Identifier
-
Mp00253:
Decorated permutations
—permutation⟶
Permutations
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
St000777: Graphs ⟶ ℤ
Values
=>
Cc0020;cc-rep
[+]=>[1]=>[1]=>([],1)=>1
[-]=>[1]=>[1]=>([],1)=>1
[2,1]=>[2,1]=>[2,1]=>([(0,1)],2)=>2
[+,3,2]=>[1,3,2]=>[2,3,1]=>([(0,2),(1,2)],3)=>3
[-,3,2]=>[1,3,2]=>[2,3,1]=>([(0,2),(1,2)],3)=>3
[2,3,1]=>[2,3,1]=>[3,1,2]=>([(0,2),(1,2)],3)=>3
[3,+,1]=>[3,2,1]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>2
[3,-,1]=>[3,2,1]=>[3,2,1]=>([(0,1),(0,2),(1,2)],3)=>2
[+,+,4,3]=>[1,2,4,3]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>3
[-,+,4,3]=>[1,2,4,3]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>3
[+,-,4,3]=>[1,2,4,3]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>3
[-,-,4,3]=>[1,2,4,3]=>[2,3,4,1]=>([(0,3),(1,3),(2,3)],4)=>3
[+,3,4,2]=>[1,3,4,2]=>[2,4,1,3]=>([(0,3),(1,2),(2,3)],4)=>4
[-,3,4,2]=>[1,3,4,2]=>[2,4,1,3]=>([(0,3),(1,2),(2,3)],4)=>4
[+,4,+,2]=>[1,4,3,2]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>3
[-,4,+,2]=>[1,4,3,2]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>3
[+,4,-,2]=>[1,4,3,2]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>3
[-,4,-,2]=>[1,4,3,2]=>[3,4,2,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>3
[2,1,4,3]=>[2,1,4,3]=>[3,2,4,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>4
[2,3,4,1]=>[2,3,4,1]=>[4,1,2,3]=>([(0,3),(1,3),(2,3)],4)=>3
[2,4,+,1]=>[2,4,3,1]=>[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>3
[2,4,-,1]=>[2,4,3,1]=>[4,2,3,1]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>3
[3,1,4,2]=>[3,1,4,2]=>[3,4,1,2]=>([(0,2),(0,3),(1,2),(1,3)],4)=>3
[3,+,4,1]=>[3,2,4,1]=>[4,2,1,3]=>([(0,3),(1,2),(1,3),(2,3)],4)=>4
[3,-,4,1]=>[3,2,4,1]=>[4,2,1,3]=>([(0,3),(1,2),(1,3),(2,3)],4)=>4
[3,4,2,1]=>[3,4,2,1]=>[4,3,1,2]=>([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>3
[4,1,+,2]=>[4,1,3,2]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>4
[4,1,-,2]=>[4,1,3,2]=>[2,4,3,1]=>([(0,3),(1,2),(1,3),(2,3)],4)=>4
[4,+,1,3]=>[4,2,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>4
[4,-,1,3]=>[4,2,1,3]=>[3,1,4,2]=>([(0,3),(1,2),(2,3)],4)=>4
[4,+,+,1]=>[4,2,3,1]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>4
[4,-,+,1]=>[4,2,3,1]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>4
[4,+,-,1]=>[4,2,3,1]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>4
[4,-,-,1]=>[4,2,3,1]=>[4,1,3,2]=>([(0,3),(1,2),(1,3),(2,3)],4)=>4
[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>2
[+,+,+,5,4]=>[1,2,3,5,4]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>3
[-,+,+,5,4]=>[1,2,3,5,4]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>3
[+,-,+,5,4]=>[1,2,3,5,4]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>3
[+,+,-,5,4]=>[1,2,3,5,4]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>3
[-,-,+,5,4]=>[1,2,3,5,4]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>3
[-,+,-,5,4]=>[1,2,3,5,4]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>3
[+,-,-,5,4]=>[1,2,3,5,4]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>3
[-,-,-,5,4]=>[1,2,3,5,4]=>[2,3,4,5,1]=>([(0,4),(1,4),(2,4),(3,4)],5)=>3
[+,+,4,5,3]=>[1,2,4,5,3]=>[2,3,5,1,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[-,+,4,5,3]=>[1,2,4,5,3]=>[2,3,5,1,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[+,-,4,5,3]=>[1,2,4,5,3]=>[2,3,5,1,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[-,-,4,5,3]=>[1,2,4,5,3]=>[2,3,5,1,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[+,+,5,+,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[-,+,5,+,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[+,-,5,+,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[+,+,5,-,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[-,-,5,+,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[-,+,5,-,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[+,-,5,-,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[-,-,5,-,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[+,3,2,5,4]=>[1,3,2,5,4]=>[3,4,2,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[-,3,2,5,4]=>[1,3,2,5,4]=>[3,4,2,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[+,3,4,5,2]=>[1,3,4,5,2]=>[2,5,1,3,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[-,3,4,5,2]=>[1,3,4,5,2]=>[2,5,1,3,4]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[+,3,5,+,2]=>[1,3,5,4,2]=>[3,5,2,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[-,3,5,+,2]=>[1,3,5,4,2]=>[3,5,2,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[+,3,5,-,2]=>[1,3,5,4,2]=>[3,5,2,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[-,3,5,-,2]=>[1,3,5,4,2]=>[3,5,2,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[+,4,2,5,3]=>[1,4,2,5,3]=>[3,4,5,1,2]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>4
[-,4,2,5,3]=>[1,4,2,5,3]=>[3,4,5,1,2]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>4
[+,4,+,5,2]=>[1,4,3,5,2]=>[3,5,2,1,4]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>5
[-,4,+,5,2]=>[1,4,3,5,2]=>[3,5,2,1,4]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>5
[+,4,-,5,2]=>[1,4,3,5,2]=>[3,5,2,1,4]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>5
[-,4,-,5,2]=>[1,4,3,5,2]=>[3,5,2,1,4]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>5
[+,4,5,3,2]=>[1,4,5,3,2]=>[3,5,4,1,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>5
[-,4,5,3,2]=>[1,4,5,3,2]=>[3,5,4,1,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>5
[+,5,2,+,3]=>[1,5,2,4,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>4
[-,5,2,+,3]=>[1,5,2,4,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>4
[+,5,2,-,3]=>[1,5,2,4,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>4
[-,5,2,-,3]=>[1,5,2,4,3]=>[3,2,5,4,1]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>4
[+,5,+,2,4]=>[1,5,3,2,4]=>[3,4,1,5,2]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>5
[-,5,+,2,4]=>[1,5,3,2,4]=>[3,4,1,5,2]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>5
[+,5,-,2,4]=>[1,5,3,2,4]=>[3,4,1,5,2]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>5
[-,5,-,2,4]=>[1,5,3,2,4]=>[3,4,1,5,2]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>5
[+,5,+,+,2]=>[1,5,3,4,2]=>[3,5,1,4,2]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[-,5,+,+,2]=>[1,5,3,4,2]=>[3,5,1,4,2]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[+,5,-,+,2]=>[1,5,3,4,2]=>[3,5,1,4,2]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[+,5,+,-,2]=>[1,5,3,4,2]=>[3,5,1,4,2]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[-,5,-,+,2]=>[1,5,3,4,2]=>[3,5,1,4,2]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[-,5,+,-,2]=>[1,5,3,4,2]=>[3,5,1,4,2]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[+,5,-,-,2]=>[1,5,3,4,2]=>[3,5,1,4,2]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[-,5,-,-,2]=>[1,5,3,4,2]=>[3,5,1,4,2]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[+,5,4,2,3]=>[1,5,4,2,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>5
[-,5,4,2,3]=>[1,5,4,2,3]=>[3,1,5,4,2]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>5
[+,5,4,3,2]=>[1,5,4,3,2]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[-,5,4,3,2]=>[1,5,4,3,2]=>[4,5,3,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[2,1,+,5,4]=>[2,1,3,5,4]=>[3,2,4,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[2,1,-,5,4]=>[2,1,3,5,4]=>[3,2,4,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[2,1,4,5,3]=>[2,1,4,5,3]=>[3,2,5,1,4]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>5
[2,1,5,+,3]=>[2,1,5,4,3]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[2,1,5,-,3]=>[2,1,5,4,3]=>[4,3,5,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[2,3,1,5,4]=>[2,3,1,5,4]=>[4,2,3,5,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[2,3,4,5,1]=>[2,3,4,5,1]=>[5,1,2,3,4]=>([(0,4),(1,4),(2,4),(3,4)],5)=>3
[2,3,5,+,1]=>[2,3,5,4,1]=>[5,2,3,4,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[2,3,5,-,1]=>[2,3,5,4,1]=>[5,2,3,4,1]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[2,4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[2,4,+,5,1]=>[2,4,3,5,1]=>[5,2,3,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[2,4,-,5,1]=>[2,4,3,5,1]=>[5,2,3,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[2,4,5,3,1]=>[2,4,5,3,1]=>[5,2,4,1,3]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[2,5,1,+,3]=>[2,5,1,4,3]=>[2,4,5,3,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[2,5,1,-,3]=>[2,5,1,4,3]=>[2,4,5,3,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[2,5,+,1,4]=>[2,5,3,1,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>5
[2,5,-,1,4]=>[2,5,3,1,4]=>[4,2,1,5,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>5
[2,5,+,+,1]=>[2,5,3,4,1]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>4
[2,5,-,+,1]=>[2,5,3,4,1]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>4
[2,5,+,-,1]=>[2,5,3,4,1]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>4
[2,5,-,-,1]=>[2,5,3,4,1]=>[5,2,1,4,3]=>([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>4
[2,5,4,3,1]=>[2,5,4,3,1]=>[5,3,4,2,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[3,1,2,5,4]=>[3,1,2,5,4]=>[2,4,3,5,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,2,4]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>5
[3,1,5,2,4]=>[3,1,5,2,4]=>[3,1,4,5,2]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[3,1,5,+,2]=>[3,1,5,4,2]=>[4,5,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>3
[3,1,5,-,2]=>[3,1,5,4,2]=>[4,5,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>3
[3,+,1,5,4]=>[3,2,1,5,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,-,1,5,4]=>[3,2,1,5,4]=>[4,3,2,5,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,+,4,5,1]=>[3,2,4,5,1]=>[5,2,1,3,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,-,4,5,1]=>[3,2,4,5,1]=>[5,2,1,3,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,+,5,+,1]=>[3,2,5,4,1]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,-,5,+,1]=>[3,2,5,4,1]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,+,5,-,1]=>[3,2,5,4,1]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,-,5,-,1]=>[3,2,5,4,1]=>[5,3,2,4,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[3,4,1,5,2]=>[3,4,1,5,2]=>[4,5,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>4
[3,4,2,5,1]=>[3,4,2,5,1]=>[5,3,1,2,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[3,4,5,2,1]=>[3,4,5,2,1]=>[5,4,1,2,3]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[3,5,1,+,2]=>[3,5,1,4,2]=>[2,5,3,4,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[3,5,1,-,2]=>[3,5,1,4,2]=>[2,5,3,4,1]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[3,5,2,1,4]=>[3,5,2,1,4]=>[4,1,3,5,2]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[3,5,2,+,1]=>[3,5,2,4,1]=>[5,1,3,4,2]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[3,5,2,-,1]=>[3,5,2,4,1]=>[5,1,3,4,2]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[3,5,4,2,1]=>[3,5,4,2,1]=>[5,4,2,3,1]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[4,1,2,5,3]=>[4,1,2,5,3]=>[2,4,5,1,3]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>5
[4,1,+,5,2]=>[4,1,3,5,2]=>[2,5,3,1,4]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[4,1,-,5,2]=>[4,1,3,5,2]=>[2,5,3,1,4]=>([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
[4,1,5,2,3]=>[4,1,5,2,3]=>[3,1,5,2,4]=>([(0,4),(1,3),(2,3),(2,4)],5)=>5
[4,1,5,3,2]=>[4,1,5,3,2]=>[4,5,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>3
[4,+,1,5,3]=>[4,2,1,5,3]=>[4,3,5,1,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>5
[4,-,1,5,3]=>[4,2,1,5,3]=>[4,3,5,1,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>5
[4,+,+,5,1]=>[4,2,3,5,1]=>[5,1,3,2,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,-,+,5,1]=>[4,2,3,5,1]=>[5,1,3,2,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,+,-,5,1]=>[4,2,3,5,1]=>[5,1,3,2,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,-,-,5,1]=>[4,2,3,5,1]=>[5,1,3,2,4]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,+,5,3,1]=>[4,2,5,3,1]=>[5,3,4,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>3
[4,-,5,3,1]=>[4,2,5,3,1]=>[5,3,4,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>3
[4,3,1,5,2]=>[4,3,1,5,2]=>[4,5,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>5
[4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,2,1,4]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,3,5,2,1]=>[4,3,5,2,1]=>[5,4,2,1,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[4,5,1,3,2]=>[4,5,1,3,2]=>[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>5
[4,5,2,1,3]=>[4,5,2,1,3]=>[4,1,5,2,3]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>5
[4,5,2,3,1]=>[4,5,2,3,1]=>[5,1,4,2,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
[4,5,+,2,1]=>[4,5,3,2,1]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[4,5,-,2,1]=>[4,5,3,2,1]=>[5,4,3,1,2]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>3
[5,1,2,+,3]=>[5,1,2,4,3]=>[2,3,5,4,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,1,2,-,3]=>[5,1,2,4,3]=>[2,3,5,4,1]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,1,+,2,4]=>[5,1,3,2,4]=>[2,4,1,5,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>5
[5,1,-,2,4]=>[5,1,3,2,4]=>[2,4,1,5,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>5
[5,1,+,+,2]=>[5,1,3,4,2]=>[2,5,1,4,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>5
[5,1,-,+,2]=>[5,1,3,4,2]=>[2,5,1,4,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>5
[5,1,+,-,2]=>[5,1,3,4,2]=>[2,5,1,4,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>5
