,7,4,6]=>([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,1,3,2,6,4,8,7]=>[3,6,1,5,2,4,8,7]=>([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[5,1,4,2,6,3,8,7]=>[6,4,5,1,2,3,8,7]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[6,1,4,2,7,3,8,5]=>[8,4,7,1,6,2,3,5]=>([(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]
[6,1,5,2,7,3,8,4]=>[8,7,5,6,1,2,3,4]=>([(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]
[6,1,7,2,8,3,5,4]=>[5,8,7,6,1,2,3,4]=>([(0,1),(0,2),(0,3),(0,4),(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]
[5,1,6,2,4,3,8,7]=>[4,6,5,1,2,3,8,7]=>([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[4,2,1,3,7,6,8,5]=>[2,4,1,3,8,7,6,5]=>([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,4]
[8,4,7,3,6,5,1,2]=>[5,1,6,7,8,4,3,2]=>([(0,4),(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]
[8,2,4,1,7,5,6,3]=>[6,4,7,2,8,1,5,3]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)=>[8]
[2,1,8,6,7,3,5,4]=>[2,1,5,7,3,8,6,4]=>([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[2,4,6,3,5,8,1,7]=>[8,2,6,4,3,5,1,7]=>([(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]
[2,6,3,4,7,5,8,1]=>[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]
[4,6,2,3,8,1,5,7]=>[8,6,2,4,3,1,5,7]=>([(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]
[6,2,3,8,4,1,5,7]=>[4,8,2,6,3,1,5,7]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,4,2,3,8,1,5,7]=>[8,4,2,6,3,1,5,7]=>([(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]
[5,1,6,2,8,7,3,4]=>[7,6,5,1,2,3,8,4]=>([(0,4),(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]
[8,3,7,4,2,6,5,1]=>[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]
[6,3,7,4,5,8,2,1]=>[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]
[8,7,4,2,6,5,1,3]=>[5,4,2,6,7,1,8,3]=>([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[6,7,1,8,3,2,5,4]=>[3,5,8,7,1,6,2,4]=>([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[6,2,1,8,4,7,5,3]=>[2,5,7,8,6,1,4,3]=>([(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)],8)=>[8]
[8,2,7,1,5,4,6,3]=>[6,5,7,8,2,1,4,3]=>([(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),(5,6)],8)=>[8]
[7,2,8,1,6,4,5,3]=>[5,6,8,7,2,1,4,3]=>([(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),(5,6)],8)=>[8]
[3,7,2,5,6,4,1,8]=>[4,6,3,7,2,5,1,8]=>([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[5,2,3,4,8,1,6,7]=>[8,5,2,3,4,1,6,7]=>([(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]
[3,1,6,2,5,8,4,7]=>[8,3,1,6,2,5,4,7]=>([(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]
[4,8,2,3,6,7,1,5]=>[7,8,2,4,3,1,6,5]=>([(0,1),(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)],8)=>[8]
[3,7,5,1,8,4,6,2]=>[6,8,3,5,7,1,4,2]=>([(0,3),(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),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,7,5,3,6,4,2,1]=>[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]
[4,8,1,5,7,2,3,6]=>[7,8,1,4,2,5,3,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[1,8,7,2,5,3,4,6]=>[1,5,7,2,3,4,8,6]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)=>[7,1]
[8,2,7,5,4,1,3,6]=>[4,5,2,7,8,1,3,6]=>([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,3,6,2,5,4,1,7]=>[4,5,6,8,3,2,1,7]=>([(0,4),(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]
[6,1,2,7,3,8,5,4]=>[5,1,8,7,6,2,3,4]=>([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,3,8,5,1,6,7]=>[5,4,2,3,8,1,6,7]=>([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,5,3,6,2,4,1]=>[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]
[4,1,6,2,8,5,7,3]=>[7,8,4,1,6,2,5,3]=>([(0,5),(0,6),(0,7),(1,3),(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)],8)=>[8]
[7,1,4,2,3,6,8,5]=>[4,8,1,2,7,3,6,5]=>([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[8]
[7,1,5,2,3,8,6,4]=>[6,5,1,8,2,7,3,4]=>([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[8]
[2,6,5,4,3,8,1,7]=>[8,2,4,5,6,3,1,7]=>([(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]
[5,6,3,7,8,1,2,4]=>[8,1,6,3,5,2,7,4]=>([(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]
[5,7,3,8,6,1,4,2]=>[4,6,8,3,5,7,1,2]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[2,4,8,3,5,6,7,1]=>[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]
[6,4,1,5,7,2,8,3]=>[8,7,4,6,1,5,2,3]=>([(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]
[1,8,2,7,3,6,5,4]=>[1,5,6,7,8,2,3,4]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[7,1]
[8,7,3,6,1,5,4,2]=>[4,5,6,7,3,1,8,2]=>([(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),(6,7)],8)=>[8]
[8,3,7,6,4,2,1,5]=>[2,4,6,7,3,8,1,5]=>([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[8]
[1,7,6,4,3,8,2,5]=>[1,8,4,6,3,7,2,5]=>([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[5,1,4,3,2,7,8,6]=>[3,4,5,1,2,8,7,6]=>([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[5,3]
[4,7,1,6,2,5,3,8]=>[5,6,7,4,1,2,3,8]=>([(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)=>[7,1]
[6,8,2,5,1,7,3,4]=>[7,5,8,2,1,6,3,4]=>([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[8]
[8,2,3,5,7,1,4,6]=>[7,8,2,3,1,5,4,6]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[1,6,5,4,8,2,3,7]=>[1,8,2,5,6,4,3,7]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[5,2,6,3,8,1,4,7]=>[8,6,5,2,3,1,4,7]=>([(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]
[4,1,7,2,3,6,8,5]=>[8,4,1,2,7,3,6,5]=>([(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]
[6,1,8,2,7,3,4,5]=>[7,8,6,1,2,3,4,5]=>([(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),(5,7),(6,7)],8)=>[8]
[1,5,4,2,7,8,3,6]=>[1,8,4,5,2,3,7,6]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[3,1,2,4,7,6,8,5]=>[3,1,2,4,8,7,6,5]=>([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,3,1]
[4,7,1,8,2,5,3,6]=>[5,8,7,4,1,2,3,6]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(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]
[8,4,7,6,2,3,1,5]=>[3,6,2,7,4,8,1,5]=>([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,4,2,3,6,7,5]=>[4,7,1,2,8,3,6,5]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8)=>[8]
[8,3,2,1,7,6,5,4]=>[2,3,5,6,7,8,1,4]=>([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[4,5,6,2,3,8,1,7]=>[8,6,2,4,5,3,1,7]=>([(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]
[2,3,7,6,8,1,5,4]=>[5,2,3,8,1,7,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)=>[8]
[4,3,2,8,7,6,1,5]=>[6,3,4,2,1,7,8,5]=>([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,8,5,4,2,3,6]=>[4,5,1,8,7,2,3,6]=>([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,6,5,2,1,7,3]=>[2,7,5,6,8,4,1,3]=>([(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),(6,7)],8)=>[8]
