Identifier
-
Mp00256:
Decorated permutations
—upper permutation⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
St000259: Graphs ⟶ ℤ
Values
=>
Cc0020;cc-rep
[+]=>[1]=>[1]=>([],1)=>0
[-]=>[1]=>[1]=>([],1)=>0
[+,+]=>[1,2]=>[2,1]=>([(0,1)],2)=>1
[+,-]=>[1,2]=>[2,1]=>([(0,1)],2)=>1
[-,-]=>[1,2]=>[2,1]=>([(0,1)],2)=>1
[+,+,+]=>[1,2,3]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>1
[+,-,+]=>[1,3,2]=>[2,3,1]=>([(0,2),(1,2)],3)=>2
[+,+,-]=>[1,2,3]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>1
[-,+,-]=>[2,1,3]=>[3,1,2]=>([(0,2),(1,2)],3)=>2
[+,-,-]=>[1,2,3]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>1
[-,-,-]=>[1,2,3]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>1
[+,3,2]=>[1,3,2]=>[2,3,1]=>([(0,2),(1,2)],3)=>2
[2,1,-]=>[2,1,3]=>[3,1,2]=>([(0,2),(1,2)],3)=>2
[+,+,+,+]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[+,-,+,+]=>[1,3,4,2]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,+,-,+]=>[1,2,4,3]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,+,+,-]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[-,+,-,+]=>[2,4,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>3
[-,+,+,-]=>[2,3,1,4]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,-,-,+]=>[1,4,2,3]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,-,+,-]=>[1,3,2,4]=>[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,+,-,-]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[-,-,+,-]=>[3,1,2,4]=>[4,2,1,3]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[-,+,-,-]=>[2,1,3,4]=>[4,3,1,2]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,-,-,-]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[-,-,-,-]=>[1,2,3,4]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>1
[+,+,4,3]=>[1,2,4,3]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
[-,+,4,3]=>[2,4,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>3
[+,-,4,3]=>[1,4,2,3]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,3,2,+]=>[1,3,4,2]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,3,2,-]=>[1,3,2,4]=>[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
[-,3,2,-]=>[3,1,2,4]=>[4,2,1,3]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,3,4,2]=>[1,4,2,3]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,4,2,3]=>[1,3,4,2]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,4,+,2]=>[1,3,4,2]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,4,-,2]=>[1,4,2,3]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[2,1,-,+]=>[2,4,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>3
[2,1,+,-]=>[2,3,1,4]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[2,1,-,-]=>[2,1,3,4]=>[4,3,1,2]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
[2,1,4,3]=>[2,4,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>3
[2,3,1,-]=>[3,1,2,4]=>[4,2,1,3]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[3,1,2,-]=>[2,3,1,4]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[3,1,4,2]=>[2,4,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>3
[3,+,1,-]=>[2,3,1,4]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[3,-,1,-]=>[3,1,2,4]=>[4,2,1,3]=>([(0,3),(1,2),(1,3),(2,3)],4)=>2
[3,+,4,1]=>[2,4,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>3
[4,1,-,2]=>[2,4,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>3
[4,+,-,1]=>[2,4,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>3
[+,+,+,+,+]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[+,-,+,+,+]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,-,+,+]=>[1,2,4,5,3]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,+,-,+]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,+,+,-]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[-,+,-,+,+]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[-,+,+,-,+]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[-,+,+,+,-]=>[2,3,4,1,5]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,-,-,+,+]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,-,+,-,+]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,-,+,+,-]=>[1,3,4,2,5]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,-,-,+]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,-,+,-]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,+,-,-]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[-,-,+,-,+]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[-,-,+,+,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[-,+,-,-,+]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[-,+,-,+,-]=>[2,4,1,3,5]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,+,+,-,-]=>[2,3,1,4,5]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,-,-,-,+]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,-,-,+,-]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,-,+,-,-]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,-,-,-]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[-,-,-,+,-]=>[4,1,2,3,5]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,-,+,-,-]=>[3,1,2,4,5]=>[5,4,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,+,-,-,-]=>[2,1,3,4,5]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,-,-,-,-]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[-,-,-,-,-]=>[1,2,3,4,5]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>1
[+,+,+,5,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,+,+,5,4]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[+,-,+,5,4]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,-,5,4]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,-,+,5,4]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[-,+,-,5,4]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[+,-,-,5,4]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,4,3,+]=>[1,2,4,5,3]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,+,4,3,+]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[+,-,4,3,+]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,+,4,3,-]=>[1,2,4,3,5]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,+,4,3,-]=>[2,4,1,3,5]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,-,4,3,-]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,-,4,3,-]=>[4,1,2,3,5]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,4,5,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,+,4,5,3]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[+,-,4,5,3]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,+,5,3,4]=>[1,2,4,5,3]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,+,5,3,4]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[+,-,5,3,4]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,+,5,+,3]=>[1,2,4,5,3]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,+,5,+,3]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[+,-,5,+,3]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,+,5,-,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,+,5,-,3]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[+,-,5,-,3]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,3,2,+,+]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,3,2,-,+]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,3,2,+,-]=>[1,3,4,2,5]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,3,2,-,+]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[-,3,2,+,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,3,2,-,-]=>[1,3,2,4,5]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,3,2,-,-]=>[3,1,2,4,5]=>[5,4,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,3,2,5,4]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,3,2,5,4]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[+,3,4,2,+]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,3,4,2,-]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,3,4,2,-]=>[4,1,2,3,5]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,3,4,5,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,3,5,2,4]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,3,5,+,2]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,3,5,-,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,4,2,3,+]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,4,2,3,-]=>[1,3,4,2,5]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,4,2,3,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,4,2,5,3]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,4,2,5,3]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[+,4,+,2,+]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,4,-,2,+]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,4,+,2,-]=>[1,3,4,2,5]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,4,+,2,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,4,-,2,-]=>[1,4,2,3,5]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,4,-,2,-]=>[4,1,2,3,5]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,4,+,5,2]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,4,+,5,2]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[+,4,-,5,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,4,5,2,3]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,4,5,3,2]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,5,2,3,4]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,5,2,+,3]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,5,2,-,3]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,5,2,-,3]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[+,5,+,2,4]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,5,-,2,4]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,5,+,+,2]=>[1,3,4,5,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,5,-,+,2]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,5,+,-,2]=>[1,3,5,2,4]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[-,5,+,-,2]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[+,5,-,-,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[+,5,4,2,3]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[+,5,4,3,2]=>[1,4,5,2,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[2,1,-,+,+]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[2,1,+,-,+]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[2,1,+,+,-]=>[2,3,4,1,5]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,1,-,-,+]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[2,1,-,+,-]=>[2,4,1,3,5]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,1,+,-,-]=>[2,3,1,4,5]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,1,-,-,-]=>[2,1,3,4,5]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,1,+,5,4]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[2,1,-,5,4]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[2,1,4,3,+]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[2,1,4,3,-]=>[2,4,1,3,5]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,1,4,5,3]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[2,1,5,3,4]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[2,1,5,+,3]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[2,1,5,-,3]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[2,3,1,-,+]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[2,3,1,+,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[2,3,1,-,-]=>[3,1,2,4,5]=>[5,4,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,3,1,5,4]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[2,3,4,1,-]=>[4,1,2,3,5]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,4,1,3,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[2,4,1,5,3]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[2,4,+,1,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[2,4,-,1,-]=>[4,1,2,3,5]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[2,4,+,5,1]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[2,5,1,-,3]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[2,5,+,-,1]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,1,2,-,+]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[3,1,2,+,-]=>[2,3,4,1,5]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,1,2,-,-]=>[2,3,1,4,5]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,1,2,5,4]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[3,1,4,2,+]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,1,4,2,-]=>[2,4,1,3,5]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,1,4,5,2]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[3,1,5,2,4]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,1,5,+,2]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,1,5,-,2]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[3,+,1,-,+]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[3,+,1,+,-]=>[2,3,4,1,5]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,-,1,-,+]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,-,1,+,