[5,1,-,-,2]=>[5,1,3,4,2]=>[2,5,1,4,3]=>([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>5
[5,1,4,3,2]=>[5,1,4,3,2]=>[3,5,4,2,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,+,1,+,3]=>[5,2,1,4,3]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[5,-,1,+,3]=>[5,2,1,4,3]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[5,+,1,-,3]=>[5,2,1,4,3]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[5,-,1,-,3]=>[5,2,1,4,3]=>[4,2,5,3,1]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[5,+,+,1,4]=>[5,2,3,1,4]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[5,-,+,1,4]=>[5,2,3,1,4]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[5,+,-,1,4]=>[5,2,3,1,4]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[5,-,-,1,4]=>[5,2,3,1,4]=>[4,1,2,5,3]=>([(0,4),(1,4),(2,3),(3,4)],5)=>5
[5,+,+,+,1]=>[5,2,3,4,1]=>[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,-,+,+,1]=>[5,2,3,4,1]=>[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,+,-,+,1]=>[5,2,3,4,1]=>[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,+,+,-,1]=>[5,2,3,4,1]=>[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,-,-,+,1]=>[5,2,3,4,1]=>[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,-,+,-,1]=>[5,2,3,4,1]=>[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,+,-,-,1]=>[5,2,3,4,1]=>[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,-,-,-,1]=>[5,2,3,4,1]=>[5,1,2,4,3]=>([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,+,4,3,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,-,4,3,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,3,1,+,2]=>[5,3,1,4,2]=>[4,5,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>5
[5,3,1,-,2]=>[5,3,1,4,2]=>[4,5,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>5
[5,3,2,1,4]=>[5,3,2,1,4]=>[4,3,1,5,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>5
[5,3,2,+,1]=>[5,3,2,4,1]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[5,3,2,-,1]=>[5,3,2,4,1]=>[5,3,1,4,2]=>([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
[5,3,4,2,1]=>[5,3,4,2,1]=>[5,4,1,3,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,4,1,3,2]=>[5,4,1,3,2]=>[2,5,4,3,1]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,4,2,1,3]=>[5,4,2,1,3]=>[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>5
[5,4,2,3,1]=>[5,4,2,3,1]=>[5,1,4,3,2]=>([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
[5,4,+,2,1]=>[5,4,3,2,1]=>[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)=>2
[5,4,-,2,1]=>[5,4,3,2,1]=>[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)=>2
[+,+,+,+,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[-,+,+,+,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[+,-,+,+,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[+,+,-,+,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[+,+,+,-,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[-,-,+,+,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[-,+,-,+,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[-,+,+,-,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[+,-,-,+,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[+,-,+,-,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[+,+,-,-,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[-,-,-,+,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[-,-,+,-,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[-,+,-,-,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[+,-,-,-,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[-,-,-,-,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[+,+,+,5,6,4]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[-,+,+,5,6,4]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[+,-,+,5,6,4]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[+,+,-,5,6,4]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[-,-,+,5,6,4]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[-,+,-,5,6,4]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[+,-,-,5,6,4]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[-,-,-,5,6,4]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[+,+,+,6,+,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,+,6,+,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,+,6,+,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,+,-,6,+,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,+,+,6,-,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,-,+,6,+,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,-,6,+,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,+,6,-,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,-,6,+,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,+,6,-,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,+,-,6,-,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,-,-,6,+,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,-,+,6,-,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,-,6,-,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,-,6,-,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,-,-,6,-,4]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,+,4,3,6,5]=>[1,2,4,3,6,5]=>[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,+,4,3,6,5]=>[1,2,4,3,6,5]=>[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,-,4,3,6,5]=>[1,2,4,3,6,5]=>[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,-,4,3,6,5]=>[1,2,4,3,6,5]=>[3,4,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,+,4,5,6,3]=>[1,2,4,5,6,3]=>[2,3,6,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>5
[-,+,4,5,6,3]=>[1,2,4,5,6,3]=>[2,3,6,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>5
[+,-,4,5,6,3]=>[1,2,4,5,6,3]=>[2,3,6,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>5
[-,-,4,5,6,3]=>[1,2,4,5,6,3]=>[2,3,6,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>5
[+,+,4,6,+,3]=>[1,2,4,6,5,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,+,4,6,+,3]=>[1,2,4,6,5,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,-,4,6,+,3]=>[1,2,4,6,5,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,+,4,6,-,3]=>[1,2,4,6,5,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,-,4,6,+,3]=>[1,2,4,6,5,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,+,4,6,-,3]=>[1,2,4,6,5,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,-,4,6,-,3]=>[1,2,4,6,5,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,-,4,6,-,3]=>[1,2,4,6,5,3]=>[3,4,6,2,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,+,5,3,6,4]=>[1,2,5,3,6,4]=>[3,4,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[-,+,5,3,6,4]=>[1,2,5,3,6,4]=>[3,4,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[+,-,5,3,6,4]=>[1,2,5,3,6,4]=>[3,4,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[-,-,5,3,6,4]=>[1,2,5,3,6,4]=>[3,4,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[+,+,5,+,6,3]=>[1,2,5,4,6,3]=>[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,+,5,+,6,3]=>[1,2,5,4,6,3]=>[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,-,5,+,6,3]=>[1,2,5,4,6,3]=>[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,+,5,-,6,3]=>[1,2,5,4,6,3]=>[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,-,5,+,6,3]=>[1,2,5,4,6,3]=>[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,+,5,-,6,3]=>[1,2,5,4,6,3]=>[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,-,5,-,6,3]=>[1,2,5,4,6,3]=>[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,-,5,-,6,3]=>[1,2,5,4,6,3]=>[3,4,6,2,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,+,5,6,4,3]=>[1,2,5,6,4,3]=>[3,4,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[-,+,5,6,4,3]=>[1,2,5,6,4,3]=>[3,4,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[+,-,5,6,4,3]=>[1,2,5,6,4,3]=>[3,4,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[-,-,5,6,4,3]=>[1,2,5,6,4,3]=>[3,4,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[+,+,6,3,+,4]=>[1,2,6,3,5,4]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,+,6,3,+,4]=>[1,2,6,3,5,4]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,-,6,3,+,4]=>[1,2,6,3,5,4]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,+,6,3,-,4]=>[1,2,6,3,5,4]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,-,6,3,+,4]=>[1,2,6,3,5,4]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,+,6,3,-,4]=>[1,2,6,3,5,4]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,-,6,3,-,4]=>[1,2,6,3,5,4]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,-,6,3,-,4]=>[1,2,6,3,5,4]=>[3,4,2,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,+,6,+,3,5]=>[1,2,6,4,3,5]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[-,+,6,+,3,5]=>[1,2,6,4,3,5]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[+,-,6,+,3,5]=>[1,2,6,4,3,5]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[+,+,6,-,3,5]=>[1,2,6,4,3,5]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[-,-,6,+,3,5]=>[1,2,6,4,3,5]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[-,+,6,-,3,5]=>[1,2,6,4,3,5]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[+,-,6,-,3,5]=>[1,2,6,4,3,5]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[-,-,6,-,3,5]=>[1,2,6,4,3,5]=>[3,4,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[+,+,6,+,+,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[-,+,6,+,+,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[+,-,6,+,+,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[+,+,6,-,+,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[+,+,6,+,-,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[-,-,6,+,+,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[-,+,6,-,+,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[-,+,6,+,-,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[+,-,6,-,+,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[+,-,6,+,-,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[+,+,6,-,-,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[-,-,6,-,+,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[-,-,6,+,-,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[-,+,6,-,-,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[+,-,6,-,-,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[-,-,6,-,-,3]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[+,+,6,5,3,4]=>[1,2,6,5,3,4]=>[3,4,1,6,5,2]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,+,6,5,3,4]=>[1,2,6,5,3,4]=>[3,4,1,6,5,2]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,-,6,5,3,4]=>[1,2,6,5,3,4]=>[3,4,1,6,5,2]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,-,6,5,3,4]=>[1,2,6,5,3,4]=>[3,4,1,6,5,2]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,+,6,5,4,3]=>[1,2,6,5,4,3]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,+,6,5,4,3]=>[1,2,6,5,4,3]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,-,6,5,4,3]=>[1,2,6,5,4,3]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[-,-,6,5,4,3]=>[1,2,6,5,4,3]=>[4,5,6,3,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[+,3,2,+,6,5]=>[1,3,2,4,6,5]=>[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,3,2,+,6,5]=>[1,3,2,4,6,5]=>[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,3,2,-,6,5]=>[1,3,2,4,6,5]=>[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,3,2,-,6,5]=>[1,3,2,4,6,5]=>[3,4,2,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,3,2,5,6,4]=>[1,3,2,5,6,4]=>[3,4,2,6,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[-,3,2,5,6,4]=>[1,3,2,5,6,4]=>[3,4,2,6,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[+,3,2,6,+,4]=>[1,3,2,6,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,3,2,6,+,4]=>[1,3,2,6,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,3,2,6,-,4]=>[1,3,2,6,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,3,2,6,-,4]=>[1,3,2,6,5,4]=>[4,5,3,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,3,4,2,6,5]=>[1,3,4,2,6,5]=>[3,5,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,3,4,2,6,5]=>[1,3,4,2,6,5]=>[3,5,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,3,4,5,6,2]=>[1,3,4,5,6,2]=>[2,6,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[-,3,4,5,6,2]=>[1,3,4,5,6,2]=>[2,6,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[+,3,4,6,+,2]=>[1,3,4,6,5,2]=>[3,6,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,3,4,6,+,2]=>[1,3,4,6,5,2]=>[3,6,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,3,4,6,-,2]=>[1,3,4,6,5,2]=>[3,6,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,3,4,6,-,2]=>[1,3,4,6,5,2]=>[3,6,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,3,5,2,6,4]=>[1,3,5,2,6,4]=>[3,5,2,6,1,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,3,5,2,6,4]=>[1,3,5,2,6,4]=>[3,5,2,6,1,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,3,5,+,6,2]=>[1,3,5,4,6,2]=>[3,6,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,3,5,+,6,2]=>[1,3,5,4,6,2]=>[3,6,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,3,5,-,6,2]=>[1,3,5,4,6,2]=>[3,6,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,3,5,-,6,2]=>[1,3,5,4,6,2]=>[3,6,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,3,5,6,4,2]=>[1,3,5,6,4,2]=>[3,6,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,3,5,6,4,2]=>[1,3,5,6,4,2]=>[3,6,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,3,6,2,+,4]=>[1,3,6,2,5,4]=>[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,3,6,2,+,4]=>[1,3,6,2,5,4]=>[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,3,6,2,-,4]=>[1,3,6,2,5,4]=>[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,3,6,2,-,4]=>[1,3,6,2,5,4]=>[3,2,5,6,4,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,3,6,+,2,5]=>[1,3,6,4,2,5]=>[3,5,2,1,6,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[-,3,6,+,2,5]=>[1,3,6,4,2,5]=>[3,5,2,1,6,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[+,3,6,-,2,5]=>[1,3,6,4,2,5]=>[3,5,2,1,6,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[-,3,6,-,2,5]=>[1,3,6,4,2,5]=>[3,5,2,1,6,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[+,3,6,+,+,2]=>[1,3,6,4,5,2]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,3,6,+,+,2]=>[1,3,6,4,5,2]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,3,6,-,+,2]=>[1,3,6,4,5,2]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,3,6,+,-,2]=>[1,3,6,4,5,2]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,3,6,-,+,2]=>[1,3,6,4,5,2]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,3,6,+,-,2]=>[1,3,6,4,5,2]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,3,6,-,-,2]=>[1,3,6,4,5,2]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,3,6,-,-,2]=>[1,3,6,4,5,2]=>[3,6,2,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,3,6,5,2,4]=>[1,3,6,5,2,4]=>[3,1,5,6,4,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[-,3,6,5,2,4]=>[1,3,6,5,2,4]=>[3,1,5,6,4,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[+,3,6,5,4,2]=>[1,3,6,5,4,2]=>[4,6,3,5,2,1]=>([(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)=>5
