Identifier
-
Mp00159:
Permutations
—Demazure product with inverse⟶
Permutations
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
St000771: Graphs ⟶ ℤ
Values
=>
Cc0020;cc-rep
[1]=>[1]=>[1]=>([],1)=>1
[1,2]=>[1,2]=>[2,1]=>([(0,1)],2)=>1
[1,2,3]=>[1,2,3]=>[2,3,1]=>([(0,2),(1,2)],3)=>1
[2,1,3]=>[2,1,3]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>2
[1,2,3,4]=>[1,2,3,4]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>2
[1,3,2,4]=>[1,3,2,4]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>1
[2,1,3,4]=>[2,1,3,4]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>1
[2,3,1,4]=>[3,2,1,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>3
[2,4,1,3]=>[3,4,1,2]=>[4,1,2,3]=>([(0,3),(1,3),(2,3)],4)=>2
[3,1,2,4]=>[3,2,1,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>3
[3,2,1,4]=>[3,2,1,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>3
[1,2,3,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>3
[1,2,4,3,5]=>[1,2,4,3,5]=>[2,3,5,4,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>2
[1,3,2,4,5]=>[1,3,2,4,5]=>[2,4,3,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>2
[1,3,4,2,5]=>[1,4,3,2,5]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[1,3,5,2,4]=>[1,4,5,2,3]=>[2,5,1,3,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>1
[1,4,2,3,5]=>[1,4,3,2,5]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[1,4,3,2,5]=>[1,4,3,2,5]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,1,3,4,5]=>[2,1,3,4,5]=>[3,2,4,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,1,4,3,5]=>[2,1,4,3,5]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,4,5]=>[3,2,1,4,5]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,3,4,1,5]=>[4,2,3,1,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[2,3,5,1,4]=>[4,2,5,1,3]=>[5,3,1,2,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[2,4,1,3,5]=>[3,4,1,2,5]=>[4,5,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>2
[2,4,1,5,3]=>[3,5,1,4,2]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5)=>1
[2,4,3,1,5]=>[4,3,2,1,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[2,4,5,1,3]=>[4,5,3,1,2]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[2,5,1,3,4]=>[3,5,1,4,2]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5)=>1
[2,5,1,4,3]=>[3,5,1,4,2]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5)=>1
[2,5,3,1,4]=>[4,5,3,1,2]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[2,5,4,1,3]=>[4,5,3,1,2]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[3,1,2,4,5]=>[3,2,1,4,5]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,1,4,2,5]=>[4,2,3,1,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[3,1,5,2,4]=>[4,2,5,1,3]=>[5,3,1,2,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[3,2,1,4,5]=>[3,2,1,4,5]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,2,4,1,5]=>[4,2,3,1,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[3,2,5,1,4]=>[4,2,5,1,3]=>[5,3,1,2,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[3,4,1,2,5]=>[4,3,2,1,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,4,2,1,5]=>[4,3,2,1,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,5,1,2,4]=>[4,5,3,1,2]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[3,5,2,1,4]=>[4,5,3,1,2]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[4,1,2,3,5]=>[4,2,3,1,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[4,1,3,2,5]=>[4,2,3,1,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[4,2,1,3,5]=>[4,3,2,1,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,2,3,1,5]=>[4,3,2,1,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,3,1,2,5]=>[4,3,2,1,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,3,2,1,5]=>[4,3,2,1,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>4
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[1,2,4,6,3,5]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>2
[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[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)=>2
[1,3,4,6,2,5]=>[1,5,3,6,2,4]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[1,3,5,2,4,6]=>[1,4,5,2,3,6]=>[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)=>2
[1,3,5,2,6,4]=>[1,4,6,2,5,3]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,3,5,4,2,6]=>[1,5,4,3,2,6]=>[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)=>3
[1,3,5,6,2,4]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[1,3,6,2,4,5]=>[1,4,6,2,5,3]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,3,6,2,5,4]=>[1,4,6,2,5,3]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>1
[1,3,6,4,2,5]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[1,3,6,5,2,4]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[1,4,2,5,3,6]=>[1,5,3,4,2,6]=>[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)=>2
[1,4,2,6,3,5]=>[1,5,3,6,2,4]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[1,4,3,5,2,6]=>[1,5,3,4,2,6]=>[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)=>2
[1,4,3,6,2,5]=>[1,5,3,6,2,4]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[1,4,5,2,3,6]=>[1,5,4,3,2,6]=>[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)=>3
[1,4,5,3,2,6]=>[1,5,4,3,2,6]=>[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)=>3
[1,4,6,2,3,5]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[1,4,6,3,2,5]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[1,5,2,3,4,6]=>[1,5,3,4,2,6]=>[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)=>2
[1,5,2,4,3,6]=>[1,5,3,4,2,6]=>[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)=>2
[1,5,3,2,4,6]=>[1,5,4,3,2,6]=>[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)=>3
[1,5,3,4,2,6]=>[1,5,4,3,2,6]=>[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)=>3
[1,5,4,2,3,6]=>[1,5,4,3,2,6]=>[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)=>3
[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[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)=>3
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>2
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[3,2,5,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>2
[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[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)=>2
[2,1,4,6,3,5]=>[2,1,5,6,3,4]=>[3,2,6,1,4,5]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>1
[2,1,5,3,4,6]=>[2,1,5,4,3,6]=>[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)=>2
[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[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)=>2
[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[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)=>2
[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[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)=>2
[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,4,6,1,5]=>[5,2,3,6,1,4]=>[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)=>2
[2,3,5,1,4,6]=>[4,2,5,1,3,6]=>[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)=>1
[2,3,5,1,6,4]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[2,3,5,4,1,6]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,5,6,1,4]=>[5,2,6,4,1,3]=>[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)=>1
[2,3,6,1,4,5]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[2,3,6,1,5,4]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[2,3,6,4,1,5]=>[5,2,6,4,1,3]=>[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)=>1
[2,3,6,5,1,4]=>[5,2,6,4,1,3]=>[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)=>1
[2,4,1,3,5,6]=>[3,4,1,2,5,6]=>[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)=>2
[2,4,1,5,3,6]=>[3,5,1,4,2,6]=>[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)=>1
[2,4,1,5,6,3]=>[3,6,1,4,5,2]=>[4,1,2,5,6,3]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,4,1,6,3,5]=>[3,5,1,6,2,4]=>[4,6,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[2,4,1,6,5,3]=>[3,6,1,5,4,2]=>[4,1,2,6,5,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>1
[2,4,3,1,5,6]=>[4,3,2,1,5,6]=>[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)=>3
[2,4,3,5,1,6]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,3,6,1,5]=>[5,3,2,6,1,4]=>[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)=>2
[2,4,5,1,3,6]=>[4,5,3,1,2,6]=>[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)=>3
[2,4,5,1,6,3]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[2,4,5,3,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,4,5,6,1,3]=>[5,6,3,4,1,2]=>[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)=>2
[2,4,6,1,3,5]=>[4,5,6,1,2,3]=>[5,6,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[2,4,6,1,5,3]=>[4,6,5,1,3,2]=>[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[2,4,6,3,1,5]=>[5,4,6,2,1,3]=>[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)=>2
[2,4,6,5,1,3]=>[5,6,4,3,1,2]=>[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)=>2
[2,5,1,3,4,6]=>[3,5,1,4,2,6]=>[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)=>1
[2,5,1,3,6,4]=>[3,6,1,4,5,2]=>[4,1,2,5,6,3]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,1,4,3,6]=>[3,5,1,4,2,6]=>[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)=>1
[2,5,1,4,6,3]=>[3,6,1,4,5,2]=>[4,1,2,5,6,3]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,1,6,3,4]=>[3,6,1,5,4,2]=>[4,1,2,6,5,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>1
[2,5,1,6,4,3]=>[3,6,1,5,4,2]=>[4,1,2,6,5,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>1
[2,5,3,1,4,6]=>[4,5,3,1,2,6]=>[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)=>3
[2,5,3,1,6,4]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[2,5,3,4,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,5,3,6,1,4]=>[5,6,3,4,1,2]=>[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)=>2
[2,5,4,1,3,6]=>[4,5,3,1,2,6]=>[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)=>3
[2,5,4,1,6,3]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[2,5,4,3,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,5,4,6,1,3]=>[5,6,3,4,1,2]=>[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)=>2
[2,5,6,1,3,4]=>[4,6,5,1,3,2]=>[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[2,5,6,1,4,3]=>[4,6,5,1,3,2]=>[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[2,5,6,3,1,4]=>[5,6,4,3,1,2]=>[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)=>2
[2,5,6,4,1,3]=>[5,6,4,3,1,2]=>[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)=>2
[2,6,1,3,4,5]=>[3,6,1,4,5,2]=>[4,1,2,5,6,3]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,1,3,5,4]=>[3,6,1,4,5,2]=>[4,1,2,5,6,3]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,1,4,3,5]=>[3,6,1,5,4,2]=>[4,1,2,6,5,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>1
[2,6,1,4,5,3]=>[3,6,1,5,4,2]=>[4,1,2,6,5,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>1
[2,6,1,5,3,4]=>[3,6,1,5,4,2]=>[4,1,2,6,5,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>1
[2,6,1,5,4,3]=>[3,6,1,5,4,2]=>[4,1,2,6,5,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>1
[2,6,3,1,4,5]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[2,6,3,1,5,4]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[2,6,3,4,1,5]=>[5,6,3,4,1,2]=>[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)=>2
[2,6,3,5,1,4]=>[5,6,3,4,1,2]=>[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)=>2
[2,6,4,1,3,5]=>[4,6,5,1,3,2]=>[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[2,6,4,1,5,3]=>[4,6,5,1,3,2]=>[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[2,6,4,3,1,5]=>[5,6,4,3,1,2]=>[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)=>2
[2,6,4,5,1,3]=>[5,6,4,3,1,2]=>[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)=>2
[2,6,5,1,3,4]=>[4,6,5,1,3,2]=>[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[2,6,5,1,4,3]=>[4,6,5,1,3,2]=>[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[2,6,5,3,1,4]=>[5,6,4,3,1,2]=>[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)=>2
[2,6,5,4,1,3]=>[5,6,4,3,1,2]=>[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)=>2
[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,5,4,6]=>[3,2,1,5,4,6]=>[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)=>2
[3,1,4,2,5,6]=>[4,2,3,1,5,6]=>[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)=>2
[3,1,4,5,2,6]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,4,6,2,5]=>[5,2,3,6,1,4]=>[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)=>2
[3,1,5,2,4,6]=>[4,2,5,1,3,6]=>[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)=>1
[3,1,5,2,6,4]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[3,1,5,4,2,6]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,6,2,4]=>[5,2,6,4,1,3]=>[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)=>1
[3,1,6,2,4,5]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[3,1,6,2,5,4]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[3,1,6,4,2,5]=>[5,2,6,4,1,3]=>[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)=>1
[3,1,6,5,2,4]=>[5,2,6,4,1,3]=>[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)=>1
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[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)=>2
[3,2,4,1,5,6]=>[4,2,3,1,5,6]=>[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)=>2
[3,2,4,5,1,6]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,2,4,6,1,5]=>[5,2,3,6,1,4]=>[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)=>2
[3,2,5,1,4,6]=>[4,2,5,1,3,6]=>[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)=>1
[3,2,5,1,6,4]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[3,2,5,4,1,6]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,2,5,6,1,4]=>[5,2,6,4,1,3]=>[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)=>1
[3,2,6,1,4,5]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[3,2,6,1,5,4]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>1
[3,2,6,4,1,5]=>[5,2,6,4,1,3]=>[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)=>1
[3,2,6,5,1,4]=>[5,2,6,4,1,3]=>[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)=>1
[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>[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)=>3
[3,4,1,5,2,6]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,4,1,6,2,5]=>[5,3,2,6,1,4]=>[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)=>2
[3,4,2,1,5,6]=>[4,3,2,1,5,6]=>[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)=>3
[3,4,2,5,1,6]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,4,2,6,1,5]=>[5,3,2,6,1,4]=>[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)=>2
[3,4,5,1,2,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,5,2,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,6,1,2,5]=>[5,4,6,2,1,3]=>[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)=>2
[3,4,6,2,1,5]=>[5,4,6,2,1,3]=>[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)=>2
[3,5,1,2,4,6]=>[4,5,3,1,2,6]=>[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)=>3
[3,5,1,2,6,4]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[3,5,1,4,2,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,5,1,6,2,4]=>[5,6,3,4,1,2]=>[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)=>2
[3,5,2,1,4,6]=>[4,5,3,1,2,6]=>[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)=>3
[3,5,2,1,6,4]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[3,5,2,4,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,5,2,6,1,4]=>[5,6,3,4,1,2]=>[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)=>2
[3,5,4,1,2,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,5,4,2,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,5,6,1,2,4]=>[5,6,4,3,1,2]=>[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)=>2
[3,5,6,2,1,4]=>[5,6,4,3,1,2]=>[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)=>2
[3,6,1,2,4,5]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[3,6,1,2,5,4]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[3,6,1,4,2,5]=>[5,6,3,4,1,2]=>[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)=>2
[3,6,1,5,2,4]=>[5,6,3,4,1,2]=>[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)=>2
[3,6,2,1,4,5]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[3,6,2,1,5,4]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[3,6,2,4,1,5]=>[5,6,3,4,1,2]=>[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)=>2
[3,6,2,5,1,4]=>[5,6,3,4,1,2]=>[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)=>2
[3,6,4,1,2,5]=>[5,6,4,3,1,2]=>[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)=>2
[3,6,4,2,1,5]=>[5,6,4,3,1,2]=>[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)=>2
[3,6,5,1,2,4]=>[5,6,4,3,1,2]=>[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)=>2
[3,6,5,2,1,4]=>[5,6,4,3,1,2]=>[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)=>2
[4,1,2,3,5,6]=>[4,2,3,1,5,6]=>[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)=>2
[4,1,2,5,3,6]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,2,6,3,5]=>[5,2,3,6,1,4]=>[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)=>2
[4,1,3,2,5,6]=>[4,2,3,1,5,6]=>[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)=>2
[4,1,3,5,2,6]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,3,6,2,5]=>[5,2,3,6,1,4]=>[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)=>2
[4,1,5,2,3,6]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,5,3,2,6]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,6,2,3,5]=>[5,2,6,4,1,3]=>[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)=>1
[4,1,6,3,2,5]=>[5,2,6,4,1,3]=>[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)=>1
[4,2,1,3,5,6]=>[4,3,2,1,5,6]=>[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)=>3
[4,2,1,5,3,6]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,2,1,6,3,5]=>[5,3,2,6,1,4]=>[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)=>2
[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[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)=>3
[4,2,3,5,1,6]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,2,3,6,1,5]=>[5,3,2,6,1,4]=>[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)=>2
[4,2,5,1,3,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,2,5,3,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,2,6,1,3,5]=>[5,4,6,2,1,3]=>[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)=>2
[4,2,6,3,1,5]=>[5,4,6,2,1,3]=>[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)=>2
[4,3,1,2,5,6]=>[4,3,2,1,5,6]=>[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)=>3
