Identifier
Images
=>
[+]=>[1]
[-]=>[1]
[+,+]=>[1,2]
[-,+]=>[2,1]
[+,-]=>[1,2]
[-,-]=>[1,2]
[2,1]=>[2,1]
[+,+,+]=>[1,2,3]
[-,+,+]=>[2,3,1]
[+,-,+]=>[1,3,2]
[+,+,-]=>[1,2,3]
[-,-,+]=>[3,1,2]
[-,+,-]=>[2,1,3]
[+,-,-]=>[1,2,3]
[-,-,-]=>[1,2,3]
[+,3,2]=>[1,3,2]
[-,3,2]=>[3,1,2]
[2,1,+]=>[2,3,1]
[2,1,-]=>[2,1,3]
[2,3,1]=>[3,1,2]
[3,1,2]=>[2,3,1]
[3,+,1]=>[2,3,1]
[3,-,1]=>[3,1,2]
[+,+,+,+]=>[1,2,3,4]
[-,+,+,+]=>[2,3,4,1]
[+,-,+,+]=>[1,3,4,2]
[+,+,-,+]=>[1,2,4,3]
[+,+,+,-]=>[1,2,3,4]
[-,-,+,+]=>[3,4,1,2]
[-,+,-,+]=>[2,4,1,3]
[-,+,+,-]=>[2,3,1,4]
[+,-,-,+]=>[1,4,2,3]
[+,-,+,-]=>[1,3,2,4]
[+,+,-,-]=>[1,2,3,4]
[-,-,-,+]=>[4,1,2,3]
[-,-,+,-]=>[3,1,2,4]
[-,+,-,-]=>[2,1,3,4]
[+,-,-,-]=>[1,2,3,4]
[-,-,-,-]=>[1,2,3,4]
[+,+,4,3]=>[1,2,4,3]
[-,+,4,3]=>[2,4,1,3]
[+,-,4,3]=>[1,4,2,3]
[-,-,4,3]=>[4,1,2,3]
[+,3,2,+]=>[1,3,4,2]
[-,3,2,+]=>[3,4,1,2]
[+,3,2,-]=>[1,3,2,4]
[-,3,2,-]=>[3,1,2,4]
[+,3,4,2]=>[1,4,2,3]
[-,3,4,2]=>[4,1,2,3]
[+,4,2,3]=>[1,3,4,2]
[-,4,2,3]=>[3,4,1,2]
[+,4,+,2]=>[1,3,4,2]
[-,4,+,2]=>[3,4,1,2]
[+,4,-,2]=>[1,4,2,3]
[-,4,-,2]=>[4,1,2,3]
[2,1,+,+]=>[2,3,4,1]
[2,1,-,+]=>[2,4,1,3]
[2,1,+,-]=>[2,3,1,4]
[2,1,-,-]=>[2,1,3,4]
[2,1,4,3]=>[2,4,1,3]
[2,3,1,+]=>[3,4,1,2]
[2,3,1,-]=>[3,1,2,4]
[2,3,4,1]=>[4,1,2,3]
[2,4,1,3]=>[3,4,1,2]
[2,4,+,1]=>[3,4,1,2]
[2,4,-,1]=>[4,1,2,3]
[3,1,2,+]=>[2,3,4,1]
[3,1,2,-]=>[2,3,1,4]
[3,1,4,2]=>[2,4,1,3]
[3,+,1,+]=>[2,3,4,1]
[3,-,1,+]=>[3,4,1,2]
[3,+,1,-]=>[2,3,1,4]
[3,-,1,-]=>[3,1,2,4]
[3,+,4,1]=>[2,4,1,3]
[3,-,4,1]=>[4,1,2,3]
[3,4,1,2]=>[3,4,1,2]
[3,4,2,1]=>[3,4,1,2]
[4,1,2,3]=>[2,3,4,1]
[4,1,+,2]=>[2,3,4,1]
[4,1,-,2]=>[2,4,1,3]
[4,+,1,3]=>[2,3,4,1]
[4,-,1,3]=>[3,4,1,2]
[4,+,+,1]=>[2,3,4,1]
[4,-,+,1]=>[3,4,1,2]
[4,+,-,1]=>[2,4,1,3]
[4,-,-,1]=>[4,1,2,3]
[4,3,1,2]=>[3,4,1,2]
[4,3,2,1]=>[3,4,1,2]
[+,+,+,+,+]=>[1,2,3,4,5]
[-,+,+,+,+]=>[2,3,4,5,1]
[+,-,+,+,+]=>[1,3,4,5,2]
[+,+,-,+,+]=>[1,2,4,5,3]
[+,+,+,-,+]=>[1,2,3,5,4]
[+,+,+,+,-]=>[1,2,3,4,5]
[-,-,+,+,+]=>[3,4,5,1,2]
[-,+,-,+,+]=>[2,4,5,1,3]
[-,+,+,-,+]=>[2,3,5,1,4]
[-,+,+,+,-]=>[2,3,4,1,5]
[+,-,-,+,+]=>[1,4,5,2,3]
[+,-,+,-,+]=>[1,3,5,2,4]
[+,-,+,+,-]=>[1,3,4,2,5]
[+,+,-,-,+]=>[1,2,5,3,4]
[+,+,-,+,-]=>[1,2,4,3,5]
[+,+,+,-,-]=>[1,2,3,4,5]
[-,-,-,+,+]=>[4,5,1,2,3]
[-,-,+,-,+]=>[3,5,1,2,4]
[-,-,+,+,-]=>[3,4,1,2,5]
[-,+,-,-,+]=>[2,5,1,3,4]
[-,+,-,+,-]=>[2,4,1,3,5]
[-,+,+,-,-]=>[2,3,1,4,5]
[+,-,-,-,+]=>[1,5,2,3,4]
[+,-,-,+,-]=>[1,4,2,3,5]
[+,-,+,-,-]=>[1,3,2,4,5]
[+,+,-,-,-]=>[1,2,3,4,5]
[-,-,-,-,+]=>[5,1,2,3,4]
[-,-,-,+,-]=>[4,1,2,3,5]
[-,-,+,-,-]=>[3,1,2,4,5]
[-,+,-,-,-]=>[2,1,3,4,5]
[+,-,-,-,-]=>[1,2,3,4,5]
[-,-,-,-,-]=>[1,2,3,4,5]
[+,+,+,5,4]=>[1,2,3,5,4]
[-,+,+,5,4]=>[2,3,5,1,4]
[+,-,+,5,4]=>[1,3,5,2,4]
[+,+,-,5,4]=>[1,2,5,3,4]
[-,-,+,5,4]=>[3,5,1,2,4]
[-,+,-,5,4]=>[2,5,1,3,4]
[+,-,-,5,4]=>[1,5,2,3,4]
[-,-,-,5,4]=>[5,1,2,3,4]
[+,+,4,3,+]=>[1,2,4,5,3]
[-,+,4,3,+]=>[2,4,5,1,3]
[+,-,4,3,+]=>[1,4,5,2,3]
[+,+,4,3,-]=>[1,2,4,3,5]
[-,-,4,3,+]=>[4,5,1,2,3]
[-,+,4,3,-]=>[2,4,1,3,5]
[+,-,4,3,-]=>[1,4,2,3,5]
[-,-,4,3,-]=>[4,1,2,3,5]
[+,+,4,5,3]=>[1,2,5,3,4]
[-,+,4,5,3]=>[2,5,1,3,4]
[+,-,4,5,3]=>[1,5,2,3,4]
[-,-,4,5,3]=>[5,1,2,3,4]
[+,+,5,3,4]=>[1,2,4,5,3]
[-,+,5,3,4]=>[2,4,5,1,3]
[+,-,5,3,4]=>[1,4,5,2,3]
[-,-,5,3,4]=>[4,5,1,2,3]
[+,+,5,+,3]=>[1,2,4,5,3]
[-,+,5,+,3]=>[2,4,5,1,3]
[+,-,5,+,3]=>[1,4,5,2,3]
[+,+,5,-,3]=>[1,2,5,3,4]
[-,-,5,+,3]=>[4,5,1,2,3]
[-,+,5,-,3]=>[2,5,1,3,4]
[+,-,5,-,3]=>[1,5,2,3,4]
[-,-,5,-,3]=>[5,1,2,3,4]
[+,3,2,+,+]=>[1,3,4,5,2]
[-,3,2,+,+]=>[3,4,5,1,2]
[+,3,2,-,+]=>[1,3,5,2,4]
[+,3,2,+,-]=>[1,3,4,2,5]
[-,3,2,-,+]=>[3,5,1,2,4]
[-,3,2,+,-]=>[3,4,1,2,5]
[+,3,2,-,-]=>[1,3,2,4,5]
[-,3,2,-,-]=>[3,1,2,4,5]
[+,3,2,5,4]=>[1,3,5,2,4]
[-,3,2,5,4]=>[3,5,1,2,4]
[+,3,4,2,+]=>[1,4,5,2,3]
[-,3,4,2,+]=>[4,5,1,2,3]
[+,3,4,2,-]=>[1,4,2,3,5]
[-,3,4,2,-]=>[4,1,2,3,5]
[+,3,4,5,2]=>[1,5,2,3,4]
[-,3,4,5,2]=>[5,1,2,3,4]
[+,3,5,2,4]=>[1,4,5,2,3]
[-,3,5,2,4]=>[4,5,1,2,3]
[+,3,5,+,2]=>[1,4,5,2,3]
[-,3,5,+,2]=>[4,5,1,2,3]
[+,3,5,-,2]=>[1,5,2,3,4]
[-,3,5,-,2]=>[5,1,2,3,4]
[+,4,2,3,+]=>[1,3,4,5,2]
[-,4,2,3,+]=>[3,4,5,1,2]
[+,4,2,3,-]=>[1,3,4,2,5]
[-,4,2,3,-]=>[3,4,1,2,5]
[+,4,2,5,3]=>[1,3,5,2,4]
[-,4,2,5,3]=>[3,5,1,2,4]
[+,4,+,2,+]=>[1,3,4,5,2]
[-,4,+,2,+]=>[3,4,5,1,2]
[+,4,-,2,+]=>[1,4,5,2,3]
[+,4,+,2,-]=>[1,3,4,2,5]
[-,4,-,2,+]=>[4,5,1,2,3]
[-,4,+,2,-]=>[3,4,1,2,5]
[+,4,-,2,-]=>[1,4,2,3,5]
[-,4,-,2,-]=>[4,1,2,3,5]
[+,4,+,5,2]=>[1,3,5,2,4]
[-,4,+,5,2]=>[3,5,1,2,4]
[+,4,-,5,2]=>[1,5,2,3,4]
[-,4,-,5,2]=>[5,1,2,3,4]
[+,4,5,2,3]=>[1,4,5,2,3]
[-,4,5,2,3]=>[4,5,1,2,3]
[+,4,5,3,2]=>[1,4,5,2,3]
[-,4,5,3,2]=>[4,5,1,2,3]
[+,5,2,3,4]=>[1,3,4,5,2]
[-,5,2,3,4]=>[3,4,5,1,2]
[+,5,2,+,3]=>[1,3,4,5,2]
[-,5,2,+,3]=>[3,4,5,1,2]
[+,5,2,-,3]=>[1,3,5,2,4]
[-,5,2,-,3]=>[3,5,1,2,4]
[+,5,+,2,4]=>[1,3,4,5,2]
[-,5,+,2,4]=>[3,4,5,1,2]
[+,5,-,2,4]=>[1,4,5,2,3]
[-,5,-,2,4]=>[4,5,1,2,3]
[+,5,+,+,2]=>[1,3,4,5,2]
[-,5,+,+,2]=>[3,4,5,1,2]
[+,5,-,+,2]=>[1,4,5,2,3]
[+,5,+,-,2]=>[1,3,5,2,4]
[-,5,-,+,2]=>[4,5,1,2,3]
[-,5,+,-,2]=>[3,5,1,2,4]
[+,5,-,-,2]=>[1,5,2,3,4]
[-,5,-,-,2]=>[5,1,2,3,4]
[+,5,4,2,3]=>[1,4,5,2,3]
[-,5,4,2,3]=>[4,5,1,2,3]
[+,5,4,3,2]=>[1,4,5,2,3]
[-,5,4,3,2]=>[4,5,1,2,3]
[2,1,+,+,+]=>[2,3,4,5,1]
[2,1,-,+,+]=>[2,4,5,1,3]
[2,1,+,-,+]=>[2,3,5,1,4]
[2,1,+,+,-]=>[2,3,4,1,5]
[2,1,-,-,+]=>[2,5,1,3,4]
[2,1,-,+,-]=>[2,4,1,3,5]
[2,1,+,-,-]=>[2,3,1,4,5]
[2,1,-,-,-]=>[2,1,3,4,5]
[2,1,+,5,4]=>[2,3,5,1,4]
[2,1,-,5,4]=>[2,5,1,3,4]
[2,1,4,3,+]=>[2,4,5,1,3]
[2,1,4,3,-]=>[2,4,1,3,5]
[2,1,4,5,3]=>[2,5,1,3,4]
[2,1,5,3,4]=>[2,4,5,1,3]
[2,1,5,+,3]=>[2,4,5,1,3]
[2,1,5,-,3]=>[2,5,1,3,4]
[2,3,1,+,+]=>[3,4,5,1,2]
[2,3,1,-,+]=>[3,5,1,2,4]
[2,3,1,+,-]=>[3,4,1,2,5]
[2,3,1,-,-]=>[3,1,2,4,5]
[2,3,1,5,4]=>[3,5,1,2,4]
[2,3,4,1,+]=>[4,5,1,2,3]
[2,3,4,1,-]=>[4,1,2,3,5]
[2,3,4,5,1]=>[5,1,2,3,4]
[2,3,5,1,4]=>[4,5,1,2,3]
[2,3,5,+,1]=>[4,5,1,2,3]
[2,3,5,-,1]=>[5,1,2,3,4]
[2,4,1,3,+]=>[3,4,5,1,2]
[2,4,1,3,-]=>[3,4,1,2,5]
[2,4,1,5,3]=>[3,5,1,2,4]
[2,4,+,1,+]=>[3,4,5,1,2]
[2,4,-,1,+]=>[4,5,1,2,3]
[2,4,+,1,-]=>[3,4,1,2,5]
[2,4,-,1,-]=>[4,1,2,3,5]
[2,4,+,5,1]=>[3,5,1,2,4]
[2,4,-,5,1]=>[5,1,2,3,4]
[2,4,5,1,3]=>[4,5,1,2,3]
[2,4,5,3,1]=>[4,5,1,2,3]
[2,5,1,3,4]=>[3,4,5,1,2]
[2,5,1,+,3]=>[3,4,5,1,2]
[2,5,1,-,3]=>[3,5,1,2,4]
[2,5,+,1,4]=>[3,4,5,1,2]
[2,5,-,1,4]=>[4,5,1,2,3]
[2,5,+,+,1]=>[3,4,5,1,2]
[2,5,-,+,1]=>[4,5,1,2,3]
[2,5,+,-,1]=>[3,5,1,2,4]
[2,5,-,-,1]=>[5,1,2,3,4]
[2,5,4,1,3]=>[4,5,1,2,3]
[2,5,4,3,1]=>[4,5,1,2,3]
[3,1,2,+,+]=>[2,3,4,5,1]
[3,1,2,-,+]=>[2,3,5,1,4]
[3,1,2,+,-]=>[2,3,4,1,5]
[3,1,2,-,-]=>[2,3,1,4,5]
[3,1,2,5,4]=>[2,3,5,1,4]
[3,1,4,2,+]=>[2,4,5,1,3]
[3,1,4,2,-]=>[2,4,1,3,5]
[3,1,4,5,2]=>[2,5,1,3,4]
[3,1,5,2,4]=>[2,4,5,1,3]
[3,1,5,+,2]=>[2,4,5,1,3]
[3,1,5,-,2]=>[2,5,1,3,4]
[3,+,1,+,+]=>[2,3,4,5,1]
[3,-,1,+,+]=>[3,4,5,1,2]
[3,+,1,-,+]=>[2,3,5,1,4]
[3,+,1,+,-]=>[2,3,4,1,5]
[3,-,1,-,+]=>[3,5,1,2,4]
[3,-,1,+,-]=>[3,4,1,2,5]
[3,+,1,-,-]=>[2,3,1,4,5]
[3,-,1,-,-]=>[3,1,2,4,5]
[3,+,1,5,4]=>[2,3,5,1,4]
[3,-,1,5,4]=>[3,5,1,2,4]
[3,+,4,1,+]=>[2,4,5,1,3]
[3,-,4,1,+]=>[4,5,1,2,3]
[3,+,4,1,-]=>[2,4,1,3,5]
[3,-,4,1,-]=>[4,1,2,3,5]
[3,+,4,5,1]=>[2,5,1,3,4]
[3,-,4,5,1]=>[5,1,2,3,4]
[3,+,5,1,4]=>[2,4,5,1,3]
[3,-,5,1,4]=>[4,5,1,2,3]
[3,+,5,+,1]=>[2,4,5,1,3]
[3,-,5,+,1]=>[4,5,1,2,3]
[3,+,5,-,1]=>[2,5,1,3,4]
[3,-,5,-,1]=>[5,1,2,3,4]
[3,4,1,2,+]=>[3,4,5,1,2]
[3,4,1,2,-]=>[3,4,1,2,5]
[3,4,1,5,2]=>[3,5,1,2,4]
[3,4,2,1,+]=>[3,4,5,1,2]
[3,4,2,1,-]=>[3,4,1,2,5]
[3,4,2,5,1]=>[3,5,1,2,4]
[3,4,5,1,2]=>[4,5,1,2,3]
[3,4,5,2,1]=>[4,5,1,2,3]
[3,5,1,2,4]=>[3,4,5,1,2]
[3,5,1,+,2]=>[3,4,5,1,2]
[3,5,1,-,2]=>[3,5,1,2,4]
[3,5,2,1,4]=>[3,4,5,1,2]
[3,5,2,+,1]=>[3,4,5,1,2]
[3,5,2,-,1]=>[3,5,1,2,4]
[3,5,4,1,2]=>[4,5,1,2,3]
[3,5,4,2,1]=>[4,5,1,2,3]
[4,1,2,3,+]=>[2,3,4,5,1]
[4,1,2,3,-]=>[2,3,4,1,5]
[4,1,2,5,3]=>[2,3,5,1,4]
[4,1,+,2,+]=>[2,3,4,5,1]
[4,1,-,2,+]=>[2,4,5,1,3]
[4,1,+,2,-]=>[2,3,4,1,5]
[4,1,-,2,-]=>[2,4,1,3,5]
[4,1,+,5,2]=>[2,3,5,1,4]
[4,1,-,5,2]=>[2,5,1,3,4]
[4,1,5,2,3]=>[2,4,5,1,3]
[4,1,5,3,2]=>[2,4,5,1,3]
[4,+,1,3,+]=>[2,3,4,5,1]
[4,-,1,3,+]=>[3,4,5,1,2]
[4,+,1,3,-]=>[2,3,4,1,5]
[4,-,1,3,-]=>[3,4,1,2,5]
[4,+,1,5,3]=>[2,3,5,1,4]
[4,-,1,5,3]=>[3,5,1,2,4]
[4,+,+,1,+]=>[2,3,4,5,1]
[4,-,+,1,+]=>[3,4,5,1,2]
[4,+,-,1,+]=>[2,4,5,1,3]
[4,+,+,1,-]=>[2,3,4,1,5]
[4,-,-,1,+]=>[4,5,1,2,3]
[4,-,+,1,-]=>[3,4,1,2,5]
[4,+,-,1,-]=>[2,4,1,3,5]
[4,-,-,1,-]=>[4,1,2,3,5]
[4,+,+,5,1]=>[2,3,5,1,4]
[4,-,+,5,1]=>[3,5,1,2,4]
[4,+,-,5,1]=>[2,5,1,3,4]
[4,-,-,5,1]=>[5,1,2,3,4]
[4,+,5,1,3]=>[2,4,5,1,3]
[4,-,5,1,3]=>[4,5,1,2,3]
[4,+,5,3,1]=>[2,4,5,1,3]
[4,-,5,3,1]=>[4,5,1,2,3]
[4,3,1,2,+]=>[3,4,5,1,2]
[4,3,1,2,-]=>[3,4,1,2,5]
[4,3,1,5,2]=>[3,5,1,2,4]
[4,3,2,1,+]=>[3,4,5,1,2]
[4,3,2,1,-]=>[3,4,1,2,5]
[4,3,2,5,1]=>[3,5,1,2,4]
[4,3,5,1,2]=>[4,5,1,2,3]
[4,3,5,2,1]=>[4,5,1,2,3]
[4,5,1,2,3]=>[3,4,5,1,2]
[4,5,1,3,2]=>[3,4,5,1,2]
