Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00087: Permutations —inverse first fundamental transformation⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
St000454: Graphs ⟶ ℤ
Values
=>
Cc0020;cc-rep
[1]=>[1]=>[1]=>([],1)=>0
[1,2]=>[1,2]=>[1,2]=>([],2)=>0
[2,1]=>[1,2]=>[1,2]=>([],2)=>0
[1,2,3]=>[1,2,3]=>[1,2,3]=>([],3)=>0
[1,3,2]=>[1,2,3]=>[1,2,3]=>([],3)=>0
[2,1,3]=>[1,2,3]=>[1,2,3]=>([],3)=>0
[2,3,1]=>[1,2,3]=>[1,2,3]=>([],3)=>0
[3,1,2]=>[1,3,2]=>[1,3,2]=>([(1,2)],3)=>1
[3,2,1]=>[1,3,2]=>[1,3,2]=>([(1,2)],3)=>1
[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>([],4)=>0
[1,2,4,3]=>[1,2,3,4]=>[1,2,3,4]=>([],4)=>0
[1,3,2,4]=>[1,2,3,4]=>[1,2,3,4]=>([],4)=>0
[1,3,4,2]=>[1,2,3,4]=>[1,2,3,4]=>([],4)=>0
[1,4,2,3]=>[1,2,4,3]=>[1,2,4,3]=>([(2,3)],4)=>1
[1,4,3,2]=>[1,2,4,3]=>[1,2,4,3]=>([(2,3)],4)=>1
[2,1,3,4]=>[1,2,3,4]=>[1,2,3,4]=>([],4)=>0
[2,1,4,3]=>[1,2,3,4]=>[1,2,3,4]=>([],4)=>0
[2,3,1,4]=>[1,2,3,4]=>[1,2,3,4]=>([],4)=>0
[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]=>([],4)=>0
[2,4,1,3]=>[1,2,4,3]=>[1,2,4,3]=>([(2,3)],4)=>1
[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3]=>([(2,3)],4)=>1
[3,1,2,4]=>[1,3,2,4]=>[1,3,2,4]=>([(2,3)],4)=>1
[3,2,1,4]=>[1,3,2,4]=>[1,3,2,4]=>([(2,3)],4)=>1
[3,4,1,2]=>[1,3,2,4]=>[1,3,2,4]=>([(2,3)],4)=>1
[3,4,2,1]=>[1,3,2,4]=>[1,3,2,4]=>([(2,3)],4)=>1
[4,1,3,2]=>[1,4,2,3]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>2
[4,2,3,1]=>[1,4,2,3]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>2
[4,3,1,2]=>[1,4,2,3]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>2
[4,3,2,1]=>[1,4,2,3]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>2
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[1,2,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[1,2,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[1,3,2,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[1,3,5,2,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[1,3,5,4,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[1,4,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[1,4,3,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[1,4,5,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[1,4,5,3,2]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[1,5,2,4,3]=>[1,2,5,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>2
[1,5,3,4,2]=>[1,2,5,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>2
[1,5,4,2,3]=>[1,2,5,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>2
[1,5,4,3,2]=>[1,2,5,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>2
[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[2,1,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[2,1,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[2,1,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[2,1,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[2,1,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[2,3,1,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)=>0
[2,3,5,1,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[2,4,1,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,4,3,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,4,5,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,4,5,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,5,1,4,3]=>[1,2,5,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>2
[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>2
[2,5,4,1,3]=>[1,2,5,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>2
[2,5,4,3,1]=>[1,2,5,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>2
[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,1,2,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,1,5,2,4]=>[1,3,5,4,2]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>2
[3,2,1,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,2,1,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,2,5,1,4]=>[1,3,5,4,2]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>2
[3,4,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,4,1,5,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,4,2,1,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,4,2,5,1]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>1
[3,5,1,4,2]=>[1,3,2,5,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>1
[3,5,2,1,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>1
[3,5,2,4,1]=>[1,3,2,5,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>1
[4,1,3,2,5]=>[1,4,2,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>2
[4,1,5,2,3]=>[1,4,2,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>2
[4,2,3,1,5]=>[1,4,2,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>2
[4,2,5,1,3]=>[1,4,2,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>2
[4,3,1,2,5]=>[1,4,2,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>2
[4,3,2,1,5]=>[1,4,2,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>2
[4,3,5,1,2]=>[1,4,2,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>2
[4,3,5,2,1]=>[1,4,2,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>2
[5,1,3,4,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,1,4,3,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,2,3,4,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,2,4,3,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,3,1,4,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,3,2,4,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,3,4,1,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,3,4,2,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>2
[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>2
[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)=>0
[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>2
[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>2
[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>2
[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>2
[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2
[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>2
[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2
[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>2
[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>2
[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>2
[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>2
[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>2
[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[1,3,4,5,6,2]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2
[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[1,3,4,5,6,2]=>([(1,5),(2,5),(3,5),(4,5)],6)=>2
[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>[1,4,5,6,3,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>[1,4,5,6,3,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>[1,4,5,6,3,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>[1,4,5,6,3,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,2,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,2,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,2,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,2,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,2,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,2,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,2,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,2,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,2,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,2,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,2,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,2,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,2,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,2,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,2,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,2,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,2,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,2,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,2,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[1,2,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,2,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,2,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[1,2,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,2,