[5,2,3,4,8,6,1,7]=>[6,5,2,3,4,8,1,7]=>([(0,1),(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]
[1,8,4,3,7,5,6,2]=>[1,6,4,7,8,3,5,2]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[7,6,3,8,4,2,1,5]=>[2,4,8,6,3,7,1,5]=>([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,2,7,1,5,4,3]=>[4,5,7,6,2,8,1,3]=>([(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)],8)=>[8]
[1,3,7,5,6,8,2,4]=>[1,8,3,2,7,5,6,4]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[6,8,5,1,7,4,3,2]=>[3,4,7,5,8,6,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[2,1,8,7,6,3,4,5]=>[2,1,6,3,4,7,8,5]=>([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>[6,2]
[2,5,6,3,4,8,1,7]=>[8,2,6,3,5,4,1,7]=>([(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]
[2,5,6,7,8,4,1,3]=>[4,2,1,8,5,6,7,3]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)=>[8]
[6,4,8,7,5,2,3,1]=>[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]
[6,4,8,2,7,5,3,1]=>[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]
[1,8,4,7,3,6,5,2]=>[1,5,6,7,8,4,3,2]=>([(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)=>[7,1]
[2,8,1,3,7,6,5,4]=>[5,2,1,6,7,8,3,4]=>([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[8,6,3,5,2,7,4,1]=>[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]
[7,2,8,3,4,5,6,1]=>[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]
[7,2,4,5,6,8,3,1]=>[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]
[8,5,1,4,2,3,6,7]=>[4,5,1,2,8,3,6,7]=>([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8)=>[8]
[8,6,1,2,5,3,4,7]=>[5,1,6,2,3,8,4,7]=>([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8)=>[8]
[4,2,8,7,5,3,1,6]=>[3,5,4,2,7,1,8,6]=>([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,5,2,3,8,7,4,6]=>[1,7,2,5,3,4,8,6]=>([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[5,3,1,8,7,2,4,6]=>[7,3,5,1,2,4,8,6]=>([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,7,2,5,8,3,4]=>[8,7,6,1,2,3,5,4]=>([(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]
[5,7,2,3,4,6,8,1]=>[8,7,2,3,5,4,6,1]=>([(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]
[5,2,3,4,6,8,1,7]=>[8,5,2,3,4,6,1,7]=>([(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]
[4,8,1,3,5,6,7,2]=>[7,8,1,4,3,5,6,2]=>([(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)],8)=>[8]
[6,8,2,4,5,1,7,3]=>[7,5,8,2,4,6,1,3]=>([(0,3),(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),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,1,5,8,2,3,4,7]=>[8,6,1,2,3,5,4,7]=>([(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]
[5,4,7,1,2,8,3,6]=>[8,1,7,5,4,2,3,6]=>([(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]
[8,4,7,1,3,2,6,5]=>[3,6,1,7,8,4,2,5]=>([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,3,8,2,4,6,7]=>[8,5,1,3,2,4,6,7]=>([(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]
[8,5,7,6,3,1,4,2]=>[4,3,6,1,7,8,5,2]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,2,8,3,5,1,7,6]=>[5,7,4,2,3,8,1,6]=>([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,3,4,1,8,6,7]=>[4,5,2,3,1,8,6,7]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[5,3]
[1,8,7,2,6,5,4,3]=>[1,4,5,6,7,2,8,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[7,1]
[7,5,1,6,8,2,3,4]=>[8,5,1,2,7,3,6,4]=>([(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]
[3,8,1,6,7,2,4,5]=>[7,8,3,1,2,4,6,5]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[1,7,3,2,8,4,5,6]=>[1,3,8,7,2,4,5,6]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[6,3,5,1,8,2,4,7]=>[8,5,6,3,1,2,4,7]=>([(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]
[2,4,6,1,5,8,3,7]=>[8,2,6,4,1,5,3,7]=>([(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]
[4,6,5,2,8,7,3,1]=>[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]
[7,1,6,2,8,3,4,5]=>[8,6,7,1,2,3,4,5]=>([(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),(5,7),(6,7)],8)=>[8]
[6,1,2,8,3,7,4,5]=>[7,1,8,6,2,3,4,5]=>([(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),(6,7)],8)=>[8]
[7,1,6,8,5,2,3,4]=>[5,8,1,2,7,3,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)=>[8]
[4,8,5,3,2,7,6,1]=>[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]
[8,3,2,7,6,4,1,5]=>[4,3,6,7,2,8,1,5]=>([(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),(6,7)],8)=>[8]
[3,8,4,5,6,7,2,1]=>[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]
[2,5,4,3,8,1,6,7]=>[8,2,4,5,3,1,6,7]=>([(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]
[6,2,5,1,3,7,4,8]=>[7,5,2,6,1,3,4,8]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[5,7,4,1,6,2,8,3]=>[8,6,4,7,5,1,2,3]=>([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(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]
[1,6,8,4,7,5,3,2]=>[1,3,5,7,8,6,4,2]=>([(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)=>[7,1]
[8,4,3,5,7,2,6,1]=>[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]
[8,1,5,3,2,6,7,4]=>[3,7,5,8,1,2,6,4]=>([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,5,7,2,3,8,1,6]=>[8,7,2,4,5,3,1,6]=>([(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]
[7,3,1,5,2,8,4,6]=>[8,3,5,7,1,2,4,6]=>([(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]
[6,4,7,1,8,2,3,5]=>[8,7,1,6,4,2,3,5]=>([(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]
[5,4,2,6,7,1,8,3]=>[8,7,4,5,2,6,1,3]=>([(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]
[5,4,2,8,7,1,3,6]=>[7,4,2,5,1,3,8,6]=>([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,8,1,3,2,6,5,4]=>[3,5,1,6,8,2,7,4]=>([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[6,2,5,1,4,3,8,7]=>[4,5,6,2,1,3,8,7]=>([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,2]
[7,2,6,1,4,3,8,5]=>[4,8,6,2,7,1,3,5]=>([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,5,1,4,3,7,6]=>[4,5,7,2,1,8,3,6]=>([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)=>[8]
[7,2,6,1,5,3,8,4]=>[8,5,6,7,2,1,3,4]=>([(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]
[8,3,7,1,4,2,6,5]=>[4,6,7,3,8,1,2,5]=>([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,1,8,3,7,2,6,4]=>[6,7,8,5,1,3,2,4]=>([(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]
[4,1,8,3,7,2,6,5]=>[6,7,4,1,8,3,2,5]=>([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[7,4,2,5,8,3,6,1]=>[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]
[4,5,6,3,2,8,1,7]=>[8,3,6,4,5,2,1,7]=>([(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]
[7,4,1,5,8,3,6,2]=>[6,8,4,7,1,5,3,2]=>([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,6,7,2,8,4,3,1]=>[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]