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[3,+,1,-,-]=>[2,3,1,4,5]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,-,1,-,-]=>[3,1,2,4,5]=>[5,4,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,+,1,5,4]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[3,-,1,5,4]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,+,4,1,+]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,+,4,1,-]=>[2,4,1,3,5]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,-,4,1,-]=>[4,1,2,3,5]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[3,+,4,5,1]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[3,+,5,1,4]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,+,5,+,1]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,+,5,-,1]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[3,4,1,2,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[3,4,1,5,2]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,4,2,1,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[3,4,2,5,1]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,5,1,-,2]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[3,5,2,-,1]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,1,2,3,-]=>[2,3,4,1,5]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,1,2,5,3]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[4,1,-,2,+]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,1,+,2,-]=>[2,3,4,1,5]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,1,-,2,-]=>[2,4,1,3,5]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,1,+,5,2]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[4,1,-,5,2]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[4,1,5,2,3]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,1,5,3,2]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,+,1,3,-]=>[2,3,4,1,5]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,-,1,3,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[4,+,1,5,3]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[4,-,1,5,3]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,+,-,1,+]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,+,+,1,-]=>[2,3,4,1,5]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,-,+,1,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[4,+,-,1,-]=>[2,4,1,3,5]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,-,-,1,-]=>[4,1,2,3,5]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>2
[4,+,+,5,1]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[4,-,+,5,1]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,+,-,5,1]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[4,+,5,1,3]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,+,5,3,1]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,3,1,2,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[4,3,1,5,2]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[4,3,2,1,-]=>[3,4,1,2,5]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>2
[4,3,2,5,1]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,1,2,-,3]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,1,-,2,4]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,1,-,+,2]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,1,+,-,2]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,1,-,-,2]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,1,4,2,3]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,1,4,3,2]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,+,1,-,3]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,-,1,-,3]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,+,-,1,4]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,+,-,+,1]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,+,+,-,1]=>[2,3,5,1,4]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,-,+,-,1]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,+,-,-,1]=>[2,5,1,3,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>3
[5,+,4,1,3]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,+,4,3,1]=>[2,4,5,1,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,3,1,-,2]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[5,3,2,-,1]=>[3,5,1,2,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>3
[+,+,+,+,+,+]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[+,-,+,+,+,+]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,+,+,+]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,-,+,+]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,+,-,+]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,+,+,-]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[-,+,-,+,+,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,+,-,+,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,+,+,-,+]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,+,+,+,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,-,+,+,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,+,-,+,+]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,+,+,-,+]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,+,+,+,-]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,-,+,+]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,+,-,+]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,+,+,-]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,-,-,+]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,-,+,-]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,+,-,-]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[-,-,+,-,+,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[-,-,+,+,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[-,-,+,+,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,-,-,+,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[-,+,-,+,-,+]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,-,+,+,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,+,-,-,+]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,+,-,+,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,+,+,-,-]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,-,-,+,+]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,-,+,-,+]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,-,+,+,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,+,-,-,+]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,+,-,+,-]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,+,+,-,-]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,-,-,+]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,-,+,-]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,+,-,-]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,-,-,-]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[-,-,-,+,-,+]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,-,-,+,+,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,+,-,-,+]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,-,+,-,+,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,+,+,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,-,-,-,+]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,-,-,+,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,-,+,-,-]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,+,-,-,-]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,-,-,-,+]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,-,-,+,-]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,-,+,-,-]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,+,-,-,-]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,-,-,-]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[-,-,-,-,+,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,-,+,-,-]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,+,-,-,-]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,-,-,-,-]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,-,-,-,-]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[-,-,-,-,-,-]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>1
[+,+,+,+,6,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,+,+,6,5]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,+,+,6,5]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,+,6,5]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,-,6,5]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,+,+,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[-,+,-,+,6,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,+,-,6,5]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,-,+,6,5]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,+,-,6,5]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,-,6,5]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,-,+,6,5]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,-,+,-,6,5]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,-,-,6,5]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,-,-,6,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,5,4,+]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,+,5,4,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,+,5,4,+]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,5,4,+]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,5,4,-]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,+,5,4,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[-,+,-,5,4,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[-,+,+,5,4,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,-,5,4,+]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,+,5,4,-]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,5,4,-]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,+,5,4,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,-,5,4,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,-,5,4,-]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,-,5,4,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,5,6,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,+,5,6,4]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,+,5,6,4]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,5,6,4]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,+,5,6,4]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,-,5,6,4]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,-,5,6,4]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,6,4,5]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,+,6,4,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,+,6,4,5]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,6,4,5]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,+,6,4,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[-,+,-,6,4,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,-,-,6,4,5]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,6,+,4]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,+,6,+,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,+,6,+,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,6,+,4]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,+,6,-,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,+,6,+,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[-,+,-,6,+,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[-,+,+,6,-,4]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,-,6,+,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,+,6,-,4]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,-,6,-,4]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,+,6,-,4]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,-,6,-,4]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,-,6,-,4]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,4,3,+,+]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,4,3,+,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,4,3,+,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,4,3,-,+]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,4,3,+,-]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,4,3,-,+]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,4,3,+,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,4,3,-,+]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,4,3,+,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,4,3,-,-]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,4,3,-,+]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,-,4,3,+,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,4,3,-,-]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,4,3,-,-]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,4,3,-,-]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,4,3,6,5]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,4,3,6,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,4,3,6,5]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,4,3,6,5]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,+,4,5,3,+]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