Identifier
-
Mp00068:
Permutations
—Simion-Schmidt map⟶
Permutations
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
St000259: Graphs ⟶ ℤ
Values
=>
Cc0020;cc-rep
[1]=>[1]=>[1]=>([],1)=>0
[1,2]=>[1,2]=>[2,1]=>([(0,1)],2)=>1
[1,2,3]=>[1,3,2]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>1
[1,3,2]=>[1,3,2]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>1
[3,1,2]=>[3,1,2]=>[3,1,2]=>([(0,2),(1,2)],3)=>2
[1,2,3,4]=>[1,4,3,2]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[1,2,4,3]=>[1,4,3,2]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[1,3,2,4]=>[1,4,3,2]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[1,3,4,2]=>[1,4,3,2]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[1,4,2,3]=>[1,4,3,2]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[1,4,3,2]=>[1,4,3,2]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[3,1,2,4]=>[3,1,4,2]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[3,1,4,2]=>[3,1,4,2]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[3,4,1,2]=>[3,4,1,2]=>[4,1,2,3]=>([(0,3),(1,3),(2,3)],4)=>2
[4,1,2,3]=>[4,1,3,2]=>[4,3,1,2]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
[4,1,3,2]=>[4,1,3,2]=>[4,3,1,2]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
[4,2,1,3]=>[4,2,1,3]=>[2,4,1,3]=>([(0,3),(1,2),(2,3)],4)=>3
[4,3,1,2]=>[4,3,1,2]=>[4,2,1,3]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[1,2,3,4,5]=>[1,5,4,3,2]=>[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)=>1
[1,2,3,5,4]=>[1,5,4,3,2]=>[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)=>1
[1,2,4,3,5]=>[1,5,4,3,2]=>[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)=>1
[1,2,4,5,3]=>[1,5,4,3,2]=>[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)=>1
[1,2,5,3,4]=>[1,5,4,3,2]=>[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)=>1
[1,2,5,4,3]=>[1,5,4,3,2]=>[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)=>1
[1,3,2,4,5]=>[1,5,4,3,2]=>[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)=>1
[1,3,2,5,4]=>[1,5,4,3,2]=>[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)=>1
[1,3,4,2,5]=>[1,5,4,3,2]=>[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)=>1
[1,3,4,5,2]=>[1,5,4,3,2]=>[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)=>1
[1,3,5,2,4]=>[1,5,4,3,2]=>[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)=>1
[1,3,5,4,2]=>[1,5,4,3,2]=>[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)=>1
[1,4,2,3,5]=>[1,5,4,3,2]=>[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)=>1
[1,4,2,5,3]=>[1,5,4,3,2]=>[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)=>1
[1,4,3,2,5]=>[1,5,4,3,2]=>[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)=>1
[1,4,3,5,2]=>[1,5,4,3,2]=>[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)=>1
[1,4,5,2,3]=>[1,5,4,3,2]=>[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)=>1
[1,4,5,3,2]=>[1,5,4,3,2]=>[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)=>1
[1,5,2,3,4]=>[1,5,4,3,2]=>[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)=>1
[1,5,2,4,3]=>[1,5,4,3,2]=>[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)=>1
[1,5,3,2,4]=>[1,5,4,3,2]=>[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)=>1
[1,5,3,4,2]=>[1,5,4,3,2]=>[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)=>1
[1,5,4,2,3]=>[1,5,4,3,2]=>[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)=>1
[1,5,4,3,2]=>[1,5,4,3,2]=>[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)=>1
[3,1,2,4,5]=>[3,1,5,4,2]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,1,2,5,4]=>[3,1,5,4,2]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,1,4,2,5]=>[3,1,5,4,2]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,1,4,5,2]=>[3,1,5,4,2]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,1,5,2,4]=>[3,1,5,4,2]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,1,5,4,2]=>[3,1,5,4,2]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,4,1,2,5]=>[3,5,1,4,2]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,4,1,5,2]=>[3,5,1,4,2]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,4,2,1,5]=>[3,5,2,1,4]=>[3,1,5,2,4]=>([(0,4),(1,3),(2,3),(2,4)],5)=>4
[3,4,5,1,2]=>[3,5,4,1,2]=>[5,1,3,2,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,5,1,2,4]=>[3,5,1,4,2]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,5,1,4,2]=>[3,5,1,4,2]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,5,2,1,4]=>[3,5,2,1,4]=>[3,1,5,2,4]=>([(0,4),(1,3),(2,3),(2,4)],5)=>4
[3,5,4,1,2]=>[3,5,4,1,2]=>[5,1,3,2,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,1,2,3,5]=>[4,1,5,3,2]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,1,2,5,3]=>[4,1,5,3,2]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,1,3,2,5]=>[4,1,5,3,2]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,1,3,5,2]=>[4,1,5,3,2]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,1,5,2,3]=>[4,1,5,3,2]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,1,5,3,2]=>[4,1,5,3,2]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,2,1,3,5]=>[4,2,1,5,3]=>[2,5,1,4,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,2,1,5,3]=>[4,2,1,5,3]=>[2,5,1,4,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,2,3,1,5]=>[4,2,5,1,3]=>[2,5,1,3,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>3
[4,2,5,1,3]=>[4,2,5,1,3]=>[2,5,1,3,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>3
[4,3,1,2,5]=>[4,3,1,5,2]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[4,3,1,5,2]=>[4,3,1,5,2]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[4,3,5,1,2]=>[4,3,5,1,2]=>[5,2,1,3,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,5,1,2,3]=>[4,5,1,3,2]=>[5,4,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,5,1,3,2]=>[4,5,1,3,2]=>[5,4,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,5,2,1,3]=>[4,5,2,1,3]=>[3,5,1,2,4]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>3
[4,5,3,1,2]=>[4,5,3,1,2]=>[5,3,1,2,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,1,2,3,4]=>[5,1,4,3,2]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,1,2,4,3]=>[5,1,4,3,2]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,1,3,2,4]=>[5,1,4,3,2]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,1,3,4,2]=>[5,1,4,3,2]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,1,4,2,3]=>[5,1,4,3,2]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,1,4,3,2]=>[5,1,4,3,2]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,2,1,3,4]=>[5,2,1,4,3]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,2,1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,2,3,1,4]=>[5,2,4,1,3]=>[2,5,3,1,4]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,2,4,1,3]=>[5,2,4,1,3]=>[2,5,3,1,4]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,3,1,2,4]=>[5,3,1,4,2]=>[5,2,4,1,3]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,3,1,4,2]=>[5,3,1,4,2]=>[5,2,4,1,3]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,3,2,1,4]=>[5,3,2,1,4]=>[3,2,5,1,4]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,3,4,1,2]=>[5,3,4,1,2]=>[5,2,3,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,4,1,2,3]=>[5,4,1,3,2]=>[5,4,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,4,1,3,2]=>[5,4,1,3,2]=>[5,4,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[5,4,2,1,3]=>[5,4,2,1,3]=>[3,5,2,1,4]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,4,3,1,2]=>[5,4,3,1,2]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[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)=>1
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[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)=>1
[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[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
[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[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
[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[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
[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[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
[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[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
[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[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
[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>4
[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>4
[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[3,1,6,4,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[3,1,6,4,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[4,1,6,3,2,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[6,1,4,3,2,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[4,1,6,3,2,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[6,1,4,3,2,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[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
[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[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
[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[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
[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[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
[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[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
[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[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
[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>4
[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>4
[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[3,1,6,4,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[3,1,6,4,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[4,1,6,3,2,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[6,1,4,3,2,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[4,1,6,3,2,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[6,1,4,3,2,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[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
[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[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
[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[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
[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[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
[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[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
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[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
[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>4
[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>4
[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[3,1,6,4,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[3,1,6,4,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[4,1,6,3,2,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[6,1,4,3,2,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[4,1,6,3,2,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[6,1,4,3,2,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>[2,6,1,5,4,3]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,2,1,3,6,5]=>[4,2,1,6,5,3]=>[2,6,1,5,4,3]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,2,1,5,3,6]=>[4,2,1,6,5,3]=>[2,6,1,5,4,3]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,2,1,5,6,3]=>[4,2,1,6,5,3]=>[2,6,1,5,4,3]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,2,1,6,3,5]=>[4,2,1,6,5,3]=>[2,6,1,5,4,3]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[2,6,1,5,4,3]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>3
[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>3
[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>3
[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>3
[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>3
[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>3
[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,1,2,6,5]=>[4,3,1,6,5,2]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,1,5,2,6]=>[4,3,1,6,5,2]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,1,5,6,2]=>[4,3,1,6,5,2]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,1,6,2,5]=>[4,3,1,6,5,2]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[6,2,1,5,3,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[6,2,1,5,3,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[4,2,1,6,3,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>4
[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[6,2,1,4,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>2
[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[6,2,1,5,3,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[6,2,1,5,3,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[4,2,1,6,3,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>4
[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[6,2,1,4,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>2
[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[3,6,1,5,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[3,6,1,5,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[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)=>2
[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[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)=>2
[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[4,3,1,6,2,5]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>4
[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[6,3,1,4,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[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
[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[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
[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[4,6,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[6,4,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[3,6,1,5,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[3,6,1,5,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[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)=>2
[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[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)=>2
[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[4,3,1,6,2,5]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>4
[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[6,3,1,4,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[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
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[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
[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[4,6,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[6,4,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>[2,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,1,3,6,4]=>[5,2,1,6,4,3]=>[2,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,1,4,3,6]=>[5,2,1,6,4,3]=>[2,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,1,4,6,3]=>[5,2,1,6,4,3]=>[2,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,1,6,3,4]=>[5,2,1,6,4,3]=>[2,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[2,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>[6,2,5,1,4,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,1,2,6,4]=>[5,3,1,6,4,2]=>[6,2,5,1,4,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,1,4,2,6]=>[5,3,1,6,4,2]=>[6,2,5,1,4,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,1,4,6,2]=>[5,3,1,6,4,2]=>[6,2,5,1,4,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,1,6,2,4]=>[5,3,1,6,4,2]=>[6,2,5,1,4,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[6,2,5,1,4,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,2,1,4,6]=>[5,3,2,1,6,4]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[3,2,6,1,4,5]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[3,2,6,1,4,5]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[6,2,5,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[6,2,5,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[4,2,6,1,3,5]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[6,2,4,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[6,2,5,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[6,2,5,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[4,2,6,1,3,5]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[6,2,4,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,1,2,6,3]=>[5,4,1,6,3,2]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,1,3,2,6]=>[5,4,1,6,3,2]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,1,3,6,2]=>[5,4,1,6,3,2]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,1,6,2,3]=>[5,4,1,6,3,2]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,2,1,3,6]=>[5,4,2,1,6,3]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,3,1,6]=>[5,4,2,6,1,3]=>[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,3,1,2,6]=>[5,4,3,1,6,2]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,3,1,6,2]=>[5,4,3,1,6,2]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[6,3,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[6,5,2,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[6,5,2,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[4,6,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[6,4,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[3,6,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[3,6,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[3,6,4,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>3
[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[3,6,4,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>3
[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[6,3,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[6,3,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[4,3,6,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[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
[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[6,5,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[6,5,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[4,6,3,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[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
[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,1,3,5,4]=>[6,2,1,5,4,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,1,4,3,5]=>[6,2,1,5,4,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,1,4,5,3]=>[6,2,1,5,4,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,1,5,3,4]=>[6,2,1,5,4,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[2,6,5,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[2,6,5,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[2,6,4,3,1,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[2,6,4,3,1,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[2,6,5,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[2,6,5,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[2,6,4,3,1,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[2,6,4,3,1,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[2,6,5,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[2,6,5,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[2,6,4,3,1,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[2,6,4,3,1,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,1,2,5,4]=>[6,3,1,5,4,2]=>[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,1,4,2,5]=>[6,3,1,5,4,2]=>[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,1,4,5,2]=>[6,3,1,5,4,2]=>[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,1,5,2,4]=>[6,3,1,5,4,2]=>[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,2,1,4,5]=>[6,3,2,1,5,4]=>[3,2,6,5,1,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[3,2,6,5,1,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,3,2,4,1,5]=>[6,3,2,5,1,4]=>[3,2,6,4,1,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[3,2,6,4,1,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[6,2,5,3,1,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[6,2,5,3,1,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[4,2,6,3,1,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>3
[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[6,2,4,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[6,2,5,3,1,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[6,2,5,3,1,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[4,2,6,3,1,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>3
[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[6,2,4,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>[6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,1,2,5,3]=>[6,4,1,5,3,2]=>[6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,1,3,2,5]=>[6,4,1,5,3,2]=>[6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,1,3,5,2]=>[6,4,1,5,3,2]=>[6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,1,5,2,3]=>[6,4,1,5,3,2]=>[6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,2,1,3,5]=>[6,4,2,1,5,3]=>[3,6,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,4,2,1,5,3]=>[6,4,2,1,5,3]=>[3,6,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,4,2,3,1,5]=>[6,4,2,5,1,3]=>[3,6,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[3,6,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,4,3,1,2,5]=>[6,4,3,1,5,2]=>[6,3,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,3,1,5,2]=>[6,4,3,1,5,2]=>[6,3,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[4,3,2,6,1,5]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[6,3,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[6,5,2,3,1,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[6,5,2,3,1,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[4,6,2,3,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[6,4,2,3,1,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,1,2,4,3]=>[6,5,1,4,3,2]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,1,3,2,4]=>[6,5,1,4,3,2]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,1,3,4,2]=>[6,5,1,4,3,2]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,1,4,2,3]=>[6,5,1,4,3,2]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,2,1,3,4]=>[6,5,2,1,4,3]=>[3,6,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[3,6,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,5,2,3,1,4]=>[6,5,2,4,1,3]=>[3,6,4,2,1,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[3,6,4,2,1,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,5,3,1,2,4]=>[6,5,3,1,4,2]=>[6,3,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,3,1,4,2]=>[6,5,3,1,4,2]=>[6,3,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[4,3,6,2,1,5]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[6,3,4,2,1,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,4,1,2,3]=>[6,5,4,1,3,2]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[4,6,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[1,2,3,4,5,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,4,5,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,4,6,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,4,6,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,4,7,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,4,7,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,5,4,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,5,4,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,5,6,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,5,6,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,5,7,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,5,7,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,6,4,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,6,4,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,6,5,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,6,5,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,6,7,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,6,7,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,7,4,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,7,4,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,7,5,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,7,5,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,7,6,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,3,7,6,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,3,5,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,3,5,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,3,6,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,3,6,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,3,7,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,3,7,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,5,3,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,5,3,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,5,6,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,5,6,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,5,7,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,5,7,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,6,3,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,6,3,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,6,5,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,6,5,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,6,7,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,6,7,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,7,3,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,7,3,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,7,5,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,7,5,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,7,6,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,4,7,6,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,3,4,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,3,4,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,3,6,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,3,6,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,3,7,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,3,7,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,4,3,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,4,3,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,4,6,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,4,6,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,4,7,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,4,7,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,6,3,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,6,3,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,6,4,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,6,4,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,6,7,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,6,7,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,7,3,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,7,3,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,7,4,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,7,4,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,7,6,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,5,7,6,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,3,4,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,3,4,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,3,5,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,3,5,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,3,7,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,3,7,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,4,3,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,4,3,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,4,5,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,4,5,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,4,7,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,4,7,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,5,3,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,5,3,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,5,4,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,5,4,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,5,7,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,5,7,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,7,3,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,7,3,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,7,4,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,7,4,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,7,5,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,6,7,5,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,3,4,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,3,4,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,3,5,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,3,5,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,3,6,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,3,6,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,4,3,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,4,3,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,4,5,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,4,5,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,4,6,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,4,6,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,5,3,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,5,3,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,5,4,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,5,4,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,5,6,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,5,6,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,6,3,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,6,3,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,6,4,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,6,4,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,6,5,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,2,7,6,5,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,4,5,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,4,5,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,4,6,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,4,6,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,4,7,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,4,7,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,5,4,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,5,4,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,5,6,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,5,6,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,5,7,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,5,7,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,6,4,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,6,4,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,6,5,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,6,5,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,6,7,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,6,7,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,7,4,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,7,4,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,7,5,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,7,5,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,7,6,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,2,7,6,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,2,5,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,2,5,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,2,6,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,2,6,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,2,7,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,2,7,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,5,2,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,5,2,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,5,6,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,5,6,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,5,7,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,5,7,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,6,2,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,6,2,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,6,5,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,6,5,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,6,7,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,6,7,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,7,2,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,7,2,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,7,5,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,7,5,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,7,6,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,4,7,6,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,2,4,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,2,4,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