Identifier
Images
=>
[1]=>[1]
[-1]=>[-1]
[1,2]=>[2,1]
[1,-2]=>[-2,1]
[-1,2]=>[2,-1]
[-1,-2]=>[-2,-1]
[2,1]=>[1,2]
[2,-1]=>[-1,2]
[-2,1]=>[1,-2]
[-2,-1]=>[-1,-2]
[1,2,3]=>[3,2,1]
[1,2,-3]=>[-3,2,1]
[1,-2,3]=>[3,-2,1]
[1,-2,-3]=>[-3,-2,1]
[-1,2,3]=>[3,2,-1]
[-1,2,-3]=>[-3,2,-1]
[-1,-2,3]=>[3,-2,-1]
[-1,-2,-3]=>[-3,-2,-1]
[1,3,2]=>[2,3,1]
[1,3,-2]=>[-2,3,1]
[1,-3,2]=>[2,-3,1]
[1,-3,-2]=>[-2,-3,1]
[-1,3,2]=>[2,3,-1]
[-1,3,-2]=>[-2,3,-1]
[-1,-3,2]=>[2,-3,-1]
[-1,-3,-2]=>[-2,-3,-1]
[2,1,3]=>[3,1,2]
[2,1,-3]=>[-3,1,2]
[2,-1,3]=>[3,-1,2]
[2,-1,-3]=>[-3,-1,2]
[-2,1,3]=>[3,1,-2]
[-2,1,-3]=>[-3,1,-2]
[-2,-1,3]=>[3,-1,-2]
[-2,-1,-3]=>[-3,-1,-2]
[2,3,1]=>[1,3,2]
[2,3,-1]=>[-1,3,2]
[2,-3,1]=>[1,-3,2]
[2,-3,-1]=>[-1,-3,2]
[-2,3,1]=>[1,3,-2]
[-2,3,-1]=>[-1,3,-2]
[-2,-3,1]=>[1,-3,-2]
[-2,-3,-1]=>[-1,-3,-2]
[3,1,2]=>[2,1,3]
[3,1,-2]=>[-2,1,3]
[3,-1,2]=>[2,-1,3]
[3,-1,-2]=>[-2,-1,3]
[-3,1,2]=>[2,1,-3]
[-3,1,-2]=>[-2,1,-3]
[-3,-1,2]=>[2,-1,-3]
[-3,-1,-2]=>[-2,-1,-3]
[3,2,1]=>[1,2,3]
[3,2,-1]=>[-1,2,3]
[3,-2,1]=>[1,-2,3]
[3,-2,-1]=>[-1,-2,3]
[-3,2,1]=>[1,2,-3]
[-3,2,-1]=>[-1,2,-3]
[-3,-2,1]=>[1,-2,-3]
[-3,-2,-1]=>[-1,-2,-3]
[1,2,3,4]=>[4,3,2,1]
[1,2,3,-4]=>[-4,3,2,1]
[1,2,-3,4]=>[4,-3,2,1]
[1,2,-3,-4]=>[-4,-3,2,1]
[1,-2,3,4]=>[4,3,-2,1]
[1,-2,3,-4]=>[-4,3,-2,1]
[1,-2,-3,4]=>[4,-3,-2,1]
[1,-2,-3,-4]=>[-4,-3,-2,1]
[-1,2,3,4]=>[4,3,2,-1]
[-1,2,3,-4]=>[-4,3,2,-1]
[-1,2,-3,4]=>[4,-3,2,-1]
[-1,2,-3,-4]=>[-4,-3,2,-1]
[-1,-2,3,4]=>[4,3,-2,-1]
[-1,-2,3,-4]=>[-4,3,-2,-1]
[-1,-2,-3,4]=>[4,-3,-2,-1]
[-1,-2,-3,-4]=>[-4,-3,-2,-1]
[1,2,4,3]=>[3,4,2,1]
[1,2,4,-3]=>[-3,4,2,1]
[1,2,-4,3]=>[3,-4,2,1]
[1,2,-4,-3]=>[-3,-4,2,1]
[1,-2,4,3]=>[3,4,-2,1]
[1,-2,4,-3]=>[-3,4,-2,1]
[1,-2,-4,3]=>[3,-4,-2,1]
[1,-2,-4,-3]=>[-3,-4,-2,1]
[-1,2,4,3]=>[3,4,2,-1]
[-1,2,4,-3]=>[-3,4,2,-1]
[-1,2,-4,3]=>[3,-4,2,-1]
[-1,2,-4,-3]=>[-3,-4,2,-1]
[-1,-2,4,3]=>[3,4,-2,-1]
[-1,-2,4,-3]=>[-3,4,-2,-1]
[-1,-2,-4,3]=>[3,-4,-2,-1]
[-1,-2,-4,-3]=>[-3,-4,-2,-1]
[1,3,2,4]=>[4,2,3,1]
[1,3,2,-4]=>[-4,2,3,1]
[1,3,-2,4]=>[4,-2,3,1]
[1,3,-2,-4]=>[-4,-2,3,1]
[1,-3,2,4]=>[4,2,-3,1]
[1,-3,2,-4]=>[-4,2,-3,1]
[1,-3,-2,4]=>[4,-2,-3,1]
[1,-3,-2,-4]=>[-4,-2,-3,1]
[-1,3,2,4]=>[4,2,3,-1]
[-1,3,2,-4]=>[-4,2,3,-1]
[-1,3,-2,4]=>[4,-2,3,-1]
[-1,3,-2,-4]=>[-4,-2,3,-1]
[-1,-3,2,4]=>[4,2,-3,-1]
[-1,-3,2,-4]=>[-4,2,-3,-1]
[-1,-3,-2,4]=>[4,-2,-3,-1]
[-1,-3,-2,-4]=>[-4,-2,-3,-1]
[1,3,4,2]=>[2,4,3,1]
[1,3,4,-2]=>[-2,4,3,1]
[1,3,-4,2]=>[2,-4,3,1]
[1,3,-4,-2]=>[-2,-4,3,1]
[1,-3,4,2]=>[2,4,-3,1]
[1,-3,4,-2]=>[-2,4,-3,1]
[1,-3,-4,2]=>[2,-4,-3,1]
[1,-3,-4,-2]=>[-2,-4,-3,1]
[-1,3,4,2]=>[2,4,3,-1]
[-1,3,4,-2]=>[-2,4,3,-1]
[-1,3,-4,2]=>[2,-4,3,-1]
[-1,3,-4,-2]=>[-2,-4,3,-1]
[-1,-3,4,2]=>[2,4,-3,-1]
[-1,-3,4,-2]=>[-2,4,-3,-1]
[-1,-3,-4,2]=>[2,-4,-3,-1]
[-1,-3,-4,-2]=>[-2,-4,-3,-1]
[1,4,2,3]=>[3,2,4,1]
[1,4,2,-3]=>[-3,2,4,1]
[1,4,-2,3]=>[3,-2,4,1]
[1,4,-2,-3]=>[-3,-2,4,1]
[1,-4,2,3]=>[3,2,-4,1]
[1,-4,2,-3]=>[-3,2,-4,1]
[1,-4,-2,3]=>[3,-2,-4,1]
[1,-4,-2,-3]=>[-3,-2,-4,1]
[-1,4,2,3]=>[3,2,4,-1]
[-1,4,2,-3]=>[-3,2,4,-1]
[-1,4,-2,3]=>[3,-2,4,-1]
[-1,4,-2,-3]=>[-3,-2,4,-1]
[-1,-4,2,3]=>[3,2,-4,-1]
[-1,-4,2,-3]=>[-3,2,-4,-1]
[-1,-4,-2,3]=>[3,-2,-4,-1]
[-1,-4,-2,-3]=>[-3,-2,-4,-1]
[1,4,3,2]=>[2,3,4,1]
[1,4,3,-2]=>[-2,3,4,1]
[1,4,-3,2]=>[2,-3,4,1]
[1,4,-3,-2]=>[-2,-3,4,1]
[1,-4,3,2]=>[2,3,-4,1]
[1,-4,3,-2]=>[-2,3,-4,1]
[1,-4,-3,2]=>[2,-3,-4,1]
[1,-4,-3,-2]=>[-2,-3,-4,1]
[-1,4,3,2]=>[2,3,4,-1]
[-1,4,3,-2]=>[-2,3,4,-1]
[-1,4,-3,2]=>[2,-3,4,-1]
[-1,4,-3,-2]=>[-2,-3,4,-1]
[-1,-4,3,2]=>[2,3,-4,-1]
[-1,-4,3,-2]=>[-2,3,-4,-1]
[-1,-4,-3,2]=>[2,-3,-4,-1]
[-1,-4,-3,-2]=>[-2,-3,-4,-1]
[2,1,3,4]=>[4,3,1,2]
[2,1,3,-4]=>[-4,3,1,2]
[2,1,-3,4]=>[4,-3,1,2]
[2,1,-3,-4]=>[-4,-3,1,2]
[2,-1,3,4]=>[4,3,-1,2]
[2,-1,3,-4]=>[-4,3,-1,2]
[2,-1,-3,4]=>[4,-3,-1,2]
[2,-1,-3,-4]=>[-4,-3,-1,2]
[-2,1,3,4]=>[4,3,1,-2]
[-2,1,3,-4]=>[-4,3,1,-2]
[-2,1,-3,4]=>[4,-3,1,-2]
[-2,1,-3,-4]=>[-4,-3,1,-2]
[-2,-1,3,4]=>[4,3,-1,-2]
[-2,-1,3,-4]=>[-4,3,-1,-2]
[-2,-1,-3,4]=>[4,-3,-1,-2]
[-2,-1,-3,-4]=>[-4,-3,-1,-2]
[2,1,4,3]=>[3,4,1,2]
[2,1,4,-3]=>[-3,4,1,2]
[2,1,-4,3]=>[3,-4,1,2]
[2,1,-4,-3]=>[-3,-4,1,2]
[2,-1,4,3]=>[3,4,-1,2]
[2,-1,4,-3]=>[-3,4,-1,2]
[2,-1,-4,3]=>[3,-4,-1,2]
[2,-1,-4,-3]=>[-3,-4,-1,2]
[-2,1,4,3]=>[3,4,1,-2]
[-2,1,4,-3]=>[-3,4,1,-2]
[-2,1,-4,3]=>[3,-4,1,-2]
[-2,1,-4,-3]=>[-3,-4,1,-2]
[-2,-1,4,3]=>[3,4,-1,-2]
[-2,-1,4,-3]=>[-3,4,-1,-2]
[-2,-1,-4,3]=>[3,-4,-1,-2]
[-2,-1,-4,-3]=>[-3,-4,-1,-2]
[2,3,1,4]=>[4,1,3,2]
[2,3,1,-4]=>[-4,1,3,2]
[2,3,-1,4]=>[4,-1,3,2]
[2,3,-1,-4]=>[-4,-1,3,2]
[2,-3,1,4]=>[4,1,-3,2]
[2,-3,1,-4]=>[-4,1,-3,2]
[2,-3,-1,4]=>[4,-1,-3,2]
[2,-3,-1,-4]=>[-4,-1,-3,2]
[-2,3,1,4]=>[4,1,3,-2]
[-2,3,1,-4]=>[-4,1,3,-2]
[-2,3,-1,4]=>[4,-1,3,-2]
[-2,3,-1,-4]=>[-4,-1,3,-2]
[-2,-3,1,4]=>[4,1,-3,-2]
[-2,-3,1,-4]=>[-4,1,-3,-2]
[-2,-3,-1,4]=>[4,-1,-3,-2]
[-2,-3,-1,-4]=>[-4,-1,-3,-2]
[2,3,4,1]=>[1,4,3,2]
[2,3,4,-1]=>[-1,4,3,2]
[2,3,-4,1]=>[1,-4,3,2]
[2,3,-4,-1]=>[-1,-4,3,2]
[2,-3,4,1]=>[1,4,-3,2]
[2,-3,4,-1]=>[-1,4,-3,2]
[2,-3,-4,1]=>[1,-4,-3,2]
[2,-3,-4,-1]=>[-1,-4,-3,2]
[-2,3,4,1]=>[1,4,3,-2]
[-2,3,4,-1]=>[-1,4,3,-2]
[-2,3,-4,1]=>[1,-4,3,-2]
[-2,3,-4,-1]=>[-1,-4,3,-2]
[-2,-3,4,1]=>[1,4,-3,-2]
[-2,-3,4,-1]=>[-1,4,-3,-2]
[-2,-3,-4,1]=>[1,-4,-3,-2]
[-2,-3,-4,-1]=>[-1,-4,-3,-2]
[2,4,1,3]=>[3,1,4,2]
[2,4,1,-3]=>[-3,1,4,2]
[2,4,-1,3]=>[3,-1,4,2]
[2,4,-1,-3]=>[-3,-1,4,2]
[2,-4,1,3]=>[3,1,-4,2]
[2,-4,1,-3]=>[-3,1,-4,2]
[2,-4,-1,3]=>[3,-1,-4,2]
[2,-4,-1,-3]=>[-3,-1,-4,2]
[-2,4,1,3]=>[3,1,4,-2]
[-2,4,1,-3]=>[-3,1,4,-2]
[-2,4,-1,3]=>[3,-1,4,-2]
[-2,4,-1,-3]=>[-3,-1,4,-2]
[-2,-4,1,3]=>[3,1,-4,-2]
[-2,-4,1,-3]=>[-3,1,-4,-2]
[-2,-4,-1,3]=>[3,-1,-4,-2]
[-2,-4,-1,-3]=>[-3,-1,-4,-2]
[2,4,3,1]=>[1,3,4,2]
[2,4,3,-1]=>[-1,3,4,2]
[2,4,-3,1]=>[1,-3,4,2]
[2,4,-3,-1]=>[-1,-3,4,2]
[2,-4,3,1]=>[1,3,-4,2]
[2,-4,3,-1]=>[-1,3,-4,2]
[2,-4,-3,1]=>[1,-3,-4,2]
[2,-4,-3,-1]=>[-1,-3,-4,2]
[-2,4,3,1]=>[1,3,4,-2]
[-2,4,3,-1]=>[-1,3,4,-2]
[-2,4,-3,1]=>[1,-3,4,-2]
[-2,4,-3,-1]=>[-1,-3,4,-2]
[-2,-4,3,1]=>[1,3,-4,-2]
[-2,-4,3,-1]=>[-1,3,-4,-2]
[-2,-4,-3,1]=>[1,-3,-4,-2]
[-2,-4,-3,-1]=>[-1,-3,-4,-2]
[3,1,2,4]=>[4,2,1,3]
[3,1,2,-4]=>[-4,2,1,3]
[3,1,-2,4]=>[4,-2,1,3]
[3,1,-2,-4]=>[-4,-2,1,3]
[3,-1,2,4]=>[4,2,-1,3]
[3,-1,2,-4]=>[-4,2,-1,3]
[3,-1,-2,4]=>[4,-2,-1,3]
[3,-1,-2,-4]=>[-4,-2,-1,3]
[-3,1,2,4]=>[4,2,1,-3]
[-3,1,2,-4]=>[-4,2,1,-3]
[-3,1,-2,4]=>[4,-2,1,-3]
[-3,1,-2,-4]=>[-4,-2,1,-3]
[-3,-1,2,4]=>[4,2,-1,-3]
[-3,-1,2,-4]=>[-4,2,-1,-3]
[-3,-1,-2,4]=>[4,-2,-1,-3]
[-3,-1,-2,-4]=>[-4,-2,-1,-3]
[3,1,4,2]=>[2,4,1,3]
[3,1,4,-2]=>[-2,4,1,3]
[3,1,-4,2]=>[2,-4,1,3]
[3,1,-4,-2]=>[-2,-4,1,3]
[3,-1,4,2]=>[2,4,-1,3]
[3,-1,4,-2]=>[-2,4,-1,3]
[3,-1,-4,2]=>[2,-4,-1,3]
[3,-1,-4,-2]=>[-2,-4,-1,3]
[-3,1,4,2]=>[2,4,1,-3]
[-3,1,4,-2]=>[-2,4,1,-3]
[-3,1,-4,2]=>[2,-4,1,-3]
[-3,1,-4,-2]=>[-2,-4,1,-3]
[-3,-1,4,2]=>[2,4,-1,-3]
[-3,-1,4,-2]=>[-2,4,-1,-3]
[-3,-1,-4,2]=>[2,-4,-1,-3]
[-3,-1,-4,-2]=>[-2,-4,-1,-3]
[3,2,1,4]=>[4,1,2,3]
[3,2,1,-4]=>[-4,1,2,3]
[3,2,-1,4]=>[4,-1,2,3]
[3,2,-1,-4]=>[-4,-1,2,3]
[3,-2,1,4]=>[4,1,-2,3]
[3,-2,1,-4]=>[-4,1,-2,3]
[3,-2,-1,4]=>[4,-1,-2,3]
[3,-2,-1,-4]=>[-4,-1,-2,3]
[-3,2,1,4]=>[4,1,2,-3]
[-3,2,1,-4]=>[-4,1,2,-3]
[-3,2,-1,4]=>[4,-1,2,-3]
[-3,2,-1,-4]=>[-4,-1,2,-3]
[-3,-2,1,4]=>[4,1,-2,-3]
[-3,-2,1,-4]=>[-4,1,-2,-3]
[-3,-2,-1,4]=>[4,-1,-2,-3]
[-3,-2,-1,-4]=>[-4,-1,-2,-3]
[3,2,4,1]=>[1,4,2,3]
[3,2,4,-1]=>[-1,4,2,3]
[3,2,-4,1]=>[1,-4,2,3]
[3,2,-4,-1]=>[-1,-4,2,3]
[3,-2,4,1]=>[1,4,-2,3]
[3,-2,4,-1]=>[-1,4,-2,3]
[3,-2,-4,1]=>[1,-4,-2,3]
[3,-2,-4,-1]=>[-1,-4,-2,3]
[-3,2,4,1]=>[1,4,2,-3]
[-3,2,4,-1]=>[-1,4,2,-3]
[-3,2,-4,1]=>[1,-4,2,-3]
[-3,2,-4,-1]=>[-1,-4,2,-3]
[-3,-2,4,1]=>[1,4,-2,-3]
[-3,-2,4,-1]=>[-1,4,-2,-3]
[-3,-2,-4,1]=>[1,-4,-2,-3]
[-3,-2,-4,-1]=>[-1,-4,-2,-3]
[3,4,1,2]=>[2,1,4,3]
[3,4,1,-2]=>[-2,1,4,3]
[3,4,-1,2]=>[2,-1,4,3]
[3,4,-1,-2]=>[-2,-1,4,3]
[3,-4,1,2]=>[2,1,-4,3]
[3,-4,1,-2]=>[-2,1,-4,3]
[3,-4,-1,2]=>[2,-1,-4,3]
[3,-4,-1,-2]=>[-2,-1,-4,3]
[-3,4,1,2]=>[2,1,4,-3]
[-3,4,1,-2]=>[-2,1,4,-3]
[-3,4,-1,2]=>[2,-1,4,-3]
[-3,4,-1,-2]=>[-2,-1,4,-3]
[-3,-4,1,2]=>[2,1,-4,-3]
[-3,-4,1,-2]=>[-2,1,-4,-3]
[-3,-4,-1,2]=>[2,-1,-4,-3]
[-3,-4,-1,-2]=>[-2,-1,-4,-3]
[3,4,2,1]=>[1,2,4,3]
[3,4,2,-1]=>[-1,2,4,3]
[3,4,-2,1]=>[1,-2,4,3]
[3,4,-2,-1]=>[-1,-2,4,3]
[3,-4,2,1]=>[1,2,-4,3]
[3,-4,2,-1]=>[-1,2,-4,3]
[3,-4,-2,1]=>[1,-2,-4,3]
[3,-4,-2,-1]=>[-1,-2,-4,3]
[-3,4,2,1]=>[1,2,4,-3]
[-3,4,2,-1]=>[-1,2,4,-3]
[-3,4,-2,1]=>[1,-2,4,-3]
[-3,4,-2,-1]=>[-1,-2,4,-3]
[-3,-4,2,1]=>[1,2,-4,-3]
[-3,-4,2,-1]=>[-1,2,-4,-3]
[-3,-4,-2,1]=>[1,-2,-4,-3]
[-3,-4,-2,-1]=>[-1,-2,-4,-3]
[4,1,2,3]=>[3,2,1,4]
[4,1,2,-3]=>[-3,2,1,4]
[4,1,-2,3]=>[3,-2,1,4]
[4,1,-2,-3]=>[-3,-2,1,4]
[4,-1,2,3]=>[3,2,-1,4]
[4,-1,2,-3]=>[-3,2,-1,4]
[4,-1,-2,3]=>[3,-2,-1,4]
[4,-1,-2,-3]=>[-3,-2,-1,4]
[-4,1,2,3]=>[3,2,1,-4]
[-4,1,2,-3]=>[-3,2,1,-4]
[-4,1,-2,3]=>[3,-2,1,-4]
[-4,1,-2,-3]=>[-3,-2,1,-4]
[-4,-1,2,3]=>[3,2,-1,-4]
[-4,-1,2,-3]=>[-3,2,-1,-4]
[-4,-1,-2,3]=>[3,-2,-1,-4]
[-4,-1,-2,-3]=>[-3,-2,-1,-4]
[4,1,3,2]=>[2,3,1,4]
[4,1,3,-2]=>[-2,3,1,4]
[4,1,-3,2]=>[2,-3,1,4]
[4,1,-3,-2]=>[-2,-3,1,4]
[4,-1,3,2]=>[2,3,-1,4]
[4,-1,3,-2]=>[-2,3,-1,4]
[4,-1,-3,2]=>[2,-3,-1,4]
[4,-1,-3,-2]=>[-2,-3,-1,4]
[-4,1,3,2]=>[2,3,1,-4]
[-4,1,3,-2]=>[-2,3,1,-4]
[-4,1,-3,2]=>[2,-3,1,-4]
[-4,1,-3,-2]=>[-2,-3,1,-4]
[-4,-1,3,2]=>[2,3,-1,-4]
[-4,-1,3,-2]=>[-2,3,-1,-4]
[-4,-1,-3,2]=>[2,-3,-1,-4]
[-4,-1,-3,-2]=>[-2,-3,-1,-4]
[4,2,1,3]=>[3,1,2,4]
[4,2,1,-3]=>[-3,1,2,4]
[4,2,-1,3]=>[3,-1,2,4]
[4,2,-1,-3]=>[-3,-1,2,4]
[4,-2,1,3]=>[3,1,-2,4]
[4,-2,1,-3]=>[-3,1,-2,4]
[4,-2,-1,3]=>[3,-1,-2,4]
[4,-2,-1,-3]=>[-3,-1,-2,4]
[-4,2,1,3]=>[3,1,2,-4]
[-4,2,1,-3]=>[-3,1,2,-4]
[-4,2,-1,3]=>[3,-1,2,-4]
[-4,2,-1,-3]=>[-3,-1,2,-4]
[-4,-2,1,3]=>[3,1,-2,-4]
[-4,-2,1,-3]=>[-3,1,-2,-4]
[-4,-2,-1,3]=>[3,-1,-2,-4]
[-4,-2,-1,-3]=>[-3,-1,-2,-4]
[4,2,3,1]=>[1,3,2,4]
[4,2,3,-1]=>[-1,3,2,4]
[4,2,-3,1]=>[1,-3,2,4]
[4,2,-3,-1]=>[-1,-3,2,4]
[4,-2,3,1]=>[1,3,-2,4]
[4,-2,3,-1]=>[-1,3,-2,4]
[4,-2,-3,1]=>[1,-3,-2,4]
[4,-2,-3,-1]=>[-1,-3,-2,4]
[-4,2,3,1]=>[1,3,2,-4]
[-4,2,3,-1]=>[-1,3,2,-4]
[-4,2,-3,1]=>[1,-3,2,-4]
[-4,2,-3,-1]=>[-1,-3,2,-4]
[-4,-2,3,1]=>[1,3,-2,-4]
[-4,-2,3,-1]=>[-1,3,-2,-4]
[-4,-2,-3,1]=>[1,-3,-2,-4]
[-4,-2,-3,-1]=>[-1,-3,-2,-4]
[4,3,1,2]=>[2,1,3,4]
[4,3,1,-2]=>[-2,1,3,4]
[4,3,-1,2]=>[2,-1,3,4]
[4,3,-1,-2]=>[-2,-1,3,4]
[4,-3,1,2]=>[2,1,-3,4]
[4,-3,1,-2]=>[-2,1,-3,4]
[4,-3,-1,2]=>[2,-1,-3,4]
[4,-3,-1,-2]=>[-2,-1,-3,4]
[-4,3,1,2]=>[2,1,3,-4]
[-4,3,1,-2]=>[-2,1,3,-4]
[-4,3,-1,2]=>[2,-1,3,-4]
[-4,3,-1,-2]=>[-2,-1,3,-4]
[-4,-3,1,2]=>[2,1,-3,-4]
[-4,-3,1,-2]=>[-2,1,-3,-4]
[-4,-3,-1,2]=>[2,-1,-3,-4]
[-4,-3,-1,-2]=>[-2,-1,-3,-4]
[4,3,2,1]=>[1,2,3,4]
[4,3,2,-1]=>[-1,2,3,4]
[4,3,-2,1]=>[1,-2,3,4]
[4,3,-2,-1]=>[-1,-2,3,4]
[4,-3,2,1]=>[1,2,-3,4]
[4,-3,2,-1]=>[-1,2,-3,4]
[4,-3,-2,1]=>[1,-2,-3,4]
[4,-3,-2,-1]=>[-1,-2,-3,4]
[-4,3,2,1]=>[1,2,3,-4]
[-4,3,2,-1]=>[-1,2,3,-4]
[-4,3,-2,1]=>[1,-2,3,-4]
[-4,3,-2,-1]=>[-1,-2,3,-4]
[-4,-3,2,1]=>[1,2,-3,-4]
[-4,-3,2,-1]=>[-1,2,-3,-4]
[-4,-3,-2,1]=>[1,-2,-3,-4]
[-4,-3,-2,-1]=>[-1,-2,-3,-4]
[1,2,3,4,5]=>[5,4,3,2,1]
[1,2,3,4,-5]=>[-5,4,3,2,1]
[1,2,3,-4,5]=>[5,-4,3,2,1]
[1,2,3,-4,-5]=>[-5,-4,3,2,1]
[1,2,-3,4,5]=>[5,4,-3,2,1]
[1,2,-3,4,-5]=>[-5,4,-3,2,1]
[1,2,-3,-4,5]=>[5,-4,-3,2,1]
[1,2,-3,-4,-5]=>[-5,-4,-3,2,1]
[1,-2,3,4,5]=>[5,4,3,-2,1]
[1,-2,3,4,-5]=>[-5,4,3,-2,1]
[1,-2,3,-4,5]=>[5,-4,3,-2,1]
[1,-2,3,-4,-5]=>[-5,-4,3,-2,1]
[1,-2,-3,4,5]=>[5,4,-3,-2,1]
[1,-2,-3,4,-5]=>[-5,4,-3,-2,1]
[1,-2,-3,-4,5]=>[5,-4,-3,-2,1]
[1,-2,-3,-4,-5]=>[-5,-4,-3,-2,1]
[-1,2,3,4,5]=>[5,4,3,2,-1]
[-1,2,3,4,-5]=>[-5,4,3,2,-1]
[-1,2,3,-4,5]=>[5,-4,3,2,-1]
[-1,2,3,-4,-5]=>[-5,-4,3,2,-1]
[-1,2,-3,4,5]=>[5,4,-3,2,-1]
[-1,2,-3,4,-5]=>[-5,4,-3,2,-1]
[-1,2,-3,-4,5]=>[5,-4,-3,2,-1]
[-1,2,-3,-4,-5]=>[-5,-4,-3,2,-1]
[-1,-2,3,4,5]=>[5,4,3,-2,-1]
[-1,-2,3,4,-5]=>[-5,4,3,-2,-1]
[-1,-2,3,-4,5]=>[5,-4,3,-2,-1]
[-1,-2,3,-4,-5]=>[-5,-4,3,-2,-1]
[-1,-2,-3,4,5]=>[5,4,-3,-2,-1]
[-1,-2,-3,4,-5]=>[-5,4,-3,-2,-1]
[-1,-2,-3,-4,5]=>[5,-4,-3,-2,-1]
[-1,-2,-3,-4,-5]=>[-5,-4,-3,-2,-1]
[1,2,3,5,4]=>[4,5,3,2,1]
[1,2,3,5,-4]=>[-4,5,3,2,1]
[1,2,3,-5,4]=>[4,-5,3,2,1]
[1,2,3,-5,-4]=>[-4,-5,3,2,1]
[1,2,-3,5,4]=>[4,5,-3,2,1]