,4,5,3,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,-,4,5,3,+]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,4,5,3,-]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,4,5,3,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,4,5,3,-]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,4,5,3,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,4,5,6,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,4,5,6,3]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,4,5,6,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,4,6,3,5]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,4,6,3,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,-,4,6,3,5]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,4,6,+,3]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,4,6,+,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,-,4,6,+,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,4,6,-,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,4,6,-,3]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,4,6,-,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,5,3,4,+]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,5,3,4,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,5,3,4,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,5,3,4,-]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,5,3,4,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,5,3,4,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,5,3,4,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,5,3,6,4]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,5,3,6,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,5,3,6,4]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,5,3,6,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,+,5,+,3,+]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,5,+,3,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,5,+,3,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,5,-,3,+]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,5,+,3,-]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,5,-,3,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[-,+,5,+,3,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,5,-,3,+]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,5,+,3,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,5,-,3,-]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,5,+,3,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,5,-,3,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,5,-,3,-]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,5,-,3,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,5,+,6,3]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,5,+,6,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,5,+,6,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,5,-,6,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,5,+,6,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,5,-,6,3]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,5,-,6,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,5,6,3,4]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,5,6,3,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,-,5,6,3,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,5,6,4,3]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,5,6,4,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,-,5,6,4,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,6,3,4,5]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,6,3,4,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,3,4,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,6,3,+,4]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,6,3,+,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,3,+,4]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,6,3,-,4]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,6,3,-,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,3,-,4]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,6,3,-,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,+,6,+,3,5]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,6,+,3,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,+,3,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,6,-,3,5]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,6,-,3,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,-,3,5]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,6,+,+,3]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,6,+,+,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,+,+,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,6,-,+,3]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,6,+,-,3]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,6,-,+,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[-,+,6,+,-,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,-,+,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,-,6,+,-,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,6,-,-,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,-,6,+,-,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,6,-,-,3]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,-,-,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,6,5,3,4]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,6,5,3,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,5,3,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,+,6,5,4,3]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,+,6,5,4,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,5,4,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,2,+,+,+]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,2,-,+,+]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,2,+,-,+]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,2,+,+,-]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,-,+,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[-,3,2,+,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[-,3,2,+,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,2,-,-,+]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,2,-,+,-]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,2,+,-,-]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,-,-,+]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,3,2,-,+,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,+,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,2,-,-,-]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,-,-,-]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,2,+,6,5]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,+,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,3,2,-,6,5]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,-,6,5]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,3,2,5,4,+]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,5,4,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,3,2,5,4,-]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,5,4,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,2,5,6,4]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,5,6,4]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,3,2,6,4,5]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,6,4,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,3,2,6,+,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,6,+,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,3,2,6,-,4]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,2,6,-,4]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,3,4,2,+,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,4,2,-,+]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,4,2,+,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,4,2,-,+]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,3,4,2,+,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,4,2,-,-]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,4,2,-,-]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,4,2,6,5]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,4,2,6,5]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,3,4,5,2,+]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,4,5,2,-]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,4,5,2,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,4,5,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,4,6,2,5]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,4,6,+,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,4,6,-,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,5,2,4,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,5,2,4,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,5,2,4,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,5,2,6,4]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,5,2,6,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,3,5,+,2,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,5,-,2,+]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,5,+,2,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,5,+,2,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,5,-,2,-]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,5,-,2,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,5,+,6,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,5,+,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,3,5,-,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,5,6,2,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,5,6,4,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,6,2,4,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,6,2,+,4]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,6,2,-,4]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,6,2,-,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,3,6,+,2,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,6,-,2,5]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,6,+,+,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,6,-,+,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,6,+,-,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,3,6,+,-,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,3,6,-,-,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,6,5,2,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,3,6,5,4,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,2,3,+,+]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,2,3,-,+]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,2,3,+,-]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,2,3,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[-,4,2,3,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,2,3,-,-]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,2,3,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,2,3,6,5]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,2,3,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,4,2,5,3,+]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,2,5,3,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,4,2,5,3,-]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,2,5,3,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,2,5,6,3]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,2,5,6,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,2,6,3,5]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,2,6,3,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,4,2,6,+,3]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,2,6,+,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,4,2,6,-,3]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,2,6,-,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,+,2,+,+]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,-,2,+,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,+,2,-,+]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,+,2,+,-]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,+,2,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[-,4,+,2,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,-,2,-,+]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,-,2,+,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,+,2,-,-]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,-,2,-,+]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,4,-,2,+,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,+,2,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,-,2,-,-]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,-,2,-,-]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,+,2,6,5]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,+,2,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,4,-,2,6,5]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,-,2,6,5]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