[6,4,1,7,2,3,5,8]=>[7,4,1,6,2,3,5,8]=>([(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)=>[7,1]
[6,4,1,8,2,3,5,7]=>[8,4,1,6,2,3,5,7]=>([(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]
[8,4,1,7,2,3,5,6]=>[7,4,1,8,2,3,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[8]
[7,4,1,6,2,3,5,8]=>[6,4,1,7,2,3,5,8]=>([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[7,1]
[3,1,7,6,2,4,5,8]=>[6,3,1,2,4,7,5,8]=>([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[5,1,8,2,7,4,6,3]=>[6,7,8,5,1,2,4,3]=>([(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]
[1,5,8,3,7,4,6,2]=>[1,6,7,8,5,3,4,2]=>([(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)=>[7,1]
[1,7,8,6,3,4,5,2]=>[1,5,6,3,4,8,7,2]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[7,6,1,4,5,8,3,2]=>[3,8,6,1,4,7,5,2]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,1,2,5,6,7,4]=>[3,1,7,8,2,5,6,4]=>([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[4,7,2,6,3,5,1,8]=>[5,6,7,4,2,3,1,8]=>([(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)=>[7,1]
[1,7,5,2,8,3,4,6]=>[1,8,5,2,7,3,4,6]=>([(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)=>[7,1]
[7,1,5,2,8,3,4,6]=>[8,5,7,1,2,3,4,6]=>([(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]
[1,8,5,2,7,3,4,6]=>[1,7,5,2,8,3,4,6]=>([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[7,1]
[8,5,7,2,1,3,4,6]=>[2,7,1,3,8,5,4,6]=>([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[1,4,2,8,7,3,5,6]=>[1,7,4,2,3,5,8,6]=>([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[8,5,1,2,7,3,4,6]=>[7,1,5,2,8,3,4,6]=>([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[8]
[5,1,8,2,7,3,4,6]=>[7,8,5,1,2,3,4,6]=>([(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)],8)=>[8]
[5,7,2,6,1,8,3,4]=>[8,6,7,2,5,1,3,4]=>([(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]
[5,7,2,8,1,6,3,4]=>[6,8,7,2,5,1,3,4]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,6,8,2,7,1,4,5]=>[7,8,3,2,1,6,4,5]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[7,2,6,3,4,5,8,1]=>[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]
[6,2,7,3,4,5,8,1]=>[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]
[1,7,3,8,2,4,5,6]=>[1,8,7,3,2,4,5,6]=>([(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)=>[7,1]
[6,3,7,1,2,8,4,5]=>[8,1,7,6,3,2,4,5]=>([(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]
[8,1,5,3,7,2,4,6]=>[7,5,8,1,3,2,4,6]=>([(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)],8)=>[8]
[8,1,4,3,2,7,5,6]=>[3,4,7,1,8,2,5,6]=>([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8)=>[8]
[6,7,5,3,1,8,4,2]=>[4,3,8,5,7,6,1,2]=>([(0,1),(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)],8)=>[8]
[4,6,1,2,7,5,8,3]=>[8,1,7,4,6,2,5,3]=>([(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]
[5,3,1,2,7,6,8,4]=>[3,1,8,5,2,7,6,4]=>([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,3,1,2,7,6,8,5]=>[3,1,4,2,8,7,6,5]=>([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,4]
[2,3,5,1,7,6,8,4]=>[8,2,3,5,1,7,6,4]=>([(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]
[6,1,4,2,7,5,8,3]=>[8,4,7,1,6,2,5,3]=>([(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]
[1,4,2,3,7,6,8,5]=>[1,4,2,3,8,7,6,5]=>([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,3,1]
[2,4,1,3,7,6,8,5]=>[4,2,1,3,8,7,6,5]=>([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8)=>[4,4]
[6,8,2,3,5,7,1,4]=>[7,8,2,3,1,6,5,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[6,8,2,7,1,3,5,4]=>[5,7,2,8,1,6,3,4]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)=>[8]
[1,6,8,3,4,7,5,2]=>[1,5,7,3,8,6,4,2]=>([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[6,2,4,8,1,7,5,3]=>[5,7,8,2,6,4,1,3]=>([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,7,2,3,1,6,4]=>[3,6,2,7,8,5,1,4]=>([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,7,1,3,2,6,4]=>[3,6,1,7,8,5,2,4]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,7,4,1,6,3,5,2]=>[5,6,4,7,1,3,8,2]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,4,2,6,5,3,1]=>[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]
[8,7,4,2,6,3,5,1]=>[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]
[8,3,1,7,6,5,2,4]=>[5,3,6,1,7,8,2,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8)=>[8]
[8,5,4,2,3,7,1,6]=>[7,4,2,5,8,3,1,6]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,3,5,2,4,1,8,7]=>[4,5,6,3,2,1,8,7]=>([(0,1),(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)=>[6,2]
[8,5,7,3,4,1,6,2]=>[6,4,7,3,8,5,1,2]=>([(0,5),(0,6),(0,7),(1,3),(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)],8)=>[8]
[2,1,8,5,7,4,6,3]=>[2,1,6,7,8,5,4,3]=>([(0,1),(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)=>[6,2]
[4,2,3,1,7,5,8,6]=>[3,4,2,1,8,7,5,6]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)=>[4,4]
[3,1,4,2,8,6,7,5]=>[4,3,1,2,7,8,6,5]=>([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8)=>[4,4]
[8,1,4,6,2,5,3,7]=>[5,6,8,1,4,2,3,7]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)=>[8]
[1,7,6,4,2,8,3,5]=>[1,8,4,6,2,7,3,5]=>([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,7,5,2,6,3,8,4]=>[1,8,6,5,7,2,3,4]=>([(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)=>[7,1]
[1,6,2,7,5,3,8,4]=>[1,8,5,7,6,2,3,4]=>([(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)=>[7,1]
[2,7,6,8,1,3,5,4]=>[5,2,1,8,3,7,6,4]=>([(0,1),(0,5),(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,7,2,1,8,6,3,4]=>[2,6,8,1,5,7,3,4]=>([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[1,4,7,6,2,8,3,5]=>[1,8,6,4,2,7,3,5]=>([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[5,1,4,7,2,8,3,6]=>[8,7,5,1,4,2,3,6]=>([(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]
[5,3,7,1,8,2,4,6]=>[8,7,5,3,1,2,4,6]=>([(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]
[3,2,5,1,8,6,4,7]=>[6,3,2,5,1,8,4,7]=>([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,2,4,1,5,8,6,7]=>[4,3,2,1,5,8,6,7]=>([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[4,3,1]
[3,2,7,1,5,4,8,6]=>[5,3,2,8,1,7,4,6]=>([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8)=>[8]
[6,2,5,3,4,1,8,7]=>[4,5,6,2,3,1,8,7]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[8,3,7,2,4,1,6,5]=>[4,6,7,3,8,2,1,5]=>([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,5,1,3,2,7,6]=>[3,5,1,7,4,8,2,6]=>([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,7,3,4,2,6,5]=>[4,6,7,1,8,3,2,5]=>([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,1,4,3,6,5]=>[4,6,7,2,8,1,3,5]=>([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[8,2,3,1,5,4,7,6]=>[3,5,2,7,1,8,4,6]=>([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)=>[8]