[4,3,1,5,2,6]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,3,1,6,2,5]=>[5,3,2,6,1,4]=>[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)=>2
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[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)=>3
[4,3,2,5,1,6]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,3,2,6,1,5]=>[5,3,2,6,1,4]=>[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)=>2
[4,3,5,1,2,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,3,5,2,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,3,6,1,2,5]=>[5,4,6,2,1,3]=>[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)=>2
[4,3,6,2,1,5]=>[5,4,6,2,1,3]=>[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)=>2
[4,5,1,2,3,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,1,3,2,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,2,1,3,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,2,3,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,3,2,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,6,1,2,3,5]=>[5,6,3,4,1,2]=>[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)=>2
[4,6,1,3,2,5]=>[5,6,3,4,1,2]=>[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)=>2
[4,6,2,1,3,5]=>[5,6,4,3,1,2]=>[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)=>2
[4,6,2,3,1,5]=>[5,6,4,3,1,2]=>[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)=>2
[4,6,3,1,2,5]=>[5,6,4,3,1,2]=>[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)=>2
[4,6,3,2,1,5]=>[5,6,4,3,1,2]=>[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)=>2
[5,1,2,3,4,6]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,4,3,6]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,3,2,4,6]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,3,4,2,6]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,4,2,3,6]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,4,3,2,6]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,1,3,4,6]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,1,4,3,6]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,3,1,4,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,2,4,1,3,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,3,1,2,4,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,3,1,4,2,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,3,2,1,4,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,3,4,1,2,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,3,4,2,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,4,1,2,3,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,4,1,3,2,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,4,2,1,3,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,4,2,3,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,4,3,1,2,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>5
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[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)=>3
[1,2,3,5,7,4,6]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>[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)=>3
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[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)=>3
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[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)=>3
[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[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)=>2
[1,2,4,5,7,3,6]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,2,4,6,3,5,7]=>[1,2,5,6,3,4,7]=>[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)=>2
[1,2,4,6,3,7,5]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>1
[1,2,4,6,5,3,7]=>[1,2,6,5,4,3,7]=>[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)=>3
[1,2,4,6,7,3,5]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[1,2,4,7,3,5,6]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>1
[1,2,4,7,3,6,5]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>1
[1,2,4,7,5,3,6]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[1,2,4,7,6,3,5]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>[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)=>3
[1,2,5,3,6,4,7]=>[1,2,6,4,5,3,7]=>[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)=>2
[1,2,5,3,7,4,6]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[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)=>3
[1,2,5,4,6,3,7]=>[1,2,6,4,5,3,7]=>[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)=>2
[1,2,5,4,7,3,6]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,2,5,6,3,4,7]=>[1,2,6,5,4,3,7]=>[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)=>3
[1,2,5,6,4,3,7]=>[1,2,6,5,4,3,7]=>[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)=>3
[1,2,5,7,3,4,6]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[1,2,5,7,4,3,6]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[1,2,6,3,4,5,7]=>[1,2,6,4,5,3,7]=>[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)=>2
[1,2,6,3,5,4,7]=>[1,2,6,4,5,3,7]=>[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)=>2
[1,2,6,4,3,5,7]=>[1,2,6,5,4,3,7]=>[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)=>3
[1,2,6,4,5,3,7]=>[1,2,6,5,4,3,7]=>[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)=>3
[1,2,6,5,3,4,7]=>[1,2,6,5,4,3,7]=>[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)=>3
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[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)=>3
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[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)=>2
[1,3,2,5,7,4,6]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>[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)=>2
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[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)=>2
[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[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)=>3
[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[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)=>2
[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[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)=>2
[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[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)=>2
[1,3,4,5,7,2,6]=>[1,6,3,4,7,2,5]=>[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)=>1
[1,3,4,6,2,5,7]=>[1,5,3,6,2,4,7]=>[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)=>1
[1,3,4,6,2,7,5]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,3,4,6,5,2,7]=>[1,6,3,5,4,2,7]=>[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)=>2
[1,3,4,6,7,2,5]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,3,4,7,2,5,6]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,3,4,7,2,6,5]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,3,4,7,5,2,6]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,3,4,7,6,2,5]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,3,5,2,4,6,7]=>[1,4,5,2,3,6,7]=>[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)=>2
[1,3,5,2,6,4,7]=>[1,4,6,2,5,3,7]=>[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)=>1
[1,3,5,2,6,7,4]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>1
[1,3,5,2,7,4,6]=>[1,4,6,2,7,3,5]=>[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)=>1
[1,3,5,2,7,6,4]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>1
[1,3,5,4,2,6,7]=>[1,5,4,3,2,6,7]=>[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)=>3
[1,3,5,4,6,2,7]=>[1,6,4,3,5,2,7]=>[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)=>2
[1,3,5,4,7,2,6]=>[1,6,4,3,7,2,5]=>[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)=>1
[1,3,5,6,2,4,7]=>[1,5,6,4,2,3,7]=>[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)=>2
[1,3,5,6,2,7,4]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,3,5,6,4,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,3,5,6,7,2,4]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,3,5,7,2,4,6]=>[1,5,6,7,2,3,4]=>[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)=>2
[1,3,5,7,2,6,4]=>[1,5,7,6,2,4,3]=>[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)=>1
[1,3,5,7,4,2,6]=>[1,6,5,7,3,2,4]=>[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)=>1
[1,3,5,7,6,2,4]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,3,6,2,4,5,7]=>[1,4,6,2,5,3,7]=>[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)=>1
[1,3,6,2,4,7,5]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>1
[1,3,6,2,5,4,7]=>[1,4,6,2,5,3,7]=>[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)=>1
[1,3,6,2,5,7,4]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>1
[1,3,6,2,7,4,5]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>1
[1,3,6,2,7,5,4]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>1
[1,3,6,4,2,5,7]=>[1,5,6,4,2,3,7]=>[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)=>2
[1,3,6,4,2,7,5]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,3,6,4,5,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,3,6,4,7,2,5]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,3,6,5,2,4,7]=>[1,5,6,4,2,3,7]=>[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)=>2
[1,3,6,5,2,7,4]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,3,6,5,4,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,3,6,5,7,2,4]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,3,6,7,2,4,5]=>[1,5,7,6,2,4,3]=>[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)=>1
[1,3,6,7,2,5,4]=>[1,5,7,6,2,4,3]=>[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)=>1
[1,3,6,7,4,2,5]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,3,6,7,5,2,4]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,3,7,2,4,5,6]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>1
[1,3,7,2,4,6,5]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>1
[1,3,7,2,5,4,6]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>1
[1,3,7,2,5,6,4]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>1
[1,3,7,2,6,4,5]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>1
[1,3,7,2,6,5,4]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>1
[1,3,7,4,2,5,6]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,3,7,4,2,6,5]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,3,7,4,5,2,6]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,3,7,4,6,2,5]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,3,7,5,2,4,6]=>[1,5,7,6,2,4,3]=>[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)=>1
[1,3,7,5,2,6,4]=>[1,5,7,6,2,4,3]=>[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)=>1
[1,3,7,5,4,2,6]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,3,7,5,6,2,4]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,3,7,6,2,4,5]=>[1,5,7,6,2,4,3]=>[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)=>1
[1,3,7,6,2,5,4]=>[1,5,7,6,2,4,3]=>[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)=>1
[1,3,7,6,4,2,5]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,3,7,6,5,2,4]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>[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)=>3
[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>[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)=>2
[1,4,2,5,3,6,7]=>[1,5,3,4,2,6,7]=>[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)=>2
[1,4,2,5,6,3,7]=>[1,6,3,4,5,2,7]=>[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)=>2
[1,4,2,5,7,3,6]=>[1,6,3,4,7,2,5]=>[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)=>1
[1,4,2,6,3,5,7]=>[1,5,3,6,2,4,7]=>[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)=>1
[1,4,2,6,3,7,5]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,2,6,5,3,7]=>[1,6,3,5,4,2,7]=>[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)=>2
[1,4,2,6,7,3,5]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,4,2,7,3,5,6]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,2,7,3,6,5]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,2,7,5,3,6]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,4,2,7,6,3,5]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[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)=>3
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[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)=>2
[1,4,3,5,2,6,7]=>[1,5,3,4,2,6,7]=>[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)=>2
[1,4,3,5,6,2,7]=>[1,6,3,4,5,2,7]=>[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)=>2
[1,4,3,5,7,2,6]=>[1,6,3,4,7,2,5]=>[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)=>1
[1,4,3,6,2,5,7]=>[1,5,3,6,2,4,7]=>[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)=>1
[1,4,3,6,2,7,5]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,3,6,5,2,7]=>[1,6,3,5,4,2,7]=>[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)=>2
[1,4,3,6,7,2,5]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,4,3,7,2,5,6]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,3,7,2,6,5]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,3,7,5,2,6]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,4,3,7,6,2,5]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,4,5,2,3,6,7]=>[1,5,4,3,2,6,7]=>[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)=>3
[1,4,5,2,6,3,7]=>[1,6,4,3,5,2,7]=>[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)=>2
[1,4,5,2,7,3,6]=>[1,6,4,3,7,2,5]=>[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)=>1
[1,4,5,3,2,6,7]=>[1,5,4,3,2,6,7]=>[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)=>3
[1,4,5,3,6,2,7]=>[1,6,4,3,5,2,7]=>[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)=>2
[1,4,5,3,7,2,6]=>[1,6,4,3,7,2,5]=>[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)=>1
[1,4,5,6,2,3,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,4,5,6,3,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,4,5,7,2,3,6]=>[1,6,5,7,3,2,4]=>[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)=>1
[1,4,5,7,3,2,6]=>[1,6,5,7,3,2,4]=>[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)=>1
[1,4,6,2,3,5,7]=>[1,5,6,4,2,3,7]=>[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)=>2
[1,4,6,2,3,7,5]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,6,2,5,3,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,4,6,2,7,3,5]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,4,6,3,2,5,7]=>[1,5,6,4,2,3,7]=>[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)=>2
[1,4,6,3,2,7,5]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,6,3,5,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,4,6,3,7,2,5]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,4,6,5,2,3,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,4,6,5,3,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,4,6,7,2,3,5]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,4,6,7,3,2,5]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,4,7,2,3,5,6]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,7,2,3,6,5]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,7,2,5,3,6]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,4,7,2,6,3,5]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,4,7,3,2,5,6]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,7,3,2,6,5]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>1
[1,4,7,3,5,2,6]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,4,7,3,6,2,5]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,4,7,5,2,3,6]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,4,7,5,3,2,6]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,4,7,6,2,3,5]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,4,7,6,3,2,5]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,5,2,3,4,6,7]=>[1,5,3,4,2,6,7]=>[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)=>2
[1,5,2,3,6,4,7]=>[1,6,3,4,5,2,7]=>[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)=>2
[1,5,2,3,7,4,6]=>[1,6,3,4,7,2,5]=>[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)=>1
[1,5,2,4,3,6,7]=>[1,5,3,4,2,6,7]=>[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)=>2
[1,5,2,4,6,3,7]=>[1,6,3,4,5,2,7]=>[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)=>2
[1,5,2,4,7,3,6]=>[1,6,3,4,7,2,5]=>[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)=>1
[1,5,2,6,3,4,7]=>[1,6,3,5,4,2,7]=>[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)=>2
[1,5,2,6,4,3,7]=>[1,6,3,5,4,2,7]=>[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)=>2
[1,5,2,7,3,4,6]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,5,2,7,4,3,6]=>[1,6,3,7,5,2,4]=>[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)=>1
[1,5,3,2,4,6,7]=>[1,5,4,3,2,6,7]=>[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)=>3
[1,5,3,2,6,4,7]=>[1,6,4,3,5,2,7]=>[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)=>2
[1,5,3,2,7,4,6]=>[1,6,4,3,7,2,5]=>[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)=>1
[1,5,3,4,2,6,7]=>[1,5,4,3,2,6,7]=>[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)=>3
[1,5,3,4,6,2,7]=>[1,6,4,3,5,2,7]=>[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)=>2
[1,5,3,4,7,2,6]=>[1,6,4,3,7,2,5]=>[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)=>1
[1,5,3,6,2,4,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,5,3,6,4,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,5,3,7,2,4,6]=>[1,6,5,7,3,2,4]=>[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)=>1
[1,5,3,7,4,2,6]=>[1,6,5,7,3,2,4]=>[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)=>1
[1,5,4,2,3,6,7]=>[1,5,4,3,2,6,7]=>[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)=>3
[1,5,4,2,6,3,7]=>[1,6,4,3,5,2,7]=>[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)=>2
[1,5,4,2,7,3,6]=>[1,6,4,3,7,2,5]=>[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)=>1
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[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)=>3
[1,5,4,3,6,2,7]=>[1,6,4,3,5,2,7]=>[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)=>2
[1,5,4,3,7,2,6]=>[1,6,4,3,7,2,5]=>[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)=>1
[1,5,4,6,2,3,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,5,4,6,3,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,5,4,7,2,3,6]=>[1,6,5,7,3,2,4]=>[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)=>1
[1,5,4,7,3,2,6]=>[1,6,5,7,3,2,4]=>[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)=>1