,+,5,2,+]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,+,5,2,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,4,-,5,2,+]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,+,5,2,-]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,+,5,2,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,-,5,2,-]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,-,5,2,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,+,5,6,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,+,5,6,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,-,5,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,+,6,2,5]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,+,6,2,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,4,-,6,2,5]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,+,6,+,2]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,+,6,+,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,4,-,6,+,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,+,6,-,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,+,6,-,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,-,6,-,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,5,2,3,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,5,2,3,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,5,2,3,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,5,2,6,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,5,2,6,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,5,3,2,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,5,3,2,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,5,3,2,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,5,3,6,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,5,3,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,5,6,2,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,5,6,3,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,6,2,3,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,6,2,+,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,6,2,-,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,6,2,-,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,6,3,2,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,6,3,+,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,6,3,-,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,4,6,3,-,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,4,6,5,2,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,4,6,5,3,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,2,3,4,+]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,2,3,4,-]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,2,3,4,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,2,3,6,4]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,2,3,6,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,5,2,+,3,+]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,2,-,3,+]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,2,+,3,-]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,2,-,3,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[-,5,2,+,3,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,2,-,3,-]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,2,-,3,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,2,+,6,3]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,2,+,6,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,5,2,-,6,3]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,2,-,6,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,5,2,6,3,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,2,6,3,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,5,2,6,4,3]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,2,6,4,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,5,+,2,4,+]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,-,2,4,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,+,2,4,-]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,+,2,4,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,-,2,4,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,-,2,4,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,+,2,6,4]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,+,2,6,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,5,-,2,6,4]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,-,2,6,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,5,+,+,2,+]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,-,+,2,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,+,-,2,+]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,+,+,2,-]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,+,-,2,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[-,5,+,+,2,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,-,-,2,+]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,-,+,2,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,+,-,2,-]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,-,+,2,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,+,-,2,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,-,-,2,-]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,-,-,2,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,+,+,6,2]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,+,+,6,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,5,-,+,6,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,+,-,6,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,-,+,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,5,+,-,6,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,5,-,-,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,+,6,2,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,+,6,2,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,5,-,6,2,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,+,6,4,2]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,+,6,4,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,5,-,6,4,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,4,2,3,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,4,2,3,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,4,2,3,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,4,2,6,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,4,2,6,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,5,4,3,2,+]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,4,3,2,-]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,4,3,2,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,4,3,6,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,5,4,3,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,5,4,6,2,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,4,6,3,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,6,2,3,4]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,6,2,4,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,6,3,2,4]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,6,3,4,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,6,+,2,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,6,-,2,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,6,+,3,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,5,6,-,3,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,2,3,4,5]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,2,3,+,4]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,2,3,-,4]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,2,3,-,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,6,2,+,3,5]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,2,-,3,5]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,2,-,3,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,6,2,+,+,3]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,2,-,+,3]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,2,+,-,3]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,2,-,+,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[-,6,2,+,-,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,6,2,-,-,3]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,2,-,-,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,2,5,3,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,2,5,3,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,6,2,5,4,3]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,2,5,4,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,6,+,2,4,5]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,-,2,4,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,+,2,+,4]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,-,2,+,4]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,+,2,-,4]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,+,2,-,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,6,-,2,-,4]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,-,2,-,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,+,+,2,5]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,-,+,2,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,+,-,2,5]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,+,-,2,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,6,-,-,2,5]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,+,+,+,2]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,-,+,+,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,+,-,+,2]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,+,+,-,2]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,+,-,+,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[-,6,+,+,-,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[+,6,-,-,+,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,-,+,-,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,+,-,-,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,-,+,-,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,6,+,-,-,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,-,-,-,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,+,5,2,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,+,5,2,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,6,-,5,2,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,+,5,4,2]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,+,5,4,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[+,6,-,5,4,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,4,2,3,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,4,2,+,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,4,2,-,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,4,2,-,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,4,3,2,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,4,3,+,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,4,3,-,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[-,6,4,3,-,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,6,4,5,2,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,4,5,3,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,5,2,3,4]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,5,2,4,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,5,3,2,4]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,5,3,4,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,5,+,2,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,5,-,2,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,5,+,3,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[+,6,5,-,3,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,-,+,+,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,-,+,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,+,-,+]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,+,+,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,-,-,+,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,-,+,-,+]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,-,+,+,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,+,-,-,+]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,-,+,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,+,+,-,-]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,-,-,-,+]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,-,-,+,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,-,+,-,-]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,+,-,-,-]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,-,-,-,-]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,+,+,6,5]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,-,+,6,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,-,6,5]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,-,-,6,5]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,5,4,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,-,5,4,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,5,4,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