[8,6,7,1,3,2,5,4]=>[3,5,1,7,2,8,6,4]=>([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8)=>[8]
[2,1,8,5,7,3,6,4]=>[2,1,6,7,8,5,3,4]=>([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[6,2]
[3,6,2,8,4,5,7,1]=>[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]
[5,1,3,2,4,8,6,7]=>[3,5,1,2,4,8,6,7]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>[5,3]
[2,8,1,5,3,4,7,6]=>[5,2,7,1,3,8,4,6]=>([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[5,1,2,7,4,8,3,6]=>[8,1,7,5,2,4,3,6]=>([(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]
[8,3,5,1,4,7,2,6]=>[7,5,8,3,1,4,2,6]=>([(0,6),(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)],8)=>[8]
[4,2,8,1,7,6,3,5]=>[6,7,4,2,1,8,3,5]=>([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[2,8,4,7,1,6,5,3]=>[5,2,6,7,8,4,1,3]=>([(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),(6,7)],8)=>[8]
[1,3,8,2,7,6,5,4]=>[1,5,3,6,7,8,2,4]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)=>[7,1]
[2,1,8,3,7,6,5,4]=>[2,1,5,6,7,8,3,4]=>([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[6,2]
[6,2,5,1,8,3,7,4]=>[7,8,5,6,2,1,3,4]=>([(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),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[4,6,2,8,5,7,1,3]=>[7,8,2,4,6,1,5,3]=>([(0,5),(0,6),(0,7),(1,3),(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)],8)=>[8]
[6,1,7,3,4,8,2,5]=>[8,7,6,1,3,4,2,5]=>([(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]
[2,5,4,1,6,7,3,8]=>[7,2,4,5,1,6,3,8]=>([(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)=>[7,1]
[4,8,6,5,3,2,7,1]=>[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]
[8,2,1,5,7,6,3,4]=>[2,6,7,1,3,8,5,4]=>([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,2,5,6,3,7,1,4]=>[7,6,8,2,3,5,1,4]=>([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,4,2,6,5,8,3]=>[8,4,6,1,7,2,5,3]=>([(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]
[4,8,7,2,6,5,3,1]=>[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]
[2,5,6,7,8,3,1,4]=>[3,2,8,1,5,6,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)=>[8]
[6,3,8,1,5,2,4,7]=>[5,8,6,3,1,2,4,7]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,6,2,4,8,3,7]=>[8,6,5,1,2,4,3,7]=>([(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]
[7,1,2,3,5,6,8,4]=>[8,1,2,7,3,5,6,4]=>([(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]
[8,6,3,2,4,7,1,5]=>[7,3,6,2,4,8,1,5]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,1,4,7,2,3,5]=>[7,8,1,2,4,6,3,5]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,1,2,6,7,3,5,4]=>[5,1,7,8,2,3,6,4]=>([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[8]
[8,6,3,1,7,2,4,5]=>[7,3,6,1,2,8,4,5]=>([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,2,4,6,8,5,3]=>[5,1,8,2,7,4,6,3]=>([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)=>[8]
[4,8,1,3,7,2,5,6]=>[7,8,1,4,3,2,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,7,1,3,6,2,5,4]=>[5,6,1,7,3,2,8,4]=>([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[3,6,4,7,5,8,1,2]=>[8,1,3,7,6,4,5,2]=>([(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]
[7,2,1,5,8,6,3,4]=>[2,6,8,1,3,7,5,4]=>([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,7,1,5,2,3,6,4]=>[6,5,1,7,2,3,8,4]=>([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,5,8,4,2,7,3]=>[7,4,8,6,1,5,2,3]=>([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,2,6,5,1,4,7]=>[5,3,6,2,8,1,4,7]=>([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,3,1,6,2,4,5]=>[6,3,7,1,2,4,8,5]=>([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,7,2,1,3,4,6,5]=>[2,6,1,3,7,4,8,5]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8)=>[8]
[6,7,3,1,5,2,8,4]=>[8,3,5,7,1,6,2,4]=>([(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]
[4,7,5,6,8,1,2,3]=>[8,1,2,4,7,5,6,3]=>([(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]
[2,3,1,8,6,5,4,7]=>[3,2,1,5,6,8,4,7]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)=>[5,3]
[7,1,8,4,2,3,5,6]=>[4,8,1,7,2,3,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[8]
[3,4,8,6,1,2,5,7]=>[6,1,3,4,2,8,5,7]=>([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8)=>[8]
[1,7,3,5,8,6,2,4]=>[1,6,8,3,2,7,5,4]=>([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[7,1]
[7,3,5,8,6,1,2,4]=>[6,1,8,3,2,7,5,4]=>([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[2,7,1,5,8,6,3,4]=>[6,2,8,1,3,7,5,4]=>([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[2,4,7,1,8,5,6,3]=>[6,2,8,4,7,1,5,3]=>([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[4,7,5,8,3,1,6,2]=>[6,3,8,4,7,5,1,2]=>([(0,5),(0,6),(0,7),(1,3),(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)],8)=>[8]
[7,3,5,8,6,2,1,4]=>[2,6,8,3,1,7,5,4]=>([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)=>[8]
[1,2,7,6,8,3,5,4]=>[1,2,5,8,3,7,6,4]=>([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[6,7,4,1,8,5,3,2]=>[3,5,4,8,7,6,1,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[7,1,4,2,8,5,6,3]=>[6,4,8,1,7,2,5,3]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)=>[8]
[7,2,6,8,5,4,1,3]=>[4,5,2,8,7,1,6,3]=>([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[2,7,6,8,3,1,5,4]=>[3,2,5,8,1,7,6,4]=>([(0,1),(0,5),(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,7,3,1,8,5,4,2]=>[4,3,5,8,7,6,1,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[6,7,1,8,5,4,3,2]=>[3,4,5,8,7,6,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[1,4,3,8,2,6,5,7]=>[1,6,4,3,8,2,5,7]=>([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)=>[7,1]
[6,2,8,7,4,3,5,1]=>[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]
[7,4,1,8,5,2,6,3]=>[6,5,4,8,7,1,2,3]=>([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[8]
[6,2,7,5,1,8,3,4]=>[8,5,7,2,6,1,3,4]=>([(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]
[5,7,8,6,4,1,2,3]=>[4,1,2,6,5,8,7,3]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)=>[8]
[6,7,4,1,5,2,8,3]=>[8,5,4,7,1,6,2,3]=>([(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]
[4,7,3,6,5,8,1,2]=>[8,1,6,4,7,3,5,2]=>([(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]
[7,6,2,8,4,1,5,3]=>[5,4,8,6,2,7,1,3]=>([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)=>[8]
[7,1,4,5,8,2,3,6]=>[8,7,1,2,4,5,3,6]=>([(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]
[7,3,8,1,2,4,6,5]=>[6,1,8,3,7,2,4,5]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)=>[8]
[6,8,3,1,2,7,4,5]=>[3,1,7,8,2,6,4,5]=>([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[1,3,6,5,2,7,8,4]=>[1,8,3,5,6,2,7,4]=>([(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)=>[7,1]