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,2,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,2,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,2,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[1,2,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[1,2,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[1,2,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[1,2,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,2,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,2,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,2,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,2,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,2,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,2,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,2,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,2,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,3,2,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,2,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,2,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,2,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,2,4,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,3,2,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,3,2,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,2,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,2,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,2,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,2,5,7,4,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,3,2,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,3,2,6,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,3,2,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,3,2,6,7,4,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,3,2,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,3,2,7,4,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,2,7,5,6,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,2,7,6,4,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,2,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,4,2,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,4,2,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,4,2,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,4,2,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,4,2,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,3,4,2,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,3,4,5,2,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,4,5,2,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,4,5,6,2,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,4,5,6,7,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[1,3,4,5,7,2,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,3,4,5,7,6,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[1,3,4,6,2,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,3,4,6,5,2,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,3,4,6,7,2,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,3,4,6,7,5,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[1,3,4,7,2,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,4,7,5,6,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,4,7,6,2,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,4,7,6,5,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,5,2,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,3,5,2,4,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,3,5,2,7,4,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[1,3,5,4,2,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,3,5,4,2,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,3,5,4,7,2,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[1,3,5,6,2,4,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,3,5,6,2,7,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,3,5,6,4,2,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,3,5,6,4,7,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[1,3,5,7,2,4,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[1,3,5,7,2,6,4]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[1,3,5,7,4,2,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[1,3,5,7,4,6,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[1,3,6,2,5,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,6,2,7,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,6,4,5,2,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,6,4,7,2,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,6,5,2,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,6,5,4,2,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,6,5,7,2,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,6,5,7,4,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,3,7,2,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,3,7,2,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,3,7,4,5,6,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,3,7,4,6,5,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,3,7,5,2,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,3,7,5,4,6,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,3,7,5,6,2,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,3,7,5,6,4,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,4,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,2,3,5,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,2,3,6,5,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,2,3,6,7,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,2,3,7,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[1,4,2,3,7,6,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[1,4,2,5,6,7,3]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[1,4,2,5,7,6,3]=>[1,2,4,5,7,3,6]=>[1,2,7,6,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,4,2,6,3,5,7]=>[1,2,4,6,5,3,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[1,4,3,2,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,3,2,5,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,3,2,6,5,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,3,2,6,7,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,3,2,7,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[1,4,3,2,7,6,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[1,4,3,5,6,7,2]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[1,4,3,5,7,6,2]=>[1,2,4,5,7,3,6]=>[1,2,7,6,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,4,3,6,2,5,7]=>[1,2,4,6,5,3,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[1,4,5,2,3,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,5,2,3,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,5,2,6,3,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,5,2,6,7,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,5,2,7,3,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[1,4,5,2,7,6,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[1,4,5,3,2,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,5,3,2,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,5,3,6,2,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,5,3,6,7,2]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[1,4,5,3,7,2,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[1,4,5,3,7,6,2]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[1,4,6,2,3,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[1,4,6,2,5,3,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[1,4,6,2,7,3,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[1,4,6,2,7,5,3]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[1,4,6,3,2,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[1,4,6,3,5,2,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[1,4,6,3,7,2,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[1,4,6,3,7,5,2]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[1,4,6,5,7,2,3]=>[1,2,4,5,7,3,6]=>[1,2,7,6,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,4,6,5,7,3,2]=>[1,2,4,5,7,3,6]=>[1,2,7,6,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,4,7,2,3,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,4,7,2,5,6,3]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,4,7,2,6,3,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,4,7,2,6,5,3]