[1,2,-3,5,-4]=>[-4,5,-3,2,1]
[1,2,-3,-5,4]=>[4,-5,-3,2,1]
[1,2,-3,-5,-4]=>[-4,-5,-3,2,1]
[1,-2,3,5,4]=>[4,5,3,-2,1]
[1,-2,3,5,-4]=>[-4,5,3,-2,1]
[1,-2,3,-5,4]=>[4,-5,3,-2,1]
[1,-2,3,-5,-4]=>[-4,-5,3,-2,1]
[1,-2,-3,5,4]=>[4,5,-3,-2,1]
[1,-2,-3,5,-4]=>[-4,5,-3,-2,1]
[1,-2,-3,-5,4]=>[4,-5,-3,-2,1]
[1,-2,-3,-5,-4]=>[-4,-5,-3,-2,1]
[-1,2,3,5,4]=>[4,5,3,2,-1]
[-1,2,3,5,-4]=>[-4,5,3,2,-1]
[-1,2,3,-5,4]=>[4,-5,3,2,-1]
[-1,2,3,-5,-4]=>[-4,-5,3,2,-1]
[-1,2,-3,5,4]=>[4,5,-3,2,-1]
[-1,2,-3,5,-4]=>[-4,5,-3,2,-1]
[-1,2,-3,-5,4]=>[4,-5,-3,2,-1]
[-1,2,-3,-5,-4]=>[-4,-5,-3,2,-1]
[-1,-2,3,5,4]=>[4,5,3,-2,-1]
[-1,-2,3,5,-4]=>[-4,5,3,-2,-1]
[-1,-2,3,-5,4]=>[4,-5,3,-2,-1]
[-1,-2,3,-5,-4]=>[-4,-5,3,-2,-1]
[-1,-2,-3,5,4]=>[4,5,-3,-2,-1]
[-1,-2,-3,5,-4]=>[-4,5,-3,-2,-1]
[-1,-2,-3,-5,4]=>[4,-5,-3,-2,-1]
[-1,-2,-3,-5,-4]=>[-4,-5,-3,-2,-1]
[1,2,4,3,5]=>[5,3,4,2,1]
[1,2,4,3,-5]=>[-5,3,4,2,1]
[1,2,4,-3,5]=>[5,-3,4,2,1]
[1,2,4,-3,-5]=>[-5,-3,4,2,1]
[1,2,-4,3,5]=>[5,3,-4,2,1]
[1,2,-4,3,-5]=>[-5,3,-4,2,1]
[1,2,-4,-3,5]=>[5,-3,-4,2,1]
[1,2,-4,-3,-5]=>[-5,-3,-4,2,1]
[1,-2,4,3,5]=>[5,3,4,-2,1]
[1,-2,4,3,-5]=>[-5,3,4,-2,1]
[1,-2,4,-3,5]=>[5,-3,4,-2,1]
[1,-2,4,-3,-5]=>[-5,-3,4,-2,1]
[1,-2,-4,3,5]=>[5,3,-4,-2,1]
[1,-2,-4,3,-5]=>[-5,3,-4,-2,1]
[1,-2,-4,-3,5]=>[5,-3,-4,-2,1]
[1,-2,-4,-3,-5]=>[-5,-3,-4,-2,1]
[-1,2,4,3,5]=>[5,3,4,2,-1]
[-1,2,4,3,-5]=>[-5,3,4,2,-1]
[-1,2,4,-3,5]=>[5,-3,4,2,-1]
[-1,2,4,-3,-5]=>[-5,-3,4,2,-1]
[-1,2,-4,3,5]=>[5,3,-4,2,-1]
[-1,2,-4,3,-5]=>[-5,3,-4,2,-1]
[-1,2,-4,-3,5]=>[5,-3,-4,2,-1]
[-1,2,-4,-3,-5]=>[-5,-3,-4,2,-1]
[-1,-2,4,3,5]=>[5,3,4,-2,-1]
[-1,-2,4,3,-5]=>[-5,3,4,-2,-1]
[-1,-2,4,-3,5]=>[5,-3,4,-2,-1]
[-1,-2,4,-3,-5]=>[-5,-3,4,-2,-1]
[-1,-2,-4,3,5]=>[5,3,-4,-2,-1]
[-1,-2,-4,3,-5]=>[-5,3,-4,-2,-1]
[-1,-2,-4,-3,5]=>[5,-3,-4,-2,-1]
[-1,-2,-4,-3,-5]=>[-5,-3,-4,-2,-1]
[1,2,4,5,3]=>[3,5,4,2,1]
[1,2,4,5,-3]=>[-3,5,4,2,1]
[1,2,4,-5,3]=>[3,-5,4,2,1]
[1,2,4,-5,-3]=>[-3,-5,4,2,1]
[1,2,-4,5,3]=>[3,5,-4,2,1]
[1,2,-4,5,-3]=>[-3,5,-4,2,1]
[1,2,-4,-5,3]=>[3,-5,-4,2,1]
[1,2,-4,-5,-3]=>[-3,-5,-4,2,1]
[1,-2,4,5,3]=>[3,5,4,-2,1]
[1,-2,4,5,-3]=>[-3,5,4,-2,1]
[1,-2,4,-5,3]=>[3,-5,4,-2,1]
[1,-2,4,-5,-3]=>[-3,-5,4,-2,1]
[1,-2,-4,5,3]=>[3,5,-4,-2,1]
[1,-2,-4,5,-3]=>[-3,5,-4,-2,1]
[1,-2,-4,-5,3]=>[3,-5,-4,-2,1]
[1,-2,-4,-5,-3]=>[-3,-5,-4,-2,1]
[-1,2,4,5,3]=>[3,5,4,2,-1]
[-1,2,4,5,-3]=>[-3,5,4,2,-1]
[-1,2,4,-5,3]=>[3,-5,4,2,-1]
[-1,2,4,-5,-3]=>[-3,-5,4,2,-1]
[-1,2,-4,5,3]=>[3,5,-4,2,-1]
[-1,2,-4,5,-3]=>[-3,5,-4,2,-1]
[-1,2,-4,-5,3]=>[3,-5,-4,2,-1]
[-1,2,-4,-5,-3]=>[-3,-5,-4,2,-1]
[-1,-2,4,5,3]=>[3,5,4,-2,-1]
[-1,-2,4,5,-3]=>[-3,5,4,-2,-1]
[-1,-2,4,-5,3]=>[3,-5,4,-2,-1]
[-1,-2,4,-5,-3]=>[-3,-5,4,-2,-1]
[-1,-2,-4,5,3]=>[3,5,-4,-2,-1]
[-1,-2,-4,5,-3]=>[-3,5,-4,-2,-1]
[-1,-2,-4,-5,3]=>[3,-5,-4,-2,-1]
[-1,-2,-4,-5,-3]=>[-3,-5,-4,-2,-1]
[1,2,5,3,4]=>[4,3,5,2,1]
[1,2,5,3,-4]=>[-4,3,5,2,1]
[1,2,5,-3,4]=>[4,-3,5,2,1]
[1,2,5,-3,-4]=>[-4,-3,5,2,1]
[1,2,-5,3,4]=>[4,3,-5,2,1]
[1,2,-5,3,-4]=>[-4,3,-5,2,1]
[1,2,-5,-3,4]=>[4,-3,-5,2,1]
[1,2,-5,-3,-4]=>[-4,-3,-5,2,1]
[1,-2,5,3,4]=>[4,3,5,-2,1]
[1,-2,5,3,-4]=>[-4,3,5,-2,1]
[1,-2,5,-3,4]=>[4,-3,5,-2,1]
[1,-2,5,-3,-4]=>[-4,-3,5,-2,1]
[1,-2,-5,3,4]=>[4,3,-5,-2,1]
[1,-2,-5,3,-4]=>[-4,3,-5,-2,1]
[1,-2,-5,-3,4]=>[4,-3,-5,-2,1]
[1,-2,-5,-3,-4]=>[-4,-3,-5,-2,1]
[-1,2,5,3,4]=>[4,3,5,2,-1]
[-1,2,5,3,-4]=>[-4,3,5,2,-1]
[-1,2,5,-3,4]=>[4,-3,5,2,-1]
[-1,2,5,-3,-4]=>[-4,-3,5,2,-1]
[-1,2,-5,3,4]=>[4,3,-5,2,-1]
[-1,2,-5,3,-4]=>[-4,3,-5,2,-1]
[-1,2,-5,-3,4]=>[4,-3,-5,2,-1]
[-1,2,-5,-3,-4]=>[-4,-3,-5,2,-1]
[-1,-2,5,3,4]=>[4,3,5,-2,-1]
[-1,-2,5,3,-4]=>[-4,3,5,-2,-1]
[-1,-2,5,-3,4]=>[4,-3,5,-2,-1]
[-1,-2,5,-3,-4]=>[-4,-3,5,-2,-1]
[-1,-2,-5,3,4]=>[4,3,-5,-2,-1]
[-1,-2,-5,3,-4]=>[-4,3,-5,-2,-1]
[-1,-2,-5,-3,4]=>[4,-3,-5,-2,-1]
[-1,-2,-5,-3,-4]=>[-4,-3,-5,-2,-1]
[1,2,5,4,3]=>[3,4,5,2,1]
[1,2,5,4,-3]=>[-3,4,5,2,1]
[1,2,5,-4,3]=>[3,-4,5,2,1]
[1,2,5,-4,-3]=>[-3,-4,5,2,1]
[1,2,-5,4,3]=>[3,4,-5,2,1]
[1,2,-5,4,-3]=>[-3,4,-5,2,1]
[1,2,-5,-4,3]=>[3,-4,-5,2,1]
[1,2,-5,-4,-3]=>[-3,-4,-5,2,1]
[1,-2,5,4,3]=>[3,4,5,-2,1]
[1,-2,5,4,-3]=>[-3,4,5,-2,1]
[1,-2,5,-4,3]=>[3,-4,5,-2,1]
[1,-2,5,-4,-3]=>[-3,-4,5,-2,1]
[1,-2,-5,4,3]=>[3,4,-5,-2,1]
[1,-2,-5,4,-3]=>[-3,4,-5,-2,1]
[1,-2,-5,-4,3]=>[3,-4,-5,-2,1]
[1,-2,-5,-4,-3]=>[-3,-4,-5,-2,1]
[-1,2,5,4,3]=>[3,4,5,2,-1]
[-1,2,5,4,-3]=>[-3,4,5,2,-1]
[-1,2,5,-4,3]=>[3,-4,5,2,-1]
[-1,2,5,-4,-3]=>[-3,-4,5,2,-1]
[-1,2,-5,4,3]=>[3,4,-5,2,-1]
[-1,2,-5,4,-3]=>[-3,4,-5,2,-1]
[-1,2,-5,-4,3]=>[3,-4,-5,2,-1]
[-1,2,-5,-4,-3]=>[-3,-4,-5,2,-1]
[-1,-2,5,4,3]=>[3,4,5,-2,-1]
[-1,-2,5,4,-3]=>[-3,4,5,-2,-1]
[-1,-2,5,-4,3]=>[3,-4,5,-2,-1]
[-1,-2,5,-4,-3]=>[-3,-4,5,-2,-1]
[-1,-2,-5,4,3]=>[3,4,-5,-2,-1]
[-1,-2,-5,4,-3]=>[-3,4,-5,-2,-1]
[-1,-2,-5,-4,3]=>[3,-4,-5,-2,-1]
[-1,-2,-5,-4,-3]=>[-3,-4,-5,-2,-1]
[1,3,2,4,5]=>[5,4,2,3,1]
[1,3,2,4,-5]=>[-5,4,2,3,1]
[1,3,2,-4,5]=>[5,-4,2,3,1]
[1,3,2,-4,-5]=>[-5,-4,2,3,1]
[1,3,-2,4,5]=>[5,4,-2,3,1]
[1,3,-2,4,-5]=>[-5,4,-2,3,1]
[1,3,-2,-4,5]=>[5,-4,-2,3,1]
[1,3,-2,-4,-5]=>[-5,-4,-2,3,1]
[1,-3,2,4,5]=>[5,4,2,-3,1]
[1,-3,2,4,-5]=>[-5,4,2,-3,1]
[1,-3,2,-4,5]=>[5,-4,2,-3,1]
[1,-3,2,-4,-5]=>[-5,-4,2,-3,1]
[1,-3,-2,4,5]=>[5,4,-2,-3,1]
[1,-3,-2,4,-5]=>[-5,4,-2,-3,1]
[1,-3,-2,-4,5]=>[5,-4,-2,-3,1]
[1,-3,-2,-4,-5]=>[-5,-4,-2,-3,1]
[-1,3,2,4,5]=>[5,4,2,3,-1]
[-1,3,2,4,-5]=>[-5,4,2,3,-1]
[-1,3,2,-4,5]=>[5,-4,2,3,-1]
[-1,3,2,-4,-5]=>[-5,-4,2,3,-1]
[-1,3,-2,4,5]=>[5,4,-2,3,-1]
[-1,3,-2,4,-5]=>[-5,4,-2,3,-1]
[-1,3,-2,-4,5]=>[5,-4,-2,3,-1]
[-1,3,-2,-4,-5]=>[-5,-4,-2,3,-1]
[-1,-3,2,4,5]=>[5,4,2,-3,-1]
[-1,-3,2,4,-5]=>[-5,4,2,-3,-1]
[-1,-3,2,-4,5]=>[5,-4,2,-3,-1]
[-1,-3,2,-4,-5]=>[-5,-4,2,-3,-1]
[-1,-3,-2,4,5]=>[5,4,-2,-3,-1]
[-1,-3,-2,4,-5]=>[-5,4,-2,-3,-1]
[-1,-3,-2,-4,5]=>[5,-4,-2,-3,-1]
[-1,-3,-2,-4,-5]=>[-5,-4,-2,-3,-1]
[1,3,2,5,4]=>[4,5,2,3,1]
[1,3,2,5,-4]=>[-4,5,2,3,1]
[1,3,2,-5,4]=>[4,-5,2,3,1]
[1,3,2,-5,-4]=>[-4,-5,2,3,1]
[1,3,-2,5,4]=>[4,5,-2,3,1]
[1,3,-2,5,-4]=>[-4,5,-2,3,1]
[1,3,-2,-5,4]=>[4,-5,-2,3,1]
[1,3,-2,-5,-4]=>[-4,-5,-2,3,1]
[1,-3,2,5,4]=>[4,5,2,-3,1]
[1,-3,2,5,-4]=>[-4,5,2,-3,1]
[1,-3,2,-5,4]=>[4,-5,2,-3,1]
[1,-3,2,-5,-4]=>[-4,-5,2,-3,1]
[1,-3,-2,5,4]=>[4,5,-2,-3,1]
[1,-3,-2,5,-4]=>[-4,5,-2,-3,1]
[1,-3,-2,-5,4]=>[4,-5,-2,-3,1]
[1,-3,-2,-5,-4]=>[-4,-5,-2,-3,1]
[-1,3,2,5,4]=>[4,5,2,3,-1]
[-1,3,2,5,-4]=>[-4,5,2,3,-1]
[-1,3,2,-5,4]=>[4,-5,2,3,-1]
[-1,3,2,-5,-4]=>[-4,-5,2,3,-1]
[-1,3,-2,5,4]=>[4,5,-2,3,-1]
[-1,3,-2,5,-4]=>[-4,5,-2,3,-1]
[-1,3,-2,-5,4]=>[4,-5,-2,3,-1]
[-1,3,-2,-5,-4]=>[-4,-5,-2,3,-1]
[-1,-3,2,5,4]=>[4,5,2,-3,-1]
[-1,-3,2,5,-4]=>[-4,5,2,-3,-1]
[-1,-3,2,-5,4]=>[4,-5,2,-3,-1]
[-1,-3,2,-5,-4]=>[-4,-5,2,-3,-1]
[-1,-3,-2,5,4]=>[4,5,-2,-3,-1]
[-1,-3,-2,5,-4]=>[-4,5,-2,-3,-1]
[-1,-3,-2,-5,4]=>[4,-5,-2,-3,-1]
[-1,-3,-2,-5,-4]=>[-4,-5,-2,-3,-1]
[1,3,4,2,5]=>[5,2,4,3,1]
[1,3,4,2,-5]=>[-5,2,4,3,1]
[1,3,4,-2,5]=>[5,-2,4,3,1]
[1,3,4,-2,-5]=>[-5,-2,4,3,1]
[1,3,-4,2,5]=>[5,2,-4,3,1]
[1,3,-4,2,-5]=>[-5,2,-4,3,1]
[1,3,-4,-2,5]=>[5,-2,-4,3,1]
[1,3,-4,-2,-5]=>[-5,-2,-4,3,1]
[1,-3,4,2,5]=>[5,2,4,-3,1]
[1,-3,4,2,-5]=>[-5,2,4,-3,1]
[1,-3,4,-2,5]=>[5,-2,4,-3,1]
[1,-3,4,-2,-5]=>[-5,-2,4,-3,1]
[1,-3,-4,2,5]=>[5,2,-4,-3,1]
[1,-3,-4,2,-5]=>[-5,2,-4,-3,1]
[1,-3,-4,-2,5]=>[5,-2,-4,-3,1]
[1,-3,-4,-2,-5]=>[-5,-2,-4,-3,1]
[-1,3,4,2,5]=>[5,2,4,3,-1]
[-1,3,4,2,-5]=>[-5,2,4,3,-1]
[-1,3,4,-2,5]=>[5,-2,4,3,-1]
[-1,3,4,-2,-5]=>[-5,-2,4,3,-1]
[-1,3,-4,2,5]=>[5,2,-4,3,-1]
[-1,3,-4,2,-5]=>[-5,2,-4,3,-1]
[-1,3,-4,-2,5]=>[5,-2,-4,3,-1]
[-1,3,-4,-2,-5]=>[-5,-2,-4,3,-1]
[-1,-3,4,2,5]=>[5,2,4,-3,-1]
[-1,-3,4,2,-5]=>[-5,2,4,-3,-1]
[-1,-3,4,-2,5]=>[5,-2,4,-3,-1]
[-1,-3,4,-2,-5]=>[-5,-2,4,-3,-1]
[-1,-3,-4,2,5]=>[5,2,-4,-3,-1]
[-1,-3,-4,2,-5]=>[-5,2,-4,-3,-1]
[-1,-3,-4,-2,5]=>[5,-2,-4,-3,-1]
[-1,-3,-4,-2,-5]=>[-5,-2,-4,-3,-1]
[1,3,4,5,2]=>[2,5,4,3,1]
[1,3,4,5,-2]=>[-2,5,4,3,1]
[1,3,4,-5,2]=>[2,-5,4,3,1]
[1,3,4,-5,-2]=>[-2,-5,4,3,1]
[1,3,-4,5,2]=>[2,5,-4,3,1]
[1,3,-4,5,-2]=>[-2,5,-4,3,1]
[1,3,-4,-5,2]=>[2,-5,-4,3,1]
[1,3,-4,-5,-2]=>[-2,-5,-4,3,1]
[1,-3,4,5,2]=>[2,5,4,-3,1]
[1,-3,4,5,-2]=>[-2,5,4,-3,1]
[1,-3,4,-5,2]=>[2,-5,4,-3,1]
[1,-3,4,-5,-2]=>[-2,-5,4,-3,1]
[1,-3,-4,5,2]=>[2,5,-4,-3,1]
[1,-3,-4,5,-2]=>[-2,5,-4,-3,1]
[1,-3,-4,-5,2]=>[2,-5,-4,-3,1]
[1,-3,-4,-5,-2]=>[-2,-5,-4,-3,1]
[-1,3,4,5,2]=>[2,5,4,3,-1]
[-1,3,4,5,-2]=>[-2,5,4,3,-1]
[-1,3,4,-5,2]=>[2,-5,4,3,-1]
[-1,3,4,-5,-2]=>[-2,-5,4,3,-1]
[-1,3,-4,5,2]=>[2,5,-4,3,-1]
[-1,3,-4,5,-2]=>[-2,5,-4,3,-1]
[-1,3,-4,-5,2]=>[2,-5,-4,3,-1]
[-1,3,-4,-5,-2]=>[-2,-5,-4,3,-1]
[-1,-3,4,5,2]=>[2,5,4,-3,-1]
[-1,-3,4,5,-2]=>[-2,5,4,-3,-1]
[-1,-3,4,-5,2]=>[2,-5,4,-3,-1]
[-1,-3,4,-5,-2]=>[-2,-5,4,-3,-1]
[-1,-3,-4,5,2]=>[2,5,-4,-3,-1]
[-1,-3,-4,5,-2]=>[-2,5,-4,-3,-1]
[-1,-3,-4,-5,2]=>[2,-5,-4,-3,-1]
[-1,-3,-4,-5,-2]=>[-2,-5,-4,-3,-1]
[1,3,5,2,4]=>[4,2,5,3,1]
[1,3,5,2,-4]=>[-4,2,5,3,1]
[1,3,5,-2,4]=>[4,-2,5,3,1]
[1,3,5,-2,-4]=>[-4,-2,5,3,1]
[1,3,-5,2,4]=>[4,2,-5,3,1]
[1,3,-5,2,-4]=>[-4,2,-5,3,1]
[1,3,-5,-2,4]=>[4,-2,-5,3,1]
[1,3,-5,-2,-4]=>[-4,-2,-5,3,1]
[1,-3,5,2,4]=>[4,2,5,-3,1]
[1,-3,5,2,-4]=>[-4,2,5,-3,1]
[1,-3,5,-2,4]=>[4,-2,5,-3,1]
[1,-3,5,-2,-4]=>[-4,-2,5,-3,1]
[1,-3,-5,2,4]=>[4,2,-5,-3,1]
[1,-3,-5,2,-4]=>[-4,2,-5,-3,1]
[1,-3,-5,-2,4]=>[4,-2,-5,-3,1]
[1,-3,-5,-2,-4]=>[-4,-2,-5,-3,1]
[-1,3,5,2,4]=>[4,2,5,3,-1]
[-1,3,5,2,-4]=>[-4,2,5,3,-1]
[-1,3,5,-2,4]=>[4,-2,5,3,-1]
[-1,3,5,-2,-4]=>[-4,-2,5,3,-1]
[-1,3,-5,2,4]=>[4,2,-5,3,-1]
[-1,3,-5,2,-4]=>[-4,2,-5,3,-1]
[-1,3,-5,-2,4]=>[4,-2,-5,3,-1]
[-1,3,-5,-2,-4]=>[-4,-2,-5,3,-1]
[-1,-3,5,2,4]=>[4,2,5,-3,-1]
[-1,-3,5,2,-4]=>[-4,2,5,-3,-1]
[-1,-3,5,-2,4]=>[4,-2,5,-3,-1]
[-1,-3,5,-2,-4]=>[-4,-2,5,-3,-1]
[-1,-3,-5,2,4]=>[4,2,-5,-3,-1]
[-1,-3,-5,2,-4]=>[-4,2,-5,-3,-1]
[-1,-3,-5,-2,4]=>[4,-2,-5,-3,-1]
[-1,-3,-5,-2,-4]=>[-4,-2,-5,-3,-1]
[1,3,5,4,2]=>[2,4,5,3,1]
[1,3,5,4,-2]=>[-2,4,5,3,1]
[1,3,5,-4,2]=>[2,-4,5,3,1]
[1,3,5,-4,-2]=>[-2,-4,5,3,1]
[1,3,-5,4,2]=>[2,4,-5,3,1]
[1,3,-5,4,-2]=>[-2,4,-5,3,1]
[1,3,-5,-4,2]=>[2,-4,-5,3,1]
[1,3,-5,-4,-2]=>[-2,-4,-5,3,1]
[1,-3,5,4,2]=>[2,4,5,-3,1]
[1,-3,5,4,-2]=>[-2,4,5,-3,1]
[1,-3,5,-4,2]=>[2,-4,5,-3,1]
[1,-3,5,-4,-2]=>[-2,-4,5,-3,1]
[1,-3,-5,4,2]=>[2,4,-5,-3,1]
[1,-3,-5,4,-2]=>[-2,4,-5,-3,1]
[1,-3,-5,-4,2]=>[2,-4,-5,-3,1]
[1,-3,-5,-4,-2]=>[-2,-4,-5,-3,1]
[-1,3,5,4,2]=>[2,4,5,3,-1]
[-1,3,5,4,-2]=>[-2,4,5,3,-1]
[-1,3,5,-4,2]=>[2,-4,5,3,-1]
[-1,3,5,-4,-2]=>[-2,-4,5,3,-1]
[-1,3,-5,4,2]=>[2,4,-5,3,-1]
[-1,3,-5,4,-2]=>[-2,4,-5,3,-1]
[-1,3,-5,-4,2]=>[2,-4,-5,3,-1]
[-1,3,-5,-4,-2]=>[-2,-4,-5,3,-1]
[-1,-3,5,4,2]=>[2,4,5,-3,-1]
[-1,-3,5,4,-2]=>[-2,4,5,-3,-1]
[-1,-3,5,-4,2]=>[2,-4,5,-3,-1]
[-1,-3,5,-4,-2]=>[-2,-4,5,-3,-1]
[-1,-3,-5,4,2]=>[2,4,-5,-3,-1]
[-1,-3,-5,4,-2]=>[-2,4,-5,-3,-1]
[-1,-3,-5,-4,2]=>[2,-4,-5,-3,-1]
[-1,-3,-5,-4,-2]=>[-2,-4,-5,-3,-1]
[1,4,2,3,5]=>[5,3,2,4,1]
[1,4,2,3,-5]=>[-5,3,2,4,1]
[1,4,2,-3,5]=>[5,-3,2,4,1]
[1,4,2,-3,-5]=>[-5,-3,2,4,1]
[1,4,-2,3,5]=>[5,3,-2,4,1]
[1,4,-2,3,-5]=>[-5,3,-2,4,1]
[1,4,-2,-3,5]=>[5,-3,-2,4,1]
[1,4,-2,-3,-5]=>[-5,-3,-2,4,1]
[1,-4,2,3,5]=>[5,3,2,-4,1]
[1,-4,2,3,-5]=>[-5,3,2,-4,1]
[1,-4,2,-3,5]=>[5,-3,2,-4,1]
[1,-4,2,-3,-5]=>[-5,-3,2,-4,1]
[1,-4,-2,3,5]=>[5,3,-2,-4,1]
[1,-4,-2,3,-5]=>[-5,3,-2,-4,1]
[1,-4,-2,-3,5]=>[5,-3,-2,-4,1]
[1,-4,-2,-3,-5]=>[-5,-3,-2,-4,1]
[-1,4,2,3,5]=>[5,3,2,4,-1]
[-1,4,2,3,-5]=>[-5,3,2,4,-1]
[-1,4,2,-3,5]=>[5,-3,2,4,-1]
[-1,4,2,-3,-5]=>[-5,-3,2,4,-1]
[-1,4,-2,3,5]=>[5,3,-2,4,-1]
[-1,4,-2,3,-5]=>[-5,3,-2,4,-1]
[-1,4,-2,-3,5]=>[5,-3,-2,4,-1]
[-1,4,-2,-3,-5]=>[-5,-3,-2,4,-1]
[-1,-4,2,3,5]=>[5,3,2,-4,-1]
[-1,-4,2,3,-5]=>[-5,3,2,-4,-1]
[-1,-4,2,-3,5]=>[5,-3,2,-4,-1]
[-1,-4,2,-3,-5]=>[-5,-3,2,-4,-1]
[-1,-4,-2,3,5]=>[5,3,-2,-4,-1]
[-1,-4,-2,3,-5]=>[-5,3,-2,-4,-1]
[-1,-4,-2,-3,5]=>[5,-3,-2,-4,-1]
[-1,-4,-2,-3,-5]=>[-5,-3,-2,-4,-1]
[1,4,2,5,3]=>[3,5,2,4,1]
[1,4,2,5,-3]=>[-3,5,2,4,1]
[1,4,2,-5,3]=>[3,-5,2,4,1]
[1,4,2,-5,-3]=>[-3,-5,2,4,1]
[1,4,-2,5,3]=>[3,5,-2,4,1]
[1,4,-2,5,-3]=>[-3,5,-2,4,1]
[1,4,-2,-5,3]=>[3,-5,-2,4,1]
[1,4,-2,-5,-3]=>[-3,-5,-2,4,1]
[1,-4,2,5,3]=>[3,5,2,-4,1]
[1,-4,2,5,-3]=>[-3,5,2,-4,1]
[1,-4,2,-5,3]=>[3,-5,2,-4,1]
[1,-4,2,-5,-3]=>[-3,-5,2,-4,1]
[1,-4,-2,5,3]=>[3,5,-2,-4,1]
[1,-4,-2,5,-3]=>[-3,5,-2,-4,1]
[1,-4,-2,-5,3]=>[3,-5,-2,-4,1]