[8,2,7,3,4,5,6,1]=>[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]
[2,8,7,3,4,5,6,1]=>[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]
[6,3,7,4,5,8,1,2]=>[8,1,7,6,3,4,5,2]=>([(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]
[2,3,4,5,8,6,1,7]=>[6,2,3,4,5,8,1,7]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,3,2,1,4,7,8,6]=>[2,3,5,1,4,8,7,6]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)=>[5,3]
[5,3,1,2,4,7,8,6]=>[3,1,5,2,4,8,7,6]=>([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8)=>[5,3]
[7,3,4,5,8,1,2,6]=>[8,1,7,3,4,5,2,6]=>([(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]
[2,7,3,1,4,8,5,6]=>[3,2,8,1,7,4,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)=>[8]
[2,1,8,3,7,4,5,6]=>[2,1,7,8,3,4,5,6]=>([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[6,2]
[4,5,8,3,6,7,1,2]=>[7,1,8,4,5,3,6,2]=>([(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),(6,7)],8)=>[8]
[4,2,8,3,7,1,6,5]=>[6,7,4,2,8,3,1,5]=>([(0,1),(0,5),(0,6),(1,4),(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]
[3,6,7,4,5,8,2,1]=>[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]
[3,8,1,5,4,2,7,6]=>[4,5,3,7,1,8,2,6]=>([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)=>[8]
[2,3,1,8,6,4,5,7]=>[3,2,1,6,4,8,5,7]=>([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8)=>[5,3]
[3,4,8,7,5,2,6,1]=>[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]
[5,1,8,6,2,3,4,7]=>[6,5,1,2,3,8,4,7]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[8,6,1,4,7,3,2,5]=>[3,7,6,1,4,8,2,5]=>([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,1,8,5,4,6,7]=>[3,2,1,5,8,4,6,7]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)=>[5,3]
[7,3,6,4,8,1,2,5]=>[8,1,6,7,3,4,2,5]=>([(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]
[8,3,6,4,7,1,2,5]=>[7,1,6,8,3,4,2,5]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[4,1,8,5,2,3,6,7]=>[5,4,1,2,8,3,6,7]=>([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,1,5,3,4,6]=>[5,7,8,2,1,3,4,6]=>([(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)],8)=>[8]
[8,3,1,5,4,6,7,2]=>[7,3,5,8,1,4,6,2]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[1,4,8,3,6,7,5,2]=>[1,5,7,4,8,3,6,2]=>([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[3,8,2,5,6,7,1,4]=>[7,8,3,2,1,5,6,4]=>([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[3,6,7,5,2,4,1,8]=>[4,5,3,2,7,6,1,8]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[8,3,7,6,1,4,5,2]=>[5,6,7,3,1,8,4,2]=>([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[7,4,6,1,2,8,3,5]=>[8,1,6,7,4,2,3,5]=>([(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]
[6,7,3,2,1,4,8,5]=>[2,3,8,1,7,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,2,4,5,8,7,3,1]=>[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]
[8,6,7,2,4,5,3,1]=>[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]
[6,4,8,7,2,5,3,1]=>[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]
[4,6,2,8,1,3,7,5]=>[7,8,2,4,6,1,3,5]=>([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[5,1,2,4,3,8,7,6]=>[4,1,5,2,3,7,8,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>[5,3]
[5,1,3,2,4,8,7,6]=>[3,5,1,2,4,7,8,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>[5,3]
[3,8,2,5,4,6,7,1]=>[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]
[8,1,7,2,4,5,3,6]=>[5,7,8,1,2,4,3,6]=>([(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)],8)=>[8]
[5,7,1,6,2,3,8,4]=>[8,6,1,7,5,2,3,4]=>([(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]
[4,2,8,1,6,7,3,5]=>[7,8,4,2,1,3,6,5]=>([(0,1),(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)],8)=>[8]
[6,1,3,7,4,8,2,5]=>[8,7,1,6,3,4,2,5]=>([(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]
[7,1,6,4,8,2,3,5]=>[8,6,1,7,2,4,3,5]=>([(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),(5,7),(6,7)],8)=>[8]
[7,1,4,6,5,3,2,8]=>[3,5,6,1,7,4,2,8]=>([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)=>[7,1]
[5,8,1,6,3,4,2,7]=>[4,6,8,1,5,3,2,7]=>([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,3,1,4,8,2,5]=>[8,3,7,1,4,6,2,5]=>([(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]
[5,2,6,1,8,3,4,7]=>[8,6,5,2,1,3,4,7]=>([(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]
[3,2,1,8,4,6,5,7]=>[2,3,1,6,8,4,5,7]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>[5,3]
[5,2,7,1,8,3,4,6]=>[8,7,5,2,1,3,4,6]=>([(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]
[3,2,1,8,4,5,7,6]=>[2,3,1,7,4,8,5,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>[5,3]
[6,7,1,2,4,5,8,3]=>[8,1,7,2,4,6,5,3]=>([(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]
[6,5,3,4,2,8,1,7]=>[8,4,5,3,6,2,1,7]=>([(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]
[3,5,2,4,1,8,6,7]=>[4,5,3,2,1,8,6,7]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[5,3]
[5,8,1,6,7,2,3,4]=>[7,8,1,2,5,3,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[6,5,7,1,8,2,3,4]=>[8,7,1,2,6,5,3,4]=>([(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]
[5,7,3,4,6,8,1,2]=>[8,1,7,3,5,4,6,2]=>([(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]
[7,3,4,1,8,6,5,2]=>[5,4,6,3,8,7,1,2]=>([(0,1),(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)],8)=>[8]
[7,1,8,2,3,5,6,4]=>[6,8,1,7,2,3,5,4]=>([(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)],8)=>[8]
[8,3,7,4,5,1,6,2]=>[6,5,7,8,3,4,1,2]=>([(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),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,7,5,1,6,2,3,4]=>[6,5,1,2,7,3,8,4]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,4,1,5,6,3]=>[6,4,7,8,2,1,5,3]=>([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,2,7,3,6,4,5]=>[6,1,7,8,2,3,4,5]=>([(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)],8)=>[8]
[8,1,7,2,6,3,4,5]=>[6,7,8,1,2,3,4,5]=>([(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)],8)=>[8]
[8,1,7,2,3,6,4,5]=>[6,7,1,8,2,3,4,5]=>([(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)],8)=>[8]
[6,7,3,5,4,8,1,2]=>[8,1,5,7,3,6,4,2]=>([(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]
[1,5,7,2,8,3,6,4]=>[1,6,8,7,5,2,3,4]=>([(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)=>[7,1]
[1,7,4,8,6,2,5,3]=>[1,5,6,8,4,7,2,3]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[6,1,2,4,7,3,8,5]=>[8,1,7,2,6,4,3,5]=>([(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]
[4,1,7,8,6,2,3,5]=>[6,4,1,2,3,8,7,5]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8)=>[8]