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,4,7,3,2,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,4,7,3,5,6,2]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,4,7,3,6,2,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,4,7,3,6,5,2]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,4,7,6,2,5,3]=>[1,2,4,6,5,3,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[1,4,7,6,3,5,2]=>[1,2,4,6,5,3,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[1,5,2,4,3,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,2,4,3,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,2,6,3,4,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,2,6,3,7,4]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,2,7,3,4,6]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,5,2,7,3,6,4]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,5,3,4,2,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,3,4,2,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,3,6,2,4,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,3,6,2,7,4]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,3,7,2,4,6]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,5,3,7,2,6,4]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,5,4,2,3,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,4,2,3,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,4,3,2,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,4,3,2,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,4,6,2,3,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,4,6,2,7,3]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,4,6,3,2,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,4,6,3,7,2]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[1,5,4,7,2,3,6]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,5,4,7,2,6,3]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,5,4,7,3,2,6]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,5,4,7,3,6,2]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[1,6,2,4,5,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,2,4,7,3,5]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,2,5,4,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,2,5,7,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,3,4,5,2,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,3,4,7,2,5]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,3,5,4,2,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,3,5,7,2,4]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,4,2,5,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,4,2,7,3,5]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,4,3,5,2,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,4,3,7,2,5]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,4,5,2,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,4,5,3,2,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,4,5,7,2,3]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,6,4,5,7,3,2]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,7,2,4,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,2,4,6,3,5]=>[1,2,7,5,6,3,4]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,7,2,4,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,2,5,4,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,2,5,6,3,4]=>[1,2,7,4,5,6,3]=>[1,2,4,5,6,7,3]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[1,7,2,5,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,3,4,5,6,2]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,3,4,6,2,5]=>[1,2,7,5,6,3,4]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,7,3,4,6,5,2]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,3,5,4,6,2]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,3,5,6,2,4]=>[1,2,7,4,5,6,3]=>[1,2,4,5,6,7,3]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[1,7,3,5,6,4,2]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,4,2,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,4,2,6,3,5]=>[1,2,7,5,6,3,4]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,7,4,2,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,4,3,5,6,2]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,4,3,6,2,5]=>[1,2,7,5,6,3,4]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,7,4,3,6,5,2]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,4,5,2,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,4,5,3,6,2]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,4,5,6,2,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,4,5,6,3,2]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[1,7,5,2,6,4,3]=>[1,2,7,3,5,6,4]=>[1,2,5,6,7,4,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,7,5,3,6,4,2]=>[1,2,7,3,5,6,4]=>[1,2,5,6,7,4,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,7,5,4,6,2,3]=>[1,2,7,3,5,6,4]=>[1,2,5,6,7,4,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[1,7,5,4,6,3,2]=>[1,2,7,3,5,6,4]=>[1,2,5,6,7,4,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,1,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,1,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,1,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,1,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,1,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,1,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,1,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,1,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,1,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,1,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,1,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,1,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,1,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,1,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,1,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,1,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,1,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,1,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,1,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,1,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[2,1,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,1,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,1,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[2,1,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,1,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,1,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,1,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,1,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[2,1,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[2,1,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[2,1,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[2,1,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,1,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,1,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,1,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,1,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,1,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,1,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,1,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,1,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,1,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,1,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,1,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,1,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,1,4,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,3,1,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,3,1,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,1,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,1,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,1,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,1,5,7,4,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,3,1,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,3,1,6,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,3,1,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,3,1,6,7,4,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,3,1,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,3,1,7,4,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,1,7,5,6,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,1,7,6,4,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,1,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,4,1,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,4,1,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,4,1,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,4,1,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,4,1,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,3,4,1,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,3,4,5,1,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,4,5,1,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,4,5,6,1,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)=>0