[1,5,6,2,3,4,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,5,6,2,4,3,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,5,6,3,2,4,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,5,6,3,4,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,5,6,4,2,3,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,5,6,4,3,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,5,7,2,3,4,6]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,5,7,2,4,3,6]=>[1,6,7,4,5,2,3]=>[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)=>2
[1,5,7,3,2,4,6]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,5,7,3,4,2,6]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,5,7,4,2,3,6]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,5,7,4,3,2,6]=>[1,6,7,5,4,2,3]=>[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)=>2
[1,6,2,3,4,5,7]=>[1,6,3,4,5,2,7]=>[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)=>2
[1,6,2,3,5,4,7]=>[1,6,3,4,5,2,7]=>[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)=>2
[1,6,2,4,3,5,7]=>[1,6,3,5,4,2,7]=>[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)=>2
[1,6,2,4,5,3,7]=>[1,6,3,5,4,2,7]=>[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)=>2
[1,6,2,5,3,4,7]=>[1,6,3,5,4,2,7]=>[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)=>2
[1,6,2,5,4,3,7]=>[1,6,3,5,4,2,7]=>[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)=>2
[1,6,3,2,4,5,7]=>[1,6,4,3,5,2,7]=>[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)=>2
[1,6,3,2,5,4,7]=>[1,6,4,3,5,2,7]=>[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)=>2
[1,6,3,4,2,5,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,3,4,5,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,3,5,2,4,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,3,5,4,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,4,2,3,5,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,4,2,5,3,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,4,3,2,5,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,4,3,5,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,4,5,2,3,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,4,5,3,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,5,2,3,4,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,5,2,4,3,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,5,3,2,4,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,5,3,4,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,5,4,2,3,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[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)=>4
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[3,2,4,5,6,7,1]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[3,2,4,5,7,6,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[3,2,4,6,5,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[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)=>2
[2,1,3,5,7,4,6]=>[2,1,3,6,7,4,5]=>[3,2,4,7,1,5,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,1,3,6,4,5,7]=>[2,1,3,6,5,4,7]=>[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)=>2
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[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)=>2
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[3,2,5,4,6,7,1]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[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)=>3
[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[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)=>2
[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[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)=>2
[2,1,4,5,7,3,6]=>[2,1,6,4,7,3,5]=>[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)=>1
[2,1,4,6,3,5,7]=>[2,1,5,6,3,4,7]=>[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)=>3
[2,1,4,6,3,7,5]=>[2,1,5,7,3,6,4]=>[3,2,6,1,4,7,5]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>1
[2,1,4,6,5,3,7]=>[2,1,6,5,4,3,7]=>[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)=>3
[2,1,4,6,7,3,5]=>[2,1,6,7,5,3,4]=>[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)=>2
[2,1,4,7,3,5,6]=>[2,1,5,7,3,6,4]=>[3,2,6,1,4,7,5]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>1
[2,1,4,7,3,6,5]=>[2,1,5,7,3,6,4]=>[3,2,6,1,4,7,5]=>([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)=>1
[2,1,4,7,5,3,6]=>[2,1,6,7,5,3,4]=>[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)=>2
[2,1,4,7,6,3,5]=>[2,1,6,7,5,3,4]=>[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)=>2
[2,1,5,3,4,6,7]=>[2,1,5,4,3,6,7]=>[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)=>2
[2,1,5,3,6,4,7]=>[2,1,6,4,5,3,7]=>[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)=>2
[2,1,5,3,7,4,6]=>[2,1,6,4,7,3,5]=>[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)=>1
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[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)=>2
[2,1,5,4,6,3,7]=>[2,1,6,4,5,3,7]=>[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)=>2
[2,1,5,4,7,3,6]=>[2,1,6,4,7,3,5]=>[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)=>1
[2,1,5,6,3,4,7]=>[2,1,6,5,4,3,7]=>[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)=>3
[2,1,5,6,4,3,7]=>[2,1,6,5,4,3,7]=>[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)=>3
[2,1,5,7,3,4,6]=>[2,1,6,7,5,3,4]=>[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)=>2
[2,1,5,7,4,3,6]=>[2,1,6,7,5,3,4]=>[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)=>2
[2,1,6,3,4,5,7]=>[2,1,6,4,5,3,7]=>[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)=>2
[2,1,6,3,5,4,7]=>[2,1,6,4,5,3,7]=>[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)=>2
[2,1,6,4,3,5,7]=>[2,1,6,5,4,3,7]=>[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)=>3
[2,1,6,4,5,3,7]=>[2,1,6,5,4,3,7]=>[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)=>3
[2,1,6,5,3,4,7]=>[2,1,6,5,4,3,7]=>[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)=>3
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[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)=>3
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[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)=>3
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[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)=>2
[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[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)=>2
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[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)=>4
[2,3,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[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)=>2
[2,3,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[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)=>4
[2,3,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[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)=>4
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[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)=>2
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[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)=>2
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[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)=>2
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[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)=>2
[2,3,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[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)=>1
[2,3,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[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)=>2
[2,3,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[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)=>2
[2,3,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[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)=>2
[2,3,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[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)=>2
[2,3,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[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)=>2
[2,3,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[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)=>2
[2,3,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[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)=>1
[2,3,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[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)=>2
[2,3,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[2,3,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[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)=>1
[2,3,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[2,3,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[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)=>2
[2,3,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[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)=>1
[2,3,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[2,3,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[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)=>1
[2,3,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[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)=>2
[2,3,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[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)=>1
[2,3,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[2,3,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[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)=>1
[2,3,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[2,3,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[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)=>2
[2,3,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[2,3,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[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)=>2
[2,3,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[2,3,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[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)=>2
[2,3,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[2,3,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[2,3,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[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)=>1
[2,3,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[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)=>2
[2,3,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[2,3,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[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)=>1
[2,3,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[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)=>2
[2,3,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[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)=>1
[2,3,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[2,3,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[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)=>1
[2,3,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[2,3,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[2,3,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[2,3,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[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)=>2
[2,3,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[2,3,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[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)=>2
[2,3,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[2,3,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[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)=>1
[2,3,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[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)=>1
[2,3,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[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)=>2
[2,3,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[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)=>2
[2,3,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[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)=>1
[2,3,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[2,3,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[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)=>1
[2,3,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[2,3,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[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)=>1
[2,3,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[2,3,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[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)=>1
[2,3,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[2,4,1,3,5,6,7]=>[3,4,1,2,5,6,7]=>[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)=>2
[2,4,1,3,6,5,7]=>[3,4,1,2,6,5,7]=>[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)=>3
[2,4,1,5,3,6,7]=>[3,5,1,4,2,6,7]=>[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)=>1
[2,4,1,5,6,3,7]=>[3,6,1,4,5,2,7]=>[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)=>1
[2,4,1,5,6,7,3]=>[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[2,4,1,5,7,3,6]=>[3,6,1,4,7,2,5]=>[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)=>1
[2,4,1,5,7,6,3]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,4,1,6,3,5,7]=>[3,5,1,6,2,4,7]=>[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)=>2
[2,4,1,6,3,7,5]=>[3,5,1,7,2,6,4]=>[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)=>1
[2,4,1,6,5,3,7]=>[3,6,1,5,4,2,7]=>[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)=>1
[2,4,1,6,5,7,3]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,4,1,6,7,3,5]=>[3,6,1,7,5,2,4]=>[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)=>1
[2,4,1,6,7,5,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,4,1,7,3,5,6]=>[3,5,1,7,2,6,4]=>[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)=>1
[2,4,1,7,3,6,5]=>[3,5,1,7,2,6,4]=>[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)=>1
[2,4,1,7,5,3,6]=>[3,6,1,7,5,2,4]=>[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)=>1
[2,4,1,7,5,6,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,4,1,7,6,3,5]=>[3,6,1,7,5,2,4]=>[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)=>1
[2,4,1,7,6,5,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,4,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[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)=>3
[2,4,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[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)=>3
[2,4,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[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)=>2
[2,4,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,4,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[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)=>1
[2,4,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[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)=>1
[2,4,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[2,4,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,4,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[2,4,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[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)=>2
[2,4,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[2,4,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[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)=>1
[2,4,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[2,4,5,1,3,6,7]=>[4,5,3,1,2,6,7]=>[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)=>2
[2,4,5,1,6,3,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[2,4,5,1,6,7,3]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[2,4,5,1,7,3,6]=>[4,6,3,1,7,2,5]=>[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)=>1
[2,4,5,1,7,6,3]=>[4,7,3,1,6,5,2]=>[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)=>1
[2,4,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[2,4,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,4,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[2,4,5,6,1,3,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[2,4,5,6,1,7,3]=>[5,7,3,4,1,6,2]=>[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)=>1
[2,4,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[2,4,5,6,7,1,3]=>[6,7,3,4,5,1,2]=>[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)=>2
[2,4,5,7,1,3,6]=>[5,6,3,7,1,2,4]=>[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)=>2
[2,4,5,7,1,6,3]=>[5,7,3,6,1,4,2]=>[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)=>1
[2,4,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[2,4,5,7,6,1,3]=>[6,7,3,5,4,1,2]=>[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)=>1
[2,4,6,1,3,5,7]=>[4,5,6,1,2,3,7]=>[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)=>4
[2,4,6,1,3,7,5]=>[4,5,7,1,2,6,3]=>[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)=>2
[2,4,6,1,5,3,7]=>[4,6,5,1,3,2,7]=>[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)=>2
[2,4,6,1,5,7,3]=>[4,7,5,1,3,6,2]=>[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)=>1
[2,4,6,1,7,3,5]=>[4,6,7,1,5,2,3]=>[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)=>1
[2,4,6,1,7,5,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,4,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[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)=>2
[2,4,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[2,4,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,4,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[2,4,6,5,1,3,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[2,4,6,5,1,7,3]=>[5,7,4,3,1,6,2]=>[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)=>1
[2,4,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[2,4,6,5,7,1,3]=>[6,7,4,3,5,1,2]=>[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)=>1
[2,4,6,7,1,3,5]=>[5,6,7,4,1,2,3]=>[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)=>2
[2,4,6,7,1,5,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,4,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[2,4,6,7,5,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,4,7,1,3,5,6]=>[4,5,7,1,2,6,3]=>[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)=>2
[2,4,7,1,3,6,5]=>[4,5,7,1,2,6,3]=>[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)=>2
[2,4,7,1,5,3,6]=>[4,6,7,1,5,2,3]=>[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)=>1
[2,4,7,1,5,6,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,4,7,1,6,3,5]=>[4,6,7,1,5,2,3]=>[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)=>1