[4,5,2,1,3]=>[3,4,5,1,2]
[4,5,2,3,1]=>[3,4,5,1,2]
[4,5,+,1,2]=>[3,4,5,1,2]
[4,5,-,1,2]=>[4,5,1,2,3]
[4,5,+,2,1]=>[3,4,5,1,2]
[4,5,-,2,1]=>[4,5,1,2,3]
[5,1,2,3,4]=>[2,3,4,5,1]
[5,1,2,+,3]=>[2,3,4,5,1]
[5,1,2,-,3]=>[2,3,5,1,4]
[5,1,+,2,4]=>[2,3,4,5,1]
[5,1,-,2,4]=>[2,4,5,1,3]
[5,1,+,+,2]=>[2,3,4,5,1]
[5,1,-,+,2]=>[2,4,5,1,3]
[5,1,+,-,2]=>[2,3,5,1,4]
[5,1,-,-,2]=>[2,5,1,3,4]
[5,1,4,2,3]=>[2,4,5,1,3]
[5,1,4,3,2]=>[2,4,5,1,3]
[5,+,1,3,4]=>[2,3,4,5,1]
[5,-,1,3,4]=>[3,4,5,1,2]
[5,+,1,+,3]=>[2,3,4,5,1]
[5,-,1,+,3]=>[3,4,5,1,2]
[5,+,1,-,3]=>[2,3,5,1,4]
[5,-,1,-,3]=>[3,5,1,2,4]
[5,+,+,1,4]=>[2,3,4,5,1]
[5,-,+,1,4]=>[3,4,5,1,2]
[5,+,-,1,4]=>[2,4,5,1,3]
[5,-,-,1,4]=>[4,5,1,2,3]
[5,+,+,+,1]=>[2,3,4,5,1]
[5,-,+,+,1]=>[3,4,5,1,2]
[5,+,-,+,1]=>[2,4,5,1,3]
[5,+,+,-,1]=>[2,3,5,1,4]
[5,-,-,+,1]=>[4,5,1,2,3]
[5,-,+,-,1]=>[3,5,1,2,4]
[5,+,-,-,1]=>[2,5,1,3,4]
[5,-,-,-,1]=>[5,1,2,3,4]
[5,+,4,1,3]=>[2,4,5,1,3]
[5,-,4,1,3]=>[4,5,1,2,3]
[5,+,4,3,1]=>[2,4,5,1,3]
[5,-,4,3,1]=>[4,5,1,2,3]
[5,3,1,2,4]=>[3,4,5,1,2]
[5,3,1,+,2]=>[3,4,5,1,2]
[5,3,1,-,2]=>[3,5,1,2,4]
[5,3,2,1,4]=>[3,4,5,1,2]
[5,3,2,+,1]=>[3,4,5,1,2]
[5,3,2,-,1]=>[3,5,1,2,4]
[5,3,4,1,2]=>[4,5,1,2,3]
[5,3,4,2,1]=>[4,5,1,2,3]
[5,4,1,2,3]=>[3,4,5,1,2]
[5,4,1,3,2]=>[3,4,5,1,2]
[5,4,2,1,3]=>[3,4,5,1,2]
[5,4,2,3,1]=>[3,4,5,1,2]
[5,4,+,1,2]=>[3,4,5,1,2]
[5,4,-,1,2]=>[4,5,1,2,3]
[5,4,+,2,1]=>[3,4,5,1,2]
[5,4,-,2,1]=>[4,5,1,2,3]
[+,+,+,+,+,+]=>[1,2,3,4,5,6]
[-,+,+,+,+,+]=>[2,3,4,5,6,1]
[+,-,+,+,+,+]=>[1,3,4,5,6,2]
[+,+,-,+,+,+]=>[1,2,4,5,6,3]
[+,+,+,-,+,+]=>[1,2,3,5,6,4]
[+,+,+,+,-,+]=>[1,2,3,4,6,5]
[+,+,+,+,+,-]=>[1,2,3,4,5,6]
[-,-,+,+,+,+]=>[3,4,5,6,1,2]
[-,+,-,+,+,+]=>[2,4,5,6,1,3]
[-,+,+,-,+,+]=>[2,3,5,6,1,4]
[-,+,+,+,-,+]=>[2,3,4,6,1,5]
[-,+,+,+,+,-]=>[2,3,4,5,1,6]
[+,-,-,+,+,+]=>[1,4,5,6,2,3]
[+,-,+,-,+,+]=>[1,3,5,6,2,4]
[+,-,+,+,-,+]=>[1,3,4,6,2,5]
[+,-,+,+,+,-]=>[1,3,4,5,2,6]
[+,+,-,-,+,+]=>[1,2,5,6,3,4]
[+,+,-,+,-,+]=>[1,2,4,6,3,5]
[+,+,-,+,+,-]=>[1,2,4,5,3,6]
[+,+,+,-,-,+]=>[1,2,3,6,4,5]
[+,+,+,-,+,-]=>[1,2,3,5,4,6]
[+,+,+,+,-,-]=>[1,2,3,4,5,6]
[-,-,-,+,+,+]=>[4,5,6,1,2,3]
[-,-,+,-,+,+]=>[3,5,6,1,2,4]
[-,-,+,+,-,+]=>[3,4,6,1,2,5]
[-,-,+,+,+,-]=>[3,4,5,1,2,6]
[-,+,-,-,+,+]=>[2,5,6,1,3,4]
[-,+,-,+,-,+]=>[2,4,6,1,3,5]
[-,+,-,+,+,-]=>[2,4,5,1,3,6]
[-,+,+,-,-,+]=>[2,3,6,1,4,5]
[-,+,+,-,+,-]=>[2,3,5,1,4,6]
[-,+,+,+,-,-]=>[2,3,4,1,5,6]
[+,-,-,-,+,+]=>[1,5,6,2,3,4]
[+,-,-,+,-,+]=>[1,4,6,2,3,5]
[+,-,-,+,+,-]=>[1,4,5,2,3,6]
[+,-,+,-,-,+]=>[1,3,6,2,4,5]
[+,-,+,-,+,-]=>[1,3,5,2,4,6]
[+,-,+,+,-,-]=>[1,3,4,2,5,6]
[+,+,-,-,-,+]=>[1,2,6,3,4,5]
[+,+,-,-,+,-]=>[1,2,5,3,4,6]
[+,+,-,+,-,-]=>[1,2,4,3,5,6]
[+,+,+,-,-,-]=>[1,2,3,4,5,6]
[-,-,-,-,+,+]=>[5,6,1,2,3,4]
[-,-,-,+,-,+]=>[4,6,1,2,3,5]
[-,-,-,+,+,-]=>[4,5,1,2,3,6]
[-,-,+,-,-,+]=>[3,6,1,2,4,5]
[-,-,+,-,+,-]=>[3,5,1,2,4,6]
[-,-,+,+,-,-]=>[3,4,1,2,5,6]
[-,+,-,-,-,+]=>[2,6,1,3,4,5]
[-,+,-,-,+,-]=>[2,5,1,3,4,6]
[-,+,-,+,-,-]=>[2,4,1,3,5,6]
[-,+,+,-,-,-]=>[2,3,1,4,5,6]
[+,-,-,-,-,+]=>[1,6,2,3,4,5]
[+,-,-,-,+,-]=>[1,5,2,3,4,6]
[+,-,-,+,-,-]=>[1,4,2,3,5,6]
[+,-,+,-,-,-]=>[1,3,2,4,5,6]
[+,+,-,-,-,-]=>[1,2,3,4,5,6]
[-,-,-,-,-,+]=>[6,1,2,3,4,5]
[-,-,-,-,+,-]=>[5,1,2,3,4,6]
[-,-,-,+,-,-]=>[4,1,2,3,5,6]
[-,-,+,-,-,-]=>[3,1,2,4,5,6]
[-,+,-,-,-,-]=>[2,1,3,4,5,6]
[+,-,-,-,-,-]=>[1,2,3,4,5,6]
[-,-,-,-,-,-]=>[1,2,3,4,5,6]
[+,+,+,+,6,5]=>[1,2,3,4,6,5]
[-,+,+,+,6,5]=>[2,3,4,6,1,5]
[+,-,+,+,6,5]=>[1,3,4,6,2,5]
[+,+,-,+,6,5]=>[1,2,4,6,3,5]
[+,+,+,-,6,5]=>[1,2,3,6,4,5]
[-,-,+,+,6,5]=>[3,4,6,1,2,5]
[-,+,-,+,6,5]=>[2,4,6,1,3,5]
[-,+,+,-,6,5]=>[2,3,6,1,4,5]
[+,-,-,+,6,5]=>[1,4,6,2,3,5]
[+,-,+,-,6,5]=>[1,3,6,2,4,5]
[+,+,-,-,6,5]=>[1,2,6,3,4,5]
[-,-,-,+,6,5]=>[4,6,1,2,3,5]
[-,-,+,-,6,5]=>[3,6,1,2,4,5]
[-,+,-,-,6,5]=>[2,6,1,3,4,5]
[+,-,-,-,6,5]=>[1,6,2,3,4,5]
[-,-,-,-,6,5]=>[6,1,2,3,4,5]
[+,+,+,5,4,+]=>[1,2,3,5,6,4]
[-,+,+,5,4,+]=>[2,3,5,6,1,4]
[+,-,+,5,4,+]=>[1,3,5,6,2,4]
[+,+,-,5,4,+]=>[1,2,5,6,3,4]
[+,+,+,5,4,-]=>[1,2,3,5,4,6]
[-,-,+,5,4,+]=>[3,5,6,1,2,4]
[-,+,-,5,4,+]=>[2,5,6,1,3,4]
[-,+,+,5,4,-]=>[2,3,5,1,4,6]
[+,-,-,5,4,+]=>[1,5,6,2,3,4]
[+,-,+,5,4,-]=>[1,3,5,2,4,6]
[+,+,-,5,4,-]=>[1,2,5,3,4,6]
[-,-,-,5,4,+]=>[5,6,1,2,3,4]
[-,-,+,5,4,-]=>[3,5,1,2,4,6]
[-,+,-,5,4,-]=>[2,5,1,3,4,6]
[+,-,-,5,4,-]=>[1,5,2,3,4,6]
[-,-,-,5,4,-]=>[5,1,2,3,4,6]
[+,+,+,5,6,4]=>[1,2,3,6,4,5]
[-,+,+,5,6,4]=>[2,3,6,1,4,5]
[+,-,+,5,6,4]=>[1,3,6,2,4,5]
[+,+,-,5,6,4]=>[1,2,6,3,4,5]
[-,-,+,5,6,4]=>[3,6,1,2,4,5]
[-,+,-,5,6,4]=>[2,6,1,3,4,5]
[+,-,-,5,6,4]=>[1,6,2,3,4,5]
[-,-,-,5,6,4]=>[6,1,2,3,4,5]
[+,+,+,6,4,5]=>[1,2,3,5,6,4]
[-,+,+,6,4,5]=>[2,3,5,6,1,4]
[+,-,+,6,4,5]=>[1,3,5,6,2,4]
[+,+,-,6,4,5]=>[1,2,5,6,3,4]
[-,-,+,6,4,5]=>[3,5,6,1,2,4]
[-,+,-,6,4,5]=>[2,5,6,1,3,4]
[+,-,-,6,4,5]=>[1,5,6,2,3,4]
[-,-,-,6,4,5]=>[5,6,1,2,3,4]
[+,+,+,6,+,4]=>[1,2,3,5,6,4]
[-,+,+,6,+,4]=>[2,3,5,6,1,4]
[+,-,+,6,+,4]=>[1,3,5,6,2,4]
[+,+,-,6,+,4]=>[1,2,5,6,3,4]
[+,+,+,6,-,4]=>[1,2,3,6,4,5]
[-,-,+,6,+,4]=>[3,5,6,1,2,4]
[-,+,-,6,+,4]=>[2,5,6,1,3,4]
[-,+,+,6,-,4]=>[2,3,6,1,4,5]
[+,-,-,6,+,4]=>[1,5,6,2,3,4]
[+,-,+,6,-,4]=>[1,3,6,2,4,5]
[+,+,-,6,-,4]=>[1,2,6,3,4,5]
[-,-,-,6,+,4]=>[5,6,1,2,3,4]
[-,-,+,6,-,4]=>[3,6,1,2,4,5]
[-,+,-,6,-,4]=>[2,6,1,3,4,5]
[+,-,-,6,-,4]=>[1,6,2,3,4,5]
[-,-,-,6,-,4]=>[6,1,2,3,4,5]
[+,+,4,3,+,+]=>[1,2,4,5,6,3]
[-,+,4,3,+,+]=>[2,4,5,6,1,3]
[+,-,4,3,+,+]=>[1,4,5,6,2,3]
[+,+,4,3,-,+]=>[1,2,4,6,3,5]
[+,+,4,3,+,-]=>[1,2,4,5,3,6]
[-,-,4,3,+,+]=>[4,5,6,1,2,3]
[-,+,4,3,-,+]=>[2,4,6,1,3,5]
[-,+,4,3,+,-]=>[2,4,5,1,3,6]
[+,-,4,3,-,+]=>[1,4,6,2,3,5]
[+,-,4,3,+,-]=>[1,4,5,2,3,6]
[+,+,4,3,-,-]=>[1,2,4,3,5,6]
[-,-,4,3,-,+]=>[4,6,1,2,3,5]
[-,-,4,3,+,-]=>[4,5,1,2,3,6]
[-,+,4,3,-,-]=>[2,4,1,3,5,6]
[+,-,4,3,-,-]=>[1,4,2,3,5,6]
[-,-,4,3,-,-]=>[4,1,2,3,5,6]
[+,+,4,3,6,5]=>[1,2,4,6,3,5]
[-,+,4,3,6,5]=>[2,4,6,1,3,5]
[+,-,4,3,6,5]=>[1,4,6,2,3,5]
[-,-,4,3,6,5]=>[4,6,1,2,3,5]
[+,+,4,5,3,+]=>[1,2,5,6,3,4]
[-,+,4,5,3,+]=>[2,5,6,1,3,4]
[+,-,4,5,3,+]=>[1,5,6,2,3,4]
[+,+,4,5,3,-]=>[1,2,5,3,4,6]
[-,-,4,5,3,+]=>[5,6,1,2,3,4]
[-,+,4,5,3,-]=>[2,5,1,3,4,6]
[+,-,4,5,3,-]=>[1,5,2,3,4,6]
[-,-,4,5,3,-]=>[5,1,2,3,4,6]
[+,+,4,5,6,3]=>[1,2,6,3,4,5]
[-,+,4,5,6,3]=>[2,6,1,3,4,5]
[+,-,4,5,6,3]=>[1,6,2,3,4,5]
[-,-,4,5,6,3]=>[6,1,2,3,4,5]
[+,+,4,6,3,5]=>[1,2,5,6,3,4]
[-,+,4,6,3,5]=>[2,5,6,1,3,4]
[+,-,4,6,3,5]=>[1,5,6,2,3,4]
[-,-,4,6,3,5]=>[5,6,1,2,3,4]
[+,+,4,6,+,3]=>[1,2,5,6,3,4]
[-,+,4,6,+,3]=>[2,5,6,1,3,4]
[+,-,4,6,+,3]=>[1,5,6,2,3,4]
[+,+,4,6,-,3]=>[1,2,6,3,4,5]
[-,-,4,6,+,3]=>[5,6,1,2,3,4]
[-,+,4,6,-,3]=>[2,6,1,3,4,5]
[+,-,4,6,-,3]=>[1,6,2,3,4,5]
[-,-,4,6,-,3]=>[6,1,2,3,4,5]
[+,+,5,3,4,+]=>[1,2,4,5,6,3]
[-,+,5,3,4,+]=>[2,4,5,6,1,3]
[+,-,5,3,4,+]=>[1,4,5,6,2,3]
[+,+,5,3,4,-]=>[1,2,4,5,3,6]
[-,-,5,3,4,+]=>[4,5,6,1,2,3]
[-,+,5,3,4,-]=>[2,4,5,1,3,6]
[+,-,5,3,4,-]=>[1,4,5,2,3,6]
[-,-,5,3,4,-]=>[4,5,1,2,3,6]
[+,+,5,3,6,4]=>[1,2,4,6,3,5]
[-,+,5,3,6,4]=>[2,4,6,1,3,5]
[+,-,5,3,6,4]=>[1,4,6,2,3,5]
[-,-,5,3,6,4]=>[4,6,1,2,3,5]
[+,+,5,+,3,+]=>[1,2,4,5,6,3]
[-,+,5,+,3,+]=>[2,4,5,6,1,3]
[+,-,5,+,3,+]=>[1,4,5,6,2,3]
[+,+,5,-,3,+]=>[1,2,5,6,3,4]
[+,+,5,+,3,-]=>[1,2,4,5,3,6]
[-,-,5,+,3,+]=>[4,5,6,1,2,3]
[-,+,5,-,3,+]=>[2,5,6,1,3,4]
[-,+,5,+,3,-]=>[2,4,5,1,3,6]
[+,-,5,-,3,+]=>[1,5,6,2,3,4]
[+,-,5,+,3,-]=>[1,4,5,2,3,6]
[+,+,5,-,3,-]=>[1,2,5,3,4,6]
[-,-,5,-,3,+]=>[5,6,1,2,3,4]
[-,-,5,+,3,-]=>[4,5,1,2,3,6]
[-,+,5,-,3,-]=>[2,5,1,3,4,6]
[+,-,5,-,3,-]=>[1,5,2,3,4,6]
[-,-,5,-,3,-]=>[5,1,2,3,4,6]
[+,+,5,+,6,3]=>[1,2,4,6,3,5]
[-,+,5,+,6,3]=>[2,4,6,1,3,5]
[+,-,5,+,6,3]=>[1,4,6,2,3,5]
[+,+,5,-,6,3]=>[1,2,6,3,4,5]
[-,-,5,+,6,3]=>[4,6,1,2,3,5]
[-,+,5,-,6,3]=>[2,6,1,3,4,5]
[+,-,5,-,6,3]=>[1,6,2,3,4,5]
[-,-,5,-,6,3]=>[6,1,2,3,4,5]
[+,+,5,6,3,4]=>[1,2,5,6,3,4]
[-,+,5,6,3,4]=>[2,5,6,1,3,4]
[+,-,5,6,3,4]=>[1,5,6,2,3,4]
[-,-,5,6,3,4]=>[5,6,1,2,3,4]
[+,+,5,6,4,3]=>[1,2,5,6,3,4]
[-,+,5,6,4,3]=>[2,5,6,1,3,4]
[+,-,5,6,4,3]=>[1,5,6,2,3,4]
[-,-,5,6,4,3]=>[5,6,1,2,3,4]
[+,+,6,3,4,5]=>[1,2,4,5,6,3]
[-,+,6,3,4,5]=>[2,4,5,6,1,3]
[+,-,6,3,4,5]=>[1,4,5,6,2,3]
[-,-,6,3,4,5]=>[4,5,6,1,2,3]
[+,+,6,3,+,4]=>[1,2,4,5,6,3]
[-,+,6,3,+,4]=>[2,4,5,6,1,3]
[+,-,6,3,+,4]=>[1,4,5,6,2,3]
[+,+,6,3,-,4]=>[1,2,4,6,3,5]
[-,-,6,3,+,4]=>[4,5,6,1,2,3]
[-,+,6,3,-,4]=>[2,4,6,1,3,5]
[+,-,6,3,-,4]=>[1,4,6,2,3,5]
[-,-,6,3,-,4]=>[4,6,1,2,3,5]
[+,+,6,+,3,5]=>[1,2,4,5,6,3]
[-,+,6,+,3,5]=>[2,4,5,6,1,3]
[+,-,6,+,3,5]=>[1,4,5,6,2,3]
[+,+,6,-,3,5]=>[1,2,5,6,3,4]
[-,-,6,+,3,5]=>[4,5,6,1,2,3]
[-,+,6,-,3,5]=>[2,5,6,1,3,4]
[+,-,6,-,3,5]=>[1,5,6,2,3,4]
[-,-,6,-,3,5]=>[5,6,1,2,3,4]
[+,+,6,+,+,3]=>[1,2,4,5,6,3]
[-,+,6,+,+,3]=>[2,4,5,6,1,3]
[+,-,6,+,+,3]=>[1,4,5,6,2,3]
[+,+,6,-,+,3]=>[1,2,5,6,3,4]
[+,+,6,+,-,3]=>[1,2,4,6,3,5]
[-,-,6,+,+,3]=>[4,5,6,1,2,3]
[-,+,6,-,+,3]=>[2,5,6,1,3,4]
[-,+,6,+,-,3]=>[2,4,6,1,3,5]
[+,-,6,-,+,3]=>[1,5,6,2,3,4]
[+,-,6,+,-,3]=>[1,4,6,2,3,5]