[2,3,4,5,7,1,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)=>1
[2,3,4,6,1,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,3,4,6,5,1,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,3,4,6,7,1,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,3,4,6,7,5,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)=>1
[2,3,4,7,1,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,4,7,6,1,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,5,1,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,3,5,1,4,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,3,5,1,7,4,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[2,3,5,4,1,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,3,5,4,1,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,3,5,4,7,1,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[2,3,5,6,1,4,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,3,5,6,1,7,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,3,5,6,4,1,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,3,5,6,4,7,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)=>1
[2,3,5,7,1,4,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[2,3,5,7,1,6,4]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[2,3,5,7,4,1,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[2,3,5,7,4,6,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)=>1
[2,3,6,1,5,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,6,1,7,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,6,4,5,1,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,6,4,7,1,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,6,5,1,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,6,5,4,1,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,6,5,7,1,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,3,7,1,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,7,1,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,7,4,6,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,7,5,1,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,7,5,4,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,7,5,6,1,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,4,1,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,1,3,5,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,1,3,6,5,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,1,3,6,7,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,1,3,7,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[2,4,1,3,7,6,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[2,4,1,5,6,7,3]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[2,4,1,5,7,6,3]=>[1,2,4,5,7,3,6]=>[1,2,7,6,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,4,1,6,3,5,7]=>[1,2,4,6,5,3,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[2,4,3,1,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,3,1,5,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,3,1,6,5,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,3,1,6,7,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,3,1,7,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[2,4,3,1,7,6,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[2,4,3,5,6,7,1]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[2,4,3,5,7,6,1]=>[1,2,4,5,7,3,6]=>[1,2,7,6,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,4,3,6,1,5,7]=>[1,2,4,6,5,3,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[2,4,5,1,3,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,5,1,3,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,5,1,6,3,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,5,1,6,7,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,5,1,7,3,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[2,4,5,1,7,6,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[2,4,5,3,1,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,5,3,1,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,5,3,6,1,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,5,3,6,7,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)=>1
[2,4,5,3,7,1,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[2,4,5,3,7,6,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)=>1
[2,4,6,1,3,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[2,4,6,1,5,3,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[2,4,6,1,7,3,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[2,4,6,1,7,5,3]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[2,4,6,3,1,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[2,4,6,3,5,1,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[2,4,6,3,7,1,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[2,4,6,3,7,5,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)=>1
[2,4,6,5,7,1,3]=>[1,2,4,5,7,3,6]=>[1,2,7,6,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,4,6,5,7,3,1]=>[1,2,4,5,7,3,6]=>[1,2,7,6,3,4,5]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,4,7,1,3,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,4,7,1,5,6,3]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,4,7,1,6,3,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,4,7,1,6,5,3]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,4,7,3,1,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,4,7,3,5,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,4,7,3,6,1,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,4,7,3,6,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,4,7,6,1,5,3]=>[1,2,4,6,5,3,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[2,4,7,6,3,5,1]=>[1,2,4,6,5,3,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[2,5,1,4,3,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,1,4,3,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,1,6,3,4,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,1,6,3,7,4]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,1,7,3,4,6]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,5,1,7,3,6,4]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,5,3,4,1,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,3,4,1,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,3,6,1,4,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,3,6,1,7,4]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,3,7,1,4,6]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,5,3,7,1,6,4]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,5,4,1,3,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,4,1,3,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,4,3,1,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,4,3,1,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,4,6,1,3,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,4,6,1,7,3]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,4,6,3,1,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,4,6,3,7,1]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[2,5,4,7,1,3,6]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,5,4,7,1,6,3]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,5,4,7,3,1,6]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,5,4,7,3,6,1]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[2,6,1,4,5,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,1,4,7,3,5]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,1,5,4,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,1,5,7,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,3,4,5,1,