Identifier
-
Mp00253:
Decorated permutations
—permutation⟶
Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
St001118: Graphs ⟶ ℤ
Values
=>
Cc0020;cc-rep
[3,1,2]=>[3,1,2]=>[1,3,2]=>([(1,2)],3)=>1
[3,+,1]=>[3,2,1]=>[1,3,2]=>([(1,2)],3)=>1
[3,-,1]=>[3,2,1]=>[1,3,2]=>([(1,2)],3)=>1
[+,4,2,3]=>[1,4,2,3]=>[1,2,4,3]=>([(2,3)],4)=>1
[-,4,2,3]=>[1,4,2,3]=>[1,2,4,3]=>([(2,3)],4)=>1
[+,4,+,2]=>[1,4,3,2]=>[1,2,4,3]=>([(2,3)],4)=>1
[-,4,+,2]=>[1,4,3,2]=>[1,2,4,3]=>([(2,3)],4)=>1
[+,4,-,2]=>[1,4,3,2]=>[1,2,4,3]=>([(2,3)],4)=>1
[-,4,-,2]=>[1,4,3,2]=>[1,2,4,3]=>([(2,3)],4)=>1
[2,4,1,3]=>[2,4,1,3]=>[1,2,4,3]=>([(2,3)],4)=>1
[2,4,+,1]=>[2,4,3,1]=>[1,2,4,3]=>([(2,3)],4)=>1
[2,4,-,1]=>[2,4,3,1]=>[1,2,4,3]=>([(2,3)],4)=>1
[3,1,2,+]=>[3,1,2,4]=>[1,3,2,4]=>([(2,3)],4)=>1
[3,1,2,-]=>[3,1,2,4]=>[1,3,2,4]=>([(2,3)],4)=>1
[3,1,4,2]=>[3,1,4,2]=>[1,3,4,2]=>([(1,3),(2,3)],4)=>2
[3,+,1,+]=>[3,2,1,4]=>[1,3,2,4]=>([(2,3)],4)=>1
[3,-,1,+]=>[3,2,1,4]=>[1,3,2,4]=>([(2,3)],4)=>1
[3,+,1,-]=>[3,2,1,4]=>[1,3,2,4]=>([(2,3)],4)=>1
[3,-,1,-]=>[3,2,1,4]=>[1,3,2,4]=>([(2,3)],4)=>1
[3,+,4,1]=>[3,2,4,1]=>[1,3,4,2]=>([(1,3),(2,3)],4)=>2
[3,-,4,1]=>[3,2,4,1]=>[1,3,4,2]=>([(1,3),(2,3)],4)=>2
[3,4,1,2]=>[3,4,1,2]=>[1,3,2,4]=>([(2,3)],4)=>1
[3,4,2,1]=>[3,4,2,1]=>[1,3,2,4]=>([(2,3)],4)=>1
[4,1,2,3]=>[4,1,2,3]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>3
[4,1,+,2]=>[4,1,3,2]=>[1,4,2,3]=>([(1,3),(2,3)],4)=>2
[4,1,-,2]=>[4,1,3,2]=>[1,4,2,3]=>([(1,3),(2,3)],4)=>2
[4,+,1,3]=>[4,2,1,3]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>3
[4,-,1,3]=>[4,2,1,3]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)=>3
[4,+,+,1]=>[4,2,3,1]=>[1,4,2,3]=>([(1,3),(2,3)],4)=>2
[4,-,+,1]=>[4,2,3,1]=>[1,4,2,3]=>([(1,3),(2,3)],4)=>2
[4,+,-,1]=>[4,2,3,1]=>[1,4,2,3]=>([(1,3),(2,3)],4)=>2
[4,-,-,1]=>[4,2,3,1]=>[1,4,2,3]=>([(1,3),(2,3)],4)=>2
[4,3,1,2]=>[4,3,1,2]=>[1,4,2,3]=>([(1,3),(2,3)],4)=>2
[4,3,2,1]=>[4,3,2,1]=>[1,4,2,3]=>([(1,3),(2,3)],4)=>2
[+,+,5,3,4]=>[1,2,5,3,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[-,+,5,3,4]=>[1,2,5,3,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[+,-,5,3,4]=>[1,2,5,3,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[-,-,5,3,4]=>[1,2,5,3,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[+,+,5,+,3]=>[1,2,5,4,3]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[-,+,5,+,3]=>[1,2,5,4,3]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[+,-,5,+,3]=>[1,2,5,4,3]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[+,+,5,-,3]=>[1,2,5,4,3]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[-,-,5,+,3]=>[1,2,5,4,3]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[-,+,5,-,3]=>[1,2,5,4,3]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[+,-,5,-,3]=>[1,2,5,4,3]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[-,-,5,-,3]=>[1,2,5,4,3]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[+,3,5,2,4]=>[1,3,5,2,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[-,3,5,2,4]=>[1,3,5,2,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[+,3,5,+,2]=>[1,3,5,4,2]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[-,3,5,+,2]=>[1,3,5,4,2]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[+,3,5,-,2]=>[1,3,5,4,2]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[-,3,5,-,2]=>[1,3,5,4,2]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[+,4,2,3,+]=>[1,4,2,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[-,4,2,3,+]=>[1,4,2,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[+,4,2,3,-]=>[1,4,2,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[-,4,2,3,-]=>[1,4,2,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[+,4,2,5,3]=>[1,4,2,5,3]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>2
[-,4,2,5,3]=>[1,4,2,5,3]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>2
[+,4,+,2,+]=>[1,4,3,2,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[-,4,+,2,+]=>[1,4,3,2,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[+,4,-,2,+]=>[1,4,3,2,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[+,4,+,2,-]=>[1,4,3,2,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[-,4,-,2,+]=>[1,4,3,2,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[-,4,+,2,-]=>[1,4,3,2,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[+,4,-,2,-]=>[1,4,3,2,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[-,4,-,2,-]=>[1,4,3,2,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[+,4,+,5,2]=>[1,4,3,5,2]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>2
[-,4,+,5,2]=>[1,4,3,5,2]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>2
[+,4,-,5,2]=>[1,4,3,5,2]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>2
[-,4,-,5,2]=>[1,4,3,5,2]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>2
[+,4,5,2,3]=>[1,4,5,2,3]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[-,4,5,2,3]=>[1,4,5,2,3]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[+,4,5,3,2]=>[1,4,5,3,2]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[-,4,5,3,2]=>[1,4,5,3,2]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[+,5,2,3,4]=>[1,5,2,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>3
[-,5,2,3,4]=>[1,5,2,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>3
[+,5,2,+,3]=>[1,5,2,4,3]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[-,5,2,+,3]=>[1,5,2,4,3]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[+,5,2,-,3]=>[1,5,2,4,3]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[-,5,2,-,3]=>[1,5,2,4,3]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[+,5,+,2,4]=>[1,5,3,2,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>3
[-,5,+,2,4]=>[1,5,3,2,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>3
[+,5,-,2,4]=>[1,5,3,2,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>3
[-,5,-,2,4]=>[1,5,3,2,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>3
[+,5,+,+,2]=>[1,5,3,4,2]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[-,5,+,+,2]=>[1,5,3,4,2]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[+,5,-,+,2]=>[1,5,3,4,2]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[+,5,+,-,2]=>[1,5,3,4,2]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[-,5,-,+,2]=>[1,5,3,4,2]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[-,5,+,-,2]=>[1,5,3,4,2]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[+,5,-,-,2]=>[1,5,3,4,2]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[-,5,-,-,2]=>[1,5,3,4,2]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[+,5,4,2,3]=>[1,5,4,2,3]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[-,5,4,2,3]=>[1,5,4,2,3]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[+,5,4,3,2]=>[1,5,4,3,2]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[-,5,4,3,2]=>[1,5,4,3,2]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[2,1,5,3,4]=>[2,1,5,3,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[2,1,5,+,3]=>[2,1,5,4,3]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[2,1,5,-,3]=>[2,1,5,4,3]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[2,3,5,1,4]=>[2,3,5,1,4]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[2,3,5,+,1]=>[2,3,5,4,1]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[2,3,5,-,1]=>[2,3,5,4,1]=>[1,2,3,5,4]=>([(3,4)],5)=>1
[2,4,1,3,+]=>[2,4,1,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,4,1,3,-]=>[2,4,1,3,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,4,1,5,3]=>[2,4,1,5,3]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>2
[2,4,+,1,+]=>[2,4,3,1,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,4,-,1,+]=>[2,4,3,1,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,4,+,1,-]=>[2,4,3,1,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,4,-,1,-]=>[2,4,3,1,5]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,4,+,5,1]=>[2,4,3,5,1]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>2
[2,4,-,5,1]=>[2,4,3,5,1]=>[1,2,4,5,3]=>([(2,4),(3,4)],5)=>2
[2,4,5,1,3]=>[2,4,5,1,3]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,4,5,3,1]=>[2,4,5,3,1]=>[1,2,4,3,5]=>([(3,4)],5)=>1
[2,5,1,3,4]=>[2,5,1,3,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>3
[2,5,1,+,3]=>[2,5,1,4,3]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[2,5,1,-,3]=>[2,5,1,4,3]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[2,5,+,1,4]=>[2,5,3,1,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>3
[2,5,-,1,4]=>[2,5,3,1,4]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)=>3
[2,5,+,+,1]=>[2,5,3,4,1]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[2,5,-,+,1]=>[2,5,3,4,1]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[2,5,+,-,1]=>[2,5,3,4,1]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[2,5,-,-,1]=>[2,5,3,4,1]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[2,5,4,1,3]=>[2,5,4,1,3]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[2,5,4,3,1]=>[2,5,4,3,1]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)=>2
[3,1,2,+,+]=>[3,1,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,1,2,-,+]=>[3,1,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,1,2,+,-]=>[3,1,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,1,2,-,-]=>[3,1,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,1,2,5,4]=>[3,1,2,5,4]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,1,4,2,+]=>[3,1,4,2,5]=>[1,3,4,2,5]=>([(2,4),(3,4)],5)=>2
[3,1,4,2,-]=>[3,1,4,2,5]=>[1,3,4,2,5]=>([(2,4),(3,4)],5)=>2
[3,1,4,5,2]=>[3,1,4,5,2]=>[1,3,4,5,2]=>([(1,4),(2,4),(3,4)],5)=>3
[3,1,5,2,4]=>[3,1,5,2,4]=>[1,3,5,4,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[3,1,5,+,2]=>[3,1,5,4,2]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>2
[3,1,5,-,2]=>[3,1,5,4,2]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>2
[3,+,1,+,+]=>[3,2,1,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,-,1,+,+]=>[3,2,1,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,+,1,-,+]=>[3,2,1,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,+,1,+,-]=>[3,2,1,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,-,1,-,+]=>[3,2,1,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,-,1,+,-]=>[3,2,1,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,+,1,-,-]=>[3,2,1,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,-,1,-,-]=>[3,2,1,4,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,+,1,5,4]=>[3,2,1,5,4]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,-,1,5,4]=>[3,2,1,5,4]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,+,4,1,+]=>[3,2,4,1,5]=>[1,3,4,2,5]=>([(2,4),(3,4)],5)=>2
[3,-,4,1,+]=>[3,2,4,1,5]=>[1,3,4,2,5]=>([(2,4),(3,4)],5)=>2
[3,+,4,1,-]=>[3,2,4,1,5]=>[1,3,4,2,5]=>([(2,4),(3,4)],5)=>2
[3,-,4,1,-]=>[3,2,4,1,5]=>[1,3,4,2,5]=>([(2,4),(3,4)],5)=>2
[3,+,4,5,1]=>[3,2,4,5,1]=>[1,3,4,5,2]=>([(1,4),(2,4),(3,4)],5)=>3
[3,-,4,5,1]=>[3,2,4,5,1]=>[1,3,4,5,2]=>([(1,4),(2,4),(3,4)],5)=>3
[3,+,5,1,4]=>[3,2,5,1,4]=>[1,3,5,4,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[3,-,5,1,4]=>[3,2,5,1,4]=>[1,3,5,4,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[3,+,5,+,1]=>[3,2,5,4,1]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>2
[3,-,5,+,1]=>[3,2,5,4,1]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>2
[3,+,5,-,1]=>[3,2,5,4,1]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>2
[3,-,5,-,1]=>[3,2,5,4,1]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>2
[3,4,1,2,+]=>[3,4,1,2,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,4,1,2,-]=>[3,4,1,2,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,4,1,5,2]=>[3,4,1,5,2]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,4,2,1,+]=>[3,4,2,1,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,4,2,1,-]=>[3,4,2,1,5]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,4,2,5,1]=>[3,4,2,5,1]=>[1,3,2,4,5]=>([(3,4)],5)=>1
[3,4,5,1,2]=>[3,4,5,1,2]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>2
[3,4,5,2,1]=>[3,4,5,2,1]=>[1,3,5,2,4]=>([(1,4),(2,3),(3,4)],5)=>2
[3,5,1,2,4]=>[3,5,1,2,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>1
[3,5,1,+,2]=>[3,5,1,4,2]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>1
[3,5,1,-,2]=>[3,5,1,4,2]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>1
[3,5,2,1,4]=>[3,5,2,1,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>1
[3,5,2,+,1]=>[3,5,2,4,1]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>1
[3,5,2,-,1]=>[3,5,2,4,1]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)=>1
[3,5,4,1,2]=>[3,5,4,1,2]=>[1,3,4,2,5]=>([(2,4),(3,4)],5)=>2
[3,5,4,2,1]=>[3,5,4,2,1]=>[1,3,4,2,5]=>([(2,4),(3,4)],5)=>2
[4,1,2,3,+]=>[4,1,2,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>3
[4,1,2,3,-]=>[4,1,2,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>3
[4,1,2,5,3]=>[4,1,2,5,3]=>[1,4,5,3,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,1,+,2,+]=>[4,1,3,2,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,1,-,2,+]=>[4,1,3,2,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,1,+,2,-]=>[4,1,3,2,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,1,-,2,-]=>[4,1,3,2,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,1,+,5,2]=>[4,1,3,5,2]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3
[4,1,-,5,2]=>[4,1,3,5,2]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3
[4,1,5,2,3]=>[4,1,5,2,3]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,1,5,3,2]=>[4,1,5,3,2]=>[1,4,3,5,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[4,+,1,3,+]=>[4,2,1,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>3
[4,-,1,3,+]=>[4,2,1,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>3
[4,+,1,3,-]=>[4,2,1,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>3
[4,-,1,3,-]=>[4,2,1,3,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>3
[4,+,1,5,3]=>[4,2,1,5,3]=>[1,4,5,3,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,-,1,5,3]=>[4,2,1,5,3]=>[1,4,5,3,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,+,+,1,+]=>[4,2,3,1,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,-,+,1,+]=>[4,2,3,1,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,+,-,1,+]=>[4,2,3,1,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,+,+,1,-]=>[4,2,3,1,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,-,-,1,+]=>[4,2,3,1,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,-,+,1,-]=>[4,2,3,1,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,+,-,1,-]=>[4,2,3,1,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,-,-,1,-]=>[4,2,3,1,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,+,+,5,1]=>[4,2,3,5,1]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3
[4,-,+,5,1]=>[4,2,3,5,1]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3
[4,+,-,5,1]=>[4,2,3,5,1]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3
[4,-,-,5,1]=>[4,2,3,5,1]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3
[4,+,5,1,3]=>[4,2,5,1,3]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,-,5,1,3]=>[4,2,5,1,3]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,+,5,3,1]=>[4,2,5,3,1]=>[1,4,3,5,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[4,-,5,3,1]=>[4,2,5,3,1]=>[1,4,3,5,2]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[4,3,1,2,+]=>[4,3,1,2,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,3,1,2,-]=>[4,3,1,2,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,3,1,5,2]=>[4,3,1,5,2]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3
[4,3,2,1,+]=>[4,3,2,1,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,3,2,1,-]=>[4,3,2,1,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,3,2,5,1]=>[4,3,2,5,1]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>3
[4,3,5,1,2]=>[4,3,5,1,2]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,3,5,2,1]=>[4,3,5,2,1]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)=>2
[4,5,1,2,3]=>[4,5,1,2,3]=>[1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5)=>2
[4,5,1,3,2]=>[4,5,1,3,2]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>3
[4,5,2,1,3]=>[4,5,2,1,3]=>[1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5)=>2
[4,5,2,3,1]=>[4,5,2,3,1]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)=>3
[4,5,+,1,2]=>[4,5,3,1,2]=>[1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5)=>2