[2,4,7,1,6,5,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,4,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[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)=>1
[2,4,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[2,4,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[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)=>1
[2,4,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[2,4,7,5,1,3,6]=>[5,6,7,4,1,2,3]=>[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)=>2
[2,4,7,5,1,6,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,4,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[2,4,7,5,6,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,4,7,6,1,3,5]=>[5,6,7,4,1,2,3]=>[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)=>2
[2,4,7,6,1,5,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,4,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[2,4,7,6,5,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,5,1,3,4,6,7]=>[3,5,1,4,2,6,7]=>[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)=>1
[2,5,1,3,6,4,7]=>[3,6,1,4,5,2,7]=>[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)=>1
[2,5,1,3,6,7,4]=>[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[2,5,1,3,7,4,6]=>[3,6,1,4,7,2,5]=>[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)=>1
[2,5,1,3,7,6,4]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,5,1,4,3,6,7]=>[3,5,1,4,2,6,7]=>[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)=>1
[2,5,1,4,6,3,7]=>[3,6,1,4,5,2,7]=>[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)=>1
[2,5,1,4,6,7,3]=>[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[2,5,1,4,7,3,6]=>[3,6,1,4,7,2,5]=>[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)=>1
[2,5,1,4,7,6,3]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,5,1,6,3,4,7]=>[3,6,1,5,4,2,7]=>[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)=>1
[2,5,1,6,3,7,4]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,5,1,6,4,3,7]=>[3,6,1,5,4,2,7]=>[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)=>1
[2,5,1,6,4,7,3]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,5,1,6,7,3,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,5,1,6,7,4,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,5,1,7,3,4,6]=>[3,6,1,7,5,2,4]=>[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)=>1
[2,5,1,7,3,6,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,5,1,7,4,3,6]=>[3,6,1,7,5,2,4]=>[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)=>1
[2,5,1,7,4,6,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,5,1,7,6,3,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,5,1,7,6,4,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,5,3,1,4,6,7]=>[4,5,3,1,2,6,7]=>[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)=>2
[2,5,3,1,6,4,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[2,5,3,1,6,7,4]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[2,5,3,1,7,4,6]=>[4,6,3,1,7,2,5]=>[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)=>1
[2,5,3,1,7,6,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[2,5,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[2,5,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,5,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[2,5,3,6,1,4,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[2,5,3,6,1,7,4]=>[5,7,3,4,1,6,2]=>[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)=>1
[2,5,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[2,5,3,6,7,1,4]=>[6,7,3,4,5,1,2]=>[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)=>2
[2,5,3,7,1,4,6]=>[5,6,3,7,1,2,4]=>[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)=>2
[2,5,3,7,1,6,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[2,5,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[2,5,3,7,6,1,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[2,5,4,1,3,6,7]=>[4,5,3,1,2,6,7]=>[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)=>2
[2,5,4,1,6,3,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[2,5,4,1,6,7,3]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[2,5,4,1,7,3,6]=>[4,6,3,1,7,2,5]=>[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)=>1
[2,5,4,1,7,6,3]=>[4,7,3,1,6,5,2]=>[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)=>1
[2,5,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[2,5,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,5,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[2,5,4,6,1,3,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[2,5,4,6,1,7,3]=>[5,7,3,4,1,6,2]=>[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)=>1
[2,5,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[2,5,4,6,7,1,3]=>[6,7,3,4,5,1,2]=>[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)=>2
[2,5,4,7,1,3,6]=>[5,6,3,7,1,2,4]=>[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)=>2
[2,5,4,7,1,6,3]=>[5,7,3,6,1,4,2]=>[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)=>1
[2,5,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[2,5,4,7,6,1,3]=>[6,7,3,5,4,1,2]=>[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)=>1
[2,5,6,1,3,4,7]=>[4,6,5,1,3,2,7]=>[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)=>2
[2,5,6,1,3,7,4]=>[4,7,5,1,3,6,2]=>[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)=>1
[2,5,6,1,4,3,7]=>[4,6,5,1,3,2,7]=>[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)=>2
[2,5,6,1,4,7,3]=>[4,7,5,1,3,6,2]=>[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)=>1
[2,5,6,1,7,3,4]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,5,6,1,7,4,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,5,6,3,1,4,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[2,5,6,3,1,7,4]=>[5,7,4,3,1,6,2]=>[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)=>1
[2,5,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[2,5,6,3,7,1,4]=>[6,7,4,3,5,1,2]=>[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)=>1
[2,5,6,4,1,3,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[2,5,6,4,1,7,3]=>[5,7,4,3,1,6,2]=>[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)=>1
[2,5,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[2,5,6,4,7,1,3]=>[6,7,4,3,5,1,2]=>[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)=>1
[2,5,6,7,1,3,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,5,6,7,1,4,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,5,6,7,3,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,5,6,7,4,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,5,7,1,3,4,6]=>[4,6,7,1,5,2,3]=>[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)=>1
[2,5,7,1,3,6,4]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,5,7,1,4,3,6]=>[4,6,7,1,5,2,3]=>[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)=>1
[2,5,7,1,4,6,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,5,7,1,6,3,4]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,5,7,1,6,4,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,5,7,3,1,4,6]=>[5,6,7,4,1,2,3]=>[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)=>2
[2,5,7,3,1,6,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,5,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[2,5,7,3,6,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,5,7,4,1,3,6]=>[5,6,7,4,1,2,3]=>[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)=>2
[2,5,7,4,1,6,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,5,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[2,5,7,4,6,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,5,7,6,1,3,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,5,7,6,1,4,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,5,7,6,3,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,5,7,6,4,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,6,1,3,4,5,7]=>[3,6,1,4,5,2,7]=>[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)=>1
[2,6,1,3,4,7,5]=>[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[2,6,1,3,5,4,7]=>[3,6,1,4,5,2,7]=>[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)=>1
[2,6,1,3,5,7,4]=>[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[2,6,1,3,7,4,5]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,6,1,3,7,5,4]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,6,1,4,3,5,7]=>[3,6,1,5,4,2,7]=>[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)=>1
[2,6,1,4,3,7,5]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,6,1,4,5,3,7]=>[3,6,1,5,4,2,7]=>[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)=>1
[2,6,1,4,5,7,3]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,6,1,4,7,3,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,6,1,4,7,5,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,6,1,5,3,4,7]=>[3,6,1,5,4,2,7]=>[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)=>1
[2,6,1,5,3,7,4]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,6,1,5,4,3,7]=>[3,6,1,5,4,2,7]=>[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)=>1
[2,6,1,5,4,7,3]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,6,1,5,7,3,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,6,1,5,7,4,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,6,1,7,3,4,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,6,1,7,3,5,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,6,1,7,4,3,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,6,1,7,4,5,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,6,1,7,5,3,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,6,1,7,5,4,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,6,3,1,4,5,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[2,6,3,1,4,7,5]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[2,6,3,1,5,4,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[2,6,3,1,5,7,4]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[2,6,3,1,7,4,5]=>[4,7,3,1,6,5,2]=>[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)=>1
[2,6,3,1,7,5,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[2,6,3,4,1,5,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[2,6,3,4,1,7,5]=>[5,7,3,4,1,6,2]=>[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)=>1
[2,6,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[2,6,3,4,7,1,5]=>[6,7,3,4,5,1,2]=>[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)=>2
[2,6,3,5,1,4,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[2,6,3,5,1,7,4]=>[5,7,3,4,1,6,2]=>[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)=>1
[2,6,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[2,6,3,5,7,1,4]=>[6,7,3,4,5,1,2]=>[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)=>2
[2,6,3,7,1,4,5]=>[5,7,3,6,1,4,2]=>[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)=>1
[2,6,3,7,1,5,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[2,6,3,7,4,1,5]=>[6,7,3,5,4,1,2]=>[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)=>1
[2,6,3,7,5,1,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[2,6,4,1,3,5,7]=>[4,6,5,1,3,2,7]=>[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)=>2
[2,6,4,1,3,7,5]=>[4,7,5,1,3,6,2]=>[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)=>1
[2,6,4,1,5,3,7]=>[4,6,5,1,3,2,7]=>[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)=>2
[2,6,4,1,5,7,3]=>[4,7,5,1,3,6,2]=>[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)=>1
[2,6,4,1,7,3,5]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,6,4,1,7,5,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,6,4,3,1,5,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[2,6,4,3,1,7,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[2,6,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[2,6,4,3,7,1,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[2,6,4,5,1,3,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[2,6,4,5,1,7,3]=>[5,7,4,3,1,6,2]=>[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)=>1
[2,6,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[2,6,4,5,7,1,3]=>[6,7,4,3,5,1,2]=>[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)=>1
[2,6,4,7,1,3,5]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,6,4,7,1,5,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,6,4,7,3,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,6,4,7,5,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,6,5,1,3,4,7]=>[4,6,5,1,3,2,7]=>[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)=>2
[2,6,5,1,3,7,4]=>[4,7,5,1,3,6,2]=>[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)=>1
[2,6,5,1,4,3,7]=>[4,6,5,1,3,2,7]=>[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)=>2
[2,6,5,1,4,7,3]=>[4,7,5,1,3,6,2]=>[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)=>1
[2,6,5,1,7,3,4]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,6,5,1,7,4,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,6,5,3,1,4,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[2,6,5,3,1,7,4]=>[5,7,4,3,1,6,2]=>[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)=>1
[2,6,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[2,6,5,3,7,1,4]=>[6,7,4,3,5,1,2]=>[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)=>1
[2,6,5,4,1,3,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[2,6,5,4,1,7,3]=>[5,7,4,3,1,6,2]=>[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)=>1
[2,6,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[2,6,5,4,7,1,3]=>[6,7,4,3,5,1,2]=>[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)=>1
[2,6,5,7,1,3,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,6,5,7,1,4,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,6,5,7,3,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,6,5,7,4,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,6,7,1,3,4,5]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,6,7,1,3,5,4]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,6,7,1,4,3,5]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,6,7,1,4,5,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,6,7,1,5,3,4]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,6,7,1,5,4,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,6,7,3,1,4,5]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,6,7,3,1,5,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,6,7,3,4,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,6,7,3,5,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,6,7,4,1,3,5]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,6,7,4,1,5,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,6,7,4,3,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,6,7,4,5,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,6,7,5,1,3,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,6,7,5,1,4,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,6,7,5,3,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,6,7,5,4,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,1,3,4,5,6]=>[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[2,7,1,3,4,6,5]=>[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[2,7,1,3,5,4,6]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,7,1,3,5,6,4]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,7,1,3,6,4,5]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,7,1,3,6,5,4]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,7,1,4,3,5,6]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,7,1,4,3,6,5]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>1
[2,7,1,4,5,3,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,4,5,6,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,4,6,3,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,4,6,5,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,5,3,4,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,5,3,6,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,5,4,3,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,5,4,6,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,5,6,3,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,5,6,4,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,6,3,4,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,6,3,5,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,6,4,3,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,6,4,5,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,6,5,3,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,1,6,5,4,3]=>[3,7,1,6,5,4,2]=>[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)=>2
[2,7,3,1,4,5,6]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[2,7,3,1,4,6,5]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[2,7,3,1,5,4,6]=>[4,7,3,1,6,5,2]=>[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)=>1
[2,7,3,1,5,6,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[2,7,3,1,6,4,5]=>[4,7,3,1,6,5,2]=>[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)=>1
[2,7,3,1,6,5,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[2,7,3,4,1,5,6]=>[5,7,3,4,1,6,2]=>[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)=>1
[2,7,3,4,1,6,5]=>[5,7,3,4,1,6,2]=>[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)=>1
[2,7,3,4,5,1,6]=>[6,7,3,4,5,1,2]=>[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)=>2
[2,7,3,4,6,1,5]=>[6,7,3,4,5,1,2]=>[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)=>2
[2,7,3,5,1,4,6]=>[5,7,3,6,1,4,2]=>[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)=>1
[2,7,3,5,1,6,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[2,7,3,5,4,1,6]=>[6,7,3,5,4,1,2]=>[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)=>1
[2,7,3,5,6,1,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[2,7,3,6,1,4,5]=>[5,7,3,6,1,4,2]=>[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)=>1
[2,7,3,6,1,5,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[2,7,3,6,4,1,5]=>[6,7,3,5,4,1,2]=>[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)=>1
[2,7,3,6,5,1,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[2,7,4,1,3,5,6]=>[4,7,5,1,3,6,2]=>[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)=>1
[2,7,4,1,3,6,5]=>[4,7,5,1,3,6,2]=>[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)=>1
[2,7,4,1,5,3,6]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,4,1,5,6,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,4,1,6,3,5]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,4,1,6,5,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,4,3,1,5,6]=>[5,7,4,3,1,6,2]=>[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)=>1