[+,+,6,-,-,3]=>[1,2,6,3,4,5]
[-,-,6,-,+,3]=>[5,6,1,2,3,4]
[-,-,6,+,-,3]=>[4,6,1,2,3,5]
[-,+,6,-,-,3]=>[2,6,1,3,4,5]
[+,-,6,-,-,3]=>[1,6,2,3,4,5]
[-,-,6,-,-,3]=>[6,1,2,3,4,5]
[+,+,6,5,3,4]=>[1,2,5,6,3,4]
[-,+,6,5,3,4]=>[2,5,6,1,3,4]
[+,-,6,5,3,4]=>[1,5,6,2,3,4]
[-,-,6,5,3,4]=>[5,6,1,2,3,4]
[+,+,6,5,4,3]=>[1,2,5,6,3,4]
[-,+,6,5,4,3]=>[2,5,6,1,3,4]
[+,-,6,5,4,3]=>[1,5,6,2,3,4]
[-,-,6,5,4,3]=>[5,6,1,2,3,4]
[+,3,2,+,+,+]=>[1,3,4,5,6,2]
[-,3,2,+,+,+]=>[3,4,5,6,1,2]
[+,3,2,-,+,+]=>[1,3,5,6,2,4]
[+,3,2,+,-,+]=>[1,3,4,6,2,5]
[+,3,2,+,+,-]=>[1,3,4,5,2,6]
[-,3,2,-,+,+]=>[3,5,6,1,2,4]
[-,3,2,+,-,+]=>[3,4,6,1,2,5]
[-,3,2,+,+,-]=>[3,4,5,1,2,6]
[+,3,2,-,-,+]=>[1,3,6,2,4,5]
[+,3,2,-,+,-]=>[1,3,5,2,4,6]
[+,3,2,+,-,-]=>[1,3,4,2,5,6]
[-,3,2,-,-,+]=>[3,6,1,2,4,5]
[-,3,2,-,+,-]=>[3,5,1,2,4,6]
[-,3,2,+,-,-]=>[3,4,1,2,5,6]
[+,3,2,-,-,-]=>[1,3,2,4,5,6]
[-,3,2,-,-,-]=>[3,1,2,4,5,6]
[+,3,2,+,6,5]=>[1,3,4,6,2,5]
[-,3,2,+,6,5]=>[3,4,6,1,2,5]
[+,3,2,-,6,5]=>[1,3,6,2,4,5]
[-,3,2,-,6,5]=>[3,6,1,2,4,5]
[+,3,2,5,4,+]=>[1,3,5,6,2,4]
[-,3,2,5,4,+]=>[3,5,6,1,2,4]
[+,3,2,5,4,-]=>[1,3,5,2,4,6]
[-,3,2,5,4,-]=>[3,5,1,2,4,6]
[+,3,2,5,6,4]=>[1,3,6,2,4,5]
[-,3,2,5,6,4]=>[3,6,1,2,4,5]
[+,3,2,6,4,5]=>[1,3,5,6,2,4]
[-,3,2,6,4,5]=>[3,5,6,1,2,4]
[+,3,2,6,+,4]=>[1,3,5,6,2,4]
[-,3,2,6,+,4]=>[3,5,6,1,2,4]
[+,3,2,6,-,4]=>[1,3,6,2,4,5]
[-,3,2,6,-,4]=>[3,6,1,2,4,5]
[+,3,4,2,+,+]=>[1,4,5,6,2,3]
[-,3,4,2,+,+]=>[4,5,6,1,2,3]
[+,3,4,2,-,+]=>[1,4,6,2,3,5]
[+,3,4,2,+,-]=>[1,4,5,2,3,6]
[-,3,4,2,-,+]=>[4,6,1,2,3,5]
[-,3,4,2,+,-]=>[4,5,1,2,3,6]
[+,3,4,2,-,-]=>[1,4,2,3,5,6]
[-,3,4,2,-,-]=>[4,1,2,3,5,6]
[+,3,4,2,6,5]=>[1,4,6,2,3,5]
[-,3,4,2,6,5]=>[4,6,1,2,3,5]
[+,3,4,5,2,+]=>[1,5,6,2,3,4]
[-,3,4,5,2,+]=>[5,6,1,2,3,4]
[+,3,4,5,2,-]=>[1,5,2,3,4,6]
[-,3,4,5,2,-]=>[5,1,2,3,4,6]
[+,3,4,5,6,2]=>[1,6,2,3,4,5]
[-,3,4,5,6,2]=>[6,1,2,3,4,5]
[+,3,4,6,2,5]=>[1,5,6,2,3,4]
[-,3,4,6,2,5]=>[5,6,1,2,3,4]
[+,3,4,6,+,2]=>[1,5,6,2,3,4]
[-,3,4,6,+,2]=>[5,6,1,2,3,4]
[+,3,4,6,-,2]=>[1,6,2,3,4,5]
[-,3,4,6,-,2]=>[6,1,2,3,4,5]
[+,3,5,2,4,+]=>[1,4,5,6,2,3]
[-,3,5,2,4,+]=>[4,5,6,1,2,3]
[+,3,5,2,4,-]=>[1,4,5,2,3,6]
[-,3,5,2,4,-]=>[4,5,1,2,3,6]
[+,3,5,2,6,4]=>[1,4,6,2,3,5]
[-,3,5,2,6,4]=>[4,6,1,2,3,5]
[+,3,5,+,2,+]=>[1,4,5,6,2,3]
[-,3,5,+,2,+]=>[4,5,6,1,2,3]
[+,3,5,-,2,+]=>[1,5,6,2,3,4]
[+,3,5,+,2,-]=>[1,4,5,2,3,6]
[-,3,5,-,2,+]=>[5,6,1,2,3,4]
[-,3,5,+,2,-]=>[4,5,1,2,3,6]
[+,3,5,-,2,-]=>[1,5,2,3,4,6]
[-,3,5,-,2,-]=>[5,1,2,3,4,6]
[+,3,5,+,6,2]=>[1,4,6,2,3,5]
[-,3,5,+,6,2]=>[4,6,1,2,3,5]
[+,3,5,-,6,2]=>[1,6,2,3,4,5]
[-,3,5,-,6,2]=>[6,1,2,3,4,5]
[+,3,5,6,2,4]=>[1,5,6,2,3,4]
[-,3,5,6,2,4]=>[5,6,1,2,3,4]
[+,3,5,6,4,2]=>[1,5,6,2,3,4]
[-,3,5,6,4,2]=>[5,6,1,2,3,4]
[+,3,6,2,4,5]=>[1,4,5,6,2,3]
[-,3,6,2,4,5]=>[4,5,6,1,2,3]
[+,3,6,2,+,4]=>[1,4,5,6,2,3]
[-,3,6,2,+,4]=>[4,5,6,1,2,3]
[+,3,6,2,-,4]=>[1,4,6,2,3,5]
[-,3,6,2,-,4]=>[4,6,1,2,3,5]
[+,3,6,+,2,5]=>[1,4,5,6,2,3]
[-,3,6,+,2,5]=>[4,5,6,1,2,3]
[+,3,6,-,2,5]=>[1,5,6,2,3,4]
[-,3,6,-,2,5]=>[5,6,1,2,3,4]
[+,3,6,+,+,2]=>[1,4,5,6,2,3]
[-,3,6,+,+,2]=>[4,5,6,1,2,3]
[+,3,6,-,+,2]=>[1,5,6,2,3,4]
[+,3,6,+,-,2]=>[1,4,6,2,3,5]
[-,3,6,-,+,2]=>[5,6,1,2,3,4]
[-,3,6,+,-,2]=>[4,6,1,2,3,5]
[+,3,6,-,-,2]=>[1,6,2,3,4,5]
[-,3,6,-,-,2]=>[6,1,2,3,4,5]
[+,3,6,5,2,4]=>[1,5,6,2,3,4]
[-,3,6,5,2,4]=>[5,6,1,2,3,4]
[+,3,6,5,4,2]=>[1,5,6,2,3,4]
[-,3,6,5,4,2]=>[5,6,1,2,3,4]
[+,4,2,3,+,+]=>[1,3,4,5,6,2]
[-,4,2,3,+,+]=>[3,4,5,6,1,2]
[+,4,2,3,-,+]=>[1,3,4,6,2,5]
[+,4,2,3,+,-]=>[1,3,4,5,2,6]
[-,4,2,3,-,+]=>[3,4,6,1,2,5]
[-,4,2,3,+,-]=>[3,4,5,1,2,6]
[+,4,2,3,-,-]=>[1,3,4,2,5,6]
[-,4,2,3,-,-]=>[3,4,1,2,5,6]
[+,4,2,3,6,5]=>[1,3,4,6,2,5]
[-,4,2,3,6,5]=>[3,4,6,1,2,5]
[+,4,2,5,3,+]=>[1,3,5,6,2,4]
[-,4,2,5,3,+]=>[3,5,6,1,2,4]
[+,4,2,5,3,-]=>[1,3,5,2,4,6]
[-,4,2,5,3,-]=>[3,5,1,2,4,6]
[+,4,2,5,6,3]=>[1,3,6,2,4,5]
[-,4,2,5,6,3]=>[3,6,1,2,4,5]
[+,4,2,6,3,5]=>[1,3,5,6,2,4]
[-,4,2,6,3,5]=>[3,5,6,1,2,4]
[+,4,2,6,+,3]=>[1,3,5,6,2,4]
[-,4,2,6,+,3]=>[3,5,6,1,2,4]
[+,4,2,6,-,3]=>[1,3,6,2,4,5]
[-,4,2,6,-,3]=>[3,6,1,2,4,5]
[+,4,+,2,+,+]=>[1,3,4,5,6,2]
[-,4,+,2,+,+]=>[3,4,5,6,1,2]
[+,4,-,2,+,+]=>[1,4,5,6,2,3]
[+,4,+,2,-,+]=>[1,3,4,6,2,5]
[+,4,+,2,+,-]=>[1,3,4,5,2,6]
[-,4,-,2,+,+]=>[4,5,6,1,2,3]
[-,4,+,2,-,+]=>[3,4,6,1,2,5]
[-,4,+,2,+,-]=>[3,4,5,1,2,6]
[+,4,-,2,-,+]=>[1,4,6,2,3,5]
[+,4,-,2,+,-]=>[1,4,5,2,3,6]
[+,4,+,2,-,-]=>[1,3,4,2,5,6]
[-,4,-,2,-,+]=>[4,6,1,2,3,5]
[-,4,-,2,+,-]=>[4,5,1,2,3,6]
[-,4,+,2,-,-]=>[3,4,1,2,5,6]
[+,4,-,2,-,-]=>[1,4,2,3,5,6]
[-,4,-,2,-,-]=>[4,1,2,3,5,6]
[+,4,+,2,6,5]=>[1,3,4,6,2,5]
[-,4,+,2,6,5]=>[3,4,6,1,2,5]
[+,4,-,2,6,5]=>[1,4,6,2,3,5]
[-,4,-,2,6,5]=>[4,6,1,2,3,5]
[+,4,+,5,2,+]=>[1,3,5,6,2,4]
[-,4,+,5,2,+]=>[3,5,6,1,2,4]
[+,4,-,5,2,+]=>[1,5,6,2,3,4]
[+,4,+,5,2,-]=>[1,3,5,2,4,6]
[-,4,-,5,2,+]=>[5,6,1,2,3,4]
[-,4,+,5,2,-]=>[3,5,1,2,4,6]
[+,4,-,5,2,-]=>[1,5,2,3,4,6]
[-,4,-,5,2,-]=>[5,1,2,3,4,6]
[+,4,+,5,6,2]=>[1,3,6,2,4,5]
[-,4,+,5,6,2]=>[3,6,1,2,4,5]
[+,4,-,5,6,2]=>[1,6,2,3,4,5]
[-,4,-,5,6,2]=>[6,1,2,3,4,5]
[+,4,+,6,2,5]=>[1,3,5,6,2,4]
[-,4,+,6,2,5]=>[3,5,6,1,2,4]
[+,4,-,6,2,5]=>[1,5,6,2,3,4]
[-,4,-,6,2,5]=>[5,6,1,2,3,4]
[+,4,+,6,+,2]=>[1,3,5,6,2,4]
[-,4,+,6,+,2]=>[3,5,6,1,2,4]
[+,4,-,6,+,2]=>[1,5,6,2,3,4]
[+,4,+,6,-,2]=>[1,3,6,2,4,5]
[-,4,-,6,+,2]=>[5,6,1,2,3,4]
[-,4,+,6,-,2]=>[3,6,1,2,4,5]
[+,4,-,6,-,2]=>[1,6,2,3,4,5]
[-,4,-,6,-,2]=>[6,1,2,3,4,5]
[+,4,5,2,3,+]=>[1,4,5,6,2,3]
[-,4,5,2,3,+]=>[4,5,6,1,2,3]
[+,4,5,2,3,-]=>[1,4,5,2,3,6]
[-,4,5,2,3,-]=>[4,5,1,2,3,6]
[+,4,5,2,6,3]=>[1,4,6,2,3,5]
[-,4,5,2,6,3]=>[4,6,1,2,3,5]
[+,4,5,3,2,+]=>[1,4,5,6,2,3]
[-,4,5,3,2,+]=>[4,5,6,1,2,3]
[+,4,5,3,2,-]=>[1,4,5,2,3,6]
[-,4,5,3,2,-]=>[4,5,1,2,3,6]
[+,4,5,3,6,2]=>[1,4,6,2,3,5]
[-,4,5,3,6,2]=>[4,6,1,2,3,5]
[+,4,5,6,2,3]=>[1,5,6,2,3,4]
[-,4,5,6,2,3]=>[5,6,1,2,3,4]
[+,4,5,6,3,2]=>[1,5,6,2,3,4]
[-,4,5,6,3,2]=>[5,6,1,2,3,4]
[+,4,6,2,3,5]=>[1,4,5,6,2,3]
[-,4,6,2,3,5]=>[4,5,6,1,2,3]
[+,4,6,2,+,3]=>[1,4,5,6,2,3]
[-,4,6,2,+,3]=>[4,5,6,1,2,3]
[+,4,6,2,-,3]=>[1,4,6,2,3,5]
[-,4,6,2,-,3]=>[4,6,1,2,3,5]
[+,4,6,3,2,5]=>[1,4,5,6,2,3]
[-,4,6,3,2,5]=>[4,5,6,1,2,3]
[+,4,6,3,+,2]=>[1,4,5,6,2,3]
[-,4,6,3,+,2]=>[4,5,6,1,2,3]
[+,4,6,3,-,2]=>[1,4,6,2,3,5]
[-,4,6,3,-,2]=>[4,6,1,2,3,5]
[+,4,6,5,2,3]=>[1,5,6,2,3,4]
[-,4,6,5,2,3]=>[5,6,1,2,3,4]
[+,4,6,5,3,2]=>[1,5,6,2,3,4]
[-,4,6,5,3,2]=>[5,6,1,2,3,4]
[+,5,2,3,4,+]=>[1,3,4,5,6,2]
[-,5,2,3,4,+]=>[3,4,5,6,1,2]
[+,5,2,3,4,-]=>[1,3,4,5,2,6]
[-,5,2,3,4,-]=>[3,4,5,1,2,6]
[+,5,2,3,6,4]=>[1,3,4,6,2,5]
[-,5,2,3,6,4]=>[3,4,6,1,2,5]
[+,5,2,+,3,+]=>[1,3,4,5,6,2]
[-,5,2,+,3,+]=>[3,4,5,6,1,2]
[+,5,2,-,3,+]=>[1,3,5,6,2,4]
[+,5,2,+,3,-]=>[1,3,4,5,2,6]
[-,5,2,-,3,+]=>[3,5,6,1,2,4]
[-,5,2,+,3,-]=>[3,4,5,1,2,6]
[+,5,2,-,3,-]=>[1,3,5,2,4,6]
[-,5,2,-,3,-]=>[3,5,1,2,4,6]
[+,5,2,+,6,3]=>[1,3,4,6,2,5]
[-,5,2,+,6,3]=>[3,4,6,1,2,5]
[+,5,2,-,6,3]=>[1,3,6,2,4,5]
[-,5,2,-,6,3]=>[3,6,1,2,4,5]
[+,5,2,6,3,4]=>[1,3,5,6,2,4]
[-,5,2,6,3,4]=>[3,5,6,1,2,4]
[+,5,2,6,4,3]=>[1,3,5,6,2,4]
[-,5,2,6,4,3]=>[3,5,6,1,2,4]
[+,5,+,2,4,+]=>[1,3,4,5,6,2]
[-,5,+,2,4,+]=>[3,4,5,6,1,2]
[+,5,-,2,4,+]=>[1,4,5,6,2,3]
[+,5,+,2,4,-]=>[1,3,4,5,2,6]
[-,5,-,2,4,+]=>[4,5,6,1,2,3]
[-,5,+,2,4,-]=>[3,4,5,1,2,6]
[+,5,-,2,4,-]=>[1,4,5,2,3,6]
[-,5,-,2,4,-]=>[4,5,1,2,3,6]
[+,5,+,2,6,4]=>[1,3,4,6,2,5]
[-,5,+,2,6,4]=>[3,4,6,1,2,5]
[+,5,-,2,6,4]=>[1,4,6,2,3,5]
[-,5,-,2,6,4]=>[4,6,1,2,3,5]
[+,5,+,+,2,+]=>[1,3,4,5,6,2]
[-,5,+,+,2,+]=>[3,4,5,6,1,2]
[+,5,-,+,2,+]=>[1,4,5,6,2,3]
[+,5,+,-,2,+]=>[1,3,5,6,2,4]
[+,5,+,+,2,-]=>[1,3,4,5,2,6]
[-,5,-,+,2,+]=>[4,5,6,1,2,3]
[-,5,+,-,2,+]=>[3,5,6,1,2,4]
[-,5,+,+,2,-]=>[3,4,5,1,2,6]
[+,5,-,-,2,+]=>[1,5,6,2,3,4]
[+,5,-,+,2,-]=>[1,4,5,2,3,6]
[+,5,+,-,2,-]=>[1,3,5,2,4,6]
[-,5,-,-,2,+]=>[5,6,1,2,3,4]
[-,5,-,+,2,-]=>[4,5,1,2,3,6]
[-,5,+,-,2,-]=>[3,5,1,2,4,6]
[+,5,-,-,2,-]=>[1,5,2,3,4,6]
[-,5,-,-,2,-]=>[5,1,2,3,4,6]
[+,5,+,+,6,2]=>[1,3,4,6,2,5]
[-,5,+,+,6,2]=>[3,4,6,1,2,5]
[+,5,-,+,6,2]=>[1,4,6,2,3,5]
[+,5,+,-,6,2]=>[1,3,6,2,4,5]
[-,5,-,+,6,2]=>[4,6,1,2,3,5]
[-,5,+,-,6,2]=>[3,6,1,2,4,5]
[+,5,-,-,6,2]=>[1,6,2,3,4,5]
[-,5,-,-,6,2]=>[6,1,2,3,4,5]
[+,5,+,6,2,4]=>[1,3,5,6,2,4]
[-,5,+,6,2,4]=>[3,5,6,1,2,4]
[+,5,-,6,2,4]=>[1,5,6,2,3,4]
[-,5,-,6,2,4]=>[5,6,1,2,3,4]
[+,5,+,6,4,2]=>[1,3,5,6,2,4]
[-,5,+,6,4,2]=>[3,5,6,1,2,4]
[+,5,-,6,4,2]=>[1,5,6,2,3,4]
[-,5,-,6,4,2]=>[5,6,1,2,3,4]
[+,5,4,2,3,+]=>[1,4,5,6,2,3]
[-,5,4,2,3,+]=>[4,5,6,1,2,3]
[+,5,4,2,3,-]=>[1,4,5,2,3,6]
[-,5,4,2,3,-]=>[4,5,1,2,3,6]
[+,5,4,2,6,3]=>[1,4,6,2,3,5]
[-,5,4,2,6,3]=>[4,6,1,2,3,5]
[+,5,4,3,2,+]=>[1,4,5,6,2,3]
[-,5,4,3,2,+]=>[4,5,6,1,2,3]
[+,5,4,3,2,-]=>[1,4,5,2,3,6]
[-,5,4,3,2,-]=>[4,5,1,2,3,6]
[+,5,4,3,6,2]=>[1,4,6,2,3,5]
[-,5,4,3,6,2]=>[4,6,1,2,3,5]
[+,5,4,6,2,3]=>[1,5,6,2,3,4]
[-,5,4,6,2,3]=>[5,6,1,2,3,4]
[+,5,4,6,3,2]=>[1,5,6,2,3,4]
[-,5,4,6,3,2]=>[5,6,1,2,3,4]
[+,5,6,2,3,4]=>[1,4,5,6,2,3]