[4,5,-,1,2]=>[4,5,3,1,2]=>[1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5)=>2
[4,5,+,2,1]=>[4,5,3,2,1]=>[1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5)=>2
[4,5,-,2,1]=>[4,5,3,2,1]=>[1,4,2,5,3]=>([(1,4),(2,3),(3,4)],5)=>2
[5,1,2,3,4]=>[5,1,2,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[5,1,2,+,3]=>[5,1,2,4,3]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,1,2,-,3]=>[5,1,2,4,3]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,1,+,2,4]=>[5,1,3,2,4]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,1,-,2,4]=>[5,1,3,2,4]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,1,+,+,2]=>[5,1,3,4,2]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,1,-,+,2]=>[5,1,3,4,2]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,1,+,-,2]=>[5,1,3,4,2]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,1,-,-,2]=>[5,1,3,4,2]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,1,4,2,3]=>[5,1,4,2,3]=>[1,5,3,4,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,1,4,3,2]=>[5,1,4,3,2]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,+,1,3,4]=>[5,2,1,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[5,-,1,3,4]=>[5,2,1,3,4]=>[1,5,4,3,2]=>([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[5,+,1,+,3]=>[5,2,1,4,3]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,-,1,+,3]=>[5,2,1,4,3]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,+,1,-,3]=>[5,2,1,4,3]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,-,1,-,3]=>[5,2,1,4,3]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,+,+,1,4]=>[5,2,3,1,4]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,-,+,1,4]=>[5,2,3,1,4]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,+,-,1,4]=>[5,2,3,1,4]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,-,-,1,4]=>[5,2,3,1,4]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,+,+,+,1]=>[5,2,3,4,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,-,+,+,1]=>[5,2,3,4,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,+,-,+,1]=>[5,2,3,4,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,+,+,-,1]=>[5,2,3,4,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,-,-,+,1]=>[5,2,3,4,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,-,+,-,1]=>[5,2,3,4,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,+,-,-,1]=>[5,2,3,4,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,-,-,-,1]=>[5,2,3,4,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,+,4,1,3]=>[5,2,4,1,3]=>[1,5,3,4,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,-,4,1,3]=>[5,2,4,1,3]=>[1,5,3,4,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,+,4,3,1]=>[5,2,4,3,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,-,4,3,1]=>[5,2,4,3,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,3,1,2,4]=>[5,3,1,2,4]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,3,1,+,2]=>[5,3,1,4,2]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,3,1,-,2]=>[5,3,1,4,2]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,3,2,1,4]=>[5,3,2,1,4]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,3,2,+,1]=>[5,3,2,4,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,3,2,-,1]=>[5,3,2,4,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,3,4,1,2]=>[5,3,4,1,2]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,3,4,2,1]=>[5,3,4,2,1]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)=>3
[5,4,1,2,3]=>[5,4,1,2,3]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,4,1,3,2]=>[5,4,1,3,2]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,4,2,1,3]=>[5,4,2,1,3]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,4,2,3,1]=>[5,4,2,3,1]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,4,+,1,2]=>[5,4,3,1,2]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,4,-,1,2]=>[5,4,3,1,2]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,4,+,2,1]=>[5,4,3,2,1]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,4,-,2,1]=>[5,4,3,2,1]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)=>3
[+,+,+,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,+,+,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,-,+,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,+,-,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,-,+,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,+,-,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,-,-,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,-,-,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,+,+,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,+,+,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,-,+,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,+,-,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,+,+,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,-,+,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,+,-,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,+,+,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,-,-,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,-,+,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,+,-,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,-,-,6,+,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,-,+,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,+,-,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,-,-,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,-,-,6,-,4]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,+,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,+,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,-,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,-,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,+,4,6,+,3]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,+,4,6,+,3]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,-,4,6,+,3]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,+,4,6,-,3]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,-,4,6,+,3]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,+,4,6,-,3]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,-,4,6,-,3]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,-,4,6,-,3]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,+,5,3,4,+]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,+,5,3,4,+]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,-,5,3,4,+]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,+,5,3,4,-]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,-,5,3,4,+]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,+,5,3,4,-]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,-,5,3,4,-]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,-,5,3,4,-]=>[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,+,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[-,+,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[+,-,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[-,-,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[+,+,5,+,3,+]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,+,5,+,3,+]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,-,5,+,3,+]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,+,5,-,3,+]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,+,5,+,3,-]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,-,5,+,3,+]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,+,5,-,3,+]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,+,5,+,3,-]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,-,5,-,3,+]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,-,5,+,3,-]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,+,5,-,3,-]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,-,5,-,3,+]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,-,5,+,3,-]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,+,5,-,3,-]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,-,5,-,3,-]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,-,5,-,3,-]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,+,5,+,6,3]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[-,+,5,+,6,3]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[+,-,5,+,6,3]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[+,+,5,-,6,3]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[-,-,5,+,6,3]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[-,+,5,-,6,3]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[+,-,5,-,6,3]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[-,-,5,-,6,3]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[+,+,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,+,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,-,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,-,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,+,5,6,4,3]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,+,5,6,4,3]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,-,5,6,4,3]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,-,5,6,4,3]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,+,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[-,+,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[+,-,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[-,-,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[+,+,6,3,+,4]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,+,6,3,+,4]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,-,6,3,+,4]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,+,6,3,-,4]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,-,6,3,+,4]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,+,6,3,-,4]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,-,6,3,-,4]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,-,6,3,-,4]=>[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,+,6,+,3,5]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[-,+,6,+,3,5]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[+,-,6,+,3,5]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[+,+,6,-,3,5]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[-,-,6,+,3,5]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[-,+,6,-,3,5]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[+,-,6,-,3,5]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[-,-,6,-,3,5]=>[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[+,+,6,+,+,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,+,6,+,+,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,-,6,+,+,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,+,6,-,+,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,+,6,+,-,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,-,6,+,+,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,+,6,-,+,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,+,6,+,-,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,-,6,-,+,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,-,6,+,-,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,+,6,-,-,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,-,6,-,+,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,-,6,+,-,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,+,6,-,-,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,-,6,-,-,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,-,6,-,-,3]=>[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,+,6,5,3,4]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,+,6,5,3,4]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,-,6,5,3,4]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,-,6,5,3,4]=>[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,+,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,+,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,-,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,-,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,3,2,6,4,5]=>[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,3,2,6,4,5]=>[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,3,2,6,+,4]=>[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,3,2,6,+,4]=>[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,3,2,6,-,4]=>[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,3,2,6,-,4]=>[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,3,4,6,2,5]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,3,4,6,2,5]=>[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,3,4,6,+,2]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,3,4,6,+,2]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,3,4,6,-,2]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[-,3,4,6,-,2]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[+,3,5,2,4,+]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,3,5,2,4,+]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,3,5,2,4,-]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,3,5,2,4,-]=>[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,3,5,2,6,4]=>[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[-,3,5,2,6,4]=>[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[+,3,5,+,2,+]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,3,5,+,2,+]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,3,5,-,2,+]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,3,5,+,2,-]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,3,5,-,2,+]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,3,5,+,2,-]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,3,5,-,2,-]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,3,5,-,2,-]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,3,5,+,6,2]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[-,3,5,+,6,2]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[+,3,5,-,6,2]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[-,3,5,-,6,2]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[+,3,5,6,2,4]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,3,5,6,2,4]=>[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,3,5,6,4,2]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[-,3,5,6,4,2]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[+,3,6,2,4,5]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[-,3,6,2,4,5]=>[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[+,3,6,2,+,4]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,3,6,2,+,4]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,3,6,2,-,4]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,3,6,2,-,4]=>[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,3,6,+,2,5]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[-,3,6,+,2,5]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[+,3,6,-,2,5]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[-,3,6,-,2,5]=>[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[+,3,6,+,+,2]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,3,6,+,+,2]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,3,6,-,+,2]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,3,6,+,-,2]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,3,6,-,+,2]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,3,6,+,-,2]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,3,6,-,-,2]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,3,6,-,-,2]=>[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,3,6,5,2,4]=>[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,3,6,5,2,4]=>[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,3,6,5,4,2]=>[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[-,3,6,5,4,2]=>[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[+,4,2,3,+,+]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,2,3,+,+]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,2,3,-,+]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,2,3,+,-]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,2,3,-,+]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,2,3,+,-]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,2,3,-,-]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,2,3,-,-]=>[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,2,5,3,+]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[-,4,2,5,3,+]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[+,4,2,5,3,-]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[-,4,2,5,3,-]=>[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[+,4,2,5,6,3]=>[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>3