[-,3,6,5,4,2]=>[1,3,6,5,4,2]=>[4,6,3,5,2,1]=>([(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)=>5
[+,4,2,3,6,5]=>[1,4,2,3,6,5]=>[3,2,5,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[-,4,2,3,6,5]=>[1,4,2,3,6,5]=>[3,2,5,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[+,4,2,5,6,3]=>[1,4,2,5,6,3]=>[3,4,6,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5
[-,4,2,5,6,3]=>[1,4,2,5,6,3]=>[3,4,6,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5
[+,4,2,6,3,5]=>[1,4,2,6,3,5]=>[3,4,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>6
[-,4,2,6,3,5]=>[1,4,2,6,3,5]=>[3,4,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>6
[+,4,2,6,+,3]=>[1,4,2,6,5,3]=>[4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[-,4,2,6,+,3]=>[1,4,2,6,5,3]=>[4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[+,4,2,6,-,3]=>[1,4,2,6,5,3]=>[4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[-,4,2,6,-,3]=>[1,4,2,6,5,3]=>[4,5,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[+,4,+,2,6,5]=>[1,4,3,2,6,5]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,4,+,2,6,5]=>[1,4,3,2,6,5]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,4,-,2,6,5]=>[1,4,3,2,6,5]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,4,-,2,6,5]=>[1,4,3,2,6,5]=>[4,5,3,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,4,+,5,6,2]=>[1,4,3,5,6,2]=>[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,4,+,5,6,2]=>[1,4,3,5,6,2]=>[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,4,-,5,6,2]=>[1,4,3,5,6,2]=>[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,4,-,5,6,2]=>[1,4,3,5,6,2]=>[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,4,+,6,2,5]=>[1,4,3,6,2,5]=>[3,1,5,4,6,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[-,4,+,6,2,5]=>[1,4,3,6,2,5]=>[3,1,5,4,6,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[+,4,-,6,2,5]=>[1,4,3,6,2,5]=>[3,1,5,4,6,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[-,4,-,6,2,5]=>[1,4,3,6,2,5]=>[3,1,5,4,6,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[+,4,+,6,+,2]=>[1,4,3,6,5,2]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,4,+,6,+,2]=>[1,4,3,6,5,2]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,4,-,6,+,2]=>[1,4,3,6,5,2]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,4,+,6,-,2]=>[1,4,3,6,5,2]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,4,-,6,+,2]=>[1,4,3,6,5,2]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,4,+,6,-,2]=>[1,4,3,6,5,2]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,4,-,6,-,2]=>[1,4,3,6,5,2]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,4,-,6,-,2]=>[1,4,3,6,5,2]=>[4,6,3,2,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,4,5,2,6,3]=>[1,4,5,2,6,3]=>[3,5,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[-,4,5,2,6,3]=>[1,4,5,2,6,3]=>[3,5,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[+,4,5,3,6,2]=>[1,4,5,3,6,2]=>[3,6,4,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[-,4,5,3,6,2]=>[1,4,5,3,6,2]=>[3,6,4,1,2,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[+,4,5,6,3,2]=>[1,4,5,6,3,2]=>[3,6,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,4,5,6,3,2]=>[1,4,5,6,3,2]=>[3,6,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,4,6,2,+,3]=>[1,4,6,2,5,3]=>[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,4,6,2,+,3]=>[1,4,6,2,5,3]=>[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,4,6,2,-,3]=>[1,4,6,2,5,3]=>[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,4,6,2,-,3]=>[1,4,6,2,5,3]=>[3,2,6,4,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,4,6,3,2,5]=>[1,4,6,3,2,5]=>[3,5,1,4,6,2]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,4,6,3,2,5]=>[1,4,6,3,2,5]=>[3,5,1,4,6,2]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,4,6,3,+,2]=>[1,4,6,3,5,2]=>[3,6,1,4,5,2]=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,4,6,3,+,2]=>[1,4,6,3,5,2]=>[3,6,1,4,5,2]=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,4,6,3,-,2]=>[1,4,6,3,5,2]=>[3,6,1,4,5,2]=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,4,6,3,-,2]=>[1,4,6,3,5,2]=>[3,6,1,4,5,2]=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,4,6,5,2,3]=>[1,4,6,5,2,3]=>[3,1,6,4,5,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[-,4,6,5,2,3]=>[1,4,6,5,2,3]=>[3,1,6,4,5,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[+,4,6,5,3,2]=>[1,4,6,5,3,2]=>[4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[-,4,6,5,3,2]=>[1,4,6,5,3,2]=>[4,6,5,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[+,5,2,3,6,4]=>[1,5,2,3,6,4]=>[3,2,5,6,1,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,5,2,3,6,4]=>[1,5,2,3,6,4]=>[3,2,5,6,1,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,5,2,+,6,3]=>[1,5,2,4,6,3]=>[3,2,6,4,1,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,5,2,+,6,3]=>[1,5,2,4,6,3]=>[3,2,6,4,1,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,5,2,-,6,3]=>[1,5,2,4,6,3]=>[3,2,6,4,1,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,5,2,-,6,3]=>[1,5,2,4,6,3]=>[3,2,6,4,1,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,5,2,6,3,4]=>[1,5,2,6,3,4]=>[3,4,1,6,2,5]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[-,5,2,6,3,4]=>[1,5,2,6,3,4]=>[3,4,1,6,2,5]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[+,5,2,6,4,3]=>[1,5,2,6,4,3]=>[4,5,6,3,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[-,5,2,6,4,3]=>[1,5,2,6,4,3]=>[4,5,6,3,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[+,5,+,2,6,4]=>[1,5,3,2,6,4]=>[4,5,3,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[-,5,+,2,6,4]=>[1,5,3,2,6,4]=>[4,5,3,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[+,5,-,2,6,4]=>[1,5,3,2,6,4]=>[4,5,3,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[-,5,-,2,6,4]=>[1,5,3,2,6,4]=>[4,5,3,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[+,5,+,+,6,2]=>[1,5,3,4,6,2]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,5,+,+,6,2]=>[1,5,3,4,6,2]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,5,-,+,6,2]=>[1,5,3,4,6,2]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,5,+,-,6,2]=>[1,5,3,4,6,2]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,5,-,+,6,2]=>[1,5,3,4,6,2]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,5,+,-,6,2]=>[1,5,3,4,6,2]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,5,-,-,6,2]=>[1,5,3,4,6,2]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,5,-,-,6,2]=>[1,5,3,4,6,2]=>[3,6,1,4,2,5]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,5,+,6,2,4]=>[1,5,3,6,2,4]=>[3,1,5,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[-,5,+,6,2,4]=>[1,5,3,6,2,4]=>[3,1,5,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[+,5,-,6,2,4]=>[1,5,3,6,2,4]=>[3,1,5,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[-,5,-,6,2,4]=>[1,5,3,6,2,4]=>[3,1,5,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[+,5,+,6,4,2]=>[1,5,3,6,4,2]=>[4,6,3,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[-,5,+,6,4,2]=>[1,5,3,6,4,2]=>[4,6,3,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[+,5,-,6,4,2]=>[1,5,3,6,4,2]=>[4,6,3,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[-,5,-,6,4,2]=>[1,5,3,6,4,2]=>[4,6,3,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[+,5,4,2,6,3]=>[1,5,4,2,6,3]=>[4,5,6,2,1,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,5,4,2,6,3]=>[1,5,4,2,6,3]=>[4,5,6,2,1,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,5,4,3,6,2]=>[1,5,4,3,6,2]=>[4,6,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,5,4,3,6,2]=>[1,5,4,3,6,2]=>[4,6,3,2,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,5,4,6,2,3]=>[1,5,4,6,2,3]=>[3,1,6,4,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,5,4,6,2,3]=>[1,5,4,6,2,3]=>[3,1,6,4,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,5,4,6,3,2]=>[1,5,4,6,3,2]=>[4,6,5,2,1,3]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,5,4,6,3,2]=>[1,5,4,6,3,2]=>[4,6,5,2,1,3]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,5,6,2,4,3]=>[1,5,6,2,4,3]=>[3,2,6,5,1,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,5,6,2,4,3]=>[1,5,6,2,4,3]=>[3,2,6,5,1,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,5,6,3,2,4]=>[1,5,6,3,2,4]=>[3,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>5
[-,5,6,3,2,4]=>[1,5,6,3,2,4]=>[3,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>5
[+,5,6,3,4,2]=>[1,5,6,3,4,2]=>[3,6,1,5,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,5,6,3,4,2]=>[1,5,6,3,4,2]=>[3,6,1,5,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,5,6,+,2,3]=>[1,5,6,4,2,3]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[-,5,6,+,2,3]=>[1,5,6,4,2,3]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[+,5,6,-,2,3]=>[1,5,6,4,2,3]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[-,5,6,-,2,3]=>[1,5,6,4,2,3]=>[3,1,6,5,2,4]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[+,5,6,+,3,2]=>[1,5,6,4,3,2]=>[4,6,5,3,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[-,5,6,+,3,2]=>[1,5,6,4,3,2]=>[4,6,5,3,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[+,5,6,-,3,2]=>[1,5,6,4,3,2]=>[4,6,5,3,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[-,5,6,-,3,2]=>[1,5,6,4,3,2]=>[4,6,5,3,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[+,6,2,3,+,4]=>[1,6,2,3,5,4]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[-,6,2,3,+,4]=>[1,6,2,3,5,4]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[+,6,2,3,-,4]=>[1,6,2,3,5,4]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[-,6,2,3,-,4]=>[1,6,2,3,5,4]=>[3,2,4,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[+,6,2,+,3,5]=>[1,6,2,4,3,5]=>[3,2,5,1,6,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>6
[-,6,2,+,3,5]=>[1,6,2,4,3,5]=>[3,2,5,1,6,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>6
[+,6,2,-,3,5]=>[1,6,2,4,3,5]=>[3,2,5,1,6,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>6
[-,6,2,-,3,5]=>[1,6,2,4,3,5]=>[3,2,5,1,6,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>6
[+,6,2,+,+,3]=>[1,6,2,4,5,3]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
[-,6,2,+,+,3]=>[1,6,2,4,5,3]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
[+,6,2,-,+,3]=>[1,6,2,4,5,3]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
[+,6,2,+,-,3]=>[1,6,2,4,5,3]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
[-,6,2,-,+,3]=>[1,6,2,4,5,3]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
[-,6,2,+,-,3]=>[1,6,2,4,5,3]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
[+,6,2,-,-,3]=>[1,6,2,4,5,3]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
[-,6,2,-,-,3]=>[1,6,2,4,5,3]=>[3,2,6,1,5,4]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
[+,6,2,5,4,3]=>[1,6,2,5,4,3]=>[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)=>4
[-,6,2,5,4,3]=>[1,6,2,5,4,3]=>[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)=>4
[+,6,+,2,+,4]=>[1,6,3,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,6,+,2,+,4]=>[1,6,3,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,6,-,2,+,4]=>[1,6,3,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,6,+,2,-,4]=>[1,6,3,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,6,-,2,+,4]=>[1,6,3,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,6,+,2,-,4]=>[1,6,3,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,6,-,2,-,4]=>[1,6,3,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,6,-,2,-,4]=>[1,6,3,2,5,4]=>[4,5,2,6,3,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,6,+,+,2,5]=>[1,6,3,4,2,5]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[-,6,+,+,2,5]=>[1,6,3,4,2,5]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[+,6,-,+,2,5]=>[1,6,3,4,2,5]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[+,6,+,-,2,5]=>[1,6,3,4,2,5]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[-,6,-,+,2,5]=>[1,6,3,4,2,5]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[-,6,+,-,2,5]=>[1,6,3,4,2,5]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[+,6,-,-,2,5]=>[1,6,3,4,2,5]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[-,6,-,-,2,5]=>[1,6,3,4,2,5]=>[3,5,1,2,6,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[+,6,+,+,+,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,6,+,+,+,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,6,-,+,+,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,6,+,-,+,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,6,+,+,-,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,6,-,+,+,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,6,+,-,+,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,6,+,+,-,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,6,-,-,+,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,6,-,+,-,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,6,+,-,-,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,6,-,-,+,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,6,-,+,-,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,6,+,-,-,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,6,-,-,-,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[-,6,-,-,-,2]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[+,6,+,5,2,4]=>[1,6,3,5,2,4]=>[3,1,4,6,5,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[-,6,+,5,2,4]=>[1,6,3,5,2,4]=>[3,1,4,6,5,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[+,6,-,5,2,4]=>[1,6,3,5,2,4]=>[3,1,4,6,5,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[-,6,-,5,2,4]=>[1,6,3,5,2,4]=>[3,1,4,6,5,2]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[+,6,+,5,4,2]=>[1,6,3,5,4,2]=>[4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,6,+,5,4,2]=>[1,6,3,5,4,2]=>[4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,6,-,5,4,2]=>[1,6,3,5,4,2]=>[4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,6,-,5,4,2]=>[1,6,3,5,4,2]=>[4,6,2,5,3,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,6,4,2,3,5]=>[1,6,4,2,3,5]=>[3,1,5,2,6,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>6