,2,6,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,2,6,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,2,7,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,2,7,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,4,2,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,4,2,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,4,6,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,4,6,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,4,7,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,4,7,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,6,2,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,6,2,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,6,4,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,6,4,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,6,7,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,6,7,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,7,2,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,7,2,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,7,4,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,7,4,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,7,6,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,5,7,6,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,2,4,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,2,4,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,2,5,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,2,5,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,2,7,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,2,7,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,4,2,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,4,2,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,4,5,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,4,5,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,4,7,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,4,7,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,5,2,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,5,2,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,5,4,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,5,4,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,5,7,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,5,7,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,7,2,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,7,2,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,7,4,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,7,4,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,7,5,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,6,7,5,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,2,4,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,2,4,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,2,5,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,2,5,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,2,6,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,2,6,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,4,2,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,4,2,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,4,5,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,4,5,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,4,6,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,4,6,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,5,2,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,5,2,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,5,4,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,5,4,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,5,6,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,5,6,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,6,2,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,6,2,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,6,4,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,6,4,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,6,5,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,3,7,6,5,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,3,5,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,3,5,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,3,6,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,3,6,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,3,7,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,3,7,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,5,3,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,5,3,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,5,6,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,5,6,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,5,7,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,5,7,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,6,3,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,6,3,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,6,5,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,6,5,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,6,7,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,6,7,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,7,3,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,7,3,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,7,5,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,7,5,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,7,6,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,2,7,6,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,2,5,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,2,5,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,2,6,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,2,6,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,2,7,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,2,7,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,5,2,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,5,2,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,5,6,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,5,6,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,5,7,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,5,7,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,6,2,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,6,2,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,6,5,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,6,5,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,6,7,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,6,7,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,7,2,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,7,2,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,7,5,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,7,5,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,7,6,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,3,7,6,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,2,3,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,2,3,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,2,6,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,2,6,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,2,7,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,2,7,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,3,2,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,3,2,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,3,6,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,3,6,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,3,7,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,3,7,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,6,2,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,6,2,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,6,3,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,6,3,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,6,7,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,6,7,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,7,2,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,7,2,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,7,3,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,7,3,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,7,6,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,2,3,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,2,3,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,2,5,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,2,5,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,2,7,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,2,7,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,3,2,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,3,2,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,3,5,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,3,5,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,3,7,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,3,7,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,5,2,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,5,2,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,5,3,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,5,3,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,5,7,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,5,7,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,7,2,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,7,2,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,7,3,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,7,3,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,7,5,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,2,3,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,2,3,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,2,5,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,2,5,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,2,6,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,2,6,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,3,2,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,3,2,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,3,5,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,3,5,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,3,6,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,3,6,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,5,2,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,5,2,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,5,3,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,5,3,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,5,6,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,6,2,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,6,2,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,6,3,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,6,3,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,6,5,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,3,4,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,3,4,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,3,6,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,3,6,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,3,7,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,3,7,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,4,3,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,4,3,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,4,6,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,4,6,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,4,7,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,4,7,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,6,3,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,6,3,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,6,4,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,6,4,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,6,7,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,6,7,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,7,3,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,7,3,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,7,4,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,7,4,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,7,6,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,2,7,6,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,2,4,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,2,4,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,2,6,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,2,6,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,2,7,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,2,7,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,4,2,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,4,2,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,4,6,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,4,6,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,4,7,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,4,7,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,6,2,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,6,2,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,6,4,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,6,4,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,6,7,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,6,7,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,7,2,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,7,2,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,7,4,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,7,4,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,3,7,6,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,2,3,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,2,3,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,2,6,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,2,6,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,2,7,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,2,7,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,3,2,6,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,3,2,7,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,3,6,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,3,6,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,3,7,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,3,7,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,6,2,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,6,2,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,6,3,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,6,7,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,6,7,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,7,2,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,7,2,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,7,3,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,7,3,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,7,6,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,2,3,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,2,3,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,2,4,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,2,4,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,2,7,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,2,7,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,3,2,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,3,2,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,3,4,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,3,4,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,3,7,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,3,7,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,4,2,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,4,2,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,4,3,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,4,3,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,4,7,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,4,7,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,7,2,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,7,3,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,7,4,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,2,3,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,2,3,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,2,4,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,2,4,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,2,6,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,2,6,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,3,2,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,3,2,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,3,4,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,3,4,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,3,6,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,3,6,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,4,2,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,4,3,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,4,3,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,4,6,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,6,2,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,6,3,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,6,4,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,3,4,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,3,4,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,3,5,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,3,5,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,3,7,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,3,7,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,4,3,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,4,3,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,4,5,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,4,5,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,4,7,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,4,7,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,5,3,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,5,3,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,5,4,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,5,4,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,5,7,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,5,7,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,7,3,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,7,3,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,7,4,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,7,4,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,7,5,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,2,7,5,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,2,4,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,2,4,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,2,5,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,2,5,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,2,7,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,2,7,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,4,2,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,4,2,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,4,5,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,4,5,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,4,7,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,4,7,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,5,2,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,5,2,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,5,4,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,5,4,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,5,7,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,5,7,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,7,2,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,7,2,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,7,4,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,7,4,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,3,7,5,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,2,3,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,2,3,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,2,5,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,2,5,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,2,7,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,2,7,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,3,2,5,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,3,2,7,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,3,5,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,3,5,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,3,7,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,3,7,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,5,2,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,5,2,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,5,3,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,5,3,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,5,7,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,5,7,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,7,2,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,7,2,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,7,3,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,7,3,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,7,5,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,2,3,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,2,3,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,2,4,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,2,4,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,2,7,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,2,7,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,3,2,4,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,3,2,7,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,3,4,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,3,4,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,3,7,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,3,7,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,4,2,3,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,4,2,7,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,4,3,2,7]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,4,3,7,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,4,7,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,4,7,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,7,2,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,7,2,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,7,4,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,2,3,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,2,3,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,2,4,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,2,4,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,2,5,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,2,5,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,3,2,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,3,2,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,3,4,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,3,4,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,3,5,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,3,5,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,4,2,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,4,2,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,4,3,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,5,2,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,5,2,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,5,3,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,3,4,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,3,5,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,3,5,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,3,6,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,3,6,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,4,3,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,4,3,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,4,5,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,4,5,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,4,6,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,4,6,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,5,3,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,5,3,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,5,4,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,5,4,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,5,6,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,5,6,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,6,3,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,6,3,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,6,4,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,6,4,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,6,5,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,2,6,5,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,2,4,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,2,4,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,2,5,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,2,5,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,2,6,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,2,6,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,4,2,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,4,2,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,4,5,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,4,5,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,4,6,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,4,6,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,5,2,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,5,2,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,5,4,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,5,6,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,5,6,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,6,2,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,6,2,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,6,4,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,6,4,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,6,5,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,2,3,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,2,3,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,2,5,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,2,5,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,2,6,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,2,6,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,3,2,5,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,3,2,6,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,3,5,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,3,5,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,3,6,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,3,6,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,5,2,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,5,2,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,5,3,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,5,3,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,5,6,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,6,2,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,6,2,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,6,3,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,6,3,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,6,5,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,2,3,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,2,3,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,2,4,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,2,4,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,2,6,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,2,6,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,3,2,4,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,3,2,6,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,3,4,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,3,4,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,3,6,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,3,6,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,4,2,3,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,4,2,6,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,4,3,2,6]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,4,6,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,6,2,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,6,2,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,6,3,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,2,3,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,2,3,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,2,4,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,2,4,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,2,5,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,2,5,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,3,2,4,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,3,2,5,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,3,4,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,3,4,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,3,5,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,3,5,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,4,2,3,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,4,2,5,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,4,3,2,5]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,5,2,3,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,5,2,4,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,5,3,2,4]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,5,4,2,3]=>[1,7,6,5,4,3,2]=>[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)=>1
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[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)=>1