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,3,4,7,1,5]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,3,5,4,1,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,3,5,7,1,4]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,4,1,5,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,4,1,7,3,5]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,4,3,5,1,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,4,3,7,1,5]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,4,5,1,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,4,5,3,1,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,4,5,7,1,3]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,7,1,4,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,1,4,6,3,5]=>[1,2,7,5,6,3,4]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,7,1,4,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,1,5,4,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,1,5,6,3,4]=>[1,2,7,4,5,6,3]=>[1,2,4,5,6,7,3]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[2,7,1,5,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,3,4,6,1,5]=>[1,2,7,5,6,3,4]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,7,3,4,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,3,5,4,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,3,5,6,1,4]=>[1,2,7,4,5,6,3]=>[1,2,4,5,6,7,3]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[2,7,3,5,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,4,1,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,4,1,6,3,5]=>[1,2,7,5,6,3,4]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,7,4,1,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,4,3,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,4,3,6,1,5]=>[1,2,7,5,6,3,4]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,7,4,3,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,4,5,1,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,4,5,3,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,4,5,6,1,3]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[2,7,5,1,6,4,3]=>[1,2,7,3,5,6,4]=>[1,2,5,6,7,4,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,7,5,3,6,4,1]=>[1,2,7,3,5,6,4]=>[1,2,5,6,7,4,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,7,5,4,6,1,3]=>[1,2,7,3,5,6,4]=>[1,2,5,6,7,4,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[2,7,5,4,6,3,1]=>[1,2,7,3,5,6,4]=>[1,2,5,6,7,4,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,1,2,4,5,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,1,2,4,6,5,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,1,2,4,6,7,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,1,2,4,7,5,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,1,2,4,7,6,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,1,2,5,4,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,1,2,5,4,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,1,2,5,6,4,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,1,2,5,6,7,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,1,2,5,7,4,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,1,2,5,7,6,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,1,2,6,4,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,1,2,6,5,4,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,1,2,6,7,4,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,1,2,6,7,5,4]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,1,2,7,4,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,7,5,6,4]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,7,6,4,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,1,2,7,6,5,4]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,1,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[3,1,4,6,5,2,7]=>[1,3,4,6,2,5,7]=>[1,6,5,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,1,4,6,7,2,5]=>[1,3,4,6,2,5,7]=>[1,6,5,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,1,4,7,6,2,5]=>[1,3,4,7,5,6,2]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3
[3,1,5,2,4,6,7]=>[1,3,5,4,2,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,1,5,2,4,7,6]=>[1,3,5,4,2,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,2,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,2,1,4,5,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,2,1,4,6,5,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,2,1,4,6,7,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,2,1,4,7,5,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,2,1,4,7,6,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,2,1,5,4,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,2,1,5,4,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,2,1,5,6,4,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,2,1,5,6,7,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,2,1,5,7,4,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,2,1,5,7,6,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,2,1,6,4,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,2,1,6,5,4,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,2,1,6,7,4,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,2,1,6,7,5,4]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,2,1,7,4,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,2,1,7,5,6,4]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,2,1,7,6,4,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,2,1,7,6,5,4]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,2,4,5,6,1,7]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[3,2,4,6,5,1,7]=>[1,3,4,6,2,5,7]=>[1,6,5,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,2,4,6,7,1,5]=>[1,3,4,6,2,5,7]=>[1,6,5,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,2,4,7,6,1,5]=>[1,3,4,7,5,6,2]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3
[3,2,5,1,4,6,7]=>[1,3,5,4,2,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,2,5,1,4,7,6]=>[1,3,5,4,2,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,4,1,2,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,1,2,5,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,1,2,6,5,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,1,2,6,7,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,1,2,7,5,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,4,1,2,7,6,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,4,1,5,2,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,1,5,2,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,1,5,6,2,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,1,5,6,7,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,1,5,7,2,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,4,1,5,7,6,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,4,1,6,2,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,4,1,6,5,2,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,4,1,6,7,2,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,4,1,6,7,5,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,4,1,7,2,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,4,1,7,5,6,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,4,1,7,6,2,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,4,1,7,6,5,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,4,2,1,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,2,1,5,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,2,1,6,5,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,2,1,6,7,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,2,1,7,5,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,4,2,1,7,6,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,4,2,5,1,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,2,5,1,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,2,5,6,1,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,2,5,6,7,1]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)=>1
[3,4,2,5,7,1,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,4,2,5,7,6,1]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)=>1
[3,4,2,6,1,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,4,2,6,5,1,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,4,2,6,7,1,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,4,2,6,7,5,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)=>1