,-,5,4,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,+,5,6,4]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,-,5,6,4]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,6,4,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,-,6,4,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,6,+,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,-,6,+,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,+,6,-,4]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,-,6,-,4]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,4,3,+,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,4,3,-,+]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,4,3,+,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,4,3,-,-]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,4,3,6,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,4,5,3,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,4,5,3,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,4,5,6,3]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,4,6,3,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,4,6,+,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,4,6,-,3]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,5,3,4,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,5,3,4,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,5,3,6,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,5,+,3,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,5,-,3,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,5,+,3,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,5,-,3,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,1,5,+,6,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,5,-,6,3]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,5,6,3,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,5,6,4,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,3,4,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,3,+,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,3,-,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,+,3,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,-,3,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,+,+,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,-,+,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,+,-,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,-,-,3]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,5,3,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,1,6,5,4,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,3,1,-,+,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,3,1,+,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,3,1,+,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,1,-,-,+]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,1,-,+,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,1,+,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,1,-,-,-]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,1,+,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,3,1,-,6,5]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,1,5,4,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,3,1,5,4,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,1,5,6,4]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,1,6,4,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,3,1,6,+,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,3,1,6,-,4]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,4,1,-,+]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,4,1,+,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,4,1,-,-]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,4,1,6,5]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,4,5,1,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,5,1,4,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,5,1,6,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,5,+,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,5,-,1,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,3,5,+,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,6,1,-,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,6,+,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,1,3,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,4,1,3,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,1,3,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,1,3,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,4,1,5,3,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,4,1,5,3,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,1,5,6,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,1,6,3,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,4,1,6,+,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,4,1,6,-,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,+,1,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,4,+,1,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,-,1,-,+]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,-,1,+,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,+,1,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,-,1,-,-]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,+,1,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,4,-,1,6,5]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,+,5,1,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,4,+,5,1,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,-,5,1,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,+,5,6,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,+,6,1,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,4,+,6,+,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,4,+,6,-,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,5,1,3,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,5,1,6,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,5,3,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,4,5,3,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,6,1,-,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,6,3,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,5,1,3,4,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,1,3,6,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,5,1,-,3,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,5,1,+,3,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,1,-,3,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,1,+,6,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,5,1,-,6,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,5,1,6,3,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,5,1,6,4,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,5,+,1,4,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,-,1,4,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,+,1,6,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,5,-,1,6,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,5,+,-,1,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,5,+,+,1,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,-,+,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,+,-,1,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,-,-,1,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,+,+,6,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,5,-,+,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,5,+,-,6,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,5,+,6,1,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,5,+,6,4,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,5,4,1,3,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,4,1,6,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,5,4,3,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[2,5,4,3,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,1,3,-,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,6,1,-,3,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,6,1,-,+,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,6,1,+,-,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,6,1,-,-,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,1,5,3,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,6,1,5,4,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,6,+,1,-,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,6,-,1,-,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,+,-,1,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,6,+,-,+,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,6,+,+,-,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[2,6,-,+,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,+,-,-,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,+,5,1,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,6,+,5,4,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[2,6,4,1,-,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,6,4,3,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,-,+,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,+,-,+]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,+,+,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,-,-,+]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,-,+,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,+,-,-]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,-,-,-]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,+,6,5]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,-,6,5]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,5,4,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,5,4,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,2,5,6,4]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,6,4,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,6,+,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,2,6,-,4]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,4,2,+,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,4,2,-,+]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,4,2,+,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,4,2,-,-]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,4,2,6,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,4,5,2,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,4,5,2,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,4,6,2,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,4,6,+,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,4,6,-,2]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,2,4,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,2,4,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,5,2,6,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,+,2,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,-,2,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,+,2,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,5,-,2,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,1,5,+,6,2]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,-,6,2]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,6,2,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,5,6,4,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,2,4,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,2,+,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,2,-,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,+,2,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,-,2,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,+,+,2]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,-,+,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,+,-,2]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,-,-,2]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,5,2,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,1,6,5,4,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,1,-,+,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,1,+,-,+]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,1,+,+,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,1,-,+,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,-,1,+,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,-,1,+,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,1,-,-,+]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,1,-,+,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,1,+,-,-]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,1,-,-,+]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,1,-,+,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,1,+,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,1,-,-,-]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,1,-,-,-]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,1,+,6,5]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,1,+,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,