[-,5,6,2,3,4]=>[4,5,6,1,2,3]
[+,5,6,2,4,3]=>[1,4,5,6,2,3]
[-,5,6,2,4,3]=>[4,5,6,1,2,3]
[+,5,6,3,2,4]=>[1,4,5,6,2,3]
[-,5,6,3,2,4]=>[4,5,6,1,2,3]
[+,5,6,3,4,2]=>[1,4,5,6,2,3]
[-,5,6,3,4,2]=>[4,5,6,1,2,3]
[+,5,6,+,2,3]=>[1,4,5,6,2,3]
[-,5,6,+,2,3]=>[4,5,6,1,2,3]
[+,5,6,-,2,3]=>[1,5,6,2,3,4]
[-,5,6,-,2,3]=>[5,6,1,2,3,4]
[+,5,6,+,3,2]=>[1,4,5,6,2,3]
[-,5,6,+,3,2]=>[4,5,6,1,2,3]
[+,5,6,-,3,2]=>[1,5,6,2,3,4]
[-,5,6,-,3,2]=>[5,6,1,2,3,4]
[+,6,2,3,4,5]=>[1,3,4,5,6,2]
[-,6,2,3,4,5]=>[3,4,5,6,1,2]
[+,6,2,3,+,4]=>[1,3,4,5,6,2]
[-,6,2,3,+,4]=>[3,4,5,6,1,2]
[+,6,2,3,-,4]=>[1,3,4,6,2,5]
[-,6,2,3,-,4]=>[3,4,6,1,2,5]
[+,6,2,+,3,5]=>[1,3,4,5,6,2]
[-,6,2,+,3,5]=>[3,4,5,6,1,2]
[+,6,2,-,3,5]=>[1,3,5,6,2,4]
[-,6,2,-,3,5]=>[3,5,6,1,2,4]
[+,6,2,+,+,3]=>[1,3,4,5,6,2]
[-,6,2,+,+,3]=>[3,4,5,6,1,2]
[+,6,2,-,+,3]=>[1,3,5,6,2,4]
[+,6,2,+,-,3]=>[1,3,4,6,2,5]
[-,6,2,-,+,3]=>[3,5,6,1,2,4]
[-,6,2,+,-,3]=>[3,4,6,1,2,5]
[+,6,2,-,-,3]=>[1,3,6,2,4,5]
[-,6,2,-,-,3]=>[3,6,1,2,4,5]
[+,6,2,5,3,4]=>[1,3,5,6,2,4]
[-,6,2,5,3,4]=>[3,5,6,1,2,4]
[+,6,2,5,4,3]=>[1,3,5,6,2,4]
[-,6,2,5,4,3]=>[3,5,6,1,2,4]
[+,6,+,2,4,5]=>[1,3,4,5,6,2]
[-,6,+,2,4,5]=>[3,4,5,6,1,2]
[+,6,-,2,4,5]=>[1,4,5,6,2,3]
[-,6,-,2,4,5]=>[4,5,6,1,2,3]
[+,6,+,2,+,4]=>[1,3,4,5,6,2]
[-,6,+,2,+,4]=>[3,4,5,6,1,2]
[+,6,-,2,+,4]=>[1,4,5,6,2,3]
[+,6,+,2,-,4]=>[1,3,4,6,2,5]
[-,6,-,2,+,4]=>[4,5,6,1,2,3]
[-,6,+,2,-,4]=>[3,4,6,1,2,5]
[+,6,-,2,-,4]=>[1,4,6,2,3,5]
[-,6,-,2,-,4]=>[4,6,1,2,3,5]
[+,6,+,+,2,5]=>[1,3,4,5,6,2]
[-,6,+,+,2,5]=>[3,4,5,6,1,2]
[+,6,-,+,2,5]=>[1,4,5,6,2,3]
[+,6,+,-,2,5]=>[1,3,5,6,2,4]
[-,6,-,+,2,5]=>[4,5,6,1,2,3]
[-,6,+,-,2,5]=>[3,5,6,1,2,4]
[+,6,-,-,2,5]=>[1,5,6,2,3,4]
[-,6,-,-,2,5]=>[5,6,1,2,3,4]
[+,6,+,+,+,2]=>[1,3,4,5,6,2]
[-,6,+,+,+,2]=>[3,4,5,6,1,2]
[+,6,-,+,+,2]=>[1,4,5,6,2,3]
[+,6,+,-,+,2]=>[1,3,5,6,2,4]
[+,6,+,+,-,2]=>[1,3,4,6,2,5]
[-,6,-,+,+,2]=>[4,5,6,1,2,3]
[-,6,+,-,+,2]=>[3,5,6,1,2,4]
[-,6,+,+,-,2]=>[3,4,6,1,2,5]
[+,6,-,-,+,2]=>[1,5,6,2,3,4]
[+,6,-,+,-,2]=>[1,4,6,2,3,5]
[+,6,+,-,-,2]=>[1,3,6,2,4,5]
[-,6,-,-,+,2]=>[5,6,1,2,3,4]
[-,6,-,+,-,2]=>[4,6,1,2,3,5]
[-,6,+,-,-,2]=>[3,6,1,2,4,5]
[+,6,-,-,-,2]=>[1,6,2,3,4,5]
[-,6,-,-,-,2]=>[6,1,2,3,4,5]
[+,6,+,5,2,4]=>[1,3,5,6,2,4]
[-,6,+,5,2,4]=>[3,5,6,1,2,4]
[+,6,-,5,2,4]=>[1,5,6,2,3,4]
[-,6,-,5,2,4]=>[5,6,1,2,3,4]
[+,6,+,5,4,2]=>[1,3,5,6,2,4]
[-,6,+,5,4,2]=>[3,5,6,1,2,4]
[+,6,-,5,4,2]=>[1,5,6,2,3,4]
[-,6,-,5,4,2]=>[5,6,1,2,3,4]
[+,6,4,2,3,5]=>[1,4,5,6,2,3]
[-,6,4,2,3,5]=>[4,5,6,1,2,3]
[+,6,4,2,+,3]=>[1,4,5,6,2,3]
[-,6,4,2,+,3]=>[4,5,6,1,2,3]
[+,6,4,2,-,3]=>[1,4,6,2,3,5]
[-,6,4,2,-,3]=>[4,6,1,2,3,5]
[+,6,4,3,2,5]=>[1,4,5,6,2,3]
[-,6,4,3,2,5]=>[4,5,6,1,2,3]
[+,6,4,3,+,2]=>[1,4,5,6,2,3]
[-,6,4,3,+,2]=>[4,5,6,1,2,3]
[+,6,4,3,-,2]=>[1,4,6,2,3,5]
[-,6,4,3,-,2]=>[4,6,1,2,3,5]
[+,6,4,5,2,3]=>[1,5,6,2,3,4]
[-,6,4,5,2,3]=>[5,6,1,2,3,4]
[+,6,4,5,3,2]=>[1,5,6,2,3,4]
[-,6,4,5,3,2]=>[5,6,1,2,3,4]
[+,6,5,2,3,4]=>[1,4,5,6,2,3]
[-,6,5,2,3,4]=>[4,5,6,1,2,3]
[+,6,5,2,4,3]=>[1,4,5,6,2,3]
[-,6,5,2,4,3]=>[4,5,6,1,2,3]
[+,6,5,3,2,4]=>[1,4,5,6,2,3]
[-,6,5,3,2,4]=>[4,5,6,1,2,3]
[+,6,5,3,4,2]=>[1,4,5,6,2,3]
[-,6,5,3,4,2]=>[4,5,6,1,2,3]
[+,6,5,+,2,3]=>[1,4,5,6,2,3]
[-,6,5,+,2,3]=>[4,5,6,1,2,3]
[+,6,5,-,2,3]=>[1,5,6,2,3,4]
[-,6,5,-,2,3]=>[5,6,1,2,3,4]
[+,6,5,+,3,2]=>[1,4,5,6,2,3]
[-,6,5,+,3,2]=>[4,5,6,1,2,3]
[+,6,5,-,3,2]=>[1,5,6,2,3,4]
[-,6,5,-,3,2]=>[5,6,1,2,3,4]
[2,1,+,+,+,+]=>[2,3,4,5,6,1]
[2,1,-,+,+,+]=>[2,4,5,6,1,3]
[2,1,+,-,+,+]=>[2,3,5,6,1,4]
[2,1,+,+,-,+]=>[2,3,4,6,1,5]
[2,1,+,+,+,-]=>[2,3,4,5,1,6]
[2,1,-,-,+,+]=>[2,5,6,1,3,4]
[2,1,-,+,-,+]=>[2,4,6,1,3,5]
[2,1,-,+,+,-]=>[2,4,5,1,3,6]
[2,1,+,-,-,+]=>[2,3,6,1,4,5]
[2,1,+,-,+,-]=>[2,3,5,1,4,6]
[2,1,+,+,-,-]=>[2,3,4,1,5,6]
[2,1,-,-,-,+]=>[2,6,1,3,4,5]
[2,1,-,-,+,-]=>[2,5,1,3,4,6]
[2,1,-,+,-,-]=>[2,4,1,3,5,6]
[2,1,+,-,-,-]=>[2,3,1,4,5,6]
[2,1,-,-,-,-]=>[2,1,3,4,5,6]
[2,1,+,+,6,5]=>[2,3,4,6,1,5]
[2,1,-,+,6,5]=>[2,4,6,1,3,5]
[2,1,+,-,6,5]=>[2,3,6,1,4,5]
[2,1,-,-,6,5]=>[2,6,1,3,4,5]
[2,1,+,5,4,+]=>[2,3,5,6,1,4]
[2,1,-,5,4,+]=>[2,5,6,1,3,4]
[2,1,+,5,4,-]=>[2,3,5,1,4,6]
[2,1,-,5,4,-]=>[2,5,1,3,4,6]
[2,1,+,5,6,4]=>[2,3,6,1,4,5]
[2,1,-,5,6,4]=>[2,6,1,3,4,5]
[2,1,+,6,4,5]=>[2,3,5,6,1,4]
[2,1,-,6,4,5]=>[2,5,6,1,3,4]
[2,1,+,6,+,4]=>[2,3,5,6,1,4]
[2,1,-,6,+,4]=>[2,5,6,1,3,4]
[2,1,+,6,-,4]=>[2,3,6,1,4,5]
[2,1,-,6,-,4]=>[2,6,1,3,4,5]
[2,1,4,3,+,+]=>[2,4,5,6,1,3]
[2,1,4,3,-,+]=>[2,4,6,1,3,5]
[2,1,4,3,+,-]=>[2,4,5,1,3,6]
[2,1,4,3,-,-]=>[2,4,1,3,5,6]
[2,1,4,3,6,5]=>[2,4,6,1,3,5]
[2,1,4,5,3,+]=>[2,5,6,1,3,4]
[2,1,4,5,3,-]=>[2,5,1,3,4,6]
[2,1,4,5,6,3]=>[2,6,1,3,4,5]
[2,1,4,6,3,5]=>[2,5,6,1,3,4]
[2,1,4,6,+,3]=>[2,5,6,1,3,4]
[2,1,4,6,-,3]=>[2,6,1,3,4,5]
[2,1,5,3,4,+]=>[2,4,5,6,1,3]
[2,1,5,3,4,-]=>[2,4,5,1,3,6]
[2,1,5,3,6,4]=>[2,4,6,1,3,5]
[2,1,5,+,3,+]=>[2,4,5,6,1,3]
[2,1,5,-,3,+]=>[2,5,6,1,3,4]
[2,1,5,+,3,-]=>[2,4,5,1,3,6]
[2,1,5,-,3,-]=>[2,5,1,3,4,6]
[2,1,5,+,6,3]=>[2,4,6,1,3,5]
[2,1,5,-,6,3]=>[2,6,1,3,4,5]
[2,1,5,6,3,4]=>[2,5,6,1,3,4]
[2,1,5,6,4,3]=>[2,5,6,1,3,4]
[2,1,6,3,4,5]=>[2,4,5,6,1,3]
[2,1,6,3,+,4]=>[2,4,5,6,1,3]
[2,1,6,3,-,4]=>[2,4,6,1,3,5]
[2,1,6,+,3,5]=>[2,4,5,6,1,3]
[2,1,6,-,3,5]=>[2,5,6,1,3,4]
[2,1,6,+,+,3]=>[2,4,5,6,1,3]
[2,1,6,-,+,3]=>[2,5,6,1,3,4]
[2,1,6,+,-,3]=>[2,4,6,1,3,5]
[2,1,6,-,-,3]=>[2,6,1,3,4,5]
[2,1,6,5,3,4]=>[2,5,6,1,3,4]
[2,1,6,5,4,3]=>[2,5,6,1,3,4]
[2,3,1,+,+,+]=>[3,4,5,6,1,2]
[2,3,1,-,+,+]=>[3,5,6,1,2,4]
[2,3,1,+,-,+]=>[3,4,6,1,2,5]
[2,3,1,+,+,-]=>[3,4,5,1,2,6]
[2,3,1,-,-,+]=>[3,6,1,2,4,5]
[2,3,1,-,+,-]=>[3,5,1,2,4,6]
[2,3,1,+,-,-]=>[3,4,1,2,5,6]
[2,3,1,-,-,-]=>[3,1,2,4,5,6]
[2,3,1,+,6,5]=>[3,4,6,1,2,5]
[2,3,1,-,6,5]=>[3,6,1,2,4,5]
[2,3,1,5,4,+]=>[3,5,6,1,2,4]
[2,3,1,5,4,-]=>[3,5,1,2,4,6]
[2,3,1,5,6,4]=>[3,6,1,2,4,5]
[2,3,1,6,4,5]=>[3,5,6,1,2,4]
[2,3,1,6,+,4]=>[3,5,6,1,2,4]
[2,3,1,6,-,4]=>[3,6,1,2,4,5]
[2,3,4,1,+,+]=>[4,5,6,1,2,3]
[2,3,4,1,-,+]=>[4,6,1,2,3,5]
[2,3,4,1,+,-]=>[4,5,1,2,3,6]
[2,3,4,1,-,-]=>[4,1,2,3,5,6]
[2,3,4,1,6,5]=>[4,6,1,2,3,5]
[2,3,4,5,1,+]=>[5,6,1,2,3,4]
[2,3,4,5,1,-]=>[5,1,2,3,4,6]
[2,3,4,5,6,1]=>[6,1,2,3,4,5]
[2,3,4,6,1,5]=>[5,6,1,2,3,4]
[2,3,4,6,+,1]=>[5,6,1,2,3,4]
[2,3,4,6,-,1]=>[6,1,2,3,4,5]
[2,3,5,1,4,+]=>[4,5,6,1,2,3]
[2,3,5,1,4,-]=>[4,5,1,2,3,6]
[2,3,5,1,6,4]=>[4,6,1,2,3,5]
[2,3,5,+,1,+]=>[4,5,6,1,2,3]
[2,3,5,-,1,+]=>[5,6,1,2,3,4]
[2,3,5,+,1,-]=>[4,5,1,2,3,6]
[2,3,5,-,1,-]=>[5,1,2,3,4,6]
[2,3,5,+,6,1]=>[4,6,1,2,3,5]
[2,3,5,-,6,1]=>[6,1,2,3,4,5]
[2,3,5,6,1,4]=>[5,6,1,2,3,4]
[2,3,5,6,4,1]=>[5,6,1,2,3,4]
[2,3,6,1,4,5]=>[4,5,6,1,2,3]
[2,3,6,1,+,4]=>[4,5,6,1,2,3]
[2,3,6,1,-,4]=>[4,6,1,2,3,5]
[2,3,6,+,1,5]=>[4,5,6,1,2,3]
[2,3,6,-,1,5]=>[5,6,1,2,3,4]
[2,3,6,+,+,1]=>[4,5,6,1,2,3]
[2,3,6,-,+,1]=>[5,6,1,2,3,4]
[2,3,6,+,-,1]=>[4,6,1,2,3,5]
[2,3,6,-,-,1]=>[6,1,2,3,4,5]
[2,3,6,5,1,4]=>[5,6,1,2,3,4]
[2,3,6,5,4,1]=>[5,6,1,2,3,4]
[2,4,1,3,+,+]=>[3,4,5,6,1,2]
[2,4,1,3,-,+]=>[3,4,6,1,2,5]
[2,4,1,3,+,-]=>[3,4,5,1,2,6]
[2,4,1,3,-,-]=>[3,4,1,2,5,6]
[2,4,1,3,6,5]=>[3,4,6,1,2,5]
[2,4,1,5,3,+]=>[3,5,6,1,2,4]
[2,4,1,5,3,-]=>[3,5,1,2,4,6]
[2,4,1,5,6,3]=>[3,6,1,2,4,5]
[2,4,1,6,3,5]=>[3,5,6,1,2,4]
[2,4,1,6,+,3]=>[3,5,6,1,2,4]
[2,4,1,6,-,3]=>[3,6,1,2,4,5]
[2,4,+,1,+,+]=>[3,4,5,6,1,2]
[2,4,-,1,+,+]=>[4,5,6,1,2,3]
[2,4,+,1,-,+]=>[3,4,6,1,2,5]
[2,4,+,1,+,-]=>[3,4,5,1,2,6]
[2,4,-,1,-,+]=>[4,6,1,2,3,5]
[2,4,-,1,+,-]=>[4,5,1,2,3,6]
[2,4,+,1,-,-]=>[3,4,1,2,5,6]
[2,4,-,1,-,-]=>[4,1,2,3,5,6]
[2,4,+,1,6,5]=>[3,4,6,1,2,5]
[2,4,-,1,6,5]=>[4,6,1,2,3,5]
[2,4,+,5,1,+]=>[3,5,6,1,2,4]
[2,4,-,5,1,+]=>[5,6,1,2,3,4]
[2,4,+,5,1,-]=>[3,5,1,2,4,6]
[2,4,-,5,1,-]=>[5,1,2,3,4,6]
[2,4,+,5,6,1]=>[3,6,1,2,4,5]
[2,4,-,5,6,1]=>[6,1,2,3,4,5]
[2,4,+,6,1,5]=>[3,5,6,1,2,4]
[2,4,-,6,1,5]=>[5,6,1,2,3,4]
[2,4,+,6,+,1]=>[3,5,6,1,2,4]
[2,4,-,6,+,1]=>[5,6,1,2,3,4]
[2,4,+,6,-,1]=>[3,6,1,2,4,5]
[2,4,-,6,-,1]=>[6,1,2,3,4,5]
[2,4,5,1,3,+]=>[4,5,6,1,2,3]
[2,4,5,1,3,-]=>[4,5,1,2,3,6]
[2,4,5,1,6,3]=>[4,6,1,2,3,5]
[2,4,5,3,1,+]=>[4,5,6,1,2,3]
[2,4,5,3,1,-]=>[4,5,1,2,3,6]
[2,4,5,3,6,1]=>[4,6,1,2,3,5]
[2,4,5,6,1,3]=>[5,6,1,2,3,4]
[2,4,5,6,3,1]=>[5,6,1,2,3,4]
[2,4,6,1,3,5]=>[4,5,6,1,2,3]
[2,4,6,1,+,3]=>[4,5,6,1,2,3]
[2,4,6,1,-,3]=>[4,6,1,2,3,5]
[2,4,6,3,1,5]=>[4,5,6,1,2,3]
[2,4,6,3,+,1]=>[4,5,6,1,2,3]
[2,4,6,3,-,1]=>[4,6,1,2,3,5]
[2,4,6,5,1,3]=>[5,6,1,2,3,4]
[2,4,6,5,3,1]=>[5,6,1,2,3,4]
[2,5,1,3,4,+]=>[3,4,5,6,1,2]
[2,5,1,3,4,-]=>[3,4,5,1,2,6]
[2,5,1,3,6,4]=>[3,4,6,1,2,5]
[2,5,1,+,3,+]=>[3,4,5,6,1,2]
[2,5,1,-,3,+]=>[3,5,6,1,2,4]
[2,5,1,+,3,-]=>[3,4,5,1,2,6]
[2,5,1,-,3,-]=>[3,5,1,2,4,6]
[2,5,1,+,6,3]=>[3,4,6,1,2,5]
[2,5,1,-,6,3]=>[3,6,1,2,4,5]
[2,5,1,6,3,4]=>[3,5,6,1,2,4]
[2,5,1,6,4,3]=>[3,5,6,1,2,4]
[2,5,+,1,4,+]=>[3,4,5,6,1,2]
[2,5,-,1,4,+]=>[4,5,6,1,2,3]
[2,5,+,1,4,-]=>[3,4,5,1,2,6]
[2,5,-,1,4,-]=>[4,5,1,2,3,6]
[2,5,+,1,6,4]=>[3,4,6,1,2,5]
[2,5,-,1,6,4]=>[4,6,1,2,3,5]
[2,5,+,+,1,+]=>[3,4,5,6,1,2]