[-,6,4,2,3,5]=>[1,6,4,2,3,5]=>[3,1,5,2,6,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>6
[+,6,4,2,+,3]=>[1,6,4,2,5,3]=>[4,5,6,1,3,2]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,4,2,+,3]=>[1,6,4,2,5,3]=>[4,5,6,1,3,2]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,4,2,-,3]=>[1,6,4,2,5,3]=>[4,5,6,1,3,2]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,4,2,-,3]=>[1,6,4,2,5,3]=>[4,5,6,1,3,2]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,4,3,2,5]=>[1,6,4,3,2,5]=>[4,5,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[-,6,4,3,2,5]=>[1,6,4,3,2,5]=>[4,5,3,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[+,6,4,3,+,2]=>[1,6,4,3,5,2]=>[4,6,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,6,4,3,+,2]=>[1,6,4,3,5,2]=>[4,6,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,6,4,3,-,2]=>[1,6,4,3,5,2]=>[4,6,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,6,4,3,-,2]=>[1,6,4,3,5,2]=>[4,6,3,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,6,4,5,2,3]=>[1,6,4,5,2,3]=>[3,1,6,2,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>6
[-,6,4,5,2,3]=>[1,6,4,5,2,3]=>[3,1,6,2,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>6
[+,6,4,5,3,2]=>[1,6,4,5,3,2]=>[4,6,5,1,3,2]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[-,6,4,5,3,2]=>[1,6,4,5,3,2]=>[4,6,5,1,3,2]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[+,6,5,2,4,3]=>[1,6,5,2,4,3]=>[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)=>6
[-,6,5,2,4,3]=>[1,6,5,2,4,3]=>[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)=>6
[+,6,5,3,2,4]=>[1,6,5,3,2,4]=>[4,5,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[-,6,5,3,2,4]=>[1,6,5,3,2,4]=>[4,5,1,6,3,2]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[+,6,5,3,4,2]=>[1,6,5,3,4,2]=>[4,6,1,5,3,2]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[-,6,5,3,4,2]=>[1,6,5,3,4,2]=>[4,6,1,5,3,2]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[+,6,5,+,2,3]=>[1,6,5,4,2,3]=>[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)=>4
[-,6,5,+,2,3]=>[1,6,5,4,2,3]=>[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)=>4
[+,6,5,-,2,3]=>[1,6,5,4,2,3]=>[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)=>4
[-,6,5,-,2,3]=>[1,6,5,4,2,3]=>[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)=>4
[+,6,5,+,3,2]=>[1,6,5,4,3,2]=>[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)=>3
[-,6,5,+,3,2]=>[1,6,5,4,3,2]=>[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)=>3
[+,6,5,-,3,2]=>[1,6,5,4,3,2]=>[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)=>3
[-,6,5,-,3,2]=>[1,6,5,4,3,2]=>[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)=>3
[2,1,+,+,6,5]=>[2,1,3,4,6,5]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,1,-,+,6,5]=>[2,1,3,4,6,5]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,1,+,-,6,5]=>[2,1,3,4,6,5]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,1,-,-,6,5]=>[2,1,3,4,6,5]=>[3,2,4,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,1,+,5,6,4]=>[2,1,3,5,6,4]=>[3,2,4,6,1,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[2,1,-,5,6,4]=>[2,1,3,5,6,4]=>[3,2,4,6,1,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[2,1,+,6,+,4]=>[2,1,3,6,5,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,1,-,6,+,4]=>[2,1,3,6,5,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,1,+,6,-,4]=>[2,1,3,6,5,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,1,-,6,-,4]=>[2,1,3,6,5,4]=>[4,3,5,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[4,3,5,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,1,4,5,6,3]=>[2,1,4,5,6,3]=>[3,2,6,1,4,5]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>6
[2,1,4,6,+,3]=>[2,1,4,6,5,3]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,1,4,6,-,3]=>[2,1,4,6,5,3]=>[4,3,6,2,5,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,1,5,3,6,4]=>[2,1,5,3,6,4]=>[4,3,5,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[2,1,5,+,6,3]=>[2,1,5,4,6,3]=>[4,3,6,2,1,5]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,1,5,-,6,3]=>[2,1,5,4,6,3]=>[4,3,6,2,1,5]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[2,1,5,6,4,3]=>[2,1,5,6,4,3]=>[4,3,6,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[2,1,6,3,+,4]=>[2,1,6,3,5,4]=>[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)=>5
[2,1,6,3,-,4]=>[2,1,6,3,5,4]=>[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)=>5
[2,1,6,+,3,5]=>[2,1,6,4,3,5]=>[4,3,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[2,1,6,-,3,5]=>[2,1,6,4,3,5]=>[4,3,5,1,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[2,1,6,+,+,3]=>[2,1,6,4,5,3]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[2,1,6,-,+,3]=>[2,1,6,4,5,3]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[2,1,6,+,-,3]=>[2,1,6,4,5,3]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[2,1,6,-,-,3]=>[2,1,6,4,5,3]=>[4,3,6,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[2,1,6,5,3,4]=>[2,1,6,5,3,4]=>[4,3,1,6,5,2]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[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)=>4
[2,3,1,+,6,5]=>[2,3,1,4,6,5]=>[4,2,3,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,3,1,-,6,5]=>[2,3,1,4,6,5]=>[4,2,3,5,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,3,1,5,6,4]=>[2,3,1,5,6,4]=>[4,2,3,6,1,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[2,3,1,6,+,4]=>[2,3,1,6,5,4]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,3,1,6,-,4]=>[2,3,1,6,5,4]=>[5,3,4,6,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,3,4,1,6,5]=>[2,3,4,1,6,5]=>[5,2,3,4,6,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>3
[2,3,4,6,+,1]=>[2,3,4,6,5,1]=>[6,2,3,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,4,6,-,1]=>[2,3,4,6,5,1]=>[6,2,3,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,3,5,1,6,4]=>[2,3,5,1,6,4]=>[5,2,3,6,1,4]=>([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,3,5,+,6,1]=>[2,3,5,4,6,1]=>[6,2,3,4,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,3,5,-,6,1]=>[2,3,5,4,6,1]=>[6,2,3,4,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,3,5,6,4,1]=>[2,3,5,6,4,1]=>[6,2,3,5,1,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,3,6,1,+,4]=>[2,3,6,1,5,4]=>[2,4,5,6,3,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,3,6,1,-,4]=>[2,3,6,1,5,4]=>[2,4,5,6,3,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,3,6,+,1,5]=>[2,3,6,4,1,5]=>[5,2,3,1,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[2,3,6,-,1,5]=>[2,3,6,4,1,5]=>[5,2,3,1,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[2,3,6,+,+,1]=>[2,3,6,4,5,1]=>[6,2,3,1,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,3,6,-,+,1]=>[2,3,6,4,5,1]=>[6,2,3,1,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,3,6,+,-,1]=>[2,3,6,4,5,1]=>[6,2,3,1,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,3,6,-,-,1]=>[2,3,6,4,5,1]=>[6,2,3,1,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,3,6,5,4,1]=>[2,3,6,5,4,1]=>[6,3,4,5,2,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[2,4,1,3,6,5]=>[2,4,1,3,6,5]=>[2,4,5,3,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,4,1,5,6,3]=>[2,4,1,5,6,3]=>[4,2,6,1,3,5]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>5
[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[4,2,1,5,6,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>6
[2,4,1,6,+,3]=>[2,4,1,6,5,3]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,4,1,6,-,3]=>[2,4,1,6,5,3]=>[5,3,6,2,4,1]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,4,+,1,6,5]=>[2,4,3,1,6,5]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,4,-,1,6,5]=>[2,4,3,1,6,5]=>[5,3,4,2,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,4,+,5,6,1]=>[2,4,3,5,6,1]=>[6,2,3,1,4,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,4,-,5,6,1]=>[2,4,3,5,6,1]=>[6,2,3,1,4,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,4,+,6,+,1]=>[2,4,3,6,5,1]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,4,-,6,+,1]=>[2,4,3,6,5,1]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,4,+,6,-,1]=>[2,4,3,6,5,1]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,4,-,6,-,1]=>[2,4,3,6,5,1]=>[6,3,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,4,5,1,6,3]=>[2,4,5,1,6,3]=>[5,2,6,1,3,4]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[2,4,5,3,6,1]=>[2,4,5,3,6,1]=>[6,2,4,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,4,5,6,3,1]=>[2,4,5,6,3,1]=>[6,2,5,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,4,6,1,+,3]=>[2,4,6,1,5,3]=>[2,4,6,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,4,6,1,-,3]=>[2,4,6,1,5,3]=>[2,4,6,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,4,6,3,1,5]=>[2,4,6,3,1,5]=>[5,2,1,4,6,3]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,4,6,3,+,1]=>[2,4,6,3,5,1]=>[6,2,1,4,5,3]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,4,6,3,-,1]=>[2,4,6,3,5,1]=>[6,2,1,4,5,3]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,4,6,5,3,1]=>[2,4,6,5,3,1]=>[6,3,5,2,4,1]=>([(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)=>5
[2,5,1,3,6,4]=>[2,5,1,3,6,4]=>[2,4,5,6,1,3]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[2,5,1,+,6,3]=>[2,5,1,4,6,3]=>[2,4,6,3,1,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,5,1,-,6,3]=>[2,5,1,4,6,3]=>[2,4,6,3,1,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[4,2,1,6,3,5]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>6
[2,5,1,6,4,3]=>[2,5,1,6,4,3]=>[5,3,6,4,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[2,5,+,1,6,4]=>[2,5,3,1,6,4]=>[5,3,4,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[2,5,-,1,6,4]=>[2,5,3,1,6,4]=>[5,3,4,6,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[2,5,+,+,6,1]=>[2,5,3,4,6,1]=>[6,2,1,4,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,5,-,+,6,1]=>[2,5,3,4,6,1]=>[6,2,1,4,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,5,+,-,6,1]=>[2,5,3,4,6,1]=>[6,2,1,4,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,5,-,-,6,1]=>[2,5,3,4,6,1]=>[6,2,1,4,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,5,+,6,4,1]=>[2,5,3,6,4,1]=>[6,3,4,5,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[2,5,-,6,4,1]=>[2,5,3,6,4,1]=>[6,3,4,5,1,2]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[2,5,4,1,6,3]=>[2,5,4,1,6,3]=>[5,3,6,2,1,4]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[2,5,4,3,6,1]=>[2,5,4,3,6,1]=>[6,3,4,2,1,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,5,4,6,3,1]=>[2,5,4,6,3,1]=>[6,3,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,5,6,1,4,3]=>[2,5,6,1,4,3]=>[2,4,6,5,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[2,5,6,3,1,4]=>[2,5,6,3,1,4]=>[5,2,1,6,3,4]=>([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>5
[2,5,6,3,4,1]=>[2,5,6,3,4,1]=>[6,2,1,5,3,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,5,6,+,3,1]=>[2,5,6,4,3,1]=>[6,3,5,4,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[2,5,6,-,3,1]=>[2,5,6,4,3,1]=>[6,3,5,4,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[2,6,1,3,+,4]=>[2,6,1,3,5,4]=>[2,4,3,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,6,1,3,-,4]=>[2,6,1,3,5,4]=>[2,4,3,6,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,6,1,+,3,5]=>[2,6,1,4,3,5]=>[2,4,5,1,6,3]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>6
[2,6,1,-,3,5]=>[2,6,1,4,3,5]=>[2,4,5,1,6,3]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>6
[2,6,1,+,+,3]=>[2,6,1,4,5,3]=>[2,4,6,1,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>5
[2,6,1,-,+,3]=>[2,6,1,4,5,3]=>[2,4,6,1,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>5
[2,6,1,+,-,3]=>[2,6,1,4,5,3]=>[2,4,6,1,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>5
[2,6,1,-,-,3]=>[2,6,1,4,5,3]=>[2,4,6,1,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>5
[2,6,1,5,3,4]=>[2,6,1,5,3,4]=>[2,4,1,6,5,3]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>6
[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[3,5,6,4,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,6,+,1,+,4]=>[2,6,3,1,5,4]=>[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)=>6