[6,1,2,3,5,7,4,8]=>[7,1,2,6,3,5,4,8]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[5,8,4,1,7,6,3,2]=>[3,6,4,7,5,8,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[7,5,4,1,8,6,3,2]=>[3,6,4,5,8,7,1,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[5,1,4,2,3,7,8,6]=>[4,5,1,2,3,8,7,6]=>([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[5,3]
[6,4,2,7,8,5,1,3]=>[5,4,2,8,6,1,7,3]=>([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,3,6,5,2,1,7,4]=>[2,7,5,6,8,3,1,4]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[5,4,2,8,1,3,7,6]=>[7,4,2,5,1,8,3,6]=>([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[6,3,8,5,2,7,1,4]=>[7,5,8,3,6,2,1,4]=>([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,8,6,3,1,4,5,7]=>[3,2,6,1,4,8,5,7]=>([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8)=>[8]
[8,5,1,7,6,2,3,4]=>[6,5,1,2,7,8,3,4]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,5,1,7,2,8,3,4]=>[8,7,5,1,6,2,3,4]=>([(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]
[6,8,5,7,4,1,2,3]=>[4,1,2,7,8,6,5,3]=>([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,4,1,7,2,8,6,3]=>[6,8,4,5,1,7,2,3]=>([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[3,1,2,6,8,4,7,5]=>[3,1,2,7,8,6,4,5]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[5,3]
[2,8,1,6,3,4,7,5]=>[7,2,6,1,8,3,4,5]=>([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,3,1,2,4,6,8,5]=>[3,1,8,2,7,4,6,5]=>([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,4,8,5,2,1,3]=>[2,5,1,8,6,7,4,3]=>([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[3,4,8,6,5,2,7,1]=>[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]
[6,1,4,8,2,3,5,7]=>[8,6,1,2,4,3,5,7]=>([(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]
[3,5,7,1,8,4,6,2]=>[6,8,3,7,5,1,4,2]=>([(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,8,1,7,3,4,6]=>[7,8,5,2,1,3,4,6]=>([(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)],8)=>[8]
[6,1,3,4,8,2,5,7]=>[8,6,1,3,4,2,5,7]=>([(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]
[7,8,3,2,6,1,4,5]=>[6,3,8,2,1,4,7,5]=>([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[1,8,7,5,3,2,4,6]=>[1,3,5,2,7,4,8,6]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)=>[7,1]
[2,6,5,4,7,1,3,8]=>[7,2,1,5,6,4,3,8]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[2,8,7,5,4,6,1,3]=>[6,2,1,5,7,4,8,3]=>([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,3,1,8,7,5,4,6]=>[3,2,1,5,7,4,8,6]=>([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8)=>[5,3]
[2,4,5,1,3,8,7,6]=>[5,2,1,4,3,7,8,6]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)=>[5,3]
[8,5,1,3,7,4,2,6]=>[4,7,1,5,8,3,2,6]=>([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[5,2,6,3,4,7,1,8]=>[7,6,5,2,3,4,1,8]=>([(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)=>[7,1]
[4,2,8,3,7,5,6,1]=>[6,7,4,2,8,3,5,1]=>([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(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]
[4,3,7,8,5,6,2,1]=>[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]
[1,8,3,5,7,4,6,2]=>[1,6,7,8,3,5,4,2]=>([(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)=>[7,1]
[4,2,7,1,3,8,5,6]=>[8,4,2,1,7,3,5,6]=>([(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]
[5,1,2,8,6,3,4,7]=>[6,1,5,2,3,8,4,7]=>([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[6,8,1,3,7,4,5,2]=>[5,7,1,8,3,6,4,2]=>([(0,4),(0,6),(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]
[5,8,3,7,4,1,6,2]=>[6,4,7,8,5,3,1,2]=>([(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]
[7,6,3,1,5,2,8,4]=>[8,3,5,6,1,7,2,4]=>([(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]
[3,5,7,2,6,4,1,8]=>[4,6,3,7,5,2,1,8]=>([(1,5),(1,6),(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)=>[7,1]
[3,7,5,4,1,8,6,2]=>[6,4,3,5,8,7,1,2]=>([(0,1),(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)],8)=>[8]
[3,5,7,1,2,6,8,4]=>[8,1,3,7,5,2,6,4]=>([(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]
[5,8,3,4,1,7,6,2]=>[6,4,7,3,5,8,1,2]=>([(0,6),(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)],8)=>[8]
[3,8,6,4,1,7,5,2]=>[5,4,3,7,6,8,1,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[3,8,4,1,7,6,5,2]=>[5,4,3,6,7,8,1,2]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[7,2,4,1,8,3,6,5]=>[6,4,8,2,7,1,3,5]=>([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)=>[8]
[3,5,7,1,8,2,6,4]=>[6,8,3,7,5,1,2,4]=>([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)=>[8]
[4,6,2,3,5,8,1,7]=>[8,6,2,4,3,5,1,7]=>([(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]
[1,8,2,7,6,4,3,5]=>[1,4,6,7,2,8,3,5]=>([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[7,1]
[1,3,7,6,5,8,2,4]=>[1,8,3,2,6,7,5,4]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[1,5,8,4,7,3,6,2]=>[1,6,7,8,5,4,3,2]=>([(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)=>[7,1]
[2,6,4,1,7,8,3,5]=>[8,2,4,6,1,3,7,5]=>([(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]
[8,6,2,3,5,1,4,7]=>[5,6,2,3,1,8,4,7]=>([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[8,2,7,4,3,1,5,6]=>[3,4,7,8,2,1,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,5,2,7,6,4,3]=>[4,6,5,7,1,8,2,3]=>([(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)],8)=>[8]
[7,2,6,3,4,5,1,8]=>[5,6,7,2,3,4,1,8]=>([(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)=>[7,1]
[8,1,7,4,2,3,5,6]=>[4,7,1,8,2,3,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[8]
[3,2,8,1,5,7,6,4]=>[6,3,2,7,1,8,5,4]=>([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,4,5,7,2,3,8]=>[7,6,1,2,4,5,3,8]=>([(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)=>[7,1]
[7,8,6,1,5,2,3,4]=>[5,6,1,2,3,8,7,4]=>([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[5,4,1,3,2,8,6,7]=>[3,4,1,5,2,8,6,7]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>[5,3]
[6,1,7,4,2,8,5,3]=>[5,4,8,7,6,1,2,3]=>([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[8]
[4,8,7,3,1,6,2,5]=>[6,3,7,4,1,2,8,5]=>([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[2,6,5,4,1,8,3,7]=>[8,2,4,5,6,1,3,7]=>([(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]
[3,8,4,5,1,6,7,2]=>[7,5,3,8,4,1,6,2]=>([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,4,1,3,6,7,2]=>[7,4,1,5,8,3,6,2]=>([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,7,6,5,3,1,2]=>[3,1,5,6,7,8,4,2]=>([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[2,4,1,8,5,7,6,3]=>[6,2,4,1,7,8,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,3,1,6,5,4]=>[3,5,6,7,8,2,1,4]=>([(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),(6,7)],8)=>[8]
[1,8,4,2,3,7,6,5]=>[1,4,2,6,7,8,3,5]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)=>[7,1]
[2,3,1,8,7,6,4,5]=>[3,2,1,6,4,7,8,5]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8)=>[5,3]