[-,4,2,5,6,3]=>[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>3
[+,4,2,6,3,5]=>[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,4,2,6,3,5]=>[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,2,6,+,3]=>[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[-,4,2,6,+,3]=>[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[+,4,2,6,-,3]=>[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[-,4,2,6,-,3]=>[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[+,4,+,2,+,+]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,+,2,+,+]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,-,2,+,+]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,+,2,-,+]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,+,2,+,-]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,-,2,+,+]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,+,2,-,+]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,+,2,+,-]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,-,2,-,+]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,-,2,+,-]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,+,2,-,-]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,-,2,-,+]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,-,2,+,-]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,+,2,-,-]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,-,2,-,-]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,-,2,-,-]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,+,2,6,5]=>[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,+,2,6,5]=>[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,-,2,6,5]=>[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,-,2,6,5]=>[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,+,5,2,+]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[-,4,+,5,2,+]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[+,4,-,5,2,+]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[+,4,+,5,2,-]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[-,4,-,5,2,+]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[-,4,+,5,2,-]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[+,4,-,5,2,-]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[-,4,-,5,2,-]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[+,4,+,5,6,2]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>3
[-,4,+,5,6,2]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>3
[+,4,-,5,6,2]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>3
[-,4,-,5,6,2]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>3
[+,4,+,6,2,5]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,4,+,6,2,5]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,-,6,2,5]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,4,-,6,2,5]=>[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,+,6,+,2]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[-,4,+,6,+,2]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[+,4,-,6,+,2]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[+,4,+,6,-,2]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[-,4,-,6,+,2]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[-,4,+,6,-,2]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[+,4,-,6,-,2]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[-,4,-,6,-,2]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[+,4,5,2,3,+]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,5,2,3,+]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,5,2,3,-]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,5,2,3,-]=>[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,5,2,6,3]=>[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,5,2,6,3]=>[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,5,3,2,+]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,5,3,2,+]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,5,3,2,-]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,5,3,2,-]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,5,3,6,2]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[-,4,5,3,6,2]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[+,4,5,6,2,3]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[-,4,5,6,2,3]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[+,4,5,6,3,2]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[-,4,5,6,3,2]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[+,4,6,2,3,5]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[-,4,6,2,3,5]=>[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[+,4,6,2,+,3]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[-,4,6,2,+,3]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[+,4,6,2,-,3]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[-,4,6,2,-,3]=>[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[+,4,6,3,2,5]=>[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[-,4,6,3,2,5]=>[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[+,4,6,3,+,2]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[-,4,6,3,+,2]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[+,4,6,3,-,2]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[-,4,6,3,-,2]=>[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[+,4,6,5,2,3]=>[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[-,4,6,5,2,3]=>[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[+,4,6,5,3,2]=>[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[-,4,6,5,3,2]=>[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[+,5,2,3,4,+]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[-,5,2,3,4,+]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[+,5,2,3,4,-]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[-,5,2,3,4,-]=>[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[+,5,2,3,6,4]=>[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,5,2,3,6,4]=>[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,5,2,+,3,+]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,2,+,3,+]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,2,-,3,+]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,2,+,3,-]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,2,-,3,+]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,2,+,3,-]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,2,-,3,-]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,2,-,3,-]=>[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,2,+,6,3]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[-,5,2,+,6,3]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[+,5,2,-,6,3]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[-,5,2,-,6,3]=>[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[+,5,2,6,3,4]=>[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,2,6,3,4]=>[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,2,6,4,3]=>[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,5,2,6,4,3]=>[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,5,+,2,4,+]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[-,5,+,2,4,+]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[+,5,-,2,4,+]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[+,5,+,2,4,-]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[-,5,-,2,4,+]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[-,5,+,2,4,-]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[+,5,-,2,4,-]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[-,5,-,2,4,-]=>[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[+,5,+,2,6,4]=>[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,5,+,2,6,4]=>[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,5,-,2,6,4]=>[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,5,-,2,6,4]=>[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,5,+,+,2,+]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,+,+,2,+]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,-,+,2,+]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,+,-,2,+]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,+,+,2,-]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,-,+,2,+]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,+,-,2,+]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,+,+,2,-]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,-,-,2,+]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,-,+,2,-]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,+,-,2,-]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,-,-,2,+]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,-,+,2,-]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,+,-,2,-]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,-,-,2,-]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,-,-,2,-]=>[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,+,+,6,2]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[-,5,+,+,6,2]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[+,5,-,+,6,2]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[+,5,+,-,6,2]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[-,5,-,+,6,2]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[-,5,+,-,6,2]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[+,5,-,-,6,2]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[-,5,-,-,6,2]=>[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[+,5,+,6,2,4]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,+,6,2,4]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,-,6,2,4]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,-,6,2,4]=>[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,+,6,4,2]=>[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,5,+,6,4,2]=>[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,5,-,6,4,2]=>[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,5,-,6,4,2]=>[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,5,4,2,3,+]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,4,2,3,+]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,4,2,3,-]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,4,2,3,-]=>[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,4,2,6,3]=>[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[-,5,4,2,6,3]=>[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[+,5,4,3,2,+]=>[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,4,3,2,+]=>[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,4,3,2,-]=>[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,4,3,2,-]=>[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,4,3,6,2]=>[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[-,5,4,3,6,2]=>[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[+,5,4,6,2,3]=>[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,4,6,2,3]=>[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,4,6,3,2]=>[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[-,5,4,6,3,2]=>[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[+,5,6,2,3,4]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[-,5,6,2,3,4]=>[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[+,5,6,2,4,3]=>[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[-,5,6,2,4,3]=>[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[+,5,6,3,2,4]=>[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[-,5,6,3,2,4]=>[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[+,5,6,3,4,2]=>[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[-,5,6,3,4,2]=>[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[+,5,6,+,2,3]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[-,5,6,+,2,3]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[+,5,6,-,2,3]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[-,5,6,-,2,3]=>[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[+,5,6,+,3,2]=>[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[-,5,6,+,3,2]=>[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[+,5,6,-,3,2]=>[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[-,5,6,-,3,2]=>[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[+,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,6,2,3,+,4]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,2,3,+,4]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,2,3,-,4]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,2,3,-,4]=>[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,2,+,3,5]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,2,+,3,5]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,2,-,3,5]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,2,-,3,5]=>[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,2,+,+,3]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,2,+,+,3]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,2,-,+,3]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,2,+,-,3]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,2,-,+,3]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,2,+,-,3]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,2,-,-,3]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,2,-,-,3]=>[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,2,5,3,4]=>[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,2,5,3,4]=>[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,2,5,4,3]=>[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,2,5,4,3]=>[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,+,2,4,5]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,6,+,2,4,5]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,6,-,2,4,5]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,6,-,2,4,5]=>[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,6,+,2,+,4]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,+,2,+,4]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,-,2,+,4]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,+,2,-,4]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,-,2,+,4]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,+,2,-,4]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,-,2,-,4]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,-,2,-,4]=>[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,+,+,2,5]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,+,+,2,5]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,-,+,2,5]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,+,-,2,5]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,-,+,2,5]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,+,-,2,5]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,-,-,2,5]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,-,-,2,5]=>[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,+,+,+,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,+,+,+,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,-,+,+,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,+,-,+,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,+,+,-,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,-,+,+,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,+,-,+,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,+,+,-,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,-,-,+,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,-,+,-,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,+,-,-,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,-,-,+,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,-,+,-,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,+,-,-,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,-,-,-,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,-,-,-,2]=>[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,+,5,2,4]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,+,5,2,4]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,-,5,2,4]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,-,5,2,4]=>[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,+,5,4,2]=>[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,+,5,4,2]=>[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