[2,6,-,1,+,4]=>[2,6,3,1,5,4]=>[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)=>6
[2,6,+,1,-,4]=>[2,6,3,1,5,4]=>[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)=>6
[2,6,-,1,-,4]=>[2,6,3,1,5,4]=>[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)=>6
[2,6,+,+,1,5]=>[2,6,3,4,1,5]=>[5,2,1,3,6,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[2,6,-,+,1,5]=>[2,6,3,4,1,5]=>[5,2,1,3,6,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[2,6,+,-,1,5]=>[2,6,3,4,1,5]=>[5,2,1,3,6,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[2,6,-,-,1,5]=>[2,6,3,4,1,5]=>[5,2,1,3,6,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[2,6,+,+,+,1]=>[2,6,3,4,5,1]=>[6,2,1,3,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,6,-,+,+,1]=>[2,6,3,4,5,1]=>[6,2,1,3,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,6,+,-,+,1]=>[2,6,3,4,5,1]=>[6,2,1,3,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,6,+,+,-,1]=>[2,6,3,4,5,1]=>[6,2,1,3,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,6,-,-,+,1]=>[2,6,3,4,5,1]=>[6,2,1,3,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,6,-,+,-,1]=>[2,6,3,4,5,1]=>[6,2,1,3,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,6,+,-,-,1]=>[2,6,3,4,5,1]=>[6,2,1,3,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,6,-,-,-,1]=>[2,6,3,4,5,1]=>[6,2,1,3,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[2,6,+,5,4,1]=>[2,6,3,5,4,1]=>[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)=>4
[2,6,-,5,4,1]=>[2,6,3,5,4,1]=>[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)=>4
[2,6,4,1,+,3]=>[2,6,4,1,5,3]=>[5,3,6,1,4,2]=>([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,6,4,1,-,3]=>[2,6,4,1,5,3]=>[5,3,6,1,4,2]=>([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,6,4,3,1,5]=>[2,6,4,3,1,5]=>[5,3,4,1,6,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,6,4,3,+,1]=>[2,6,4,3,5,1]=>[6,3,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,6,4,3,-,1]=>[2,6,4,3,5,1]=>[6,3,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,6,4,5,3,1]=>[2,6,4,5,3,1]=>[6,3,5,1,4,2]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[2,5,6,4,3,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[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)=>6
[2,6,5,3,4,1]=>[2,6,5,3,4,1]=>[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)=>6
[2,6,5,+,3,1]=>[2,6,5,4,3,1]=>[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)=>3
[2,6,5,-,3,1]=>[2,6,5,4,3,1]=>[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)=>3
[3,1,2,+,6,5]=>[3,1,2,4,6,5]=>[2,4,3,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,1,2,-,6,5]=>[3,1,2,4,6,5]=>[2,4,3,5,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,1,2,5,6,4]=>[3,1,2,5,6,4]=>[2,4,3,6,1,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[3,1,2,6,+,4]=>[3,1,2,6,5,4]=>[3,5,4,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,1,2,6,-,4]=>[3,1,2,6,5,4]=>[3,5,4,6,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,1,4,2,6,5]=>[3,1,4,2,6,5]=>[4,5,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[3,1,4,5,6,2]=>[3,1,4,5,6,2]=>[3,6,1,2,4,5]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>6
[3,1,4,6,2,5]=>[3,1,4,6,2,5]=>[3,1,4,5,6,2]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[3,1,4,6,+,2]=>[3,1,4,6,5,2]=>[4,6,2,3,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,1,4,6,-,2]=>[3,1,4,6,5,2]=>[4,6,2,3,5,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,1,5,2,6,4]=>[3,1,5,2,6,4]=>[4,5,2,6,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[3,1,5,+,6,2]=>[3,1,5,4,6,2]=>[4,6,2,3,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,1,5,-,6,2]=>[3,1,5,4,6,2]=>[4,6,2,3,1,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,1,5,6,2,4]=>[3,1,5,6,2,4]=>[3,1,4,6,2,5]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>6
[3,1,5,6,4,2]=>[3,1,5,6,4,2]=>[4,6,2,5,1,3]=>([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,1,6,2,+,4]=>[3,1,6,2,5,4]=>[4,2,5,6,3,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,1,6,2,-,4]=>[3,1,6,2,5,4]=>[4,2,5,6,3,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,1,6,+,2,5]=>[3,1,6,4,2,5]=>[4,5,2,1,6,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4
[3,1,6,-,2,5]=>[3,1,6,4,2,5]=>[4,5,2,1,6,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4
[3,1,6,+,+,2]=>[3,1,6,4,5,2]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[3,1,6,-,+,2]=>[3,1,6,4,5,2]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[3,1,6,+,-,2]=>[3,1,6,4,5,2]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[3,1,6,-,-,2]=>[3,1,6,4,5,2]=>[4,6,2,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[3,1,6,5,2,4]=>[3,1,6,5,2,4]=>[4,1,5,6,3,2]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[5,6,3,4,2,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,+,1,+,6,5]=>[3,2,1,4,6,5]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,-,1,+,6,5]=>[3,2,1,4,6,5]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,+,1,-,6,5]=>[3,2,1,4,6,5]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,-,1,-,6,5]=>[3,2,1,4,6,5]=>[4,3,2,5,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,+,1,5,6,4]=>[3,2,1,5,6,4]=>[4,3,2,6,1,5]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,-,1,5,6,4]=>[3,2,1,5,6,4]=>[4,3,2,6,1,5]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,+,1,6,+,4]=>[3,2,1,6,5,4]=>[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)=>4
[3,-,1,6,+,4]=>[3,2,1,6,5,4]=>[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)=>4
[3,+,1,6,-,4]=>[3,2,1,6,5,4]=>[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)=>4
[3,-,1,6,-,4]=>[3,2,1,6,5,4]=>[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)=>4
[3,+,4,1,6,5]=>[3,2,4,1,6,5]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,-,4,1,6,5]=>[3,2,4,1,6,5]=>[5,3,2,4,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,+,4,5,6,1]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,-,4,5,6,1]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,+,4,6,+,1]=>[3,2,4,6,5,1]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,-,4,6,+,1]=>[3,2,4,6,5,1]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,+,4,6,-,1]=>[3,2,4,6,5,1]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,-,4,6,-,1]=>[3,2,4,6,5,1]=>[6,3,2,4,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[3,+,5,1,6,4]=>[3,2,5,1,6,4]=>[5,3,2,6,1,4]=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,-,5,1,6,4]=>[3,2,5,1,6,4]=>[5,3,2,6,1,4]=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,+,5,+,6,1]=>[3,2,5,4,6,1]=>[6,3,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,-,5,+,6,1]=>[3,2,5,4,6,1]=>[6,3,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,+,5,-,6,1]=>[3,2,5,4,6,1]=>[6,3,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,-,5,-,6,1]=>[3,2,5,4,6,1]=>[6,3,2,4,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,+,5,6,4,1]=>[3,2,5,6,4,1]=>[6,3,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,-,5,6,4,1]=>[3,2,5,6,4,1]=>[6,3,2,5,1,4]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,+,6,1,+,4]=>[3,2,6,1,5,4]=>[2,5,4,6,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,-,6,1,+,4]=>[3,2,6,1,5,4]=>[2,5,4,6,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,+,6,1,-,4]=>[3,2,6,1,5,4]=>[2,5,4,6,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,-,6,1,-,4]=>[3,2,6,1,5,4]=>[2,5,4,6,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,+,6,+,1,5]=>[3,2,6,4,1,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,-,6,+,1,5]=>[3,2,6,4,1,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,+,6,-,1,5]=>[3,2,6,4,1,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,-,6,-,1,5]=>[3,2,6,4,1,5]=>[5,3,2,1,6,4]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,+,6,+,+,1]=>[3,2,6,4,5,1]=>[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)=>5
[3,-,6,+,+,1]=>[3,2,6,4,5,1]=>[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)=>5
[3,+,6,-,+,1]=>[3,2,6,4,5,1]=>[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)=>5
[3,+,6,+,-,1]=>[3,2,6,4,5,1]=>[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)=>5
[3,-,6,-,+,1]=>[3,2,6,4,5,1]=>[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)=>5
[3,-,6,+,-,1]=>[3,2,6,4,5,1]=>[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)=>5
[3,+,6,-,-,1]=>[3,2,6,4,5,1]=>[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)=>5
[3,-,6,-,-,1]=>[3,2,6,4,5,1]=>[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)=>5
[3,+,6,5,4,1]=>[3,2,6,5,4,1]=>[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)=>4
[3,-,6,5,4,1]=>[3,2,6,5,4,1]=>[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)=>4
[3,4,1,2,6,5]=>[3,4,1,2,6,5]=>[2,5,3,4,6,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,1,5,6,2]=>[3,4,1,5,6,2]=>[4,6,1,2,3,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[4,1,3,5,6,2]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[3,4,1,6,+,2]=>[3,4,1,6,5,2]=>[5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[3,4,1,6,-,2]=>[3,4,1,6,5,2]=>[5,6,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[3,4,2,1,6,5]=>[3,4,2,1,6,5]=>[5,4,2,3,6,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,2,6,+,1]=>[3,4,2,6,5,1]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,2,6,-,1]=>[3,4,2,6,5,1]=>[6,4,2,3,5,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,5,1,6,2]=>[3,4,5,1,6,2]=>[5,6,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,4,6,1,+,2]=>[3,4,6,1,5,2]=>[2,6,3,4,5,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,6,1,-,2]=>[3,4,6,1,5,2]=>[2,6,3,4,5,1]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,6,2,1,5]=>[3,4,6,2,1,5]=>[5,1,3,4,6,2]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,4,6,2,+,1]=>[3,4,6,2,5,1]=>[6,1,3,4,5,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,6,2,-,1]=>[3,4,6,2,5,1]=>[6,1,3,4,5,2]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,4,6,5,2,1]=>[3,4,6,5,2,1]=>[6,5,2,3,4,1]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[3,5,1,2,6,4]=>[3,5,1,2,6,4]=>[2,5,3,6,1,4]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[3,5,1,+,6,2]=>[3,5,1,4,6,2]=>[2,6,3,4,1,5]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,5,1,-,6,2]=>[3,5,1,4,6,2]=>[2,6,3,4,1,5]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[4,1,3,6,2,5]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,5,1,6,4,2]=>[3,5,1,6,4,2]=>[5,6,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[3,5,2,1,6,4]=>[3,5,2,1,6,4]=>[5,4,2,6,1,3]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[3,5,2,+,6,1]=>[3,5,2,4,6,1]=>[6,1,3,4,2,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,5,2,-,6,1]=>[3,5,2,4,6,1]=>[6,1,3,4,2,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,5,2,6,4,1]=>[3,5,2,6,4,1]=>[6,4,2,5,1,3]=>([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,5,4,1,6,2]=>[3,5,4,1,6,2]=>[5,6,2,3,1,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[3,5,4,2,6,1]=>[3,5,4,2,6,1]=>[6,4,2,3,1,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,5,4,6,2,1]=>[3,5,4,6,2,1]=>[6,5,2,3,1,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,5,6,1,4,2]=>[3,5,6,1,4,2]=>[2,6,3,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[3,5,6,2,1,4]=>[3,5,6,2,1,4]=>[5,1,3,6,2,4]=>([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[3,5,6,2,4,1]=>[3,5,6,2,4,1]=>[6,1,3,5,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,5,6,+,2,1]=>[3,5,6,4,2,1]=>[6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,5,6,-,2,1]=>[3,5,6,4,2,1]=>[6,5,2,4,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,6,1,2,+,4]=>[3,6,1,2,5,4]=>[2,3,5,6,4,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,6,1,2,-,4]=>[3,6,1,2,5,4]=>[2,3,5,6,4,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,6,1,+,2,5]=>[3,6,1,4,2,5]=>[2,5,3,1,6,4]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,6,1,-,2,5]=>[3,6,1,4,2,5]=>[2,5,3,1,6,4]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,6,1,+,+,2]=>[3,6,1,4,5,2]=>[2,6,3,1,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,6,1,-,+,2]=>[3,6,1,4,5,2]=>[2,6,3,1,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,6,1,+,-,2]=>[3,6,1,4,5,2]=>[2,6,3,1,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,6,1,-,-,2]=>[3,6,1,4,5,2]=>[2,6,3,1,5,4]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[3,6,4,5,2,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,6,2,1,+,4]=>[3,6,2,1,5,4]=>[5,2,4,6,3,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,6,2,1,-,4]=>[3,6,2,1,5,4]=>[5,2,4,6,3,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,6,2,+,1,5]=>[3,6,2,4,1,5]=>[5,1,3,2,6,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[3,6,2,-,1,5]=>[3,6,2,4,1,5]=>[5,1,3,2,6,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[3,6,2,+,+,1]=>[3,6,2,4,5,1]=>[6,1,3,2,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[3,6,2,-,+,1]=>[3,6,2,4,5,1]=>[6,1,3,2,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[3,6,2,+,-,1]=>[3,6,2,4,5,1]=>[6,1,3,2,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[3,6,2,-,-,1]=>[3,6,2,4,5,1]=>[6,1,3,2,5,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[6,2,4,5,3,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,6,4,1,+,2]=>[3,6,4,1,5,2]=>[5,6,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[3,6,4,1,-,2]=>[3,6,4,1,5,2]=>[5,6,2,1,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[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)=>4
[3,6,4,2,+,1]=>[3,6,4,2,5,1]=>[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)=>6