[3,1,2,4,5,6,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,4,5,7,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,4,6,5,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,4,6,7,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,4,7,5,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,4,7,6,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,5,4,6,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,5,4,7,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,5,6,4,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,5,6,7,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,5,7,4,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,5,7,6,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,6,4,5,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,6,4,7,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,6,5,4,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,6,5,7,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,6,7,4,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,6,7,5,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,7,4,5,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,7,4,6,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,7,5,4,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,7,5,6,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,7,6,4,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,7,6,5,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,2,5,6,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,2,5,7,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,2,6,5,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,2,6,7,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,2,7,5,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,2,7,6,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,5,2,6,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,5,2,7,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,5,6,2,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,5,6,7,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,5,7,2,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,5,7,6,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,6,2,5,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,6,2,7,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,6,5,2,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,6,5,7,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,6,7,2,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,6,7,5,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,7,2,5,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,7,2,6,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,7,5,2,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,7,5,6,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,7,6,2,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,7,6,5,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,2,4,6,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,2,4,7,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,2,6,4,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,2,6,7,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,2,7,4,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,2,7,6,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,4,2,6,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,4,2,7,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,4,6,2,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,4,6,7,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,4,7,2,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,4,7,6,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,6,2,4,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,6,2,7,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,6,4,2,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,6,4,7,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,6,7,2,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,6,7,4,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,7,2,4,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,7,2,6,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,7,4,2,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,7,4,6,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,7,6,2,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,5,7,6,4,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,2,4,5,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,2,4,7,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,2,5,4,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,2,5,7,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,2,7,4,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,2,7,5,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,4,2,5,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,4,2,7,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,4,5,2,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,4,5,7,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,4,7,2,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,4,7,5,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,5,2,4,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,5,2,7,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,5,4,2,7]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,5,4,7,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,5,7,2,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,5,7,4,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,7,2,4,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,7,2,5,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,7,4,2,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,7,4,5,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,7,5,2,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,6,7,5,4,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,2,4,5,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,2,4,6,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,2,5,4,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,2,5,6,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,2,6,4,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,2,6,5,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,4,2,5,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,4,2,6,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,4,5,2,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,4,5,6,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,4,6,2,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,4,6,5,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,5,2,4,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,5,2,6,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,5,4,2,6]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,5,4,6,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,5,6,2,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,5,6,4,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,6,2,4,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,6,2,5,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,6,4,2,5]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,6,4,5,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,6,5,2,4]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,1,2,5,6,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,2,5,7,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,2,6,5,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,2,6,7,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,2,7,5,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,2,7,6,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,5,2,6,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,5,2,7,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,5,6,2,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,5,6,7,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,5,7,2,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,5,7,6,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,6,2,5,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,6,2,7,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,6,5,2,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,6,5,7,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,6,7,2,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,6,7,5,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,7,2,5,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,7,2,6,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,7,5,2,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,7,5,6,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,7,6,2,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,1,7,6,5,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,4,2,1,5,6,7]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,1,5,7,6]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,1,6,5,7]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,1,6,7,5]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,1,7,5,6]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,1,7,6,5]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,5,1,6,7]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,5,1,7,6]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,5,6,1,7]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,5,7,1,6]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,6,1,5,7]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,6,1,7,5]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,6,5,1,7]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,6,7,1,5]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,7,1,5,6]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,7,1,6,5]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,7,5,1,6]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,2,7,6,1,5]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,5,1,2,6,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,1,2,7,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,1,6,2,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,1,6,7,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,1,7,2,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,1,7,6,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,2,1,6,7]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,5,2,1,7,6]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,5,2,6,1,7]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,4,5,2,7,1,6]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,4,5,6,1,2,7]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,6,1,7,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,6,2,1,7]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,4,5,6,7,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,7,1,2,6]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,7,1,6,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,5,7,2,1,6]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,4,5,7,6,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,1,2,5,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,1,2,7,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,1,5,2,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,1,5,7,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,1,7,2,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,1,7,5,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,2,1,5,7]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,6,2,1,7,5]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,6,2,5,1,7]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,4,6,2,7,1,5]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,4,6,5,1,2,7]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,5,1,7,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,5,2,1,7]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,4,6,5,7,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,7,1,2,5]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,7,1,5,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,6,7,2,1,5]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,4,6,7,5,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,1,2,5,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,1,2,6,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,1,5,2,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,1,5,6,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,1,6,2,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,1,6,5,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,2,1,5,6]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,7,2,1,6,5]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,4,7,2,5,1,6]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,4,7,2,6,1,5]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,4,7,5,1,2,6]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,5,1,6,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,5,2,1,6]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,4,7,5,6,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,6,1,2,5]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,6,1,5,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,4,7,6,2,1,5]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,4,7,6,5,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,1,2,4,6,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,2,4,7,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,2,6,4,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,2,6,7,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,2,7,4,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,2,7,6,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,4,2,6,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,4,2,7,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,4,6,2,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,4,6,7,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,4,7,2,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,4,7,6,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,6,2,4,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,6,2,7,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,6,4,2,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,6,4,7,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,6,7,2,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,6,7,4,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,7,2,4,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,7,2,6,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,7,4,2,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,7,4,6,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,7,6,2,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,1,7,6,4,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,5,2,1,4,6,7]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,1,4,7,6]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,1,6,4,7]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,1,6,7,4]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,1,7,4,6]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,1,7,6,4]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,4,1,6,7]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,4,1,7,6]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,4,6,1,7]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,4,7,1,6]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,6,1,4,7]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,6,1,7,4]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,6,4,1,7]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,6,7,1,4]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,7,1,4,6]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,7,1,6,4]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,7,4,1,6]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,2,7,6,1,4]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,4,1,2,6,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,1,2,7,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,1,6,2,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,1,6,7,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,1,7,2,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,1,7,6,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,2,1,6,7]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,4,2,1,7,6]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,4,2,6,1,7]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,5,4,2,7,1,6]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,5,4,6,1,2,7]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,6,1,7,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,6,2,1,7]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,5,4,6,7,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,7,1,2,6]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,7,1,6,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,4,7,2,1,6]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,5,4,7,6,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,1,2,4,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,1,2,7,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,1,4,2,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,1,4,7,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,1,7,2,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,1,7,4,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,2,1,4,7]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,6,2,1,7,4]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,6,2,4,1,7]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,5,6,2,7,1,4]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,5,6,4,1,2,7]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,4,1,7,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,4,2,1,7]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,5,6,4,7,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,7,1,2,4]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,7,1,4,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,6,7,2,1,4]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,5,6,7,4,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,1,2,4,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,1,2,6,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,1,4,2,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,1,4,6,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,1,6,2,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,1,6,4,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,2,1,4,6]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,7,2,1,6,4]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,5,7,2,4,1,6]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,5,7,2,6,1,4]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,5,7,4,1,2,6]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,4,1,6,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,4,2,1,6]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,5,7,4,6,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,6,1,2,4]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,6,1,4,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,5,7,6,2,1,4]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,5,7,6,4,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,1,2,4,5,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,2,4,7,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,2,5,4,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,2,5,7,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,2,7,4,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,2,7,5,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,4,2,5,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,4,2,7,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,4,5,2,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,4,5,7,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,4,7,2,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,4,7,5,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,5,2,4,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,5,2,7,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,5,4,7,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,5,7,2,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,5,7,4,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,7,2,4,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,7,2,5,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,7,4,2,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,7,4,5,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,7,5,2,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,1,7,5,4,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,6,2,1,4,5,7]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,1,4,7,5]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,1,5,4,7]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,1,5,7,4]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,1,7,4,5]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,1,7,5,4]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,4,1,5,7]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,4,1,7,5]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,4,5,1,7]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,4,7,1,5]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,5,1,4,7]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,5,1,7,4]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,5,4,1,7]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,5,7,1,4]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,7,1,4,5]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,7,1,5,4]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,7,4,1,5]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,2,7,5,1,4]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,4,1,2,5,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,1,2,7,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,1,5,2,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,1,5,7,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,1,7,2,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,1,7,5,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,2,1,5,7]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,4,2,1,7,5]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,4,2,5,1,7]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,6,4,2,7,1,5]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,6,4,5,1,2,7]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,5,1,7,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,5,2,1,7]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,6,4,5,7,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,7,1,2,5]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,7,1,5,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,4,7,2,1,5]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,6,4,7,5,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,1,2,4,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,1,2,7,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,1,4,2,7]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,1,4,7,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,1,7,2,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,1,7,4,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,2,1,4,7]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,5,2,1,7,4]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,5,2,4,1,7]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,6,5,2,7,1,4]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,6,5,4,1,2,7]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,4,1,7,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,4,2,1,7]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,6,5,4,7,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,7,1,2,4]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,7,1,4,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,7,2,1,4]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,6,5,7,4,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,1,2,4,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,1,2,5,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,1,4,2,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,1,4,5,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,1,5,2,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,1,5,4,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,2,1,4,5]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,7,2,1,5,4]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,6,7,2,4,1,5]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,6,7,2,5,1,4]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,6,7,4,1,2,5]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,4,1,5,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,4,2,1,5]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,6,7,4,5,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,5,1,2,4]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,5,1,4,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,6,7,5,2,1,4]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,6,7,5,4,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,1,2,4,5,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,2,4,6,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,2,5,4,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,2,5,6,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,2,6,4,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,2,6,5,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,4,2,5,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,4,2,6,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,4,5,2,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,4,6,2,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,5,2,4,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,5,2,6,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,5,4,2,6]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,5,6,2,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,5,6,4,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,6,2,4,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,6,2,5,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,6,4,2,5]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,6,4,5,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,6,5,2,4]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[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)=>2
[3,7,2,1,4,5,6]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,1,4,6,5]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,1,5,4,6]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,1,5,6,4]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,1,6,4,5]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,1,6,5,4]=>[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,4,1,5,6]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,4,1,6,5]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,4,5,1,6]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,4,6,1,5]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,5,1,4,6]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,5,1,6,4]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,5,4,1,6]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,5,6,1,4]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,6,1,4,5]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,6,4,1,5]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,2,6,5,1,4]=>[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,4,1,2,5,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,1,2,6,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,1,5,2,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,1,5,6,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,1,6,2,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,1,6,5,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,2,1,5,6]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,4,2,1,6,5]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,4,2,5,1,6]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,7,4,2,6,1,5]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,7,4,5,1,2,6]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,5,1,6,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,5,2,1,6]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,7,4,5,6,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,6,1,2,5]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,6,1,5,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,4,6,2,1,5]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,7,4,6,5,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,1,2,4,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,1,2,6,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,1,4,2,6]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,1,4,6,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,1,6,2,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,1,6,4,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,2,1,4,6]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,5,2,1,6,4]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,5,2,4,1,6]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,7,5,2,6,1,4]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,7,5,4,1,2,6]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,4,1,6,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,4,2,1,6]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,7,5,4,6,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,6,1,2,4]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,6,1,4,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,5,6,2,1,4]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,7,5,6,4,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,1,2,4,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,1,2,5,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,1,4,2,5]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,1,4,5,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,1,5,2,4]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,2,1,4,5]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,6,2,1,5,4]=>[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[3,7,6,2,4,1,5]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,7,6,2,5,1,4]=>[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>4
[3,7,6,4,1,2,5]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,4,1,5,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,4,2,1,5]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,7,6,4,5,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,5,1,2,4]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[3,7,6,5,2,1,4]=>[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,3,5,6,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,3,5,7,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,3,6,5,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,3,6,7,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,3,7,5,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,3,7,6,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,5,3,6,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,5,3,7,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,5,6,3,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,5,6,7,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,5,7,3,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,5,7,6,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,6,3,5,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,6,3,7,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,6,5,3,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,6,5,7,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,6,7,3,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,6,7,5,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,7,3,5,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,7,3,6,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,7,5,3,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,7,5,6,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,7,6,3,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,2,7,6,5,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,5,6,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,5,7,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,6,5,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,6,7,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,7,5,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,7,6,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,5,2,6,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,5,2,7,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,5,6,2,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,5,6,7,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,5,7,2,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,5,7,6,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,6,2,5,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,6,2,7,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,6,5,2,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,6,5,7,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,6,7,2,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,6,7,5,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,7,2,5,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,7,2,6,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,7,5,2,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,7,5,6,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,7,6,2,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,7,6,5,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,3,6,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,3,7,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,6,3,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,6,7,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,7,3,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,7,6,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,3,2,6,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,3,2,7,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,3,6,2,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,3,6,7,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,3,7,2,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,3,7,6,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,6,2,3,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,6,2,7,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,6,3,2,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,6,3,7,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,6,7,2,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,6,7,3,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,7,2,3,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,7,2,6,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,7,3,2,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,7,3,6,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,7,6,2,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,7,6,3,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,2,3,5,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,2,3,7,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,2,5,3,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,2,5,7,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,2,7,3,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,2,7,5,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,3,2,5,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,3,2,7,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,3,5,2,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,3,5,7,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