1,-,6,5]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,1,-,6,5]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,1,5,4,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,1,5,4,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,+,1,5,4,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,1,5,4,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,1,5,6,4]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,1,5,6,4]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,1,6,4,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,1,6,4,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,+,1,6,+,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,1,6,+,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,+,1,6,-,4]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,1,6,-,4]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,4,1,+,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,4,1,-,+]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,4,1,+,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,4,1,-,+]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,4,1,+,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,4,1,-,-]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,4,1,-,-]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,4,1,6,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,4,1,6,5]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,4,5,1,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,4,5,1,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,4,5,1,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,4,5,6,1]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,4,6,1,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,4,6,+,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,4,6,-,1]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,5,1,4,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,5,1,4,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,5,1,4,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,5,1,6,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,5,1,6,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,5,+,1,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,5,-,1,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,5,+,1,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,5,+,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,5,-,1,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,-,5,-,1,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,+,5,+,6,1]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,5,+,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,5,-,6,1]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,5,6,1,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,5,6,4,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,1,4,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,1,+,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,1,-,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,6,1,-,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,+,1,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,-,1,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,+,+,1]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,-,+,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,+,-,1]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,-,6,+,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,-,-,1]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,5,1,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,+,6,5,4,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,4,1,2,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,4,1,2,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,1,2,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,1,2,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,4,1,5,2,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,4,1,5,2,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,4,1,6,2,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,4,1,6,+,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,4,1,6,-,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,4,2,1,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,4,2,1,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,2,1,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,2,1,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,4,2,5,1,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,4,2,5,1,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,2,5,6,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,4,2,6,1,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,4,2,6,+,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,4,2,6,-,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,4,5,1,2,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,4,5,2,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,4,5,2,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,4,6,1,-,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,4,6,2,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,5,1,2,4,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,1,2,6,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,5,1,-,2,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,5,1,+,2,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,1,-,2,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,1,+,6,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,5,1,-,6,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,5,1,6,2,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,5,1,6,4,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,5,2,1,4,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,2,1,6,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,5,2,-,1,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,5,2,+,1,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,2,-,1,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,2,+,6,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,5,2,-,6,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,5,2,6,1,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,5,2,6,4,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,5,4,1,2,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,4,1,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,5,4,2,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[3,5,4,2,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,6,1,2,-,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,6,1,-,2,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,6,1,-,+,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,6,1,+,-,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,6,1,-,-,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,6,1,5,2,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,6,1,5,4,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,6,2,1,-,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,6,2,-,1,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,6,2,-,+,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,6,2,+,-,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[3,6,2,-,-,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,6,2,5,1,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,6,2,5,4,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[3,6,4,1,-,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,6,4,2,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,2,3,-,+]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,2,3,+,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,2,3,-,-]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,2,3,6,5]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,2,5,3,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,2,5,3,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,2,5,6,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,2,6,3,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,2,6,+,3]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,2,6,-,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,-,2,+,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,+,2,-,+]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,+,2,+,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,-,2,-,+]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,-,2,+,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,+,2,-,-]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,-,2,-,-]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,+,2,6,5]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,-,2,6,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,+,5,2,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,-,5,2,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,1,+,5,2,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,-,5,2,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,+,5,6,2]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,-,5,6,2]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,+,6,2,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,-,6,2,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,1,+,6,+,2]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,-,6,+,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,1,+,6,-,2]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,-,6,-,2]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,5,2,3,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,5,2,3,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,5,3,2,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,5,3,2,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,1,5,3,6,2]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,5,6,2,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,1,5,6,3,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,1,6,2,3,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,6,2,+,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,6,2,-,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,6,3,2,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,6,3,+,2]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,6,3,-,2]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,1,6,5,2,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,1,6,5,3,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,+,1,3,-,+]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,1,3,+,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,1,3,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,-,1,3,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,1,3,-,-]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,1,3,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,1,3,6,5]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,1,3,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,+,1,5,3,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,1,5,3,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,+,1,5,3,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,1,5,3,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,1,5,6,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,1,5,6,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,1,6,3,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,1,6,3,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,+,1,6,+,3]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,1,6,+,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,+,1,6,-,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,1,6,-,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,-,1,+,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,+,1,-,+]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,+,1,+,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,+,1,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,-,+,1,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,-,1,-,+]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,-,1,+,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,+,1,-,-]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,-,1,-,+]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,-,1,+,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,+,1,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,-,1,-,-]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,-,1,-,-]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,+,1,6,5]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,+,1,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,+,-,1,6,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,-,1,6,5]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,+,5,1,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,+,5,1,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,+,-,5,1,