[1,-4,-2,-5,-3]=>[-3,-5,-2,-4,1]
[-1,4,2,5,3]=>[3,5,2,4,-1]
[-1,4,2,5,-3]=>[-3,5,2,4,-1]
[-1,4,2,-5,3]=>[3,-5,2,4,-1]
[-1,4,2,-5,-3]=>[-3,-5,2,4,-1]
[-1,4,-2,5,3]=>[3,5,-2,4,-1]
[-1,4,-2,5,-3]=>[-3,5,-2,4,-1]
[-1,4,-2,-5,3]=>[3,-5,-2,4,-1]
[-1,4,-2,-5,-3]=>[-3,-5,-2,4,-1]
[-1,-4,2,5,3]=>[3,5,2,-4,-1]
[-1,-4,2,5,-3]=>[-3,5,2,-4,-1]
[-1,-4,2,-5,3]=>[3,-5,2,-4,-1]
[-1,-4,2,-5,-3]=>[-3,-5,2,-4,-1]
[-1,-4,-2,5,3]=>[3,5,-2,-4,-1]
[-1,-4,-2,5,-3]=>[-3,5,-2,-4,-1]
[-1,-4,-2,-5,3]=>[3,-5,-2,-4,-1]
[-1,-4,-2,-5,-3]=>[-3,-5,-2,-4,-1]
[1,4,3,2,5]=>[5,2,3,4,1]
[1,4,3,2,-5]=>[-5,2,3,4,1]
[1,4,3,-2,5]=>[5,-2,3,4,1]
[1,4,3,-2,-5]=>[-5,-2,3,4,1]
[1,4,-3,2,5]=>[5,2,-3,4,1]
[1,4,-3,2,-5]=>[-5,2,-3,4,1]
[1,4,-3,-2,5]=>[5,-2,-3,4,1]
[1,4,-3,-2,-5]=>[-5,-2,-3,4,1]
[1,-4,3,2,5]=>[5,2,3,-4,1]
[1,-4,3,2,-5]=>[-5,2,3,-4,1]
[1,-4,3,-2,5]=>[5,-2,3,-4,1]
[1,-4,3,-2,-5]=>[-5,-2,3,-4,1]
[1,-4,-3,2,5]=>[5,2,-3,-4,1]
[1,-4,-3,2,-5]=>[-5,2,-3,-4,1]
[1,-4,-3,-2,5]=>[5,-2,-3,-4,1]
[1,-4,-3,-2,-5]=>[-5,-2,-3,-4,1]
[-1,4,3,2,5]=>[5,2,3,4,-1]
[-1,4,3,2,-5]=>[-5,2,3,4,-1]
[-1,4,3,-2,5]=>[5,-2,3,4,-1]
[-1,4,3,-2,-5]=>[-5,-2,3,4,-1]
[-1,4,-3,2,5]=>[5,2,-3,4,-1]
[-1,4,-3,2,-5]=>[-5,2,-3,4,-1]
[-1,4,-3,-2,5]=>[5,-2,-3,4,-1]
[-1,4,-3,-2,-5]=>[-5,-2,-3,4,-1]
[-1,-4,3,2,5]=>[5,2,3,-4,-1]
[-1,-4,3,2,-5]=>[-5,2,3,-4,-1]
[-1,-4,3,-2,5]=>[5,-2,3,-4,-1]
[-1,-4,3,-2,-5]=>[-5,-2,3,-4,-1]
[-1,-4,-3,2,5]=>[5,2,-3,-4,-1]
[-1,-4,-3,2,-5]=>[-5,2,-3,-4,-1]
[-1,-4,-3,-2,5]=>[5,-2,-3,-4,-1]
[-1,-4,-3,-2,-5]=>[-5,-2,-3,-4,-1]
[1,4,3,5,2]=>[2,5,3,4,1]
[1,4,3,5,-2]=>[-2,5,3,4,1]
[1,4,3,-5,2]=>[2,-5,3,4,1]
[1,4,3,-5,-2]=>[-2,-5,3,4,1]
[1,4,-3,5,2]=>[2,5,-3,4,1]
[1,4,-3,5,-2]=>[-2,5,-3,4,1]
[1,4,-3,-5,2]=>[2,-5,-3,4,1]
[1,4,-3,-5,-2]=>[-2,-5,-3,4,1]
[1,-4,3,5,2]=>[2,5,3,-4,1]
[1,-4,3,5,-2]=>[-2,5,3,-4,1]
[1,-4,3,-5,2]=>[2,-5,3,-4,1]
[1,-4,3,-5,-2]=>[-2,-5,3,-4,1]
[1,-4,-3,5,2]=>[2,5,-3,-4,1]
[1,-4,-3,5,-2]=>[-2,5,-3,-4,1]
[1,-4,-3,-5,2]=>[2,-5,-3,-4,1]
[1,-4,-3,-5,-2]=>[-2,-5,-3,-4,1]
[-1,4,3,5,2]=>[2,5,3,4,-1]
[-1,4,3,5,-2]=>[-2,5,3,4,-1]
[-1,4,3,-5,2]=>[2,-5,3,4,-1]
[-1,4,3,-5,-2]=>[-2,-5,3,4,-1]
[-1,4,-3,5,2]=>[2,5,-3,4,-1]
[-1,4,-3,5,-2]=>[-2,5,-3,4,-1]
[-1,4,-3,-5,2]=>[2,-5,-3,4,-1]
[-1,4,-3,-5,-2]=>[-2,-5,-3,4,-1]
[-1,-4,3,5,2]=>[2,5,3,-4,-1]
[-1,-4,3,5,-2]=>[-2,5,3,-4,-1]
[-1,-4,3,-5,2]=>[2,-5,3,-4,-1]
[-1,-4,3,-5,-2]=>[-2,-5,3,-4,-1]
[-1,-4,-3,5,2]=>[2,5,-3,-4,-1]
[-1,-4,-3,5,-2]=>[-2,5,-3,-4,-1]
[-1,-4,-3,-5,2]=>[2,-5,-3,-4,-1]
[-1,-4,-3,-5,-2]=>[-2,-5,-3,-4,-1]
[1,4,5,2,3]=>[3,2,5,4,1]
[1,4,5,2,-3]=>[-3,2,5,4,1]
[1,4,5,-2,3]=>[3,-2,5,4,1]
[1,4,5,-2,-3]=>[-3,-2,5,4,1]
[1,4,-5,2,3]=>[3,2,-5,4,1]
[1,4,-5,2,-3]=>[-3,2,-5,4,1]
[1,4,-5,-2,3]=>[3,-2,-5,4,1]
[1,4,-5,-2,-3]=>[-3,-2,-5,4,1]
[1,-4,5,2,3]=>[3,2,5,-4,1]
[1,-4,5,2,-3]=>[-3,2,5,-4,1]
[1,-4,5,-2,3]=>[3,-2,5,-4,1]
[1,-4,5,-2,-3]=>[-3,-2,5,-4,1]
[1,-4,-5,2,3]=>[3,2,-5,-4,1]
[1,-4,-5,2,-3]=>[-3,2,-5,-4,1]
[1,-4,-5,-2,3]=>[3,-2,-5,-4,1]
[1,-4,-5,-2,-3]=>[-3,-2,-5,-4,1]
[-1,4,5,2,3]=>[3,2,5,4,-1]
[-1,4,5,2,-3]=>[-3,2,5,4,-1]
[-1,4,5,-2,3]=>[3,-2,5,4,-1]
[-1,4,5,-2,-3]=>[-3,-2,5,4,-1]
[-1,4,-5,2,3]=>[3,2,-5,4,-1]
[-1,4,-5,2,-3]=>[-3,2,-5,4,-1]
[-1,4,-5,-2,3]=>[3,-2,-5,4,-1]
[-1,4,-5,-2,-3]=>[-3,-2,-5,4,-1]
[-1,-4,5,2,3]=>[3,2,5,-4,-1]
[-1,-4,5,2,-3]=>[-3,2,5,-4,-1]
[-1,-4,5,-2,3]=>[3,-2,5,-4,-1]
[-1,-4,5,-2,-3]=>[-3,-2,5,-4,-1]
[-1,-4,-5,2,3]=>[3,2,-5,-4,-1]
[-1,-4,-5,2,-3]=>[-3,2,-5,-4,-1]
[-1,-4,-5,-2,3]=>[3,-2,-5,-4,-1]
[-1,-4,-5,-2,-3]=>[-3,-2,-5,-4,-1]
[1,4,5,3,2]=>[2,3,5,4,1]
[1,4,5,3,-2]=>[-2,3,5,4,1]
[1,4,5,-3,2]=>[2,-3,5,4,1]
[1,4,5,-3,-2]=>[-2,-3,5,4,1]
[1,4,-5,3,2]=>[2,3,-5,4,1]
[1,4,-5,3,-2]=>[-2,3,-5,4,1]
[1,4,-5,-3,2]=>[2,-3,-5,4,1]
[1,4,-5,-3,-2]=>[-2,-3,-5,4,1]
[1,-4,5,3,2]=>[2,3,5,-4,1]
[1,-4,5,3,-2]=>[-2,3,5,-4,1]
[1,-4,5,-3,2]=>[2,-3,5,-4,1]
[1,-4,5,-3,-2]=>[-2,-3,5,-4,1]
[1,-4,-5,3,2]=>[2,3,-5,-4,1]
[1,-4,-5,3,-2]=>[-2,3,-5,-4,1]
[1,-4,-5,-3,2]=>[2,-3,-5,-4,1]
[1,-4,-5,-3,-2]=>[-2,-3,-5,-4,1]
[-1,4,5,3,2]=>[2,3,5,4,-1]
[-1,4,5,3,-2]=>[-2,3,5,4,-1]
[-1,4,5,-3,2]=>[2,-3,5,4,-1]
[-1,4,5,-3,-2]=>[-2,-3,5,4,-1]
[-1,4,-5,3,2]=>[2,3,-5,4,-1]
[-1,4,-5,3,-2]=>[-2,3,-5,4,-1]
[-1,4,-5,-3,2]=>[2,-3,-5,4,-1]
[-1,4,-5,-3,-2]=>[-2,-3,-5,4,-1]
[-1,-4,5,3,2]=>[2,3,5,-4,-1]
[-1,-4,5,3,-2]=>[-2,3,5,-4,-1]
[-1,-4,5,-3,2]=>[2,-3,5,-4,-1]
[-1,-4,5,-3,-2]=>[-2,-3,5,-4,-1]
[-1,-4,-5,3,2]=>[2,3,-5,-4,-1]
[-1,-4,-5,3,-2]=>[-2,3,-5,-4,-1]
[-1,-4,-5,-3,2]=>[2,-3,-5,-4,-1]
[-1,-4,-5,-3,-2]=>[-2,-3,-5,-4,-1]
[1,5,2,3,4]=>[4,3,2,5,1]
[1,5,2,3,-4]=>[-4,3,2,5,1]
[1,5,2,-3,4]=>[4,-3,2,5,1]
[1,5,2,-3,-4]=>[-4,-3,2,5,1]
[1,5,-2,3,4]=>[4,3,-2,5,1]
[1,5,-2,3,-4]=>[-4,3,-2,5,1]
[1,5,-2,-3,4]=>[4,-3,-2,5,1]
[1,5,-2,-3,-4]=>[-4,-3,-2,5,1]
[1,-5,2,3,4]=>[4,3,2,-5,1]
[1,-5,2,3,-4]=>[-4,3,2,-5,1]
[1,-5,2,-3,4]=>[4,-3,2,-5,1]
[1,-5,2,-3,-4]=>[-4,-3,2,-5,1]
[1,-5,-2,3,4]=>[4,3,-2,-5,1]
[1,-5,-2,3,-4]=>[-4,3,-2,-5,1]
[1,-5,-2,-3,4]=>[4,-3,-2,-5,1]
[1,-5,-2,-3,-4]=>[-4,-3,-2,-5,1]
[-1,5,2,3,4]=>[4,3,2,5,-1]
[-1,5,2,3,-4]=>[-4,3,2,5,-1]
[-1,5,2,-3,4]=>[4,-3,2,5,-1]
[-1,5,2,-3,-4]=>[-4,-3,2,5,-1]
[-1,5,-2,3,4]=>[4,3,-2,5,-1]
[-1,5,-2,3,-4]=>[-4,3,-2,5,-1]
[-1,5,-2,-3,4]=>[4,-3,-2,5,-1]
[-1,5,-2,-3,-4]=>[-4,-3,-2,5,-1]
[-1,-5,2,3,4]=>[4,3,2,-5,-1]
[-1,-5,2,3,-4]=>[-4,3,2,-5,-1]
[-1,-5,2,-3,4]=>[4,-3,2,-5,-1]
[-1,-5,2,-3,-4]=>[-4,-3,2,-5,-1]
[-1,-5,-2,3,4]=>[4,3,-2,-5,-1]
[-1,-5,-2,3,-4]=>[-4,3,-2,-5,-1]
[-1,-5,-2,-3,4]=>[4,-3,-2,-5,-1]
[-1,-5,-2,-3,-4]=>[-4,-3,-2,-5,-1]
[1,5,2,4,3]=>[3,4,2,5,1]
[1,5,2,4,-3]=>[-3,4,2,5,1]
[1,5,2,-4,3]=>[3,-4,2,5,1]
[1,5,2,-4,-3]=>[-3,-4,2,5,1]
[1,5,-2,4,3]=>[3,4,-2,5,1]
[1,5,-2,4,-3]=>[-3,4,-2,5,1]
[1,5,-2,-4,3]=>[3,-4,-2,5,1]
[1,5,-2,-4,-3]=>[-3,-4,-2,5,1]
[1,-5,2,4,3]=>[3,4,2,-5,1]
[1,-5,2,4,-3]=>[-3,4,2,-5,1]
[1,-5,2,-4,3]=>[3,-4,2,-5,1]
[1,-5,2,-4,-3]=>[-3,-4,2,-5,1]
[1,-5,-2,4,3]=>[3,4,-2,-5,1]
[1,-5,-2,4,-3]=>[-3,4,-2,-5,1]
[1,-5,-2,-4,3]=>[3,-4,-2,-5,1]
[1,-5,-2,-4,-3]=>[-3,-4,-2,-5,1]
[-1,5,2,4,3]=>[3,4,2,5,-1]
[-1,5,2,4,-3]=>[-3,4,2,5,-1]
[-1,5,2,-4,3]=>[3,-4,2,5,-1]
[-1,5,2,-4,-3]=>[-3,-4,2,5,-1]
[-1,5,-2,4,3]=>[3,4,-2,5,-1]
[-1,5,-2,4,-3]=>[-3,4,-2,5,-1]
[-1,5,-2,-4,3]=>[3,-4,-2,5,-1]
[-1,5,-2,-4,-3]=>[-3,-4,-2,5,-1]
[-1,-5,2,4,3]=>[3,4,2,-5,-1]
[-1,-5,2,4,-3]=>[-3,4,2,-5,-1]
[-1,-5,2,-4,3]=>[3,-4,2,-5,-1]
[-1,-5,2,-4,-3]=>[-3,-4,2,-5,-1]
[-1,-5,-2,4,3]=>[3,4,-2,-5,-1]
[-1,-5,-2,4,-3]=>[-3,4,-2,-5,-1]
[-1,-5,-2,-4,3]=>[3,-4,-2,-5,-1]
[-1,-5,-2,-4,-3]=>[-3,-4,-2,-5,-1]
[1,5,3,2,4]=>[4,2,3,5,1]
[1,5,3,2,-4]=>[-4,2,3,5,1]
[1,5,3,-2,4]=>[4,-2,3,5,1]
[1,5,3,-2,-4]=>[-4,-2,3,5,1]
[1,5,-3,2,4]=>[4,2,-3,5,1]
[1,5,-3,2,-4]=>[-4,2,-3,5,1]
[1,5,-3,-2,4]=>[4,-2,-3,5,1]
[1,5,-3,-2,-4]=>[-4,-2,-3,5,1]
[1,-5,3,2,4]=>[4,2,3,-5,1]
[1,-5,3,2,-4]=>[-4,2,3,-5,1]
[1,-5,3,-2,4]=>[4,-2,3,-5,1]
[1,-5,3,-2,-4]=>[-4,-2,3,-5,1]
[1,-5,-3,2,4]=>[4,2,-3,-5,1]
[1,-5,-3,2,-4]=>[-4,2,-3,-5,1]
[1,-5,-3,-2,4]=>[4,-2,-3,-5,1]
[1,-5,-3,-2,-4]=>[-4,-2,-3,-5,1]
[-1,5,3,2,4]=>[4,2,3,5,-1]
[-1,5,3,2,-4]=>[-4,2,3,5,-1]
[-1,5,3,-2,4]=>[4,-2,3,5,-1]
[-1,5,3,-2,-4]=>[-4,-2,3,5,-1]
[-1,5,-3,2,4]=>[4,2,-3,5,-1]
[-1,5,-3,2,-4]=>[-4,2,-3,5,-1]
[-1,5,-3,-2,4]=>[4,-2,-3,5,-1]
[-1,5,-3,-2,-4]=>[-4,-2,-3,5,-1]
[-1,-5,3,2,4]=>[4,2,3,-5,-1]
[-1,-5,3,2,-4]=>[-4,2,3,-5,-1]
[-1,-5,3,-2,4]=>[4,-2,3,-5,-1]
[-1,-5,3,-2,-4]=>[-4,-2,3,-5,-1]
[-1,-5,-3,2,4]=>[4,2,-3,-5,-1]
[-1,-5,-3,2,-4]=>[-4,2,-3,-5,-1]
[-1,-5,-3,-2,4]=>[4,-2,-3,-5,-1]
[-1,-5,-3,-2,-4]=>[-4,-2,-3,-5,-1]
[1,5,3,4,2]=>[2,4,3,5,1]
[1,5,3,4,-2]=>[-2,4,3,5,1]
[1,5,3,-4,2]=>[2,-4,3,5,1]
[1,5,3,-4,-2]=>[-2,-4,3,5,1]
[1,5,-3,4,2]=>[2,4,-3,5,1]
[1,5,-3,4,-2]=>[-2,4,-3,5,1]
[1,5,-3,-4,2]=>[2,-4,-3,5,1]
[1,5,-3,-4,-2]=>[-2,-4,-3,5,1]
[1,-5,3,4,2]=>[2,4,3,-5,1]
[1,-5,3,4,-2]=>[-2,4,3,-5,1]
[1,-5,3,-4,2]=>[2,-4,3,-5,1]
[1,-5,3,-4,-2]=>[-2,-4,3,-5,1]
[1,-5,-3,4,2]=>[2,4,-3,-5,1]
[1,-5,-3,4,-2]=>[-2,4,-3,-5,1]
[1,-5,-3,-4,2]=>[2,-4,-3,-5,1]
[1,-5,-3,-4,-2]=>[-2,-4,-3,-5,1]
[-1,5,3,4,2]=>[2,4,3,5,-1]
[-1,5,3,4,-2]=>[-2,4,3,5,-1]
[-1,5,3,-4,2]=>[2,-4,3,5,-1]
[-1,5,3,-4,-2]=>[-2,-4,3,5,-1]
[-1,5,-3,4,2]=>[2,4,-3,5,-1]
[-1,5,-3,4,-2]=>[-2,4,-3,5,-1]
[-1,5,-3,-4,2]=>[2,-4,-3,5,-1]
[-1,5,-3,-4,-2]=>[-2,-4,-3,5,-1]
[-1,-5,3,4,2]=>[2,4,3,-5,-1]
[-1,-5,3,4,-2]=>[-2,4,3,-5,-1]
[-1,-5,3,-4,2]=>[2,-4,3,-5,-1]
[-1,-5,3,-4,-2]=>[-2,-4,3,-5,-1]
[-1,-5,-3,4,2]=>[2,4,-3,-5,-1]
[-1,-5,-3,4,-2]=>[-2,4,-3,-5,-1]
[-1,-5,-3,-4,2]=>[2,-4,-3,-5,-1]
[-1,-5,-3,-4,-2]=>[-2,-4,-3,-5,-1]
[1,5,4,2,3]=>[3,2,4,5,1]
[1,5,4,2,-3]=>[-3,2,4,5,1]
[1,5,4,-2,3]=>[3,-2,4,5,1]
[1,5,4,-2,-3]=>[-3,-2,4,5,1]
[1,5,-4,2,3]=>[3,2,-4,5,1]
[1,5,-4,2,-3]=>[-3,2,-4,5,1]
[1,5,-4,-2,3]=>[3,-2,-4,5,1]
[1,5,-4,-2,-3]=>[-3,-2,-4,5,1]
[1,-5,4,2,3]=>[3,2,4,-5,1]
[1,-5,4,2,-3]=>[-3,2,4,-5,1]
[1,-5,4,-2,3]=>[3,-2,4,-5,1]
[1,-5,4,-2,-3]=>[-3,-2,4,-5,1]
[1,-5,-4,2,3]=>[3,2,-4,-5,1]
[1,-5,-4,2,-3]=>[-3,2,-4,-5,1]
[1,-5,-4,-2,3]=>[3,-2,-4,-5,1]
[1,-5,-4,-2,-3]=>[-3,-2,-4,-5,1]
[-1,5,4,2,3]=>[3,2,4,5,-1]
[-1,5,4,2,-3]=>[-3,2,4,5,-1]
[-1,5,4,-2,3]=>[3,-2,4,5,-1]
[-1,5,4,-2,-3]=>[-3,-2,4,5,-1]
[-1,5,-4,2,3]=>[3,2,-4,5,-1]
[-1,5,-4,2,-3]=>[-3,2,-4,5,-1]
[-1,5,-4,-2,3]=>[3,-2,-4,5,-1]
[-1,5,-4,-2,-3]=>[-3,-2,-4,5,-1]
[-1,-5,4,2,3]=>[3,2,4,-5,-1]
[-1,-5,4,2,-3]=>[-3,2,4,-5,-1]
[-1,-5,4,-2,3]=>[3,-2,4,-5,-1]
[-1,-5,4,-2,-3]=>[-3,-2,4,-5,-1]
[-1,-5,-4,2,3]=>[3,2,-4,-5,-1]
[-1,-5,-4,2,-3]=>[-3,2,-4,-5,-1]
[-1,-5,-4,-2,3]=>[3,-2,-4,-5,-1]
[-1,-5,-4,-2,-3]=>[-3,-2,-4,-5,-1]
[1,5,4,3,2]=>[2,3,4,5,1]
[1,5,4,3,-2]=>[-2,3,4,5,1]
[1,5,4,-3,2]=>[2,-3,4,5,1]
[1,5,4,-3,-2]=>[-2,-3,4,5,1]
[1,5,-4,3,2]=>[2,3,-4,5,1]
[1,5,-4,3,-2]=>[-2,3,-4,5,1]
[1,5,-4,-3,2]=>[2,-3,-4,5,1]
[1,5,-4,-3,-2]=>[-2,-3,-4,5,1]
[1,-5,4,3,2]=>[2,3,4,-5,1]
[1,-5,4,3,-2]=>[-2,3,4,-5,1]
[1,-5,4,-3,2]=>[2,-3,4,-5,1]
[1,-5,4,-3,-2]=>[-2,-3,4,-5,1]
[1,-5,-4,3,2]=>[2,3,-4,-5,1]
[1,-5,-4,3,-2]=>[-2,3,-4,-5,1]
[1,-5,-4,-3,2]=>[2,-3,-4,-5,1]
[1,-5,-4,-3,-2]=>[-2,-3,-4,-5,1]
[-1,5,4,3,2]=>[2,3,4,5,-1]
[-1,5,4,3,-2]=>[-2,3,4,5,-1]
[-1,5,4,-3,2]=>[2,-3,4,5,-1]
[-1,5,4,-3,-2]=>[-2,-3,4,5,-1]
[-1,5,-4,3,2]=>[2,3,-4,5,-1]
[-1,5,-4,3,-2]=>[-2,3,-4,5,-1]
[-1,5,-4,-3,2]=>[2,-3,-4,5,-1]
[-1,5,-4,-3,-2]=>[-2,-3,-4,5,-1]
[-1,-5,4,3,2]=>[2,3,4,-5,-1]
[-1,-5,4,3,-2]=>[-2,3,4,-5,-1]
[-1,-5,4,-3,2]=>[2,-3,4,-5,-1]
[-1,-5,4,-3,-2]=>[-2,-3,4,-5,-1]
[-1,-5,-4,3,2]=>[2,3,-4,-5,-1]
[-1,-5,-4,3,-2]=>[-2,3,-4,-5,-1]
[-1,-5,-4,-3,2]=>[2,-3,-4,-5,-1]
[-1,-5,-4,-3,-2]=>[-2,-3,-4,-5,-1]
[2,1,3,4,5]=>[5,4,3,1,2]
[2,1,3,4,-5]=>[-5,4,3,1,2]
[2,1,3,-4,5]=>[5,-4,3,1,2]
[2,1,3,-4,-5]=>[-5,-4,3,1,2]
[2,1,-3,4,5]=>[5,4,-3,1,2]
[2,1,-3,4,-5]=>[-5,4,-3,1,2]
[2,1,-3,-4,5]=>[5,-4,-3,1,2]
[2,1,-3,-4,-5]=>[-5,-4,-3,1,2]
[2,-1,3,4,5]=>[5,4,3,-1,2]
[2,-1,3,4,-5]=>[-5,4,3,-1,2]
[2,-1,3,-4,5]=>[5,-4,3,-1,2]
[2,-1,3,-4,-5]=>[-5,-4,3,-1,2]
[2,-1,-3,4,5]=>[5,4,-3,-1,2]
[2,-1,-3,4,-5]=>[-5,4,-3,-1,2]
[2,-1,-3,-4,5]=>[5,-4,-3,-1,2]
[2,-1,-3,-4,-5]=>[-5,-4,-3,-1,2]
[-2,1,3,4,5]=>[5,4,3,1,-2]
[-2,1,3,4,-5]=>[-5,4,3,1,-2]
[-2,1,3,-4,5]=>[5,-4,3,1,-2]
[-2,1,3,-4,-5]=>[-5,-4,3,1,-2]
[-2,1,-3,4,5]=>[5,4,-3,1,-2]
[-2,1,-3,4,-5]=>[-5,4,-3,1,-2]
[-2,1,-3,-4,5]=>[5,-4,-3,1,-2]
[-2,1,-3,-4,-5]=>[-5,-4,-3,1,-2]
[-2,-1,3,4,5]=>[5,4,3,-1,-2]
[-2,-1,3,4,-5]=>[-5,4,3,-1,-2]
[-2,-1,3,-4,5]=>[5,-4,3,-1,-2]
[-2,-1,3,-4,-5]=>[-5,-4,3,-1,-2]
[-2,-1,-3,4,5]=>[5,4,-3,-1,-2]
[-2,-1,-3,4,-5]=>[-5,4,-3,-1,-2]
[-2,-1,-3,-4,5]=>[5,-4,-3,-1,-2]
[-2,-1,-3,-4,-5]=>[-5,-4,-3,-1,-2]
[2,1,3,5,4]=>[4,5,3,1,2]
[2,1,3,5,-4]=>[-4,5,3,1,2]
[2,1,3,-5,4]=>[4,-5,3,1,2]
[2,1,3,-5,-4]=>[-4,-5,3,1,2]
[2,1,-3,5,4]=>[4,5,-3,1,2]
[2,1,-3,5,-4]=>[-4,5,-3,1,2]
[2,1,-3,-5,4]=>[4,-5,-3,1,2]
[2,1,-3,-5,-4]=>[-4,-5,-3,1,2]
[2,-1,3,5,4]=>[4,5,3,-1,2]
[2,-1,3,5,-4]=>[-4,5,3,-1,2]
[2,-1,3,-5,4]=>[4,-5,3,-1,2]
[2,-1,3,-5,-4]=>[-4,-5,3,-1,2]
[2,-1,-3,5,4]=>[4,5,-3,-1,2]
[2,-1,-3,5,-4]=>[-4,5,-3,-1,2]
[2,-1,-3,-5,4]=>[4,-5,-3,-1,2]
[2,-1,-3,-5,-4]=>[-4,-5,-3,-1,2]
[-2,1,3,5,4]=>[4,5,3,1,-2]
[-2,1,3,5,-4]=>[-4,5,3,1,-2]
[-2,1,3,-5,4]=>[4,-5,3,1,-2]
[-2,1,3,-5,-4]=>[-4,-5,3,1,-2]
[-2,1,-3,5,4]=>[4,5,-3,1,-2]
[-2,1,-3,5,-4]=>[-4,5,-3,1,-2]
[-2,1,-3,-5,4]=>[4,-5,-3,1,-2]
[-2,1,-3,-5,-4]=>[-4,-5,-3,1,-2]