,3,7,2,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,3,7,5,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,5,2,3,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,5,2,7,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,5,3,2,7]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,5,3,7,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,5,7,2,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,5,7,3,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,7,2,3,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,7,2,5,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,7,3,2,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,7,3,5,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,7,5,2,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,7,5,3,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,2,3,5,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,2,3,6,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,2,5,3,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,2,5,6,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,2,6,3,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,2,6,5,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,3,2,5,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,3,2,6,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,3,5,2,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,3,5,6,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,3,6,2,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,3,6,5,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,5,2,3,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,5,2,6,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,5,3,2,6]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,5,3,6,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,5,6,2,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,5,6,3,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,6,2,3,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,6,2,5,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,6,3,2,5]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,6,3,5,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,6,5,2,3]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,2,1,3,5,6,7]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,3,5,7,6]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,3,6,5,7]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,3,6,7,5]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,3,7,5,6]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,3,7,6,5]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,5,3,6,7]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,5,3,7,6]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,5,6,3,7]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,5,6,7,3]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,5,7,3,6]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,5,7,6,3]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,6,3,5,7]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,6,3,7,5]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,6,5,3,7]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,6,5,7,3]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,6,7,3,5]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,6,7,5,3]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,7,3,5,6]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,7,3,6,5]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,7,5,3,6]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,7,5,6,3]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,7,6,3,5]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,1,7,6,5,3]=>[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,3,1,5,7,6]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,3,1,6,5,7]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,3,1,6,7,5]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,3,1,7,5,6]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,3,5,1,6,7]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,5,1,7,6]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,5,6,1,7]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,5,7,1,6]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,6,1,5,7]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,6,1,7,5]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,6,5,1,7]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,6,7,1,5]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,7,1,5,6]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,7,1,6,5]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,7,5,1,6]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,3,7,6,1,5]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,1,3,6,7]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,5,1,3,7,6]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,5,1,6,3,7]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,5,1,6,7,3]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,5,1,7,3,6]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,5,1,7,6,3]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,5,3,1,6,7]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,3,1,7,6]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,3,6,1,7]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,3,7,1,6]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,6,1,3,7]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,6,1,7,3]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,6,3,1,7]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,6,7,1,3]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,7,1,3,6]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,7,1,6,3]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,7,3,1,6]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,5,7,6,1,3]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,1,3,5,7]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,6,1,3,7,5]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,6,1,5,7,3]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,6,1,7,3,5]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,6,1,7,5,3]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,6,3,1,5,7]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,3,1,7,5]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,3,5,1,7]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,3,7,1,5]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,5,1,3,7]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,5,1,7,3]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,5,3,1,7]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,5,7,1,3]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,7,1,3,5]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,7,1,5,3]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,7,3,1,5]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,6,7,5,1,3]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,1,3,5,6]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,7,1,3,6,5]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,7,1,5,3,6]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,7,1,6,3,5]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[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)=>3
[4,2,7,3,1,5,6]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,3,1,6,5]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,3,5,1,6]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,3,6,1,5]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,5,1,3,6]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,5,1,6,3]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,5,3,1,6]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,5,6,1,3]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,6,1,3,5]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,6,1,5,3]=>[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,6,3,1,5]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,2,7,6,5,1,3]=>[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,3,1,2,5,6,7]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,2,5,7,6]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,2,6,5,7]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,2,6,7,5]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,2,7,5,6]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,2,7,6,5]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,5,2,6,7]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,5,2,7,6]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,5,6,2,7]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,5,6,7,2]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,5,7,2,6]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,5,7,6,2]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,6,2,5,7]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,6,2,7,5]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,6,5,2,7]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,6,5,7,2]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,6,7,2,5]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,6,7,5,2]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,7,2,5,6]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,7,2,6,5]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,7,5,2,6]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,7,5,6,2]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,7,6,2,5]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,7,6,5,2]=>[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,2,6,7]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,2,7,6]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,6,2,7]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,6,7,2]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,7,2,6]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,7,6,2]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,2,1,6,7]=>[4,3,7,2,1,6,5]=>[4,2,1,7,6,3,5]=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>4
[4,3,5,2,1,7,6]=>[4,3,7,2,1,6,5]=>[4,2,1,7,6,3,5]=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>4
[4,3,5,2,6,1,7]=>[4,3,7,2,6,1,5]=>[4,2,1,7,5,3,6]=>([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,3,5,2,7,1,6]=>[4,3,7,2,6,1,5]=>[4,2,1,7,5,3,6]=>([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,3,5,6,1,2,7]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,6,1,7,2]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,6,2,1,7]=>[4,3,7,6,2,1,5]=>[5,2,1,7,4,3,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[4,3,5,6,7,1,2]=>[4,3,7,6,5,1,2]=>[7,2,1,5,4,3,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,7,1,2,6]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,7,1,6,2]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,7,2,1,6]=>[4,3,7,6,2,1,5]=>[5,2,1,7,4,3,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[4,3,5,7,6,1,2]=>[4,3,7,6,5,1,2]=>[7,2,1,5,4,3,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,1,2,5,7]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,1,2,7,5]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,1,5,2,7]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,1,5,7,2]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,1,7,2,5]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,1,7,5,2]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,2,1,5,7]=>[4,3,7,2,1,6,5]=>[4,2,1,7,6,3,5]=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>4
[4,3,6,2,1,7,5]=>[4,3,7,2,1,6,5]=>[4,2,1,7,6,3,5]=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>4
[4,3,6,2,5,1,7]=>[4,3,7,2,6,1,5]=>[4,2,1,7,5,3,6]=>([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,3,6,2,7,1,5]=>[4,3,7,2,6,1,5]=>[4,2,1,7,5,3,6]=>([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,3,6,5,1,2,7]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,5,1,7,2]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,5,2,1,7]=>[4,3,7,6,2,1,5]=>[5,2,1,7,4,3,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[4,3,6,5,7,1,2]=>[4,3,7,6,5,1,2]=>[7,2,1,5,4,3,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,7,1,2,5]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,7,1,5,2]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,7,2,1,5]=>[4,3,7,6,2,1,5]=>[5,2,1,7,4,3,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[4,3,6,7,5,1,2]=>[4,3,7,6,5,1,2]=>[7,2,1,5,4,3,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,1,2,5,6]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,1,2,6,5]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,1,5,2,6]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,1,5,6,2]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,1,6,2,5]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,2,1,5,6]=>[4,3,7,2,1,6,5]=>[4,2,1,7,6,3,5]=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>4
[4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[4,2,1,7,6,3,5]=>([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>4
[4,3,7,2,5,1,6]=>[4,3,7,2,6,1,5]=>[4,2,1,7,5,3,6]=>([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[4,2,1,7,5,3,6]=>([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,3,7,5,1,2,6]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,5,1,6,2]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,5,2,1,6]=>[4,3,7,6,2,1,5]=>[5,2,1,7,4,3,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[4,3,7,5,6,1,2]=>[4,3,7,6,5,1,2]=>[7,2,1,5,4,3,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,6,1,2,5]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,6,1,5,2]=>[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[5,2,1,7,4,3,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[4,3,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[7,2,1,5,4,3,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,2,3,6,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,2,3,7,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,2,6,3,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,2,6,7,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,2,7,3,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,2,7,6,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,3,2,6,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,3,2,7,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,3,6,2,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,3,6,7,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,3,7,2,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,3,7,6,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,6,2,3,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,6,2,7,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,6,3,2,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,6,3,7,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,6,7,2,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,6,7,3,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,7,2,3,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,7,2,6,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,7,3,2,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,7,3,6,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,7,6,2,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,1,7,6,3,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,2,1,3,6,7]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,1,3,7,6]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,1,6,3,7]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,1,6,7,3]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,1,7,3,6]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,1,7,6,3]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,3,1,6,7]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,3,1,7,6]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,3,6,1,7]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,3,7,1,6]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,6,1,3,7]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,6,1,7,3]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,6,3,1,7]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,6,7,1,3]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,7,1,3,6]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,7,1,6,3]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,7,3,1,6]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,2,7,6,1,3]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,5,3,1,2,7,6]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,5,3,1,6,2,7]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,5,3,1,6,7,2]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,5,3,1,7,2,6]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,5,3,1,7,6,2]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,5,3,2,1,6,7]=>[4,7,3,2,1,6,5]=>[4,3,1,7,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,5,3,2,1,7,6]=>[4,7,3,2,1,6,5]=>[4,3,1,7,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,5,3,2,6,1,7]=>[4,7,3,2,6,1,5]=>[4,3,1,7,5,2,6]=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>4
[4,5,3,2,7,1,6]=>[4,7,3,2,6,1,5]=>[4,3,1,7,5,2,6]=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>4
[4,5,3,6,1,2,7]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,3,6,1,7,2]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,3,6,2,1,7]=>[4,7,3,6,2,1,5]=>[5,3,1,7,4,2,6]=>([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,5,3,6,7,1,2]=>[4,7,3,6,5,1,2]=>[7,3,1,5,4,2,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,3,7,1,2,6]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,3,7,1,6,2]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,3,7,2,1,6]=>[4,7,3,6,2,1,5]=>[5,3,1,7,4,2,6]=>([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,5,3,7,6,1,2]=>[4,7,3,6,5,1,2]=>[7,3,1,5,4,2,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,6,1,2,3,7]=>[4,7,6,1,5,3,2]=>[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
[4,5,6,1,2,7,3]=>[4,7,6,1,5,3,2]=>[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
[4,5,6,1,3,2,7]=>[4,7,6,1,5,3,2]=>[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
[4,5,6,1,3,7,2]=>[4,7,6,1,5,3,2]=>[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
[4,5,6,1,7,2,3]=>[4,7,6,1,5,3,2]=>[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
[4,5,6,1,7,3,2]=>[4,7,6,1,5,3,2]=>[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
[4,5,6,2,1,3,7]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,6,2,1,7,3]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,6,2,3,1,7]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,5,6,2,7,1,3]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,5,6,3,1,2,7]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,5,6,3,1,7,2]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,5,6,3,2,1,7]=>[4,7,6,3,2,1,5]=>[5,4,1,7,3,2,6]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,5,6,3,7,1,2]=>[4,7,6,3,5,1,2]=>[7,4,1,5,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,6,7,1,2,3]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,6,7,1,3,2]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,6,7,2,1,3]=>[4,7,6,5,2,1,3]=>[5,7,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[4,5,6,7,3,1,2]=>[4,7,6,5,3,1,2]=>[7,5,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,7,1,2,3,6]=>[4,7,6,1,5,3,2]=>[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
[4,5,7,1,2,6,3]=>[4,7,6,1,5,3,2]=>[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]=>[4,7,6,1,5,3,2]=>[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
[4,5,7,1,3,6,2]=>[4,7,6,1,5,3,2]=>[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
[4,5,7,1,6,2,3]=>[4,7,6,1,5,3,2]=>[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
[4,5,7,1,6,3,2]=>[4,7,6,1,5,3,2]=>[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]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,7,2,1,6,3]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,5,7,2,3,1,6]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,5,7,2,6,1,3]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,5,7,3,1,2,6]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,5,7,3,1,6,2]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,5,7,3,2,1,6]=>[4,7,6,3,2,1,5]=>[5,4,1,7,3,2,6]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,5,7,3,6,1,2]=>[4,7,6,3,5,1,2]=>[7,4,1,5,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,7,6,1,2,3]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,7,6,1,3,2]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,5,7,6,2,1,3]=>[4,7,6,5,2,1,3]=>[5,7,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[4,5,7,6,3,1,2]=>[4,7,6,5,3,1,2]=>[7,5,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,2,3,5,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,2,3,7,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,2,5,3,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,2,5,7,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,2,7,3,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,2,7,5,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,3,2,5,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,3,2,7,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,3,5,2,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,3,5,7,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,3,7,2,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,3,7,5,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,5,2,3,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,5,2,7,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,5,3,2,7]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,5,3,7,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,5,7,2,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,5,7,3,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,7,2,3,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,7,2,5,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,7,3,2,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,7,3,5,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,7,5,2,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,1,7,5,3,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,2,1,3,5,7]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,1,3,7,5]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,1,5,3,7]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,1,5,7,3]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,1,7,3,5]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,1,7,5,3]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,3,1,5,7]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,3,1,7,5]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,3,5,1,7]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,3,7,1,5]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,5,1,3,7]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,5,1,7,3]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,5,3,1,7]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,5,7,1,3]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,7,1,3,5]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,7,1,5,3]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,7,3,1,5]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,2,7,5,1,3]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,3,1,2,5,7]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,6,3,1,2,7,5]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,6,3,1,5,7,2]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,6,3,1,7,2,5]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,6,3,1,7,5,2]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,6,3,2,1,5,7]=>[4,7,3,2,1,6,5]=>[4,3,1,7,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,6,3,2,1,7,5]=>[4,7,3,2,1,6,5]=>[4,3,1,7,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,6,3,2,5,1,7]=>[4,7,3,2,6,1,5]=>[4,3,1,7,5,2,6]=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>4
[4,6,3,2,7,1,5]=>[4,7,3,2,6,1,5]=>[4,3,1,7,5,2,6]=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>4
[4,6,3,5,1,2,7]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,3,5,1,7,2]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,3,5,2,1,7]=>[4,7,3,6,2,1,5]=>[5,3,1,7,4,2,6]=>([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,6,3,5,7,1,2]=>[4,7,3,6,5,1,2]=>[7,3,1,5,4,2,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,3,7,1,2,5]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,3,7,1,5,2]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,3,7,2,1,5]=>[4,7,3,6,2,1,5]=>[5,3,1,7,4,2,6]=>([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,6,3,7,5,1,2]=>[4,7,3,6,5,1,2]=>[7,3,1,5,4,2,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,5,1,2,3,7]=>[4,7,6,1,5,3,2]=>[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
[4,6,5,1,2,7,3]=>[4,7,6,1,5,3,2]=>[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
[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[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
[4,6,5,1,3,7,2]=>[4,7,6,1,5,3,2]=>[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
[4,6,5,1,7,2,3]=>[4,7,6,1,5,3,2]=>[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
[4,6,5,1,7,3,2]=>[4,7,6,1,5,3,2]=>[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
[4,6,5,2,1,3,7]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,5,2,1,7,3]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,5,2,3,1,7]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,6,5,2,7,1,3]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,6,5,3,1,2,7]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,6,5,3,1,7,2]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,6,5,3,2,1,7]=>[4,7,6,3,2,1,5]=>[5,4,1,7,3,2,6]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,6,5,3,7,1,2]=>[4,7,6,3,5,1,2]=>[7,4,1,5,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,5,7,1,2,3]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,5,7,1,3,2]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,5,7,2,1,3]=>[4,7,6,5,2,1,3]=>[5,7,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[4,6,5,7,3,1,2]=>[4,7,6,5,3,1,2]=>[7,5,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,7,1,2,3,5]=>[4,7,6,1,5,3,2]=>[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
[4,6,7,1,2,5,3]=>[4,7,6,1,5,3,2]=>[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
[4,6,7,1,3,2,5]=>[4,7,6,1,5,3,2]=>[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
[4,6,7,1,3,5,2]=>[4,7,6,1,5,3,2]=>[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
[4,6,7,1,5,2,3]=>[4,7,6,1,5,3,2]=>[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
[4,6,7,1,5,3,2]=>[4,7,6,1,5,3,2]=>[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
[4,6,7,2,1,3,5]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,7,2,1,5,3]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,6,7,2,3,1,5]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,6,7,2,5,1,3]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,6,7,3,1,2,5]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,6,7,3,1,5,2]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,6,7,3,2,1,5]=>[4,7,6,3,2,1,5]=>[5,4,1,7,3,2,6]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,6,7,3,5,1,2]=>[4,7,6,3,5,1,2]=>[7,4,1,5,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,7,5,1,2,3]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,7,5,1,3,2]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,6,7,5,2,1,3]=>[4,7,6,5,2,1,3]=>[5,7,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[4,6,7,5,3,1,2]=>[4,7,6,5,3,1,2]=>[7,5,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,2,3,5,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,2,3,6,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,2,5,3,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,2,5,6,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,2,6,3,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,2,6,5,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,3,2,5,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,3,2,6,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,3,5,2,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,3,5,6,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,3,6,2,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,3,6,5,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,5,2,3,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,5,2,6,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,5,3,2,6]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,5,3,6,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,5,6,2,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,5,6,3,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,6,2,3,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,6,2,5,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,6,3,2,5]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,6,3,5,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,6,5,2,3]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,2,1,3,5,6]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,1,3,6,5]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,1,5,3,6]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,1,5,6,3]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,1,6,3,5]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,3,1,5,6]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,3,1,6,5]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,3,5,1,6]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,3,6,1,5]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,5,1,3,6]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,5,1,6,3]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,5,3,1,6]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,5,6,1,3]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,6,1,3,5]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,6,3,1,5]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,3,1,2,5,6]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,7,3,1,2,6,5]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,7,3,1,5,2,6]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,7,3,1,6,2,5]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[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)=>2
[4,7,3,2,1,5,6]=>[4,7,3,2,1,6,5]=>[4,3,1,7,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[4,3,1,7,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,7,3,2,5,1,6]=>[4,7,3,2,6,1,5]=>[4,3,1,7,5,2,6]=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>4
[4,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[4,3,1,7,5,2,6]=>([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>4
[4,7,3,5,1,2,6]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,3,5,1,6,2]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,3,5,2,1,6]=>[4,7,3,6,2,1,5]=>[5,3,1,7,4,2,6]=>([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,7,3,5,6,1,2]=>[4,7,3,6,5,1,2]=>[7,3,1,5,4,2,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,3,6,1,2,5]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[5,3,1,7,4,2,6]=>([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>4
[4,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[7,3,1,5,4,2,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,5,1,2,3,6]=>[4,7,6,1,5,3,2]=>[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
[4,7,5,1,2,6,3]=>[4,7,6,1,5,3,2]=>[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
[4,7,5,1,3,2,6]=>[4,7,6,1,5,3,2]=>[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
[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[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
[4,7,5,1,6,2,3]=>[4,7,6,1,5,3,2]=>[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
[4,7,5,1,6,3,2]=>[4,7,6,1,5,3,2]=>[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
[4,7,5,2,1,3,6]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,5,2,1,6,3]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,5,2,3,1,6]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,7,5,2,6,1,3]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,7,5,3,1,2,6]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,7,5,3,1,6,2]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,7,5,3,2,1,6]=>[4,7,6,3,2,1,5]=>[5,4,1,7,3,2,6]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,7,5,3,6,1,2]=>[4,7,6,3,5,1,2]=>[7,4,1,5,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,5,6,1,2,3]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,5,6,1,3,2]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,5,6,2,1,3]=>[4,7,6,5,2,1,3]=>[5,7,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[4,7,5,6,3,1,2]=>[4,7,6,5,3,1,2]=>[7,5,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,6,1,2,3,5]=>[4,7,6,1,5,3,2]=>[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