[8,2,7,5,6,4,1,3]=>[4,6,2,7,8,1,5,3]=>([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8)=>[8]
[8,4,7,6,5,1,2,3]=>[5,1,2,6,7,8,4,3]=>([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,4,7,2,1,6,5,3]=>[2,5,6,7,8,4,1,3]=>([(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),(6,7)],8)=>[8]
[1,8,4,7,6,5,2,3]=>[1,5,2,6,7,8,4,3]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[8,2,5,7,1,4,6,3]=>[6,7,8,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[8]
[7,1,8,4,2,5,6,3]=>[6,4,8,7,1,2,5,3]=>([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,6,3,8,2,4,7]=>[8,6,5,1,3,2,4,7]=>([(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]
[6,3,8,5,4,7,2,1]=>[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]
[1,5,2,8,6,3,4,7]=>[1,6,5,2,3,8,4,7]=>([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[7,1]
[3,6,7,1,8,2,5,4]=>[5,8,3,7,1,6,2,4]=>([(0,1),(0,2),(0,3),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,3,1,6,2,5,4]=>[5,3,6,7,1,2,8,4]=>([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[8]
[8,7,2,6,5,1,3,4]=>[5,6,2,1,7,3,8,4]=>([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[4,8,5,6,7,3,1,2]=>[3,1,7,4,8,5,6,2]=>([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,5,8,6,3,7,2,1]=>[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]
[3,6,8,2,7,1,5,4]=>[5,7,3,8,2,6,1,4]=>([(0,1),(0,2),(0,3),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[4,7,1,8,6,5,3,2]=>[3,5,6,4,8,7,1,2]=>([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,4,1,6,5,2,3,7]=>[5,4,1,6,8,2,3,7]=>([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[7,3,6,2,5,4,1,8]=>[4,5,6,7,3,2,1,8]=>([(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)=>[7,1]
[8,3,7,2,5,4,1,6]=>[4,5,7,8,3,2,1,6]=>([(0,3),(0,4),(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]
[8,3,7,2,6,4,1,5]=>[4,6,7,8,3,2,1,5]=>([(0,2),(0,3),(0,4),(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]
[8,1,4,5,3,2,7,6]=>[3,5,7,1,4,8,2,6]=>([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[7,5,8,1,6,4,2,3]=>[4,6,1,8,7,5,2,3]=>([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,2,7,3,1,5,4,6]=>[3,5,7,8,2,1,4,6]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[5,1,7,8,6,2,3,4]=>[6,5,1,2,3,8,7,4]=>([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[8,5,1,6,7,2,3,4]=>[7,5,1,2,8,3,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,3,6,4,5,7,2]=>[1,7,6,8,3,4,5,2]=>([(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)=>[7,1]
[7,1,6,2,5,3,4,8]=>[5,6,7,1,2,3,4,8]=>([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[7,1]
[8,1,7,2,5,3,4,6]=>[5,7,8,1,2,3,4,6]=>([(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)],8)=>[8]
[8,1,6,7,5,2,3,4]=>[5,7,1,2,8,3,6,4]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8)=>[8]
[8,1,6,4,2,3,5,7]=>[4,6,1,8,2,3,5,7]=>([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)=>[8]
[8,3,1,2,4,6,7,5]=>[3,1,7,2,8,4,6,5]=>([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,8,2,5,3,4,6]=>[5,8,7,1,2,3,4,6]=>([(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),(6,7)],8)=>[8]
[5,1,7,2,6,3,4,8]=>[6,7,5,1,2,3,4,8]=>([(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)=>[7,1]
[1,6,3,8,4,5,7,2]=>[1,7,8,6,3,4,5,2]=>([(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)=>[7,1]
[7,6,1,4,2,3,5,8]=>[4,6,1,2,3,7,5,8]=>([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8)=>[7,1]
[8,3,7,6,4,5,1,2]=>[5,1,6,7,3,8,4,2]=>([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,7,5,3,8,4,2,1]=>[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]
[7,1,3,6,4,5,8,2]=>[8,6,1,7,3,4,5,2]=>([(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]
[6,5,1,4,2,7,8,3]=>[8,4,5,1,6,2,7,3]=>([(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]
[8,6,3,5,4,1,2,7]=>[4,1,5,6,3,8,2,7]=>([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,6,4,1,5,3]=>[5,4,6,7,2,8,1,3]=>([(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)],8)=>[8]
[8,2,5,7,4,3,6,1]=>[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]
[1,6,7,4,2,8,3,5]=>[1,8,4,7,2,6,3,5]=>([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[8,1,5,2,3,7,6,4]=>[6,5,1,7,2,8,3,4]=>([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[2,7,5,6,4,3,8,1]=>[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]
[5,8,2,7,1,3,6,4]=>[6,7,2,8,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,6,7,2,5,3,1,4]=>[3,5,7,2,1,8,6,4]=>([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8)=>[8]
[8,6,1,5,2,3,4,7]=>[5,6,1,2,3,8,4,7]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)=>[8]
[2,4,5,3,1,8,6,7]=>[3,2,5,4,1,8,6,7]=>([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8)=>[5,3]
[8,3,1,2,4,6,5,7]=>[3,1,6,2,8,4,5,7]=>([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8)=>[8]
[6,7,8,5,1,2,4,3]=>[4,1,5,2,8,6,7,3]=>([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)=>[8]
[7,8,3,4,6,5,2,1]=>[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]
[8,7,3,6,5,2,4,1]=>[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]
[2,8,7,4,6,3,5,1]=>[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]
[3,4,7,6,1,2,5,8]=>[6,1,3,4,2,7,5,8]=>([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[1,5,3,8,2,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
[8,6,2,4,5,3,1,7]=>[3,5,6,2,4,8,1,7]=>([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8)=>[7,1]
[3,2,1,6,7,4,8,5]=>[2,3,1,8,7,6,4,5]=>([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[5,3]
[3,8,5,7,4,6,2,1]=>[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]
[7,6,3,2,5,1,8,4]=>[8,3,5,6,2,7,1,4]=>([(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]
[8,4,7,6,5,2,1,3]=>[2,5,1,6,7,8,4,3]=>([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[7,2,8,4,1,3,5,6]=>[4,8,2,7,1,3,5,6]=>([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,7,5,3,4,1,6]=>[4,5,7,2,8,3,1,6]=>([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,1,2,4,5,6,8,3]=>[8,1,7,2,4,5,6,3]=>([(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]
[5,4,6,1,3,2,7,8]=>[3,6,1,5,4,2,7,8]=>([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[8,1,7,3,5,2,4,6]=>[5,7,8,1,3,2,4,6]=>([(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)],8)=>[8]
[1,7,2,4,5,6,8,3]=>[1,8,7,2,4,5,6,3]=>([(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)=>[7,1]
[6,8,7,2,3,4,5,1]=>[5,7,2,3,4,6,8,1]=>([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[2,6,7,3,4,5,1,8]=>[5,2,7,3,4,6,1,8]=>([(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)=>[7,1]