[-2,-1,3,5,4]=>[4,5,3,-1,-2]
[-2,-1,3,5,-4]=>[-4,5,3,-1,-2]
[-2,-1,3,-5,4]=>[4,-5,3,-1,-2]
[-2,-1,3,-5,-4]=>[-4,-5,3,-1,-2]
[-2,-1,-3,5,4]=>[4,5,-3,-1,-2]
[-2,-1,-3,5,-4]=>[-4,5,-3,-1,-2]
[-2,-1,-3,-5,4]=>[4,-5,-3,-1,-2]
[-2,-1,-3,-5,-4]=>[-4,-5,-3,-1,-2]
[2,1,4,3,5]=>[5,3,4,1,2]
[2,1,4,3,-5]=>[-5,3,4,1,2]
[2,1,4,-3,5]=>[5,-3,4,1,2]
[2,1,4,-3,-5]=>[-5,-3,4,1,2]
[2,1,-4,3,5]=>[5,3,-4,1,2]
[2,1,-4,3,-5]=>[-5,3,-4,1,2]
[2,1,-4,-3,5]=>[5,-3,-4,1,2]
[2,1,-4,-3,-5]=>[-5,-3,-4,1,2]
[2,-1,4,3,5]=>[5,3,4,-1,2]
[2,-1,4,3,-5]=>[-5,3,4,-1,2]
[2,-1,4,-3,5]=>[5,-3,4,-1,2]
[2,-1,4,-3,-5]=>[-5,-3,4,-1,2]
[2,-1,-4,3,5]=>[5,3,-4,-1,2]
[2,-1,-4,3,-5]=>[-5,3,-4,-1,2]
[2,-1,-4,-3,5]=>[5,-3,-4,-1,2]
[2,-1,-4,-3,-5]=>[-5,-3,-4,-1,2]
[-2,1,4,3,5]=>[5,3,4,1,-2]
[-2,1,4,3,-5]=>[-5,3,4,1,-2]
[-2,1,4,-3,5]=>[5,-3,4,1,-2]
[-2,1,4,-3,-5]=>[-5,-3,4,1,-2]
[-2,1,-4,3,5]=>[5,3,-4,1,-2]
[-2,1,-4,3,-5]=>[-5,3,-4,1,-2]
[-2,1,-4,-3,5]=>[5,-3,-4,1,-2]
[-2,1,-4,-3,-5]=>[-5,-3,-4,1,-2]
[-2,-1,4,3,5]=>[5,3,4,-1,-2]
[-2,-1,4,3,-5]=>[-5,3,4,-1,-2]
[-2,-1,4,-3,5]=>[5,-3,4,-1,-2]
[-2,-1,4,-3,-5]=>[-5,-3,4,-1,-2]
[-2,-1,-4,3,5]=>[5,3,-4,-1,-2]
[-2,-1,-4,3,-5]=>[-5,3,-4,-1,-2]
[-2,-1,-4,-3,5]=>[5,-3,-4,-1,-2]
[-2,-1,-4,-3,-5]=>[-5,-3,-4,-1,-2]
[2,1,4,5,3]=>[3,5,4,1,2]
[2,1,4,5,-3]=>[-3,5,4,1,2]
[2,1,4,-5,3]=>[3,-5,4,1,2]
[2,1,4,-5,-3]=>[-3,-5,4,1,2]
[2,1,-4,5,3]=>[3,5,-4,1,2]
[2,1,-4,5,-3]=>[-3,5,-4,1,2]
[2,1,-4,-5,3]=>[3,-5,-4,1,2]
[2,1,-4,-5,-3]=>[-3,-5,-4,1,2]
[2,-1,4,5,3]=>[3,5,4,-1,2]
[2,-1,4,5,-3]=>[-3,5,4,-1,2]
[2,-1,4,-5,3]=>[3,-5,4,-1,2]
[2,-1,4,-5,-3]=>[-3,-5,4,-1,2]
[2,-1,-4,5,3]=>[3,5,-4,-1,2]
[2,-1,-4,5,-3]=>[-3,5,-4,-1,2]
[2,-1,-4,-5,3]=>[3,-5,-4,-1,2]
[2,-1,-4,-5,-3]=>[-3,-5,-4,-1,2]
[-2,1,4,5,3]=>[3,5,4,1,-2]
[-2,1,4,5,-3]=>[-3,5,4,1,-2]
[-2,1,4,-5,3]=>[3,-5,4,1,-2]
[-2,1,4,-5,-3]=>[-3,-5,4,1,-2]
[-2,1,-4,5,3]=>[3,5,-4,1,-2]
[-2,1,-4,5,-3]=>[-3,5,-4,1,-2]
[-2,1,-4,-5,3]=>[3,-5,-4,1,-2]
[-2,1,-4,-5,-3]=>[-3,-5,-4,1,-2]
[-2,-1,4,5,3]=>[3,5,4,-1,-2]
[-2,-1,4,5,-3]=>[-3,5,4,-1,-2]
[-2,-1,4,-5,3]=>[3,-5,4,-1,-2]
[-2,-1,4,-5,-3]=>[-3,-5,4,-1,-2]
[-2,-1,-4,5,3]=>[3,5,-4,-1,-2]
[-2,-1,-4,5,-3]=>[-3,5,-4,-1,-2]
[-2,-1,-4,-5,3]=>[3,-5,-4,-1,-2]
[-2,-1,-4,-5,-3]=>[-3,-5,-4,-1,-2]
[2,1,5,3,4]=>[4,3,5,1,2]
[2,1,5,3,-4]=>[-4,3,5,1,2]
[2,1,5,-3,4]=>[4,-3,5,1,2]
[2,1,5,-3,-4]=>[-4,-3,5,1,2]
[2,1,-5,3,4]=>[4,3,-5,1,2]
[2,1,-5,3,-4]=>[-4,3,-5,1,2]
[2,1,-5,-3,4]=>[4,-3,-5,1,2]
[2,1,-5,-3,-4]=>[-4,-3,-5,1,2]
[2,-1,5,3,4]=>[4,3,5,-1,2]
[2,-1,5,3,-4]=>[-4,3,5,-1,2]
[2,-1,5,-3,4]=>[4,-3,5,-1,2]
[2,-1,5,-3,-4]=>[-4,-3,5,-1,2]
[2,-1,-5,3,4]=>[4,3,-5,-1,2]
[2,-1,-5,3,-4]=>[-4,3,-5,-1,2]
[2,-1,-5,-3,4]=>[4,-3,-5,-1,2]
[2,-1,-5,-3,-4]=>[-4,-3,-5,-1,2]
[-2,1,5,3,4]=>[4,3,5,1,-2]
[-2,1,5,3,-4]=>[-4,3,5,1,-2]
[-2,1,5,-3,4]=>[4,-3,5,1,-2]
[-2,1,5,-3,-4]=>[-4,-3,5,1,-2]
[-2,1,-5,3,4]=>[4,3,-5,1,-2]
[-2,1,-5,3,-4]=>[-4,3,-5,1,-2]
[-2,1,-5,-3,4]=>[4,-3,-5,1,-2]
[-2,1,-5,-3,-4]=>[-4,-3,-5,1,-2]
[-2,-1,5,3,4]=>[4,3,5,-1,-2]
[-2,-1,5,3,-4]=>[-4,3,5,-1,-2]
[-2,-1,5,-3,4]=>[4,-3,5,-1,-2]
[-2,-1,5,-3,-4]=>[-4,-3,5,-1,-2]
[-2,-1,-5,3,4]=>[4,3,-5,-1,-2]
[-2,-1,-5,3,-4]=>[-4,3,-5,-1,-2]
[-2,-1,-5,-3,4]=>[4,-3,-5,-1,-2]
[-2,-1,-5,-3,-4]=>[-4,-3,-5,-1,-2]
[2,1,5,4,3]=>[3,4,5,1,2]
[2,1,5,4,-3]=>[-3,4,5,1,2]
[2,1,5,-4,3]=>[3,-4,5,1,2]
[2,1,5,-4,-3]=>[-3,-4,5,1,2]
[2,1,-5,4,3]=>[3,4,-5,1,2]
[2,1,-5,4,-3]=>[-3,4,-5,1,2]
[2,1,-5,-4,3]=>[3,-4,-5,1,2]
[2,1,-5,-4,-3]=>[-3,-4,-5,1,2]
[2,-1,5,4,3]=>[3,4,5,-1,2]
[2,-1,5,4,-3]=>[-3,4,5,-1,2]
[2,-1,5,-4,3]=>[3,-4,5,-1,2]
[2,-1,5,-4,-3]=>[-3,-4,5,-1,2]
[2,-1,-5,4,3]=>[3,4,-5,-1,2]
[2,-1,-5,4,-3]=>[-3,4,-5,-1,2]
[2,-1,-5,-4,3]=>[3,-4,-5,-1,2]
[2,-1,-5,-4,-3]=>[-3,-4,-5,-1,2]
[-2,1,5,4,3]=>[3,4,5,1,-2]
[-2,1,5,4,-3]=>[-3,4,5,1,-2]
[-2,1,5,-4,3]=>[3,-4,5,1,-2]
[-2,1,5,-4,-3]=>[-3,-4,5,1,-2]
[-2,1,-5,4,3]=>[3,4,-5,1,-2]
[-2,1,-5,4,-3]=>[-3,4,-5,1,-2]
[-2,1,-5,-4,3]=>[3,-4,-5,1,-2]
[-2,1,-5,-4,-3]=>[-3,-4,-5,1,-2]
[-2,-1,5,4,3]=>[3,4,5,-1,-2]
[-2,-1,5,4,-3]=>[-3,4,5,-1,-2]
[-2,-1,5,-4,3]=>[3,-4,5,-1,-2]
[-2,-1,5,-4,-3]=>[-3,-4,5,-1,-2]
[-2,-1,-5,4,3]=>[3,4,-5,-1,-2]
[-2,-1,-5,4,-3]=>[-3,4,-5,-1,-2]
[-2,-1,-5,-4,3]=>[3,-4,-5,-1,-2]
[-2,-1,-5,-4,-3]=>[-3,-4,-5,-1,-2]
[2,3,1,4,5]=>[5,4,1,3,2]
[2,3,1,4,-5]=>[-5,4,1,3,2]
[2,3,1,-4,5]=>[5,-4,1,3,2]
[2,3,1,-4,-5]=>[-5,-4,1,3,2]
[2,3,-1,4,5]=>[5,4,-1,3,2]
[2,3,-1,4,-5]=>[-5,4,-1,3,2]
[2,3,-1,-4,5]=>[5,-4,-1,3,2]
[2,3,-1,-4,-5]=>[-5,-4,-1,3,2]
[2,-3,1,4,5]=>[5,4,1,-3,2]
[2,-3,1,4,-5]=>[-5,4,1,-3,2]
[2,-3,1,-4,5]=>[5,-4,1,-3,2]
[2,-3,1,-4,-5]=>[-5,-4,1,-3,2]
[2,-3,-1,4,5]=>[5,4,-1,-3,2]
[2,-3,-1,4,-5]=>[-5,4,-1,-3,2]
[2,-3,-1,-4,5]=>[5,-4,-1,-3,2]
[2,-3,-1,-4,-5]=>[-5,-4,-1,-3,2]
[-2,3,1,4,5]=>[5,4,1,3,-2]
[-2,3,1,4,-5]=>[-5,4,1,3,-2]
[-2,3,1,-4,5]=>[5,-4,1,3,-2]
[-2,3,1,-4,-5]=>[-5,-4,1,3,-2]
[-2,3,-1,4,5]=>[5,4,-1,3,-2]
[-2,3,-1,4,-5]=>[-5,4,-1,3,-2]
[-2,3,-1,-4,5]=>[5,-4,-1,3,-2]
[-2,3,-1,-4,-5]=>[-5,-4,-1,3,-2]
[-2,-3,1,4,5]=>[5,4,1,-3,-2]
[-2,-3,1,4,-5]=>[-5,4,1,-3,-2]
[-2,-3,1,-4,5]=>[5,-4,1,-3,-2]
[-2,-3,1,-4,-5]=>[-5,-4,1,-3,-2]
[-2,-3,-1,4,5]=>[5,4,-1,-3,-2]
[-2,-3,-1,4,-5]=>[-5,4,-1,-3,-2]
[-2,-3,-1,-4,5]=>[5,-4,-1,-3,-2]
[-2,-3,-1,-4,-5]=>[-5,-4,-1,-3,-2]
[2,3,1,5,4]=>[4,5,1,3,2]
[2,3,1,5,-4]=>[-4,5,1,3,2]
[2,3,1,-5,4]=>[4,-5,1,3,2]
[2,3,1,-5,-4]=>[-4,-5,1,3,2]
[2,3,-1,5,4]=>[4,5,-1,3,2]
[2,3,-1,5,-4]=>[-4,5,-1,3,2]
[2,3,-1,-5,4]=>[4,-5,-1,3,2]
[2,3,-1,-5,-4]=>[-4,-5,-1,3,2]
[2,-3,1,5,4]=>[4,5,1,-3,2]
[2,-3,1,5,-4]=>[-4,5,1,-3,2]
[2,-3,1,-5,4]=>[4,-5,1,-3,2]
[2,-3,1,-5,-4]=>[-4,-5,1,-3,2]
[2,-3,-1,5,4]=>[4,5,-1,-3,2]
[2,-3,-1,5,-4]=>[-4,5,-1,-3,2]
[2,-3,-1,-5,4]=>[4,-5,-1,-3,2]
[2,-3,-1,-5,-4]=>[-4,-5,-1,-3,2]
[-2,3,1,5,4]=>[4,5,1,3,-2]
[-2,3,1,5,-4]=>[-4,5,1,3,-2]
[-2,3,1,-5,4]=>[4,-5,1,3,-2]
[-2,3,1,-5,-4]=>[-4,-5,1,3,-2]
[-2,3,-1,5,4]=>[4,5,-1,3,-2]
[-2,3,-1,5,-4]=>[-4,5,-1,3,-2]
[-2,3,-1,-5,4]=>[4,-5,-1,3,-2]
[-2,3,-1,-5,-4]=>[-4,-5,-1,3,-2]
[-2,-3,1,5,4]=>[4,5,1,-3,-2]
[-2,-3,1,5,-4]=>[-4,5,1,-3,-2]
[-2,-3,1,-5,4]=>[4,-5,1,-3,-2]
[-2,-3,1,-5,-4]=>[-4,-5,1,-3,-2]
[-2,-3,-1,5,4]=>[4,5,-1,-3,-2]
[-2,-3,-1,5,-4]=>[-4,5,-1,-3,-2]
[-2,-3,-1,-5,4]=>[4,-5,-1,-3,-2]
[-2,-3,-1,-5,-4]=>[-4,-5,-1,-3,-2]
[2,3,4,1,5]=>[5,1,4,3,2]
[2,3,4,1,-5]=>[-5,1,4,3,2]
[2,3,4,-1,5]=>[5,-1,4,3,2]
[2,3,4,-1,-5]=>[-5,-1,4,3,2]
[2,3,-4,1,5]=>[5,1,-4,3,2]
[2,3,-4,1,-5]=>[-5,1,-4,3,2]
[2,3,-4,-1,5]=>[5,-1,-4,3,2]
[2,3,-4,-1,-5]=>[-5,-1,-4,3,2]
[2,-3,4,1,5]=>[5,1,4,-3,2]
[2,-3,4,1,-5]=>[-5,1,4,-3,2]
[2,-3,4,-1,5]=>[5,-1,4,-3,2]
[2,-3,4,-1,-5]=>[-5,-1,4,-3,2]
[2,-3,-4,1,5]=>[5,1,-4,-3,2]
[2,-3,-4,1,-5]=>[-5,1,-4,-3,2]
[2,-3,-4,-1,5]=>[5,-1,-4,-3,2]
[2,-3,-4,-1,-5]=>[-5,-1,-4,-3,2]
[-2,3,4,1,5]=>[5,1,4,3,-2]
[-2,3,4,1,-5]=>[-5,1,4,3,-2]
[-2,3,4,-1,5]=>[5,-1,4,3,-2]
[-2,3,4,-1,-5]=>[-5,-1,4,3,-2]
[-2,3,-4,1,5]=>[5,1,-4,3,-2]
[-2,3,-4,1,-5]=>[-5,1,-4,3,-2]
[-2,3,-4,-1,5]=>[5,-1,-4,3,-2]
[-2,3,-4,-1,-5]=>[-5,-1,-4,3,-2]
[-2,-3,4,1,5]=>[5,1,4,-3,-2]
[-2,-3,4,1,-5]=>[-5,1,4,-3,-2]
[-2,-3,4,-1,5]=>[5,-1,4,-3,-2]
[-2,-3,4,-1,-5]=>[-5,-1,4,-3,-2]
[-2,-3,-4,1,5]=>[5,1,-4,-3,-2]
[-2,-3,-4,1,-5]=>[-5,1,-4,-3,-2]
[-2,-3,-4,-1,5]=>[5,-1,-4,-3,-2]
[-2,-3,-4,-1,-5]=>[-5,-1,-4,-3,-2]
[2,3,4,5,1]=>[1,5,4,3,2]
[2,3,4,5,-1]=>[-1,5,4,3,2]
[2,3,4,-5,1]=>[1,-5,4,3,2]
[2,3,4,-5,-1]=>[-1,-5,4,3,2]
[2,3,-4,5,1]=>[1,5,-4,3,2]
[2,3,-4,5,-1]=>[-1,5,-4,3,2]
[2,3,-4,-5,1]=>[1,-5,-4,3,2]
[2,3,-4,-5,-1]=>[-1,-5,-4,3,2]
[2,-3,4,5,1]=>[1,5,4,-3,2]
[2,-3,4,5,-1]=>[-1,5,4,-3,2]
[2,-3,4,-5,1]=>[1,-5,4,-3,2]
[2,-3,4,-5,-1]=>[-1,-5,4,-3,2]
[2,-3,-4,5,1]=>[1,5,-4,-3,2]
[2,-3,-4,5,-1]=>[-1,5,-4,-3,2]
[2,-3,-4,-5,1]=>[1,-5,-4,-3,2]
[2,-3,-4,-5,-1]=>[-1,-5,-4,-3,2]
[-2,3,4,5,1]=>[1,5,4,3,-2]
[-2,3,4,5,-1]=>[-1,5,4,3,-2]
[-2,3,4,-5,1]=>[1,-5,4,3,-2]
[-2,3,4,-5,-1]=>[-1,-5,4,3,-2]
[-2,3,-4,5,1]=>[1,5,-4,3,-2]
[-2,3,-4,5,-1]=>[-1,5,-4,3,-2]
[-2,3,-4,-5,1]=>[1,-5,-4,3,-2]
[-2,3,-4,-5,-1]=>[-1,-5,-4,3,-2]
[-2,-3,4,5,1]=>[1,5,4,-3,-2]
[-2,-3,4,5,-1]=>[-1,5,4,-3,-2]
[-2,-3,4,-5,1]=>[1,-5,4,-3,-2]
[-2,-3,4,-5,-1]=>[-1,-5,4,-3,-2]
[-2,-3,-4,5,1]=>[1,5,-4,-3,-2]
[-2,-3,-4,5,-1]=>[-1,5,-4,-3,-2]
[-2,-3,-4,-5,1]=>[1,-5,-4,-3,-2]
[-2,-3,-4,-5,-1]=>[-1,-5,-4,-3,-2]
[2,3,5,1,4]=>[4,1,5,3,2]
[2,3,5,1,-4]=>[-4,1,5,3,2]
[2,3,5,-1,4]=>[4,-1,5,3,2]
[2,3,5,-1,-4]=>[-4,-1,5,3,2]
[2,3,-5,1,4]=>[4,1,-5,3,2]
[2,3,-5,1,-4]=>[-4,1,-5,3,2]
[2,3,-5,-1,4]=>[4,-1,-5,3,2]
[2,3,-5,-1,-4]=>[-4,-1,-5,3,2]
[2,-3,5,1,4]=>[4,1,5,-3,2]
[2,-3,5,1,-4]=>[-4,1,5,-3,2]
[2,-3,5,-1,4]=>[4,-1,5,-3,2]
[2,-3,5,-1,-4]=>[-4,-1,5,-3,2]
[2,-3,-5,1,4]=>[4,1,-5,-3,2]
[2,-3,-5,1,-4]=>[-4,1,-5,-3,2]
[2,-3,-5,-1,4]=>[4,-1,-5,-3,2]
[2,-3,-5,-1,-4]=>[-4,-1,-5,-3,2]
[-2,3,5,1,4]=>[4,1,5,3,-2]
[-2,3,5,1,-4]=>[-4,1,5,3,-2]
[-2,3,5,-1,4]=>[4,-1,5,3,-2]
[-2,3,5,-1,-4]=>[-4,-1,5,3,-2]
[-2,3,-5,1,4]=>[4,1,-5,3,-2]
[-2,3,-5,1,-4]=>[-4,1,-5,3,-2]
[-2,3,-5,-1,4]=>[4,-1,-5,3,-2]
[-2,3,-5,-1,-4]=>[-4,-1,-5,3,-2]
[-2,-3,5,1,4]=>[4,1,5,-3,-2]
[-2,-3,5,1,-4]=>[-4,1,5,-3,-2]
[-2,-3,5,-1,4]=>[4,-1,5,-3,-2]
[-2,-3,5,-1,-4]=>[-4,-1,5,-3,-2]
[-2,-3,-5,1,4]=>[4,1,-5,-3,-2]
[-2,-3,-5,1,-4]=>[-4,1,-5,-3,-2]
[-2,-3,-5,-1,4]=>[4,-1,-5,-3,-2]
[-2,-3,-5,-1,-4]=>[-4,-1,-5,-3,-2]
[2,3,5,4,1]=>[1,4,5,3,2]
[2,3,5,4,-1]=>[-1,4,5,3,2]
[2,3,5,-4,1]=>[1,-4,5,3,2]
[2,3,5,-4,-1]=>[-1,-4,5,3,2]
[2,3,-5,4,1]=>[1,4,-5,3,2]
[2,3,-5,4,-1]=>[-1,4,-5,3,2]
[2,3,-5,-4,1]=>[1,-4,-5,3,2]
[2,3,-5,-4,-1]=>[-1,-4,-5,3,2]
[2,-3,5,4,1]=>[1,4,5,-3,2]
[2,-3,5,4,-1]=>[-1,4,5,-3,2]
[2,-3,5,-4,1]=>[1,-4,5,-3,2]
[2,-3,5,-4,-1]=>[-1,-4,5,-3,2]
[2,-3,-5,4,1]=>[1,4,-5,-3,2]
[2,-3,-5,4,-1]=>[-1,4,-5,-3,2]
[2,-3,-5,-4,1]=>[1,-4,-5,-3,2]
[2,-3,-5,-4,-1]=>[-1,-4,-5,-3,2]
[-2,3,5,4,1]=>[1,4,5,3,-2]
[-2,3,5,4,-1]=>[-1,4,5,3,-2]
[-2,3,5,-4,1]=>[1,-4,5,3,-2]
[-2,3,5,-4,-1]=>[-1,-4,5,3,-2]
[-2,3,-5,4,1]=>[1,4,-5,3,-2]
[-2,3,-5,4,-1]=>[-1,4,-5,3,-2]
[-2,3,-5,-4,1]=>[1,-4,-5,3,-2]
[-2,3,-5,-4,-1]=>[-1,-4,-5,3,-2]
[-2,-3,5,4,1]=>[1,4,5,-3,-2]
[-2,-3,5,4,-1]=>[-1,4,5,-3,-2]
[-2,-3,5,-4,1]=>[1,-4,5,-3,-2]
[-2,-3,5,-4,-1]=>[-1,-4,5,-3,-2]
[-2,-3,-5,4,1]=>[1,4,-5,-3,-2]
[-2,-3,-5,4,-1]=>[-1,4,-5,-3,-2]
[-2,-3,-5,-4,1]=>[1,-4,-5,-3,-2]
[-2,-3,-5,-4,-1]=>[-1,-4,-5,-3,-2]
[2,4,1,3,5]=>[5,3,1,4,2]
[2,4,1,3,-5]=>[-5,3,1,4,2]
[2,4,1,-3,5]=>[5,-3,1,4,2]
[2,4,1,-3,-5]=>[-5,-3,1,4,2]
[2,4,-1,3,5]=>[5,3,-1,4,2]
[2,4,-1,3,-5]=>[-5,3,-1,4,2]
[2,4,-1,-3,5]=>[5,-3,-1,4,2]
[2,4,-1,-3,-5]=>[-5,-3,-1,4,2]
[2,-4,1,3,5]=>[5,3,1,-4,2]
[2,-4,1,3,-5]=>[-5,3,1,-4,2]
[2,-4,1,-3,5]=>[5,-3,1,-4,2]
[2,-4,1,-3,-5]=>[-5,-3,1,-4,2]
[2,-4,-1,3,5]=>[5,3,-1,-4,2]
[2,-4,-1,3,-5]=>[-5,3,-1,-4,2]
[2,-4,-1,-3,5]=>[5,-3,-1,-4,2]
[2,-4,-1,-3,-5]=>[-5,-3,-1,-4,2]
[-2,4,1,3,5]=>[5,3,1,4,-2]
[-2,4,1,3,-5]=>[-5,3,1,4,-2]
[-2,4,1,-3,5]=>[5,-3,1,4,-2]
[-2,4,1,-3,-5]=>[-5,-3,1,4,-2]
[-2,4,-1,3,5]=>[5,3,-1,4,-2]
[-2,4,-1,3,-5]=>[-5,3,-1,4,-2]
[-2,4,-1,-3,5]=>[5,-3,-1,4,-2]
[-2,4,-1,-3,-5]=>[-5,-3,-1,4,-2]
[-2,-4,1,3,5]=>[5,3,1,-4,-2]
[-2,-4,1,3,-5]=>[-5,3,1,-4,-2]
[-2,-4,1,-3,5]=>[5,-3,1,-4,-2]
[-2,-4,1,-3,-5]=>[-5,-3,1,-4,-2]
[-2,-4,-1,3,5]=>[5,3,-1,-4,-2]
[-2,-4,-1,3,-5]=>[-5,3,-1,-4,-2]
[-2,-4,-1,-3,5]=>[5,-3,-1,-4,-2]
[-2,-4,-1,-3,-5]=>[-5,-3,-1,-4,-2]
[2,4,1,5,3]=>[3,5,1,4,2]
[2,4,1,5,-3]=>[-3,5,1,4,2]
[2,4,1,-5,3]=>[3,-5,1,4,2]
[2,4,1,-5,-3]=>[-3,-5,1,4,2]
[2,4,-1,5,3]=>[3,5,-1,4,2]
[2,4,-1,5,-3]=>[-3,5,-1,4,2]
[2,4,-1,-5,3]=>[3,-5,-1,4,2]
[2,4,-1,-5,-3]=>[-3,-5,-1,4,2]
[2,-4,1,5,3]=>[3,5,1,-4,2]
[2,-4,1,5,-3]=>[-3,5,1,-4,2]
[2,-4,1,-5,3]=>[3,-5,1,-4,2]
[2,-4,1,-5,-3]=>[-3,-5,1,-4,2]
[2,-4,-1,5,3]=>[3,5,-1,-4,2]
[2,-4,-1,5,-3]=>[-3,5,-1,-4,2]
[2,-4,-1,-5,3]=>[3,-5,-1,-4,2]
[2,-4,-1,-5,-3]=>[-3,-5,-1,-4,2]
[-2,4,1,5,3]=>[3,5,1,4,-2]
[-2,4,1,5,-3]=>[-3,5,1,4,-2]
[-2,4,1,-5,3]=>[3,-5,1,4,-2]
[-2,4,1,-5,-3]=>[-3,-5,1,4,-2]
[-2,4,-1,5,3]=>[3,5,-1,4,-2]
[-2,4,-1,5,-3]=>[-3,5,-1,4,-2]
[-2,4,-1,-5,3]=>[3,-5,-1,4,-2]
[-2,4,-1,-5,-3]=>[-3,-5,-1,4,-2]
[-2,-4,1,5,3]=>[3,5,1,-4,-2]
[-2,-4,1,5,-3]=>[-3,5,1,-4,-2]
[-2,-4,1,-5,3]=>[3,-5,1,-4,-2]
[-2,-4,1,-5,-3]=>[-3,-5,1,-4,-2]
[-2,-4,-1,5,3]=>[3,5,-1,-4,-2]
[-2,-4,-1,5,-3]=>[-3,5,-1,-4,-2]
[-2,-4,-1,-5,3]=>[3,-5,-1,-4,-2]
[-2,-4,-1,-5,-3]=>[-3,-5,-1,-4,-2]
[2,4,3,1,5]=>[5,1,3,4,2]
[2,4,3,1,-5]=>[-5,1,3,4,2]