[4,7,6,1,2,5,3]=>[4,7,6,1,5,3,2]=>[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
[4,7,6,1,3,2,5]=>[4,7,6,1,5,3,2]=>[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
[4,7,6,1,3,5,2]=>[4,7,6,1,5,3,2]=>[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
[4,7,6,1,5,2,3]=>[4,7,6,1,5,3,2]=>[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
[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[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
[4,7,6,2,1,3,5]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,6,2,1,5,3]=>[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[4,7,6,2,3,1,5]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,7,6,2,5,1,3]=>[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[4,7,6,3,1,2,5]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,7,6,3,1,5,2]=>[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[4,7,6,3,2,1,5]=>[4,7,6,3,2,1,5]=>[5,4,1,7,3,2,6]=>([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[4,7,6,3,5,1,2]=>[4,7,6,3,5,1,2]=>[7,4,1,5,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,6,5,1,2,3]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[4,7,6,5,2,1,3]=>[4,7,6,5,2,1,3]=>[5,7,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[4,7,6,5,3,1,2]=>[4,7,6,5,3,1,2]=>[7,5,1,4,3,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,3,4,6,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,3,4,7,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,3,6,4,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,3,6,7,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,3,7,4,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,3,7,6,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,4,3,6,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,4,3,7,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,4,6,3,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,4,6,7,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,4,7,3,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,4,7,6,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,6,3,4,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,6,3,7,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,6,4,3,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,6,4,7,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,6,7,3,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,6,7,4,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,7,3,4,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,7,3,6,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,7,4,3,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,7,4,6,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,7,6,3,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,2,7,6,4,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,2,4,6,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,2,4,7,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,2,6,4,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,2,6,7,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,2,7,4,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,2,7,6,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,4,2,6,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,4,2,7,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,4,6,2,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,4,6,7,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,4,7,2,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,4,7,6,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,6,2,4,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,6,2,7,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,6,4,2,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,6,4,7,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,6,7,2,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,6,7,4,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,7,2,4,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,7,2,6,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,7,4,2,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,7,4,6,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,7,6,2,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,3,7,6,4,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,2,3,6,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,2,3,7,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,2,6,3,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,2,6,7,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,2,7,3,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,2,7,6,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,3,2,6,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,3,2,7,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,3,6,2,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,3,6,7,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,3,7,2,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,3,7,6,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,6,2,3,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,6,2,7,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,6,3,2,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,6,3,7,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,6,7,2,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,6,7,3,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,7,2,3,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,7,2,6,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,7,3,2,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,7,3,6,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,7,6,2,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,4,7,6,3,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,2,3,4,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,2,3,7,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,2,4,3,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,2,4,7,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,2,7,3,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,2,7,4,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,3,2,4,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,3,2,7,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,3,4,2,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,3,4,7,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,3,7,2,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,3,7,4,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,4,2,3,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,4,2,7,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,4,3,2,7]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,4,3,7,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,4,7,2,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,4,7,3,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,7,2,3,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,7,2,4,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,7,3,2,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,7,3,4,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,7,4,2,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,6,7,4,3,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,2,3,4,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,2,3,6,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,2,4,3,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,2,4,6,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,2,6,3,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,2,6,4,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,3,2,4,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,3,2,6,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,3,4,2,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,3,4,6,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,3,6,2,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,3,6,4,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,4,2,3,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,4,2,6,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,4,3,2,6]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,4,3,6,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,4,6,2,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,4,6,3,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,6,2,3,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,6,2,4,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,6,3,2,4]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,6,3,4,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,6,4,2,3]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,1,7,6,4,3,2]=>[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,2,1,3,4,6,7]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,3,4,7,6]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,3,6,4,7]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,3,6,7,4]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,3,7,4,6]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,3,7,6,4]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,4,3,6,7]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,4,3,7,6]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,4,6,3,7]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,4,6,7,3]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,4,7,3,6]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,4,7,6,3]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,6,3,4,7]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,6,3,7,4]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,6,4,3,7]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,6,4,7,3]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,6,7,3,4]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,6,7,4,3]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,7,3,4,6]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,7,3,6,4]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,7,4,3,6]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,7,4,6,3]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,7,6,3,4]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,1,4,6,7]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,1,4,7,6]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,1,6,4,7]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,1,6,7,4]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,1,7,4,6]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,1,7,6,4]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,3,4,6,1,7]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,4,7,1,6]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,6,1,4,7]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,3,6,1,7,4]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,3,6,4,1,7]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,6,7,1,4]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,7,1,4,6]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,3,7,4,1,6]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,7,6,1,4]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,1,3,6,7]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,1,3,7,6]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,1,6,3,7]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,1,6,7,3]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,1,7,3,6]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,1,7,6,3]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,4,3,6,1,7]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,3,7,1,6]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,6,1,3,7]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,4,6,1,7,3]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,4,6,3,1,7]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,6,7,1,3]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,7,1,3,6]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,4,7,1,6,3]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,4,7,3,1,6]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,7,6,1,3]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,1,3,4,7]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,1,3,7,4]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,1,4,3,7]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,1,4,7,3]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,1,7,3,4]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,1,7,4,3]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,3,1,4,7]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,6,3,1,7,4]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,6,3,4,1,7]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,3,7,1,4]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,6,4,1,7,3]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,6,4,3,1,7]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,4,7,1,3]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,7,1,3,4]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,6,7,1,4,3]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,6,7,3,1,4]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,6,7,4,1,3]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,1,3,4,6]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,1,3,6,4]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,1,4,3,6]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,1,4,6,3]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,1,6,3,4]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,3,1,4,6]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,7,3,1,6,4]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,7,3,4,1,6]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,3,6,1,4]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,4,1,3,6]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,7,4,3,1,6]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,4,6,1,3]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,6,1,3,4]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[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)=>3
[5,2,7,6,3,1,4]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,7,6,4,1,3]=>[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,1,2,4,6,7]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,2,4,7,6]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,2,6,4,7]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,2,6,7,4]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,2,7,4,6]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,2,7,6,4]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,4,2,6,7]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,4,2,7,6]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,4,6,2,7]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,4,6,7,2]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,4,7,2,6]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,4,7,6,2]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,6,2,4,7]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,6,2,7,4]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,6,4,2,7]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,6,4,7,2]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,6,7,2,4]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,6,7,4,2]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,7,2,4,6]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,7,2,6,4]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,7,4,2,6]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,7,4,6,2]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,7,6,2,4]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,2,1,4,6,7]=>[5,3,2,1,7,6,4]=>[3,2,7,1,6,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[5,3,2,1,4,7,6]=>[5,3,2,1,7,6,4]=>[3,2,7,1,6,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[5,3,2,1,6,4,7]=>[5,3,2,1,7,6,4]=>[3,2,7,1,6,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[5,3,2,1,6,7,4]=>[5,3,2,1,7,6,4]=>[3,2,7,1,6,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[5,3,2,1,7,4,6]=>[5,3,2,1,7,6,4]=>[3,2,7,1,6,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[5,3,2,1,7,6,4]=>[5,3,2,1,7,6,4]=>[3,2,7,1,6,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[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)=>3
[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[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)=>3
[5,3,2,4,6,1,7]=>[5,3,2,7,6,1,4]=>[3,2,7,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>3
[5,3,2,4,7,1,6]=>[5,3,2,7,6,1,4]=>[3,2,7,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>3
[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[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)=>3
[5,3,2,6,1,7,4]=>[5,3,2,7,1,6,4]=>[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)=>3
[5,3,2,6,4,1,7]=>[5,3,2,7,6,1,4]=>[3,2,7,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>3
[5,3,2,6,7,1,4]=>[5,3,2,7,6,1,4]=>[3,2,7,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>3
[5,3,2,7,1,4,6]=>[5,3,2,7,1,6,4]=>[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)=>3
[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[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)=>3
[5,3,2,7,4,1,6]=>[5,3,2,7,6,1,4]=>[3,2,7,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>3
[5,3,2,7,6,1,4]=>[5,3,2,7,6,1,4]=>[3,2,7,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>3
[5,3,4,1,2,6,7]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,1,2,7,6]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,1,6,2,7]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,1,6,7,2]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,1,7,2,6]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,1,7,6,2]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,2,1,6,7]=>[5,3,7,2,1,6,4]=>[4,2,7,1,6,3,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>3
[5,3,4,2,1,7,6]=>[5,3,7,2,1,6,4]=>[4,2,7,1,6,3,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>3
[5,3,4,2,6,1,7]=>[5,3,7,2,6,1,4]=>[4,2,7,1,5,3,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>3
[5,3,4,2,7,1,6]=>[5,3,7,2,6,1,4]=>[4,2,7,1,5,3,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>3
[5,3,4,6,1,2,7]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,6,1,7,2]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,6,2,1,7]=>[5,3,7,6,2,1,4]=>[5,2,7,1,4,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3
[5,3,4,6,7,1,2]=>[5,3,7,6,4,1,2]=>[7,2,5,1,4,3,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,7,1,2,6]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,7,1,6,2]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,4,7,2,1,6]=>[5,3,7,6,2,1,4]=>[5,2,7,1,4,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3
[5,3,4,7,6,1,2]=>[5,3,7,6,4,1,2]=>[7,2,5,1,4,3,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,1,2,4,7]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,1,2,7,4]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,1,4,2,7]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,1,4,7,2]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,1,7,2,4]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,1,7,4,2]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,2,1,4,7]=>[5,3,7,2,1,6,4]=>[4,2,7,1,6,3,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>3
[5,3,6,2,1,7,4]=>[5,3,7,2,1,6,4]=>[4,2,7,1,6,3,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>3
[5,3,6,2,4,1,7]=>[5,3,7,2,6,1,4]=>[4,2,7,1,5,3,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>3
[5,3,6,2,7,1,4]=>[5,3,7,2,6,1,4]=>[4,2,7,1,5,3,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>3
[5,3,6,4,1,2,7]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,4,1,7,2]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,4,2,1,7]=>[5,3,7,6,2,1,4]=>[5,2,7,1,4,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3
[5,3,6,4,7,1,2]=>[5,3,7,6,4,1,2]=>[7,2,5,1,4,3,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,7,1,2,4]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,7,1,4,2]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,6,7,2,1,4]=>[5,3,7,6,2,1,4]=>[5,2,7,1,4,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3
[5,3,6,7,4,1,2]=>[5,3,7,6,4,1,2]=>[7,2,5,1,4,3,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,1,2,4,6]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,1,2,6,4]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,1,4,2,6]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,1,4,6,2]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,1,6,2,4]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,2,1,4,6]=>[5,3,7,2,1,6,4]=>[4,2,7,1,6,3,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>3
[5,3,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[4,2,7,1,6,3,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)=>3
[5,3,7,2,4,1,6]=>[5,3,7,2,6,1,4]=>[4,2,7,1,5,3,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>3
[5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[4,2,7,1,5,3,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>3
[5,3,7,4,1,2,6]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,4,1,6,2]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,4,2,1,6]=>[5,3,7,6,2,1,4]=>[5,2,7,1,4,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3
[5,3,7,4,6,1,2]=>[5,3,7,6,4,1,2]=>[7,2,5,1,4,3,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,6,1,2,4]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,3,7,6,2,1,4]=>[5,3,7,6,2,1,4]=>[5,2,7,1,4,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3
[5,3,7,6,4,1,2]=>[5,3,7,6,4,1,2]=>[7,2,5,1,4,3,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,2,3,6,7]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,2,3,7,6]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,2,6,3,7]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,2,6,7,3]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,2,7,3,6]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,2,7,6,3]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,3,2,6,7]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,3,2,7,6]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,3,6,2,7]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,3,6,7,2]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,3,7,2,6]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,3,7,6,2]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,6,2,3,7]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,6,2,7,3]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,6,3,2,7]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,6,3,7,2]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,6,7,2,3]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,6,7,3,2]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,7,2,3,6]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,7,2,6,3]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,7,3,2,6]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,7,3,6,2]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,7,6,2,3]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,1,7,6,3,2]=>[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,2,1,3,6,7]=>[5,4,2,1,7,6,3]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,1,3,7,6]=>[5,4,2,1,7,6,3]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,1,6,3,7]=>[5,4,2,1,7,6,3]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,1,6,7,3]=>[5,4,2,1,7,6,3]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,1,7,3,6]=>[5,4,2,1,7,6,3]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[3,7,2,1,6,5,4]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,3,1,6,7]=>[5,4,2,7,1,6,3]=>[3,7,2,1,6,4,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,3,1,7,6]=>[5,4,2,7,1,6,3]=>[3,7,2,1,6,4,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,3,6,1,7]=>[5,4,2,7,6,1,3]=>[3,7,2,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,3,7,1,6]=>[5,4,2,7,6,1,3]=>[3,7,2,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,6,1,3,7]=>[5,4,2,7,1,6,3]=>[3,7,2,1,6,4,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,6,1,7,3]=>[5,4,2,7,1,6,3]=>[3,7,2,1,6,4,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,6,3,1,7]=>[5,4,2,7,6,1,3]=>[3,7,2,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,6,7,1,3]=>[5,4,2,7,6,1,3]=>[3,7,2,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,7,1,3,6]=>[5,4,2,7,1,6,3]=>[3,7,2,1,6,4,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[3,7,2,1,6,4,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,7,3,1,6]=>[5,4,2,7,6,1,3]=>[3,7,2,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>[3,7,2,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[5,4,3,1,2,6,7]=>[5,4,3,1,7,6,2]=>[7,3,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,3,1,2,7,6]=>[5,4,3,1,7,6,2]=>[7,3,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,3,1,6,2,7]=>[5,4,3,1,7,6,2]=>[7,3,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,3,1,6,7,2]=>[5,4,3,1,7,6,2]=>[7,3,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,3,1,7,2,6]=>[5,4,3,1,7,6,2]=>[7,3,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[7,3,2,1,6,5,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,3,6,1,2,7]=>[5,4,3,7,1,6,2]=>[7,3,2,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>2
[5,4,3,6,1,7,2]=>[5,4,3,7,1,6,2]=>[7,3,2,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>2
[5,4,3,6,2,1,7]=>[5,4,3,7,2,1,6]=>[5,3,2,1,7,4,6]=>([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[5,4,3,6,7,1,2]=>[5,4,3,7,6,1,2]=>[7,3,2,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,3,7,1,2,6]=>[5,4,3,7,1,6,2]=>[7,3,2,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>2
[5,4,3,7,1,6,2]=>[5,4,3,7,1,6,2]=>[7,3,2,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>2
[5,4,3,7,2,1,6]=>[5,4,3,7,2,1,6]=>[5,3,2,1,7,4,6]=>([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[5,4,3,7,6,1,2]=>[5,4,3,7,6,1,2]=>[7,3,2,1,5,4,6]=>([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,6,1,2,3,7]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,6,1,2,7,3]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,6,1,3,2,7]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,6,1,3,7,2]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,6,1,7,2,3]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,6,1,7,3,2]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[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)=>3
[5,4,6,2,1,7,3]=>[5,4,7,2,1,6,3]=>[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)=>3
[5,4,6,2,3,1,7]=>[5,4,7,2,6,1,3]=>[4,7,2,1,5,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>3
[5,4,6,2,7,1,3]=>[5,4,7,2,6,1,3]=>[4,7,2,1,5,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>3
[5,4,6,3,1,2,7]=>[5,4,7,3,1,6,2]=>[7,4,2,1,6,3,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[5,4,6,3,1,7,2]=>[5,4,7,3,1,6,2]=>[7,4,2,1,6,3,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[5,4,6,3,2,1,7]=>[5,4,7,3,2,1,6]=>[5,4,2,1,7,3,6]=>([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[5,4,6,3,7,1,2]=>[5,4,7,3,6,1,2]=>[7,4,2,1,5,3,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,6,7,1,2,3]=>[5,4,7,6,1,3,2]=>[7,6,2,1,4,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,6,7,1,3,2]=>[5,4,7,6,1,3,2]=>[7,6,2,1,4,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,6,7,2,1,3]=>[5,4,7,6,2,1,3]=>[5,7,2,1,4,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3
[5,4,6,7,3,1,2]=>[5,4,7,6,3,1,2]=>[7,5,2,1,4,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,7,1,2,3,6]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,7,1,2,6,3]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,7,1,3,2,6]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,7,1,3,6,2]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,7,1,6,2,3]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,7,2,1,3,6]=>[5,4,7,2,1,6,3]=>[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)=>3
[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[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)=>3
[5,4,7,2,3,1,6]=>[5,4,7,2,6,1,3]=>[4,7,2,1,5,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>3
[5,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[4,7,2,1,5,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)=>3
[5,4,7,3,1,2,6]=>[5,4,7,3,1,6,2]=>[7,4,2,1,6,3,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[5,4,7,3,1,6,2]=>[5,4,7,3,1,6,2]=>[7,4,2,1,6,3,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[5,4,7,3,2,1,6]=>[5,4,7,3,2,1,6]=>[5,4,2,1,7,3,6]=>([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[5,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[7,4,2,1,5,3,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,7,6,1,2,3]=>[5,4,7,6,1,3,2]=>[7,6,2,1,4,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,7,6,1,3,2]=>[5,4,7,6,1,3,2]=>[7,6,2,1,4,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,4,7,6,2,1,3]=>[5,4,7,6,2,1,3]=>[5,7,2,1,4,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3
[5,4,7,6,3,1,2]=>[5,4,7,6,3,1,2]=>[7,5,2,1,4,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,2,3,4,7]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,2,3,7,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,2,4,3,7]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,2,4,7,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,2,7,3,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,2,7,4,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,3,2,4,7]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,3,2,7,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,3,4,2,7]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,3,4,7,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,3,7,2,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,3,7,4,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,4,2,3,7]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,4,2,7,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,4,3,2,7]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,4,3,7,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,4,7,2,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,4,7,3,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,7,2,3,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,7,2,4,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,7,3,2,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,7,3,4,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,7,4,2,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,1,7,4,3,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,2,1,3,4,7]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,1,3,7,4]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,1,4,3,7]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,1,4,7,3]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,1,7,3,4]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,1,7,4,3]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,3,1,4,7]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,3,1,7,4]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,3,4,1,7]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,3,7,1,4]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,4,1,3,7]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,4,1,7,3]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,4,3,1,7]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,4,7,1,3]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,7,1,3,4]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,7,1,4,3]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,7,3,1,4]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,2,7,4,1,3]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,3,1,2,4,7]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,3,1,2,7,4]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,3,1,4,2,7]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,3,1,4,7,2]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,3,1,7,2,4]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,3,1,7,4,2]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,3,2,1,4,7]=>[5,7,3,2,1,6,4]=>[4,3,7,1,6,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>3
[5,6,3,2,1,7,4]=>[5,7,3,2,1,6,4]=>[4,3,7,1,6,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>3
[5,6,3,2,4,1,7]=>[5,7,3,2,6,1,4]=>[4,3,7,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>3
[5,6,3,2,7,1,4]=>[5,7,3,2,6,1,4]=>[4,3,7,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>3
[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[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)=>2
[5,6,3,4,1,7,2]=>[5,7,3,6,1,4,2]=>[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)=>2
[5,6,3,4,2,1,7]=>[5,7,3,6,2,1,4]=>[5,3,7,1,4,2,6]=>([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>3
[5,6,3,4,7,1,2]=>[5,7,3,6,4,1,2]=>[7,3,5,1,4,2,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,3,7,1,2,4]=>[5,7,3,6,1,4,2]=>[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)=>2