[2,7,4,3,1,6,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[2,7,4,3,5,1,6]=>[6,7,4,3,5,1,2]=>[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)=>1
[2,7,4,3,6,1,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[2,7,4,5,1,3,6]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,4,5,1,6,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,4,5,3,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,4,5,6,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,4,6,1,3,5]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,4,6,1,5,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,4,6,3,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,4,6,5,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,5,1,3,4,6]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,5,1,3,6,4]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,5,1,4,3,6]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,5,1,4,6,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,5,1,6,3,4]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,5,1,6,4,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,5,3,1,4,6]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,5,3,1,6,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,5,3,4,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,5,3,6,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,5,4,1,3,6]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,5,4,1,6,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,5,4,3,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,5,4,6,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,5,6,1,3,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,5,6,1,4,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,5,6,3,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,5,6,4,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,6,1,3,4,5]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,6,1,3,5,4]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,6,1,4,3,5]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,6,1,4,5,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,6,1,5,3,4]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,6,1,5,4,3]=>[4,7,6,1,5,3,2]=>[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)=>1
[2,7,6,3,1,4,5]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,6,3,1,5,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,6,3,4,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,6,3,5,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,6,4,1,3,5]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,6,4,1,5,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,6,4,3,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,6,4,5,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,6,5,1,3,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,6,5,1,4,3]=>[5,7,6,4,1,3,2]=>[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)=>1
[2,7,6,5,3,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[2,7,6,5,4,1,3]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>[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)=>3
[3,1,2,4,6,5,7]=>[3,2,1,4,6,5,7]=>[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)=>2
[3,1,2,5,4,6,7]=>[3,2,1,5,4,6,7]=>[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)=>2
[3,1,2,5,6,4,7]=>[3,2,1,6,5,4,7]=>[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)=>4
[3,1,2,5,7,4,6]=>[3,2,1,6,7,4,5]=>[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)=>2
[3,1,2,6,4,5,7]=>[3,2,1,6,5,4,7]=>[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)=>4
[3,1,2,6,5,4,7]=>[3,2,1,6,5,4,7]=>[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)=>4
[3,1,4,2,5,6,7]=>[4,2,3,1,5,6,7]=>[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)=>2
[3,1,4,2,6,5,7]=>[4,2,3,1,6,5,7]=>[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)=>2
[3,1,4,5,2,6,7]=>[5,2,3,4,1,6,7]=>[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)=>2
[3,1,4,5,6,2,7]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,1,4,5,7,2,6]=>[6,2,3,4,7,1,5]=>[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)=>2
[3,1,4,6,2,5,7]=>[5,2,3,6,1,4,7]=>[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)=>1
[3,1,4,6,2,7,5]=>[5,2,3,7,1,6,4]=>[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)=>2
[3,1,4,6,5,2,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,1,4,6,7,2,5]=>[6,2,3,7,5,1,4]=>[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)=>2
[3,1,4,7,2,5,6]=>[5,2,3,7,1,6,4]=>[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)=>2
[3,1,4,7,2,6,5]=>[5,2,3,7,1,6,4]=>[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)=>2
[3,1,4,7,5,2,6]=>[6,2,3,7,5,1,4]=>[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)=>2
[3,1,4,7,6,2,5]=>[6,2,3,7,5,1,4]=>[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)=>2
[3,1,5,2,4,6,7]=>[4,2,5,1,3,6,7]=>[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)=>1
[3,1,5,2,6,4,7]=>[4,2,6,1,5,3,7]=>[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)=>2
[3,1,5,2,6,7,4]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[3,1,5,2,7,4,6]=>[4,2,6,1,7,3,5]=>[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)=>1
[3,1,5,2,7,6,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,1,5,4,2,6,7]=>[5,2,4,3,1,6,7]=>[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)=>2
[3,1,5,4,6,2,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,1,5,4,7,2,6]=>[6,2,4,3,7,1,5]=>[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)=>1
[3,1,5,6,2,4,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[3,1,5,6,2,7,4]=>[5,2,7,4,1,6,3]=>[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)=>1
[3,1,5,6,4,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,1,5,6,7,2,4]=>[6,2,7,4,5,1,3]=>[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)=>2
[3,1,5,7,2,4,6]=>[5,2,6,7,1,3,4]=>[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)=>1
[3,1,5,7,2,6,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,1,5,7,4,2,6]=>[6,2,5,7,3,1,4]=>[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)=>1
[3,1,5,7,6,2,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,1,6,2,4,5,7]=>[4,2,6,1,5,3,7]=>[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)=>2
[3,1,6,2,4,7,5]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[3,1,6,2,5,4,7]=>[4,2,6,1,5,3,7]=>[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)=>2
[3,1,6,2,5,7,4]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[3,1,6,2,7,4,5]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,1,6,2,7,5,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,1,6,4,2,5,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[3,1,6,4,2,7,5]=>[5,2,7,4,1,6,3]=>[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)=>1
[3,1,6,4,5,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,1,6,4,7,2,5]=>[6,2,7,4,5,1,3]=>[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)=>2
[3,1,6,5,2,4,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[3,1,6,5,2,7,4]=>[5,2,7,4,1,6,3]=>[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)=>1
[3,1,6,5,4,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,1,6,5,7,2,4]=>[6,2,7,4,5,1,3]=>[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)=>2
[3,1,6,7,2,4,5]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,1,6,7,2,5,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,1,6,7,4,2,5]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,1,6,7,5,2,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,1,7,2,4,5,6]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[3,1,7,2,4,6,5]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[3,1,7,2,5,4,6]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,1,7,2,5,6,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,1,7,2,6,4,5]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,1,7,2,6,5,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,1,7,4,2,5,6]=>[5,2,7,4,1,6,3]=>[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)=>1
[3,1,7,4,2,6,5]=>[5,2,7,4,1,6,3]=>[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)=>1
[3,1,7,4,5,2,6]=>[6,2,7,4,5,1,3]=>[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)=>2
[3,1,7,4,6,2,5]=>[6,2,7,4,5,1,3]=>[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)=>2
[3,1,7,5,2,4,6]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,1,7,5,2,6,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,1,7,5,4,2,6]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,1,7,5,6,2,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,1,7,6,2,4,5]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,1,7,6,2,5,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,1,7,6,4,2,5]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,1,7,6,5,2,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[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)=>3
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[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)=>2
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[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)=>2
[3,2,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[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)=>4
[3,2,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[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)=>2
[3,2,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[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)=>4
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[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)=>4
[3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[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)=>2
[3,2,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[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)=>2
[3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[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)=>2
[3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,2,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[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)=>2
[3,2,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[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)=>1
[3,2,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[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)=>2
[3,2,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,2,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[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)=>2
[3,2,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[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)=>2
[3,2,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[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)=>2
[3,2,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[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)=>2
[3,2,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[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)=>2
[3,2,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[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)=>1
[3,2,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[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)=>2
[3,2,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[3,2,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[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)=>1
[3,2,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,2,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[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)=>2
[3,2,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,2,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[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)=>1
[3,2,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[3,2,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[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)=>1
[3,2,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,2,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[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)=>2
[3,2,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[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)=>1
[3,2,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,2,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[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)=>1
[3,2,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,2,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[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)=>2
[3,2,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[3,2,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[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)=>2
[3,2,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[3,2,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,2,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,2,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[3,2,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[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)=>1
[3,2,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,2,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[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)=>2
[3,2,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[3,2,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[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)=>1
[3,2,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,2,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[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)=>2
[3,2,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,2,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,2,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,2,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,2,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[3,2,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)=>1
[3,2,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,2,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,2,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,2,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[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)=>2
[3,2,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[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)=>1
[3,2,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[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)=>1
[3,2,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[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)=>2
[3,2,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[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)=>2
[3,2,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,2,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,2,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,2,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,2,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,2,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[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)=>1
[3,2,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,2,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[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)=>1
[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[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)=>3
[3,4,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[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)=>3
[3,4,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[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)=>2
[3,4,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,4,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[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)=>1
[3,4,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[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)=>1
[3,4,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[3,4,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,4,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[3,4,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[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)=>2
[3,4,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[3,4,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[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)=>1
[3,4,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[3,4,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[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)=>3
[3,4,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[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)=>3
[3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[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)=>2
[3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,4,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[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)=>1
[3,4,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[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)=>1
[3,4,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[3,4,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,4,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[3,4,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[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)=>2
[3,4,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[3,4,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[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)=>1
[3,4,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[3,4,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,4,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,4,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[3,4,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[3,4,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[3,4,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[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)=>2
[3,4,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[3,4,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[3,4,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[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)=>2