[2,4,3,-1,5]=>[5,-1,3,4,2]
[2,4,3,-1,-5]=>[-5,-1,3,4,2]
[2,4,-3,1,5]=>[5,1,-3,4,2]
[2,4,-3,1,-5]=>[-5,1,-3,4,2]
[2,4,-3,-1,5]=>[5,-1,-3,4,2]
[2,4,-3,-1,-5]=>[-5,-1,-3,4,2]
[2,-4,3,1,5]=>[5,1,3,-4,2]
[2,-4,3,1,-5]=>[-5,1,3,-4,2]
[2,-4,3,-1,5]=>[5,-1,3,-4,2]
[2,-4,3,-1,-5]=>[-5,-1,3,-4,2]
[2,-4,-3,1,5]=>[5,1,-3,-4,2]
[2,-4,-3,1,-5]=>[-5,1,-3,-4,2]
[2,-4,-3,-1,5]=>[5,-1,-3,-4,2]
[2,-4,-3,-1,-5]=>[-5,-1,-3,-4,2]
[-2,4,3,1,5]=>[5,1,3,4,-2]
[-2,4,3,1,-5]=>[-5,1,3,4,-2]
[-2,4,3,-1,5]=>[5,-1,3,4,-2]
[-2,4,3,-1,-5]=>[-5,-1,3,4,-2]
[-2,4,-3,1,5]=>[5,1,-3,4,-2]
[-2,4,-3,1,-5]=>[-5,1,-3,4,-2]
[-2,4,-3,-1,5]=>[5,-1,-3,4,-2]
[-2,4,-3,-1,-5]=>[-5,-1,-3,4,-2]
[-2,-4,3,1,5]=>[5,1,3,-4,-2]
[-2,-4,3,1,-5]=>[-5,1,3,-4,-2]
[-2,-4,3,-1,5]=>[5,-1,3,-4,-2]
[-2,-4,3,-1,-5]=>[-5,-1,3,-4,-2]
[-2,-4,-3,1,5]=>[5,1,-3,-4,-2]
[-2,-4,-3,1,-5]=>[-5,1,-3,-4,-2]
[-2,-4,-3,-1,5]=>[5,-1,-3,-4,-2]
[-2,-4,-3,-1,-5]=>[-5,-1,-3,-4,-2]
[2,4,3,5,1]=>[1,5,3,4,2]
[2,4,3,5,-1]=>[-1,5,3,4,2]
[2,4,3,-5,1]=>[1,-5,3,4,2]
[2,4,3,-5,-1]=>[-1,-5,3,4,2]
[2,4,-3,5,1]=>[1,5,-3,4,2]
[2,4,-3,5,-1]=>[-1,5,-3,4,2]
[2,4,-3,-5,1]=>[1,-5,-3,4,2]
[2,4,-3,-5,-1]=>[-1,-5,-3,4,2]
[2,-4,3,5,1]=>[1,5,3,-4,2]
[2,-4,3,5,-1]=>[-1,5,3,-4,2]
[2,-4,3,-5,1]=>[1,-5,3,-4,2]
[2,-4,3,-5,-1]=>[-1,-5,3,-4,2]
[2,-4,-3,5,1]=>[1,5,-3,-4,2]
[2,-4,-3,5,-1]=>[-1,5,-3,-4,2]
[2,-4,-3,-5,1]=>[1,-5,-3,-4,2]
[2,-4,-3,-5,-1]=>[-1,-5,-3,-4,2]
[-2,4,3,5,1]=>[1,5,3,4,-2]
[-2,4,3,5,-1]=>[-1,5,3,4,-2]
[-2,4,3,-5,1]=>[1,-5,3,4,-2]
[-2,4,3,-5,-1]=>[-1,-5,3,4,-2]
[-2,4,-3,5,1]=>[1,5,-3,4,-2]
[-2,4,-3,5,-1]=>[-1,5,-3,4,-2]
[-2,4,-3,-5,1]=>[1,-5,-3,4,-2]
[-2,4,-3,-5,-1]=>[-1,-5,-3,4,-2]
[-2,-4,3,5,1]=>[1,5,3,-4,-2]
[-2,-4,3,5,-1]=>[-1,5,3,-4,-2]
[-2,-4,3,-5,1]=>[1,-5,3,-4,-2]
[-2,-4,3,-5,-1]=>[-1,-5,3,-4,-2]
[-2,-4,-3,5,1]=>[1,5,-3,-4,-2]
[-2,-4,-3,5,-1]=>[-1,5,-3,-4,-2]
[-2,-4,-3,-5,1]=>[1,-5,-3,-4,-2]
[-2,-4,-3,-5,-1]=>[-1,-5,-3,-4,-2]
[2,4,5,1,3]=>[3,1,5,4,2]
[2,4,5,1,-3]=>[-3,1,5,4,2]
[2,4,5,-1,3]=>[3,-1,5,4,2]
[2,4,5,-1,-3]=>[-3,-1,5,4,2]
[2,4,-5,1,3]=>[3,1,-5,4,2]
[2,4,-5,1,-3]=>[-3,1,-5,4,2]
[2,4,-5,-1,3]=>[3,-1,-5,4,2]
[2,4,-5,-1,-3]=>[-3,-1,-5,4,2]
[2,-4,5,1,3]=>[3,1,5,-4,2]
[2,-4,5,1,-3]=>[-3,1,5,-4,2]
[2,-4,5,-1,3]=>[3,-1,5,-4,2]
[2,-4,5,-1,-3]=>[-3,-1,5,-4,2]
[2,-4,-5,1,3]=>[3,1,-5,-4,2]
[2,-4,-5,1,-3]=>[-3,1,-5,-4,2]
[2,-4,-5,-1,3]=>[3,-1,-5,-4,2]
[2,-4,-5,-1,-3]=>[-3,-1,-5,-4,2]
[-2,4,5,1,3]=>[3,1,5,4,-2]
[-2,4,5,1,-3]=>[-3,1,5,4,-2]
[-2,4,5,-1,3]=>[3,-1,5,4,-2]
[-2,4,5,-1,-3]=>[-3,-1,5,4,-2]
[-2,4,-5,1,3]=>[3,1,-5,4,-2]
[-2,4,-5,1,-3]=>[-3,1,-5,4,-2]
[-2,4,-5,-1,3]=>[3,-1,-5,4,-2]
[-2,4,-5,-1,-3]=>[-3,-1,-5,4,-2]
[-2,-4,5,1,3]=>[3,1,5,-4,-2]
[-2,-4,5,1,-3]=>[-3,1,5,-4,-2]
[-2,-4,5,-1,3]=>[3,-1,5,-4,-2]
[-2,-4,5,-1,-3]=>[-3,-1,5,-4,-2]
[-2,-4,-5,1,3]=>[3,1,-5,-4,-2]
[-2,-4,-5,1,-3]=>[-3,1,-5,-4,-2]
[-2,-4,-5,-1,3]=>[3,-1,-5,-4,-2]
[-2,-4,-5,-1,-3]=>[-3,-1,-5,-4,-2]
[2,4,5,3,1]=>[1,3,5,4,2]
[2,4,5,3,-1]=>[-1,3,5,4,2]
[2,4,5,-3,1]=>[1,-3,5,4,2]
[2,4,5,-3,-1]=>[-1,-3,5,4,2]
[2,4,-5,3,1]=>[1,3,-5,4,2]
[2,4,-5,3,-1]=>[-1,3,-5,4,2]
[2,4,-5,-3,1]=>[1,-3,-5,4,2]
[2,4,-5,-3,-1]=>[-1,-3,-5,4,2]
[2,-4,5,3,1]=>[1,3,5,-4,2]
[2,-4,5,3,-1]=>[-1,3,5,-4,2]
[2,-4,5,-3,1]=>[1,-3,5,-4,2]
[2,-4,5,-3,-1]=>[-1,-3,5,-4,2]
[2,-4,-5,3,1]=>[1,3,-5,-4,2]
[2,-4,-5,3,-1]=>[-1,3,-5,-4,2]
[2,-4,-5,-3,1]=>[1,-3,-5,-4,2]
[2,-4,-5,-3,-1]=>[-1,-3,-5,-4,2]
[-2,4,5,3,1]=>[1,3,5,4,-2]
[-2,4,5,3,-1]=>[-1,3,5,4,-2]
[-2,4,5,-3,1]=>[1,-3,5,4,-2]
[-2,4,5,-3,-1]=>[-1,-3,5,4,-2]
[-2,4,-5,3,1]=>[1,3,-5,4,-2]
[-2,4,-5,3,-1]=>[-1,3,-5,4,-2]
[-2,4,-5,-3,1]=>[1,-3,-5,4,-2]
[-2,4,-5,-3,-1]=>[-1,-3,-5,4,-2]
[-2,-4,5,3,1]=>[1,3,5,-4,-2]
[-2,-4,5,3,-1]=>[-1,3,5,-4,-2]
[-2,-4,5,-3,1]=>[1,-3,5,-4,-2]
[-2,-4,5,-3,-1]=>[-1,-3,5,-4,-2]
[-2,-4,-5,3,1]=>[1,3,-5,-4,-2]
[-2,-4,-5,3,-1]=>[-1,3,-5,-4,-2]
[-2,-4,-5,-3,1]=>[1,-3,-5,-4,-2]
[-2,-4,-5,-3,-1]=>[-1,-3,-5,-4,-2]
[2,5,1,3,4]=>[4,3,1,5,2]
[2,5,1,3,-4]=>[-4,3,1,5,2]
[2,5,1,-3,4]=>[4,-3,1,5,2]
[2,5,1,-3,-4]=>[-4,-3,1,5,2]
[2,5,-1,3,4]=>[4,3,-1,5,2]
[2,5,-1,3,-4]=>[-4,3,-1,5,2]
[2,5,-1,-3,4]=>[4,-3,-1,5,2]
[2,5,-1,-3,-4]=>[-4,-3,-1,5,2]
[2,-5,1,3,4]=>[4,3,1,-5,2]
[2,-5,1,3,-4]=>[-4,3,1,-5,2]
[2,-5,1,-3,4]=>[4,-3,1,-5,2]
[2,-5,1,-3,-4]=>[-4,-3,1,-5,2]
[2,-5,-1,3,4]=>[4,3,-1,-5,2]
[2,-5,-1,3,-4]=>[-4,3,-1,-5,2]
[2,-5,-1,-3,4]=>[4,-3,-1,-5,2]
[2,-5,-1,-3,-4]=>[-4,-3,-1,-5,2]
[-2,5,1,3,4]=>[4,3,1,5,-2]
[-2,5,1,3,-4]=>[-4,3,1,5,-2]
[-2,5,1,-3,4]=>[4,-3,1,5,-2]
[-2,5,1,-3,-4]=>[-4,-3,1,5,-2]
[-2,5,-1,3,4]=>[4,3,-1,5,-2]
[-2,5,-1,3,-4]=>[-4,3,-1,5,-2]
[-2,5,-1,-3,4]=>[4,-3,-1,5,-2]
[-2,5,-1,-3,-4]=>[-4,-3,-1,5,-2]
[-2,-5,1,3,4]=>[4,3,1,-5,-2]
[-2,-5,1,3,-4]=>[-4,3,1,-5,-2]
[-2,-5,1,-3,4]=>[4,-3,1,-5,-2]
[-2,-5,1,-3,-4]=>[-4,-3,1,-5,-2]
[-2,-5,-1,3,4]=>[4,3,-1,-5,-2]
[-2,-5,-1,3,-4]=>[-4,3,-1,-5,-2]
[-2,-5,-1,-3,4]=>[4,-3,-1,-5,-2]
[-2,-5,-1,-3,-4]=>[-4,-3,-1,-5,-2]
[2,5,1,4,3]=>[3,4,1,5,2]
[2,5,1,4,-3]=>[-3,4,1,5,2]
[2,5,1,-4,3]=>[3,-4,1,5,2]
[2,5,1,-4,-3]=>[-3,-4,1,5,2]
[2,5,-1,4,3]=>[3,4,-1,5,2]
[2,5,-1,4,-3]=>[-3,4,-1,5,2]
[2,5,-1,-4,3]=>[3,-4,-1,5,2]
[2,5,-1,-4,-3]=>[-3,-4,-1,5,2]
[2,-5,1,4,3]=>[3,4,1,-5,2]
[2,-5,1,4,-3]=>[-3,4,1,-5,2]
[2,-5,1,-4,3]=>[3,-4,1,-5,2]
[2,-5,1,-4,-3]=>[-3,-4,1,-5,2]
[2,-5,-1,4,3]=>[3,4,-1,-5,2]
[2,-5,-1,4,-3]=>[-3,4,-1,-5,2]
[2,-5,-1,-4,3]=>[3,-4,-1,-5,2]
[2,-5,-1,-4,-3]=>[-3,-4,-1,-5,2]
[-2,5,1,4,3]=>[3,4,1,5,-2]
[-2,5,1,4,-3]=>[-3,4,1,5,-2]
[-2,5,1,-4,3]=>[3,-4,1,5,-2]
[-2,5,1,-4,-3]=>[-3,-4,1,5,-2]
[-2,5,-1,4,3]=>[3,4,-1,5,-2]
[-2,5,-1,4,-3]=>[-3,4,-1,5,-2]
[-2,5,-1,-4,3]=>[3,-4,-1,5,-2]
[-2,5,-1,-4,-3]=>[-3,-4,-1,5,-2]
[-2,-5,1,4,3]=>[3,4,1,-5,-2]
[-2,-5,1,4,-3]=>[-3,4,1,-5,-2]
[-2,-5,1,-4,3]=>[3,-4,1,-5,-2]
[-2,-5,1,-4,-3]=>[-3,-4,1,-5,-2]
[-2,-5,-1,4,3]=>[3,4,-1,-5,-2]
[-2,-5,-1,4,-3]=>[-3,4,-1,-5,-2]
[-2,-5,-1,-4,3]=>[3,-4,-1,-5,-2]
[-2,-5,-1,-4,-3]=>[-3,-4,-1,-5,-2]
[2,5,3,1,4]=>[4,1,3,5,2]
[2,5,3,1,-4]=>[-4,1,3,5,2]
[2,5,3,-1,4]=>[4,-1,3,5,2]
[2,5,3,-1,-4]=>[-4,-1,3,5,2]
[2,5,-3,1,4]=>[4,1,-3,5,2]
[2,5,-3,1,-4]=>[-4,1,-3,5,2]
[2,5,-3,-1,4]=>[4,-1,-3,5,2]
[2,5,-3,-1,-4]=>[-4,-1,-3,5,2]
[2,-5,3,1,4]=>[4,1,3,-5,2]
[2,-5,3,1,-4]=>[-4,1,3,-5,2]
[2,-5,3,-1,4]=>[4,-1,3,-5,2]
[2,-5,3,-1,-4]=>[-4,-1,3,-5,2]
[2,-5,-3,1,4]=>[4,1,-3,-5,2]
[2,-5,-3,1,-4]=>[-4,1,-3,-5,2]
[2,-5,-3,-1,4]=>[4,-1,-3,-5,2]
[2,-5,-3,-1,-4]=>[-4,-1,-3,-5,2]
[-2,5,3,1,4]=>[4,1,3,5,-2]
[-2,5,3,1,-4]=>[-4,1,3,5,-2]
[-2,5,3,-1,4]=>[4,-1,3,5,-2]
[-2,5,3,-1,-4]=>[-4,-1,3,5,-2]
[-2,5,-3,1,4]=>[4,1,-3,5,-2]
[-2,5,-3,1,-4]=>[-4,1,-3,5,-2]
[-2,5,-3,-1,4]=>[4,-1,-3,5,-2]
[-2,5,-3,-1,-4]=>[-4,-1,-3,5,-2]
[-2,-5,3,1,4]=>[4,1,3,-5,-2]
[-2,-5,3,1,-4]=>[-4,1,3,-5,-2]
[-2,-5,3,-1,4]=>[4,-1,3,-5,-2]
[-2,-5,3,-1,-4]=>[-4,-1,3,-5,-2]
[-2,-5,-3,1,4]=>[4,1,-3,-5,-2]
[-2,-5,-3,1,-4]=>[-4,1,-3,-5,-2]
[-2,-5,-3,-1,4]=>[4,-1,-3,-5,-2]
[-2,-5,-3,-1,-4]=>[-4,-1,-3,-5,-2]
[2,5,3,4,1]=>[1,4,3,5,2]
[2,5,3,4,-1]=>[-1,4,3,5,2]
[2,5,3,-4,1]=>[1,-4,3,5,2]
[2,5,3,-4,-1]=>[-1,-4,3,5,2]
[2,5,-3,4,1]=>[1,4,-3,5,2]
[2,5,-3,4,-1]=>[-1,4,-3,5,2]
[2,5,-3,-4,1]=>[1,-4,-3,5,2]
[2,5,-3,-4,-1]=>[-1,-4,-3,5,2]
[2,-5,3,4,1]=>[1,4,3,-5,2]
[2,-5,3,4,-1]=>[-1,4,3,-5,2]
[2,-5,3,-4,1]=>[1,-4,3,-5,2]
[2,-5,3,-4,-1]=>[-1,-4,3,-5,2]
[2,-5,-3,4,1]=>[1,4,-3,-5,2]
[2,-5,-3,4,-1]=>[-1,4,-3,-5,2]
[2,-5,-3,-4,1]=>[1,-4,-3,-5,2]
[2,-5,-3,-4,-1]=>[-1,-4,-3,-5,2]
[-2,5,3,4,1]=>[1,4,3,5,-2]
[-2,5,3,4,-1]=>[-1,4,3,5,-2]
[-2,5,3,-4,1]=>[1,-4,3,5,-2]
[-2,5,3,-4,-1]=>[-1,-4,3,5,-2]
[-2,5,-3,4,1]=>[1,4,-3,5,-2]
[-2,5,-3,4,-1]=>[-1,4,-3,5,-2]
[-2,5,-3,-4,1]=>[1,-4,-3,5,-2]
[-2,5,-3,-4,-1]=>[-1,-4,-3,5,-2]
[-2,-5,3,4,1]=>[1,4,3,-5,-2]
[-2,-5,3,4,-1]=>[-1,4,3,-5,-2]
[-2,-5,3,-4,1]=>[1,-4,3,-5,-2]
[-2,-5,3,-4,-1]=>[-1,-4,3,-5,-2]
[-2,-5,-3,4,1]=>[1,4,-3,-5,-2]
[-2,-5,-3,4,-1]=>[-1,4,-3,-5,-2]
[-2,-5,-3,-4,1]=>[1,-4,-3,-5,-2]
[-2,-5,-3,-4,-1]=>[-1,-4,-3,-5,-2]
[2,5,4,1,3]=>[3,1,4,5,2]
[2,5,4,1,-3]=>[-3,1,4,5,2]
[2,5,4,-1,3]=>[3,-1,4,5,2]
[2,5,4,-1,-3]=>[-3,-1,4,5,2]
[2,5,-4,1,3]=>[3,1,-4,5,2]
[2,5,-4,1,-3]=>[-3,1,-4,5,2]
[2,5,-4,-1,3]=>[3,-1,-4,5,2]
[2,5,-4,-1,-3]=>[-3,-1,-4,5,2]
[2,-5,4,1,3]=>[3,1,4,-5,2]
[2,-5,4,1,-3]=>[-3,1,4,-5,2]
[2,-5,4,-1,3]=>[3,-1,4,-5,2]
[2,-5,4,-1,-3]=>[-3,-1,4,-5,2]
[2,-5,-4,1,3]=>[3,1,-4,-5,2]
[2,-5,-4,1,-3]=>[-3,1,-4,-5,2]
[2,-5,-4,-1,3]=>[3,-1,-4,-5,2]
[2,-5,-4,-1,-3]=>[-3,-1,-4,-5,2]
[-2,5,4,1,3]=>[3,1,4,5,-2]
[-2,5,4,1,-3]=>[-3,1,4,5,-2]
[-2,5,4,-1,3]=>[3,-1,4,5,-2]
[-2,5,4,-1,-3]=>[-3,-1,4,5,-2]
[-2,5,-4,1,3]=>[3,1,-4,5,-2]
[-2,5,-4,1,-3]=>[-3,1,-4,5,-2]
[-2,5,-4,-1,3]=>[3,-1,-4,5,-2]
[-2,5,-4,-1,-3]=>[-3,-1,-4,5,-2]
[-2,-5,4,1,3]=>[3,1,4,-5,-2]
[-2,-5,4,1,-3]=>[-3,1,4,-5,-2]
[-2,-5,4,-1,3]=>[3,-1,4,-5,-2]
[-2,-5,4,-1,-3]=>[-3,-1,4,-5,-2]
[-2,-5,-4,1,3]=>[3,1,-4,-5,-2]
[-2,-5,-4,1,-3]=>[-3,1,-4,-5,-2]
[-2,-5,-4,-1,3]=>[3,-1,-4,-5,-2]
[-2,-5,-4,-1,-3]=>[-3,-1,-4,-5,-2]
[2,5,4,3,1]=>[1,3,4,5,2]
[2,5,4,3,-1]=>[-1,3,4,5,2]
[2,5,4,-3,1]=>[1,-3,4,5,2]
[2,5,4,-3,-1]=>[-1,-3,4,5,2]
[2,5,-4,3,1]=>[1,3,-4,5,2]
[2,5,-4,3,-1]=>[-1,3,-4,5,2]
[2,5,-4,-3,1]=>[1,-3,-4,5,2]
[2,5,-4,-3,-1]=>[-1,-3,-4,5,2]
[2,-5,4,3,1]=>[1,3,4,-5,2]
[2,-5,4,3,-1]=>[-1,3,4,-5,2]
[2,-5,4,-3,1]=>[1,-3,4,-5,2]
[2,-5,4,-3,-1]=>[-1,-3,4,-5,2]
[2,-5,-4,3,1]=>[1,3,-4,-5,2]
[2,-5,-4,3,-1]=>[-1,3,-4,-5,2]
[2,-5,-4,-3,1]=>[1,-3,-4,-5,2]
[2,-5,-4,-3,-1]=>[-1,-3,-4,-5,2]
[-2,5,4,3,1]=>[1,3,4,5,-2]
[-2,5,4,3,-1]=>[-1,3,4,5,-2]
[-2,5,4,-3,1]=>[1,-3,4,5,-2]
[-2,5,4,-3,-1]=>[-1,-3,4,5,-2]
[-2,5,-4,3,1]=>[1,3,-4,5,-2]
[-2,5,-4,3,-1]=>[-1,3,-4,5,-2]
[-2,5,-4,-3,1]=>[1,-3,-4,5,-2]
[-2,5,-4,-3,-1]=>[-1,-3,-4,5,-2]
[-2,-5,4,3,1]=>[1,3,4,-5,-2]
[-2,-5,4,3,-1]=>[-1,3,4,-5,-2]
[-2,-5,4,-3,1]=>[1,-3,4,-5,-2]
[-2,-5,4,-3,-1]=>[-1,-3,4,-5,-2]
[-2,-5,-4,3,1]=>[1,3,-4,-5,-2]
[-2,-5,-4,3,-1]=>[-1,3,-4,-5,-2]
[-2,-5,-4,-3,1]=>[1,-3,-4,-5,-2]
[-2,-5,-4,-3,-1]=>[-1,-3,-4,-5,-2]
[3,1,2,4,5]=>[5,4,2,1,3]
[3,1,2,4,-5]=>[-5,4,2,1,3]
[3,1,2,-4,5]=>[5,-4,2,1,3]
[3,1,2,-4,-5]=>[-5,-4,2,1,3]
[3,1,-2,4,5]=>[5,4,-2,1,3]
[3,1,-2,4,-5]=>[-5,4,-2,1,3]
[3,1,-2,-4,5]=>[5,-4,-2,1,3]
[3,1,-2,-4,-5]=>[-5,-4,-2,1,3]
[3,-1,2,4,5]=>[5,4,2,-1,3]
[3,-1,2,4,-5]=>[-5,4,2,-1,3]
[3,-1,2,-4,5]=>[5,-4,2,-1,3]
[3,-1,2,-4,-5]=>[-5,-4,2,-1,3]
[3,-1,-2,4,5]=>[5,4,-2,-1,3]
[3,-1,-2,4,-5]=>[-5,4,-2,-1,3]
[3,-1,-2,-4,5]=>[5,-4,-2,-1,3]
[3,-1,-2,-4,-5]=>[-5,-4,-2,-1,3]
[-3,1,2,4,5]=>[5,4,2,1,-3]
[-3,1,2,4,-5]=>[-5,4,2,1,-3]
[-3,1,2,-4,5]=>[5,-4,2,1,-3]
[-3,1,2,-4,-5]=>[-5,-4,2,1,-3]
[-3,1,-2,4,5]=>[5,4,-2,1,-3]
[-3,1,-2,4,-5]=>[-5,4,-2,1,-3]
[-3,1,-2,-4,5]=>[5,-4,-2,1,-3]
[-3,1,-2,-4,-5]=>[-5,-4,-2,1,-3]
[-3,-1,2,4,5]=>[5,4,2,-1,-3]
[-3,-1,2,4,-5]=>[-5,4,2,-1,-3]
[-3,-1,2,-4,5]=>[5,-4,2,-1,-3]
[-3,-1,2,-4,-5]=>[-5,-4,2,-1,-3]
[-3,-1,-2,4,5]=>[5,4,-2,-1,-3]
[-3,-1,-2,4,-5]=>[-5,4,-2,-1,-3]
[-3,-1,-2,-4,5]=>[5,-4,-2,-1,-3]
[-3,-1,-2,-4,-5]=>[-5,-4,-2,-1,-3]
[3,1,2,5,4]=>[4,5,2,1,3]
[3,1,2,5,-4]=>[-4,5,2,1,3]
[3,1,2,-5,4]=>[4,-5,2,1,3]
[3,1,2,-5,-4]=>[-4,-5,2,1,3]
[3,1,-2,5,4]=>[4,5,-2,1,3]
[3,1,-2,5,-4]=>[-4,5,-2,1,3]
[3,1,-2,-5,4]=>[4,-5,-2,1,3]
[3,1,-2,-5,-4]=>[-4,-5,-2,1,3]
[3,-1,2,5,4]=>[4,5,2,-1,3]
[3,-1,2,5,-4]=>[-4,5,2,-1,3]
[3,-1,2,-5,4]=>[4,-5,2,-1,3]
[3,-1,2,-5,-4]=>[-4,-5,2,-1,3]
[3,-1,-2,5,4]=>[4,5,-2,-1,3]
[3,-1,-2,5,-4]=>[-4,5,-2,-1,3]
[3,-1,-2,-5,4]=>[4,-5,-2,-1,3]
[3,-1,-2,-5,-4]=>[-4,-5,-2,-1,3]
[-3,1,2,5,4]=>[4,5,2,1,-3]
[-3,1,2,5,-4]=>[-4,5,2,1,-3]
[-3,1,2,-5,4]=>[4,-5,2,1,-3]
[-3,1,2,-5,-4]=>[-4,-5,2,1,-3]
[-3,1,-2,5,4]=>[4,5,-2,1,-3]
[-3,1,-2,5,-4]=>[-4,5,-2,1,-3]
[-3,1,-2,-5,4]=>[4,-5,-2,1,-3]
[-3,1,-2,-5,-4]=>[-4,-5,-2,1,-3]
[-3,-1,2,5,4]=>[4,5,2,-1,-3]
[-3,-1,2,5,-4]=>[-4,5,2,-1,-3]
[-3,-1,2,-5,4]=>[4,-5,2,-1,-3]
[-3,-1,2,-5,-4]=>[-4,-5,2,-1,-3]
[-3,-1,-2,5,4]=>[4,5,-2,-1,-3]
[-3,-1,-2,5,-4]=>[-4,5,-2,-1,-3]
[-3,-1,-2,-5,4]=>[4,-5,-2,-1,-3]
[-3,-1,-2,-5,-4]=>[-4,-5,-2,-1,-3]
[3,1,4,2,5]=>[5,2,4,1,3]
[3,1,4,2,-5]=>[-5,2,4,1,3]
[3,1,4,-2,5]=>[5,-2,4,1,3]
[3,1,4,-2,-5]=>[-5,-2,4,1,3]
[3,1,-4,2,5]=>[5,2,-4,1,3]
[3,1,-4,2,-5]=>[-5,2,-4,1,3]
[3,1,-4,-2,5]=>[5,-2,-4,1,3]
[3,1,-4,-2,-5]=>[-5,-2,-4,1,3]
[3,-1,4,2,5]=>[5,2,4,-1,3]
[3,-1,4,2,-5]=>[-5,2,4,-1,3]
[3,-1,4,-2,5]=>[5,-2,4,-1,3]
[3,-1,4,-2,-5]=>[-5,-2,4,-1,3]