[5,6,3,7,1,4,2]=>[5,7,3,6,1,4,2]=>[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)=>2
[5,6,3,7,2,1,4]=>[5,7,3,6,2,1,4]=>[5,3,7,1,4,2,6]=>([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>3
[5,6,3,7,4,1,2]=>[5,7,3,6,4,1,2]=>[7,3,5,1,4,2,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,4,1,2,3,7]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,4,1,2,7,3]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,4,1,3,2,7]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,4,1,3,7,2]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,4,1,7,2,3]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,4,1,7,3,2]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,4,2,1,3,7]=>[5,7,4,2,1,6,3]=>[4,7,3,1,6,2,5]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,4,2,1,7,3]=>[5,7,4,2,1,6,3]=>[4,7,3,1,6,2,5]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,4,2,3,1,7]=>[5,7,4,2,6,1,3]=>[4,7,3,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,4,2,7,1,3]=>[5,7,4,2,6,1,3]=>[4,7,3,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[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)=>2
[5,6,4,3,1,7,2]=>[5,7,4,3,1,6,2]=>[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)=>2
[5,6,4,3,2,1,7]=>[5,7,4,3,2,1,6]=>[5,4,3,1,7,2,6]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[5,6,4,3,7,1,2]=>[5,7,4,3,6,1,2]=>[7,4,3,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,4,7,1,2,3]=>[5,7,4,6,1,3,2]=>[7,6,3,1,4,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,4,7,1,3,2]=>[5,7,4,6,1,3,2]=>[7,6,3,1,4,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,4,7,2,1,3]=>[5,7,4,6,2,1,3]=>[5,7,3,1,4,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[5,6,4,7,3,1,2]=>[5,7,4,6,3,1,2]=>[7,5,3,1,4,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,7,1,2,3,4]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,7,1,2,4,3]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,7,1,3,2,4]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,7,1,3,4,2]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,7,1,4,2,3]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,7,1,4,3,2]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,6,7,2,1,3,4]=>[5,7,6,2,1,4,3]=>[4,7,6,1,3,2,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,7,2,1,4,3]=>[5,7,6,2,1,4,3]=>[4,7,6,1,3,2,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,7,2,3,1,4]=>[5,7,6,2,4,1,3]=>[4,7,5,1,3,2,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,7,2,4,1,3]=>[5,7,6,2,4,1,3]=>[4,7,5,1,3,2,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,6,7,3,1,2,4]=>[5,7,6,3,1,4,2]=>[7,4,6,1,3,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[5,6,7,3,1,4,2]=>[5,7,6,3,1,4,2]=>[7,4,6,1,3,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[5,6,7,3,2,1,4]=>[5,7,6,3,2,1,4]=>[5,4,7,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>3
[5,6,7,3,4,1,2]=>[5,7,6,3,4,1,2]=>[7,4,5,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[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
[5,6,7,4,1,3,2]=>[5,7,6,4,1,3,2]=>[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
[5,6,7,4,2,1,3]=>[5,7,6,4,2,1,3]=>[5,7,4,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>3
[5,6,7,4,3,1,2]=>[5,7,6,4,3,1,2]=>[7,5,4,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,2,3,4,6]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,2,3,6,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,2,4,3,6]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,2,4,6,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,2,6,3,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,2,6,4,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,3,2,4,6]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,3,2,6,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,3,4,2,6]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,3,4,6,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,3,6,2,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,3,6,4,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,4,2,3,6]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,4,2,6,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,4,3,2,6]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,4,3,6,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,4,6,2,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,4,6,3,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,6,2,3,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,6,2,4,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,6,3,2,4]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,6,3,4,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,6,4,2,3]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,2,1,3,4,6]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,1,3,6,4]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,1,4,3,6]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,1,4,6,3]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,1,6,3,4]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,3,1,4,6]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,3,1,6,4]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,3,4,1,6]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,3,6,1,4]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,4,1,3,6]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,4,1,6,3]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,4,3,1,6]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,4,6,1,3]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,6,1,3,4]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,6,3,1,4]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,2,6,4,1,3]=>[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,3,1,2,4,6]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,3,1,2,6,4]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,3,1,4,2,6]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,3,1,4,6,2]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,3,1,6,2,4]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,3,2,1,4,6]=>[5,7,3,2,1,6,4]=>[4,3,7,1,6,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>3
[5,7,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>[4,3,7,1,6,2,5]=>([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)=>3
[5,7,3,2,4,1,6]=>[5,7,3,2,6,1,4]=>[4,3,7,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>3
[5,7,3,2,6,1,4]=>[5,7,3,2,6,1,4]=>[4,3,7,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)=>3
[5,7,3,4,1,2,6]=>[5,7,3,6,1,4,2]=>[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)=>2
[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[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)=>2
[5,7,3,4,2,1,6]=>[5,7,3,6,2,1,4]=>[5,3,7,1,4,2,6]=>([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>3
[5,7,3,4,6,1,2]=>[5,7,3,6,4,1,2]=>[7,3,5,1,4,2,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,3,6,1,2,4]=>[5,7,3,6,1,4,2]=>[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)=>2
[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[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)=>2
[5,7,3,6,2,1,4]=>[5,7,3,6,2,1,4]=>[5,3,7,1,4,2,6]=>([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>3
[5,7,3,6,4,1,2]=>[5,7,3,6,4,1,2]=>[7,3,5,1,4,2,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,4,1,2,3,6]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,4,1,2,6,3]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,4,1,3,2,6]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,4,1,3,6,2]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,4,1,6,2,3]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,4,2,1,3,6]=>[5,7,4,2,1,6,3]=>[4,7,3,1,6,2,5]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[4,7,3,1,6,2,5]=>([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,4,2,3,1,6]=>[5,7,4,2,6,1,3]=>[4,7,3,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[4,7,3,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,4,3,1,2,6]=>[5,7,4,3,1,6,2]=>[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)=>2
[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[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)=>2
[5,7,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[5,4,3,1,7,2,6]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[5,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[7,4,3,1,5,2,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,4,6,1,2,3]=>[5,7,4,6,1,3,2]=>[7,6,3,1,4,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,4,6,1,3,2]=>[5,7,4,6,1,3,2]=>[7,6,3,1,4,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,4,6,2,1,3]=>[5,7,4,6,2,1,3]=>[5,7,3,1,4,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[5,7,4,6,3,1,2]=>[5,7,4,6,3,1,2]=>[7,5,3,1,4,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,6,1,2,3,4]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,6,1,2,4,3]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,6,1,3,2,4]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,6,1,3,4,2]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,6,1,4,2,3]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[5,7,6,2,1,3,4]=>[5,7,6,2,1,4,3]=>[4,7,6,1,3,2,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[4,7,6,1,3,2,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,6,2,3,1,4]=>[5,7,6,2,4,1,3]=>[4,7,5,1,3,2,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[4,7,5,1,3,2,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,7,6,3,1,2,4]=>[5,7,6,3,1,4,2]=>[7,4,6,1,3,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[5,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[7,4,6,1,3,2,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[5,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[5,4,7,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>3
[5,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[7,4,5,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[5,7,6,4,1,2,3]=>[5,7,6,4,1,3,2]=>[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
[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[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
[5,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[5,7,4,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>3
[5,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[7,5,4,1,3,2,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,3,4,5,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,3,4,7,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,3,5,4,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,3,5,7,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,3,7,4,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,3,7,5,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,4,3,5,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,4,3,7,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,4,5,3,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,4,5,7,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,4,7,3,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,4,7,5,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,5,3,4,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,5,3,7,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,5,4,3,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,5,4,7,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,5,7,3,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,5,7,4,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,7,3,4,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,7,3,5,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,7,4,3,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,7,4,5,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,7,5,3,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,2,7,5,4,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,2,4,5,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,2,4,7,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,2,5,4,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,2,5,7,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,2,7,4,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,2,7,5,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,4,2,5,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,4,2,7,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,4,5,2,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,4,5,7,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,4,7,2,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,4,7,5,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,5,2,4,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,5,2,7,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,5,4,2,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,5,4,7,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,5,7,2,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,5,7,4,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,7,2,4,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,7,2,5,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,7,4,2,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,7,4,5,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,7,5,2,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,3,7,5,4,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,2,3,5,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,2,3,7,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,2,5,3,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,2,5,7,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,2,7,3,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,2,7,5,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,3,2,5,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,3,2,7,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,3,5,2,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,3,5,7,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,3,7,2,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,3,7,5,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,5,2,3,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,5,2,7,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,5,3,2,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,5,3,7,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,5,7,2,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,5,7,3,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,7,2,3,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,7,2,5,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,7,3,2,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,7,3,5,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,7,5,2,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,4,7,5,3,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,2,3,4,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,2,3,7,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,2,4,3,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,2,4,7,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,2,7,3,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,2,7,4,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,3,2,4,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,3,2,7,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,3,4,2,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,3,4,7,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,3,7,2,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,3,7,4,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,4,2,3,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,4,2,7,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,4,3,2,7]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,4,3,7,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,4,7,2,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,4,7,3,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,7,2,3,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,7,2,4,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,7,3,2,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,7,3,4,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,7,4,2,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,5,7,4,3,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,2,3,4,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,2,3,5,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,2,4,3,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,2,4,5,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,2,5,3,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,2,5,4,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,3,2,4,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,3,2,5,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,3,4,2,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,3,4,5,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,3,5,2,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,3,5,4,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,4,2,3,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,4,2,5,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,4,3,2,5]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,4,3,5,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,4,5,2,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,4,5,3,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,5,2,3,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,5,2,4,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,5,3,2,4]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,5,3,4,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,5,4,2,3]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,2,1,3,4,5,7]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,3,4,7,5]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,3,5,4,7]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,3,5,7,4]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,3,7,4,5]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,3,7,5,4]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,4,3,5,7]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,4,3,7,5]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,4,5,3,7]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,4,5,7,3]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,4,7,3,5]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,4,7,5,3]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,5,3,4,7]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,5,3,7,4]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,5,4,3,7]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,5,4,7,3]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,5,7,3,4]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,5,7,4,3]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,7,3,4,5]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,7,3,5,4]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,7,4,3,5]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,7,4,5,3]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,7,5,3,4]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,1,4,5,7]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,1,4,7,5]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,1,5,4,7]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,1,5,7,4]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,1,7,4,5]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,1,7,5,4]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,4,1,5,7]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,4,1,7,5]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,3,5,1,4,7]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,5,1,7,4]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,3,5,7,1,4]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,3,7,1,4,5]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,7,1,5,4]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,7,4,1,5]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,4,1,3,5,7]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,1,3,7,5]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,1,5,3,7]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,1,5,7,3]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,1,7,3,5]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,1,7,5,3]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,3,1,5,7]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,3,1,7,5]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,4,5,1,3,7]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,5,1,7,3]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,5,3,1,7]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,4,5,7,1,3]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,4,7,1,3,5]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,7,1,5,3]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,4,7,3,1,5]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,4,7,5,1,3]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,5,1,3,4,7]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,1,3,7,4]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,1,4,3,7]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,1,4,7,3]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,1,7,3,4]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,1,7,4,3]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,3,1,4,7]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,3,1,7,4]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,3,4,1,7]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,5,3,7,1,4]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,5,4,1,3,7]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,4,1,7,3]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,5,4,7,1,3]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,5,7,1,3,4]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,7,1,4,3]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,5,7,4,1,3]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,7,1,3,4,5]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,1,3,5,4]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,1,4,3,5]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,1,4,5,3]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,1,5,3,4]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,1,5,4,3]=>[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,3,1,4,5]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,3,1,5,4]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,3,4,1,5]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,7,3,5,1,4]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,7,4,1,3,5]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,4,1,5,3]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,4,3,1,5]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,7,5,1,3,4]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,5,1,4,3]=>[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,7,5,3,1,4]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[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)=>3
[6,3,1,2,4,5,7]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,2,4,7,5]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,2,5,4,7]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,2,5,7,4]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,2,7,4,5]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,2,7,5,4]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,4,2,5,7]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,4,2,7,5]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,4,5,2,7]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,4,5,7,2]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,4,7,2,5]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,4,7,5,2]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,5,2,4,7]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,5,2,7,4]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,5,4,2,7]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,5,4,7,2]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,5,7,2,4]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,5,7,4,2]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,7,2,4,5]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,7,2,5,4]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,7,4,2,5]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,7,4,5,2]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,7,5,2,4]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,2,1,4,5,7]=>[6,3,2,1,7,5,4]=>[3,2,7,6,1,5,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,1,4,7,5]=>[6,3,2,1,7,5,4]=>[3,2,7,6,1,5,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,1,5,4,7]=>[6,3,2,1,7,5,4]=>[3,2,7,6,1,5,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,1,5,7,4]=>[6,3,2,1,7,5,4]=>[3,2,7,6,1,5,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,1,7,4,5]=>[6,3,2,1,7,5,4]=>[3,2,7,6,1,5,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[3,2,7,6,1,5,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,4,1,5,7]=>[6,3,2,7,1,5,4]=>[3,2,7,6,1,4,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,4,1,7,5]=>[6,3,2,7,1,5,4]=>[3,2,7,6,1,4,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[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)=>3
[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[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)=>3
[6,3,2,5,1,4,7]=>[6,3,2,7,1,5,4]=>[3,2,7,6,1,4,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,5,1,7,4]=>[6,3,2,7,1,5,4]=>[3,2,7,6,1,4,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[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)=>3
[6,3,2,5,7,1,4]=>[6,3,2,7,5,1,4]=>[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)=>3
[6,3,2,7,1,4,5]=>[6,3,2,7,1,5,4]=>[3,2,7,6,1,4,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[3,2,7,6,1,4,5]=>([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,7,4,1,5]=>[6,3,2,7,5,1,4]=>[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)=>3
[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[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)=>3
[6,3,4,1,2,5,7]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,1,2,7,5]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,1,5,2,7]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,1,5,7,2]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,1,7,2,5]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,1,7,5,2]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,2,1,5,7]=>[6,3,7,2,1,5,4]=>[4,2,7,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>3
[6,3,4,2,1,7,5]=>[6,3,7,2,1,5,4]=>[4,2,7,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>3
[6,3,4,2,5,1,7]=>[6,3,7,2,5,1,4]=>[4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>3
[6,3,4,2,7,1,5]=>[6,3,7,2,5,1,4]=>[4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>3
[6,3,4,5,1,2,7]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,5,1,7,2]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,5,2,1,7]=>[6,3,7,5,2,1,4]=>[5,2,7,4,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[6,3,4,5,7,1,2]=>[6,3,7,5,4,1,2]=>[7,2,5,4,1,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,7,1,2,5]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,7,1,5,2]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,4,7,2,1,5]=>[6,3,7,5,2,1,4]=>[5,2,7,4,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[6,3,4,7,5,1,2]=>[6,3,7,5,4,1,2]=>[7,2,5,4,1,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,1,2,4,7]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,1,2,7,4]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,1,4,2,7]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,1,4,7,2]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,1,7,2,4]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,1,7,4,2]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,2,1,4,7]=>[6,3,7,2,1,5,4]=>[4,2,7,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>3
[6,3,5,2,1,7,4]=>[6,3,7,2,1,5,4]=>[4,2,7,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>3
[6,3,5,2,4,1,7]=>[6,3,7,2,5,1,4]=>[4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>3
[6,3,5,2,7,1,4]=>[6,3,7,2,5,1,4]=>[4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>3
[6,3,5,4,1,2,7]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,4,1,7,2]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,4,2,1,7]=>[6,3,7,5,2,1,4]=>[5,2,7,4,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[6,3,5,4,7,1,2]=>[6,3,7,5,4,1,2]=>[7,2,5,4,1,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,7,1,2,4]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,7,1,4,2]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,5,7,2,1,4]=>[6,3,7,5,2,1,4]=>[5,2,7,4,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[6,3,5,7,4,1,2]=>[6,3,7,5,4,1,2]=>[7,2,5,4,1,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,1,2,4,5]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,1,2,5,4]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,1,4,2,5]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,1,4,5,2]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,1,5,2,4]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,1,5,4,2]=>[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,2,1,4,5]=>[6,3,7,2,1,5,4]=>[4,2,7,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>3
[6,3,7,2,1,5,4]=>[6,3,7,2,1,5,4]=>[4,2,7,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)=>3
[6,3,7,2,4,1,5]=>[6,3,7,2,5,1,4]=>[4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>3
[6,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>3
[6,3,7,4,1,2,5]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,4,1,5,2]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,4,2,1,5]=>[6,3,7,5,2,1,4]=>[5,2,7,4,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[6,3,7,4,5,1,2]=>[6,3,7,5,4,1,2]=>[7,2,5,4,1,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,5,1,2,4]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,3,7,5,2,1,4]=>[6,3,7,5,2,1,4]=>[5,2,7,4,1,3,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[6,3,7,5,4,1,2]=>[6,3,7,5,4,1,2]=>[7,2,5,4,1,3,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,2,3,5,7]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,2,3,7,5]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,2,5,3,7]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,2,5,7,3]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,2,7,3,5]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,2,7,5,3]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,3,2,5,7]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,3,2,7,5]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,3,5,2,7]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,3,5,7,2]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,3,7,2,5]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,3,7,5,2]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,5,2,3,7]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,5,2,7,3]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,5,3,2,7]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,5,3,7,2]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,5,7,2,3]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,5,7,3,2]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,7,2,3,5]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,7,2,5,3]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,7,3,2,5]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,7,3,5,2]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,7,5,2,3]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,2,1,3,5,7]=>[6,4,2,1,7,5,3]=>[3,7,2,6,1,5,4]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,1,3,7,5]=>[6,4,2,1,7,5,3]=>[3,7,2,6,1,5,4]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,1,5,3,7]=>[6,4,2,1,7,5,3]=>[3,7,2,6,1,5,4]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,1,5,7,3]=>[6,4,2,1,7,5,3]=>[3,7,2,6,1,5,4]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,1,7,3,5]=>[6,4,2,1,7,5,3]=>[3,7,2,6,1,5,4]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[3,7,2,6,1,5,4]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,3,1,5,7]=>[6,4,2,7,1,5,3]=>[3,7,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,3,1,7,5]=>[6,4,2,7,1,5,3]=>[3,7,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,3,5,1,7]=>[6,4,2,7,5,1,3]=>[3,7,2,5,1,4,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,3,7,1,5]=>[6,4,2,7,5,1,3]=>[3,7,2,5,1,4,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,5,1,3,7]=>[6,4,2,7,1,5,3]=>[3,7,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,5,1,7,3]=>[6,4,2,7,1,5,3]=>[3,7,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,5,3,1,7]=>[6,4,2,7,5,1,3]=>[3,7,2,5,1,4,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,5,7,1,3]=>[6,4,2,7,5,1,3]=>[3,7,2,5,1,4,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,7,1,3,5]=>[6,4,2,7,1,5,3]=>[3,7,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[3,7,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,7,3,1,5]=>[6,4,2,7,5,1,3]=>[3,7,2,5,1,4,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>[3,7,2,5,1,4,6]=>([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,3,1,2,5,7]=>[6,4,3,1,7,5,2]=>[7,3,2,6,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,1,2,7,5]=>[6,4,3,1,7,5,2]=>[7,3,2,6,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,1,5,2,7]=>[6,4,3,1,7,5,2]=>[7,3,2,6,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,1,5,7,2]=>[6,4,3,1,7,5,2]=>[7,3,2,6,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,1,7,2,5]=>[6,4,3,1,7,5,2]=>[7,3,2,6,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,1,7,5,2]=>[6,4,3,1,7,5,2]=>[7,3,2,6,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,2,1,5,7]=>[6,4,3,2,1,7,5]=>[4,3,2,7,1,6,5]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[6,4,3,2,1,7,5]=>[6,4,3,2,1,7,5]=>[4,3,2,7,1,6,5]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[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)=>3