,-,5,4,2]=>[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,-,5,4,2]=>[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,4,2,3,5]=>[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,4,2,3,5]=>[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,4,2,+,3]=>[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,4,2,+,3]=>[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,4,2,-,3]=>[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,4,2,-,3]=>[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,4,3,2,5]=>[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,4,3,2,5]=>[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,4,3,+,2]=>[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,4,3,+,2]=>[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,4,3,-,2]=>[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,4,3,-,2]=>[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,4,5,2,3]=>[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,4,5,2,3]=>[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,4,5,3,2]=>[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[-,6,4,5,3,2]=>[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[+,6,5,2,3,4]=>[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,5,2,3,4]=>[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,5,2,4,3]=>[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,5,2,4,3]=>[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,5,3,2,4]=>[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,5,3,2,4]=>[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,5,3,4,2]=>[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,5,3,4,2]=>[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,5,+,2,3]=>[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,5,+,2,3]=>[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,5,-,2,3]=>[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,5,-,2,3]=>[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,5,+,3,2]=>[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,5,+,3,2]=>[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,5,-,3,2]=>[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,5,-,3,2]=>[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,6,4,5]=>[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,-,6,4,5]=>[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,+,6,+,4]=>[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,-,6,+,4]=>[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,+,6,-,4]=>[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,-,6,-,4]=>[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,4,6,3,5]=>[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,4,6,+,3]=>[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,4,6,-,3]=>[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,1,5,3,4,+]=>[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,5,3,4,-]=>[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,5,3,6,4]=>[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[2,1,5,+,3,+]=>[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,5,-,3,+]=>[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,5,+,3,-]=>[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,5,-,3,-]=>[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,5,+,6,3]=>[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[2,1,5,-,6,3]=>[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[2,1,5,6,3,4]=>[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,5,6,4,3]=>[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[2,1,6,3,+,4]=>[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,1,6,3,-,4]=>[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,1,6,+,3,5]=>[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[2,1,6,-,3,5]=>[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[2,1,6,+,+,3]=>[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,1,6,-,+,3]=>[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,1,6,+,-,3]=>[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,1,6,-,-,3]=>[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,1,6,5,3,4]=>[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,3,1,6,4,5]=>[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,3,1,6,+,4]=>[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,3,1,6,-,4]=>[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,3,4,6,1,5]=>[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,3,4,6,+,1]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,3,4,6,-,1]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>([(4,5)],6)=>1
[2,3,5,1,4,+]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,5,1,4,-]=>[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,5,1,6,4]=>[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[2,3,5,+,1,+]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,5,-,1,+]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,5,+,1,-]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,5,-,1,-]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,5,+,6,1]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[2,3,5,-,6,1]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>([(3,5),(4,5)],6)=>2
[2,3,5,6,1,4]=>[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,5,6,4,1]=>[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>([(4,5)],6)=>1
[2,3,6,1,4,5]=>[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[2,3,6,1,+,4]=>[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,3,6,1,-,4]=>[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,3,6,+,1,5]=>[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[2,3,6,-,1,5]=>[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)=>3
[2,3,6,+,+,1]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,3,6,-,+,1]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,3,6,+,-,1]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,3,6,-,-,1]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,3,6,5,1,4]=>[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,3,6,5,4,1]=>[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)=>2
[2,4,1,3,+,+]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,1,3,-,+]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,1,3,+,-]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,1,3,-,-]=>[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,1,3,6,5]=>[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,1,5,3,+]=>[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[2,4,1,5,3,-]=>[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[2,4,1,5,6,3]=>[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>3
[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,1,6,+,3]=>[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[2,4,1,6,-,3]=>[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[2,4,+,1,+,+]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,-,1,+,+]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,+,1,-,+]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,+,1,+,-]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,-,1,-,+]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,-,1,+,-]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,+,1,-,-]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,-,1,-,-]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,+,1,6,5]=>[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,-,1,6,5]=>[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,+,5,1,+]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[2,4,-,5,1,+]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[2,4,+,5,1,-]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[2,4,-,5,1,-]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[2,4,+,5,6,1]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>3
[2,4,-,5,6,1]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>([(2,5),(3,5),(4,5)],6)=>3
[2,4,+,6,1,5]=>[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,-,6,1,5]=>[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,+,6,+,1]=>[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[2,4,-,6,+,1]=>[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[2,4,+,6,-,1]=>[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[2,4,-,6,-,1]=>[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[2,4,5,1,3,+]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,5,1,3,-]=>[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,5,1,6,3]=>[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,5,3,1,+]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,5,3,1,-]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,5,3,6,1]=>[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>([(4,5)],6)=>1
[2,4,5,6,1,3]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[2,4,5,6,3,1]=>[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>([(2,5),(3,4),(4,5)],6)=>2
[2,4,6,1,3,5]=>[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[2,4,6,1,+,3]=>[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[2,4,6,1,-,3]=>[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[2,4,6,3,1,5]=>[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[2,4,6,3,+,1]=>[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[2,4,6,3,-,1]=>[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)=>1
[2,4,6,5,1,3]=>[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[2,4,6,5,3,1]=>[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>([(3,5),(4,5)],6)=>2
[2,5,1,3,4,+]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[2,5,1,3,4,-]=>[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[2,5,1,3,6,4]=>[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,5,1,+,3,+]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,1,-,3,+]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,1,+,3,-]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,1,-,3,-]=>[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,1,+,6,3]=>[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[2,5,1,-,6,3]=>[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,1,6,4,3]=>[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,5,+,1,4,+]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[2,5,-,1,4,+]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[2,5,+,1,4,-]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[2,5,-,1,4,-]=>[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[2,5,+,1,6,4]=>[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,5,-,1,6,4]=>[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,5,+,+,1,+]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,-,+,1,+]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,+,-,1,+]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,+,+,1,-]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,-,-,1,+]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,-,+,1,-]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,+,-,1,-]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,-,-,1,-]=>[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,+,+,6,1]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[2,5,-,+,6,1]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[2,5,+,-,6,1]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[2,5,-,-,6,1]=>[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[2,5,+,6,1,4]=>[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,-,6,1,4]=>[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,+,6,4,1]=>[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,5,-,6,4,1]=>[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,5,4,1,3,+]=>[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,4,1,3,-]=>[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,4,1,6,3]=>[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[2,5,4,3,1,+]=>[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,4,3,1,-]=>[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,4,3,6,1]=>[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[2,5,4,6,1,3]=>[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,4,6,3,1]=>[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)=>2
[2,5,6,1,3,4]=>[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[2,5,6,1,4,3]=>[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[2,5,6,3,1,4]=>[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[2,5,6,3,4,1]=>[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)=>3
[2,5,6,+,1,3]=>[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[2,5,6,-,1,3]=>[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[2,5,6,+,3,1]=>[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[2,5,6,-,3,1]=>[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>([(2,5),(3,4),(4,5)],6)=>2
[2,6,1,3,4,5]=>[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,6,1,3,+,4]=>[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,1,3,-,4]=>[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,1,+,3,5]=>[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,1,-,3,5]=>[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,1,+,+,3]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,1,-,+,3]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,1,+,-,3]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,1,-,-,3]=>[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,1,5,3,4]=>[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,+,1,4,5]=>[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,6,-,1,4,5]=>[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,6,+,1,+,4]=>[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,-,1,+,4]=>[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,+,1,-,4]=>[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,-,1,-,4]=>[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,+,+,1,5]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,-,+,1,5]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,+,-,1,5]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,-,-,1,5]=>[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,+,+,+,1]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,-,+,+,1]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,+,-,+,1]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,+,+,-,1]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,-,-,+,1]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,-,+,-,1]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,+,-,-,1]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,-,-,-,1]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,+,5,1,4]=>[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,-,5,1,4]=>[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,+,5,4,1]=>[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,-,5,4,1]=>[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,4,1,3,5]=>[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,4,1,+,3]=>[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,4,1,-,3]=>[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,4,3,1,5]=>[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,6,4,3,+,1]=>[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,4,3,-,1]=>[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,4,5,1,3]=>[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,4,5,3,1]=>[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)=>3