[2,5,-,+,1,+]=>[4,5,6,1,2,3]
[2,5,+,-,1,+]=>[3,5,6,1,2,4]
[2,5,+,+,1,-]=>[3,4,5,1,2,6]
[2,5,-,-,1,+]=>[5,6,1,2,3,4]
[2,5,-,+,1,-]=>[4,5,1,2,3,6]
[2,5,+,-,1,-]=>[3,5,1,2,4,6]
[2,5,-,-,1,-]=>[5,1,2,3,4,6]
[2,5,+,+,6,1]=>[3,4,6,1,2,5]
[2,5,-,+,6,1]=>[4,6,1,2,3,5]
[2,5,+,-,6,1]=>[3,6,1,2,4,5]
[2,5,-,-,6,1]=>[6,1,2,3,4,5]
[2,5,+,6,1,4]=>[3,5,6,1,2,4]
[2,5,-,6,1,4]=>[5,6,1,2,3,4]
[2,5,+,6,4,1]=>[3,5,6,1,2,4]
[2,5,-,6,4,1]=>[5,6,1,2,3,4]
[2,5,4,1,3,+]=>[4,5,6,1,2,3]
[2,5,4,1,3,-]=>[4,5,1,2,3,6]
[2,5,4,1,6,3]=>[4,6,1,2,3,5]
[2,5,4,3,1,+]=>[4,5,6,1,2,3]
[2,5,4,3,1,-]=>[4,5,1,2,3,6]
[2,5,4,3,6,1]=>[4,6,1,2,3,5]
[2,5,4,6,1,3]=>[5,6,1,2,3,4]
[2,5,4,6,3,1]=>[5,6,1,2,3,4]
[2,5,6,1,3,4]=>[4,5,6,1,2,3]
[2,5,6,1,4,3]=>[4,5,6,1,2,3]
[2,5,6,3,1,4]=>[4,5,6,1,2,3]
[2,5,6,3,4,1]=>[4,5,6,1,2,3]
[2,5,6,+,1,3]=>[4,5,6,1,2,3]
[2,5,6,-,1,3]=>[5,6,1,2,3,4]
[2,5,6,+,3,1]=>[4,5,6,1,2,3]
[2,5,6,-,3,1]=>[5,6,1,2,3,4]
[2,6,1,3,4,5]=>[3,4,5,6,1,2]
[2,6,1,3,+,4]=>[3,4,5,6,1,2]
[2,6,1,3,-,4]=>[3,4,6,1,2,5]
[2,6,1,+,3,5]=>[3,4,5,6,1,2]
[2,6,1,-,3,5]=>[3,5,6,1,2,4]
[2,6,1,+,+,3]=>[3,4,5,6,1,2]
[2,6,1,-,+,3]=>[3,5,6,1,2,4]
[2,6,1,+,-,3]=>[3,4,6,1,2,5]
[2,6,1,-,-,3]=>[3,6,1,2,4,5]
[2,6,1,5,3,4]=>[3,5,6,1,2,4]
[2,6,1,5,4,3]=>[3,5,6,1,2,4]
[2,6,+,1,4,5]=>[3,4,5,6,1,2]
[2,6,-,1,4,5]=>[4,5,6,1,2,3]
[2,6,+,1,+,4]=>[3,4,5,6,1,2]
[2,6,-,1,+,4]=>[4,5,6,1,2,3]
[2,6,+,1,-,4]=>[3,4,6,1,2,5]
[2,6,-,1,-,4]=>[4,6,1,2,3,5]
[2,6,+,+,1,5]=>[3,4,5,6,1,2]
[2,6,-,+,1,5]=>[4,5,6,1,2,3]
[2,6,+,-,1,5]=>[3,5,6,1,2,4]
[2,6,-,-,1,5]=>[5,6,1,2,3,4]
[2,6,+,+,+,1]=>[3,4,5,6,1,2]
[2,6,-,+,+,1]=>[4,5,6,1,2,3]
[2,6,+,-,+,1]=>[3,5,6,1,2,4]
[2,6,+,+,-,1]=>[3,4,6,1,2,5]
[2,6,-,-,+,1]=>[5,6,1,2,3,4]
[2,6,-,+,-,1]=>[4,6,1,2,3,5]
[2,6,+,-,-,1]=>[3,6,1,2,4,5]
[2,6,-,-,-,1]=>[6,1,2,3,4,5]
[2,6,+,5,1,4]=>[3,5,6,1,2,4]
[2,6,-,5,1,4]=>[5,6,1,2,3,4]
[2,6,+,5,4,1]=>[3,5,6,1,2,4]
[2,6,-,5,4,1]=>[5,6,1,2,3,4]
[2,6,4,1,3,5]=>[4,5,6,1,2,3]
[2,6,4,1,+,3]=>[4,5,6,1,2,3]
[2,6,4,1,-,3]=>[4,6,1,2,3,5]
[2,6,4,3,1,5]=>[4,5,6,1,2,3]
[2,6,4,3,+,1]=>[4,5,6,1,2,3]
[2,6,4,3,-,1]=>[4,6,1,2,3,5]
[2,6,4,5,1,3]=>[5,6,1,2,3,4]
[2,6,4,5,3,1]=>[5,6,1,2,3,4]
[2,6,5,1,3,4]=>[4,5,6,1,2,3]
[2,6,5,1,4,3]=>[4,5,6,1,2,3]
[2,6,5,3,1,4]=>[4,5,6,1,2,3]
[2,6,5,3,4,1]=>[4,5,6,1,2,3]
[2,6,5,+,1,3]=>[4,5,6,1,2,3]
[2,6,5,-,1,3]=>[5,6,1,2,3,4]
[2,6,5,+,3,1]=>[4,5,6,1,2,3]
[2,6,5,-,3,1]=>[5,6,1,2,3,4]
[3,1,2,+,+,+]=>[2,3,4,5,6,1]
[3,1,2,-,+,+]=>[2,3,5,6,1,4]
[3,1,2,+,-,+]=>[2,3,4,6,1,5]
[3,1,2,+,+,-]=>[2,3,4,5,1,6]
[3,1,2,-,-,+]=>[2,3,6,1,4,5]
[3,1,2,-,+,-]=>[2,3,5,1,4,6]
[3,1,2,+,-,-]=>[2,3,4,1,5,6]
[3,1,2,-,-,-]=>[2,3,1,4,5,6]
[3,1,2,+,6,5]=>[2,3,4,6,1,5]
[3,1,2,-,6,5]=>[2,3,6,1,4,5]
[3,1,2,5,4,+]=>[2,3,5,6,1,4]
[3,1,2,5,4,-]=>[2,3,5,1,4,6]
[3,1,2,5,6,4]=>[2,3,6,1,4,5]
[3,1,2,6,4,5]=>[2,3,5,6,1,4]
[3,1,2,6,+,4]=>[2,3,5,6,1,4]
[3,1,2,6,-,4]=>[2,3,6,1,4,5]
[3,1,4,2,+,+]=>[2,4,5,6,1,3]
[3,1,4,2,-,+]=>[2,4,6,1,3,5]
[3,1,4,2,+,-]=>[2,4,5,1,3,6]
[3,1,4,2,-,-]=>[2,4,1,3,5,6]
[3,1,4,2,6,5]=>[2,4,6,1,3,5]
[3,1,4,5,2,+]=>[2,5,6,1,3,4]
[3,1,4,5,2,-]=>[2,5,1,3,4,6]
[3,1,4,5,6,2]=>[2,6,1,3,4,5]
[3,1,4,6,2,5]=>[2,5,6,1,3,4]
[3,1,4,6,+,2]=>[2,5,6,1,3,4]
[3,1,4,6,-,2]=>[2,6,1,3,4,5]
[3,1,5,2,4,+]=>[2,4,5,6,1,3]
[3,1,5,2,4,-]=>[2,4,5,1,3,6]
[3,1,5,2,6,4]=>[2,4,6,1,3,5]
[3,1,5,+,2,+]=>[2,4,5,6,1,3]
[3,1,5,-,2,+]=>[2,5,6,1,3,4]
[3,1,5,+,2,-]=>[2,4,5,1,3,6]
[3,1,5,-,2,-]=>[2,5,1,3,4,6]
[3,1,5,+,6,2]=>[2,4,6,1,3,5]
[3,1,5,-,6,2]=>[2,6,1,3,4,5]
[3,1,5,6,2,4]=>[2,5,6,1,3,4]
[3,1,5,6,4,2]=>[2,5,6,1,3,4]
[3,1,6,2,4,5]=>[2,4,5,6,1,3]
[3,1,6,2,+,4]=>[2,4,5,6,1,3]
[3,1,6,2,-,4]=>[2,4,6,1,3,5]
[3,1,6,+,2,5]=>[2,4,5,6,1,3]
[3,1,6,-,2,5]=>[2,5,6,1,3,4]
[3,1,6,+,+,2]=>[2,4,5,6,1,3]
[3,1,6,-,+,2]=>[2,5,6,1,3,4]
[3,1,6,+,-,2]=>[2,4,6,1,3,5]
[3,1,6,-,-,2]=>[2,6,1,3,4,5]
[3,1,6,5,2,4]=>[2,5,6,1,3,4]
[3,1,6,5,4,2]=>[2,5,6,1,3,4]
[3,+,1,+,+,+]=>[2,3,4,5,6,1]
[3,-,1,+,+,+]=>[3,4,5,6,1,2]
[3,+,1,-,+,+]=>[2,3,5,6,1,4]
[3,+,1,+,-,+]=>[2,3,4,6,1,5]
[3,+,1,+,+,-]=>[2,3,4,5,1,6]
[3,-,1,-,+,+]=>[3,5,6,1,2,4]
[3,-,1,+,-,+]=>[3,4,6,1,2,5]
[3,-,1,+,+,-]=>[3,4,5,1,2,6]
[3,+,1,-,-,+]=>[2,3,6,1,4,5]
[3,+,1,-,+,-]=>[2,3,5,1,4,6]
[3,+,1,+,-,-]=>[2,3,4,1,5,6]
[3,-,1,-,-,+]=>[3,6,1,2,4,5]
[3,-,1,-,+,-]=>[3,5,1,2,4,6]
[3,-,1,+,-,-]=>[3,4,1,2,5,6]
[3,+,1,-,-,-]=>[2,3,1,4,5,6]
[3,-,1,-,-,-]=>[3,1,2,4,5,6]
[3,+,1,+,6,5]=>[2,3,4,6,1,5]
[3,-,1,+,6,5]=>[3,4,6,1,2,5]
[3,+,1,-,6,5]=>[2,3,6,1,4,5]
[3,-,1,-,6,5]=>[3,6,1,2,4,5]
[3,+,1,5,4,+]=>[2,3,5,6,1,4]
[3,-,1,5,4,+]=>[3,5,6,1,2,4]
[3,+,1,5,4,-]=>[2,3,5,1,4,6]
[3,-,1,5,4,-]=>[3,5,1,2,4,6]
[3,+,1,5,6,4]=>[2,3,6,1,4,5]
[3,-,1,5,6,4]=>[3,6,1,2,4,5]
[3,+,1,6,4,5]=>[2,3,5,6,1,4]
[3,-,1,6,4,5]=>[3,5,6,1,2,4]
[3,+,1,6,+,4]=>[2,3,5,6,1,4]
[3,-,1,6,+,4]=>[3,5,6,1,2,4]
[3,+,1,6,-,4]=>[2,3,6,1,4,5]
[3,-,1,6,-,4]=>[3,6,1,2,4,5]
[3,+,4,1,+,+]=>[2,4,5,6,1,3]
[3,-,4,1,+,+]=>[4,5,6,1,2,3]
[3,+,4,1,-,+]=>[2,4,6,1,3,5]
[3,+,4,1,+,-]=>[2,4,5,1,3,6]
[3,-,4,1,-,+]=>[4,6,1,2,3,5]
[3,-,4,1,+,-]=>[4,5,1,2,3,6]
[3,+,4,1,-,-]=>[2,4,1,3,5,6]
[3,-,4,1,-,-]=>[4,1,2,3,5,6]
[3,+,4,1,6,5]=>[2,4,6,1,3,5]
[3,-,4,1,6,5]=>[4,6,1,2,3,5]
[3,+,4,5,1,+]=>[2,5,6,1,3,4]
[3,-,4,5,1,+]=>[5,6,1,2,3,4]
[3,+,4,5,1,-]=>[2,5,1,3,4,6]
[3,-,4,5,1,-]=>[5,1,2,3,4,6]
[3,+,4,5,6,1]=>[2,6,1,3,4,5]
[3,-,4,5,6,1]=>[6,1,2,3,4,5]
[3,+,4,6,1,5]=>[2,5,6,1,3,4]
[3,-,4,6,1,5]=>[5,6,1,2,3,4]
[3,+,4,6,+,1]=>[2,5,6,1,3,4]
[3,-,4,6,+,1]=>[5,6,1,2,3,4]
[3,+,4,6,-,1]=>[2,6,1,3,4,5]
[3,-,4,6,-,1]=>[6,1,2,3,4,5]
[3,+,5,1,4,+]=>[2,4,5,6,1,3]
[3,-,5,1,4,+]=>[4,5,6,1,2,3]
[3,+,5,1,4,-]=>[2,4,5,1,3,6]
[3,-,5,1,4,-]=>[4,5,1,2,3,6]
[3,+,5,1,6,4]=>[2,4,6,1,3,5]
[3,-,5,1,6,4]=>[4,6,1,2,3,5]
[3,+,5,+,1,+]=>[2,4,5,6,1,3]
[3,-,5,+,1,+]=>[4,5,6,1,2,3]
[3,+,5,-,1,+]=>[2,5,6,1,3,4]
[3,+,5,+,1,-]=>[2,4,5,1,3,6]
[3,-,5,-,1,+]=>[5,6,1,2,3,4]
[3,-,5,+,1,-]=>[4,5,1,2,3,6]
[3,+,5,-,1,-]=>[2,5,1,3,4,6]
[3,-,5,-,1,-]=>[5,1,2,3,4,6]
[3,+,5,+,6,1]=>[2,4,6,1,3,5]
[3,-,5,+,6,1]=>[4,6,1,2,3,5]
[3,+,5,-,6,1]=>[2,6,1,3,4,5]
[3,-,5,-,6,1]=>[6,1,2,3,4,5]
[3,+,5,6,1,4]=>[2,5,6,1,3,4]
[3,-,5,6,1,4]=>[5,6,1,2,3,4]
[3,+,5,6,4,1]=>[2,5,6,1,3,4]
[3,-,5,6,4,1]=>[5,6,1,2,3,4]
[3,+,6,1,4,5]=>[2,4,5,6,1,3]
[3,-,6,1,4,5]=>[4,5,6,1,2,3]
[3,+,6,1,+,4]=>[2,4,5,6,1,3]
[3,-,6,1,+,4]=>[4,5,6,1,2,3]
[3,+,6,1,-,4]=>[2,4,6,1,3,5]
[3,-,6,1,-,4]=>[4,6,1,2,3,5]
[3,+,6,+,1,5]=>[2,4,5,6,1,3]
[3,-,6,+,1,5]=>[4,5,6,1,2,3]
[3,+,6,-,1,5]=>[2,5,6,1,3,4]
[3,-,6,-,1,5]=>[5,6,1,2,3,4]
[3,+,6,+,+,1]=>[2,4,5,6,1,3]
[3,-,6,+,+,1]=>[4,5,6,1,2,3]
[3,+,6,-,+,1]=>[2,5,6,1,3,4]
[3,+,6,+,-,1]=>[2,4,6,1,3,5]
[3,-,6,-,+,1]=>[5,6,1,2,3,4]
[3,-,6,+,-,1]=>[4,6,1,2,3,5]
[3,+,6,-,-,1]=>[2,6,1,3,4,5]
[3,-,6,-,-,1]=>[6,1,2,3,4,5]
[3,+,6,5,1,4]=>[2,5,6,1,3,4]
[3,-,6,5,1,4]=>[5,6,1,2,3,4]
[3,+,6,5,4,1]=>[2,5,6,1,3,4]
[3,-,6,5,4,1]=>[5,6,1,2,3,4]
[3,4,1,2,+,+]=>[3,4,5,6,1,2]
[3,4,1,2,-,+]=>[3,4,6,1,2,5]
[3,4,1,2,+,-]=>[3,4,5,1,2,6]
[3,4,1,2,-,-]=>[3,4,1,2,5,6]
[3,4,1,2,6,5]=>[3,4,6,1,2,5]
[3,4,1,5,2,+]=>[3,5,6,1,2,4]
[3,4,1,5,2,-]=>[3,5,1,2,4,6]
[3,4,1,5,6,2]=>[3,6,1,2,4,5]
[3,4,1,6,2,5]=>[3,5,6,1,2,4]
[3,4,1,6,+,2]=>[3,5,6,1,2,4]
[3,4,1,6,-,2]=>[3,6,1,2,4,5]
[3,4,2,1,+,+]=>[3,4,5,6,1,2]
[3,4,2,1,-,+]=>[3,4,6,1,2,5]
[3,4,2,1,+,-]=>[3,4,5,1,2,6]
[3,4,2,1,-,-]=>[3,4,1,2,5,6]
[3,4,2,1,6,5]=>[3,4,6,1,2,5]
[3,4,2,5,1,+]=>[3,5,6,1,2,4]
[3,4,2,5,1,-]=>[3,5,1,2,4,6]
[3,4,2,5,6,1]=>[3,6,1,2,4,5]
[3,4,2,6,1,5]=>[3,5,6,1,2,4]
[3,4,2,6,+,1]=>[3,5,6,1,2,4]
[3,4,2,6,-,1]=>[3,6,1,2,4,5]
[3,4,5,1,2,+]=>[4,5,6,1,2,3]
[3,4,5,1,2,-]=>[4,5,1,2,3,6]
[3,4,5,1,6,2]=>[4,6,1,2,3,5]
[3,4,5,2,1,+]=>[4,5,6,1,2,3]
[3,4,5,2,1,-]=>[4,5,1,2,3,6]
[3,4,5,2,6,1]=>[4,6,1,2,3,5]
[3,4,5,6,1,2]=>[5,6,1,2,3,4]
[3,4,5,6,2,1]=>[5,6,1,2,3,4]
[3,4,6,1,2,5]=>[4,5,6,1,2,3]
[3,4,6,1,+,2]=>[4,5,6,1,2,3]
[3,4,6,1,-,2]=>[4,6,1,2,3,5]
[3,4,6,2,1,5]=>[4,5,6,1,2,3]
[3,4,6,2,+,1]=>[4,5,6,1,2,3]
[3,4,6,2,-,1]=>[4,6,1,2,3,5]
[3,4,6,5,1,2]=>[5,6,1,2,3,4]
[3,4,6,5,2,1]=>[5,6,1,2,3,4]
[3,5,1,2,4,+]=>[3,4,5,6,1,2]
[3,5,1,2,4,-]=>[3,4,5,1,2,6]
[3,5,1,2,6,4]=>[3,4,6,1,2,5]
[3,5,1,+,2,+]=>[3,4,5,6,1,2]
[3,5,1,-,2,+]=>[3,5,6,1,2,4]
[3,5,1,+,2,-]=>[3,4,5,1,2,6]
[3,5,1,-,2,-]=>[3,5,1,2,4,6]
[3,5,1,+,6,2]=>[3,4,6,1,2,5]
[3,5,1,-,6,2]=>[3,6,1,2,4,5]
[3,5,1,6,2,4]=>[3,5,6,1,2,4]
[3,5,1,6,4,2]=>[3,5,6,1,2,4]
[3,5,2,1,4,+]=>[3,4,5,6,1,2]
[3,5,2,1,4,-]=>[3,4,5,1,2,6]
[3,5,2,1,6,4]=>[3,4,6,1,2,5]
[3,5,2,+,1,+]=>[3,4,5,6,1,2]
[3,5,2,-,1,+]=>[3,5,6,1,2,4]
[3,5,2,+,1,-]=>[3,4,5,1,2,6]
[3,5,2,-,1,-]=>[3,5,1,2,4,6]
[3,5,2,+,6,1]=>[3,4,6,1,2,5]
[3,5,2,-,6,1]=>[3,6,1,2,4,5]
[3,5,2,6,1,4]=>[3,5,6,1,2,4]
[3,5,2,6,4,1]=>[3,5,6,1,2,4]
[3,5,4,1,2,+]=>[4,5,6,1,2,3]
[3,5,4,1,2,-]=>[4,5,1,2,3,6]
[3,5,4,1,6,2]=>[4,6,1,2,3,5]
[3,5,4,2,1,+]=>[4,5,6,1,2,3]
[3,5,4,2,1,-]=>[4,5,1,2,3,6]
[3,5,4,2,6,1]=>[4,6,1,2,3,5]