[3,4,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[3,4,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[3,4,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,4,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,4,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[3,4,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[3,4,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[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)=>1
[3,4,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[3,4,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[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)=>1
[3,4,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[3,4,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[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)=>1
[3,4,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[3,4,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[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)=>1
[3,4,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[3,4,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[3,4,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[3,4,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[3,4,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[3,5,1,2,4,6,7]=>[4,5,3,1,2,6,7]=>[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)=>2
[3,5,1,2,6,4,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[3,5,1,2,6,7,4]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[3,5,1,2,7,4,6]=>[4,6,3,1,7,2,5]=>[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)=>1
[3,5,1,2,7,6,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[3,5,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,5,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[3,5,1,6,2,4,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[3,5,1,6,2,7,4]=>[5,7,3,4,1,6,2]=>[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)=>1
[3,5,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[3,5,1,6,7,2,4]=>[6,7,3,4,5,1,2]=>[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)=>2
[3,5,1,7,2,4,6]=>[5,6,3,7,1,2,4]=>[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)=>2
[3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,5,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[3,5,1,7,6,2,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,5,2,1,4,6,7]=>[4,5,3,1,2,6,7]=>[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)=>2
[3,5,2,1,6,4,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[3,5,2,1,6,7,4]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[3,5,2,1,7,4,6]=>[4,6,3,1,7,2,5]=>[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)=>1
[3,5,2,1,7,6,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,5,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[3,5,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,5,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[3,5,2,6,1,4,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[3,5,2,6,1,7,4]=>[5,7,3,4,1,6,2]=>[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)=>1
[3,5,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[3,5,2,6,7,1,4]=>[6,7,3,4,5,1,2]=>[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)=>2
[3,5,2,7,1,4,6]=>[5,6,3,7,1,2,4]=>[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)=>2
[3,5,2,7,1,6,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,5,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[3,5,2,7,6,1,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,5,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[3,5,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,5,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[3,5,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[3,5,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,5,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[3,5,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[3,5,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[3,5,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[3,5,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[3,5,6,1,2,4,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[3,5,6,1,2,7,4]=>[5,7,4,3,1,6,2]=>[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)=>1
[3,5,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,5,6,1,7,2,4]=>[6,7,4,3,5,1,2]=>[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)=>1
[3,5,6,2,1,4,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[3,5,6,2,1,7,4]=>[5,7,4,3,1,6,2]=>[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)=>1
[3,5,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,5,6,2,7,1,4]=>[6,7,4,3,5,1,2]=>[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)=>1
[3,5,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,5,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,5,6,7,1,2,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,5,6,7,2,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,5,7,1,2,4,6]=>[5,6,7,4,1,2,3]=>[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)=>2
[3,5,7,1,2,6,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,5,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[3,5,7,1,6,2,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,5,7,2,1,4,6]=>[5,6,7,4,1,2,3]=>[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)=>2
[3,5,7,2,1,6,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,5,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[3,5,7,2,6,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,5,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[3,5,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[3,5,7,6,1,2,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,5,7,6,2,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,1,2,4,5,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[3,6,1,2,4,7,5]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[3,6,1,2,5,4,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[3,6,1,2,5,7,4]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[3,6,1,2,7,4,5]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,6,1,2,7,5,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,6,1,4,2,5,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[3,6,1,4,2,7,5]=>[5,7,3,4,1,6,2]=>[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)=>1
[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[3,6,1,4,7,2,5]=>[6,7,3,4,5,1,2]=>[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)=>2
[3,6,1,5,2,4,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[3,6,1,5,2,7,4]=>[5,7,3,4,1,6,2]=>[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)=>1
[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[3,6,1,5,7,2,4]=>[6,7,3,4,5,1,2]=>[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)=>2
[3,6,1,7,2,4,5]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,6,1,7,2,5,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,6,1,7,4,2,5]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,6,2,1,4,5,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[3,6,2,1,4,7,5]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[3,6,2,1,5,4,7]=>[4,6,3,1,5,2,7]=>[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)=>1
[3,6,2,1,5,7,4]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[3,6,2,1,7,4,5]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,6,2,1,7,5,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,6,2,4,1,5,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[3,6,2,4,1,7,5]=>[5,7,3,4,1,6,2]=>[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)=>1
[3,6,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[3,6,2,4,7,1,5]=>[6,7,3,4,5,1,2]=>[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)=>2
[3,6,2,5,1,4,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[3,6,2,5,1,7,4]=>[5,7,3,4,1,6,2]=>[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)=>1
[3,6,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[3,6,2,5,7,1,4]=>[6,7,3,4,5,1,2]=>[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)=>2
[3,6,2,7,1,4,5]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,6,2,7,1,5,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,6,2,7,4,1,5]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,6,2,7,5,1,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,6,4,1,2,5,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[3,6,4,1,2,7,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[3,6,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,6,4,1,7,2,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[3,6,4,2,1,5,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[3,6,4,2,1,7,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[3,6,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,6,4,2,7,1,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[3,6,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,6,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,6,4,7,1,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,4,7,2,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,5,1,2,4,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[3,6,5,1,2,7,4]=>[5,7,4,3,1,6,2]=>[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)=>1
[3,6,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,6,5,1,7,2,4]=>[6,7,4,3,5,1,2]=>[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)=>1
[3,6,5,2,1,4,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[3,6,5,2,1,7,4]=>[5,7,4,3,1,6,2]=>[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)=>1
[3,6,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,6,5,2,7,1,4]=>[6,7,4,3,5,1,2]=>[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)=>1
[3,6,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,6,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[3,6,5,7,1,2,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,5,7,2,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,7,1,2,4,5]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,6,7,1,2,5,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,6,7,1,4,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,7,1,5,2,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,7,2,1,4,5]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,6,7,2,1,5,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,6,7,2,4,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,7,2,5,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,7,4,1,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,7,4,2,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,7,5,1,2,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,6,7,5,2,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,1,2,4,5,6]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[3,7,1,2,4,6,5]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[3,7,1,2,5,4,6]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,7,1,2,5,6,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,7,1,2,6,4,5]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,7,1,2,6,5,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,7,1,4,2,5,6]=>[5,7,3,4,1,6,2]=>[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)=>1
[3,7,1,4,2,6,5]=>[5,7,3,4,1,6,2]=>[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)=>1
[3,7,1,4,5,2,6]=>[6,7,3,4,5,1,2]=>[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)=>2
[3,7,1,4,6,2,5]=>[6,7,3,4,5,1,2]=>[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)=>2
[3,7,1,5,2,4,6]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,7,1,5,2,6,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,7,1,5,4,2,6]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,7,1,5,6,2,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,7,1,6,2,4,5]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,7,1,6,2,5,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,7,1,6,4,2,5]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,7,1,6,5,2,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,7,2,1,4,5,6]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[3,7,2,1,4,6,5]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>1
[3,7,2,1,5,4,6]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,7,2,1,5,6,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,7,2,1,6,4,5]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,7,2,1,6,5,4]=>[4,7,3,1,6,5,2]=>[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)=>1
[3,7,2,4,1,5,6]=>[5,7,3,4,1,6,2]=>[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)=>1
[3,7,2,4,1,6,5]=>[5,7,3,4,1,6,2]=>[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)=>1
[3,7,2,4,5,1,6]=>[6,7,3,4,5,1,2]=>[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)=>2
[3,7,2,4,6,1,5]=>[6,7,3,4,5,1,2]=>[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)=>2
[3,7,2,5,1,4,6]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,7,2,5,1,6,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,7,2,5,4,1,6]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,7,2,5,6,1,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,7,2,6,1,4,5]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,7,2,6,1,5,4]=>[5,7,3,6,1,4,2]=>[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)=>1
[3,7,2,6,4,1,5]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,7,2,6,5,1,4]=>[6,7,3,5,4,1,2]=>[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)=>1
[3,7,4,1,2,5,6]=>[5,7,4,3,1,6,2]=>[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)=>1
[3,7,4,1,2,6,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[3,7,4,1,5,2,6]=>[6,7,4,3,5,1,2]=>[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)=>1
[3,7,4,1,6,2,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[3,7,4,2,1,5,6]=>[5,7,4,3,1,6,2]=>[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)=>1
[3,7,4,2,1,6,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[3,7,4,2,5,1,6]=>[6,7,4,3,5,1,2]=>[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)=>1
[3,7,4,2,6,1,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[3,7,4,5,1,2,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,4,5,2,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,4,6,1,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,4,6,2,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,5,1,2,4,6]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,7,5,1,2,6,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,7,5,1,4,2,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,5,1,6,2,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,5,2,1,4,6]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,7,5,2,1,6,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,7,5,2,4,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,5,2,6,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,5,4,1,2,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,5,4,2,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,5,6,1,2,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,5,6,2,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,6,1,2,4,5]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,7,6,1,2,5,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,7,6,1,4,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,6,1,5,2,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,6,2,1,4,5]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,7,6,2,1,5,4]=>[5,7,6,4,1,3,2]=>[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)=>1
[3,7,6,2,4,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,6,2,5,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,6,4,1,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,6,4,2,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,6,5,1,2,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[3,7,6,5,2,1,4]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,1,2,3,5,6,7]=>[4,2,3,1,5,6,7]=>[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)=>2
[4,1,2,3,6,5,7]=>[4,2,3,1,6,5,7]=>[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)=>2
[4,1,2,5,3,6,7]=>[5,2,3,4,1,6,7]=>[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)=>2
[4,1,2,5,6,3,7]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,2,5,7,3,6]=>[6,2,3,4,7,1,5]=>[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)=>2
[4,1,2,6,3,5,7]=>[5,2,3,6,1,4,7]=>[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)=>1
[4,1,2,6,3,7,5]=>[5,2,3,7,1,6,4]=>[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)=>2
[4,1,2,6,5,3,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,2,6,7,3,5]=>[6,2,3,7,5,1,4]=>[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)=>2
[4,1,2,7,3,5,6]=>[5,2,3,7,1,6,4]=>[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)=>2
[4,1,2,7,3,6,5]=>[5,2,3,7,1,6,4]=>[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)=>2
[4,1,2,7,5,3,6]=>[6,2,3,7,5,1,4]=>[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)=>2
[4,1,2,7,6,3,5]=>[6,2,3,7,5,1,4]=>[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)=>2
[4,1,3,2,5,6,7]=>[4,2,3,1,5,6,7]=>[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)=>2
[4,1,3,2,6,5,7]=>[4,2,3,1,6,5,7]=>[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)=>2
[4,1,3,5,2,6,7]=>[5,2,3,4,1,6,7]=>[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)=>2
[4,1,3,5,6,2,7]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,3,5,7,2,6]=>[6,2,3,4,7,1,5]=>[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)=>2
[4,1,3,6,2,5,7]=>[5,2,3,6,1,4,7]=>[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)=>1
[4,1,3,6,2,7,5]=>[5,2,3,7,1,6,4]=>[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)=>2
[4,1,3,6,5,2,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,3,6,7,2,5]=>[6,2,3,7,5,1,4]=>[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)=>2
[4,1,3,7,2,5,6]=>[5,2,3,7,1,6,4]=>[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)=>2
[4,1,3,7,2,6,5]=>[5,2,3,7,1,6,4]=>[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)=>2
[4,1,3,7,5,2,6]=>[6,2,3,7,5,1,4]=>[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)=>2
[4,1,3,7,6,2,5]=>[6,2,3,7,5,1,4]=>[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)=>2
[4,1,5,2,3,6,7]=>[5,2,4,3,1,6,7]=>[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)=>2
[4,1,5,2,6,3,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,5,2,7,3,6]=>[6,2,4,3,7,1,5]=>[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)=>1
[4,1,5,3,2,6,7]=>[5,2,4,3,1,6,7]=>[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)=>2