[3,-1,-4,2,5]=>[5,2,-4,-1,3]
[3,-1,-4,2,-5]=>[-5,2,-4,-1,3]
[3,-1,-4,-2,5]=>[5,-2,-4,-1,3]
[3,-1,-4,-2,-5]=>[-5,-2,-4,-1,3]
[-3,1,4,2,5]=>[5,2,4,1,-3]
[-3,1,4,2,-5]=>[-5,2,4,1,-3]
[-3,1,4,-2,5]=>[5,-2,4,1,-3]
[-3,1,4,-2,-5]=>[-5,-2,4,1,-3]
[-3,1,-4,2,5]=>[5,2,-4,1,-3]
[-3,1,-4,2,-5]=>[-5,2,-4,1,-3]
[-3,1,-4,-2,5]=>[5,-2,-4,1,-3]
[-3,1,-4,-2,-5]=>[-5,-2,-4,1,-3]
[-3,-1,4,2,5]=>[5,2,4,-1,-3]
[-3,-1,4,2,-5]=>[-5,2,4,-1,-3]
[-3,-1,4,-2,5]=>[5,-2,4,-1,-3]
[-3,-1,4,-2,-5]=>[-5,-2,4,-1,-3]
[-3,-1,-4,2,5]=>[5,2,-4,-1,-3]
[-3,-1,-4,2,-5]=>[-5,2,-4,-1,-3]
[-3,-1,-4,-2,5]=>[5,-2,-4,-1,-3]
[-3,-1,-4,-2,-5]=>[-5,-2,-4,-1,-3]
[3,1,4,5,2]=>[2,5,4,1,3]
[3,1,4,5,-2]=>[-2,5,4,1,3]
[3,1,4,-5,2]=>[2,-5,4,1,3]
[3,1,4,-5,-2]=>[-2,-5,4,1,3]
[3,1,-4,5,2]=>[2,5,-4,1,3]
[3,1,-4,5,-2]=>[-2,5,-4,1,3]
[3,1,-4,-5,2]=>[2,-5,-4,1,3]
[3,1,-4,-5,-2]=>[-2,-5,-4,1,3]
[3,-1,4,5,2]=>[2,5,4,-1,3]
[3,-1,4,5,-2]=>[-2,5,4,-1,3]
[3,-1,4,-5,2]=>[2,-5,4,-1,3]
[3,-1,4,-5,-2]=>[-2,-5,4,-1,3]
[3,-1,-4,5,2]=>[2,5,-4,-1,3]
[3,-1,-4,5,-2]=>[-2,5,-4,-1,3]
[3,-1,-4,-5,2]=>[2,-5,-4,-1,3]
[3,-1,-4,-5,-2]=>[-2,-5,-4,-1,3]
[-3,1,4,5,2]=>[2,5,4,1,-3]
[-3,1,4,5,-2]=>[-2,5,4,1,-3]
[-3,1,4,-5,2]=>[2,-5,4,1,-3]
[-3,1,4,-5,-2]=>[-2,-5,4,1,-3]
[-3,1,-4,5,2]=>[2,5,-4,1,-3]
[-3,1,-4,5,-2]=>[-2,5,-4,1,-3]
[-3,1,-4,-5,2]=>[2,-5,-4,1,-3]
[-3,1,-4,-5,-2]=>[-2,-5,-4,1,-3]
[-3,-1,4,5,2]=>[2,5,4,-1,-3]
[-3,-1,4,5,-2]=>[-2,5,4,-1,-3]
[-3,-1,4,-5,2]=>[2,-5,4,-1,-3]
[-3,-1,4,-5,-2]=>[-2,-5,4,-1,-3]
[-3,-1,-4,5,2]=>[2,5,-4,-1,-3]
[-3,-1,-4,5,-2]=>[-2,5,-4,-1,-3]
[-3,-1,-4,-5,2]=>[2,-5,-4,-1,-3]
[-3,-1,-4,-5,-2]=>[-2,-5,-4,-1,-3]
[3,1,5,2,4]=>[4,2,5,1,3]
[3,1,5,2,-4]=>[-4,2,5,1,3]
[3,1,5,-2,4]=>[4,-2,5,1,3]
[3,1,5,-2,-4]=>[-4,-2,5,1,3]
[3,1,-5,2,4]=>[4,2,-5,1,3]
[3,1,-5,2,-4]=>[-4,2,-5,1,3]
[3,1,-5,-2,4]=>[4,-2,-5,1,3]
[3,1,-5,-2,-4]=>[-4,-2,-5,1,3]
[3,-1,5,2,4]=>[4,2,5,-1,3]
[3,-1,5,2,-4]=>[-4,2,5,-1,3]
[3,-1,5,-2,4]=>[4,-2,5,-1,3]
[3,-1,5,-2,-4]=>[-4,-2,5,-1,3]
[3,-1,-5,2,4]=>[4,2,-5,-1,3]
[3,-1,-5,2,-4]=>[-4,2,-5,-1,3]
[3,-1,-5,-2,4]=>[4,-2,-5,-1,3]
[3,-1,-5,-2,-4]=>[-4,-2,-5,-1,3]
[-3,1,5,2,4]=>[4,2,5,1,-3]
[-3,1,5,2,-4]=>[-4,2,5,1,-3]
[-3,1,5,-2,4]=>[4,-2,5,1,-3]
[-3,1,5,-2,-4]=>[-4,-2,5,1,-3]
[-3,1,-5,2,4]=>[4,2,-5,1,-3]
[-3,1,-5,2,-4]=>[-4,2,-5,1,-3]
[-3,1,-5,-2,4]=>[4,-2,-5,1,-3]
[-3,1,-5,-2,-4]=>[-4,-2,-5,1,-3]
[-3,-1,5,2,4]=>[4,2,5,-1,-3]
[-3,-1,5,2,-4]=>[-4,2,5,-1,-3]
[-3,-1,5,-2,4]=>[4,-2,5,-1,-3]
[-3,-1,5,-2,-4]=>[-4,-2,5,-1,-3]
[-3,-1,-5,2,4]=>[4,2,-5,-1,-3]
[-3,-1,-5,2,-4]=>[-4,2,-5,-1,-3]
[-3,-1,-5,-2,4]=>[4,-2,-5,-1,-3]
[-3,-1,-5,-2,-4]=>[-4,-2,-5,-1,-3]
[3,1,5,4,2]=>[2,4,5,1,3]
[3,1,5,4,-2]=>[-2,4,5,1,3]
[3,1,5,-4,2]=>[2,-4,5,1,3]
[3,1,5,-4,-2]=>[-2,-4,5,1,3]
[3,1,-5,4,2]=>[2,4,-5,1,3]
[3,1,-5,4,-2]=>[-2,4,-5,1,3]
[3,1,-5,-4,2]=>[2,-4,-5,1,3]
[3,1,-5,-4,-2]=>[-2,-4,-5,1,3]
[3,-1,5,4,2]=>[2,4,5,-1,3]
[3,-1,5,4,-2]=>[-2,4,5,-1,3]
[3,-1,5,-4,2]=>[2,-4,5,-1,3]
[3,-1,5,-4,-2]=>[-2,-4,5,-1,3]
[3,-1,-5,4,2]=>[2,4,-5,-1,3]
[3,-1,-5,4,-2]=>[-2,4,-5,-1,3]
[3,-1,-5,-4,2]=>[2,-4,-5,-1,3]
[3,-1,-5,-4,-2]=>[-2,-4,-5,-1,3]
[-3,1,5,4,2]=>[2,4,5,1,-3]
[-3,1,5,4,-2]=>[-2,4,5,1,-3]
[-3,1,5,-4,2]=>[2,-4,5,1,-3]
[-3,1,5,-4,-2]=>[-2,-4,5,1,-3]
[-3,1,-5,4,2]=>[2,4,-5,1,-3]
[-3,1,-5,4,-2]=>[-2,4,-5,1,-3]
[-3,1,-5,-4,2]=>[2,-4,-5,1,-3]
[-3,1,-5,-4,-2]=>[-2,-4,-5,1,-3]
[-3,-1,5,4,2]=>[2,4,5,-1,-3]
[-3,-1,5,4,-2]=>[-2,4,5,-1,-3]
[-3,-1,5,-4,2]=>[2,-4,5,-1,-3]
[-3,-1,5,-4,-2]=>[-2,-4,5,-1,-3]
[-3,-1,-5,4,2]=>[2,4,-5,-1,-3]
[-3,-1,-5,4,-2]=>[-2,4,-5,-1,-3]
[-3,-1,-5,-4,2]=>[2,-4,-5,-1,-3]
[-3,-1,-5,-4,-2]=>[-2,-4,-5,-1,-3]
[3,2,1,4,5]=>[5,4,1,2,3]
[3,2,1,4,-5]=>[-5,4,1,2,3]
[3,2,1,-4,5]=>[5,-4,1,2,3]
[3,2,1,-4,-5]=>[-5,-4,1,2,3]
[3,2,-1,4,5]=>[5,4,-1,2,3]
[3,2,-1,4,-5]=>[-5,4,-1,2,3]
[3,2,-1,-4,5]=>[5,-4,-1,2,3]
[3,2,-1,-4,-5]=>[-5,-4,-1,2,3]
[3,-2,1,4,5]=>[5,4,1,-2,3]
[3,-2,1,4,-5]=>[-5,4,1,-2,3]
[3,-2,1,-4,5]=>[5,-4,1,-2,3]
[3,-2,1,-4,-5]=>[-5,-4,1,-2,3]
[3,-2,-1,4,5]=>[5,4,-1,-2,3]
[3,-2,-1,4,-5]=>[-5,4,-1,-2,3]
[3,-2,-1,-4,5]=>[5,-4,-1,-2,3]
[3,-2,-1,-4,-5]=>[-5,-4,-1,-2,3]
[-3,2,1,4,5]=>[5,4,1,2,-3]
[-3,2,1,4,-5]=>[-5,4,1,2,-3]
[-3,2,1,-4,5]=>[5,-4,1,2,-3]
[-3,2,1,-4,-5]=>[-5,-4,1,2,-3]
[-3,2,-1,4,5]=>[5,4,-1,2,-3]
[-3,2,-1,4,-5]=>[-5,4,-1,2,-3]
[-3,2,-1,-4,5]=>[5,-4,-1,2,-3]
[-3,2,-1,-4,-5]=>[-5,-4,-1,2,-3]
[-3,-2,1,4,5]=>[5,4,1,-2,-3]
[-3,-2,1,4,-5]=>[-5,4,1,-2,-3]
[-3,-2,1,-4,5]=>[5,-4,1,-2,-3]
[-3,-2,1,-4,-5]=>[-5,-4,1,-2,-3]
[-3,-2,-1,4,5]=>[5,4,-1,-2,-3]
[-3,-2,-1,4,-5]=>[-5,4,-1,-2,-3]
[-3,-2,-1,-4,5]=>[5,-4,-1,-2,-3]
[-3,-2,-1,-4,-5]=>[-5,-4,-1,-2,-3]
[3,2,1,5,4]=>[4,5,1,2,3]
[3,2,1,5,-4]=>[-4,5,1,2,3]
[3,2,1,-5,4]=>[4,-5,1,2,3]
[3,2,1,-5,-4]=>[-4,-5,1,2,3]
[3,2,-1,5,4]=>[4,5,-1,2,3]
[3,2,-1,5,-4]=>[-4,5,-1,2,3]
[3,2,-1,-5,4]=>[4,-5,-1,2,3]
[3,2,-1,-5,-4]=>[-4,-5,-1,2,3]
[3,-2,1,5,4]=>[4,5,1,-2,3]
[3,-2,1,5,-4]=>[-4,5,1,-2,3]
[3,-2,1,-5,4]=>[4,-5,1,-2,3]
[3,-2,1,-5,-4]=>[-4,-5,1,-2,3]
[3,-2,-1,5,4]=>[4,5,-1,-2,3]
[3,-2,-1,5,-4]=>[-4,5,-1,-2,3]
[3,-2,-1,-5,4]=>[4,-5,-1,-2,3]
[3,-2,-1,-5,-4]=>[-4,-5,-1,-2,3]
[-3,2,1,5,4]=>[4,5,1,2,-3]
[-3,2,1,5,-4]=>[-4,5,1,2,-3]
[-3,2,1,-5,4]=>[4,-5,1,2,-3]
[-3,2,1,-5,-4]=>[-4,-5,1,2,-3]
[-3,2,-1,5,4]=>[4,5,-1,2,-3]
[-3,2,-1,5,-4]=>[-4,5,-1,2,-3]
[-3,2,-1,-5,4]=>[4,-5,-1,2,-3]
[-3,2,-1,-5,-4]=>[-4,-5,-1,2,-3]
[-3,-2,1,5,4]=>[4,5,1,-2,-3]
[-3,-2,1,5,-4]=>[-4,5,1,-2,-3]
[-3,-2,1,-5,4]=>[4,-5,1,-2,-3]
[-3,-2,1,-5,-4]=>[-4,-5,1,-2,-3]
[-3,-2,-1,5,4]=>[4,5,-1,-2,-3]
[-3,-2,-1,5,-4]=>[-4,5,-1,-2,-3]
[-3,-2,-1,-5,4]=>[4,-5,-1,-2,-3]
[-3,-2,-1,-5,-4]=>[-4,-5,-1,-2,-3]
[3,2,4,1,5]=>[5,1,4,2,3]
[3,2,4,1,-5]=>[-5,1,4,2,3]
[3,2,4,-1,5]=>[5,-1,4,2,3]
[3,2,4,-1,-5]=>[-5,-1,4,2,3]
[3,2,-4,1,5]=>[5,1,-4,2,3]
[3,2,-4,1,-5]=>[-5,1,-4,2,3]
[3,2,-4,-1,5]=>[5,-1,-4,2,3]
[3,2,-4,-1,-5]=>[-5,-1,-4,2,3]
[3,-2,4,1,5]=>[5,1,4,-2,3]
[3,-2,4,1,-5]=>[-5,1,4,-2,3]
[3,-2,4,-1,5]=>[5,-1,4,-2,3]
[3,-2,4,-1,-5]=>[-5,-1,4,-2,3]
[3,-2,-4,1,5]=>[5,1,-4,-2,3]
[3,-2,-4,1,-5]=>[-5,1,-4,-2,3]
[3,-2,-4,-1,5]=>[5,-1,-4,-2,3]
[3,-2,-4,-1,-5]=>[-5,-1,-4,-2,3]
[-3,2,4,1,5]=>[5,1,4,2,-3]
[-3,2,4,1,-5]=>[-5,1,4,2,-3]
[-3,2,4,-1,5]=>[5,-1,4,2,-3]
[-3,2,4,-1,-5]=>[-5,-1,4,2,-3]
[-3,2,-4,1,5]=>[5,1,-4,2,-3]
[-3,2,-4,1,-5]=>[-5,1,-4,2,-3]
[-3,2,-4,-1,5]=>[5,-1,-4,2,-3]
[-3,2,-4,-1,-5]=>[-5,-1,-4,2,-3]
[-3,-2,4,1,5]=>[5,1,4,-2,-3]
[-3,-2,4,1,-5]=>[-5,1,4,-2,-3]
[-3,-2,4,-1,5]=>[5,-1,4,-2,-3]
[-3,-2,4,-1,-5]=>[-5,-1,4,-2,-3]
[-3,-2,-4,1,5]=>[5,1,-4,-2,-3]
[-3,-2,-4,1,-5]=>[-5,1,-4,-2,-3]
[-3,-2,-4,-1,5]=>[5,-1,-4,-2,-3]
[-3,-2,-4,-1,-5]=>[-5,-1,-4,-2,-3]
[3,2,4,5,1]=>[1,5,4,2,3]
[3,2,4,5,-1]=>[-1,5,4,2,3]
[3,2,4,-5,1]=>[1,-5,4,2,3]
[3,2,4,-5,-1]=>[-1,-5,4,2,3]
[3,2,-4,5,1]=>[1,5,-4,2,3]
[3,2,-4,5,-1]=>[-1,5,-4,2,3]
[3,2,-4,-5,1]=>[1,-5,-4,2,3]
[3,2,-4,-5,-1]=>[-1,-5,-4,2,3]
[3,-2,4,5,1]=>[1,5,4,-2,3]
[3,-2,4,5,-1]=>[-1,5,4,-2,3]
[3,-2,4,-5,1]=>[1,-5,4,-2,3]
[3,-2,4,-5,-1]=>[-1,-5,4,-2,3]
[3,-2,-4,5,1]=>[1,5,-4,-2,3]
[3,-2,-4,5,-1]=>[-1,5,-4,-2,3]
[3,-2,-4,-5,1]=>[1,-5,-4,-2,3]
[3,-2,-4,-5,-1]=>[-1,-5,-4,-2,3]
[-3,2,4,5,1]=>[1,5,4,2,-3]
[-3,2,4,5,-1]=>[-1,5,4,2,-3]
[-3,2,4,-5,1]=>[1,-5,4,2,-3]
[-3,2,4,-5,-1]=>[-1,-5,4,2,-3]
[-3,2,-4,5,1]=>[1,5,-4,2,-3]
[-3,2,-4,5,-1]=>[-1,5,-4,2,-3]
[-3,2,-4,-5,1]=>[1,-5,-4,2,-3]
[-3,2,-4,-5,-1]=>[-1,-5,-4,2,-3]
[-3,-2,4,5,1]=>[1,5,4,-2,-3]
[-3,-2,4,5,-1]=>[-1,5,4,-2,-3]
[-3,-2,4,-5,1]=>[1,-5,4,-2,-3]
[-3,-2,4,-5,-1]=>[-1,-5,4,-2,-3]
[-3,-2,-4,5,1]=>[1,5,-4,-2,-3]
[-3,-2,-4,5,-1]=>[-1,5,-4,-2,-3]
[-3,-2,-4,-5,1]=>[1,-5,-4,-2,-3]
[-3,-2,-4,-5,-1]=>[-1,-5,-4,-2,-3]
[3,2,5,1,4]=>[4,1,5,2,3]
[3,2,5,1,-4]=>[-4,1,5,2,3]
[3,2,5,-1,4]=>[4,-1,5,2,3]
[3,2,5,-1,-4]=>[-4,-1,5,2,3]
[3,2,-5,1,4]=>[4,1,-5,2,3]
[3,2,-5,1,-4]=>[-4,1,-5,2,3]
[3,2,-5,-1,4]=>[4,-1,-5,2,3]
[3,2,-5,-1,-4]=>[-4,-1,-5,2,3]
[3,-2,5,1,4]=>[4,1,5,-2,3]
[3,-2,5,1,-4]=>[-4,1,5,-2,3]
[3,-2,5,-1,4]=>[4,-1,5,-2,3]
[3,-2,5,-1,-4]=>[-4,-1,5,-2,3]
[3,-2,-5,1,4]=>[4,1,-5,-2,3]
[3,-2,-5,1,-4]=>[-4,1,-5,-2,3]
[3,-2,-5,-1,4]=>[4,-1,-5,-2,3]
[3,-2,-5,-1,-4]=>[-4,-1,-5,-2,3]
[-3,2,5,1,4]=>[4,1,5,2,-3]
[-3,2,5,1,-4]=>[-4,1,5,2,-3]
[-3,2,5,-1,4]=>[4,-1,5,2,-3]
[-3,2,5,-1,-4]=>[-4,-1,5,2,-3]
[-3,2,-5,1,4]=>[4,1,-5,2,-3]
[-3,2,-5,1,-4]=>[-4,1,-5,2,-3]
[-3,2,-5,-1,4]=>[4,-1,-5,2,-3]
[-3,2,-5,-1,-4]=>[-4,-1,-5,2,-3]
[-3,-2,5,1,4]=>[4,1,5,-2,-3]
[-3,-2,5,1,-4]=>[-4,1,5,-2,-3]
[-3,-2,5,-1,4]=>[4,-1,5,-2,-3]
[-3,-2,5,-1,-4]=>[-4,-1,5,-2,-3]
[-3,-2,-5,1,4]=>[4,1,-5,-2,-3]
[-3,-2,-5,1,-4]=>[-4,1,-5,-2,-3]
[-3,-2,-5,-1,4]=>[4,-1,-5,-2,-3]
[-3,-2,-5,-1,-4]=>[-4,-1,-5,-2,-3]
[3,2,5,4,1]=>[1,4,5,2,3]
[3,2,5,4,-1]=>[-1,4,5,2,3]
[3,2,5,-4,1]=>[1,-4,5,2,3]
[3,2,5,-4,-1]=>[-1,-4,5,2,3]
[3,2,-5,4,1]=>[1,4,-5,2,3]
[3,2,-5,4,-1]=>[-1,4,-5,2,3]
[3,2,-5,-4,1]=>[1,-4,-5,2,3]
[3,2,-5,-4,-1]=>[-1,-4,-5,2,3]
[3,-2,5,4,1]=>[1,4,5,-2,3]
[3,-2,5,4,-1]=>[-1,4,5,-2,3]
[3,-2,5,-4,1]=>[1,-4,5,-2,3]
[3,-2,5,-4,-1]=>[-1,-4,5,-2,3]
[3,-2,-5,4,1]=>[1,4,-5,-2,3]
[3,-2,-5,4,-1]=>[-1,4,-5,-2,3]
[3,-2,-5,-4,1]=>[1,-4,-5,-2,3]
[3,-2,-5,-4,-1]=>[-1,-4,-5,-2,3]
[-3,2,5,4,1]=>[1,4,5,2,-3]
[-3,2,5,4,-1]=>[-1,4,5,2,-3]
[-3,2,5,-4,1]=>[1,-4,5,2,-3]
[-3,2,5,-4,-1]=>[-1,-4,5,2,-3]
[-3,2,-5,4,1]=>[1,4,-5,2,-3]
[-3,2,-5,4,-1]=>[-1,4,-5,2,-3]
[-3,2,-5,-4,1]=>[1,-4,-5,2,-3]
[-3,2,-5,-4,-1]=>[-1,-4,-5,2,-3]
[-3,-2,5,4,1]=>[1,4,5,-2,-3]
[-3,-2,5,4,-1]=>[-1,4,5,-2,-3]
[-3,-2,5,-4,1]=>[1,-4,5,-2,-3]
[-3,-2,5,-4,-1]=>[-1,-4,5,-2,-3]
[-3,-2,-5,4,1]=>[1,4,-5,-2,-3]
[-3,-2,-5,4,-1]=>[-1,4,-5,-2,-3]
[-3,-2,-5,-4,1]=>[1,-4,-5,-2,-3]
[-3,-2,-5,-4,-1]=>[-1,-4,-5,-2,-3]
[3,4,1,2,5]=>[5,2,1,4,3]
[3,4,1,2,-5]=>[-5,2,1,4,3]
[3,4,1,-2,5]=>[5,-2,1,4,3]
[3,4,1,-2,-5]=>[-5,-2,1,4,3]
[3,4,-1,2,5]=>[5,2,-1,4,3]
[3,4,-1,2,-5]=>[-5,2,-1,4,3]
[3,4,-1,-2,5]=>[5,-2,-1,4,3]
[3,4,-1,-2,-5]=>[-5,-2,-1,4,3]
[3,-4,1,2,5]=>[5,2,1,-4,3]
[3,-4,1,2,-5]=>[-5,2,1,-4,3]
[3,-4,1,-2,5]=>[5,-2,1,-4,3]
[3,-4,1,-2,-5]=>[-5,-2,1,-4,3]
[3,-4,-1,2,5]=>[5,2,-1,-4,3]
[3,-4,-1,2,-5]=>[-5,2,-1,-4,3]
[3,-4,-1,-2,5]=>[5,-2,-1,-4,3]
[3,-4,-1,-2,-5]=>[-5,-2,-1,-4,3]
[-3,4,1,2,5]=>[5,2,1,4,-3]
[-3,4,1,2,-5]=>[-5,2,1,4,-3]
[-3,4,1,-2,5]=>[5,-2,1,4,-3]
[-3,4,1,-2,-5]=>[-5,-2,1,4,-3]
[-3,4,-1,2,5]=>[5,2,-1,4,-3]
[-3,4,-1,2,-5]=>[-5,2,-1,4,-3]
[-3,4,-1,-2,5]=>[5,-2,-1,4,-3]
[-3,4,-1,-2,-5]=>[-5,-2,-1,4,-3]
[-3,-4,1,2,5]=>[5,2,1,-4,-3]
[-3,-4,1,2,-5]=>[-5,2,1,-4,-3]
[-3,-4,1,-2,5]=>[5,-2,1,-4,-3]
[-3,-4,1,-2,-5]=>[-5,-2,1,-4,-3]
[-3,-4,-1,2,5]=>[5,2,-1,-4,-3]
[-3,-4,-1,2,-5]=>[-5,2,-1,-4,-3]
[-3,-4,-1,-2,5]=>[5,-2,-1,-4,-3]
[-3,-4,-1,-2,-5]=>[-5,-2,-1,-4,-3]
[3,4,1,5,2]=>[2,5,1,4,3]
[3,4,1,5,-2]=>[-2,5,1,4,3]
[3,4,1,-5,2]=>[2,-5,1,4,3]
[3,4,1,-5,-2]=>[-2,-5,1,4,3]
[3,4,-1,5,2]=>[2,5,-1,4,3]
[3,4,-1,5,-2]=>[-2,5,-1,4,3]
[3,4,-1,-5,2]=>[2,-5,-1,4,3]
[3,4,-1,-5,-2]=>[-2,-5,-1,4,3]
[3,-4,1,5,2]=>[2,5,1,-4,3]
[3,-4,1,5,-2]=>[-2,5,1,-4,3]
[3,-4,1,-5,2]=>[2,-5,1,-4,3]
[3,-4,1,-5,-2]=>[-2,-5,1,-4,3]
[3,-4,-1,5,2]=>[2,5,-1,-4,3]
[3,-4,-1,5,-2]=>[-2,5,-1,-4,3]
[3,-4,-1,-5,2]=>[2,-5,-1,-4,3]
[3,-4,-1,-5,-2]=>[-2,-5,-1,-4,3]
[-3,4,1,5,2]=>[2,5,1,4,-3]
[-3,4,1,5,-2]=>[-2,5,1,4,-3]
[-3,4,1,-5,2]=>[2,-5,1,4,-3]
[-3,4,1,-5,-2]=>[-2,-5,1,4,-3]
[-3,4,-1,5,2]=>[2,5,-1,4,-3]
[-3,4,-1,5,-2]=>[-2,5,-1,4,-3]
[-3,4,-1,-5,2]=>[2,-5,-1,4,-3]
[-3,4,-1,-5,-2]=>[-2,-5,-1,4,-3]
[-3,-4,1,5,2]=>[2,5,1,-4,-3]
[-3,-4,1,5,-2]=>[-2,5,1,-4,-3]
[-3,-4,1,-5,2]=>[2,-5,1,-4,-3]
[-3,-4,1,-5,-2]=>[-2,-5,1,-4,-3]
[-3,-4,-1,5,2]=>[2,5,-1,-4,-3]
[-3,-4,-1,5,-2]=>[-2,5,-1,-4,-3]
[-3,-4,-1,-5,2]=>[2,-5,-1,-4,-3]
[-3,-4,-1,-5,-2]=>[-2,-5,-1,-4,-3]
[3,4,2,1,5]=>[5,1,2,4,3]
[3,4,2,1,-5]=>[-5,1,2,4,3]
[3,4,2,-1,5]=>[5,-1,2,4,3]
[3,4,2,-1,-5]=>[-5,-1,2,4,3]
[3,4,-2,1,5]=>[5,1,-2,4,3]
[3,4,-2,1,-5]=>[-5,1,-2,4,3]
[3,4,-2,-1,5]=>[5,-1,-2,4,3]
[3,4,-2,-1,-5]=>[-5,-1,-2,4,3]
[3,-4,2,1,5]=>[5,1,2,-4,3]
[3,-4,2,1,-5]=>[-5,1,2,-4,3]
[3,-4,2,-1,5]=>[5,-1,2,-4,3]
[3,-4,2,-1,-5]=>[-5,-1,2,-4,3]
[3,-4,-2,1,5]=>[5,1,-2,-4,3]
[3,-4,-2,1,-5]=>[-5,1,-2,-4,3]
[3,-4,-2,-1,5]=>[5,-1,-2,-4,3]
[3,-4,-2,-1,-5]=>[-5,-1,-2,-4,3]
[-3,4,2,1,5]=>[5,1,2,4,-3]
[-3,4,2,1,-5]=>[-5,1,2,4,-3]
[-3,4,2,-1,5]=>[5,-1,2,4,-3]
[-3,4,2,-1,-5]=>[-5,-1,2,4,-3]
[-3,4,-2,1,5]=>[5,1,-2,4,-3]
[-3,4,-2,1,-5]=>[-5,1,-2,4,-3]