[3,5,4,6,1,2]=>[5,6,1,2,3,4]
[3,5,4,6,2,1]=>[5,6,1,2,3,4]
[3,5,6,1,2,4]=>[4,5,6,1,2,3]
[3,5,6,1,4,2]=>[4,5,6,1,2,3]
[3,5,6,2,1,4]=>[4,5,6,1,2,3]
[3,5,6,2,4,1]=>[4,5,6,1,2,3]
[3,5,6,+,1,2]=>[4,5,6,1,2,3]
[3,5,6,-,1,2]=>[5,6,1,2,3,4]
[3,5,6,+,2,1]=>[4,5,6,1,2,3]
[3,5,6,-,2,1]=>[5,6,1,2,3,4]
[3,6,1,2,4,5]=>[3,4,5,6,1,2]
[3,6,1,2,+,4]=>[3,4,5,6,1,2]
[3,6,1,2,-,4]=>[3,4,6,1,2,5]
[3,6,1,+,2,5]=>[3,4,5,6,1,2]
[3,6,1,-,2,5]=>[3,5,6,1,2,4]
[3,6,1,+,+,2]=>[3,4,5,6,1,2]
[3,6,1,-,+,2]=>[3,5,6,1,2,4]
[3,6,1,+,-,2]=>[3,4,6,1,2,5]
[3,6,1,-,-,2]=>[3,6,1,2,4,5]
[3,6,1,5,2,4]=>[3,5,6,1,2,4]
[3,6,1,5,4,2]=>[3,5,6,1,2,4]
[3,6,2,1,4,5]=>[3,4,5,6,1,2]
[3,6,2,1,+,4]=>[3,4,5,6,1,2]
[3,6,2,1,-,4]=>[3,4,6,1,2,5]
[3,6,2,+,1,5]=>[3,4,5,6,1,2]
[3,6,2,-,1,5]=>[3,5,6,1,2,4]
[3,6,2,+,+,1]=>[3,4,5,6,1,2]
[3,6,2,-,+,1]=>[3,5,6,1,2,4]
[3,6,2,+,-,1]=>[3,4,6,1,2,5]
[3,6,2,-,-,1]=>[3,6,1,2,4,5]
[3,6,2,5,1,4]=>[3,5,6,1,2,4]
[3,6,2,5,4,1]=>[3,5,6,1,2,4]
[3,6,4,1,2,5]=>[4,5,6,1,2,3]
[3,6,4,1,+,2]=>[4,5,6,1,2,3]
[3,6,4,1,-,2]=>[4,6,1,2,3,5]
[3,6,4,2,1,5]=>[4,5,6,1,2,3]
[3,6,4,2,+,1]=>[4,5,6,1,2,3]
[3,6,4,2,-,1]=>[4,6,1,2,3,5]
[3,6,4,5,1,2]=>[5,6,1,2,3,4]
[3,6,4,5,2,1]=>[5,6,1,2,3,4]
[3,6,5,1,2,4]=>[4,5,6,1,2,3]
[3,6,5,1,4,2]=>[4,5,6,1,2,3]
[3,6,5,2,1,4]=>[4,5,6,1,2,3]
[3,6,5,2,4,1]=>[4,5,6,1,2,3]
[3,6,5,+,1,2]=>[4,5,6,1,2,3]
[3,6,5,-,1,2]=>[5,6,1,2,3,4]
[3,6,5,+,2,1]=>[4,5,6,1,2,3]
[3,6,5,-,2,1]=>[5,6,1,2,3,4]
[4,1,2,3,+,+]=>[2,3,4,5,6,1]
[4,1,2,3,-,+]=>[2,3,4,6,1,5]
[4,1,2,3,+,-]=>[2,3,4,5,1,6]
[4,1,2,3,-,-]=>[2,3,4,1,5,6]
[4,1,2,3,6,5]=>[2,3,4,6,1,5]
[4,1,2,5,3,+]=>[2,3,5,6,1,4]
[4,1,2,5,3,-]=>[2,3,5,1,4,6]
[4,1,2,5,6,3]=>[2,3,6,1,4,5]
[4,1,2,6,3,5]=>[2,3,5,6,1,4]
[4,1,2,6,+,3]=>[2,3,5,6,1,4]
[4,1,2,6,-,3]=>[2,3,6,1,4,5]
[4,1,+,2,+,+]=>[2,3,4,5,6,1]
[4,1,-,2,+,+]=>[2,4,5,6,1,3]
[4,1,+,2,-,+]=>[2,3,4,6,1,5]
[4,1,+,2,+,-]=>[2,3,4,5,1,6]
[4,1,-,2,-,+]=>[2,4,6,1,3,5]
[4,1,-,2,+,-]=>[2,4,5,1,3,6]
[4,1,+,2,-,-]=>[2,3,4,1,5,6]
[4,1,-,2,-,-]=>[2,4,1,3,5,6]
[4,1,+,2,6,5]=>[2,3,4,6,1,5]
[4,1,-,2,6,5]=>[2,4,6,1,3,5]
[4,1,+,5,2,+]=>[2,3,5,6,1,4]
[4,1,-,5,2,+]=>[2,5,6,1,3,4]
[4,1,+,5,2,-]=>[2,3,5,1,4,6]
[4,1,-,5,2,-]=>[2,5,1,3,4,6]
[4,1,+,5,6,2]=>[2,3,6,1,4,5]
[4,1,-,5,6,2]=>[2,6,1,3,4,5]
[4,1,+,6,2,5]=>[2,3,5,6,1,4]
[4,1,-,6,2,5]=>[2,5,6,1,3,4]
[4,1,+,6,+,2]=>[2,3,5,6,1,4]
[4,1,-,6,+,2]=>[2,5,6,1,3,4]
[4,1,+,6,-,2]=>[2,3,6,1,4,5]
[4,1,-,6,-,2]=>[2,6,1,3,4,5]
[4,1,5,2,3,+]=>[2,4,5,6,1,3]
[4,1,5,2,3,-]=>[2,4,5,1,3,6]
[4,1,5,2,6,3]=>[2,4,6,1,3,5]
[4,1,5,3,2,+]=>[2,4,5,6,1,3]
[4,1,5,3,2,-]=>[2,4,5,1,3,6]
[4,1,5,3,6,2]=>[2,4,6,1,3,5]
[4,1,5,6,2,3]=>[2,5,6,1,3,4]
[4,1,5,6,3,2]=>[2,5,6,1,3,4]
[4,1,6,2,3,5]=>[2,4,5,6,1,3]
[4,1,6,2,+,3]=>[2,4,5,6,1,3]
[4,1,6,2,-,3]=>[2,4,6,1,3,5]
[4,1,6,3,2,5]=>[2,4,5,6,1,3]
[4,1,6,3,+,2]=>[2,4,5,6,1,3]
[4,1,6,3,-,2]=>[2,4,6,1,3,5]
[4,1,6,5,2,3]=>[2,5,6,1,3,4]
[4,1,6,5,3,2]=>[2,5,6,1,3,4]
[4,+,1,3,+,+]=>[2,3,4,5,6,1]
[4,-,1,3,+,+]=>[3,4,5,6,1,2]
[4,+,1,3,-,+]=>[2,3,4,6,1,5]
[4,+,1,3,+,-]=>[2,3,4,5,1,6]
[4,-,1,3,-,+]=>[3,4,6,1,2,5]
[4,-,1,3,+,-]=>[3,4,5,1,2,6]
[4,+,1,3,-,-]=>[2,3,4,1,5,6]
[4,-,1,3,-,-]=>[3,4,1,2,5,6]
[4,+,1,3,6,5]=>[2,3,4,6,1,5]
[4,-,1,3,6,5]=>[3,4,6,1,2,5]
[4,+,1,5,3,+]=>[2,3,5,6,1,4]
[4,-,1,5,3,+]=>[3,5,6,1,2,4]
[4,+,1,5,3,-]=>[2,3,5,1,4,6]
[4,-,1,5,3,-]=>[3,5,1,2,4,6]
[4,+,1,5,6,3]=>[2,3,6,1,4,5]
[4,-,1,5,6,3]=>[3,6,1,2,4,5]
[4,+,1,6,3,5]=>[2,3,5,6,1,4]
[4,-,1,6,3,5]=>[3,5,6,1,2,4]
[4,+,1,6,+,3]=>[2,3,5,6,1,4]
[4,-,1,6,+,3]=>[3,5,6,1,2,4]
[4,+,1,6,-,3]=>[2,3,6,1,4,5]
[4,-,1,6,-,3]=>[3,6,1,2,4,5]
[4,+,+,1,+,+]=>[2,3,4,5,6,1]
[4,-,+,1,+,+]=>[3,4,5,6,1,2]
[4,+,-,1,+,+]=>[2,4,5,6,1,3]
[4,+,+,1,-,+]=>[2,3,4,6,1,5]
[4,+,+,1,+,-]=>[2,3,4,5,1,6]
[4,-,-,1,+,+]=>[4,5,6,1,2,3]
[4,-,+,1,-,+]=>[3,4,6,1,2,5]
[4,-,+,1,+,-]=>[3,4,5,1,2,6]
[4,+,-,1,-,+]=>[2,4,6,1,3,5]
[4,+,-,1,+,-]=>[2,4,5,1,3,6]
[4,+,+,1,-,-]=>[2,3,4,1,5,6]
[4,-,-,1,-,+]=>[4,6,1,2,3,5]
[4,-,-,1,+,-]=>[4,5,1,2,3,6]
[4,-,+,1,-,-]=>[3,4,1,2,5,6]
[4,+,-,1,-,-]=>[2,4,1,3,5,6]
[4,-,-,1,-,-]=>[4,1,2,3,5,6]
[4,+,+,1,6,5]=>[2,3,4,6,1,5]
[4,-,+,1,6,5]=>[3,4,6,1,2,5]
[4,+,-,1,6,5]=>[2,4,6,1,3,5]
[4,-,-,1,6,5]=>[4,6,1,2,3,5]
[4,+,+,5,1,+]=>[2,3,5,6,1,4]
[4,-,+,5,1,+]=>[3,5,6,1,2,4]
[4,+,-,5,1,+]=>[2,5,6,1,3,4]
[4,+,+,5,1,-]=>[2,3,5,1,4,6]
[4,-,-,5,1,+]=>[5,6,1,2,3,4]
[4,-,+,5,1,-]=>[3,5,1,2,4,6]
[4,+,-,5,1,-]=>[2,5,1,3,4,6]
[4,-,-,5,1,-]=>[5,1,2,3,4,6]
[4,+,+,5,6,1]=>[2,3,6,1,4,5]
[4,-,+,5,6,1]=>[3,6,1,2,4,5]
[4,+,-,5,6,1]=>[2,6,1,3,4,5]
[4,-,-,5,6,1]=>[6,1,2,3,4,5]
[4,+,+,6,1,5]=>[2,3,5,6,1,4]
[4,-,+,6,1,5]=>[3,5,6,1,2,4]
[4,+,-,6,1,5]=>[2,5,6,1,3,4]
[4,-,-,6,1,5]=>[5,6,1,2,3,4]
[4,+,+,6,+,1]=>[2,3,5,6,1,4]
[4,-,+,6,+,1]=>[3,5,6,1,2,4]
[4,+,-,6,+,1]=>[2,5,6,1,3,4]
[4,+,+,6,-,1]=>[2,3,6,1,4,5]
[4,-,-,6,+,1]=>[5,6,1,2,3,4]
[4,-,+,6,-,1]=>[3,6,1,2,4,5]
[4,+,-,6,-,1]=>[2,6,1,3,4,5]
[4,-,-,6,-,1]=>[6,1,2,3,4,5]
[4,+,5,1,3,+]=>[2,4,5,6,1,3]
[4,-,5,1,3,+]=>[4,5,6,1,2,3]
[4,+,5,1,3,-]=>[2,4,5,1,3,6]
[4,-,5,1,3,-]=>[4,5,1,2,3,6]
[4,+,5,1,6,3]=>[2,4,6,1,3,5]
[4,-,5,1,6,3]=>[4,6,1,2,3,5]
[4,+,5,3,1,+]=>[2,4,5,6,1,3]
[4,-,5,3,1,+]=>[4,5,6,1,2,3]
[4,+,5,3,1,-]=>[2,4,5,1,3,6]
[4,-,5,3,1,-]=>[4,5,1,2,3,6]
[4,+,5,3,6,1]=>[2,4,6,1,3,5]
[4,-,5,3,6,1]=>[4,6,1,2,3,5]
[4,+,5,6,1,3]=>[2,5,6,1,3,4]
[4,-,5,6,1,3]=>[5,6,1,2,3,4]
[4,+,5,6,3,1]=>[2,5,6,1,3,4]
[4,-,5,6,3,1]=>[5,6,1,2,3,4]
[4,+,6,1,3,5]=>[2,4,5,6,1,3]
[4,-,6,1,3,5]=>[4,5,6,1,2,3]
[4,+,6,1,+,3]=>[2,4,5,6,1,3]
[4,-,6,1,+,3]=>[4,5,6,1,2,3]
[4,+,6,1,-,3]=>[2,4,6,1,3,5]
[4,-,6,1,-,3]=>[4,6,1,2,3,5]
[4,+,6,3,1,5]=>[2,4,5,6,1,3]
[4,-,6,3,1,5]=>[4,5,6,1,2,3]
[4,+,6,3,+,1]=>[2,4,5,6,1,3]
[4,-,6,3,+,1]=>[4,5,6,1,2,3]
[4,+,6,3,-,1]=>[2,4,6,1,3,5]
[4,-,6,3,-,1]=>[4,6,1,2,3,5]
[4,+,6,5,1,3]=>[2,5,6,1,3,4]
[4,-,6,5,1,3]=>[5,6,1,2,3,4]
[4,+,6,5,3,1]=>[2,5,6,1,3,4]
[4,-,6,5,3,1]=>[5,6,1,2,3,4]
[4,3,1,2,+,+]=>[3,4,5,6,1,2]
[4,3,1,2,-,+]=>[3,4,6,1,2,5]
[4,3,1,2,+,-]=>[3,4,5,1,2,6]
[4,3,1,2,-,-]=>[3,4,1,2,5,6]
[4,3,1,2,6,5]=>[3,4,6,1,2,5]
[4,3,1,5,2,+]=>[3,5,6,1,2,4]
[4,3,1,5,2,-]=>[3,5,1,2,4,6]
[4,3,1,5,6,2]=>[3,6,1,2,4,5]
[4,3,1,6,2,5]=>[3,5,6,1,2,4]
[4,3,1,6,+,2]=>[3,5,6,1,2,4]
[4,3,1,6,-,2]=>[3,6,1,2,4,5]
[4,3,2,1,+,+]=>[3,4,5,6,1,2]
[4,3,2,1,-,+]=>[3,4,6,1,2,5]
[4,3,2,1,+,-]=>[3,4,5,1,2,6]
[4,3,2,1,-,-]=>[3,4,1,2,5,6]
[4,3,2,1,6,5]=>[3,4,6,1,2,5]
[4,3,2,5,1,+]=>[3,5,6,1,2,4]
[4,3,2,5,1,-]=>[3,5,1,2,4,6]
[4,3,2,5,6,1]=>[3,6,1,2,4,5]
[4,3,2,6,1,5]=>[3,5,6,1,2,4]
[4,3,2,6,+,1]=>[3,5,6,1,2,4]
[4,3,2,6,-,1]=>[3,6,1,2,4,5]
[4,3,5,1,2,+]=>[4,5,6,1,2,3]
[4,3,5,1,2,-]=>[4,5,1,2,3,6]
[4,3,5,1,6,2]=>[4,6,1,2,3,5]
[4,3,5,2,1,+]=>[4,5,6,1,2,3]
[4,3,5,2,1,-]=>[4,5,1,2,3,6]
[4,3,5,2,6,1]=>[4,6,1,2,3,5]
[4,3,5,6,1,2]=>[5,6,1,2,3,4]
[4,3,5,6,2,1]=>[5,6,1,2,3,4]
[4,3,6,1,2,5]=>[4,5,6,1,2,3]
[4,3,6,1,+,2]=>[4,5,6,1,2,3]
[4,3,6,1,-,2]=>[4,6,1,2,3,5]
[4,3,6,2,1,5]=>[4,5,6,1,2,3]
[4,3,6,2,+,1]=>[4,5,6,1,2,3]
[4,3,6,2,-,1]=>[4,6,1,2,3,5]
[4,3,6,5,1,2]=>[5,6,1,2,3,4]
[4,3,6,5,2,1]=>[5,6,1,2,3,4]
[4,5,1,2,3,+]=>[3,4,5,6,1,2]
[4,5,1,2,3,-]=>[3,4,5,1,2,6]
[4,5,1,2,6,3]=>[3,4,6,1,2,5]
[4,5,1,3,2,+]=>[3,4,5,6,1,2]
[4,5,1,3,2,-]=>[3,4,5,1,2,6]
[4,5,1,3,6,2]=>[3,4,6,1,2,5]
[4,5,1,6,2,3]=>[3,5,6,1,2,4]
[4,5,1,6,3,2]=>[3,5,6,1,2,4]
[4,5,2,1,3,+]=>[3,4,5,6,1,2]
[4,5,2,1,3,-]=>[3,4,5,1,2,6]
[4,5,2,1,6,3]=>[3,4,6,1,2,5]
[4,5,2,3,1,+]=>[3,4,5,6,1,2]
[4,5,2,3,1,-]=>[3,4,5,1,2,6]
[4,5,2,3,6,1]=>[3,4,6,1,2,5]
[4,5,2,6,1,3]=>[3,5,6,1,2,4]
[4,5,2,6,3,1]=>[3,5,6,1,2,4]
[4,5,+,1,2,+]=>[3,4,5,6,1,2]
[4,5,-,1,2,+]=>[4,5,6,1,2,3]
[4,5,+,1,2,-]=>[3,4,5,1,2,6]
[4,5,-,1,2,-]=>[4,5,1,2,3,6]
[4,5,+,1,6,2]=>[3,4,6,1,2,5]
[4,5,-,1,6,2]=>[4,6,1,2,3,5]
[4,5,+,2,1,+]=>[3,4,5,6,1,2]
[4,5,-,2,1,+]=>[4,5,6,1,2,3]
[4,5,+,2,1,-]=>[3,4,5,1,2,6]
[4,5,-,2,1,-]=>[4,5,1,2,3,6]
[4,5,+,2,6,1]=>[3,4,6,1,2,5]
[4,5,-,2,6,1]=>[4,6,1,2,3,5]
[4,5,+,6,1,2]=>[3,5,6,1,2,4]
[4,5,-,6,1,2]=>[5,6,1,2,3,4]
[4,5,+,6,2,1]=>[3,5,6,1,2,4]
[4,5,-,6,2,1]=>[5,6,1,2,3,4]
[4,5,6,1,2,3]=>[4,5,6,1,2,3]
[4,5,6,1,3,2]=>[4,5,6,1,2,3]
[4,5,6,2,1,3]=>[4,5,6,1,2,3]
[4,5,6,2,3,1]=>[4,5,6,1,2,3]
[4,5,6,3,1,2]=>[4,5,6,1,2,3]
[4,5,6,3,2,1]=>[4,5,6,1,2,3]
[4,6,1,2,3,5]=>[3,4,5,6,1,2]
[4,6,1,2,+,3]=>[3,4,5,6,1,2]
[4,6,1,2,-,3]=>[3,4,6,1,2,5]
[4,6,1,3,2,5]=>[3,4,5,6,1,2]
[4,6,1,3,+,2]=>[3,4,5,6,1,2]
[4,6,1,3,-,2]=>[3,4,6,1,2,5]
[4,6,1,5,2,3]=>[3,5,6,1,2,4]
[4,6,1,5,3,2]=>[3,5,6,1,2,4]
[4,6,2,1,3,5]=>[3,4,5,6,1,2]
[4,6,2,1,+,3]=>[3,4,5,6,1,2]
[4,6,2,1,-,3]=>[3,4,6,1,2,5]
[4,6,2,3,1,5]=>[3,4,5,6,1,2]
[4,6,2,3,+,1]=>[3,4,5,6,1,2]
[4,6,2,3,-,1]=>[3,4,6,1,2,5]
[4,6,2,5,1,3]=>[3,5,6,1,2,4]
[4,6,2,5,3,1]=>[3,5,6,1,2,4]
[4,6,+,1,2,5]=>[3,4,5,6,1,2]
[4,6,-,1,2,5]=>[4,5,6,1,2,3]
[4,6,+,1,+,2]=>[3,4,5,6,1,2]
[4,6,-,1,+,2]=>[4,5,6,1,2,3]
[4,6,+,1,-,2]=>[3,4,6,1,2,5]
[4,6,-,1,-,2]=>[4,6,1,2,3,5]