[3,6,4,2,-,1]=>[3,6,4,2,5,1]=>[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)=>6
[3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[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)=>4
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[2,6,4,5,3,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[5,1,4,6,3,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[6,1,4,5,3,2]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[3,6,5,+,2,1]=>[3,6,5,4,2,1]=>[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)=>3
[3,6,5,-,2,1]=>[3,6,5,4,2,1]=>[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)=>3
[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[2,3,5,4,6,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,1,2,5,6,3]=>[4,1,2,5,6,3]=>[2,4,6,1,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>6
[4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[2,4,1,5,6,3]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>6
[4,1,2,6,+,3]=>[4,1,2,6,5,3]=>[3,5,6,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,2,6,-,3]=>[4,1,2,6,5,3]=>[3,5,6,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,+,2,6,5]=>[4,1,3,2,6,5]=>[3,5,4,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,-,2,6,5]=>[4,1,3,2,6,5]=>[3,5,4,2,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,+,5,6,2]=>[4,1,3,5,6,2]=>[2,6,3,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[4,1,-,5,6,2]=>[4,1,3,5,6,2]=>[2,6,3,1,4,5]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[4,1,+,6,+,2]=>[4,1,3,6,5,2]=>[3,6,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,-,6,+,2]=>[4,1,3,6,5,2]=>[3,6,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,+,6,-,2]=>[4,1,3,6,5,2]=>[3,6,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,-,6,-,2]=>[4,1,3,6,5,2]=>[3,6,4,2,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,5,2,6,3]=>[4,1,5,2,6,3]=>[4,5,6,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3
[4,1,5,3,6,2]=>[4,1,5,3,6,2]=>[4,6,3,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,5,6,2,3]=>[4,1,5,6,2,3]=>[3,1,6,2,4,5]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>6
[4,1,5,6,3,2]=>[4,1,5,6,3,2]=>[4,6,5,1,2,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,1,6,2,+,3]=>[4,1,6,2,5,3]=>[4,2,6,3,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[4,1,6,2,-,3]=>[4,1,6,2,5,3]=>[4,2,6,3,5,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[4,1,6,3,2,5]=>[4,1,6,3,2,5]=>[4,5,1,3,6,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[4,1,6,3,+,2]=>[4,1,6,3,5,2]=>[4,6,1,3,5,2]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,6,3,-,2]=>[4,1,6,3,5,2]=>[4,6,1,3,5,2]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,1,6,5,2,3]=>[4,1,6,5,2,3]=>[4,1,6,3,5,2]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[5,6,4,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,+,1,3,6,5]=>[4,2,1,3,6,5]=>[4,2,5,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,-,1,3,6,5]=>[4,2,1,3,6,5]=>[4,2,5,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,+,1,5,6,3]=>[4,2,1,5,6,3]=>[4,3,6,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4
[4,-,1,5,6,3]=>[4,2,1,5,6,3]=>[4,3,6,1,2,5]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4
[4,+,1,6,3,5]=>[4,2,1,6,3,5]=>[4,3,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[4,-,1,6,3,5]=>[4,2,1,6,3,5]=>[4,3,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[4,+,1,6,+,3]=>[4,2,1,6,5,3]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,-,1,6,+,3]=>[4,2,1,6,5,3]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,+,1,6,-,3]=>[4,2,1,6,5,3]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,-,1,6,-,3]=>[4,2,1,6,5,3]=>[5,4,6,2,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,+,+,1,6,5]=>[4,2,3,1,6,5]=>[5,2,4,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,-,+,1,6,5]=>[4,2,3,1,6,5]=>[5,2,4,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,+,-,1,6,5]=>[4,2,3,1,6,5]=>[5,2,4,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,-,-,1,6,5]=>[4,2,3,1,6,5]=>[5,2,4,3,6,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,+,+,5,6,1]=>[4,2,3,5,6,1]=>[6,1,3,2,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,+,5,6,1]=>[4,2,3,5,6,1]=>[6,1,3,2,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,-,5,6,1]=>[4,2,3,5,6,1]=>[6,1,3,2,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,-,5,6,1]=>[4,2,3,5,6,1]=>[6,1,3,2,4,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,+,6,+,1]=>[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,+,6,+,1]=>[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,-,6,+,1]=>[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,+,6,-,1]=>[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,-,6,+,1]=>[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,+,6,-,1]=>[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,-,6,-,1]=>[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,-,-,6,-,1]=>[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,+,5,1,6,3]=>[4,2,5,1,6,3]=>[5,3,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[4,-,5,1,6,3]=>[4,2,5,1,6,3]=>[5,3,6,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[4,+,5,3,6,1]=>[4,2,5,3,6,1]=>[6,3,4,1,2,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,-,5,3,6,1]=>[4,2,5,3,6,1]=>[6,3,4,1,2,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,+,5,6,3,1]=>[4,2,5,6,3,1]=>[6,3,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,-,5,6,3,1]=>[4,2,5,6,3,1]=>[6,3,5,1,2,4]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,+,6,1,+,3]=>[4,2,6,1,5,3]=>[2,5,6,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,-,6,1,+,3]=>[4,2,6,1,5,3]=>[2,5,6,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,+,6,1,-,3]=>[4,2,6,1,5,3]=>[2,5,6,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,-,6,1,-,3]=>[4,2,6,1,5,3]=>[2,5,6,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,+,6,3,1,5]=>[4,2,6,3,1,5]=>[5,3,1,4,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[4,-,6,3,1,5]=>[4,2,6,3,1,5]=>[5,3,1,4,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[4,+,6,3,+,1]=>[4,2,6,3,5,1]=>[6,3,1,4,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,-,6,3,+,1]=>[4,2,6,3,5,1]=>[6,3,1,4,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,+,6,3,-,1]=>[4,2,6,3,5,1]=>[6,3,1,4,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,-,6,3,-,1]=>[4,2,6,3,5,1]=>[6,3,1,4,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,+,6,5,3,1]=>[4,2,6,5,3,1]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,-,6,5,3,1]=>[4,2,6,5,3,1]=>[6,4,5,2,3,1]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,3,1,2,6,5]=>[4,3,1,2,6,5]=>[2,5,4,3,6,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,3,1,5,6,2]=>[4,3,1,5,6,2]=>[4,6,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[4,1,5,3,6,2]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,3,1,6,+,2]=>[4,3,1,6,5,2]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,3,1,6,-,2]=>[4,3,1,6,5,2]=>[5,6,3,2,4,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[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)=>4
[4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,3,2,6,+,1]=>[4,3,2,6,5,1]=>[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)=>4
[4,3,2,6,-,1]=>[4,3,2,6,5,1]=>[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)=>4
[4,3,5,1,6,2]=>[4,3,5,1,6,2]=>[5,6,2,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,3,6,1,+,2]=>[4,3,6,1,5,2]=>[2,6,4,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,3,6,1,-,2]=>[4,3,6,1,5,2]=>[2,6,4,3,5,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[5,1,4,3,6,2]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,3,6,2,+,1]=>[4,3,6,2,5,1]=>[6,1,4,3,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,3,6,2,-,1]=>[4,3,6,2,5,1]=>[6,1,4,3,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[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)=>4
[4,5,1,2,6,3]=>[4,5,1,2,6,3]=>[2,5,6,1,3,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5
[4,5,1,3,6,2]=>[4,5,1,3,6,2]=>[2,6,4,1,3,5]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,5,1,6,2,3]=>[4,5,1,6,2,3]=>[4,1,6,2,3,5]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>6
[4,5,1,6,3,2]=>[4,5,1,6,3,2]=>[5,6,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[4,5,2,1,6,3]=>[4,5,2,1,6,3]=>[5,4,6,1,2,3]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[4,5,2,3,6,1]=>[4,5,2,3,6,1]=>[6,1,4,2,3,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,2,6,3,1]=>[4,5,2,6,3,1]=>[6,4,5,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>4
[4,5,+,1,6,2]=>[4,5,3,1,6,2]=>[5,6,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[4,5,-,1,6,2]=>[4,5,3,1,6,2]=>[5,6,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[4,5,+,2,6,1]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,-,2,6,1]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,+,6,2,1]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,-,6,2,1]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,6,1,3,2]=>[4,5,6,1,3,2]=>[2,6,5,1,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,6,2,1,3]=>[4,5,6,2,1,3]=>[5,1,6,2,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[4,5,6,2,3,1]=>[4,5,6,2,3,1]=>[6,1,5,2,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[4,6,1,2,+,3]=>[4,6,1,2,5,3]=>[2,3,6,4,5,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,6,1,2,-,3]=>[4,6,1,2,5,3]=>[2,3,6,4,5,1]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,6,1,3,2,5]=>[4,6,1,3,2,5]=>[2,5,1,4,6,3]=>([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,1,3,+,2]=>[4,6,1,3,5,2]=>[2,6,1,4,5,3]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[4,6,1,3,-,2]=>[4,6,1,3,5,2]=>[2,6,1,4,5,3]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[3,6,5,2,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,2,1,3,5]=>[4,6,2,1,3,5]=>[4,1,2,5,6,3]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>5
[4,6,2,1,+,3]=>[4,6,2,1,5,3]=>[5,2,6,3,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,2,1,-,3]=>[4,6,2,1,5,3]=>[5,2,6,3,4,1]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,2,3,1,5]=>[4,6,2,3,1,5]=>[5,1,2,4,6,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[4,6,2,3,+,1]=>[4,6,2,3,5,1]=>[6,1,2,4,5,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,6,2,3,-,1]=>[4,6,2,3,5,1]=>[6,1,2,4,5,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[6,2,5,3,4,1]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,6,+,1,+,2]=>[4,6,3,1,5,2]=>[5,6,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[4,6,-,1,+,2]=>[4,6,3,1,5,2]=>[5,6,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[4,6,+,1,-,2]=>[4,6,3,1,5,2]=>[5,6,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[4,6,-,1,-,2]=>[4,6,3,1,5,2]=>[5,6,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[4,6,+,2,1,5]=>[4,6,3,2,1,5]=>[5,4,1,3,6,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,-,2,1,5]=>[4,6,3,2,1,5]=>[5,4,1,3,6,2]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,+,2,+,1]=>[4,6,3,2,5,1]=>[6,4,1,3,5,2]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,-,2,+,1]=>[4,6,3,2,5,1]=>[6,4,1,3,5,2]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,+,2,-,1]=>[4,6,3,2,5,1]=>[6,4,1,3,5,2]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,-,2,-,1]=>[4,6,3,2,5,1]=>[6,4,1,3,5,2]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,+,5,2,1]=>[4,6,3,5,2,1]=>[6,5,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,6,-,5,2,1]=>[4,6,3,5,2,1]=>[6,5,1,3,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[2,6,5,3,4,1]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[5,1,6,3,4,2]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[6,1,5,3,4,2]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[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)=>3
[5,1,2,3,6,4]=>[5,1,2,3,6,4]=>[2,3,5,6,1,4]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>6
[5,1,2,+,6,3]=>[5,1,2,4,6,3]=>[2,3,6,4,1,5]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[5,1,2,-,6,3]=>[5,1,2,4,6,3]=>[2,3,6,4,1,5]=>([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
[5,1,2,6,3,4]=>[5,1,2,6,3,4]=>[2,4,1,6,3,5]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>6
[5,1,2,6,4,3]=>[5,1,2,6,4,3]=>[3,5,6,4,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[5,1,+,2,6,4]=>[5,1,3,2,6,4]=>[3,5,4,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,1,-,2,6,4]=>[5,1,3,2,6,4]=>[3,5,4,6,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,1,+,+,6,2]=>[5,1,3,4,6,2]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[5,1,-,+,6,2]=>[5,1,3,4,6,2]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[5,1,+,-,6,2]=>[5,1,3,4,6,2]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[5,1,-,-,6,2]=>[5,1,3,4,6,2]=>[2,6,1,4,3,5]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[5,1,+,6,4,2]=>[5,1,3,6,4,2]=>[3,6,4,5,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[5,1,-,6,4,2]=>[5,1,3,6,4,2]=>[3,6,4,5,1,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[5,1,4,2,6,3]=>[5,1,4,2,6,3]=>[3,5,6,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,1,4,3,6,2]=>[5,1,4,3,6,2]=>[3,6,4,2,1,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,1,4,6,3,2]=>[5,1,4,6,3,2]=>[3,6,5,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,1,6,2,4,3]=>[5,1,6,2,4,3]=>[4,2,6,5,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[5,1,6,3,2,4]=>[5,1,6,3,2,4]=>[4,5,1,6,2,3]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[4,6,1,5,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[5,1,6,+,2,3]=>[5,1,6,4,2,3]=>[4,1,6,5,2,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4