[2,6,5,1,3,4]=>[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,5,3,4,1]=>[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,5,+,1,3]=>[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,5,-,1,3]=>[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,5,+,3,1]=>[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,5,-,3,1]=>[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,+,+,+]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,-,+,+]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,+,-,+]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,+,+,-]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,-,-,+]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,-,+,-]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,+,-,-]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,-,-,-]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,+,6,5]=>[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,-,6,5]=>[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,5,4,+]=>[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,5,4,-]=>[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,5,6,4]=>[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,1,2,6,+,4]=>[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,1,2,6,-,4]=>[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,1,4,2,+,+]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,1,4,2,-,+]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,1,4,2,+,-]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,1,4,2,-,-]=>[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,1,4,2,6,5]=>[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,1,4,5,2,+]=>[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>3
[3,1,4,5,2,-]=>[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>3
[3,1,4,5,6,2]=>[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[3,1,4,6,2,5]=>[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,1,4,6,+,2]=>[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,1,4,6,-,2]=>[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,1,5,2,4,+]=>[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,2,4,-]=>[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,2,6,4]=>[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,1,5,+,2,+]=>[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,1,5,-,2,+]=>[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,1,5,+,2,-]=>[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,1,5,-,2,-]=>[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,1,5,+,6,2]=>[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[3,1,5,-,6,2]=>[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[3,1,5,6,2,4]=>[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,1,5,6,4,2]=>[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,1,6,2,4,5]=>[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,1,6,2,+,4]=>[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,2,-,4]=>[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,+,2,5]=>[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[3,1,6,-,2,5]=>[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[3,1,6,+,+,2]=>[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,1,6,-,+,2]=>[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,1,6,+,-,2]=>[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,1,6,-,-,2]=>[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,1,6,5,2,4]=>[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,+,1,+,+,+]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,+,+,+]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,-,+,+]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,+,-,+]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,+,+,-]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,-,+,+]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,+,-,+]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,+,+,-]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,-,-,+]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,-,+,-]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,+,-,-]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,-,-,+]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,-,+,-]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,+,-,-]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,-,-,-]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,-,-,-]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,+,6,5]=>[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,+,6,5]=>[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,-,6,5]=>[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,-,6,5]=>[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,5,4,+]=>[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,5,4,+]=>[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,5,4,-]=>[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,5,4,-]=>[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,5,6,4]=>[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,-,1,5,6,4]=>[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,+,1,6,4,5]=>[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,-,1,6,4,5]=>[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,+,1,6,+,4]=>[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,-,1,6,+,4]=>[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,+,1,6,-,4]=>[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,-,1,6,-,4]=>[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,+,4,1,+,+]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,-,4,1,+,+]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,+,4,1,-,+]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,+,4,1,+,-]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,-,4,1,-,+]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,-,4,1,+,-]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,+,4,1,-,-]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,-,4,1,-,-]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,+,4,1,6,5]=>[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,-,4,1,6,5]=>[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,+,4,5,1,+]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>3
[3,-,4,5,1,+]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>3
[3,+,4,5,1,-]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>3
[3,-,4,5,1,-]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>3
[3,+,4,5,6,1]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[3,-,4,5,6,1]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[3,+,4,6,1,5]=>[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,-,4,6,1,5]=>[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,+,4,6,+,1]=>[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,-,4,6,+,1]=>[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,+,4,6,-,1]=>[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,-,4,6,-,1]=>[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,+,5,1,4,+]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,5,1,4,+]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,5,1,4,-]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,5,1,4,-]=>[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,5,1,6,4]=>[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,-,5,1,6,4]=>[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,+,5,+,1,+]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,-,5,+,1,+]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,+,5,-,1,+]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,+,5,+,1,-]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,-,5,-,1,+]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,-,5,+,1,-]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,+,5,-,1,-]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,-,5,-,1,-]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,+,5,+,6,1]=>[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[3,-,5,+,6,1]=>[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[3,+,5,-,6,1]=>[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[3,-,5,-,6,1]=>[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[3,+,5,6,1,4]=>[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,-,5,6,1,4]=>[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,+,5,6,4,1]=>[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,-,5,6,4,1]=>[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,+,6,1,4,5]=>[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,-,6,1,4,5]=>[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,+,6,1,+,4]=>[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,-,6,1,+,4]=>[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,1,-,4]=>[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,-,6,1,-,4]=>[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,+,1,5]=>[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[3,-,6,+,1,5]=>[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[3,+,6,-,1,5]=>[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[3,-,6,-,1,5]=>[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[3,+,6,+,+,1]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,-,6,+,+,1]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,+,6,-,+,1]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,+,6,+,-,1]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,-,6,-,+,1]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,-,6,+,-,1]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,+,6,-,-,1]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,-,6,-,-,1]=>[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,+,6,5,1,4]=>[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,-,6,5,1,4]=>[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,+,6,5,4,1]=>[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,-,6,5,4,1]=>[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,4,1,2,+,+]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,2,-,+]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,2,+,-]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,2,-,-]=>[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,2,6,5]=>[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,5,2,+]=>[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,5,2,-]=>[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,5,6,2]=>[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,4,1,6,+,2]=>[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,4,1,6,-,2]=>[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,4,2,1,+,+]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,1,-,+]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,1,+,-]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,1,-,-]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,1,6,5]=>[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,5,1,+]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,5,1,-]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>([(4,5)],6)=>1
[3,4,2,6,1,5]=>[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,4,2,6,+,1]=>[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,4,2,6,-,1]=>[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)=>1
[3,4,5,1,2,+]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,4,5,1,2,-]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,4,5,1,6,2]=>[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[3,4,5,2,1,+]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,4,5,2,1,-]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[3,4,5,6,1,2]=>[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>([(2,5),(3,4),(4,5)],6)=>2
[3,4,6,1,2,5]=>[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[3,4,6,1,+,2]=>[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,4,6,1,-,2]=>[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,4,6,2,1,5]=>[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[3,4,6,2,+,1]=>[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,4,6,2,-,1]=>[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,4,6,5,1,2]=>[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,4,6,5,2,1]=>[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,5,1,2,4,+]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,1,2,4,-]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,1,2,6,4]=>[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>2
[3,5,1,+,2,+]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,1,-,2,+]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,1,+,2,-]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,1,-,2,-]=>[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,1,+,6,2]=>[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>2
[3,5,1,-,6,2]=>[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>2
[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,1,6,4,2]=>[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,1,4,+]=>[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,1,4,-]=>[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,1,6,4]=>[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>2
[3,5,2,+,1,+]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,-,1,+]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,+,1,-]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,-,1,-]=>[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,+,6,1]=>[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>2
[3,5,2,-,6,1]=>[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>([(1,2),(3,5),(4,5)],6)=>2
[3,5,2,6,1,4]=>[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,2,6,4,1]=>[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)=>1
[3,5,4,1,2,+]=>[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,5,4,1,2,-]=>[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,5,4,1,6,2]=>[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,5,4,2,1,+]=>[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,5,4,2,1,-]=>[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,5,4,2,6,1]=>[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>([(3,5),(4,5)],6)=>2
[3,5,4,6,1,2]=>[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,5,4,6,2,1]=>[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[3,5,6,1,2,4]=>[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,5,6,1,4,2]=>[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[3,5,6,2,1,4]=>[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,5,6,2,4,1]=>[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[3,5,6,+,1,2]=>[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[3,5,6,-,1,2]=>[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[3,5,6,+,2,1]=>[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[3,5,6,-,2,1]=>[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[3,6,1,2,4,5]=>[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[3,6,1,2,+,4]=>[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,1,2,-,4]=>[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,1,+,2,5]=>[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[3,6,1,-,2,5]=>[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[3,6,1,+,+,2]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,1,-,+,2]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,1,+,-,2]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,1,-,-,2]=>[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,1,5,2,4]=>[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,2,1,4,5]=>[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[3,6,2,1,+,4]=>[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,2,1,-,4]=>[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,2,+,1,5]=>[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[3,6,2,-,1,5]=>[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[3,6,2,+,+,1]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,2,-,+,1]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,2,+,-,1]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,2,-,-,1]=>[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,4,1,2,5]=>[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,4,1,+,2]=>[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,4,1,-,2]=>[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,4,2,+,1]=>[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,4,2,-,1]=>[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[3,6,4,5,1,2]=>[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>3
[3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>([(2,5),(3,5),(4,5)],6)=>3