[4,6,+,2,1,5]=>[3,4,5,6,1,2]
[4,6,-,2,1,5]=>[4,5,6,1,2,3]
[4,6,+,2,+,1]=>[3,4,5,6,1,2]
[4,6,-,2,+,1]=>[4,5,6,1,2,3]
[4,6,+,2,-,1]=>[3,4,6,1,2,5]
[4,6,-,2,-,1]=>[4,6,1,2,3,5]
[4,6,+,5,1,2]=>[3,5,6,1,2,4]
[4,6,-,5,1,2]=>[5,6,1,2,3,4]
[4,6,+,5,2,1]=>[3,5,6,1,2,4]
[4,6,-,5,2,1]=>[5,6,1,2,3,4]
[4,6,5,1,2,3]=>[4,5,6,1,2,3]
[4,6,5,1,3,2]=>[4,5,6,1,2,3]
[4,6,5,2,1,3]=>[4,5,6,1,2,3]
[4,6,5,2,3,1]=>[4,5,6,1,2,3]
[4,6,5,3,1,2]=>[4,5,6,1,2,3]
[4,6,5,3,2,1]=>[4,5,6,1,2,3]
[5,1,2,3,4,+]=>[2,3,4,5,6,1]
[5,1,2,3,4,-]=>[2,3,4,5,1,6]
[5,1,2,3,6,4]=>[2,3,4,6,1,5]
[5,1,2,+,3,+]=>[2,3,4,5,6,1]
[5,1,2,-,3,+]=>[2,3,5,6,1,4]
[5,1,2,+,3,-]=>[2,3,4,5,1,6]
[5,1,2,-,3,-]=>[2,3,5,1,4,6]
[5,1,2,+,6,3]=>[2,3,4,6,1,5]
[5,1,2,-,6,3]=>[2,3,6,1,4,5]
[5,1,2,6,3,4]=>[2,3,5,6,1,4]
[5,1,2,6,4,3]=>[2,3,5,6,1,4]
[5,1,+,2,4,+]=>[2,3,4,5,6,1]
[5,1,-,2,4,+]=>[2,4,5,6,1,3]
[5,1,+,2,4,-]=>[2,3,4,5,1,6]
[5,1,-,2,4,-]=>[2,4,5,1,3,6]
[5,1,+,2,6,4]=>[2,3,4,6,1,5]
[5,1,-,2,6,4]=>[2,4,6,1,3,5]
[5,1,+,+,2,+]=>[2,3,4,5,6,1]
[5,1,-,+,2,+]=>[2,4,5,6,1,3]
[5,1,+,-,2,+]=>[2,3,5,6,1,4]
[5,1,+,+,2,-]=>[2,3,4,5,1,6]
[5,1,-,-,2,+]=>[2,5,6,1,3,4]
[5,1,-,+,2,-]=>[2,4,5,1,3,6]
[5,1,+,-,2,-]=>[2,3,5,1,4,6]
[5,1,-,-,2,-]=>[2,5,1,3,4,6]
[5,1,+,+,6,2]=>[2,3,4,6,1,5]
[5,1,-,+,6,2]=>[2,4,6,1,3,5]
[5,1,+,-,6,2]=>[2,3,6,1,4,5]
[5,1,-,-,6,2]=>[2,6,1,3,4,5]
[5,1,+,6,2,4]=>[2,3,5,6,1,4]
[5,1,-,6,2,4]=>[2,5,6,1,3,4]
[5,1,+,6,4,2]=>[2,3,5,6,1,4]
[5,1,-,6,4,2]=>[2,5,6,1,3,4]
[5,1,4,2,3,+]=>[2,4,5,6,1,3]
[5,1,4,2,3,-]=>[2,4,5,1,3,6]
[5,1,4,2,6,3]=>[2,4,6,1,3,5]
[5,1,4,3,2,+]=>[2,4,5,6,1,3]
[5,1,4,3,2,-]=>[2,4,5,1,3,6]
[5,1,4,3,6,2]=>[2,4,6,1,3,5]
[5,1,4,6,2,3]=>[2,5,6,1,3,4]
[5,1,4,6,3,2]=>[2,5,6,1,3,4]
[5,1,6,2,3,4]=>[2,4,5,6,1,3]
[5,1,6,2,4,3]=>[2,4,5,6,1,3]
[5,1,6,3,2,4]=>[2,4,5,6,1,3]
[5,1,6,3,4,2]=>[2,4,5,6,1,3]
[5,1,6,+,2,3]=>[2,4,5,6,1,3]
[5,1,6,-,2,3]=>[2,5,6,1,3,4]
[5,1,6,+,3,2]=>[2,4,5,6,1,3]
[5,1,6,-,3,2]=>[2,5,6,1,3,4]
[5,+,1,3,4,+]=>[2,3,4,5,6,1]
[5,-,1,3,4,+]=>[3,4,5,6,1,2]
[5,+,1,3,4,-]=>[2,3,4,5,1,6]
[5,-,1,3,4,-]=>[3,4,5,1,2,6]
[5,+,1,3,6,4]=>[2,3,4,6,1,5]
[5,-,1,3,6,4]=>[3,4,6,1,2,5]
[5,+,1,+,3,+]=>[2,3,4,5,6,1]
[5,-,1,+,3,+]=>[3,4,5,6,1,2]
[5,+,1,-,3,+]=>[2,3,5,6,1,4]
[5,+,1,+,3,-]=>[2,3,4,5,1,6]
[5,-,1,-,3,+]=>[3,5,6,1,2,4]
[5,-,1,+,3,-]=>[3,4,5,1,2,6]
[5,+,1,-,3,-]=>[2,3,5,1,4,6]
[5,-,1,-,3,-]=>[3,5,1,2,4,6]
[5,+,1,+,6,3]=>[2,3,4,6,1,5]
[5,-,1,+,6,3]=>[3,4,6,1,2,5]
[5,+,1,-,6,3]=>[2,3,6,1,4,5]
[5,-,1,-,6,3]=>[3,6,1,2,4,5]
[5,+,1,6,3,4]=>[2,3,5,6,1,4]
[5,-,1,6,3,4]=>[3,5,6,1,2,4]
[5,+,1,6,4,3]=>[2,3,5,6,1,4]
[5,-,1,6,4,3]=>[3,5,6,1,2,4]
[5,+,+,1,4,+]=>[2,3,4,5,6,1]
[5,-,+,1,4,+]=>[3,4,5,6,1,2]
[5,+,-,1,4,+]=>[2,4,5,6,1,3]
[5,+,+,1,4,-]=>[2,3,4,5,1,6]
[5,-,-,1,4,+]=>[4,5,6,1,2,3]
[5,-,+,1,4,-]=>[3,4,5,1,2,6]
[5,+,-,1,4,-]=>[2,4,5,1,3,6]
[5,-,-,1,4,-]=>[4,5,1,2,3,6]
[5,+,+,1,6,4]=>[2,3,4,6,1,5]
[5,-,+,1,6,4]=>[3,4,6,1,2,5]
[5,+,-,1,6,4]=>[2,4,6,1,3,5]
[5,-,-,1,6,4]=>[4,6,1,2,3,5]
[5,+,+,+,1,+]=>[2,3,4,5,6,1]
[5,-,+,+,1,+]=>[3,4,5,6,1,2]
[5,+,-,+,1,+]=>[2,4,5,6,1,3]
[5,+,+,-,1,+]=>[2,3,5,6,1,4]
[5,+,+,+,1,-]=>[2,3,4,5,1,6]
[5,-,-,+,1,+]=>[4,5,6,1,2,3]
[5,-,+,-,1,+]=>[3,5,6,1,2,4]
[5,-,+,+,1,-]=>[3,4,5,1,2,6]
[5,+,-,-,1,+]=>[2,5,6,1,3,4]
[5,+,-,+,1,-]=>[2,4,5,1,3,6]
[5,+,+,-,1,-]=>[2,3,5,1,4,6]
[5,-,-,-,1,+]=>[5,6,1,2,3,4]
[5,-,-,+,1,-]=>[4,5,1,2,3,6]
[5,-,+,-,1,-]=>[3,5,1,2,4,6]
[5,+,-,-,1,-]=>[2,5,1,3,4,6]
[5,-,-,-,1,-]=>[5,1,2,3,4,6]
[5,+,+,+,6,1]=>[2,3,4,6,1,5]
[5,-,+,+,6,1]=>[3,4,6,1,2,5]
[5,+,-,+,6,1]=>[2,4,6,1,3,5]
[5,+,+,-,6,1]=>[2,3,6,1,4,5]
[5,-,-,+,6,1]=>[4,6,1,2,3,5]
[5,-,+,-,6,1]=>[3,6,1,2,4,5]
[5,+,-,-,6,1]=>[2,6,1,3,4,5]
[5,-,-,-,6,1]=>[6,1,2,3,4,5]
[5,+,+,6,1,4]=>[2,3,5,6,1,4]
[5,-,+,6,1,4]=>[3,5,6,1,2,4]
[5,+,-,6,1,4]=>[2,5,6,1,3,4]
[5,-,-,6,1,4]=>[5,6,1,2,3,4]
[5,+,+,6,4,1]=>[2,3,5,6,1,4]
[5,-,+,6,4,1]=>[3,5,6,1,2,4]
[5,+,-,6,4,1]=>[2,5,6,1,3,4]
[5,-,-,6,4,1]=>[5,6,1,2,3,4]
[5,+,4,1,3,+]=>[2,4,5,6,1,3]
[5,-,4,1,3,+]=>[4,5,6,1,2,3]
[5,+,4,1,3,-]=>[2,4,5,1,3,6]
[5,-,4,1,3,-]=>[4,5,1,2,3,6]
[5,+,4,1,6,3]=>[2,4,6,1,3,5]
[5,-,4,1,6,3]=>[4,6,1,2,3,5]
[5,+,4,3,1,+]=>[2,4,5,6,1,3]
[5,-,4,3,1,+]=>[4,5,6,1,2,3]
[5,+,4,3,1,-]=>[2,4,5,1,3,6]
[5,-,4,3,1,-]=>[4,5,1,2,3,6]
[5,+,4,3,6,1]=>[2,4,6,1,3,5]
[5,-,4,3,6,1]=>[4,6,1,2,3,5]
[5,+,4,6,1,3]=>[2,5,6,1,3,4]
[5,-,4,6,1,3]=>[5,6,1,2,3,4]
[5,+,4,6,3,1]=>[2,5,6,1,3,4]
[5,-,4,6,3,1]=>[5,6,1,2,3,4]
[5,+,6,1,3,4]=>[2,4,5,6,1,3]
[5,-,6,1,3,4]=>[4,5,6,1,2,3]
[5,+,6,1,4,3]=>[2,4,5,6,1,3]
[5,-,6,1,4,3]=>[4,5,6,1,2,3]
[5,+,6,3,1,4]=>[2,4,5,6,1,3]
[5,-,6,3,1,4]=>[4,5,6,1,2,3]
[5,+,6,3,4,1]=>[2,4,5,6,1,3]
[5,-,6,3,4,1]=>[4,5,6,1,2,3]
[5,+,6,+,1,3]=>[2,4,5,6,1,3]
[5,-,6,+,1,3]=>[4,5,6,1,2,3]
[5,+,6,-,1,3]=>[2,5,6,1,3,4]
[5,-,6,-,1,3]=>[5,6,1,2,3,4]
[5,+,6,+,3,1]=>[2,4,5,6,1,3]
[5,-,6,+,3,1]=>[4,5,6,1,2,3]
[5,+,6,-,3,1]=>[2,5,6,1,3,4]
[5,-,6,-,3,1]=>[5,6,1,2,3,4]
[5,3,1,2,4,+]=>[3,4,5,6,1,2]
[5,3,1,2,4,-]=>[3,4,5,1,2,6]
[5,3,1,2,6,4]=>[3,4,6,1,2,5]
[5,3,1,+,2,+]=>[3,4,5,6,1,2]
[5,3,1,-,2,+]=>[3,5,6,1,2,4]
[5,3,1,+,2,-]=>[3,4,5,1,2,6]
[5,3,1,-,2,-]=>[3,5,1,2,4,6]
[5,3,1,+,6,2]=>[3,4,6,1,2,5]
[5,3,1,-,6,2]=>[3,6,1,2,4,5]
[5,3,1,6,2,4]=>[3,5,6,1,2,4]
[5,3,1,6,4,2]=>[3,5,6,1,2,4]
[5,3,2,1,4,+]=>[3,4,5,6,1,2]
[5,3,2,1,4,-]=>[3,4,5,1,2,6]
[5,3,2,1,6,4]=>[3,4,6,1,2,5]
[5,3,2,+,1,+]=>[3,4,5,6,1,2]
[5,3,2,-,1,+]=>[3,5,6,1,2,4]
[5,3,2,+,1,-]=>[3,4,5,1,2,6]
[5,3,2,-,1,-]=>[3,5,1,2,4,6]
[5,3,2,+,6,1]=>[3,4,6,1,2,5]
[5,3,2,-,6,1]=>[3,6,1,2,4,5]
[5,3,2,6,1,4]=>[3,5,6,1,2,4]
[5,3,2,6,4,1]=>[3,5,6,1,2,4]
[5,3,4,1,2,+]=>[4,5,6,1,2,3]
[5,3,4,1,2,-]=>[4,5,1,2,3,6]
[5,3,4,1,6,2]=>[4,6,1,2,3,5]
[5,3,4,2,1,+]=>[4,5,6,1,2,3]
[5,3,4,2,1,-]=>[4,5,1,2,3,6]
[5,3,4,2,6,1]=>[4,6,1,2,3,5]
[5,3,4,6,1,2]=>[5,6,1,2,3,4]
[5,3,4,6,2,1]=>[5,6,1,2,3,4]
[5,3,6,1,2,4]=>[4,5,6,1,2,3]
[5,3,6,1,4,2]=>[4,5,6,1,2,3]
[5,3,6,2,1,4]=>[4,5,6,1,2,3]
[5,3,6,2,4,1]=>[4,5,6,1,2,3]
[5,3,6,+,1,2]=>[4,5,6,1,2,3]
[5,3,6,-,1,2]=>[5,6,1,2,3,4]
[5,3,6,+,2,1]=>[4,5,6,1,2,3]
[5,3,6,-,2,1]=>[5,6,1,2,3,4]
[5,4,1,2,3,+]=>[3,4,5,6,1,2]
[5,4,1,2,3,-]=>[3,4,5,1,2,6]
[5,4,1,2,6,3]=>[3,4,6,1,2,5]
[5,4,1,3,2,+]=>[3,4,5,6,1,2]
[5,4,1,3,2,-]=>[3,4,5,1,2,6]
[5,4,1,3,6,2]=>[3,4,6,1,2,5]
[5,4,1,6,2,3]=>[3,5,6,1,2,4]
[5,4,1,6,3,2]=>[3,5,6,1,2,4]
[5,4,2,1,3,+]=>[3,4,5,6,1,2]
[5,4,2,1,3,-]=>[3,4,5,1,2,6]
[5,4,2,1,6,3]=>[3,4,6,1,2,5]
[5,4,2,3,1,+]=>[3,4,5,6,1,2]
[5,4,2,3,1,-]=>[3,4,5,1,2,6]
[5,4,2,3,6,1]=>[3,4,6,1,2,5]
[5,4,2,6,1,3]=>[3,5,6,1,2,4]
[5,4,2,6,3,1]=>[3,5,6,1,2,4]
[5,4,+,1,2,+]=>[3,4,5,6,1,2]
[5,4,-,1,2,+]=>[4,5,6,1,2,3]
[5,4,+,1,2,-]=>[3,4,5,1,2,6]
[5,4,-,1,2,-]=>[4,5,1,2,3,6]
[5,4,+,1,6,2]=>[3,4,6,1,2,5]
[5,4,-,1,6,2]=>[4,6,1,2,3,5]
[5,4,+,2,1,+]=>[3,4,5,6,1,2]
[5,4,-,2,1,+]=>[4,5,6,1,2,3]
[5,4,+,2,1,-]=>[3,4,5,1,2,6]
[5,4,-,2,1,-]=>[4,5,1,2,3,6]
[5,4,+,2,6,1]=>[3,4,6,1,2,5]
[5,4,-,2,6,1]=>[4,6,1,2,3,5]
[5,4,+,6,1,2]=>[3,5,6,1,2,4]
[5,4,-,6,1,2]=>[5,6,1,2,3,4]
[5,4,+,6,2,1]=>[3,5,6,1,2,4]
[5,4,-,6,2,1]=>[5,6,1,2,3,4]
[5,4,6,1,2,3]=>[4,5,6,1,2,3]
[5,4,6,1,3,2]=>[4,5,6,1,2,3]
[5,4,6,2,1,3]=>[4,5,6,1,2,3]
[5,4,6,2,3,1]=>[4,5,6,1,2,3]
[5,4,6,3,1,2]=>[4,5,6,1,2,3]
[5,4,6,3,2,1]=>[4,5,6,1,2,3]
[5,6,1,2,3,4]=>[3,4,5,6,1,2]
[5,6,1,2,4,3]=>[3,4,5,6,1,2]
[5,6,1,3,2,4]=>[3,4,5,6,1,2]
[5,6,1,3,4,2]=>[3,4,5,6,1,2]
[5,6,1,+,2,3]=>[3,4,5,6,1,2]
[5,6,1,-,2,3]=>[3,5,6,1,2,4]
[5,6,1,+,3,2]=>[3,4,5,6,1,2]
[5,6,1,-,3,2]=>[3,5,6,1,2,4]
[5,6,2,1,3,4]=>[3,4,5,6,1,2]
[5,6,2,1,4,3]=>[3,4,5,6,1,2]
[5,6,2,3,1,4]=>[3,4,5,6,1,2]
[5,6,2,3,4,1]=>[3,4,5,6,1,2]
[5,6,2,+,1,3]=>[3,4,5,6,1,2]
[5,6,2,-,1,3]=>[3,5,6,1,2,4]
[5,6,2,+,3,1]=>[3,4,5,6,1,2]
[5,6,2,-,3,1]=>[3,5,6,1,2,4]
[5,6,+,1,2,4]=>[3,4,5,6,1,2]
[5,6,-,1,2,4]=>[4,5,6,1,2,3]
[5,6,+,1,4,2]=>[3,4,5,6,1,2]
[5,6,-,1,4,2]=>[4,5,6,1,2,3]
[5,6,+,2,1,4]=>[3,4,5,6,1,2]
[5,6,-,2,1,4]=>[4,5,6,1,2,3]
[5,6,+,2,4,1]=>[3,4,5,6,1,2]
[5,6,-,2,4,1]=>[4,5,6,1,2,3]
[5,6,+,+,1,2]=>[3,4,5,6,1,2]
[5,6,-,+,1,2]=>[4,5,6,1,2,3]
[5,6,+,-,1,2]=>[3,5,6,1,2,4]
[5,6,-,-,1,2]=>[5,6,1,2,3,4]
[5,6,+,+,2,1]=>[3,4,5,6,1,2]
[5,6,-,+,2,1]=>[4,5,6,1,2,3]
[5,6,+,-,2,1]=>[3,5,6,1,2,4]
[5,6,-,-,2,1]=>[5,6,1,2,3,4]
[5,6,4,1,2,3]=>[4,5,6,1,2,3]
[5,6,4,1,3,2]=>[4,5,6,1,2,3]
[5,6,4,2,1,3]=>[4,5,6,1,2,3]
[5,6,4,2,3,1]=>[4,5,6,1,2,3]
[5,6,4,3,1,2]=>[4,5,6,1,2,3]
[5,6,4,3,2,1]=>[4,5,6,1,2,3]
[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[6,1,2,3,+,4]=>[2,3,4,5,6,1]
[6,1,2,3,-,4]=>[2,3,4,6,1,5]
[6,1,2,+,3,5]=>[2,3,4,5,6,1]
[6,1,2,-,3,5]=>[2,3,5,6,1,4]
[6,1,2,+,+,3]=>[2,3,4,5,6,1]
[6,1,2,-,+,3]=>[2,3,5,6,1,4]
[6,1,2,+,-,3]=>[2,3,4,6,1,5]
[6,1,2,-,-,3]=>[2,3,6,1,4,5]
[6,1,2,5,3,4]=>[2,3,5,6,1,4]
[6,1,2,5,4,3]=>[2,3,5,6,1,4]
[6,1,+,2,4,5]=>[2,3,4,5,6,1]
[6,1,-,2,4,5]=>[2,4,5,6,1,3]
[6,1,+,2,+,4]=>[2,3,4,5,6,1]
[6,1,-,2,+,4]=>[2,4,5,6,1,3]
[6,1,+,2,-,4]=>[2,3,4,6,1,5]