[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[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)=>3
[6,4,3,5,1,2,7]=>[6,4,3,7,1,5,2]=>[7,3,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,5,1,7,2]=>[6,4,3,7,1,5,2]=>[7,3,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,5,2,1,7]=>[6,4,3,7,2,1,5]=>[5,3,2,7,1,4,6]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>3
[6,4,3,5,7,1,2]=>[6,4,3,7,5,1,2]=>[7,3,2,5,1,4,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,7,1,2,5]=>[6,4,3,7,1,5,2]=>[7,3,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[7,3,2,6,1,4,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,3,7,2,1,5]=>[6,4,3,7,2,1,5]=>[5,3,2,7,1,4,6]=>([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)=>3
[6,4,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[7,3,2,5,1,4,6]=>([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,5,1,2,3,7]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,5,1,2,7,3]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,5,1,3,2,7]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,5,1,3,7,2]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,5,1,7,2,3]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,5,1,7,3,2]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,5,2,1,3,7]=>[6,4,7,2,1,5,3]=>[4,7,2,6,1,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,5,2,1,7,3]=>[6,4,7,2,1,5,3]=>[4,7,2,6,1,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[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)=>3
[6,4,5,2,7,1,3]=>[6,4,7,2,5,1,3]=>[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)=>3
[6,4,5,3,1,2,7]=>[6,4,7,3,1,5,2]=>[7,4,2,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[6,4,5,3,1,7,2]=>[6,4,7,3,1,5,2]=>[7,4,2,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[6,4,5,3,2,1,7]=>[6,4,7,3,2,1,5]=>[5,4,2,7,1,3,6]=>([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,5,3,7,1,2]=>[6,4,7,3,5,1,2]=>[7,4,2,5,1,3,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,5,7,1,2,3]=>[6,4,7,5,1,3,2]=>[7,6,2,4,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,5,7,1,3,2]=>[6,4,7,5,1,3,2]=>[7,6,2,4,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,5,7,2,1,3]=>[6,4,7,5,2,1,3]=>[5,7,2,4,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[6,4,5,7,3,1,2]=>[6,4,7,5,3,1,2]=>[7,5,2,4,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,7,1,2,3,5]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,7,1,2,5,3]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,7,1,3,2,5]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,7,1,3,5,2]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,7,1,5,2,3]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,7,2,1,3,5]=>[6,4,7,2,1,5,3]=>[4,7,2,6,1,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,7,2,1,5,3]=>[6,4,7,2,1,5,3]=>[4,7,2,6,1,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,7,2,3,1,5]=>[6,4,7,2,5,1,3]=>[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)=>3
[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[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)=>3
[6,4,7,3,1,2,5]=>[6,4,7,3,1,5,2]=>[7,4,2,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>[7,4,2,6,1,3,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[6,4,7,3,2,1,5]=>[6,4,7,3,2,1,5]=>[5,4,2,7,1,3,6]=>([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>[7,4,2,5,1,3,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,7,5,1,2,3]=>[6,4,7,5,1,3,2]=>[7,6,2,4,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,7,5,1,3,2]=>[6,4,7,5,1,3,2]=>[7,6,2,4,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,4,7,5,2,1,3]=>[6,4,7,5,2,1,3]=>[5,7,2,4,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[6,4,7,5,3,1,2]=>[6,4,7,5,3,1,2]=>[7,5,2,4,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,2,3,4,7]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,2,3,7,4]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,2,4,3,7]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,2,4,7,3]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,2,7,3,4]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,2,7,4,3]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,3,2,4,7]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,3,2,7,4]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,3,4,2,7]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,3,4,7,2]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,3,7,2,4]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,3,7,4,2]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,4,2,3,7]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,4,2,7,3]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,4,3,2,7]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,4,3,7,2]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,4,7,2,3]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,4,7,3,2]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,7,2,3,4]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,7,2,4,3]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,7,3,2,4]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,7,3,4,2]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,7,4,2,3]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,1,7,4,3,2]=>[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,2,1,3,4,7]=>[6,5,2,1,7,4,3]=>[3,7,6,2,1,5,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,1,3,7,4]=>[6,5,2,1,7,4,3]=>[3,7,6,2,1,5,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,1,4,3,7]=>[6,5,2,1,7,4,3]=>[3,7,6,2,1,5,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,1,4,7,3]=>[6,5,2,1,7,4,3]=>[3,7,6,2,1,5,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,1,7,3,4]=>[6,5,2,1,7,4,3]=>[3,7,6,2,1,5,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,1,7,4,3]=>[6,5,2,1,7,4,3]=>[3,7,6,2,1,5,4]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,3,1,4,7]=>[6,5,2,7,1,4,3]=>[3,7,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,3,1,7,4]=>[6,5,2,7,1,4,3]=>[3,7,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,3,4,1,7]=>[6,5,2,7,4,1,3]=>[3,7,5,2,1,4,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,3,7,1,4]=>[6,5,2,7,4,1,3]=>[3,7,5,2,1,4,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,4,1,3,7]=>[6,5,2,7,1,4,3]=>[3,7,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,4,1,7,3]=>[6,5,2,7,1,4,3]=>[3,7,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,4,3,1,7]=>[6,5,2,7,4,1,3]=>[3,7,5,2,1,4,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,4,7,1,3]=>[6,5,2,7,4,1,3]=>[3,7,5,2,1,4,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,7,1,3,4]=>[6,5,2,7,1,4,3]=>[3,7,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,7,1,4,3]=>[6,5,2,7,1,4,3]=>[3,7,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,7,3,1,4]=>[6,5,2,7,4,1,3]=>[3,7,5,2,1,4,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,2,7,4,1,3]=>[6,5,2,7,4,1,3]=>[3,7,5,2,1,4,6]=>([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,3,1,2,4,7]=>[6,5,3,1,7,4,2]=>[7,3,6,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,1,2,7,4]=>[6,5,3,1,7,4,2]=>[7,3,6,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,1,4,2,7]=>[6,5,3,1,7,4,2]=>[7,3,6,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,1,4,7,2]=>[6,5,3,1,7,4,2]=>[7,3,6,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,1,7,2,4]=>[6,5,3,1,7,4,2]=>[7,3,6,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[7,3,6,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,2,1,4,7]=>[6,5,3,2,1,7,4]=>[4,3,7,2,1,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[6,5,3,2,1,7,4]=>[6,5,3,2,1,7,4]=>[4,3,7,2,1,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[6,5,3,2,4,1,7]=>[6,5,3,2,7,1,4]=>[4,3,7,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[6,5,3,2,7,1,4]=>[6,5,3,2,7,1,4]=>[4,3,7,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)=>3
[6,5,3,4,1,2,7]=>[6,5,3,7,1,4,2]=>[7,3,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,4,1,7,2]=>[6,5,3,7,1,4,2]=>[7,3,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[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)=>3
[6,5,3,4,7,1,2]=>[6,5,3,7,4,1,2]=>[7,3,5,2,1,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,7,1,2,4]=>[6,5,3,7,1,4,2]=>[7,3,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,7,1,4,2]=>[6,5,3,7,1,4,2]=>[7,3,6,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[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)=>3
[6,5,3,7,4,1,2]=>[6,5,3,7,4,1,2]=>[7,3,5,2,1,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,1,2,3,7]=>[6,5,4,1,7,3,2]=>[7,6,3,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,1,2,7,3]=>[6,5,4,1,7,3,2]=>[7,6,3,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,1,3,2,7]=>[6,5,4,1,7,3,2]=>[7,6,3,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,1,3,7,2]=>[6,5,4,1,7,3,2]=>[7,6,3,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,1,7,2,3]=>[6,5,4,1,7,3,2]=>[7,6,3,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,1,7,3,2]=>[6,5,4,1,7,3,2]=>[7,6,3,2,1,5,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,2,1,3,7]=>[6,5,4,2,1,7,3]=>[4,7,3,2,1,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,4,2,1,7,3]=>[6,5,4,2,1,7,3]=>[4,7,3,2,1,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,4,2,3,1,7]=>[6,5,4,2,7,1,3]=>[4,7,3,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,4,2,7,1,3]=>[6,5,4,2,7,1,3]=>[4,7,3,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,4,3,1,2,7]=>[6,5,4,3,1,7,2]=>[7,4,3,2,1,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,3,1,7,2]=>[6,5,4,3,1,7,2]=>[7,4,3,2,1,6,5]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,3,7,1,2]=>[6,5,4,3,7,1,2]=>[7,4,3,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,7,1,2,3]=>[6,5,4,7,1,3,2]=>[7,6,3,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,7,1,3,2]=>[6,5,4,7,1,3,2]=>[7,6,3,2,1,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,4,7,2,1,3]=>[6,5,4,7,2,1,3]=>[5,7,3,2,1,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[6,5,4,7,3,1,2]=>[6,5,4,7,3,1,2]=>[7,5,3,2,1,4,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,7,1,2,3,4]=>[6,5,7,1,4,3,2]=>[7,6,5,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,7,1,2,4,3]=>[6,5,7,1,4,3,2]=>[7,6,5,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,7,1,3,2,4]=>[6,5,7,1,4,3,2]=>[7,6,5,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,7,1,3,4,2]=>[6,5,7,1,4,3,2]=>[7,6,5,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,7,1,4,2,3]=>[6,5,7,1,4,3,2]=>[7,6,5,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,7,1,4,3,2]=>[6,5,7,1,4,3,2]=>[7,6,5,2,1,3,4]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,7,2,1,3,4]=>[6,5,7,2,1,4,3]=>[4,7,6,2,1,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[4,7,6,2,1,3,5]=>([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,7,2,3,1,4]=>[6,5,7,2,4,1,3]=>[4,7,5,2,1,3,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>[4,7,5,2,1,3,6]=>([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,5,7,3,1,2,4]=>[6,5,7,3,1,4,2]=>[7,4,6,2,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[6,5,7,3,1,4,2]=>[6,5,7,3,1,4,2]=>[7,4,6,2,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[6,5,7,3,2,1,4]=>[6,5,7,3,2,1,4]=>[5,4,7,2,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)=>3
[6,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[7,4,5,2,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>2
[6,5,7,4,1,2,3]=>[6,5,7,4,1,3,2]=>[7,6,4,2,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>[7,6,4,2,1,3,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[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)=>3
[6,5,7,4,3,1,2]=>[6,5,7,4,3,1,2]=>[7,5,4,2,1,3,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,2,3,4,5]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,2,3,5,4]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,2,4,3,5]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,2,4,5,3]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,2,5,3,4]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,2,5,4,3]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,3,2,4,5]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,3,2,5,4]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,3,4,2,5]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,3,4,5,2]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,3,5,2,4]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,3,5,4,2]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,4,2,3,5]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,4,2,5,3]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,4,3,2,5]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,4,3,5,2]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,4,5,2,3]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,4,5,3,2]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,5,2,3,4]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,5,2,4,3]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,5,3,2,4]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,5,3,4,2]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,5,4,2,3]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,1,5,4,3,2]=>[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,2,1,3,4,5]=>[6,7,2,1,5,4,3]=>[3,7,6,5,1,2,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,1,3,5,4]=>[6,7,2,1,5,4,3]=>[3,7,6,5,1,2,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,1,4,3,5]=>[6,7,2,1,5,4,3]=>[3,7,6,5,1,2,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,1,4,5,3]=>[6,7,2,1,5,4,3]=>[3,7,6,5,1,2,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,1,5,3,4]=>[6,7,2,1,5,4,3]=>[3,7,6,5,1,2,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,1,5,4,3]=>[6,7,2,1,5,4,3]=>[3,7,6,5,1,2,4]=>([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,3,1,4,5]=>[6,7,2,5,1,4,3]=>[3,7,6,4,1,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,3,1,5,4]=>[6,7,2,5,1,4,3]=>[3,7,6,4,1,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,3,4,1,5]=>[6,7,2,5,4,1,3]=>[3,7,5,4,1,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,2,3,5,1,4]=>[6,7,2,5,4,1,3]=>[3,7,5,4,1,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,2,4,1,3,5]=>[6,7,2,5,1,4,3]=>[3,7,6,4,1,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,4,1,5,3]=>[6,7,2,5,1,4,3]=>[3,7,6,4,1,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,4,3,1,5]=>[6,7,2,5,4,1,3]=>[3,7,5,4,1,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,2,4,5,1,3]=>[6,7,2,5,4,1,3]=>[3,7,5,4,1,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,2,5,1,3,4]=>[6,7,2,5,1,4,3]=>[3,7,6,4,1,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[3,7,6,4,1,2,5]=>([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,2,5,3,1,4]=>[6,7,2,5,4,1,3]=>[3,7,5,4,1,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,2,5,4,1,3]=>[6,7,2,5,4,1,3]=>[3,7,5,4,1,2,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,3,1,2,4,5]=>[6,7,3,1,5,4,2]=>[7,3,6,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,3,1,2,5,4]=>[6,7,3,1,5,4,2]=>[7,3,6,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,3,1,4,2,5]=>[6,7,3,1,5,4,2]=>[7,3,6,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,3,1,4,5,2]=>[6,7,3,1,5,4,2]=>[7,3,6,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,3,1,5,2,4]=>[6,7,3,1,5,4,2]=>[7,3,6,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,3,1,5,4,2]=>[6,7,3,1,5,4,2]=>[7,3,6,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,3,2,1,4,5]=>[6,7,3,2,1,5,4]=>[4,3,7,6,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,3,2,1,5,4]=>[6,7,3,2,1,5,4]=>[4,3,7,6,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,3,2,4,1,5]=>[6,7,3,2,5,1,4]=>[4,3,7,5,1,2,6]=>([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,3,2,5,1,4]=>[6,7,3,2,5,1,4]=>[4,3,7,5,1,2,6]=>([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,3,4,1,2,5]=>[6,7,3,5,1,4,2]=>[7,3,6,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,3,4,1,5,2]=>[6,7,3,5,1,4,2]=>[7,3,6,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,3,4,2,1,5]=>[6,7,3,5,2,1,4]=>[5,3,7,4,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>3
[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[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)=>2
[6,7,3,5,1,2,4]=>[6,7,3,5,1,4,2]=>[7,3,6,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[7,3,6,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,3,5,2,1,4]=>[6,7,3,5,2,1,4]=>[5,3,7,4,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>3
[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[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)=>2
[6,7,4,1,2,3,5]=>[6,7,4,1,5,3,2]=>[7,6,3,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,4,1,2,5,3]=>[6,7,4,1,5,3,2]=>[7,6,3,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,4,1,3,2,5]=>[6,7,4,1,5,3,2]=>[7,6,3,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,4,1,3,5,2]=>[6,7,4,1,5,3,2]=>[7,6,3,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,4,1,5,2,3]=>[6,7,4,1,5,3,2]=>[7,6,3,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,4,1,5,3,2]=>[6,7,4,1,5,3,2]=>[7,6,3,5,1,2,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,4,2,1,3,5]=>[6,7,4,2,1,5,3]=>[4,7,3,6,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,4,2,1,5,3]=>[6,7,4,2,1,5,3]=>[4,7,3,6,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,4,2,3,1,5]=>[6,7,4,2,5,1,3]=>[4,7,3,5,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,4,2,5,1,3]=>[6,7,4,2,5,1,3]=>[4,7,3,5,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,4,3,1,2,5]=>[6,7,4,3,1,5,2]=>[7,4,3,6,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,4,3,1,5,2]=>[6,7,4,3,1,5,2]=>[7,4,3,6,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[5,4,3,7,1,2,6]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)=>3
[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[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)=>2
[6,7,4,5,1,2,3]=>[6,7,4,5,1,3,2]=>[7,6,3,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,4,5,1,3,2]=>[6,7,4,5,1,3,2]=>[7,6,3,4,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,4,5,2,1,3]=>[6,7,4,5,2,1,3]=>[5,7,3,4,1,2,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[6,7,4,5,3,1,2]=>[6,7,4,5,3,1,2]=>[7,5,3,4,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,1,2,3,4]=>[6,7,5,1,4,3,2]=>[7,6,5,3,1,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,1,2,4,3]=>[6,7,5,1,4,3,2]=>[7,6,5,3,1,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,1,3,2,4]=>[6,7,5,1,4,3,2]=>[7,6,5,3,1,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,1,3,4,2]=>[6,7,5,1,4,3,2]=>[7,6,5,3,1,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,1,4,2,3]=>[6,7,5,1,4,3,2]=>[7,6,5,3,1,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,1,4,3,2]=>[6,7,5,1,4,3,2]=>[7,6,5,3,1,2,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,2,1,3,4]=>[6,7,5,2,1,4,3]=>[4,7,6,3,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,5,2,1,4,3]=>[6,7,5,2,1,4,3]=>[4,7,6,3,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,5,2,3,1,4]=>[6,7,5,2,4,1,3]=>[4,7,5,3,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,5,2,4,1,3]=>[6,7,5,2,4,1,3]=>[4,7,5,3,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,5,3,1,2,4]=>[6,7,5,3,1,4,2]=>[7,4,6,3,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,3,1,4,2]=>[6,7,5,3,1,4,2]=>[7,4,6,3,1,2,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,3,2,1,4]=>[6,7,5,3,2,1,4]=>[5,4,7,3,1,2,6]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,5,3,4,1,2]=>[6,7,5,3,4,1,2]=>[7,4,5,3,1,2,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,4,1,2,3]=>[6,7,5,4,1,3,2]=>[7,6,4,3,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,4,1,3,2]=>[6,7,5,4,1,3,2]=>[7,6,4,3,1,2,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[6,7,5,4,2,1,3]=>[6,7,5,4,2,1,3]=>[5,7,4,3,1,2,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[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)=>2
[7,1,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,3,4,6,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,3,5,4,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,3,5,6,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,3,6,4,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,3,6,5,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,4,3,5,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,4,3,6,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,4,5,3,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,4,5,6,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,4,6,3,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,4,6,5,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,5,3,4,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,5,3,6,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,5,4,3,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,5,4,6,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,5,6,3,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,5,6,4,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,6,3,4,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,6,3,5,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,6,4,3,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,6,4,5,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,6,5,3,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,2,6,5,4,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,2,4,5,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,2,4,6,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,2,5,4,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,2,5,6,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,2,6,4,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,2,6,5,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,4,2,5,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,4,2,6,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,4,5,2,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,4,5,6,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,4,6,2,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,4,6,5,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,5,2,4,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,5,2,6,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,5,4,2,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,5,4,6,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,5,6,2,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,5,6,4,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,6,2,4,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,6,2,5,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,6,4,2,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,6,4,5,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,6,5,2,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,3,6,5,4,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,2,3,5,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,2,3,6,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,2,5,3,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,2,5,6,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,2,6,3,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,2,6,5,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,3,2,5,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,3,2,6,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,3,5,2,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,3,5,6,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,3,6,2,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,3,6,5,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,5,2,3,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,5,2,6,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,5,3,2,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,5,3,6,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,5,6,2,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,5,6,3,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,6,2,3,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,6,2,5,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,6,3,2,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,6,3,5,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,6,5,2,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,4,6,5,3,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,2,3,4,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,2,3,6,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,2,4,3,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,2,4,6,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,2,6,3,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,2,6,4,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,3,2,4,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,3,2,6,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,3,4,2,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,3,4,6,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,3,6,2,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,3,6,4,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,4,2,3,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,4,2,6,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,4,3,2,6]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,4,3,6,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,4,6,2,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,4,6,3,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,6,2,3,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,6,2,4,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,6,3,2,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,6,3,4,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,6,4,2,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,5,6,4,3,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,2,3,4,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,2,3,5,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,2,4,3,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,2,4,5,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,2,5,3,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,2,5,4,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,3,2,4,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,3,2,5,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,3,4,2,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,3,4,5,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,3,5,2,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,3,5,4,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,4,2,3,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,4,2,5,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,4,3,2,5]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,4,3,5,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,4,5,2,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,4,5,3,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,5,2,3,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,5,2,4,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,5,3,2,4]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,5,3,4,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,5,4,2,3]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,2,1,3,4,5,6]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,3,4,6,5]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,3,5,4,6]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,3,5,6,4]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,3,6,4,5]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,3,6,5,4]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,4,3,5,6]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,4,3,6,5]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,4,5,3,6]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,4,5,6,3]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,4,6,3,5]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,4,6,5,3]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,5,3,4,6]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,5,3,6,4]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,5,4,3,6]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,5,4,6,3]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,5,6,3,4]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,5,6,4,3]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,6,3,4,5]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,6,3,5,4]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,6,4,3,5]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,6,4,5,3]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,6,5,3,4]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,1,6,5,4,3]=>[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,1,4,5,6]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,1,4,6,5]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,1,5,4,6]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,1,5,6,4]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,1,6,4,5]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,1,6,5,4]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,4,1,5,6]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,4,1,6,5]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,4,5,1,6]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,4,6,1,5]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,5,1,4,6]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,5,1,6,4]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,5,4,1,6]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,5,6,1,4]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,6,1,4,5]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,6,1,5,4]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,6,4,1,5]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,3,6,5,1,4]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,1,3,5,6]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,1,3,6,5]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,1,5,3,6]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,1,5,6,3]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,1,6,3,5]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,1,6,5,3]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,3,1,5,6]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,3,1,6,5]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,3,5,1,6]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,3,6,1,5]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,5,1,3,6]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,5,1,6,3]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,5,3,1,6]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,5,6,1,3]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,6,1,3,5]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,6,1,5,3]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,6,3,1,5]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,4,6,5,1,3]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,1,3,4,6]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,1,3,6,4]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,1,4,3,6]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,1,4,6,3]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,1,6,3,4]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,1,6,4,3]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,3,1,4,6]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,3,1,6,4]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,3,4,1,6]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