[3,4,2,7,1,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,4,2,7,5,6,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,4,2,7,6,1,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,4,2,7,6,5,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,1,2,4,7,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,1,2,7,4,6]=>[1,3,2,5,7,6,4]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,5,1,4,2,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,1,4,2,7,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,1,4,7,2,6]=>[1,3,2,5,7,6,4]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,5,1,6,2,4,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,1,6,2,7,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,1,6,4,2,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,1,6,4,7,2]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,1,7,2,4,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>1
[3,5,1,7,2,6,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>1
[3,5,1,7,4,2,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>1
[3,5,1,7,4,6,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>1
[3,5,2,1,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,2,1,4,7,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,2,1,7,4,6]=>[1,3,2,5,7,6,4]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,5,2,4,1,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,2,4,1,7,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,2,4,7,1,6]=>[1,3,2,5,7,6,4]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,5,2,6,1,4,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,2,6,1,7,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,2,6,4,1,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,2,6,4,7,1]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)=>1
[3,5,2,7,1,4,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>1
[3,5,2,7,1,6,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>1
[3,5,2,7,4,1,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>1
[3,5,2,7,4,6,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)=>1
[3,5,4,6,1,2,7]=>[1,3,4,6,2,5,7]=>[1,6,5,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,5,4,6,2,1,7]=>[1,3,4,6,2,5,7]=>[1,6,5,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,5,4,6,7,1,2]=>[1,3,4,6,2,5,7]=>[1,6,5,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,5,4,6,7,2,1]=>[1,3,4,6,2,5,7]=>[1,6,5,2,3,4,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,6,1,2,5,4,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,1,2,7,4,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,1,4,5,2,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,1,4,7,2,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,1,5,2,4,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,1,5,4,2,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,1,5,7,2,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,1,5,7,4,2]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,2,1,5,4,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,2,1,7,4,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,2,4,5,1,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,2,4,7,1,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,2,5,1,4,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,2,5,4,1,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,2,5,7,1,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,2,5,7,4,1]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[3,6,5,1,4,2,7]=>[1,3,5,4,2,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,6,5,1,4,7,2]=>[1,3,5,4,2,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,6,5,1,7,4,2]=>[1,3,5,7,2,6,4]=>[1,5,2,3,6,7,4]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[3,6,5,2,4,1,7]=>[1,3,5,4,2,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,6,5,2,4,7,1]=>[1,3,5,4,2,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,6,5,2,7,4,1]=>[1,3,5,7,2,6,4]=>[1,5,2,3,6,7,4]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[3,6,5,4,7,1,2]=>[1,3,5,7,2,6,4]=>[1,5,2,3,6,7,4]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[3,6,5,4,7,2,1]=>[1,3,5,7,2,6,4]=>[1,5,2,3,6,7,4]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[3,6,7,1,2,4,5]=>[1,3,7,5,2,6,4]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,6,7,2,1,4,5]=>[1,3,7,5,2,6,4]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,6,7,4,1,2,5]=>[1,3,7,5,2,6,4]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,6,7,4,2,1,5]=>[1,3,7,5,2,6,4]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,7,1,2,5,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,1,2,6,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,1,4,5,6,2]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,1,4,6,5,2]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,1,5,2,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,1,5,4,6,2]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,1,5,6,2,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,1,5,6,4,2]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,2,1,5,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,2,1,6,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,2,4,5,6,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,2,4,6,5,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,2,5,1,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,2,5,4,6,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,2,5,6,1,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,2,5,6,4,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[3,7,4,1,2,6,5]=>[1,3,4,2,7,5,6]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[3,7,4,1,5,6,2]=>[1,3,4,2,7,5,6]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[3,7,4,1,6,2,5]=>[1,3,4,2,7,5,6]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[3,7,4,1,6,5,2]=>[1,3,4,2,7,5,6]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[3,7,4,2,1,6,5]=>[1,3,4,2,7,5,6]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[3,7,4,2,5,6,1]=>[1,3,4,2,7,5,6]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[3,7,4,2,6,1,5]=>[1,3,4,2,7,5,6]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[3,7,4,2,6,5,1]=>[1,3,4,2,7,5,6]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[3,7,4,5,6,1,2]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[3,7,4,5,6,2,1]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[3,7,5,1,4,2,6]=>[1,3,5,4,2,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,7,5,1,4,6,2]=>[1,3,5,4,2,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,7,5,2,4,1,6]=>[1,3,5,4,2,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,7,5,2,4,6,1]=>[1,3,5,4,2,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)=>2
[4,1,3,2,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,5,7,6]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,6,5,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,6,7,5]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,7,5,6]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,1,3,2,7,6,5]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,3,6,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,3,7,6]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,6,3,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,6,7,3]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,7,3,6]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,1,5,2,7,6,3]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,2,3,5,7]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,2,3,7,5]=>[1,4,2,3,6,7,5]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,1,6,2,5,3,7]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,2,5,7,3]=>[1,4,2,3,6,7,5]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,1,6,2,7,3,5]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,1,6,2,7,5,3]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,1,7,2,3,5,6]=>[1,4,2,3,7,6,5]=>[1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,1,7,2,3,6,5]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,1,7,2,5,3,6]=>[1,4,2,3,7,6,5]=>[1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,1,7,2,5,6,3]