[6,1,-,2,-,4]=>[2,4,6,1,3,5]
[6,1,+,+,2,5]=>[2,3,4,5,6,1]
[6,1,-,+,2,5]=>[2,4,5,6,1,3]
[6,1,+,-,2,5]=>[2,3,5,6,1,4]
[6,1,-,-,2,5]=>[2,5,6,1,3,4]
[6,1,+,+,+,2]=>[2,3,4,5,6,1]
[6,1,-,+,+,2]=>[2,4,5,6,1,3]
[6,1,+,-,+,2]=>[2,3,5,6,1,4]
[6,1,+,+,-,2]=>[2,3,4,6,1,5]
[6,1,-,-,+,2]=>[2,5,6,1,3,4]
[6,1,-,+,-,2]=>[2,4,6,1,3,5]
[6,1,+,-,-,2]=>[2,3,6,1,4,5]
[6,1,-,-,-,2]=>[2,6,1,3,4,5]
[6,1,+,5,2,4]=>[2,3,5,6,1,4]
[6,1,-,5,2,4]=>[2,5,6,1,3,4]
[6,1,+,5,4,2]=>[2,3,5,6,1,4]
[6,1,-,5,4,2]=>[2,5,6,1,3,4]
[6,1,4,2,3,5]=>[2,4,5,6,1,3]
[6,1,4,2,+,3]=>[2,4,5,6,1,3]
[6,1,4,2,-,3]=>[2,4,6,1,3,5]
[6,1,4,3,2,5]=>[2,4,5,6,1,3]
[6,1,4,3,+,2]=>[2,4,5,6,1,3]
[6,1,4,3,-,2]=>[2,4,6,1,3,5]
[6,1,4,5,2,3]=>[2,5,6,1,3,4]
[6,1,4,5,3,2]=>[2,5,6,1,3,4]
[6,1,5,2,3,4]=>[2,4,5,6,1,3]
[6,1,5,2,4,3]=>[2,4,5,6,1,3]
[6,1,5,3,2,4]=>[2,4,5,6,1,3]
[6,1,5,3,4,2]=>[2,4,5,6,1,3]
[6,1,5,+,2,3]=>[2,4,5,6,1,3]
[6,1,5,-,2,3]=>[2,5,6,1,3,4]
[6,1,5,+,3,2]=>[2,4,5,6,1,3]
[6,1,5,-,3,2]=>[2,5,6,1,3,4]
[6,+,1,3,4,5]=>[2,3,4,5,6,1]
[6,-,1,3,4,5]=>[3,4,5,6,1,2]
[6,+,1,3,+,4]=>[2,3,4,5,6,1]
[6,-,1,3,+,4]=>[3,4,5,6,1,2]
[6,+,1,3,-,4]=>[2,3,4,6,1,5]
[6,-,1,3,-,4]=>[3,4,6,1,2,5]
[6,+,1,+,3,5]=>[2,3,4,5,6,1]
[6,-,1,+,3,5]=>[3,4,5,6,1,2]
[6,+,1,-,3,5]=>[2,3,5,6,1,4]
[6,-,1,-,3,5]=>[3,5,6,1,2,4]
[6,+,1,+,+,3]=>[2,3,4,5,6,1]
[6,-,1,+,+,3]=>[3,4,5,6,1,2]
[6,+,1,-,+,3]=>[2,3,5,6,1,4]
[6,+,1,+,-,3]=>[2,3,4,6,1,5]
[6,-,1,-,+,3]=>[3,5,6,1,2,4]
[6,-,1,+,-,3]=>[3,4,6,1,2,5]
[6,+,1,-,-,3]=>[2,3,6,1,4,5]
[6,-,1,-,-,3]=>[3,6,1,2,4,5]
[6,+,1,5,3,4]=>[2,3,5,6,1,4]
[6,-,1,5,3,4]=>[3,5,6,1,2,4]
[6,+,1,5,4,3]=>[2,3,5,6,1,4]
[6,-,1,5,4,3]=>[3,5,6,1,2,4]
[6,+,+,1,4,5]=>[2,3,4,5,6,1]
[6,-,+,1,4,5]=>[3,4,5,6,1,2]
[6,+,-,1,4,5]=>[2,4,5,6,1,3]
[6,-,-,1,4,5]=>[4,5,6,1,2,3]
[6,+,+,1,+,4]=>[2,3,4,5,6,1]
[6,-,+,1,+,4]=>[3,4,5,6,1,2]
[6,+,-,1,+,4]=>[2,4,5,6,1,3]
[6,+,+,1,-,4]=>[2,3,4,6,1,5]
[6,-,-,1,+,4]=>[4,5,6,1,2,3]
[6,-,+,1,-,4]=>[3,4,6,1,2,5]
[6,+,-,1,-,4]=>[2,4,6,1,3,5]
[6,-,-,1,-,4]=>[4,6,1,2,3,5]
[6,+,+,+,1,5]=>[2,3,4,5,6,1]
[6,-,+,+,1,5]=>[3,4,5,6,1,2]
[6,+,-,+,1,5]=>[2,4,5,6,1,3]
[6,+,+,-,1,5]=>[2,3,5,6,1,4]
[6,-,-,+,1,5]=>[4,5,6,1,2,3]
[6,-,+,-,1,5]=>[3,5,6,1,2,4]
[6,+,-,-,1,5]=>[2,5,6,1,3,4]
[6,-,-,-,1,5]=>[5,6,1,2,3,4]
[6,+,+,+,+,1]=>[2,3,4,5,6,1]
[6,-,+,+,+,1]=>[3,4,5,6,1,2]
[6,+,-,+,+,1]=>[2,4,5,6,1,3]
[6,+,+,-,+,1]=>[2,3,5,6,1,4]
[6,+,+,+,-,1]=>[2,3,4,6,1,5]
[6,-,-,+,+,1]=>[4,5,6,1,2,3]
[6,-,+,-,+,1]=>[3,5,6,1,2,4]
[6,-,+,+,-,1]=>[3,4,6,1,2,5]
[6,+,-,-,+,1]=>[2,5,6,1,3,4]
[6,+,-,+,-,1]=>[2,4,6,1,3,5]
[6,+,+,-,-,1]=>[2,3,6,1,4,5]
[6,-,-,-,+,1]=>[5,6,1,2,3,4]
[6,-,-,+,-,1]=>[4,6,1,2,3,5]
[6,-,+,-,-,1]=>[3,6,1,2,4,5]
[6,+,-,-,-,1]=>[2,6,1,3,4,5]
[6,-,-,-,-,1]=>[6,1,2,3,4,5]
[6,+,+,5,1,4]=>[2,3,5,6,1,4]
[6,-,+,5,1,4]=>[3,5,6,1,2,4]
[6,+,-,5,1,4]=>[2,5,6,1,3,4]
[6,-,-,5,1,4]=>[5,6,1,2,3,4]
[6,+,+,5,4,1]=>[2,3,5,6,1,4]
[6,-,+,5,4,1]=>[3,5,6,1,2,4]
[6,+,-,5,4,1]=>[2,5,6,1,3,4]
[6,-,-,5,4,1]=>[5,6,1,2,3,4]
[6,+,4,1,3,5]=>[2,4,5,6,1,3]
[6,-,4,1,3,5]=>[4,5,6,1,2,3]
[6,+,4,1,+,3]=>[2,4,5,6,1,3]
[6,-,4,1,+,3]=>[4,5,6,1,2,3]
[6,+,4,1,-,3]=>[2,4,6,1,3,5]
[6,-,4,1,-,3]=>[4,6,1,2,3,5]
[6,+,4,3,1,5]=>[2,4,5,6,1,3]
[6,-,4,3,1,5]=>[4,5,6,1,2,3]
[6,+,4,3,+,1]=>[2,4,5,6,1,3]
[6,-,4,3,+,1]=>[4,5,6,1,2,3]
[6,+,4,3,-,1]=>[2,4,6,1,3,5]
[6,-,4,3,-,1]=>[4,6,1,2,3,5]
[6,+,4,5,1,3]=>[2,5,6,1,3,4]
[6,-,4,5,1,3]=>[5,6,1,2,3,4]
[6,+,4,5,3,1]=>[2,5,6,1,3,4]
[6,-,4,5,3,1]=>[5,6,1,2,3,4]
[6,+,5,1,3,4]=>[2,4,5,6,1,3]
[6,-,5,1,3,4]=>[4,5,6,1,2,3]
[6,+,5,1,4,3]=>[2,4,5,6,1,3]
[6,-,5,1,4,3]=>[4,5,6,1,2,3]
[6,+,5,3,1,4]=>[2,4,5,6,1,3]
[6,-,5,3,1,4]=>[4,5,6,1,2,3]
[6,+,5,3,4,1]=>[2,4,5,6,1,3]
[6,-,5,3,4,1]=>[4,5,6,1,2,3]
[6,+,5,+,1,3]=>[2,4,5,6,1,3]
[6,-,5,+,1,3]=>[4,5,6,1,2,3]
[6,+,5,-,1,3]=>[2,5,6,1,3,4]
[6,-,5,-,1,3]=>[5,6,1,2,3,4]
[6,+,5,+,3,1]=>[2,4,5,6,1,3]
[6,-,5,+,3,1]=>[4,5,6,1,2,3]
[6,+,5,-,3,1]=>[2,5,6,1,3,4]
[6,-,5,-,3,1]=>[5,6,1,2,3,4]
[6,3,1,2,4,5]=>[3,4,5,6,1,2]
[6,3,1,2,+,4]=>[3,4,5,6,1,2]
[6,3,1,2,-,4]=>[3,4,6,1,2,5]
[6,3,1,+,2,5]=>[3,4,5,6,1,2]
[6,3,1,-,2,5]=>[3,5,6,1,2,4]
[6,3,1,+,+,2]=>[3,4,5,6,1,2]
[6,3,1,-,+,2]=>[3,5,6,1,2,4]
[6,3,1,+,-,2]=>[3,4,6,1,2,5]
[6,3,1,-,-,2]=>[3,6,1,2,4,5]
[6,3,1,5,2,4]=>[3,5,6,1,2,4]
[6,3,1,5,4,2]=>[3,5,6,1,2,4]
[6,3,2,1,4,5]=>[3,4,5,6,1,2]
[6,3,2,1,+,4]=>[3,4,5,6,1,2]
[6,3,2,1,-,4]=>[3,4,6,1,2,5]
[6,3,2,+,1,5]=>[3,4,5,6,1,2]
[6,3,2,-,1,5]=>[3,5,6,1,2,4]
[6,3,2,+,+,1]=>[3,4,5,6,1,2]
[6,3,2,-,+,1]=>[3,5,6,1,2,4]
[6,3,2,+,-,1]=>[3,4,6,1,2,5]
[6,3,2,-,-,1]=>[3,6,1,2,4,5]
[6,3,2,5,1,4]=>[3,5,6,1,2,4]
[6,3,2,5,4,1]=>[3,5,6,1,2,4]
[6,3,4,1,2,5]=>[4,5,6,1,2,3]
[6,3,4,1,+,2]=>[4,5,6,1,2,3]
[6,3,4,1,-,2]=>[4,6,1,2,3,5]
[6,3,4,2,1,5]=>[4,5,6,1,2,3]
[6,3,4,2,+,1]=>[4,5,6,1,2,3]
[6,3,4,2,-,1]=>[4,6,1,2,3,5]
[6,3,4,5,1,2]=>[5,6,1,2,3,4]
[6,3,4,5,2,1]=>[5,6,1,2,3,4]
[6,3,5,1,2,4]=>[4,5,6,1,2,3]
[6,3,5,1,4,2]=>[4,5,6,1,2,3]
[6,3,5,2,1,4]=>[4,5,6,1,2,3]
[6,3,5,2,4,1]=>[4,5,6,1,2,3]
[6,3,5,+,1,2]=>[4,5,6,1,2,3]
[6,3,5,-,1,2]=>[5,6,1,2,3,4]
[6,3,5,+,2,1]=>[4,5,6,1,2,3]
[6,3,5,-,2,1]=>[5,6,1,2,3,4]
[6,4,1,2,3,5]=>[3,4,5,6,1,2]
[6,4,1,2,+,3]=>[3,4,5,6,1,2]
[6,4,1,2,-,3]=>[3,4,6,1,2,5]
[6,4,1,3,2,5]=>[3,4,5,6,1,2]
[6,4,1,3,+,2]=>[3,4,5,6,1,2]
[6,4,1,3,-,2]=>[3,4,6,1,2,5]
[6,4,1,5,2,3]=>[3,5,6,1,2,4]
[6,4,1,5,3,2]=>[3,5,6,1,2,4]
[6,4,2,1,3,5]=>[3,4,5,6,1,2]
[6,4,2,1,+,3]=>[3,4,5,6,1,2]
[6,4,2,1,-,3]=>[3,4,6,1,2,5]
[6,4,2,3,1,5]=>[3,4,5,6,1,2]
[6,4,2,3,+,1]=>[3,4,5,6,1,2]
[6,4,2,3,-,1]=>[3,4,6,1,2,5]
[6,4,2,5,1,3]=>[3,5,6,1,2,4]
[6,4,2,5,3,1]=>[3,5,6,1,2,4]
[6,4,+,1,2,5]=>[3,4,5,6,1,2]
[6,4,-,1,2,5]=>[4,5,6,1,2,3]
[6,4,+,1,+,2]=>[3,4,5,6,1,2]
[6,4,-,1,+,2]=>[4,5,6,1,2,3]
[6,4,+,1,-,2]=>[3,4,6,1,2,5]
[6,4,-,1,-,2]=>[4,6,1,2,3,5]
[6,4,+,2,1,5]=>[3,4,5,6,1,2]
[6,4,-,2,1,5]=>[4,5,6,1,2,3]
[6,4,+,2,+,1]=>[3,4,5,6,1,2]
[6,4,-,2,+,1]=>[4,5,6,1,2,3]
[6,4,+,2,-,1]=>[3,4,6,1,2,5]
[6,4,-,2,-,1]=>[4,6,1,2,3,5]
[6,4,+,5,1,2]=>[3,5,6,1,2,4]
[6,4,-,5,1,2]=>[5,6,1,2,3,4]
[6,4,+,5,2,1]=>[3,5,6,1,2,4]
[6,4,-,5,2,1]=>[5,6,1,2,3,4]
[6,4,5,1,2,3]=>[4,5,6,1,2,3]
[6,4,5,1,3,2]=>[4,5,6,1,2,3]
[6,4,5,2,1,3]=>[4,5,6,1,2,3]
[6,4,5,2,3,1]=>[4,5,6,1,2,3]
[6,4,5,3,1,2]=>[4,5,6,1,2,3]
[6,4,5,3,2,1]=>[4,5,6,1,2,3]
[6,5,1,2,3,4]=>[3,4,5,6,1,2]
[6,5,1,2,4,3]=>[3,4,5,6,1,2]
[6,5,1,3,2,4]=>[3,4,5,6,1,2]
[6,5,1,3,4,2]=>[3,4,5,6,1,2]
[6,5,1,+,2,3]=>[3,4,5,6,1,2]
[6,5,1,-,2,3]=>[3,5,6,1,2,4]
[6,5,1,+,3,2]=>[3,4,5,6,1,2]
[6,5,1,-,3,2]=>[3,5,6,1,2,4]
[6,5,2,1,3,4]=>[3,4,5,6,1,2]
[6,5,2,1,4,3]=>[3,4,5,6,1,2]
[6,5,2,3,1,4]=>[3,4,5,6,1,2]
[6,5,2,3,4,1]=>[3,4,5,6,1,2]
[6,5,2,+,1,3]=>[3,4,5,6,1,2]
[6,5,2,-,1,3]=>[3,5,6,1,2,4]
[6,5,2,+,3,1]=>[3,4,5,6,1,2]
[6,5,2,-,3,1]=>[3,5,6,1,2,4]
[6,5,+,1,2,4]=>[3,4,5,6,1,2]
[6,5,-,1,2,4]=>[4,5,6,1,2,3]
[6,5,+,1,4,2]=>[3,4,5,6,1,2]
[6,5,-,1,4,2]=>[4,5,6,1,2,3]
[6,5,+,2,1,4]=>[3,4,5,6,1,2]
[6,5,-,2,1,4]=>[4,5,6,1,2,3]
[6,5,+,2,4,1]=>[3,4,5,6,1,2]
[6,5,-,2,4,1]=>[4,5,6,1,2,3]
[6,5,+,+,1,2]=>[3,4,5,6,1,2]
[6,5,-,+,1,2]=>[4,5,6,1,2,3]
[6,5,+,-,1,2]=>[3,5,6,1,2,4]
[6,5,-,-,1,2]=>[5,6,1,2,3,4]
[6,5,+,+,2,1]=>[3,4,5,6,1,2]
[6,5,-,+,2,1]=>[4,5,6,1,2,3]
[6,5,+,-,2,1]=>[3,5,6,1,2,4]
[6,5,-,-,2,1]=>[5,6,1,2,3,4]
[6,5,4,1,2,3]=>[4,5,6,1,2,3]
[6,5,4,1,3,2]=>[4,5,6,1,2,3]
[6,5,4,2,1,3]=>[4,5,6,1,2,3]
[6,5,4,2,3,1]=>[4,5,6,1,2,3]
[6,5,4,3,1,2]=>[4,5,6,1,2,3]
[6,5,4,3,2,1]=>[4,5,6,1,2,3]
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
The upper bound in the Grassmann interval corresponding to the decorated permutation.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $v$.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $v$.
References
[1] Billey, S. C., Weaver, J. E. Criteria for smoothness of Positroid varieties via pattern avoidance, Johnson graphs, and spirographs arXiv:2207.06508
Properties
graded
Sage code
def anti_exceedance_positions(x):
"""
sage: x = DecoratedPermutation([5,4,1,2,7,6,9,-8,3])
sage: anti_exceedance_positions(x)
[3, 4, 9, 6]
"""
pi = x.permutation()
pi_inv = pi.inverse()
x = list(x)
n = len(pi)
anti = []
for i in range(1, n+1):
if i < pi_inv(i) or x[i-1] == i:
anti.append(pi_inv(i))
return anti
def to_grassmann_interval(x):
"""
sage: x = DecoratedPermutation([5,4,1,2,7,6,9,-8,3])
sage: to_grassmann_interval(x)
([1, 2, 6, 3, 5, 4, 7, 9, 8], [3, 4, 6, 9, 1, 2, 5, 7, 8])
"""
n = len(x.permutation())
I = anti_exceedance_positions(x)
x = list(x)
u1 = []
u2 = []
v1 = []
v2 = []
for i in range(1, n+1):
if i in I:
v1.append(i)
u1.append(abs(x[i-1]))
else:
v2.append(i)
u2.append(abs(x[i-1]))
return Permutation(u1+u2), Permutation(v1+v2)
def mapping(x):
return to_grassmann_interval(x)[1]
Weight
51
Created
Jul 21, 2022 at 11:26 by Martin Rubey
Updated
Jul 22, 2022 at 06:17 by Martin Rubey
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