[3,6,5,1,2,4]=>[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,6,5,+,1,2]=>[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[3,6,5,-,1,2]=>[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[3,6,5,+,2,1]=>[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[3,6,5,-,2,1]=>[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,1,2,3,+,+]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,1,2,3,-,+]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,1,2,3,+,-]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,1,2,3,-,-]=>[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,1,2,5,3,+]=>[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,1,2,5,3,-]=>[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,1,2,5,6,3]=>[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,1,2,6,+,3]=>[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[4,1,2,6,-,3]=>[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[4,1,+,2,+,+]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,-,2,+,+]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,+,2,-,+]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,+,2,+,-]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,-,2,-,+]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,-,2,+,-]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,+,2,-,-]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,-,2,-,-]=>[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,+,2,6,5]=>[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,-,2,6,5]=>[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,+,5,2,+]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,1,-,5,2,+]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,1,+,5,2,-]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,1,-,5,2,-]=>[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,1,+,5,6,2]=>[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,1,-,5,6,2]=>[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,1,+,6,2,5]=>[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,1,-,6,2,5]=>[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,1,+,6,+,2]=>[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,1,-,6,+,2]=>[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,1,+,6,-,2]=>[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,1,-,6,-,2]=>[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,1,5,2,3,+]=>[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,5,2,3,-]=>[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,5,2,6,3]=>[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,1,5,3,2,+]=>[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,5,3,2,-]=>[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,5,3,6,2]=>[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,1,5,6,2,3]=>[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,1,5,6,3,2]=>[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,1,6,2,3,5]=>[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,1,6,2,+,3]=>[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,1,6,2,-,3]=>[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,1,6,3,2,5]=>[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[4,1,6,3,+,2]=>[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,1,6,3,-,2]=>[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,1,6,5,2,3]=>[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,1,3,+,+]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,-,1,3,+,+]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,+,1,3,-,+]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,+,1,3,+,-]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,-,1,3,-,+]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,-,1,3,+,-]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,+,1,3,-,-]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,-,1,3,-,-]=>[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,+,1,3,6,5]=>[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,-,1,3,6,5]=>[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,+,1,5,3,+]=>[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,1,5,3,+]=>[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,1,5,3,-]=>[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,1,5,3,-]=>[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,1,5,6,3]=>[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,1,5,6,3]=>[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,1,6,3,5]=>[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,-,1,6,3,5]=>[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,+,1,6,+,3]=>[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[4,-,1,6,+,3]=>[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[4,+,1,6,-,3]=>[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[4,-,1,6,-,3]=>[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[4,+,+,1,+,+]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,+,1,+,+]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,-,1,+,+]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,+,1,-,+]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,+,1,+,-]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,-,1,+,+]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,+,1,-,+]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,+,1,+,-]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,-,1,-,+]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,-,1,+,-]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,+,1,-,-]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,-,1,-,+]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,-,1,+,-]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,+,1,-,-]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,-,1,-,-]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,-,1,-,-]=>[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,+,1,6,5]=>[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,+,1,6,5]=>[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,-,1,6,5]=>[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,-,1,6,5]=>[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,+,5,1,+]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,-,+,5,1,+]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,+,-,5,1,+]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,+,+,5,1,-]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,-,-,5,1,+]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,-,+,5,1,-]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,+,-,5,1,-]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,-,-,5,1,-]=>[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,+,+,5,6,1]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,-,+,5,6,1]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,+,-,5,6,1]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,-,-,5,6,1]=>[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,+,+,6,1,5]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,-,+,6,1,5]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,+,-,6,1,5]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,-,-,6,1,5]=>[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,+,+,6,+,1]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,-,+,6,+,1]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,+,-,6,+,1]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,+,+,6,-,1]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,-,-,6,+,1]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,-,+,6,-,1]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,+,-,6,-,1]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,-,-,6,-,1]=>[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,+,5,1,3,+]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,5,1,3,+]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,5,1,3,-]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,5,1,3,-]=>[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,5,1,6,3]=>[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,-,5,1,6,3]=>[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,+,5,3,1,+]=>[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,5,3,1,+]=>[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,5,3,1,-]=>[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,5,3,1,-]=>[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,5,3,6,1]=>[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,5,3,6,1]=>[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,5,6,1,3]=>[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,5,6,1,3]=>[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,5,6,3,1]=>[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,-,5,6,3,1]=>[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,+,6,1,3,5]=>[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,-,6,1,3,5]=>[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,+,6,1,+,3]=>[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,-,6,1,+,3]=>[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,+,6,1,-,3]=>[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,-,6,1,-,3]=>[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,+,6,3,1,5]=>[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[4,-,6,3,1,5]=>[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[4,+,6,3,+,1]=>[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,-,6,3,+,1]=>[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,+,6,3,-,1]=>[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,-,6,3,-,1]=>[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,+,6,5,1,3]=>[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,-,6,5,1,3]=>[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,+,6,5,3,1]=>[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,6,5,3,1]=>[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,3,1,2,+,+]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,1,2,-,+]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,1,2,+,-]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,1,2,-,-]=>[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,1,2,6,5]=>[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,1,5,2,+]=>[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,3,1,5,2,-]=>[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,3,1,5,6,2]=>[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,3,1,6,+,2]=>[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,3,1,6,-,2]=>[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,3,2,1,+,+]=>[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,2,1,-,+]=>[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,2,1,+,-]=>[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,2,1,-,-]=>[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,2,5,1,+]=>[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,3,2,5,1,-]=>[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,3,2,6,+,1]=>[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,3,2,6,-,1]=>[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,3,5,1,2,+]=>[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,5,1,2,-]=>[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,5,1,6,2]=>[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,5,2,1,+]=>[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,5,2,1,-]=>[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)=>2
[4,3,5,6,1,2]=>[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,3,6,1,2,5]=>[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,3,6,1,+,2]=>[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,3,6,1,-,2]=>[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,3,6,2,+,1]=>[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,3,6,2,-,1]=>[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)=>2
[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)=>3
[4,5,1,2,3,+]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,1,2,3,-]=>[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,1,2,6,3]=>[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[4,5,1,3,2,+]=>[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,5,1,3,2,-]=>[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,5,1,3,6,2]=>[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,5,1,6,2,3]=>[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[4,5,1,6,3,2]=>[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,2,1,3,+]=>[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,2,1,3,-]=>[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,2,1,6,3]=>[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[4,5,2,3,1,+]=>[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,5,2,3,1,-]=>[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,5,2,3,6,1]=>[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)=>3
[4,5,2,6,1,3]=>[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[4,5,2,6,3,1]=>[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,+,1,2,+]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,-,1,2,+]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,+,1,2,-]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,-,1,2,-]=>[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,+,1,6,2]=>[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[4,5,-,1,6,2]=>[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[4,5,+,2,1,+]=>[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,-,2,1,+]=>[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,+,2,1,-]=>[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,-,2,1,-]=>[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,+,2,6,1]=>[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[4,5,-,2,6,1]=>[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[4,5,+,6,1,2]=>[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,-,6,1,2]=>[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,+,6,2,1]=>[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,-,6,2,1]=>[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,6,1,3,2]=>[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,6,2,1,3]=>[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,6,2,3,1]=>[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>([(2,5),(3,4),(4,5)],6)=>2
[4,5,6,3,1,2]=>[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,6,1,2,3,5]=>[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,6,1,2,+,3]=>[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,1,2,-,3]=>[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,1,3,2,5]=>[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[4,6,1,3,+,2]=>[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[4,6,1,3,-,2]=>[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[4,6,1,5,2,3]=>[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,6,2,1,3,5]=>[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,6,2,1,+,3]=>[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,2,1,-,3]=>[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,2,3,1,5]=>[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[4,6,2,3,+,1]=>[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[4,6,2,3,-,1]=>[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)=>3
[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,6,+,1,2,5]=>[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,6,-,1,2,5]=>[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,6,+,1,+,2]=>[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,-,1,+,2]=>[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,+,1,-,2]=>[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,-,1,-,2]=>[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,+,2,1,5]=>[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,6,-,2,1,5]=>[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[4,6,+,2,+,1]=>[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,-,2,+,1]=>[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,+,2,-,1]=>[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,-,2,-,1]=>[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,+,5,1,2]=>[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,6,-,5,1,2]=>[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,6,+,5,2,1]=>[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,6,-,5,2,1]=>[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,6,5,1,2,3]=>[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>([(1,5),(2,4),(3,4),(3,5)],6)=>2