[5,1,6,-,2,3]=>[5,1,6,4,2,3]=>[4,1,6,5,2,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4
[5,1,6,+,3,2]=>[5,1,6,4,3,2]=>[5,6,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,1,6,-,3,2]=>[5,1,6,4,3,2]=>[5,6,4,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,1,3,6,4]=>[5,2,1,3,6,4]=>[4,2,5,6,1,3]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[5,-,1,3,6,4]=>[5,2,1,3,6,4]=>[4,2,5,6,1,3]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[5,+,1,+,6,3]=>[5,2,1,4,6,3]=>[4,2,6,3,1,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[5,-,1,+,6,3]=>[5,2,1,4,6,3]=>[4,2,6,3,1,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[5,+,1,-,6,3]=>[5,2,1,4,6,3]=>[4,2,6,3,1,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[5,-,1,-,6,3]=>[5,2,1,4,6,3]=>[4,2,6,3,1,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[5,+,1,6,3,4]=>[5,2,1,6,3,4]=>[4,3,1,6,2,5]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[5,-,1,6,3,4]=>[5,2,1,6,3,4]=>[4,3,1,6,2,5]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[5,+,1,6,4,3]=>[5,2,1,6,4,3]=>[5,4,6,3,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[5,-,1,6,4,3]=>[5,2,1,6,4,3]=>[5,4,6,3,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[5,+,+,1,6,4]=>[5,2,3,1,6,4]=>[5,2,4,6,1,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,-,+,1,6,4]=>[5,2,3,1,6,4]=>[5,2,4,6,1,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,+,-,1,6,4]=>[5,2,3,1,6,4]=>[5,2,4,6,1,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,-,-,1,6,4]=>[5,2,3,1,6,4]=>[5,2,4,6,1,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,+,+,+,6,1]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,+,+,6,1]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,-,+,6,1]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,+,-,6,1]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,-,+,6,1]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,+,-,6,1]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,-,-,6,1]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,-,-,-,6,1]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,+,+,6,4,1]=>[5,2,3,6,4,1]=>[6,2,4,5,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,-,+,6,4,1]=>[5,2,3,6,4,1]=>[6,2,4,5,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,+,-,6,4,1]=>[5,2,3,6,4,1]=>[6,2,4,5,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,-,-,6,4,1]=>[5,2,3,6,4,1]=>[6,2,4,5,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,+,4,1,6,3]=>[5,2,4,1,6,3]=>[5,2,6,3,1,4]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,-,4,1,6,3]=>[5,2,4,1,6,3]=>[5,2,6,3,1,4]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,+,4,3,6,1]=>[5,2,4,3,6,1]=>[6,2,4,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,-,4,3,6,1]=>[5,2,4,3,6,1]=>[6,2,4,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,+,4,6,3,1]=>[5,2,4,6,3,1]=>[6,2,5,3,1,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,-,4,6,3,1]=>[5,2,4,6,3,1]=>[6,2,5,3,1,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,+,6,1,4,3]=>[5,2,6,1,4,3]=>[2,5,6,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,-,6,1,4,3]=>[5,2,6,1,4,3]=>[2,5,6,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,+,6,3,1,4]=>[5,2,6,3,1,4]=>[5,3,1,6,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,-,6,3,1,4]=>[5,2,6,3,1,4]=>[5,3,1,6,2,4]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,+,6,3,4,1]=>[5,2,6,3,4,1]=>[6,3,1,5,2,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[5,-,6,3,4,1]=>[5,2,6,3,4,1]=>[6,3,1,5,2,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[5,+,6,+,3,1]=>[5,2,6,4,3,1]=>[6,4,5,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,6,+,3,1]=>[5,2,6,4,3,1]=>[6,4,5,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,+,6,-,3,1]=>[5,2,6,4,3,1]=>[6,4,5,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,-,6,-,3,1]=>[5,2,6,4,3,1]=>[6,4,5,3,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,1,2,6,4]=>[5,3,1,2,6,4]=>[2,5,4,6,1,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[5,3,1,+,6,2]=>[5,3,1,4,6,2]=>[4,6,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[5,3,1,-,6,2]=>[5,3,1,4,6,2]=>[4,6,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[5,3,1,6,2,4]=>[5,3,1,6,2,4]=>[4,1,5,6,2,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5
[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[5,6,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
[5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[5,4,3,6,1,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[5,3,2,+,6,1]=>[5,3,2,4,6,1]=>[6,3,1,4,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,3,2,-,6,1]=>[5,3,2,4,6,1]=>[6,3,1,4,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[6,4,3,5,1,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[5,3,4,1,6,2]=>[5,3,4,1,6,2]=>[5,6,1,3,2,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[6,4,1,3,2,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,3,4,6,2,1]=>[5,3,4,6,2,1]=>[6,5,1,3,2,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[2,6,4,5,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[5,1,4,6,2,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[6,1,4,5,2,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[5,3,6,+,2,1]=>[5,3,6,4,2,1]=>[6,5,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,3,6,-,2,1]=>[5,3,6,4,2,1]=>[6,5,3,4,1,2]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>3
[5,4,1,2,6,3]=>[5,4,1,2,6,3]=>[2,5,6,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[5,4,1,3,6,2]=>[5,4,1,3,6,2]=>[2,6,4,3,1,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,4,1,6,2,3]=>[5,4,1,6,2,3]=>[4,1,6,3,2,5]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[5,6,4,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[5,4,6,2,1,3]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,4,2,3,6,1]=>[5,4,2,3,6,1]=>[6,1,4,3,2,5]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[6,4,5,2,1,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[5,4,+,1,6,2]=>[5,4,3,1,6,2]=>[5,6,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[5,4,-,1,6,2]=>[5,4,3,1,6,2]=>[5,6,3,2,1,4]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[5,4,+,2,6,1]=>[5,4,3,2,6,1]=>[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)=>4
[5,4,-,2,6,1]=>[5,4,3,2,6,1]=>[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)=>4
[5,4,+,6,2,1]=>[5,4,3,6,2,1]=>[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)=>4
[5,4,-,6,2,1]=>[5,4,3,6,2,1]=>[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)=>4
[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[2,6,5,3,1,4]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[5,1,6,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[6,1,5,3,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[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)=>4
[5,6,1,2,4,3]=>[5,6,1,2,4,3]=>[2,3,6,5,1,4]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[5,6,1,3,2,4]=>[5,6,1,3,2,4]=>[2,5,1,6,3,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
[5,6,1,3,4,2]=>[5,6,1,3,4,2]=>[2,6,1,5,3,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[5,6,1,+,3,2]=>[5,6,1,4,3,2]=>[3,6,5,4,1,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[5,6,1,-,3,2]=>[5,6,1,4,3,2]=>[3,6,5,4,1,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[4,1,2,6,3,5]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>6
[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[5,2,6,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[5,6,2,3,1,4]=>[5,6,2,3,1,4]=>[5,1,2,6,3,4]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>6
[5,6,2,3,4,1]=>[5,6,2,3,4,1]=>[6,1,2,5,3,4]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,2,+,3,1]=>[5,6,2,4,3,1]=>[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,6,2,-,3,1]=>[5,6,2,4,3,1]=>[6,2,5,4,1,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,6,+,1,4,2]=>[5,6,3,1,4,2]=>[5,6,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[5,6,-,1,4,2]=>[5,6,3,1,4,2]=>[5,6,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[5,6,+,2,1,4]=>[5,6,3,2,1,4]=>[5,4,1,6,2,3]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,-,2,1,4]=>[5,6,3,2,1,4]=>[5,4,1,6,2,3]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,+,2,4,1]=>[5,6,3,2,4,1]=>[6,4,1,5,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,6,-,2,4,1]=>[5,6,3,2,4,1]=>[6,4,1,5,2,3]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,6,+,+,2,1]=>[5,6,3,4,2,1]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,-,+,2,1]=>[5,6,3,4,2,1]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,+,-,2,1]=>[5,6,3,4,2,1]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,-,-,2,1]=>[5,6,3,4,2,1]=>[6,5,1,4,2,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[5,1,6,4,2,3]=>([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[6,1,5,4,2,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[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)=>3
[6,1,2,3,+,4]=>[6,1,2,3,5,4]=>[2,3,4,6,5,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,2,3,-,4]=>[6,1,2,3,5,4]=>[2,3,4,6,5,1]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,2,+,3,5]=>[6,1,2,4,3,5]=>[2,3,5,1,6,4]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>6
[6,1,2,-,3,5]=>[6,1,2,4,3,5]=>[2,3,5,1,6,4]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>6
[6,1,2,+,+,3]=>[6,1,2,4,5,3]=>[2,3,6,1,5,4]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,2,-,+,3]=>[6,1,2,4,5,3]=>[2,3,6,1,5,4]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,2,+,-,3]=>[6,1,2,4,5,3]=>[2,3,6,1,5,4]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,2,-,-,3]=>[6,1,2,4,5,3]=>[2,3,6,1,5,4]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,2,5,4,3]=>[6,1,2,5,4,3]=>[3,4,6,5,2,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,1,+,2,+,4]=>[6,1,3,2,5,4]=>[3,5,2,6,4,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,1,-,2,+,4]=>[6,1,3,2,5,4]=>[3,5,2,6,4,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,1,+,2,-,4]=>[6,1,3,2,5,4]=>[3,5,2,6,4,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,1,-,2,-,4]=>[6,1,3,2,5,4]=>[3,5,2,6,4,1]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,1,+,+,2,5]=>[6,1,3,4,2,5]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>6
[6,1,-,+,2,5]=>[6,1,3,4,2,5]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>6
[6,1,+,-,2,5]=>[6,1,3,4,2,5]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>6
[6,1,-,-,2,5]=>[6,1,3,4,2,5]=>[2,5,1,3,6,4]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>6
[6,1,+,+,+,2]=>[6,1,3,4,5,2]=>[2,6,1,3,5,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,-,+,+,2]=>[6,1,3,4,5,2]=>[2,6,1,3,5,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,+,-,+,2]=>[6,1,3,4,5,2]=>[2,6,1,3,5,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,+,+,-,2]=>[6,1,3,4,5,2]=>[2,6,1,3,5,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,-,-,+,2]=>[6,1,3,4,5,2]=>[2,6,1,3,5,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,-,+,-,2]=>[6,1,3,4,5,2]=>[2,6,1,3,5,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,+,-,-,2]=>[6,1,3,4,5,2]=>[2,6,1,3,5,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,-,-,-,2]=>[6,1,3,4,5,2]=>[2,6,1,3,5,4]=>([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,1,+,5,4,2]=>[6,1,3,5,4,2]=>[3,6,2,5,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,1,-,5,4,2]=>[6,1,3,5,4,2]=>[3,6,2,5,4,1]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,1,4,2,+,3]=>[6,1,4,2,5,3]=>[3,5,6,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,1,4,2,-,3]=>[6,1,4,2,5,3]=>[3,5,6,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,1,4,3,2,5]=>[6,1,4,3,2,5]=>[3,5,4,1,6,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[6,1,4,3,+,2]=>[6,1,4,3,5,2]=>[3,6,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,1,4,3,-,2]=>[6,1,4,3,5,2]=>[3,6,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,1,4,5,3,2]=>[6,1,4,5,3,2]=>[3,6,5,1,4,2]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[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)=>5
[6,1,5,3,2,4]=>[6,1,5,3,2,4]=>[3,5,1,6,4,2]=>([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,1,5,3,4,2]=>[6,1,5,3,4,2]=>[3,6,1,5,4,2]=>([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,1,5,+,2,3]=>[6,1,5,4,2,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,5,-,2,3]=>[6,1,5,4,2,3]=>[3,1,6,5,4,2]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,1,5,+,3,2]=>[6,1,5,4,3,2]=>[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)=>4
[6,1,5,-,3,2]=>[6,1,5,4,3,2]=>[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)=>4
[6,+,1,3,+,4]=>[6,2,1,3,5,4]=>[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,-,1,3,+,4]=>[6,2,1,3,5,4]=>[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,+,1,3,-,4]=>[6,2,1,3,5,4]=>[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,-,1,3,-,4]=>[6,2,1,3,5,4]=>[4,2,3,6,5,1]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,+,1,+,3,5]=>[6,2,1,4,3,5]=>[4,2,5,1,6,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,-,1,+,3,5]=>[6,2,1,4,3,5]=>[4,2,5,1,6,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,+,1,-,3,5]=>[6,2,1,4,3,5]=>[4,2,5,1,6,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,-,1,-,3,5]=>[6,2,1,4,3,5]=>[4,2,5,1,6,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,+,1,+,+,3]=>[6,2,1,4,5,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>5
[6,-,1,+,+,3]=>[6,2,1,4,5,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>5