[-3,4,-2,-1,5]=>[5,-1,-2,4,-3]
[-3,4,-2,-1,-5]=>[-5,-1,-2,4,-3]
[-3,-4,2,1,5]=>[5,1,2,-4,-3]
[-3,-4,2,1,-5]=>[-5,1,2,-4,-3]
[-3,-4,2,-1,5]=>[5,-1,2,-4,-3]
[-3,-4,2,-1,-5]=>[-5,-1,2,-4,-3]
[-3,-4,-2,1,5]=>[5,1,-2,-4,-3]
[-3,-4,-2,1,-5]=>[-5,1,-2,-4,-3]
[-3,-4,-2,-1,5]=>[5,-1,-2,-4,-3]
[-3,-4,-2,-1,-5]=>[-5,-1,-2,-4,-3]
[3,4,2,5,1]=>[1,5,2,4,3]
[3,4,2,5,-1]=>[-1,5,2,4,3]
[3,4,2,-5,1]=>[1,-5,2,4,3]
[3,4,2,-5,-1]=>[-1,-5,2,4,3]
[3,4,-2,5,1]=>[1,5,-2,4,3]
[3,4,-2,5,-1]=>[-1,5,-2,4,3]
[3,4,-2,-5,1]=>[1,-5,-2,4,3]
[3,4,-2,-5,-1]=>[-1,-5,-2,4,3]
[3,-4,2,5,1]=>[1,5,2,-4,3]
[3,-4,2,5,-1]=>[-1,5,2,-4,3]
[3,-4,2,-5,1]=>[1,-5,2,-4,3]
[3,-4,2,-5,-1]=>[-1,-5,2,-4,3]
[3,-4,-2,5,1]=>[1,5,-2,-4,3]
[3,-4,-2,5,-1]=>[-1,5,-2,-4,3]
[3,-4,-2,-5,1]=>[1,-5,-2,-4,3]
[3,-4,-2,-5,-1]=>[-1,-5,-2,-4,3]
[-3,4,2,5,1]=>[1,5,2,4,-3]
[-3,4,2,5,-1]=>[-1,5,2,4,-3]
[-3,4,2,-5,1]=>[1,-5,2,4,-3]
[-3,4,2,-5,-1]=>[-1,-5,2,4,-3]
[-3,4,-2,5,1]=>[1,5,-2,4,-3]
[-3,4,-2,5,-1]=>[-1,5,-2,4,-3]
[-3,4,-2,-5,1]=>[1,-5,-2,4,-3]
[-3,4,-2,-5,-1]=>[-1,-5,-2,4,-3]
[-3,-4,2,5,1]=>[1,5,2,-4,-3]
[-3,-4,2,5,-1]=>[-1,5,2,-4,-3]
[-3,-4,2,-5,1]=>[1,-5,2,-4,-3]
[-3,-4,2,-5,-1]=>[-1,-5,2,-4,-3]
[-3,-4,-2,5,1]=>[1,5,-2,-4,-3]
[-3,-4,-2,5,-1]=>[-1,5,-2,-4,-3]
[-3,-4,-2,-5,1]=>[1,-5,-2,-4,-3]
[-3,-4,-2,-5,-1]=>[-1,-5,-2,-4,-3]
[3,4,5,1,2]=>[2,1,5,4,3]
[3,4,5,1,-2]=>[-2,1,5,4,3]
[3,4,5,-1,2]=>[2,-1,5,4,3]
[3,4,5,-1,-2]=>[-2,-1,5,4,3]
[3,4,-5,1,2]=>[2,1,-5,4,3]
[3,4,-5,1,-2]=>[-2,1,-5,4,3]
[3,4,-5,-1,2]=>[2,-1,-5,4,3]
[3,4,-5,-1,-2]=>[-2,-1,-5,4,3]
[3,-4,5,1,2]=>[2,1,5,-4,3]
[3,-4,5,1,-2]=>[-2,1,5,-4,3]
[3,-4,5,-1,2]=>[2,-1,5,-4,3]
[3,-4,5,-1,-2]=>[-2,-1,5,-4,3]
[3,-4,-5,1,2]=>[2,1,-5,-4,3]
[3,-4,-5,1,-2]=>[-2,1,-5,-4,3]
[3,-4,-5,-1,2]=>[2,-1,-5,-4,3]
[3,-4,-5,-1,-2]=>[-2,-1,-5,-4,3]
[-3,4,5,1,2]=>[2,1,5,4,-3]
[-3,4,5,1,-2]=>[-2,1,5,4,-3]
[-3,4,5,-1,2]=>[2,-1,5,4,-3]
[-3,4,5,-1,-2]=>[-2,-1,5,4,-3]
[-3,4,-5,1,2]=>[2,1,-5,4,-3]
[-3,4,-5,1,-2]=>[-2,1,-5,4,-3]
[-3,4,-5,-1,2]=>[2,-1,-5,4,-3]
[-3,4,-5,-1,-2]=>[-2,-1,-5,4,-3]
[-3,-4,5,1,2]=>[2,1,5,-4,-3]
[-3,-4,5,1,-2]=>[-2,1,5,-4,-3]
[-3,-4,5,-1,2]=>[2,-1,5,-4,-3]
[-3,-4,5,-1,-2]=>[-2,-1,5,-4,-3]
[-3,-4,-5,1,2]=>[2,1,-5,-4,-3]
[-3,-4,-5,1,-2]=>[-2,1,-5,-4,-3]
[-3,-4,-5,-1,2]=>[2,-1,-5,-4,-3]
[-3,-4,-5,-1,-2]=>[-2,-1,-5,-4,-3]
[3,4,5,2,1]=>[1,2,5,4,3]
[3,4,5,2,-1]=>[-1,2,5,4,3]
[3,4,5,-2,1]=>[1,-2,5,4,3]
[3,4,5,-2,-1]=>[-1,-2,5,4,3]
[3,4,-5,2,1]=>[1,2,-5,4,3]
[3,4,-5,2,-1]=>[-1,2,-5,4,3]
[3,4,-5,-2,1]=>[1,-2,-5,4,3]
[3,4,-5,-2,-1]=>[-1,-2,-5,4,3]
[3,-4,5,2,1]=>[1,2,5,-4,3]
[3,-4,5,2,-1]=>[-1,2,5,-4,3]
[3,-4,5,-2,1]=>[1,-2,5,-4,3]
[3,-4,5,-2,-1]=>[-1,-2,5,-4,3]
[3,-4,-5,2,1]=>[1,2,-5,-4,3]
[3,-4,-5,2,-1]=>[-1,2,-5,-4,3]
[3,-4,-5,-2,1]=>[1,-2,-5,-4,3]
[3,-4,-5,-2,-1]=>[-1,-2,-5,-4,3]
[-3,4,5,2,1]=>[1,2,5,4,-3]
[-3,4,5,2,-1]=>[-1,2,5,4,-3]
[-3,4,5,-2,1]=>[1,-2,5,4,-3]
[-3,4,5,-2,-1]=>[-1,-2,5,4,-3]
[-3,4,-5,2,1]=>[1,2,-5,4,-3]
[-3,4,-5,2,-1]=>[-1,2,-5,4,-3]
[-3,4,-5,-2,1]=>[1,-2,-5,4,-3]
[-3,4,-5,-2,-1]=>[-1,-2,-5,4,-3]
[-3,-4,5,2,1]=>[1,2,5,-4,-3]
[-3,-4,5,2,-1]=>[-1,2,5,-4,-3]
[-3,-4,5,-2,1]=>[1,-2,5,-4,-3]
[-3,-4,5,-2,-1]=>[-1,-2,5,-4,-3]
[-3,-4,-5,2,1]=>[1,2,-5,-4,-3]
[-3,-4,-5,2,-1]=>[-1,2,-5,-4,-3]
[-3,-4,-5,-2,1]=>[1,-2,-5,-4,-3]
[-3,-4,-5,-2,-1]=>[-1,-2,-5,-4,-3]
[3,5,1,2,4]=>[4,2,1,5,3]
[3,5,1,2,-4]=>[-4,2,1,5,3]
[3,5,1,-2,4]=>[4,-2,1,5,3]
[3,5,1,-2,-4]=>[-4,-2,1,5,3]
[3,5,-1,2,4]=>[4,2,-1,5,3]
[3,5,-1,2,-4]=>[-4,2,-1,5,3]
[3,5,-1,-2,4]=>[4,-2,-1,5,3]
[3,5,-1,-2,-4]=>[-4,-2,-1,5,3]
[3,-5,1,2,4]=>[4,2,1,-5,3]
[3,-5,1,2,-4]=>[-4,2,1,-5,3]
[3,-5,1,-2,4]=>[4,-2,1,-5,3]
[3,-5,1,-2,-4]=>[-4,-2,1,-5,3]
[3,-5,-1,2,4]=>[4,2,-1,-5,3]
[3,-5,-1,2,-4]=>[-4,2,-1,-5,3]
[3,-5,-1,-2,4]=>[4,-2,-1,-5,3]
[3,-5,-1,-2,-4]=>[-4,-2,-1,-5,3]
[-3,5,1,2,4]=>[4,2,1,5,-3]
[-3,5,1,2,-4]=>[-4,2,1,5,-3]
[-3,5,1,-2,4]=>[4,-2,1,5,-3]
[-3,5,1,-2,-4]=>[-4,-2,1,5,-3]
[-3,5,-1,2,4]=>[4,2,-1,5,-3]
[-3,5,-1,2,-4]=>[-4,2,-1,5,-3]
[-3,5,-1,-2,4]=>[4,-2,-1,5,-3]
[-3,5,-1,-2,-4]=>[-4,-2,-1,5,-3]
[-3,-5,1,2,4]=>[4,2,1,-5,-3]
[-3,-5,1,2,-4]=>[-4,2,1,-5,-3]
[-3,-5,1,-2,4]=>[4,-2,1,-5,-3]
[-3,-5,1,-2,-4]=>[-4,-2,1,-5,-3]
[-3,-5,-1,2,4]=>[4,2,-1,-5,-3]
[-3,-5,-1,2,-4]=>[-4,2,-1,-5,-3]
[-3,-5,-1,-2,4]=>[4,-2,-1,-5,-3]
[-3,-5,-1,-2,-4]=>[-4,-2,-1,-5,-3]
[3,5,1,4,2]=>[2,4,1,5,3]
[3,5,1,4,-2]=>[-2,4,1,5,3]
[3,5,1,-4,2]=>[2,-4,1,5,3]
[3,5,1,-4,-2]=>[-2,-4,1,5,3]
[3,5,-1,4,2]=>[2,4,-1,5,3]
[3,5,-1,4,-2]=>[-2,4,-1,5,3]
[3,5,-1,-4,2]=>[2,-4,-1,5,3]
[3,5,-1,-4,-2]=>[-2,-4,-1,5,3]
[3,-5,1,4,2]=>[2,4,1,-5,3]
[3,-5,1,4,-2]=>[-2,4,1,-5,3]
[3,-5,1,-4,2]=>[2,-4,1,-5,3]
[3,-5,1,-4,-2]=>[-2,-4,1,-5,3]
[3,-5,-1,4,2]=>[2,4,-1,-5,3]
[3,-5,-1,4,-2]=>[-2,4,-1,-5,3]
[3,-5,-1,-4,2]=>[2,-4,-1,-5,3]
[3,-5,-1,-4,-2]=>[-2,-4,-1,-5,3]
[-3,5,1,4,2]=>[2,4,1,5,-3]
[-3,5,1,4,-2]=>[-2,4,1,5,-3]
[-3,5,1,-4,2]=>[2,-4,1,5,-3]
[-3,5,1,-4,-2]=>[-2,-4,1,5,-3]
[-3,5,-1,4,2]=>[2,4,-1,5,-3]
[-3,5,-1,4,-2]=>[-2,4,-1,5,-3]
[-3,5,-1,-4,2]=>[2,-4,-1,5,-3]
[-3,5,-1,-4,-2]=>[-2,-4,-1,5,-3]
[-3,-5,1,4,2]=>[2,4,1,-5,-3]
[-3,-5,1,4,-2]=>[-2,4,1,-5,-3]
[-3,-5,1,-4,2]=>[2,-4,1,-5,-3]
[-3,-5,1,-4,-2]=>[-2,-4,1,-5,-3]
[-3,-5,-1,4,2]=>[2,4,-1,-5,-3]
[-3,-5,-1,4,-2]=>[-2,4,-1,-5,-3]
[-3,-5,-1,-4,2]=>[2,-4,-1,-5,-3]
[-3,-5,-1,-4,-2]=>[-2,-4,-1,-5,-3]
[3,5,2,1,4]=>[4,1,2,5,3]
[3,5,2,1,-4]=>[-4,1,2,5,3]
[3,5,2,-1,4]=>[4,-1,2,5,3]
[3,5,2,-1,-4]=>[-4,-1,2,5,3]
[3,5,-2,1,4]=>[4,1,-2,5,3]
[3,5,-2,1,-4]=>[-4,1,-2,5,3]
[3,5,-2,-1,4]=>[4,-1,-2,5,3]
[3,5,-2,-1,-4]=>[-4,-1,-2,5,3]
[3,-5,2,1,4]=>[4,1,2,-5,3]
[3,-5,2,1,-4]=>[-4,1,2,-5,3]
[3,-5,2,-1,4]=>[4,-1,2,-5,3]
[3,-5,2,-1,-4]=>[-4,-1,2,-5,3]
[3,-5,-2,1,4]=>[4,1,-2,-5,3]
[3,-5,-2,1,-4]=>[-4,1,-2,-5,3]
[3,-5,-2,-1,4]=>[4,-1,-2,-5,3]
[3,-5,-2,-1,-4]=>[-4,-1,-2,-5,3]
[-3,5,2,1,4]=>[4,1,2,5,-3]
[-3,5,2,1,-4]=>[-4,1,2,5,-3]
[-3,5,2,-1,4]=>[4,-1,2,5,-3]
[-3,5,2,-1,-4]=>[-4,-1,2,5,-3]
[-3,5,-2,1,4]=>[4,1,-2,5,-3]
[-3,5,-2,1,-4]=>[-4,1,-2,5,-3]
[-3,5,-2,-1,4]=>[4,-1,-2,5,-3]
[-3,5,-2,-1,-4]=>[-4,-1,-2,5,-3]
[-3,-5,2,1,4]=>[4,1,2,-5,-3]
[-3,-5,2,1,-4]=>[-4,1,2,-5,-3]
[-3,-5,2,-1,4]=>[4,-1,2,-5,-3]
[-3,-5,2,-1,-4]=>[-4,-1,2,-5,-3]
[-3,-5,-2,1,4]=>[4,1,-2,-5,-3]
[-3,-5,-2,1,-4]=>[-4,1,-2,-5,-3]
[-3,-5,-2,-1,4]=>[4,-1,-2,-5,-3]
[-3,-5,-2,-1,-4]=>[-4,-1,-2,-5,-3]
[3,5,2,4,1]=>[1,4,2,5,3]
[3,5,2,4,-1]=>[-1,4,2,5,3]
[3,5,2,-4,1]=>[1,-4,2,5,3]
[3,5,2,-4,-1]=>[-1,-4,2,5,3]
[3,5,-2,4,1]=>[1,4,-2,5,3]
[3,5,-2,4,-1]=>[-1,4,-2,5,3]
[3,5,-2,-4,1]=>[1,-4,-2,5,3]
[3,5,-2,-4,-1]=>[-1,-4,-2,5,3]
[3,-5,2,4,1]=>[1,4,2,-5,3]
[3,-5,2,4,-1]=>[-1,4,2,-5,3]
[3,-5,2,-4,1]=>[1,-4,2,-5,3]
[3,-5,2,-4,-1]=>[-1,-4,2,-5,3]
[3,-5,-2,4,1]=>[1,4,-2,-5,3]
[3,-5,-2,4,-1]=>[-1,4,-2,-5,3]
[3,-5,-2,-4,1]=>[1,-4,-2,-5,3]
[3,-5,-2,-4,-1]=>[-1,-4,-2,-5,3]
[-3,5,2,4,1]=>[1,4,2,5,-3]
[-3,5,2,4,-1]=>[-1,4,2,5,-3]
[-3,5,2,-4,1]=>[1,-4,2,5,-3]
[-3,5,2,-4,-1]=>[-1,-4,2,5,-3]
[-3,5,-2,4,1]=>[1,4,-2,5,-3]
[-3,5,-2,4,-1]=>[-1,4,-2,5,-3]
[-3,5,-2,-4,1]=>[1,-4,-2,5,-3]
[-3,5,-2,-4,-1]=>[-1,-4,-2,5,-3]
[-3,-5,2,4,1]=>[1,4,2,-5,-3]
[-3,-5,2,4,-1]=>[-1,4,2,-5,-3]
[-3,-5,2,-4,1]=>[1,-4,2,-5,-3]
[-3,-5,2,-4,-1]=>[-1,-4,2,-5,-3]
[-3,-5,-2,4,1]=>[1,4,-2,-5,-3]
[-3,-5,-2,4,-1]=>[-1,4,-2,-5,-3]
[-3,-5,-2,-4,1]=>[1,-4,-2,-5,-3]
[-3,-5,-2,-4,-1]=>[-1,-4,-2,-5,-3]
[3,5,4,1,2]=>[2,1,4,5,3]
[3,5,4,1,-2]=>[-2,1,4,5,3]
[3,5,4,-1,2]=>[2,-1,4,5,3]
[3,5,4,-1,-2]=>[-2,-1,4,5,3]
[3,5,-4,1,2]=>[2,1,-4,5,3]
[3,5,-4,1,-2]=>[-2,1,-4,5,3]
[3,5,-4,-1,2]=>[2,-1,-4,5,3]
[3,5,-4,-1,-2]=>[-2,-1,-4,5,3]
[3,-5,4,1,2]=>[2,1,4,-5,3]
[3,-5,4,1,-2]=>[-2,1,4,-5,3]
[3,-5,4,-1,2]=>[2,-1,4,-5,3]
[3,-5,4,-1,-2]=>[-2,-1,4,-5,3]
[3,-5,-4,1,2]=>[2,1,-4,-5,3]
[3,-5,-4,1,-2]=>[-2,1,-4,-5,3]
[3,-5,-4,-1,2]=>[2,-1,-4,-5,3]
[3,-5,-4,-1,-2]=>[-2,-1,-4,-5,3]
[-3,5,4,1,2]=>[2,1,4,5,-3]
[-3,5,4,1,-2]=>[-2,1,4,5,-3]
[-3,5,4,-1,2]=>[2,-1,4,5,-3]
[-3,5,4,-1,-2]=>[-2,-1,4,5,-3]
[-3,5,-4,1,2]=>[2,1,-4,5,-3]
[-3,5,-4,1,-2]=>[-2,1,-4,5,-3]
[-3,5,-4,-1,2]=>[2,-1,-4,5,-3]
[-3,5,-4,-1,-2]=>[-2,-1,-4,5,-3]
[-3,-5,4,1,2]=>[2,1,4,-5,-3]
[-3,-5,4,1,-2]=>[-2,1,4,-5,-3]
[-3,-5,4,-1,2]=>[2,-1,4,-5,-3]
[-3,-5,4,-1,-2]=>[-2,-1,4,-5,-3]
[-3,-5,-4,1,2]=>[2,1,-4,-5,-3]
[-3,-5,-4,1,-2]=>[-2,1,-4,-5,-3]
[-3,-5,-4,-1,2]=>[2,-1,-4,-5,-3]
[-3,-5,-4,-1,-2]=>[-2,-1,-4,-5,-3]
[3,5,4,2,1]=>[1,2,4,5,3]
[3,5,4,2,-1]=>[-1,2,4,5,3]
[3,5,4,-2,1]=>[1,-2,4,5,3]
[3,5,4,-2,-1]=>[-1,-2,4,5,3]
[3,5,-4,2,1]=>[1,2,-4,5,3]
[3,5,-4,2,-1]=>[-1,2,-4,5,3]
[3,5,-4,-2,1]=>[1,-2,-4,5,3]
[3,5,-4,-2,-1]=>[-1,-2,-4,5,3]
[3,-5,4,2,1]=>[1,2,4,-5,3]
[3,-5,4,2,-1]=>[-1,2,4,-5,3]
[3,-5,4,-2,1]=>[1,-2,4,-5,3]
[3,-5,4,-2,-1]=>[-1,-2,4,-5,3]
[3,-5,-4,2,1]=>[1,2,-4,-5,3]
[3,-5,-4,2,-1]=>[-1,2,-4,-5,3]
[3,-5,-4,-2,1]=>[1,-2,-4,-5,3]
[3,-5,-4,-2,-1]=>[-1,-2,-4,-5,3]
[-3,5,4,2,1]=>[1,2,4,5,-3]
[-3,5,4,2,-1]=>[-1,2,4,5,-3]
[-3,5,4,-2,1]=>[1,-2,4,5,-3]
[-3,5,4,-2,-1]=>[-1,-2,4,5,-3]
[-3,5,-4,2,1]=>[1,2,-4,5,-3]
[-3,5,-4,2,-1]=>[-1,2,-4,5,-3]
[-3,5,-4,-2,1]=>[1,-2,-4,5,-3]
[-3,5,-4,-2,-1]=>[-1,-2,-4,5,-3]
[-3,-5,4,2,1]=>[1,2,4,-5,-3]
[-3,-5,4,2,-1]=>[-1,2,4,-5,-3]
[-3,-5,4,-2,1]=>[1,-2,4,-5,-3]
[-3,-5,4,-2,-1]=>[-1,-2,4,-5,-3]
[-3,-5,-4,2,1]=>[1,2,-4,-5,-3]
[-3,-5,-4,2,-1]=>[-1,2,-4,-5,-3]
[-3,-5,-4,-2,1]=>[1,-2,-4,-5,-3]
[-3,-5,-4,-2,-1]=>[-1,-2,-4,-5,-3]
[4,1,2,3,5]=>[5,3,2,1,4]
[4,1,2,3,-5]=>[-5,3,2,1,4]
[4,1,2,-3,5]=>[5,-3,2,1,4]
[4,1,2,-3,-5]=>[-5,-3,2,1,4]
[4,1,-2,3,5]=>[5,3,-2,1,4]
[4,1,-2,3,-5]=>[-5,3,-2,1,4]
[4,1,-2,-3,5]=>[5,-3,-2,1,4]
[4,1,-2,-3,-5]=>[-5,-3,-2,1,4]
[4,-1,2,3,5]=>[5,3,2,-1,4]
[4,-1,2,3,-5]=>[-5,3,2,-1,4]
[4,-1,2,-3,5]=>[5,-3,2,-1,4]
[4,-1,2,-3,-5]=>[-5,-3,2,-1,4]
[4,-1,-2,3,5]=>[5,3,-2,-1,4]
[4,-1,-2,3,-5]=>[-5,3,-2,-1,4]
[4,-1,-2,-3,5]=>[5,-3,-2,-1,4]
[4,-1,-2,-3,-5]=>[-5,-3,-2,-1,4]
[-4,1,2,3,5]=>[5,3,2,1,-4]
[-4,1,2,3,-5]=>[-5,3,2,1,-4]
[-4,1,2,-3,5]=>[5,-3,2,1,-4]
[-4,1,2,-3,-5]=>[-5,-3,2,1,-4]
[-4,1,-2,3,5]=>[5,3,-2,1,-4]
[-4,1,-2,3,-5]=>[-5,3,-2,1,-4]
[-4,1,-2,-3,5]=>[5,-3,-2,1,-4]
[-4,1,-2,-3,-5]=>[-5,-3,-2,1,-4]
[-4,-1,2,3,5]=>[5,3,2,-1,-4]
[-4,-1,2,3,-5]=>[-5,3,2,-1,-4]
[-4,-1,2,-3,5]=>[5,-3,2,-1,-4]
[-4,-1,2,-3,-5]=>[-5,-3,2,-1,-4]
[-4,-1,-2,3,5]=>[5,3,-2,-1,-4]
[-4,-1,-2,3,-5]=>[-5,3,-2,-1,-4]
[-4,-1,-2,-3,5]=>[5,-3,-2,-1,-4]
[-4,-1,-2,-3,-5]=>[-5,-3,-2,-1,-4]
[4,1,2,5,3]=>[3,5,2,1,4]
[4,1,2,5,-3]=>[-3,5,2,1,4]
[4,1,2,-5,3]=>[3,-5,2,1,4]
[4,1,2,-5,-3]=>[-3,-5,2,1,4]
[4,1,-2,5,3]=>[3,5,-2,1,4]
[4,1,-2,5,-3]=>[-3,5,-2,1,4]
[4,1,-2,-5,3]=>[3,-5,-2,1,4]
[4,1,-2,-5,-3]=>[-3,-5,-2,1,4]
[4,-1,2,5,3]=>[3,5,2,-1,4]
[4,-1,2,5,-3]=>[-3,5,2,-1,4]
[4,-1,2,-5,3]=>[3,-5,2,-1,4]
[4,-1,2,-5,-3]=>[-3,-5,2,-1,4]
[4,-1,-2,5,3]=>[3,5,-2,-1,4]
[4,-1,-2,5,-3]=>[-3,5,-2,-1,4]
[4,-1,-2,-5,3]=>[3,-5,-2,-1,4]
[4,-1,-2,-5,-3]=>[-3,-5,-2,-1,4]
[-4,1,2,5,3]=>[3,5,2,1,-4]
[-4,1,2,5,-3]=>[-3,5,2,1,-4]
[-4,1,2,-5,3]=>[3,-5,2,1,-4]
[-4,1,2,-5,-3]=>[-3,-5,2,1,-4]
[-4,1,-2,5,3]=>[3,5,-2,1,-4]
[-4,1,-2,5,-3]=>[-3,5,-2,1,-4]
[-4,1,-2,-5,3]=>[3,-5,-2,1,-4]
[-4,1,-2,-5,-3]=>[-3,-5,-2,1,-4]
[-4,-1,2,5,3]=>[3,5,2,-1,-4]
[-4,-1,2,5,-3]=>[-3,5,2,-1,-4]
[-4,-1,2,-5,3]=>[3,-5,2,-1,-4]
[-4,-1,2,-5,-3]=>[-3,-5,2,-1,-4]
[-4,-1,-2,5,3]=>[3,5,-2,-1,-4]
[-4,-1,-2,5,-3]=>[-3,5,-2,-1,-4]
[-4,-1,-2,-5,3]=>[3,-5,-2,-1,-4]
[-4,-1,-2,-5,-3]=>[-3,-5,-2,-1,-4]
[4,1,3,2,5]=>[5,2,3,1,4]
[4,1,3,2,-5]=>[-5,2,3,1,4]
[4,1,3,-2,5]=>[5,-2,3,1,4]
[4,1,3,-2,-5]=>[-5,-2,3,1,4]
[4,1,-3,2,5]=>[5,2,-3,1,4]
[4,1,-3,2,-5]=>[-5,2,-3,1,4]
[4,1,-3,-2,5]=>[5,-2,-3,1,4]
[4,1,-3,-2,-5]=>[-5,-2,-3,1,4]
[4,-1,3,2,5]=>[5,2,3,-1,4]
[4,-1,3,2,-5]=>[-5,2,3,-1,4]
[4,-1,3,-2,5]=>[5,-2,3,-1,4]
[4,-1,3,-2,-5]=>[-5,-2,3,-1,4]
[4,-1,-3,2,5]=>[5,2,-3,-1,4]
[4,-1,-3,2,-5]=>[-5,2,-3,-1,4]
[4,-1,-3,-2,5]=>[5,-2,-3,-1,4]
[4,-1,-3,-2,-5]=>[-5,-2,-3,-1,4]
[-4,1,3,2,5]=>[5,2,3,1,-4]
[-4,1,3,2,-5]=>[-5,2,3,1,-4]
[-4,1,3,-2,5]=>[5,-2,3,1,-4]
[-4,1,3,-2,-5]=>[-5,-2,3,1,-4]
[-4,1,-3,2,5]=>[5,2,-3,1,-4]
[-4,1,-3,2,-5]=>[-5,2,-3,1,-4]
[-4,1,-3,-2,5]=>[5,-2,-3,1,-4]
[-4,1,-3,-2,-5]=>[-5,-2,-3,1,-4]
[-4,-1,3,2,5]=>[5,2,3,-1,-4]
[-4,-1,3,2,-5]=>[-5,2,3,-1,-4]
[-4,-1,3,-2,5]=>[5,-2,3,-1,-4]
[-4,-1,3,-2,-5]=>[-5,-2,3,-1,-4]
[-4,-1,-3,2,5]=>[5,2,-3,-1,-4]
[-4,-1,-3,2,-5]=>[-5,2,-3,-1,-4]
[-4,-1,-3,-2,5]=>[5,-2,-3,-1,-4]