[4,1,5,3,6,2,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,5,3,7,2,6]=>[6,2,4,3,7,1,5]=>[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)=>1
[4,1,5,6,2,3,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,5,6,3,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,5,7,2,3,6]=>[6,2,5,7,3,1,4]=>[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)=>1
[4,1,5,7,3,2,6]=>[6,2,5,7,3,1,4]=>[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)=>1
[4,1,6,2,3,5,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[4,1,6,2,3,7,5]=>[5,2,7,4,1,6,3]=>[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)=>1
[4,1,6,2,5,3,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,6,2,7,3,5]=>[6,2,7,4,5,1,3]=>[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)=>2
[4,1,6,3,2,5,7]=>[5,2,6,4,1,3,7]=>[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)=>1
[4,1,6,3,2,7,5]=>[5,2,7,4,1,6,3]=>[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)=>1
[4,1,6,3,5,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,6,3,7,2,5]=>[6,2,7,4,5,1,3]=>[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)=>2
[4,1,6,5,2,3,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,6,5,3,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,1,6,7,2,3,5]=>[6,2,7,5,4,1,3]=>[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)=>1
[4,1,6,7,3,2,5]=>[6,2,7,5,4,1,3]=>[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)=>1
[4,1,7,2,3,5,6]=>[5,2,7,4,1,6,3]=>[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)=>1
[4,1,7,2,3,6,5]=>[5,2,7,4,1,6,3]=>[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)=>1
[4,1,7,2,5,3,6]=>[6,2,7,4,5,1,3]=>[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)=>2
[4,1,7,2,6,3,5]=>[6,2,7,4,5,1,3]=>[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)=>2
[4,1,7,3,2,5,6]=>[5,2,7,4,1,6,3]=>[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)=>1
[4,1,7,3,2,6,5]=>[5,2,7,4,1,6,3]=>[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)=>1
[4,1,7,3,5,2,6]=>[6,2,7,4,5,1,3]=>[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)=>2
[4,1,7,3,6,2,5]=>[6,2,7,4,5,1,3]=>[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)=>2
[4,1,7,5,2,3,6]=>[6,2,7,5,4,1,3]=>[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)=>1
[4,1,7,5,3,2,6]=>[6,2,7,5,4,1,3]=>[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)=>1
[4,1,7,6,2,3,5]=>[6,2,7,5,4,1,3]=>[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)=>1
[4,1,7,6,3,2,5]=>[6,2,7,5,4,1,3]=>[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)=>1
[4,2,1,3,5,6,7]=>[4,3,2,1,5,6,7]=>[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)=>3
[4,2,1,3,6,5,7]=>[4,3,2,1,6,5,7]=>[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)=>3
[4,2,1,5,3,6,7]=>[5,3,2,4,1,6,7]=>[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)=>2
[4,2,1,5,6,3,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,5,7,3,6]=>[6,3,2,4,7,1,5]=>[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)=>1
[4,2,1,6,3,5,7]=>[5,3,2,6,1,4,7]=>[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)=>1
[4,2,1,6,3,7,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,2,1,6,5,3,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,6,7,3,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,2,1,7,3,5,6]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,2,1,7,3,6,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,2,1,7,5,3,6]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,2,1,7,6,3,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[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)=>3
[4,2,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[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)=>3
[4,2,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[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)=>2
[4,2,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[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)=>1
[4,2,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[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)=>1
[4,2,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,2,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,2,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,2,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,2,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,2,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[4,2,5,1,6,3,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,1,7,3,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[4,2,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[4,2,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[4,2,5,6,1,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,2,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,2,5,7,1,3,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[4,2,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[4,2,6,1,3,5,7]=>[5,4,6,2,1,3,7]=>[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)=>2
[4,2,6,1,3,7,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,2,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[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)=>2
[4,2,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,2,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,2,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,2,6,5,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,2,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,2,6,7,1,3,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,2,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,2,7,1,3,5,6]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,2,7,1,3,6,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,2,7,1,5,3,6]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,2,7,1,6,3,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,2,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,2,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,2,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,2,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,2,7,5,1,3,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,2,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,2,7,6,1,3,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,2,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,3,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[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)=>3
[4,3,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[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)=>3
[4,3,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[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)=>2
[4,3,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,3,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[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)=>1
[4,3,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[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)=>1
[4,3,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,3,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,3,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,3,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,3,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,3,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,3,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[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)=>3
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[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)=>3
[4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[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)=>2
[4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,3,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[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)=>1
[4,3,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[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)=>1
[4,3,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,3,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,3,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,3,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,3,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[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)=>2
[4,3,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,3,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[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)=>1
[4,3,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[4,3,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,3,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,3,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[4,3,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,3,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[4,3,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[4,3,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[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)=>2
[4,3,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,3,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,3,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,3,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[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)=>2
[4,3,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,3,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,3,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,3,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,3,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,3,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,3,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,3,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,3,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,3,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,3,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,3,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,3,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[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)=>1
[4,3,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,3,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[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)=>1
[4,3,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,3,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,3,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,3,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,5,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[4,5,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[4,5,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[4,5,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[4,5,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,5,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,5,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[4,5,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[4,5,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[4,5,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[4,5,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[4,5,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,5,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,5,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[4,5,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[4,5,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[4,5,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[4,5,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,5,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[4,5,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,5,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,5,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,5,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,5,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,5,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,5,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,5,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,5,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,5,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,5,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[4,6,1,2,3,5,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[4,6,1,2,3,7,5]=>[5,7,3,4,1,6,2]=>[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)=>1
[4,6,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,6,1,2,7,3,5]=>[6,7,3,4,5,1,2]=>[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)=>2
[4,6,1,3,2,5,7]=>[5,6,3,4,1,2,7]=>[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)=>3
[4,6,1,3,2,7,5]=>[5,7,3,4,1,6,2]=>[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)=>1
[4,6,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,6,1,3,7,2,5]=>[6,7,3,4,5,1,2]=>[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)=>2
[4,6,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,6,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[4,6,1,7,2,3,5]=>[6,7,3,5,4,1,2]=>[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)=>1
[4,6,1,7,3,2,5]=>[6,7,3,5,4,1,2]=>[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)=>1
[4,6,2,1,3,5,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[4,6,2,1,3,7,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,6,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,2,1,7,3,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,6,2,3,1,5,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[4,6,2,3,1,7,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,6,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,2,3,7,1,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,6,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,2,7,1,3,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,6,2,7,3,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,6,3,1,2,5,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[4,6,3,1,2,7,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,6,3,2,1,5,7]=>[5,6,4,3,1,2,7]=>[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)=>4
[4,6,3,2,1,7,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,6,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,3,2,7,1,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,6,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,3,7,1,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,6,3,7,2,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,6,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[4,6,7,1,2,3,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,6,7,1,3,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,6,7,2,1,3,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,6,7,2,3,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,6,7,3,1,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,6,7,3,2,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,1,2,3,5,6]=>[5,7,3,4,1,6,2]=>[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)=>1
[4,7,1,2,3,6,5]=>[5,7,3,4,1,6,2]=>[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)=>1
[4,7,1,2,5,3,6]=>[6,7,3,4,5,1,2]=>[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)=>2
[4,7,1,2,6,3,5]=>[6,7,3,4,5,1,2]=>[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)=>2
[4,7,1,3,2,5,6]=>[5,7,3,4,1,6,2]=>[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)=>1
[4,7,1,3,2,6,5]=>[5,7,3,4,1,6,2]=>[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)=>1
[4,7,1,3,5,2,6]=>[6,7,3,4,5,1,2]=>[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)=>2
[4,7,1,3,6,2,5]=>[6,7,3,4,5,1,2]=>[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)=>2
[4,7,1,5,2,3,6]=>[6,7,3,5,4,1,2]=>[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)=>1
[4,7,1,5,3,2,6]=>[6,7,3,5,4,1,2]=>[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)=>1
[4,7,1,6,2,3,5]=>[6,7,3,5,4,1,2]=>[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)=>1
[4,7,1,6,3,2,5]=>[6,7,3,5,4,1,2]=>[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)=>1
[4,7,2,1,3,5,6]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,7,2,1,3,6,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,7,2,1,5,3,6]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,7,2,1,6,3,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,7,2,3,1,5,6]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,7,2,3,1,6,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,7,2,3,5,1,6]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,7,2,3,6,1,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,7,2,5,1,3,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,2,5,3,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,2,6,1,3,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,2,6,3,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,3,1,2,5,6]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,7,3,1,2,6,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,7,3,1,5,2,6]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,7,3,1,6,2,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,7,3,2,1,5,6]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,7,3,2,1,6,5]=>[5,7,4,3,1,6,2]=>[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)=>1
[4,7,3,2,5,1,6]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,7,3,2,6,1,5]=>[6,7,4,3,5,1,2]=>[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)=>1
[4,7,3,5,1,2,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,3,5,2,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,3,6,1,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,3,6,2,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,5,1,2,3,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,5,1,3,2,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,5,2,1,3,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,5,2,3,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,5,3,1,2,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,5,3,2,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,6,1,2,3,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,6,1,3,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,6,2,1,3,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,6,2,3,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,6,3,1,2,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[4,7,6,3,2,1,5]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,1,2,3,4,6,7]=>[5,2,3,4,1,6,7]=>[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)=>2