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,1,7,2,6,3,5]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,1,7,2,6,5,3]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,2,3,1,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,2,3,1,5,7,6]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,2,3,1,6,5,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,2,3,1,6,7,5]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,2,3,1,7,5,6]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,2,3,1,7,6,5]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,2,5,1,3,6,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,2,5,1,3,7,6]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,2,5,1,6,3,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,2,5,1,6,7,3]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,2,5,1,7,3,6]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,2,5,1,7,6,3]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,2,6,1,3,5,7]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,2,6,1,3,7,5]=>[1,4,2,3,6,7,5]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,2,6,1,5,3,7]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,2,6,1,5,7,3]=>[1,4,2,3,6,7,5]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,2,6,1,7,3,5]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,2,6,1,7,5,3]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,2,7,1,3,5,6]=>[1,4,2,3,7,6,5]=>[1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,2,7,1,3,6,5]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,2,7,1,5,3,6]=>[1,4,2,3,7,6,5]=>[1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,2,7,1,5,6,3]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,2,7,1,6,3,5]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,2,7,1,6,5,3]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,3,1,2,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,1,2,5,7,6]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,1,2,6,5,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,1,2,6,7,5]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,1,2,7,5,6]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,1,2,7,6,5]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,2,1,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,2,1,5,7,6]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,2,1,6,5,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,2,1,6,7,5]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,2,1,7,5,6]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,2,1,7,6,5]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,2,6,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,2,7,6]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,6,2,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,6,7,2]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,7,2,6]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,1,7,6,2]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,2,1,6,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,5,2,1,7,6]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,5,2,6,1,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,5,2,6,7,1]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)=>2
[4,3,5,2,7,1,6]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,5,2,7,6,1]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,1,2,5,7]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,1,2,7,5]=>[1,4,2,3,6,7,5]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,3,6,1,5,2,7]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,1,5,7,2]=>[1,4,2,3,6,7,5]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,3,6,1,7,2,5]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,1,7,5,2]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,2,1,5,7]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,2,1,7,5]=>[1,4,2,3,6,7,5]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,3,6,2,5,1,7]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,2,5,7,1]=>[1,4,2,3,6,7,5]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,3,6,2,7,1,5]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,6,2,7,5,1]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)=>2
[4,3,7,1,2,5,6]=>[1,4,2,3,7,6,5]=>[1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,3,7,1,2,6,5]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,3,7,1,5,2,6]=>[1,4,2,3,7,6,5]=>[1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,3,7,1,5,6,2]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,3,7,1,6,2,5]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,3,7,1,6,5,2]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,3,7,2,1,5,6]=>[1,4,2,3,7,6,5]=>[1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,3,7,2,1,6,5]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,3,7,2,5,1,6]=>[1,4,2,3,7,6,5]=>[1,4,3,2,6,7,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,3,7,2,5,6,1]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,3,7,2,6,1,5]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,3,7,2,6,5,1]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)=>2
[4,7,1,3,2,6,5]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,7,1,3,5,6,2]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,7,1,3,6,2,5]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,7,1,3,6,5,2]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,7,2,3,1,6,5]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,7,2,3,5,6,1]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,7,2,3,6,1,5]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[4,7,2,3,6,5,1]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)=>2
[5,1,3,4,2,6,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,3,4,2,7,6]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,3,6,2,4,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,3,6,2,7,4]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,3,7,2,4,6]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,3,7,2,6,4]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,4,3,2,6,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,4,3,2,7,6]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,4,6,2,3,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,4,6,2,7,3]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,4,6,3,7,2]=>[1,5,3,4,6,7,2]=>[1,3,4,7,2,5,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[5,1,4,7,2,3,6]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,1,4,7,2,6,3]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,4,1,6,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,4,1,7,6]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,6,1,4,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,6,1,7,4]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,7,1,4,6]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,3,7,1,6,4]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,3,1,6,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,3,1,7,6]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,6,1,3,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,6,1,7,3]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,6,3,7,1]=>[1,5,3,4,6,7,2]=>[1,3,4,7,2,5,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2