,3,6,1,4]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,4,1,3,6]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,4,1,6,3]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,4,3,1,6]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,4,6,1,3]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,6,1,3,4]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,6,1,4,3]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,6,3,1,4]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,5,6,4,1,3]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,1,3,4,5]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,1,3,5,4]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,1,4,3,5]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,1,4,5,3]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,1,5,3,4]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,3,1,4,5]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,3,1,5,4]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,3,4,1,5]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,3,5,1,4]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,4,1,3,5]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,4,1,5,3]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,4,3,1,5]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,4,5,1,3]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,5,1,3,4]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,5,3,1,4]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,2,6,5,4,1,3]=>[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,1,2,4,5,6]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,2,4,6,5]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,2,5,4,6]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,2,5,6,4]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,2,6,4,5]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,2,6,5,4]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,4,2,5,6]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,4,2,6,5]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,4,5,2,6]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,4,5,6,2]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,4,6,2,5]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,4,6,5,2]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,5,2,4,6]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,5,2,6,4]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,5,4,2,6]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,5,4,6,2]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,5,6,2,4]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,5,6,4,2]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,6,2,4,5]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,6,2,5,4]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,6,4,2,5]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,6,4,5,2]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,6,5,2,4]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,2,1,4,5,6]=>[7,3,2,1,6,5,4]=>[3,2,7,6,5,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,1,4,6,5]=>[7,3,2,1,6,5,4]=>[3,2,7,6,5,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,1,5,4,6]=>[7,3,2,1,6,5,4]=>[3,2,7,6,5,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,1,5,6,4]=>[7,3,2,1,6,5,4]=>[3,2,7,6,5,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,1,6,4,5]=>[7,3,2,1,6,5,4]=>[3,2,7,6,5,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[3,2,7,6,5,1,4]=>([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,4,1,5,6]=>[7,3,2,6,1,5,4]=>[3,2,7,6,4,1,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,4,1,6,5]=>[7,3,2,6,1,5,4]=>[3,2,7,6,4,1,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,4,5,1,6]=>[7,3,2,6,5,1,4]=>[3,2,7,5,4,1,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,4,6,1,5]=>[7,3,2,6,5,1,4]=>[3,2,7,5,4,1,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,5,1,4,6]=>[7,3,2,6,1,5,4]=>[3,2,7,6,4,1,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,5,1,6,4]=>[7,3,2,6,1,5,4]=>[3,2,7,6,4,1,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,5,4,1,6]=>[7,3,2,6,5,1,4]=>[3,2,7,5,4,1,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,5,6,1,4]=>[7,3,2,6,5,1,4]=>[3,2,7,5,4,1,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,6,1,4,5]=>[7,3,2,6,1,5,4]=>[3,2,7,6,4,1,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[3,2,7,6,4,1,5]=>([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,6,4,1,5]=>[7,3,2,6,5,1,4]=>[3,2,7,5,4,1,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,2,6,5,1,4]=>[7,3,2,6,5,1,4]=>[3,2,7,5,4,1,6]=>([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,4,1,2,5,6]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,1,2,6,5]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,1,5,2,6]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,1,5,6,2]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,1,6,2,5]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,1,6,5,2]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,2,1,5,6]=>[7,3,6,2,1,5,4]=>[4,2,7,6,3,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,4,2,1,6,5]=>[7,3,6,2,1,5,4]=>[4,2,7,6,3,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,4,2,5,1,6]=>[7,3,6,2,5,1,4]=>[4,2,7,5,3,1,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,4,2,6,1,5]=>[7,3,6,2,5,1,4]=>[4,2,7,5,3,1,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,4,5,1,2,6]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,5,1,6,2]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,5,2,1,6]=>[7,3,6,5,2,1,4]=>[5,2,7,4,3,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[7,3,4,5,6,1,2]=>[7,3,6,5,4,1,2]=>[7,2,5,4,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,6,1,2,5]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,6,1,5,2]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,4,6,2,1,5]=>[7,3,6,5,2,1,4]=>[5,2,7,4,3,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[7,3,4,6,5,1,2]=>[7,3,6,5,4,1,2]=>[7,2,5,4,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,1,2,4,6]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,1,2,6,4]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,1,4,2,6]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,1,4,6,2]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,1,6,2,4]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,1,6,4,2]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,2,1,4,6]=>[7,3,6,2,1,5,4]=>[4,2,7,6,3,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,5,2,1,6,4]=>[7,3,6,2,1,5,4]=>[4,2,7,6,3,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,5,2,4,1,6]=>[7,3,6,2,5,1,4]=>[4,2,7,5,3,1,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,5,2,6,1,4]=>[7,3,6,2,5,1,4]=>[4,2,7,5,3,1,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,5,4,1,2,6]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,4,1,6,2]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,4,2,1,6]=>[7,3,6,5,2,1,4]=>[5,2,7,4,3,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[7,3,5,4,6,1,2]=>[7,3,6,5,4,1,2]=>[7,2,5,4,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,6,1,2,4]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,6,1,4,2]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,5,6,2,1,4]=>[7,3,6,5,2,1,4]=>[5,2,7,4,3,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[7,3,5,6,4,1,2]=>[7,3,6,5,4,1,2]=>[7,2,5,4,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,1,2,4,5]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,1,2,5,4]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,1,4,2,5]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,1,4,5,2]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,1,5,2,4]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,1,5,4,2]=>[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,2,1,4,5]=>[7,3,6,2,1,5,4]=>[4,2,7,6,3,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[4,2,7,6,3,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,6,2,4,1,5]=>[7,3,6,2,5,1,4]=>[4,2,7,5,3,1,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[4,2,7,5,3,1,6]=>([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,3,6,4,1,2,5]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,4,1,5,2]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,4,2,1,5]=>[7,3,6,5,2,1,4]=>[5,2,7,4,3,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[7,3,6,4,5,1,2]=>[7,3,6,5,4,1,2]=>[7,2,5,4,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,5,1,2,4]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,5,1,4,2]=>[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[5,2,7,4,3,1,6]=>([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[7,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[7,2,5,4,3,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,2,3,5,6]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,2,3,6,5]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,2,5,3,6]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,2,5,6,3]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,2,6,3,5]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,2,6,5,3]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,3,2,5,6]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,3,2,6,5]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,3,5,2,6]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,3,5,6,2]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,3,6,2,5]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,3,6,5,2]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,5,2,3,6]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,5,2,6,3]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,5,3,2,6]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,5,3,6,2]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,5,6,2,3]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,5,6,3,2]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,6,2,3,5]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,6,2,5,3]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,6,3,2,5]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,6,3,5,2]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,6,5,2,3]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,2,1,3,5,6]=>[7,4,2,1,6,5,3]=>[3,7,2,6,5,1,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,1,3,6,5]=>[7,4,2,1,6,5,3]=>[3,7,2,6,5,1,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,1,5,3,6]=>[7,4,2,1,6,5,3]=>[3,7,2,6,5,1,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,1,5,6,3]=>[7,4,2,1,6,5,3]=>[3,7,2,6,5,1,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,1,6,3,5]=>[7,4,2,1,6,5,3]=>[3,7,2,6,5,1,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,1,6,5,3]=>[7,4,2,1,6,5,3]=>[3,7,2,6,5,1,4]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,3,1,5,6]=>[7,4,2,6,1,5,3]=>[3,7,2,6,4,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,3,1,6,5]=>[7,4,2,6,1,5,3]=>[3,7,2,6,4,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,3,5,1,6]=>[7,4,2,6,5,1,3]=>[3,7,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,3,6,1,5]=>[7,4,2,6,5,1,3]=>[3,7,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,5,1,3,6]=>[7,4,2,6,1,5,3]=>[3,7,2,6,4,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,5,1,6,3]=>[7,4,2,6,1,5,3]=>[3,7,2,6,4,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,5,3,1,6]=>[7,4,2,6,5,1,3]=>[3,7,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,5,6,1,3]=>[7,4,2,6,5,1,3]=>[3,7,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,6,1,3,5]=>[7,4,2,6,1,5,3]=>[3,7,2,6,4,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[3,7,2,6,4,1,5]=>([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,6,3,1,5]=>[7,4,2,6,5,1,3]=>[3,7,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[3,7,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,3,1,2,5,6]=>[7,4,3,1,6,5,2]=>[7,3,2,6,5,1,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,1,2,6,5]=>[7,4,3,1,6,5,2]=>[7,3,2,6,5,1,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,1,5,2,6]=>[7,4,3,1,6,5,2]=>[7,3,2,6,5,1,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,1,5,6,2]=>[7,4,3,1,6,5,2]=>[7,3,2,6,5,1,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,1,6,2,5]=>[7,4,3,1,6,5,2]=>[7,3,2,6,5,1,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,1,6,5,2]=>[7,4,3,1,6,5,2]=>[7,3,2,6,5,1,4]=>([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,2,1,5,6]=>[7,4,3,2,1,6,5]=>[4,3,2,7,6,1,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[4,3,2,7,6,1,5]=>([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,3,2,5,1,6]=>[7,4,3,2,6,1,5]=>[4,3,2,7,5,1,6]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[7,4,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[4,3,2,7,5,1,6]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)=>3
[7,4,3,5,1,2,6]=>[7,4,3,6,1,5,2]=>[7,3,2,6,4,1,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,5,1,6,2]=>[7,4,3,6,1,5,2]=>[7,3,2,6,4,1,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,5,2,1,6]=>[7,4,3,6,2,1,5]=>[5,3,2,7,4,1,6]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[7,4,3,5,6,1,2]=>[7,4,3,6,5,1,2]=>[7,3,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,6,1,2,5]=>[7,4,3,6,1,5,2]=>[7,3,2,6,4,1,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>[7,3,2,6,4,1,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>[5,3,2,7,4,1,6]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[7,3,2,5,4,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,1,2,3,6]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,1,2,6,3]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,1,3,2,6]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,1,3,6,2]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,1,6,2,3]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,1,6,3,2]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,2,1,3,6]=>[7,4,6,2,1,5,3]=>[4,7,2,6,3,1,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,5,2,1,6,3]=>[7,4,6,2,1,5,3]=>[4,7,2,6,3,1,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,5,2,3,1,6]=>[7,4,6,2,5,1,3]=>[4,7,2,5,3,1,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,5,2,6,1,3]=>[7,4,6,2,5,1,3]=>[4,7,2,5,3,1,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,5,3,1,2,6]=>[7,4,6,3,1,5,2]=>[7,4,2,6,3,1,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,3,1,6,2]=>[7,4,6,3,1,5,2]=>[7,4,2,6,3,1,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,3,2,1,6]=>[7,4,6,3,2,1,5]=>[5,4,2,7,3,1,6]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,5,3,6,1,2]=>[7,4,6,3,5,1,2]=>[7,4,2,5,3,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,6,1,2,3]=>[7,4,6,5,1,3,2]=>[7,6,2,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,6,1,3,2]=>[7,4,6,5,1,3,2]=>[7,6,2,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,5,6,2,1,3]=>[7,4,6,5,2,1,3]=>[5,7,2,4,3,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>3
[7,4,5,6,3,1,2]=>[7,4,6,5,3,1,2]=>[7,5,2,4,3,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,1,2,3,5]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,1,2,5,3]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,1,3,2,5]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,1,3,5,2]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,1,5,2,3]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,2,1,3,5]=>[7,4,6,2,1,5,3]=>[4,7,2,6,3,1,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,6,2,1,5,3]=>[7,4,6,2,1,5,3]=>[4,7,2,6,3,1,5]=>([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,6,2,3,1,5]=>[7,4,6,2,5,1,3]=>[4,7,2,5,3,1,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[4,7,2,5,3,1,6]=>([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,6,3,1,2,5]=>[7,4,6,3,1,5,2]=>[7,4,2,6,3,1,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,3,1,5,2]=>[7,4,6,3,1,5,2]=>[7,4,2,6,3,1,5]=>([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,3,2,1,5]=>[7,4,6,3,2,1,5]=>[5,4,2,7,3,1,6]=>([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>[7,4,2,5,3,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,5,1,2,3]=>[7,4,6,5,1,3,2]=>[7,6,2,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,5,1,3,2]=>[7,4,6,5,1,3,2]=>[7,6,2,4,3,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,4,6,5,2,1,3]=>[7,4,6,5,2,1,3]=>[5,7,2,4,3,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>3
[7,4,6,5,3,1,2]=>[7,4,6,5,3,1,2]=>[7,5,2,4,3,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,2,3,4,6]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,2,3,6,4]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,2,4,3,6]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,2,4,6,3]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,2,6,3,4]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,2,6,4,3]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,3,2,4,6]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,3,2,6,4]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,3,4,2,6]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,3,4,6,2]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,3,6,2,4]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,3,6,4,2]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,4,2,3,6]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,4,2,6,3]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,4,3,2,6]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,4,3,6,2]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,4,6,2,3]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,4,6,3,2]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,6,2,3,4]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,6,2,4,3]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,6,3,2,4]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,6,3,4,2]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,6,4,2,3]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,1,6,4,3,2]=>[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,2,1,3,4,6]=>[7,5,2,1,6,4,3]=>[3,7,6,2,5,1,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,1,3,6,4]=>[7,5,2,1,6,4,3]=>[3,7,6,2,5,1,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,1,4,3,6]=>[7,5,2,1,6,4,3]=>[3,7,6,2,5,1,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,1,4,6,3]=>[7,5,2,1,6,4,3]=>[3,7,6,2,5,1,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,1,6,3,4]=>[7,5,2,1,6,4,3]=>[3,7,6,2,5,1,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,1,6,4,3]=>[7,5,2,1,6,4,3]=>[3,7,6,2,5,1,4]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,3,1,4,6]=>[7,5,2,6,1,4,3]=>[3,7,6,2,4,1,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,3,1,6,4]=>[7,5,2,6,1,4,3]=>[3,7,6,2,4,1,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,3,4,1,6]=>[7,5,2,6,4,1,3]=>[3,7,5,2,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,3,6,1,4]=>[7,5,2,6,4,1,3]=>[3,7,5,2,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,4,1,3,6]=>[7,5,2,6,1,4,3]=>[3,7,6,2,4,1,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,4,1,6,3]=>[7,5,2,6,1,4,3]=>[3,7,6,2,4,1,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,4,3,1,6]=>[7,5,2,6,4,1,3]=>[3,7,5,2,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,4,6,1,3]=>[7,5,2,6,4,1,3]=>[3,7,5,2,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,6,1,3,4]=>[7,5,2,6,1,4,3]=>[3,7,6,2,4,1,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,6,1,4,3]=>[7,5,2,6,1,4,3]=>[3,7,6,2,4,1,5]=>([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,6,3,1,4]=>[7,5,2,6,4,1,3]=>[3,7,5,2,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,2,6,4,1,3]=>[7,5,2,6,4,1,3]=>[3,7,5,2,4,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,3,1,2,4,6]=>[7,5,3,1,6,4,2]=>[7,3,6,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,1,2,6,4]=>[7,5,3,1,6,4,2]=>[7,3,6,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,1,4,2,6]=>[7,5,3,1,6,4,2]=>[7,3,6,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,1,4,6,2]=>[7,5,3,1,6,4,2]=>[7,3,6,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,1,6,2,4]=>[7,5,3,1,6,4,2]=>[7,3,6,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,1,6,4,2]=>[7,5,3,1,6,4,2]=>[7,3,6,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,2,1,4,6]=>[7,5,3,2,1,6,4]=>[4,3,7,2,6,1,5]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,3,2,1,6,4]=>[7,5,3,2,1,6,4]=>[4,3,7,2,6,1,5]=>([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,3,2,4,1,6]=>[7,5,3,2,6,1,4]=>[4,3,7,2,5,1,6]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,3,2,6,1,4]=>[7,5,3,2,6,1,4]=>[4,3,7,2,5,1,6]=>([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,3,4,1,2,6]=>[7,5,3,6,1,4,2]=>[7,3,6,2,4,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,4,1,6,2]=>[7,5,3,6,1,4,2]=>[7,3,6,2,4,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,4,2,1,6]=>[7,5,3,6,2,1,4]=>[5,3,7,2,4,1,6]=>([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[7,5,3,4,6,1,2]=>[7,5,3,6,4,1,2]=>[7,3,5,2,4,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,6,1,2,4]=>[7,5,3,6,1,4,2]=>[7,3,6,2,4,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,6,1,4,2]=>[7,5,3,6,1,4,2]=>[7,3,6,2,4,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>[5,3,7,2,4,1,6]=>([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)=>3
[7,5,3,6,4,1,2]=>[7,5,3,6,4,1,2]=>[7,3,5,2,4,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,1,2,3,6]=>[7,5,4,1,6,3,2]=>[7,6,3,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,1,2,6,3]=>[7,5,4,1,6,3,2]=>[7,6,3,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,1,3,2,6]=>[7,5,4,1,6,3,2]=>[7,6,3,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,1,3,6,2]=>[7,5,4,1,6,3,2]=>[7,6,3,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,1,6,2,3]=>[7,5,4,1,6,3,2]=>[7,6,3,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>[7,6,3,2,5,1,4]=>([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,2,1,3,6]=>[7,5,4,2,1,6,3]=>[4,7,3,2,6,1,5]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,4,2,1,6,3]=>[7,5,4,2,1,6,3]=>[4,7,3,2,6,1,5]=>([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,4,2,3,1,6]=>[7,5,4,2,6,1,3]=>[4,7,3,2,5,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[4,7,3,2,5,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,4,3,1,2,6]=>[7,5,4,3,1,6,2]=>[7,4,3,2,6,1,5]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,3,1,6,2]=>[7,5,4,3,1,6,2]=>[7,4,3,2,6,1,5]=>([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[5,4,3,2,7,1,6]=>([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[7,4,3,2,5,1,6]=>([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,6,1,2,3]=>[7,5,4,6,1,3,2]=>[7,6,3,2,4,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,6,1,3,2]=>[7,5,4,6,1,3,2]=>[7,6,3,2,4,1,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,4,6,2,1,3]=>[7,5,4,6,2,1,3]=>[5,7,3,2,4,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)=>3
[7,5,4,6,3,1,2]=>[7,5,4,6,3,1,2]=>[7,5,3,2,4,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,1,2,3,4]=>[7,5,6,1,4,3,2]=>[7,6,5,2,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,1,2,4,3]=>[7,5,6,1,4,3,2]=>[7,6,5,2,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,1,3,2,4]=>[7,5,6,1,4,3,2]=>[7,6,5,2,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,1,3,4,2]=>[7,5,6,1,4,3,2]=>[7,6,5,2,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,1,4,2,3]=>[7,5,6,1,4,3,2]=>[7,6,5,2,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[7,6,5,2,3,1,4]=>([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,2,1,3,4]=>[7,5,6,2,1,4,3]=>[4,7,6,2,3,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>[4,7,6,2,3,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,6,2,3,1,4]=>[7,5,6,2,4,1,3]=>[4,7,5,2,3,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[4,7,5,2,3,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,6,3,1,2,4]=>[7,5,6,3,1,4,2]=>[7,4,6,2,3,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,3,1,4,2]=>[7,5,6,3,1,4,2]=>[7,4,6,2,3,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[5,4,7,2,3,1,6]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[7,4,5,2,3,1,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,4,1,2,3]=>[7,5,6,4,1,3,2]=>[7,6,4,2,3,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,4,1,3,2]=>[7,5,6,4,1,3,2]=>[7,6,4,2,3,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,5,6,4,2,1,3]=>[7,5,6,4,2,1,3]=>[5,7,4,2,3,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>[7,5,4,2,3,1,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,2,3,4,5]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,2,3,5,4]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,2,4,3,5]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,2,4,5,3]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,2,5,3,4]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,2,5,4,3]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,3,2,4,5]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,3,2,5,4]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,3,4,2,5]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,3,4,5,2]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,3,5,2,4]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,3,5,4,2]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,4,2,3,5]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,4,2,5,3]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,4,3,2,5]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,4,3,5,2]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,4,5,2,3]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,4,5,3,2]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,5,2,3,4]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,5,2,4,3]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,5,3,2,4]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,5,3,4,2]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,5,4,2,3]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,2,1,3,4,5]=>[7,6,2,1,5,4,3]=>[3,7,6,5,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,1,3,5,4]=>[7,6,2,1,5,4,3]=>[3,7,6,5,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,1,4,3,5]=>[7,6,2,1,5,4,3]=>[3,7,6,5,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,1,4,5,3]=>[7,6,2,1,5,4,3]=>[3,7,6,5,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,1,5,3,4]=>[7,6,2,1,5,4,3]=>[3,7,6,5,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,1,5,4,3]=>[7,6,2,1,5,4,3]=>[3,7,6,5,2,1,4]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,3,1,4,5]=>[7,6,2,5,1,4,3]=>[3,7,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,3,1,5,4]=>[7,6,2,5,1,4,3]=>[3,7,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,3,4,1,5]=>[7,6,2,5,4,1,3]=>[3,7,5,4,2,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,3,5,1,4]=>[7,6,2,5,4,1,3]=>[3,7,5,4,2,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,4,1,3,5]=>[7,6,2,5,1,4,3]=>[3,7,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,4,1,5,3]=>[7,6,2,5,1,4,3]=>[3,7,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,4,3,1,5]=>[7,6,2,5,4,1,3]=>[3,7,5,4,2,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,4,5,1,3]=>[7,6,2,5,4,1,3]=>[3,7,5,4,2,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,5,1,3,4]=>[7,6,2,5,1,4,3]=>[3,7,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,5,1,4,3]=>[7,6,2,5,1,4,3]=>[3,7,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,5,3,1,4]=>[7,6,2,5,4,1,3]=>[3,7,5,4,2,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,2,5,4,1,3]=>[7,6,2,5,4,1,3]=>[3,7,5,4,2,1,6]=>([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,3,1,2,4,5]=>[7,6,3,1,5,4,2]=>[7,3,6,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,1,2,5,4]=>[7,6,3,1,5,4,2]=>[7,3,6,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,1,4,2,5]=>[7,6,3,1,5,4,2]=>[7,3,6,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,1,4,5,2]=>[7,6,3,1,5,4,2]=>[7,3,6,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,1,5,2,4]=>[7,6,3,1,5,4,2]=>[7,3,6,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,1,5,4,2]=>[7,6,3,1,5,4,2]=>[7,3,6,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,2,1,4,5]=>[7,6,3,2,1,5,4]=>[4,3,7,6,2,1,5]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,3,2,1,5,4]=>[7,6,3,2,1,5,4]=>[4,3,7,6,2,1,5]=>([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,3,2,4,1,5]=>[7,6,3,2,5,1,4]=>[4,3,7,5,2,1,6]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,3,2,5,1,4]=>[7,6,3,2,5,1,4]=>[4,3,7,5,2,1,6]=>([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,3,4,1,2,5]=>[7,6,3,5,1,4,2]=>[7,3,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,4,1,5,2]=>[7,6,3,5,1,4,2]=>[7,3,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,4,2,1,5]=>[7,6,3,5,2,1,4]=>[5,3,7,4,2,1,6]=>([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,3,4,5,1,2]=>[7,6,3,5,4,1,2]=>[7,3,5,4,2,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,5,1,2,4]=>[7,6,3,5,1,4,2]=>[7,3,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>[7,3,6,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,3,5,2,1,4]=>[7,6,3,5,2,1,4]=>[5,3,7,4,2,1,6]=>([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,3,5,4,1,2]=>[7,6,3,5,4,1,2]=>[7,3,5,4,2,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,1,2,3,5]=>[7,6,4,1,5,3,2]=>[7,6,3,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,1,2,5,3]=>[7,6,4,1,5,3,2]=>[7,6,3,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,1,3,2,5]=>[7,6,4,1,5,3,2]=>[7,6,3,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,1,3,5,2]=>[7,6,4,1,5,3,2]=>[7,6,3,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,1,5,2,3]=>[7,6,4,1,5,3,2]=>[7,6,3,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,1,5,3,2]=>[7,6,4,1,5,3,2]=>[7,6,3,5,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,2,1,3,5]=>[7,6,4,2,1,5,3]=>[4,7,3,6,2,1,5]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,4,2,1,5,3]=>[7,6,4,2,1,5,3]=>[4,7,3,6,2,1,5]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,4,2,3,1,5]=>[7,6,4,2,5,1,3]=>[4,7,3,5,2,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,4,2,5,1,3]=>[7,6,4,2,5,1,3]=>[4,7,3,5,2,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,4,3,1,2,5]=>[7,6,4,3,1,5,2]=>[7,4,3,6,2,1,5]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,3,1,5,2]=>[7,6,4,3,1,5,2]=>[7,4,3,6,2,1,5]=>([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[5,4,3,7,2,1,6]=>([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,4,3,5,1,2]=>[7,6,4,3,5,1,2]=>[7,4,3,5,2,1,6]=>([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,5,1,2,3]=>[7,6,4,5,1,3,2]=>[7,6,3,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,5,1,3,2]=>[7,6,4,5,1,3,2]=>[7,6,3,4,2,1,5]=>([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,4,5,2,1,3]=>[7,6,4,5,2,1,3]=>[5,7,3,4,2,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[7,5,3,4,2,1,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,1,2,3,4]=>[7,6,5,1,4,3,2]=>[7,6,5,3,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,1,2,4,3]=>[7,6,5,1,4,3,2]=>[7,6,5,3,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,1,3,2,4]=>[7,6,5,1,4,3,2]=>[7,6,5,3,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,1,3,4,2]=>[7,6,5,1,4,3,2]=>[7,6,5,3,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,1,4,2,3]=>[7,6,5,1,4,3,2]=>[7,6,5,3,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[7,6,5,3,2,1,4]=>([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,2,1,3,4]=>[7,6,5,2,1,4,3]=>[4,7,6,3,2,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[4,7,6,3,2,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,5,2,3,1,4]=>[7,6,5,2,4,1,3]=>[4,7,5,3,2,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[4,7,5,3,2,1,6]=>([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,5,3,1,2,4]=>[7,6,5,3,1,4,2]=>[7,4,6,3,2,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>[7,4,6,3,2,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[5,4,7,3,2,1,6]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[7,4,5,3,2,1,6]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,4,1,2,3]=>[7,6,5,4,1,3,2]=>[7,6,4,3,2,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[7,6,4,3,2,1,5]=>([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[5,7,4,3,2,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[7,5,4,3,2,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>2
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Description
The diameter of a connected graph.
This is the greatest distance between any pair of vertices.
This is the greatest distance between any pair of vertices.
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
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
Inverse Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $c\pi^{-1}$ where $c = (1,\ldots,n)$ is the long cycle.
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