[5,1,2,3,6,4,7]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,2,3,7,4,6]=>[6,2,3,4,7,1,5]=>[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)=>2
[5,1,2,4,3,6,7]=>[5,2,3,4,1,6,7]=>[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)=>2
[5,1,2,4,6,3,7]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,2,4,7,3,6]=>[6,2,3,4,7,1,5]=>[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)=>2
[5,1,2,6,3,4,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,2,6,4,3,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,2,7,3,4,6]=>[6,2,3,7,5,1,4]=>[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)=>2
[5,1,2,7,4,3,6]=>[6,2,3,7,5,1,4]=>[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)=>2
[5,1,3,2,4,6,7]=>[5,2,4,3,1,6,7]=>[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)=>2
[5,1,3,2,6,4,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,3,2,7,4,6]=>[6,2,4,3,7,1,5]=>[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)=>1
[5,1,3,4,2,6,7]=>[5,2,4,3,1,6,7]=>[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)=>2
[5,1,3,4,6,2,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,3,4,7,2,6]=>[6,2,4,3,7,1,5]=>[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)=>1
[5,1,3,6,2,4,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,3,6,4,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,3,7,2,4,6]=>[6,2,5,7,3,1,4]=>[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)=>1
[5,1,3,7,4,2,6]=>[6,2,5,7,3,1,4]=>[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)=>1
[5,1,4,2,3,6,7]=>[5,2,4,3,1,6,7]=>[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)=>2
[5,1,4,2,6,3,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,4,2,7,3,6]=>[6,2,4,3,7,1,5]=>[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)=>1
[5,1,4,3,2,6,7]=>[5,2,4,3,1,6,7]=>[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)=>2
[5,1,4,3,6,2,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,4,3,7,2,6]=>[6,2,4,3,7,1,5]=>[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)=>1
[5,1,4,6,2,3,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,4,6,3,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,4,7,2,3,6]=>[6,2,5,7,3,1,4]=>[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)=>1
[5,1,4,7,3,2,6]=>[6,2,5,7,3,1,4]=>[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)=>1
[5,1,6,2,3,4,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,6,2,4,3,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,6,3,2,4,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,6,3,4,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,6,4,2,3,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,6,4,3,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,7,2,3,4,6]=>[6,2,7,4,5,1,3]=>[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)=>2
[5,1,7,2,4,3,6]=>[6,2,7,4,5,1,3]=>[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)=>2
[5,1,7,3,2,4,6]=>[6,2,7,5,4,1,3]=>[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)=>1
[5,1,7,3,4,2,6]=>[6,2,7,5,4,1,3]=>[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)=>1
[5,1,7,4,2,3,6]=>[6,2,7,5,4,1,3]=>[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)=>1
[5,1,7,4,3,2,6]=>[6,2,7,5,4,1,3]=>[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)=>1
[5,2,1,3,4,6,7]=>[5,3,2,4,1,6,7]=>[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)=>2
[5,2,1,3,6,4,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,3,7,4,6]=>[6,3,2,4,7,1,5]=>[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)=>1
[5,2,1,4,3,6,7]=>[5,3,2,4,1,6,7]=>[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)=>2
[5,2,1,4,6,3,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,4,7,3,6]=>[6,3,2,4,7,1,5]=>[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)=>1
[5,2,1,6,3,4,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,6,4,3,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,7,3,4,6]=>[6,3,2,7,5,1,4]=>[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)=>1
[5,2,1,7,4,3,6]=>[6,3,2,7,5,1,4]=>[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)=>1
[5,2,3,1,4,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,2,3,1,6,4,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,1,7,4,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,2,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,2,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,2,3,7,1,4,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,2,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,2,4,1,3,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,2,4,1,6,3,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,1,7,3,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,2,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,2,4,6,1,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,2,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,2,4,7,1,3,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,2,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,2,6,1,3,4,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[5,2,6,1,4,3,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[5,2,6,3,1,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,2,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,2,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,2,7,1,3,4,6]=>[6,4,7,2,5,1,3]=>[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)=>1
[5,2,7,1,4,3,6]=>[6,4,7,2,5,1,3]=>[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)=>1
[5,2,7,3,1,4,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,2,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,2,7,4,1,3,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,2,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,3,1,2,4,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,3,1,2,6,4,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,1,2,7,4,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,3,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,3,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,3,1,6,2,4,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,3,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,3,1,7,2,4,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,3,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,3,2,1,4,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,3,2,1,6,4,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,2,1,7,4,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,3,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,3,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,3,2,7,1,4,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,3,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,3,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,3,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,3,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,3,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,3,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,3,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,3,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,3,6,1,2,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,3,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,3,6,2,1,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,3,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,3,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,3,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,3,7,1,2,4,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,3,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,3,7,2,1,4,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,3,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,3,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,3,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,4,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,4,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,4,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,4,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,4,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,4,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,4,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,4,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,4,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,4,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,4,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,4,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,4,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,4,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,4,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,4,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,4,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,4,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[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)=>4
[5,4,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[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)=>3
[5,4,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,4,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,4,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[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)=>2
[5,4,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,4,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,4,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,4,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,4,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,4,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,4,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,4,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,4,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,4,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[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)=>2
[5,6,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,6,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,6,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,6,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,6,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,6,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[5,6,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,6,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[5,7,1,2,3,4,6]=>[6,7,3,4,5,1,2]=>[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)=>2
[5,7,1,2,4,3,6]=>[6,7,3,4,5,1,2]=>[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)=>2
[5,7,1,3,2,4,6]=>[6,7,3,5,4,1,2]=>[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)=>1
[5,7,1,3,4,2,6]=>[6,7,3,5,4,1,2]=>[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)=>1
[5,7,1,4,2,3,6]=>[6,7,3,5,4,1,2]=>[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)=>1
[5,7,1,4,3,2,6]=>[6,7,3,5,4,1,2]=>[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)=>1
[5,7,2,1,3,4,6]=>[6,7,4,3,5,1,2]=>[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)=>1
[5,7,2,1,4,3,6]=>[6,7,4,3,5,1,2]=>[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)=>1
[5,7,2,3,1,4,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,2,3,4,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,2,4,1,3,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,2,4,3,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,3,1,2,4,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,3,1,4,2,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,3,2,1,4,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,3,2,4,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,3,4,1,2,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,3,4,2,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,4,1,2,3,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,4,1,3,2,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,4,2,1,3,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,4,2,3,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,4,3,1,2,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[5,7,4,3,2,1,6]=>[6,7,5,4,3,1,2]=>[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)=>3
[6,1,2,3,4,5,7]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,2,3,5,4,7]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,2,4,3,5,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,2,4,5,3,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,2,5,3,4,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,2,5,4,3,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,3,2,4,5,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,3,2,5,4,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,3,4,2,5,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,3,4,5,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,3,5,2,4,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,3,5,4,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,4,2,3,5,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,4,2,5,3,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,4,3,2,5,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,4,3,5,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,4,5,2,3,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,4,5,3,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,5,2,3,4,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,5,2,4,3,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,5,3,2,4,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,5,3,4,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,5,4,2,3,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,5,4,3,2,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,3,4,5,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,3,5,4,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,4,3,5,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,4,5,3,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,5,3,4,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,5,4,3,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,1,4,5,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,1,5,4,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,4,1,5,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,2,3,5,1,4,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,2,4,1,3,5,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,4,1,5,3,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,4,3,1,5,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,2,4,5,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,2,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,2,5,1,3,4,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,5,1,4,3,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,5,3,1,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,2,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,2,5,4,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,1,2,4,5,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,1,2,5,4,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,1,4,2,5,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,3,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,3,1,5,2,4,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,3,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,3,2,1,4,5,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,1,5,4,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,4,1,5,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,3,2,5,1,4,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,3,4,1,2,5,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,4,2,1,5,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,5,1,2,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,5,2,1,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,3,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,1,2,3,5,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,4,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,4,1,3,2,5,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,4,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,4,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,4,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,4,2,1,3,5,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,2,3,1,5,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,3,1,2,5,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,3,2,1,5,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,4,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,5,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,5,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,5,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,5,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[6,5,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>6
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Description
The largest multiplicity of a distance Laplacian eigenvalue in a connected graph.
The distance Laplacian of a graph is the (symmetric) matrix with row and column sums $0$, which has the negative distances between two vertices as its off-diagonal entries. This statistic is the largest multiplicity of an eigenvalue.
For example, the cycle on four vertices has distance Laplacian
$$ \left(\begin{array}{rrrr} 4 & -1 & -2 & -1 \\ -1 & 4 & -1 & -2 \\ -2 & -1 & 4 & -1 \\ -1 & -2 & -1 & 4 \end{array}\right). $$
Its eigenvalues are $0,4,4,6$, so the statistic is $2$.
The path on four vertices has eigenvalues $0, 4.7\dots, 6, 9.2\dots$ and therefore statistic $1$.
The distance Laplacian of a graph is the (symmetric) matrix with row and column sums $0$, which has the negative distances between two vertices as its off-diagonal entries. This statistic is the largest multiplicity of an eigenvalue.
For example, the cycle on four vertices has distance Laplacian
$$ \left(\begin{array}{rrrr} 4 & -1 & -2 & -1 \\ -1 & 4 & -1 & -2 \\ -2 & -1 & 4 & -1 \\ -1 & -2 & -1 & 4 \end{array}\right). $$
Its eigenvalues are $0,4,4,6$, so the statistic is $2$.
The path on four vertices has eigenvalues $0, 4.7\dots, 6, 9.2\dots$ and therefore statistic $1$.
Map
Demazure product with inverse
Description
This map sends a permutation $\pi$ to $\pi^{-1} \star \pi$ where $\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
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
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.
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