[5,2,4,7,1,3,6]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,2,4,7,1,6,3]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,1,4,2,6,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,1,4,2,7,6]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,1,6,2,4,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,1,6,2,7,4]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,1,7,2,4,6]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,1,7,2,6,4]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,2,4,1,6,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,2,4,1,7,6]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,2,6,1,4,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,2,6,1,7,4]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,2,7,1,4,6]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,2,7,1,6,4]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,1,2,6,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,1,2,7,6]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,2,1,6,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,2,1,7,6]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,6,1,2,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,6,1,7,2]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,6,2,1,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,6,2,7,1]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,7,1,2,6]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,7,1,6,2]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,7,2,1,6]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[5,3,4,7,2,6,1]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,3,4,5,2,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,1,3,4,7,2,5]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,1,3,5,2,4,7]=>[1,6,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,1,3,5,4,2,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,1,3,5,7,2,4]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,1,4,3,5,2,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,1,4,3,7,2,5]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,1,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>[1,3,4,5,6,2,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[6,1,4,5,3,2,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,1,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,1,7,5,2,4,3]=>[1,6,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,4,5,1,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,3,4,7,1,5]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,3,5,1,4,7]=>[1,6,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,2,3,5,4,1,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,3,5,7,1,4]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,4,3,5,1,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,4,3,7,1,5]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,4,5,1,3,7]=>[1,6,3,4,5,2,7]=>[1,3,4,5,6,2,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[6,2,4,5,3,1,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,4,5,7,1,3]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,2,7,5,1,4,3]=>[1,6,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,1,4,5,2,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,1,4,7,2,5]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,1,5,2,4,7]=>[1,6,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,1,5,4,2,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,1,5,7,2,4]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,2,4,5,1,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,2,4,7,1,5]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,2,5,1,4,7]=>[1,6,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,2,5,4,1,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,2,5,7,1,4]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,4,1,5,2,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,4,1,7,2,5]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,4,2,5,1,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,4,2,7,1,5]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,4,5,1,2,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,4,5,2,1,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,4,5,7,1,2]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,4,5,7,2,1]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>4
[6,3,7,5,1,4,2]=>[1,6,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,3,7,5,2,4,1]=>[1,6,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,1,5,3,2,7]=>[1,6,2,4,5,3,7]=>[1,4,5,6,3,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,2,5,3,1,7]=>[1,6,2,4,5,3,7]=>[1,4,5,6,3,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,3,5,1,2,7]=>[1,6,2,4,5,3,7]=>[1,4,5,6,3,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,3,5,2,1,7]=>[1,6,2,4,5,3,7]=>[1,4,5,6,3,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,7,5,1,2,3]=>[1,6,2,4,5,3,7]=>[1,4,5,6,3,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,7,5,2,1,3]=>[1,6,2,4,5,3,7]=>[1,4,5,6,3,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,7,5,3,1,2]=>[1,6,2,4,5,3,7]=>[1,4,5,6,3,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,4,7,5,3,2,1]=>[1,6,2,4,5,3,7]=>[1,4,5,6,3,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>3
[6,7,4,5,1,3,2]=>[1,6,3,4,5,2,7]=>[1,3,4,5,6,2,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[6,7,4,5,2,3,1]=>[1,6,3,4,5,2,7]=>[1,3,4,5,6,2,7]=>([(2,6),(3,6),(4,6),(5,6)],7)=>2
[7,1,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,1,3,4,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,1,3,5,4,6,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,1,3,5,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,1,4,3,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,1,4,3,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,1,4,5,3,6,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,1,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,2,3,4,5,6,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,2,3,4,6,5,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,2,3,5,4,6,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,2,3,5,6,4,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,2,4,3,5,6,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,2,4,3,6,5,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,2,4,5,3,6,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,2,4,5,6,3,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,1,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,1,4,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,1,5,4,6,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,1,5,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,2,4,5,6,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,2,4,6,5,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,2,5,4,6,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,2,5,6,4,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,4,1,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,4,1,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,4,2,5,6,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,4,2,6,5,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,4,5,1,6,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,4,5,2,6,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,4,5,6,1,2]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
[7,3,4,5,6,2,1]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)=>5
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Description
The largest eigenvalue of a graph if it is integral.
If a graph is $d$-regular, then its largest eigenvalue equals $d$. One can show that the largest eigenvalue always lies between the average degree and the maximal degree.
This statistic is undefined if the largest eigenvalue of the graph is not integral.
If a graph is $d$-regular, then its largest eigenvalue equals $d$. One can show that the largest eigenvalue always lies between the average degree and the maximal degree.
This statistic is undefined if the largest eigenvalue of the graph is not integral.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
inverse first fundamental transformation
Description
Let $\sigma = (i_{11}\cdots i_{1k_1})\cdots(i_{\ell 1}\cdots i_{\ell k_\ell})$ be a permutation given by cycle notation such that every cycle starts with its maximal entry, and all cycles are ordered increasingly by these maximal entries.
Maps $\sigma$ to the permutation $[i_{11},\ldots,i_{1k_1},\ldots,i_{\ell 1},\ldots,i_{\ell k_\ell}]$ in one-line notation.
In other words, this map sends the maximal entries of the cycles to the left-to-right maxima, and the sequences between two left-to-right maxima are given by the cycles.
Maps $\sigma$ to the permutation $[i_{11},\ldots,i_{1k_1},\ldots,i_{\ell 1},\ldots,i_{\ell k_\ell}]$ in one-line notation.
In other words, this map sends the maximal entries of the cycles to the left-to-right maxima, and the sequences between two left-to-right maxima are given by the cycles.
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.
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