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,+,+,5,1,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,+,5,1,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,-,5,1,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,-,5,1,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,+,5,6,1]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,+,5,6,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,-,5,6,1]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,+,6,1,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,+,6,1,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,+,-,6,1,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,+,+,6,+,1]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,+,6,+,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,+,-,6,+,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,+,+,6,-,1]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,+,6,-,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,-,6,-,1]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,5,1,3,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,5,1,3,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,5,1,3,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,5,1,6,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,5,1,6,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,5,3,1,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,5,3,1,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,-,5,3,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,+,5,3,6,1]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,5,3,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,5,6,1,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,+,5,6,3,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,+,6,1,3,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,6,1,+,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,6,1,-,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,6,1,-,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,6,3,1,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,6,3,+,1]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,6,3,-,1]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,6,3,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,6,5,1,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,+,6,5,3,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,3,1,2,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,3,1,2,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,1,2,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,1,2,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,3,1,5,2,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,3,1,5,2,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,1,5,6,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,3,1,6,2,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,3,1,6,+,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,3,1,6,-,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,3,2,1,-,+]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,3,2,1,+,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,2,1,-,-]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,2,1,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,3,2,5,1,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,3,2,5,1,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,2,5,6,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,3,2,6,1,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,3,2,6,+,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,3,2,6,-,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,3,5,1,2,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,5,1,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,3,5,2,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,3,5,2,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,3,6,1,-,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,3,6,2,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,5,1,2,3,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,1,3,2,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,1,3,6,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,1,6,2,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,5,1,6,3,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,5,2,1,3,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,2,1,6,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,2,3,1,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,2,3,6,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,2,6,1,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,5,2,6,3,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,5,+,1,2,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,-,1,2,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,+,1,6,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,-,1,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,5,+,2,1,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,-,2,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[4,5,+,2,6,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,5,-,2,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,5,+,6,1,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,5,+,6,2,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,6,1,2,-,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,6,1,3,-,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,6,1,5,2,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,6,1,5,3,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,6,2,1,-,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,6,2,3,-,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,6,2,5,1,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,6,2,5,3,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,6,+,1,-,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,6,-,1,-,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,6,+,2,-,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[4,6,-,2,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,6,+,5,1,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[4,6,+,5,2,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,1,2,3,4,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,2,3,6,4]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,-,3,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,+,3,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,2,-,3,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,2,+,6,3]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,-,6,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,6,3,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,2,6,4,3]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,-,2,4,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,+,2,4,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,-,2,4,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,+,2,6,4]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,-,2,6,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,-,+,2,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,+,-,2,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,+,+,2,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,-,-,2,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,1,-,+,2,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,+,-,2,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,-,-,2,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,+,+,6,2]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,-,+,6,2]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,+,-,6,2]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,-,-,6,2]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,+,6,2,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,-,6,2,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,1,+,6,4,2]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,-,6,4,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,1,4,2,3,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,4,2,3,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,4,2,6,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,4,3,2,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,4,3,2,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,1,4,3,6,2]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,4,6,2,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,1,4,6,3,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,1,6,2,3,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,6,2,4,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,6,3,2,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,6,3,4,2]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,6,+,2,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,6,-,2,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,1,6,+,3,2]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,6,-,3,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,3,4,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,1,3,4,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,1,3,6,4]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,1,3,6,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,-,3,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,+,3,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,1,-,3,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,-,1,+,3,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,1,-,3,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,1,-,3,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,1,+,6,3]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,1,+,6,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,-,6,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,1,-,6,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,6,3,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,1,6,3,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,+,1,6,4,3]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,1,6,4,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,+,-,1,4,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,+,1,4,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,+,1,4,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,-,1,4,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,-,1,4,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,+,1,6,4]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,+,1,6,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,-,1,6,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,-,1,6,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,-,+,1,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,+,-,1,+]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,+,+,1,-]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,+,-,1,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,-,+,+,1,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,-,-,1,+]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,-,+,1,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,+,-,1,-]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,-,+,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,+,-,1,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,-,-,1,-]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,-,-,1,-]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,+,+,6,1]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,+,+,6,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,-,+,6,1]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,+,-,6,1]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,-,+,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,+,-,6,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,-,-,6,1]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,+,6,1,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,+,6,1,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,+,-,6,1,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,+,6,4,1]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,+,6,4,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,+,-,6,4,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,4,1,3,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,4,1,3,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,4,1,3,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,4,1,6,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,4,1,6,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,4,3,1,+]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,4,3,1,-]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,-,4,3,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,+,4,3,6,1]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,4,3,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