[6,+,1,-,+,3]=>[6,2,1,4,5,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>5
[6,+,1,+,-,3]=>[6,2,1,4,5,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>5
[6,-,1,-,+,3]=>[6,2,1,4,5,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>5
[6,-,1,+,-,3]=>[6,2,1,4,5,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>5
[6,+,1,-,-,3]=>[6,2,1,4,5,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>5
[6,-,1,-,-,3]=>[6,2,1,4,5,3]=>[4,2,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>5
[6,+,1,5,3,4]=>[6,2,1,5,3,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
[6,-,1,5,3,4]=>[6,2,1,5,3,4]=>[4,2,1,6,5,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
[6,+,1,5,4,3]=>[6,2,1,5,4,3]=>[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)=>5
[6,-,1,5,4,3]=>[6,2,1,5,4,3]=>[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)=>5
[6,+,+,1,+,4]=>[6,2,3,1,5,4]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,-,+,1,+,4]=>[6,2,3,1,5,4]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,+,-,1,+,4]=>[6,2,3,1,5,4]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,+,+,1,-,4]=>[6,2,3,1,5,4]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,-,-,1,+,4]=>[6,2,3,1,5,4]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,-,+,1,-,4]=>[6,2,3,1,5,4]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,+,-,1,-,4]=>[6,2,3,1,5,4]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,-,-,1,-,4]=>[6,2,3,1,5,4]=>[5,2,3,6,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,+,+,+,1,5]=>[6,2,3,4,1,5]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[6,-,+,+,1,5]=>[6,2,3,4,1,5]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[6,+,-,+,1,5]=>[6,2,3,4,1,5]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[6,+,+,-,1,5]=>[6,2,3,4,1,5]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[6,-,-,+,1,5]=>[6,2,3,4,1,5]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[6,-,+,-,1,5]=>[6,2,3,4,1,5]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[6,+,-,-,1,5]=>[6,2,3,4,1,5]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[6,-,-,-,1,5]=>[6,2,3,4,1,5]=>[5,1,2,3,6,4]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
[6,+,+,+,+,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,+,+,+,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,-,+,+,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,+,-,+,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,+,+,-,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,-,+,+,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,+,-,+,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,+,+,-,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,-,-,+,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,-,+,-,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,+,-,-,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,-,-,+,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,-,+,-,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,+,-,-,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,-,-,-,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,-,-,-,1]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,+,5,4,1]=>[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,+,5,4,1]=>[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,-,5,4,1]=>[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,-,-,5,4,1]=>[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,+,4,1,+,3]=>[6,2,4,1,5,3]=>[5,2,6,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[6,-,4,1,+,3]=>[6,2,4,1,5,3]=>[5,2,6,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[6,+,4,1,-,3]=>[6,2,4,1,5,3]=>[5,2,6,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[6,-,4,1,-,3]=>[6,2,4,1,5,3]=>[5,2,6,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
[6,+,4,3,1,5]=>[6,2,4,3,1,5]=>[5,2,4,1,6,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,-,4,3,1,5]=>[6,2,4,3,1,5]=>[5,2,4,1,6,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,+,4,3,+,1]=>[6,2,4,3,5,1]=>[6,2,4,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,-,4,3,+,1]=>[6,2,4,3,5,1]=>[6,2,4,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,+,4,3,-,1]=>[6,2,4,3,5,1]=>[6,2,4,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,-,4,3,-,1]=>[6,2,4,3,5,1]=>[6,2,4,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,+,4,5,3,1]=>[6,2,4,5,3,1]=>[6,2,5,1,4,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,-,4,5,3,1]=>[6,2,4,5,3,1]=>[6,2,5,1,4,3]=>([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,+,5,1,4,3]=>[6,2,5,1,4,3]=>[2,4,6,5,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,-,5,1,4,3]=>[6,2,5,1,4,3]=>[2,4,6,5,3,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,+,5,3,1,4]=>[6,2,5,3,1,4]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[6,-,5,3,1,4]=>[6,2,5,3,1,4]=>[5,2,1,6,4,3]=>([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[6,+,5,3,4,1]=>[6,2,5,3,4,1]=>[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)=>5
[6,-,5,3,4,1]=>[6,2,5,3,4,1]=>[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)=>5
[6,+,5,+,3,1]=>[6,2,5,4,3,1]=>[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)=>4
[6,-,5,+,3,1]=>[6,2,5,4,3,1]=>[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)=>4
[6,+,5,-,3,1]=>[6,2,5,4,3,1]=>[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)=>4
[6,-,5,-,3,1]=>[6,2,5,4,3,1]=>[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)=>4
[6,3,1,2,+,4]=>[6,3,1,2,5,4]=>[2,5,3,6,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,1,2,-,4]=>[6,3,1,2,5,4]=>[2,5,3,6,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,1,+,2,5]=>[6,3,1,4,2,5]=>[4,5,1,2,6,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5
[6,3,1,-,2,5]=>[6,3,1,4,2,5]=>[4,5,1,2,6,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5
[6,3,1,+,+,2]=>[6,3,1,4,5,2]=>[4,6,1,2,5,3]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[6,3,1,-,+,2]=>[6,3,1,4,5,2]=>[4,6,1,2,5,3]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[6,3,1,+,-,2]=>[6,3,1,4,5,2]=>[4,6,1,2,5,3]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[6,3,1,-,-,2]=>[6,3,1,4,5,2]=>[4,6,1,2,5,3]=>([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>6
[6,3,1,5,2,4]=>[6,3,1,5,2,4]=>[4,1,3,6,5,2]=>([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[5,6,2,4,3,1]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[6,3,2,1,+,4]=>[6,3,2,1,5,4]=>[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)=>6
[6,3,2,1,-,4]=>[6,3,2,1,5,4]=>[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)=>6
[6,3,2,+,1,5]=>[6,3,2,4,1,5]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,3,2,-,1,5]=>[6,3,2,4,1,5]=>[5,3,1,2,6,4]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,3,2,+,+,1]=>[6,3,2,4,5,1]=>[6,3,1,2,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,2,-,+,1]=>[6,3,2,4,5,1]=>[6,3,1,2,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,2,+,-,1]=>[6,3,2,4,5,1]=>[6,3,1,2,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,2,-,-,1]=>[6,3,2,4,5,1]=>[6,3,1,2,5,4]=>([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[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)=>5
[6,3,4,1,+,2]=>[6,3,4,1,5,2]=>[5,6,1,2,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[6,3,4,1,-,2]=>[6,3,4,1,5,2]=>[5,6,1,2,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
[6,3,4,2,1,5]=>[6,3,4,2,1,5]=>[5,4,1,2,6,3]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,3,4,2,+,1]=>[6,3,4,2,5,1]=>[6,4,1,2,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,4,2,-,1]=>[6,3,4,2,5,1]=>[6,4,1,2,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,4,5,2,1]=>[6,3,4,5,2,1]=>[6,5,1,2,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[2,6,3,5,4,1]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[5,1,3,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[6,1,3,5,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,3,5,+,2,1]=>[6,3,5,4,2,1]=>[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)=>4
[6,3,5,-,2,1]=>[6,3,5,4,2,1]=>[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)=>4
[6,4,1,2,+,3]=>[6,4,1,2,5,3]=>[2,5,6,1,4,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4
[6,4,1,2,-,3]=>[6,4,1,2,5,3]=>[2,5,6,1,4,3]=>([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4
[6,4,1,3,2,5]=>[6,4,1,3,2,5]=>[2,5,4,1,6,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,4,1,3,+,2]=>[6,4,1,3,5,2]=>[2,6,4,1,5,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,4,1,3,-,2]=>[6,4,1,3,5,2]=>[2,6,4,1,5,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
[6,4,1,5,2,3]=>[6,4,1,5,2,3]=>[4,1,6,2,5,3]=>([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[5,6,4,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[6,4,2,1,3,5]=>[6,4,2,1,3,5]=>[4,1,5,2,6,3]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>6
[6,4,2,1,+,3]=>[6,4,2,1,5,3]=>[5,4,6,1,3,2]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,2,1,-,3]=>[6,4,2,1,5,3]=>[5,4,6,1,3,2]=>([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,2,3,1,5]=>[6,4,2,3,1,5]=>[5,1,4,2,6,3]=>([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,4,2,3,+,1]=>[6,4,2,3,5,1]=>[6,1,4,2,5,3]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,4,2,3,-,1]=>[6,4,2,3,5,1]=>[6,1,4,2,5,3]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[6,4,5,1,3,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>5
[6,4,+,1,+,2]=>[6,4,3,1,5,2]=>[5,6,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,4,-,1,+,2]=>[6,4,3,1,5,2]=>[5,6,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,4,+,1,-,2]=>[6,4,3,1,5,2]=>[5,6,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,4,-,1,-,2]=>[6,4,3,1,5,2]=>[5,6,3,1,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,4,+,2,1,5]=>[6,4,3,2,1,5]=>[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)=>5
[6,4,-,2,1,5]=>[6,4,3,2,1,5]=>[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)=>5
[6,4,+,2,+,1]=>[6,4,3,2,5,1]=>[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)=>6
[6,4,-,2,+,1]=>[6,4,3,2,5,1]=>[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)=>6
[6,4,+,2,-,1]=>[6,4,3,2,5,1]=>[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)=>6
[6,4,-,2,-,1]=>[6,4,3,2,5,1]=>[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)=>6
[6,4,+,5,2,1]=>[6,4,3,5,2,1]=>[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)=>5
[6,4,-,5,2,1]=>[6,4,3,5,2,1]=>[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)=>5
[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[2,6,5,1,4,3]=>([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[6,1,5,2,4,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[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)=>4
[6,5,1,2,4,3]=>[6,5,1,2,4,3]=>[2,3,6,5,4,1]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,1,3,2,4]=>[6,5,1,3,2,4]=>[2,5,1,6,4,3]=>([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
[6,5,1,3,4,2]=>[6,5,1,3,4,2]=>[2,6,1,5,4,3]=>([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
[6,5,1,+,3,2]=>[6,5,1,4,3,2]=>[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)=>4
[6,5,1,-,3,2]=>[6,5,1,4,3,2]=>[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)=>4
[6,5,2,1,3,4]=>[6,5,2,1,3,4]=>[4,1,2,6,5,3]=>([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>6
[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[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)=>6
[6,5,2,3,1,4]=>[6,5,2,3,1,4]=>[5,1,2,6,4,3]=>([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
[6,5,2,3,4,1]=>[6,5,2,3,4,1]=>[6,1,2,5,4,3]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
[6,5,2,+,3,1]=>[6,5,2,4,3,1]=>[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)=>4
[6,5,2,-,3,1]=>[6,5,2,4,3,1]=>[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)=>4
[6,5,+,1,4,2]=>[6,5,3,1,4,2]=>[5,6,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,5,-,1,4,2]=>[6,5,3,1,4,2]=>[5,6,1,4,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,5,+,2,1,4]=>[6,5,3,2,1,4]=>[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)=>5
[6,5,-,2,1,4]=>[6,5,3,2,1,4]=>[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)=>5
[6,5,+,2,4,1]=>[6,5,3,2,4,1]=>[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)=>6
[6,5,-,2,4,1]=>[6,5,3,2,4,1]=>[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)=>6
[6,5,+,+,2,1]=>[6,5,3,4,2,1]=>[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)=>4
[6,5,-,+,2,1]=>[6,5,3,4,2,1]=>[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)=>4
[6,5,+,-,2,1]=>[6,5,3,4,2,1]=>[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)=>4
[6,5,-,-,2,1]=>[6,5,3,4,2,1]=>[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)=>4
[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[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)=>4
[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[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)=>5
[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[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)=>4
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[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)=>2
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Description
The number of distinct eigenvalues of the distance Laplacian of a connected graph.
Map
permutation
Description
The underlying permutation of the decorated permutation.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
Map
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.
This map sends the major index to the number of inversions.
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