[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,3,4,+]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,1,2,3,4,-]=>[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,1,2,3,6,4]=>[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,1,2,+,3,+]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,-,3,+]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,+,3,-]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,-,3,-]=>[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,+,6,3]=>[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,1,2,-,6,3]=>[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,1,2,6,3,4]=>[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,6,4,3]=>[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,1,+,2,4,+]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,1,-,2,4,+]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,1,+,2,4,-]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,1,-,2,4,-]=>[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,1,+,2,6,4]=>[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,1,-,2,6,4]=>[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,1,+,+,2,+]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,-,+,2,+]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,+,-,2,+]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,+,+,2,-]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,-,-,2,+]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,-,+,2,-]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,+,-,2,-]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,-,-,2,-]=>[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,+,+,6,2]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,1,-,+,6,2]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,1,+,-,6,2]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,1,-,-,6,2]=>[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,1,+,6,2,4]=>[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,-,6,2,4]=>[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,+,6,4,2]=>[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,1,-,6,4,2]=>[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,1,4,2,3,+]=>[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,1,4,2,3,-]=>[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,1,4,2,6,3]=>[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,1,4,3,2,+]=>[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,4,3,2,-]=>[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,4,3,6,2]=>[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,1,4,6,2,3]=>[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,1,4,6,3,2]=>[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,1,6,2,3,4]=>[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,1,6,2,4,3]=>[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,1,6,3,2,4]=>[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,1,6,+,2,3]=>[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,1,6,-,2,3]=>[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,1,6,+,3,2]=>[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,1,6,-,3,2]=>[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,3,4,+]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,-,1,3,4,+]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,+,1,3,4,-]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,-,1,3,4,-]=>[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,+,1,3,6,4]=>[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,-,1,3,6,4]=>[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,+,1,+,3,+]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,1,+,3,+]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,-,3,+]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,+,3,-]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,1,-,3,+]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,1,+,3,-]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,-,3,-]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,1,-,3,-]=>[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,+,6,3]=>[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,-,1,+,6,3]=>[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,+,1,-,6,3]=>[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,-,1,-,6,3]=>[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,+,1,6,3,4]=>[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,1,6,3,4]=>[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,6,4,3]=>[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,-,1,6,4,3]=>[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,+,+,1,4,+]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,+,1,4,+]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,-,1,4,+]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,+,1,4,-]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,-,1,4,+]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,+,1,4,-]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,-,1,4,-]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,-,1,4,-]=>[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,+,1,6,4]=>[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,-,+,1,6,4]=>[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,+,-,1,6,4]=>[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,-,-,1,6,4]=>[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,+,+,+,1,+]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,+,+,1,+]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,-,+,1,+]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,+,-,1,+]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,+,+,1,-]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,-,+,1,+]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,+,-,1,+]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,+,+,1,-]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,-,-,1,+]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,-,+,1,-]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,+,-,1,-]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,-,-,1,+]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,-,+,1,-]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,+,-,1,-]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,-,-,1,-]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,-,-,1,-]=>[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,+,+,6,1]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,-,+,+,6,1]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,+,-,+,6,1]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,+,+,-,6,1]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,-,-,+,6,1]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,-,+,-,6,1]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,+,-,-,6,1]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,-,-,-,6,1]=>[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,+,+,6,1,4]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,+,6,1,4]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,-,6,1,4]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,-,6,1,4]=>[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,+,6,4,1]=>[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,-,+,6,4,1]=>[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,+,-,6,4,1]=>[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,-,-,6,4,1]=>[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,+,4,1,3,+]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,4,1,3,+]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,4,1,3,-]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,4,1,3,-]=>[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,4,1,6,3]=>[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,-,4,1,6,3]=>[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,+,4,3,1,+]=>[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,4,3,1,+]=>[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,4,3,1,-]=>[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,4,3,1,-]=>[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,4,3,6,1]=>[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,-,4,3,6,1]=>[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,+,4,6,1,3]=>[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,-,4,6,1,3]=>[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,+,4,6,3,1]=>[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,4,6,3,1]=>[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,6,1,3,4]=>[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,6,1,3,4]=>[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,6,1,4,3]=>[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,6,1,4,3]=>[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,6,3,1,4]=>[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,-,6,3,1,4]=>[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,+,6,3,4,1]=>[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,-,6,3,4,1]=>[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,+,6,+,1,3]=>[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,-,6,+,1,3]=>[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,+,6,-,1,3]=>[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,-,6,-,1,3]=>[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,+,6,+,3,1]=>[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,-,6,+,3,1]=>[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,6,-,3,1]=>[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,-,6,-,3,1]=>[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,3,1,2,4,+]=>[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,3,1,2,4,-]=>[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,3,1,2,6,4]=>[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,3,1,+,2,+]=>[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,1,-,2,+]=>[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,1,+,2,-]=>[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,1,-,2,-]=>[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,1,+,6,2]=>[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,3,1,-,6,2]=>[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,3,1,6,2,4]=>[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,3,2,1,4,+]=>[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,3,2,1,4,-]=>[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[5,3,2,+,1,+]=>[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,2,-,1,+]=>[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,2,+,1,-]=>[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,2,-,1,-]=>[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,2,+,6,1]=>[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,3,2,-,6,1]=>[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,3,4,1,2,+]=>[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,4,1,2,-]=>[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,4,1,6,2]=>[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,3,4,2,1,+]=>[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,4,2,1,-]=>[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,3,4,6,1,2]=>[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,4,6,2,1]=>[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)=>3
[5,3,6,1,2,4]=>[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,3,6,+,1,2]=>[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,3,6,-,1,2]=>[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,3,6,+,2,1]=>[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,3,6,-,2,1]=>[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>([(1,5),(2,5),(3,4),(4,5)],6)=>3
[5,4,1,2,3,+]=>[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,1,2,3,-]=>[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,1,2,6,3]=>[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,4,1,3,2,+]=>[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,1,3,2,-]=>[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,1,3,6,2]=>[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,4,1,6,2,3]=>[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,1,3,+]=>[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,1,3,-]=>[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,4,2,3,1,+]=>[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,3,1,-]=>[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,3,6,1]=>[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,+,1,2,+]=>[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,-,1,2,+]=>[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,+,1,2,-]=>[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,-,1,2,-]=>[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,+,1,6,2]=>[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,4,-,1,6,2]=>[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,4,+,2,1,+]=>[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,-,2,1,+]=>[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,+,2,1,-]=>[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,-,2,1,-]=>[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,+,2,6,1]=>[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,4,-,2,6,1]=>[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,4,+,6,1,2]=>[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,-,6,1,2]=>[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,+,6,2,1]=>[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,-,6,2,1]=>[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,6,1,2,3]=>[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,6,1,2,3,4]=>[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[5,6,1,2,4,3]=>[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,1,3,2,4]=>[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,1,3,4,2]=>[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,1,+,2,3]=>[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,1,-,2,3]=>[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,1,+,3,2]=>[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[5,6,1,-,3,2]=>[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,2,3,1,4]=>[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,2,3,4,1]=>[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,2,+,1,3]=>[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,2,-,1,3]=>[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,2,+,3,1]=>[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[5,6,2,-,3,1]=>[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>3
[5,6,+,1,2,4]=>[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,-,1,2,4]=>[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,+,1,4,2]=>[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,-,1,4,2]=>[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,+,2,1,4]=>[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,-,2,1,4]=>[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,+,2,4,1]=>[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,-,2,4,1]=>[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>4
[5,6,+,+,1,2]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,-,+,1,2]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,+,-,1,2]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,-,-,1,2]=>[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,+,+,2,1]=>[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,-,+,2,1]=>[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,+,-,2,1]=>[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,-,-,2,1]=>[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,4,1,2,3]=>[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3
[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[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)=>5