[6,2,7,3,4,5,1,8]=>[5,7,6,2,3,4,1,8]=>([(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)=>[7,1]
[6,2,8,3,5,1,4,7]=>[5,8,6,2,3,1,4,7]=>([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[8,2,6,3,5,1,4,7]=>[5,6,8,2,3,1,4,7]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)=>[8]
[5,2,6,8,3,7,1,4]=>[7,8,5,2,3,6,1,4]=>([(0,1),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(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]
[3,4,1,8,7,6,2,5]=>[6,4,3,1,2,7,8,5]=>([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,7,1,4,6,3,2,5]=>[3,6,7,1,4,2,8,5]=>([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)=>[8]
[5,8,2,7,4,6,3,1]=>[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]
[3,1,2,8,4,5,7,6]=>[3,1,2,7,4,8,5,6]=>([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8)=>[5,3]
[5,1,6,4,8,2,3,7]=>[8,6,1,5,2,4,3,7]=>([(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]
[6,5,2,7,4,3,1,8]=>[3,4,7,5,6,2,1,8]=>([(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)=>[7,1]
[6,3,7,5,1,4,8,2]=>[8,5,7,3,6,1,4,2]=>([(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]
[3,1,8,2,6,5,4,7]=>[5,3,1,6,8,2,4,7]=>([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[7,5,1,8,4,6,3,2]=>[3,6,8,5,7,1,4,2]=>([(0,6),(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)],8)=>[8]
[1,2,5,4,8,3,7,6]=>[1,2,7,5,4,8,3,6]=>([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[3,6,5,4,8,1,2,7]=>[8,1,3,5,6,4,2,7]=>([(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]
[7,1,6,3,2,4,8,5]=>[3,8,6,1,7,2,4,5]=>([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,4,3,7,5,6,2]=>[6,4,7,1,8,3,5,2]=>([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,7,6,2,4,5,1]=>[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]
[8,1,2,7,6,4,5,3]=>[5,1,6,7,2,8,4,3]=>([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)=>[8]
[8,1,5,7,3,6,4,2]=>[4,6,7,8,1,5,3,2]=>([(0,4),(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),(5,6),(5,7),(6,7)],8)=>[8]
[1,8,4,2,3,7,5,6]=>[1,4,2,7,8,3,5,6]=>([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[5,6,8,2,4,7,1,3]=>[7,8,2,1,5,6,4,3]=>([(0,1),(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)],8)=>[8]
[5,7,1,4,6,8,2,3]=>[8,7,1,2,5,4,6,3]=>([(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]
[5,6,2,8,1,7,3,4]=>[7,8,6,2,5,1,3,4]=>([(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]
[3,4,5,8,6,2,7,1]=>[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]
[6,8,5,1,7,4,2,3]=>[4,7,1,5,8,6,2,3]=>([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[4,5,7,2,6,8,1,3]=>[8,7,2,4,5,1,6,3]=>([(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]
[4,6,5,3,7,8,1,2]=>[8,1,5,4,6,3,7,2]=>([(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]
[6,7,4,1,8,2,5,3]=>[5,8,4,7,1,6,2,3]=>([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[8,3,7,2,6,5,1,4]=>[5,6,7,3,8,2,1,4]=>([(0,4),(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),(5,6),(5,7),(6,7)],8)=>[8]
[4,3,1,6,7,2,5,8]=>[7,3,4,1,2,6,5,8]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[2,8,4,6,3,1,5,7]=>[3,2,6,8,4,1,5,7]=>([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[1,7,4,5,6,8,2,3]=>[1,8,2,7,4,5,6,3]=>([(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)=>[7,1]
[8,3,7,5,4,2,6,1]=>[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]
[1,3,7,6,2,4,8,5]=>[1,8,3,2,6,7,4,5]=>([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)=>[7,1]
[6,1,5,2,8,7,4,3]=>[4,7,5,6,1,2,8,3]=>([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8)=>[8]
[6,2,7,3,8,1,4,5]=>[8,7,6,2,3,1,4,5]=>([(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]
[8,7,1,3,2,4,6,5]=>[3,6,1,2,7,4,8,5]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)=>[8]
[6,4,5,3,1,8,7,2]=>[7,3,5,6,4,1,8,2]=>([(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),(6,7)],8)=>[8]
[4,2,5,3,6,7,8,1]=>[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]
[7,2,5,3,4,6,1,8]=>[6,5,7,2,3,4,1,8]=>([(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)=>[7,1]
[7,1,2,6,3,4,5,8]=>[6,1,7,2,3,4,5,8]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>[7,1]
[7,1,3,8,2,6,4,5]=>[6,8,1,7,3,2,4,5]=>([(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),(5,7)],8)=>[8]
[8,1,4,6,7,2,5,3]=>[5,7,8,1,4,2,6,3]=>([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8)=>[8]
[8,2,1,6,7,4,5,3]=>[2,5,7,8,1,4,6,3]=>([(0,6),(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)],8)=>[8]
[1,2,8,6,7,5,4,3]=>[1,2,4,5,7,8,6,3]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[6,1,1]
[8,4,6,5,2,7,3,1]=>[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]
[8,1,4,7,6,5,2,3]=>[5,6,1,2,7,8,4,3]=>([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[6,1,5,7,2,8,3,4]=>[8,7,6,1,2,5,3,4]=>([(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]
[8,4,7,1,5,2,6,3]=>[6,5,7,8,4,1,2,3]=>([(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]
[6,5,3,4,1,8,2,7]=>[8,4,5,3,6,1,2,7]=>([(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]
[8,7,2,3,1,6,4,5]=>[3,6,2,7,1,4,8,5]=>([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)=>[8]
[5,7,3,6,4,2,1,8]=>[2,4,6,7,5,3,1,8]=>([(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)=>[7,1]
[8,4,1,3,2,6,5,7]=>[3,4,1,6,8,2,5,7]=>([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)=>[8]
[8,3,5,1,7,6,4,2]=>[4,6,5,7,3,8,1,2]=>([(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)],8)=>[8]
[6,1,7,3,8,2,4,5]=>[8,7,6,1,3,2,4,5]=>([(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]
[8,1,3,2,7,5,4,6]=>[3,5,1,7,8,2,4,6]=>([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)=>[8]
[8,2,7,4,5,3,1,6]=>[3,5,7,8,2,4,1,6]=>([(0,4),(0,5),(1,6),(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]
[8,4,6,7,5,3,1,2]=>[3,1,5,7,8,4,6,2]=>([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[8]
[7,6,4,2,5,3,1,8]=>[3,5,4,6,2,7,1,8]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)=>[7,1]
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
- $des$ is the number of descents, St000021The number of descents of a permutation.,
- $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
- $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
- $Ebot$ is the sum of the excedance bottoms,
- $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
- $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
- $Res$ is the sum of the (right) embracing numbers,
- $Ine$ is the sum of the side numbers.
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.
searching the database
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