,4,6,1,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,4,6,3,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,6,1,3,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,6,1,4,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,6,3,1,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,6,3,4,1]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,6,+,1,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,6,-,1,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,+,6,+,3,1]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,6,-,3,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,3,1,2,4,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,1,2,6,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,3,1,-,2,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,3,1,+,2,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,1,-,2,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,1,+,6,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,3,1,-,6,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,1,6,2,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,3,1,6,4,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,3,2,1,4,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,2,1,6,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,3,2,-,1,+]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,3,2,+,1,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,2,-,1,-]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,2,+,6,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,3,2,-,6,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,2,6,1,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,3,2,6,4,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,3,4,1,2,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,4,1,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,4,2,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,3,4,2,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,1,2,3,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,1,2,6,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,1,3,2,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,1,3,6,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,1,6,2,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,4,1,6,3,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,4,2,1,3,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,2,1,6,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,3,1,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,2,3,6,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,2,6,1,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,4,2,6,3,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,4,+,1,2,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,-,1,2,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,+,1,6,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,-,1,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,+,2,1,-]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,-,2,1,-]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>2
[5,4,+,2,6,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[5,4,-,2,6,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,+,6,1,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,4,+,6,2,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,6,1,-,2,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,6,1,-,3,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,6,2,-,1,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,6,2,-,3,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,6,+,-,1,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[5,6,+,-,2,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,1,2,3,-,4]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,2,-,3,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,2,-,+,3]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,2,+,-,3]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,2,-,-,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,2,5,3,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,2,5,4,3]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,2,4,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,2,+,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,+,2,-,4]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,2,-,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,+,2,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,+,-,2,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,-,2,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,+,+,2]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,+,-,+,2]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,+,+,-,2]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,-,+,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,+,-,2]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,+,-,-,2]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,-,-,2]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,+,5,2,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,5,2,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,1,+,5,4,2]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,-,5,4,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,1,4,2,3,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,4,2,+,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,4,2,-,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,4,3,2,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,4,3,+,2]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,4,3,-,2]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,4,5,2,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,1,4,5,3,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,1,5,2,3,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,5,2,4,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,5,3,2,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,5,3,4,2]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,5,+,2,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,5,-,2,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,1,5,+,3,2]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,1,5,-,3,2]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,1,3,-,4]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,1,3,-,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,1,-,3,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,1,-,3,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,+,1,-,+,3]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,1,+,-,3]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,1,-,+,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,-,1,+,-,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,1,-,-,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,1,-,-,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,1,5,3,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,1,5,3,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,+,1,5,4,3]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,1,5,4,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,+,-,1,4,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,-,1,+,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,+,1,-,4]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,+,1,-,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,-,1,-,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,-,1,-,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,-,+,1,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,+,-,1,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,+,-,1,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,+,-,-,1,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,-,+,+,1]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,+,-,+,1]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,+,+,-,1]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,+,-,+,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,-,+,+,-,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,-,-,+,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,-,+,-,1]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,+,-,-,1]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,-,+,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,+,-,-,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,-,-,-,1]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,+,5,1,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,+,5,1,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,+,-,5,1,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,+,5,4,1]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,+,5,4,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,+,-,5,4,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,4,1,3,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,4,1,+,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,4,1,-,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,4,1,-,3]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,4,3,1,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,4,3,+,1]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,4,3,-,1]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,-,4,3,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,4,5,1,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,4,5,3,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,5,1,3,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,5,1,4,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,5,3,1,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,5,3,4,1]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,5,+,1,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,5,-,1,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,+,5,+,3,1]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,+,5,-,3,1]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,3,1,2,-,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,3,1,-,2,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,3,1,-,+,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,3,1,+,-,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,3,1,-,-,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,3,1,5,2,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,3,1,5,4,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,3,2,1,-,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,3,2,-,1,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,3,2,-,+,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,3,2,+,-,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,3,2,-,-,1]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,3,2,5,1,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,3,2,5,4,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,3,4,1,-,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,3,4,2,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,4,1,2,-,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,4,1,3,-,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,4,1,5,2,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,4,1,5,3,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,4,2,1,-,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,4,2,3,-,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,4,2,5,1,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,4,2,5,3,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,4,+,1,-,2]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,4,-,1,-,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,4,+,2,-,1]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>3
[6,4,-,2,-,1]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[6,4,+,5,1,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,4,+,5,2,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,5,1,-,2,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,5,1,-,3,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,5,2,-,1,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,5,2,-,3,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,5,+,-,1,2]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
[6,5,+,-,2,1]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>3
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Description
The diameter of a connected graph.
This is the greatest distance between any pair of vertices.
This is the greatest distance between any pair of vertices.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
upper permutation
Description
The upper bound in the Grassmann interval corresponding to the decorated permutation.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $v$.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $v$.
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