[6,1,2,3,+,4]=>[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,2,3,-,4]=>[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,2,+,3,5]=>[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,2,-,3,5]=>[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,2,+,+,3]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,2,-,+,3]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,2,+,-,3]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,2,-,-,3]=>[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,2,5,3,4]=>[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,2,5,4,3]=>[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,+,2,4,5]=>[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,-,2,4,5]=>[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,+,2,+,4]=>[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,-,2,+,4]=>[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,+,2,-,4]=>[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,-,2,-,4]=>[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,+,+,2,5]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,-,+,2,5]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,+,-,2,5]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,-,-,2,5]=>[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,+,+,+,2]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,-,+,+,2]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,+,-,+,2]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,+,+,-,2]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,-,-,+,2]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,-,+,-,2]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,+,-,-,2]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,-,-,-,2]=>[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,+,5,2,4]=>[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[6,1,-,5,2,4]=>[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[6,1,+,5,4,2]=>[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,-,5,4,2]=>[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,4,2,3,5]=>[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,4,2,+,3]=>[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,4,2,-,3]=>[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,4,3,2,5]=>[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,4,3,+,2]=>[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,4,3,-,2]=>[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,4,5,2,3]=>[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,4,5,3,2]=>[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,1,5,2,3,4]=>[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,5,3,2,4]=>[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,5,3,4,2]=>[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,5,+,2,3]=>[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,5,-,2,3]=>[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,5,+,3,2]=>[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,5,-,3,2]=>[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,1,3,4,5]=>[6,2,1,3,4,5]=>[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)=>5
[6,-,1,3,4,5]=>[6,2,1,3,4,5]=>[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)=>5
[6,+,1,3,+,4]=>[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,-,1,3,+,4]=>[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,+,1,3,-,4]=>[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,-,1,3,-,4]=>[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,+,1,+,3,5]=>[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,-,1,+,3,5]=>[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,+,1,-,3,5]=>[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,-,1,-,3,5]=>[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,+,1,+,+,3]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,1,+,+,3]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,1,-,+,3]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,1,+,-,3]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,1,-,+,3]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,1,+,-,3]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,1,-,-,3]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,1,-,-,3]=>[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,1,5,3,4]=>[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,-,1,5,3,4]=>[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,+,1,5,4,3]=>[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,1,5,4,3]=>[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,+,1,4,5]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,-,+,1,4,5]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,+,-,1,4,5]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,-,-,1,4,5]=>[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,+,+,1,+,4]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,+,1,+,4]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,-,1,+,4]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,+,1,-,4]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,-,1,+,4]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,+,1,-,4]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,-,1,-,4]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,-,1,-,4]=>[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,+,+,1,5]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,+,+,1,5]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,-,+,1,5]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,+,-,1,5]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,-,+,1,5]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,+,-,1,5]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,-,-,1,5]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,-,-,1,5]=>[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,+,+,+,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,+,+,+,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,-,+,+,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,+,-,+,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,+,+,-,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,-,+,+,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,+,-,+,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,+,+,-,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,-,-,+,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,-,+,-,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,+,-,-,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,-,-,+,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,-,+,-,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,+,-,-,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,-,-,-,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,-,-,-,1]=>[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,+,5,1,4]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[6,-,+,5,1,4]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[6,+,-,5,1,4]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[6,-,-,5,1,4]=>[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[6,+,+,5,4,1]=>[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,+,5,4,1]=>[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,-,5,4,1]=>[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,-,5,4,1]=>[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,4,1,3,5]=>[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,-,4,1,3,5]=>[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,+,4,1,+,3]=>[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,4,1,+,3]=>[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,4,1,-,3]=>[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,4,1,-,3]=>[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,4,3,1,5]=>[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,4,3,1,5]=>[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,4,3,+,1]=>[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,4,3,+,1]=>[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,4,3,-,1]=>[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,4,3,-,1]=>[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,4,5,1,3]=>[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,4,5,1,3]=>[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,4,5,3,1]=>[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,-,4,5,3,1]=>[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,+,5,1,3,4]=>[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,5,1,3,4]=>[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,5,1,4,3]=>[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,-,5,1,4,3]=>[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,+,5,3,1,4]=>[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,-,5,3,1,4]=>[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,+,5,3,4,1]=>[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,5,3,4,1]=>[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,5,+,1,3]=>[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,5,+,1,3]=>[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,5,-,1,3]=>[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,5,-,1,3]=>[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,5,+,3,1]=>[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,5,+,3,1]=>[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,5,-,3,1]=>[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,5,-,3,1]=>[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,3,1,2,+,4]=>[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,1,2,-,4]=>[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,1,+,2,5]=>[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,1,-,2,5]=>[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,1,+,+,2]=>[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,1,-,+,2]=>[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,1,+,-,2]=>[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,1,-,-,2]=>[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,1,5,2,4]=>[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,2,1,4,5]=>[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,3,2,1,+,4]=>[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,2,1,-,4]=>[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,2,+,1,5]=>[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,2,-,1,5]=>[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,2,+,+,1]=>[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,2,-,+,1]=>[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,2,+,-,1]=>[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,2,-,-,1]=>[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,4,1,2,5]=>[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,4,1,+,2]=>[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,4,1,-,2]=>[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,4,2,1,5]=>[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,4,2,+,1]=>[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,4,2,-,1]=>[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,4,5,1,2]=>[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,4,5,2,1]=>[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>4
[6,3,5,1,2,4]=>[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,5,+,1,2]=>[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,5,-,1,2]=>[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,5,+,2,1]=>[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,5,-,2,1]=>[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,1,2,3,5]=>[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,4,1,2,+,3]=>[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,1,2,-,3]=>[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,1,3,2,5]=>[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,4,1,3,+,2]=>[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,1,3,-,2]=>[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,1,5,2,3]=>[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,2,1,3,5]=>[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,4,2,1,+,3]=>[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,2,1,-,3]=>[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,2,3,1,5]=>[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,4,2,3,+,1]=>[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,2,3,-,1]=>[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,+,1,2,5]=>[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,4,-,1,2,5]=>[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,4,+,1,+,2]=>[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,-,1,+,2]=>[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,+,1,-,2]=>[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,-,1,-,2]=>[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,+,2,1,5]=>[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,4,-,2,1,5]=>[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,4,+,2,+,1]=>[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,-,2,+,1]=>[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,+,2,-,1]=>[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,-,2,-,1]=>[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,+,5,1,2]=>[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,-,5,1,2]=>[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,+,5,2,1]=>[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,-,5,2,1]=>[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,5,1,2,3]=>[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,1,2,3,4]=>[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,1,2,4,3]=>[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[6,5,1,3,2,4]=>[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,5,1,3,4,2]=>[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,5,1,+,2,3]=>[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[6,5,1,-,2,3]=>[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[6,5,1,+,3,2]=>[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,1,-,3,2]=>[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,2,1,3,4]=>[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[6,5,2,3,1,4]=>[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,5,2,3,4,1]=>[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,5,2,+,1,3]=>[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[6,5,2,-,1,3]=>[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[6,5,2,+,3,1]=>[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,2,-,3,1]=>[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,+,1,2,4]=>[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,-,1,2,4]=>[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,+,1,4,2]=>[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,5,-,1,4,2]=>[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,5,+,2,1,4]=>[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,-,2,1,4]=>[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,+,2,4,1]=>[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,5,-,2,4,1]=>[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,5,+,+,1,2]=>[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,-,+,1,2]=>[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,+,-,1,2]=>[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,-,-,1,2]=>[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,+,+,2,1]=>[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,-,+,2,1]=>[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,+,-,2,1]=>[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,-,-,2,1]=>[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,4,1,2,3]=>[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
search for individual values
searching the database for the individual values of this statistic
Description
The acyclic chromatic index of a graph.
An acyclic edge coloring of a graph is a proper colouring of the edges of a graph such that the union of the edges colored with any two given colours is a forest.
The smallest number of colours such that such a colouring exists is the acyclic chromatic index.
An acyclic edge coloring of a graph is a proper colouring of the edges of a graph such that the union of the edges colored with any two given colours is a forest.
The smallest number of colours such that such a colouring exists is the acyclic chromatic index.
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
permutation
Description
The underlying permutation of the decorated permutation.
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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