[-4,-1,-3,-2,-5]=>[-5,-2,-3,-1,-4]
[4,1,3,5,2]=>[2,5,3,1,4]
[4,1,3,5,-2]=>[-2,5,3,1,4]
[4,1,3,-5,2]=>[2,-5,3,1,4]
[4,1,3,-5,-2]=>[-2,-5,3,1,4]
[4,1,-3,5,2]=>[2,5,-3,1,4]
[4,1,-3,5,-2]=>[-2,5,-3,1,4]
[4,1,-3,-5,2]=>[2,-5,-3,1,4]
[4,1,-3,-5,-2]=>[-2,-5,-3,1,4]
[4,-1,3,5,2]=>[2,5,3,-1,4]
[4,-1,3,5,-2]=>[-2,5,3,-1,4]
[4,-1,3,-5,2]=>[2,-5,3,-1,4]
[4,-1,3,-5,-2]=>[-2,-5,3,-1,4]
[4,-1,-3,5,2]=>[2,5,-3,-1,4]
[4,-1,-3,5,-2]=>[-2,5,-3,-1,4]
[4,-1,-3,-5,2]=>[2,-5,-3,-1,4]
[4,-1,-3,-5,-2]=>[-2,-5,-3,-1,4]
[-4,1,3,5,2]=>[2,5,3,1,-4]
[-4,1,3,5,-2]=>[-2,5,3,1,-4]
[-4,1,3,-5,2]=>[2,-5,3,1,-4]
[-4,1,3,-5,-2]=>[-2,-5,3,1,-4]
[-4,1,-3,5,2]=>[2,5,-3,1,-4]
[-4,1,-3,5,-2]=>[-2,5,-3,1,-4]
[-4,1,-3,-5,2]=>[2,-5,-3,1,-4]
[-4,1,-3,-5,-2]=>[-2,-5,-3,1,-4]
[-4,-1,3,5,2]=>[2,5,3,-1,-4]
[-4,-1,3,5,-2]=>[-2,5,3,-1,-4]
[-4,-1,3,-5,2]=>[2,-5,3,-1,-4]
[-4,-1,3,-5,-2]=>[-2,-5,3,-1,-4]
[-4,-1,-3,5,2]=>[2,5,-3,-1,-4]
[-4,-1,-3,5,-2]=>[-2,5,-3,-1,-4]
[-4,-1,-3,-5,2]=>[2,-5,-3,-1,-4]
[-4,-1,-3,-5,-2]=>[-2,-5,-3,-1,-4]
[4,1,5,2,3]=>[3,2,5,1,4]
[4,1,5,2,-3]=>[-3,2,5,1,4]
[4,1,5,-2,3]=>[3,-2,5,1,4]
[4,1,5,-2,-3]=>[-3,-2,5,1,4]
[4,1,-5,2,3]=>[3,2,-5,1,4]
[4,1,-5,2,-3]=>[-3,2,-5,1,4]
[4,1,-5,-2,3]=>[3,-2,-5,1,4]
[4,1,-5,-2,-3]=>[-3,-2,-5,1,4]
[4,-1,5,2,3]=>[3,2,5,-1,4]
[4,-1,5,2,-3]=>[-3,2,5,-1,4]
[4,-1,5,-2,3]=>[3,-2,5,-1,4]
[4,-1,5,-2,-3]=>[-3,-2,5,-1,4]
[4,-1,-5,2,3]=>[3,2,-5,-1,4]
[4,-1,-5,2,-3]=>[-3,2,-5,-1,4]
[4,-1,-5,-2,3]=>[3,-2,-5,-1,4]
[4,-1,-5,-2,-3]=>[-3,-2,-5,-1,4]
[-4,1,5,2,3]=>[3,2,5,1,-4]
[-4,1,5,2,-3]=>[-3,2,5,1,-4]
[-4,1,5,-2,3]=>[3,-2,5,1,-4]
[-4,1,5,-2,-3]=>[-3,-2,5,1,-4]
[-4,1,-5,2,3]=>[3,2,-5,1,-4]
[-4,1,-5,2,-3]=>[-3,2,-5,1,-4]
[-4,1,-5,-2,3]=>[3,-2,-5,1,-4]
[-4,1,-5,-2,-3]=>[-3,-2,-5,1,-4]
[-4,-1,5,2,3]=>[3,2,5,-1,-4]
[-4,-1,5,2,-3]=>[-3,2,5,-1,-4]
[-4,-1,5,-2,3]=>[3,-2,5,-1,-4]
[-4,-1,5,-2,-3]=>[-3,-2,5,-1,-4]
[-4,-1,-5,2,3]=>[3,2,-5,-1,-4]
[-4,-1,-5,2,-3]=>[-3,2,-5,-1,-4]
[-4,-1,-5,-2,3]=>[3,-2,-5,-1,-4]
[-4,-1,-5,-2,-3]=>[-3,-2,-5,-1,-4]
[4,1,5,3,2]=>[2,3,5,1,4]
[4,1,5,3,-2]=>[-2,3,5,1,4]
[4,1,5,-3,2]=>[2,-3,5,1,4]
[4,1,5,-3,-2]=>[-2,-3,5,1,4]
[4,1,-5,3,2]=>[2,3,-5,1,4]
[4,1,-5,3,-2]=>[-2,3,-5,1,4]
[4,1,-5,-3,2]=>[2,-3,-5,1,4]
[4,1,-5,-3,-2]=>[-2,-3,-5,1,4]
[4,-1,5,3,2]=>[2,3,5,-1,4]
[4,-1,5,3,-2]=>[-2,3,5,-1,4]
[4,-1,5,-3,2]=>[2,-3,5,-1,4]
[4,-1,5,-3,-2]=>[-2,-3,5,-1,4]
[4,-1,-5,3,2]=>[2,3,-5,-1,4]
[4,-1,-5,3,-2]=>[-2,3,-5,-1,4]
[4,-1,-5,-3,2]=>[2,-3,-5,-1,4]
[4,-1,-5,-3,-2]=>[-2,-3,-5,-1,4]
[-4,1,5,3,2]=>[2,3,5,1,-4]
[-4,1,5,3,-2]=>[-2,3,5,1,-4]
[-4,1,5,-3,2]=>[2,-3,5,1,-4]
[-4,1,5,-3,-2]=>[-2,-3,5,1,-4]
[-4,1,-5,3,2]=>[2,3,-5,1,-4]
[-4,1,-5,3,-2]=>[-2,3,-5,1,-4]
[-4,1,-5,-3,2]=>[2,-3,-5,1,-4]
[-4,1,-5,-3,-2]=>[-2,-3,-5,1,-4]
[-4,-1,5,3,2]=>[2,3,5,-1,-4]
[-4,-1,5,3,-2]=>[-2,3,5,-1,-4]
[-4,-1,5,-3,2]=>[2,-3,5,-1,-4]
[-4,-1,5,-3,-2]=>[-2,-3,5,-1,-4]
[-4,-1,-5,3,2]=>[2,3,-5,-1,-4]
[-4,-1,-5,3,-2]=>[-2,3,-5,-1,-4]
[-4,-1,-5,-3,2]=>[2,-3,-5,-1,-4]
[-4,-1,-5,-3,-2]=>[-2,-3,-5,-1,-4]
[4,2,1,3,5]=>[5,3,1,2,4]
[4,2,1,3,-5]=>[-5,3,1,2,4]
[4,2,1,-3,5]=>[5,-3,1,2,4]
[4,2,1,-3,-5]=>[-5,-3,1,2,4]
[4,2,-1,3,5]=>[5,3,-1,2,4]
[4,2,-1,3,-5]=>[-5,3,-1,2,4]
[4,2,-1,-3,5]=>[5,-3,-1,2,4]
[4,2,-1,-3,-5]=>[-5,-3,-1,2,4]
[4,-2,1,3,5]=>[5,3,1,-2,4]
[4,-2,1,3,-5]=>[-5,3,1,-2,4]
[4,-2,1,-3,5]=>[5,-3,1,-2,4]
[4,-2,1,-3,-5]=>[-5,-3,1,-2,4]
[4,-2,-1,3,5]=>[5,3,-1,-2,4]
[4,-2,-1,3,-5]=>[-5,3,-1,-2,4]
[4,-2,-1,-3,5]=>[5,-3,-1,-2,4]
[4,-2,-1,-3,-5]=>[-5,-3,-1,-2,4]
[-4,2,1,3,5]=>[5,3,1,2,-4]
[-4,2,1,3,-5]=>[-5,3,1,2,-4]
[-4,2,1,-3,5]=>[5,-3,1,2,-4]
[-4,2,1,-3,-5]=>[-5,-3,1,2,-4]
[-4,2,-1,3,5]=>[5,3,-1,2,-4]
[-4,2,-1,3,-5]=>[-5,3,-1,2,-4]
[-4,2,-1,-3,5]=>[5,-3,-1,2,-4]
[-4,2,-1,-3,-5]=>[-5,-3,-1,2,-4]
[-4,-2,1,3,5]=>[5,3,1,-2,-4]
[-4,-2,1,3,-5]=>[-5,3,1,-2,-4]
[-4,-2,1,-3,5]=>[5,-3,1,-2,-4]
[-4,-2,1,-3,-5]=>[-5,-3,1,-2,-4]
[-4,-2,-1,3,5]=>[5,3,-1,-2,-4]
[-4,-2,-1,3,-5]=>[-5,3,-1,-2,-4]
[-4,-2,-1,-3,5]=>[5,-3,-1,-2,-4]
[-4,-2,-1,-3,-5]=>[-5,-3,-1,-2,-4]
[4,2,1,5,3]=>[3,5,1,2,4]
[4,2,1,5,-3]=>[-3,5,1,2,4]
[4,2,1,-5,3]=>[3,-5,1,2,4]
[4,2,1,-5,-3]=>[-3,-5,1,2,4]
[4,2,-1,5,3]=>[3,5,-1,2,4]
[4,2,-1,5,-3]=>[-3,5,-1,2,4]
[4,2,-1,-5,3]=>[3,-5,-1,2,4]
[4,2,-1,-5,-3]=>[-3,-5,-1,2,4]
[4,-2,1,5,3]=>[3,5,1,-2,4]
[4,-2,1,5,-3]=>[-3,5,1,-2,4]
[4,-2,1,-5,3]=>[3,-5,1,-2,4]
[4,-2,1,-5,-3]=>[-3,-5,1,-2,4]
[4,-2,-1,5,3]=>[3,5,-1,-2,4]
[4,-2,-1,5,-3]=>[-3,5,-1,-2,4]
[4,-2,-1,-5,3]=>[3,-5,-1,-2,4]
[4,-2,-1,-5,-3]=>[-3,-5,-1,-2,4]
[-4,2,1,5,3]=>[3,5,1,2,-4]
[-4,2,1,5,-3]=>[-3,5,1,2,-4]
[-4,2,1,-5,3]=>[3,-5,1,2,-4]
[-4,2,1,-5,-3]=>[-3,-5,1,2,-4]
[-4,2,-1,5,3]=>[3,5,-1,2,-4]
[-4,2,-1,5,-3]=>[-3,5,-1,2,-4]
[-4,2,-1,-5,3]=>[3,-5,-1,2,-4]
[-4,2,-1,-5,-3]=>[-3,-5,-1,2,-4]
[-4,-2,1,5,3]=>[3,5,1,-2,-4]
[-4,-2,1,5,-3]=>[-3,5,1,-2,-4]
[-4,-2,1,-5,3]=>[3,-5,1,-2,-4]
[-4,-2,1,-5,-3]=>[-3,-5,1,-2,-4]
[-4,-2,-1,5,3]=>[3,5,-1,-2,-4]
[-4,-2,-1,5,-3]=>[-3,5,-1,-2,-4]
[-4,-2,-1,-5,3]=>[3,-5,-1,-2,-4]
[-4,-2,-1,-5,-3]=>[-3,-5,-1,-2,-4]
[4,2,3,1,5]=>[5,1,3,2,4]
[4,2,3,1,-5]=>[-5,1,3,2,4]
[4,2,3,-1,5]=>[5,-1,3,2,4]
[4,2,3,-1,-5]=>[-5,-1,3,2,4]
[4,2,-3,1,5]=>[5,1,-3,2,4]
[4,2,-3,1,-5]=>[-5,1,-3,2,4]
[4,2,-3,-1,5]=>[5,-1,-3,2,4]
[4,2,-3,-1,-5]=>[-5,-1,-3,2,4]
[4,-2,3,1,5]=>[5,1,3,-2,4]
[4,-2,3,1,-5]=>[-5,1,3,-2,4]
[4,-2,3,-1,5]=>[5,-1,3,-2,4]
[4,-2,3,-1,-5]=>[-5,-1,3,-2,4]
[4,-2,-3,1,5]=>[5,1,-3,-2,4]
[4,-2,-3,1,-5]=>[-5,1,-3,-2,4]
[4,-2,-3,-1,5]=>[5,-1,-3,-2,4]
[4,-2,-3,-1,-5]=>[-5,-1,-3,-2,4]
[-4,2,3,1,5]=>[5,1,3,2,-4]
[-4,2,3,1,-5]=>[-5,1,3,2,-4]
[-4,2,3,-1,5]=>[5,-1,3,2,-4]
[-4,2,3,-1,-5]=>[-5,-1,3,2,-4]
[-4,2,-3,1,5]=>[5,1,-3,2,-4]
[-4,2,-3,1,-5]=>[-5,1,-3,2,-4]
[-4,2,-3,-1,5]=>[5,-1,-3,2,-4]
[-4,2,-3,-1,-5]=>[-5,-1,-3,2,-4]
[-4,-2,3,1,5]=>[5,1,3,-2,-4]
[-4,-2,3,1,-5]=>[-5,1,3,-2,-4]
[-4,-2,3,-1,5]=>[5,-1,3,-2,-4]
[-4,-2,3,-1,-5]=>[-5,-1,3,-2,-4]
[-4,-2,-3,1,5]=>[5,1,-3,-2,-4]
[-4,-2,-3,1,-5]=>[-5,1,-3,-2,-4]
[-4,-2,-3,-1,5]=>[5,-1,-3,-2,-4]
[-4,-2,-3,-1,-5]=>[-5,-1,-3,-2,-4]
[4,2,3,5,1]=>[1,5,3,2,4]
[4,2,3,5,-1]=>[-1,5,3,2,4]
[4,2,3,-5,1]=>[1,-5,3,2,4]
[4,2,3,-5,-1]=>[-1,-5,3,2,4]
[4,2,-3,5,1]=>[1,5,-3,2,4]
[4,2,-3,5,-1]=>[-1,5,-3,2,4]
[4,2,-3,-5,1]=>[1,-5,-3,2,4]
[4,2,-3,-5,-1]=>[-1,-5,-3,2,4]
[4,-2,3,5,1]=>[1,5,3,-2,4]
[4,-2,3,5,-1]=>[-1,5,3,-2,4]
[4,-2,3,-5,1]=>[1,-5,3,-2,4]
[4,-2,3,-5,-1]=>[-1,-5,3,-2,4]
[4,-2,-3,5,1]=>[1,5,-3,-2,4]
[4,-2,-3,5,-1]=>[-1,5,-3,-2,4]
[4,-2,-3,-5,1]=>[1,-5,-3,-2,4]
[4,-2,-3,-5,-1]=>[-1,-5,-3,-2,4]
[-4,2,3,5,1]=>[1,5,3,2,-4]
[-4,2,3,5,-1]=>[-1,5,3,2,-4]
[-4,2,3,-5,1]=>[1,-5,3,2,-4]
[-4,2,3,-5,-1]=>[-1,-5,3,2,-4]
[-4,2,-3,5,1]=>[1,5,-3,2,-4]
[-4,2,-3,5,-1]=>[-1,5,-3,2,-4]
[-4,2,-3,-5,1]=>[1,-5,-3,2,-4]
[-4,2,-3,-5,-1]=>[-1,-5,-3,2,-4]
[-4,-2,3,5,1]=>[1,5,3,-2,-4]
[-4,-2,3,5,-1]=>[-1,5,3,-2,-4]
[-4,-2,3,-5,1]=>[1,-5,3,-2,-4]
[-4,-2,3,-5,-1]=>[-1,-5,3,-2,-4]
[-4,-2,-3,5,1]=>[1,5,-3,-2,-4]
[-4,-2,-3,5,-1]=>[-1,5,-3,-2,-4]
[-4,-2,-3,-5,1]=>[1,-5,-3,-2,-4]
[-4,-2,-3,-5,-1]=>[-1,-5,-3,-2,-4]
[4,2,5,1,3]=>[3,1,5,2,4]
[4,2,5,1,-3]=>[-3,1,5,2,4]
[4,2,5,-1,3]=>[3,-1,5,2,4]
[4,2,5,-1,-3]=>[-3,-1,5,2,4]
[4,2,-5,1,3]=>[3,1,-5,2,4]
[4,2,-5,1,-3]=>[-3,1,-5,2,4]
[4,2,-5,-1,3]=>[3,-1,-5,2,4]
[4,2,-5,-1,-3]=>[-3,-1,-5,2,4]
[4,-2,5,1,3]=>[3,1,5,-2,4]
[4,-2,5,1,-3]=>[-3,1,5,-2,4]
[4,-2,5,-1,3]=>[3,-1,5,-2,4]
[4,-2,5,-1,-3]=>[-3,-1,5,-2,4]
[4,-2,-5,1,3]=>[3,1,-5,-2,4]
[4,-2,-5,1,-3]=>[-3,1,-5,-2,4]
[4,-2,-5,-1,3]=>[3,-1,-5,-2,4]
[4,-2,-5,-1,-3]=>[-3,-1,-5,-2,4]
[-4,2,5,1,3]=>[3,1,5,2,-4]
[-4,2,5,1,-3]=>[-3,1,5,2,-4]
[-4,2,5,-1,3]=>[3,-1,5,2,-4]
[-4,2,5,-1,-3]=>[-3,-1,5,2,-4]
[-4,2,-5,1,3]=>[3,1,-5,2,-4]
[-4,2,-5,1,-3]=>[-3,1,-5,2,-4]
[-4,2,-5,-1,3]=>[3,-1,-5,2,-4]
[-4,2,-5,-1,-3]=>[-3,-1,-5,2,-4]
[-4,-2,5,1,3]=>[3,1,5,-2,-4]
[-4,-2,5,1,-3]=>[-3,1,5,-2,-4]
[-4,-2,5,-1,3]=>[3,-1,5,-2,-4]
[-4,-2,5,-1,-3]=>[-3,-1,5,-2,-4]
[-4,-2,-5,1,3]=>[3,1,-5,-2,-4]
[-4,-2,-5,1,-3]=>[-3,1,-5,-2,-4]
[-4,-2,-5,-1,3]=>[3,-1,-5,-2,-4]
[-4,-2,-5,-1,-3]=>[-3,-1,-5,-2,-4]
[4,2,5,3,1]=>[1,3,5,2,4]
[4,2,5,3,-1]=>[-1,3,5,2,4]
[4,2,5,-3,1]=>[1,-3,5,2,4]
[4,2,5,-3,-1]=>[-1,-3,5,2,4]
[4,2,-5,3,1]=>[1,3,-5,2,4]
[4,2,-5,3,-1]=>[-1,3,-5,2,4]
[4,2,-5,-3,1]=>[1,-3,-5,2,4]
[4,2,-5,-3,-1]=>[-1,-3,-5,2,4]
[4,-2,5,3,1]=>[1,3,5,-2,4]
[4,-2,5,3,-1]=>[-1,3,5,-2,4]
[4,-2,5,-3,1]=>[1,-3,5,-2,4]
[4,-2,5,-3,-1]=>[-1,-3,5,-2,4]
[4,-2,-5,3,1]=>[1,3,-5,-2,4]
[4,-2,-5,3,-1]=>[-1,3,-5,-2,4]
[4,-2,-5,-3,1]=>[1,-3,-5,-2,4]
[4,-2,-5,-3,-1]=>[-1,-3,-5,-2,4]
[-4,2,5,3,1]=>[1,3,5,2,-4]
[-4,2,5,3,-1]=>[-1,3,5,2,-4]
[-4,2,5,-3,1]=>[1,-3,5,2,-4]
[-4,2,5,-3,-1]=>[-1,-3,5,2,-4]
[-4,2,-5,3,1]=>[1,3,-5,2,-4]
[-4,2,-5,3,-1]=>[-1,3,-5,2,-4]
[-4,2,-5,-3,1]=>[1,-3,-5,2,-4]
[-4,2,-5,-3,-1]=>[-1,-3,-5,2,-4]
[-4,-2,5,3,1]=>[1,3,5,-2,-4]
[-4,-2,5,3,-1]=>[-1,3,5,-2,-4]
[-4,-2,5,-3,1]=>[1,-3,5,-2,-4]
[-4,-2,5,-3,-1]=>[-1,-3,5,-2,-4]
[-4,-2,-5,3,1]=>[1,3,-5,-2,-4]
[-4,-2,-5,3,-1]=>[-1,3,-5,-2,-4]
[-4,-2,-5,-3,1]=>[1,-3,-5,-2,-4]
[-4,-2,-5,-3,-1]=>[-1,-3,-5,-2,-4]
[4,3,1,2,5]=>[5,2,1,3,4]
[4,3,1,2,-5]=>[-5,2,1,3,4]
[4,3,1,-2,5]=>[5,-2,1,3,4]
[4,3,1,-2,-5]=>[-5,-2,1,3,4]
[4,3,-1,2,5]=>[5,2,-1,3,4]
[4,3,-1,2,-5]=>[-5,2,-1,3,4]
[4,3,-1,-2,5]=>[5,-2,-1,3,4]
[4,3,-1,-2,-5]=>[-5,-2,-1,3,4]
[4,-3,1,2,5]=>[5,2,1,-3,4]
[4,-3,1,2,-5]=>[-5,2,1,-3,4]
[4,-3,1,-2,5]=>[5,-2,1,-3,4]
[4,-3,1,-2,-5]=>[-5,-2,1,-3,4]
[4,-3,-1,2,5]=>[5,2,-1,-3,4]
[4,-3,-1,2,-5]=>[-5,2,-1,-3,4]
[4,-3,-1,-2,5]=>[5,-2,-1,-3,4]
[4,-3,-1,-2,-5]=>[-5,-2,-1,-3,4]
[-4,3,1,2,5]=>[5,2,1,3,-4]
[-4,3,1,2,-5]=>[-5,2,1,3,-4]
[-4,3,1,-2,5]=>[5,-2,1,3,-4]
[-4,3,1,-2,-5]=>[-5,-2,1,3,-4]
[-4,3,-1,2,5]=>[5,2,-1,3,-4]
[-4,3,-1,2,-5]=>[-5,2,-1,3,-4]
[-4,3,-1,-2,5]=>[5,-2,-1,3,-4]
[-4,3,-1,-2,-5]=>[-5,-2,-1,3,-4]
[-4,-3,1,2,5]=>[5,2,1,-3,-4]
[-4,-3,1,2,-5]=>[-5,2,1,-3,-4]
[-4,-3,1,-2,5]=>[5,-2,1,-3,-4]
[-4,-3,1,-2,-5]=>[-5,-2,1,-3,-4]
[-4,-3,-1,2,5]=>[5,2,-1,-3,-4]
[-4,-3,-1,2,-5]=>[-5,2,-1,-3,-4]
[-4,-3,-1,-2,5]=>[5,-2,-1,-3,-4]
[-4,-3,-1,-2,-5]=>[-5,-2,-1,-3,-4]
[4,3,1,5,2]=>[2,5,1,3,4]
[4,3,1,5,-2]=>[-2,5,1,3,4]
[4,3,1,-5,2]=>[2,-5,1,3,4]
[4,3,1,-5,-2]=>[-2,-5,1,3,4]
[4,3,-1,5,2]=>[2,5,-1,3,4]
[4,3,-1,5,-2]=>[-2,5,-1,3,4]
[4,3,-1,-5,2]=>[2,-5,-1,3,4]
[4,3,-1,-5,-2]=>[-2,-5,-1,3,4]
[4,-3,1,5,2]=>[2,5,1,-3,4]
[4,-3,1,5,-2]=>[-2,5,1,-3,4]
[4,-3,1,-5,2]=>[2,-5,1,-3,4]
[4,-3,1,-5,-2]=>[-2,-5,1,-3,4]
[4,-3,-1,5,2]=>[2,5,-1,-3,4]
[4,-3,-1,5,-2]=>[-2,5,-1,-3,4]
[4,-3,-1,-5,2]=>[2,-5,-1,-3,4]
[4,-3,-1,-5,-2]=>[-2,-5,-1,-3,4]
[-4,3,1,5,2]=>[2,5,1,3,-4]
[-4,3,1,5,-2]=>[-2,5,1,3,-4]
[-4,3,1,-5,2]=>[2,-5,1,3,-4]
[-4,3,1,-5,-2]=>[-2,-5,1,3,-4]
[-4,3,-1,5,2]=>[2,5,-1,3,-4]
[-4,3,-1,5,-2]=>[-2,5,-1,3,-4]
[-4,3,-1,-5,2]=>[2,-5,-1,3,-4]
[-4,3,-1,-5,-2]=>[-2,-5,-1,3,-4]
[-4,-3,1,5,2]=>[2,5,1,-3,-4]
[-4,-3,1,5,-2]=>[-2,5,1,-3,-4]
[-4,-3,1,-5,2]=>[2,-5,1,-3,-4]
[-4,-3,1,-5,-2]=>[-2,-5,1,-3,-4]
[-4,-3,-1,5,2]=>[2,5,-1,-3,-4]
[-4,-3,-1,5,-2]=>[-2,5,-1,-3,-4]
[-4,-3,-1,-5,2]=>[2,-5,-1,-3,-4]
[-4,-3,-1,-5,-2]=>[-2,-5,-1,-3,-4]
[4,3,2,1,5]=>[5,1,2,3,4]
[4,3,2,1,-5]=>[-5,1,2,3,4]
[4,3,2,-1,5]=>[5,-1,2,3,4]
[4,3,2,-1,-5]=>[-5,-1,2,3,4]
[4,3,-2,1,5]=>[5,1,-2,3,4]
[4,3,-2,1,-5]=>[-5,1,-2,3,4]
[4,3,-2,-1,5]=>[5,-1,-2,3,4]
[4,3,-2,-1,-5]=>[-5,-1,-2,3,4]
[4,-3,2,1,5]=>[5,1,2,-3,4]
[4,-3,2,1,-5]=>[-5,1,2,-3,4]
[4,-3,2,-1,5]=>[5,-1,2,-3,4]
[4,-3,2,-1,-5]=>[-5,-1,2,-3,4]
[4,-3,-2,1,5]=>[5,1,-2,-3,4]
[4,-3,-2,1,-5]=>[-5,1,-2,-3,4]
[4,-3,-2,-1,5]=>[5,-1,-2,-3,4]
[4,-3,-2,-1,-5]=>[-5,-1,-2,-3,4]
[-4,3,2,1,5]=>[5,1,2,3,-4]
[-4,3,2,1,-5]=>[-5,1,2,3,-4]
[-4,3,2,-1,5]=>[5,-1,2,3,-4]
[-4,3,2,-1,-5]=>[-5,-1,2,3,-4]
[-4,3,-2,1,5]=>[5,1,-2,3,-4]
[-4,3,-2,1,-5]=>[-5,1,-2,3,-4]
[-4,3,-2,-1,5]=>[5,-1,-2,3,-4]
[-4,3,-2,-1,-5]=>[-5,-1,-2,3,-4]
[-4,-3,2,1,5]=>[5,1,2,-3,-4]
[-4,-3,2,1,-5]=>[-5,1,2,-3,-4]
[-4,-3,2,-1,5]=>[5,-1,2,-3,-4]
[-4,-3,2,-1,-5]=>[-5,-1,2,-3,-4]
[-4,-3,-2,1,5]=>[5,1,-2,-3,-4]
[-4,-3,-2,1,-5]=>[-5,1,-2,-3,-4]
[-4,-3,-2,-1,5]=>[5,-1,-2,-3,-4]
[-4,-3,-2,-1,-5]=>[-5,-1,-2,-3,-4]
[4,3,2,5,1]=>[1,5,2,3,4]
[4,3,2,5,-1]=>[-1,5,2,3,4]
[4,3,2,-5,1]=>[1,-5,2,3,4]
[4,3,2,-5,-1]=>[-1,-5,2,3,4]
[4,3,-2,5,1]=>[1,5,-2,3,4]
[4,3,-2,5,-1]=>[-1,5,-2,3,4]
[4,3,-2,-5,1]=>[1,-5,-2,3,4]
[4,3,-2,-5,-1]=>[-1,-5,-2,3,4]
[4,-3,2,5,1]=>[1,5,2,-3,4]
[4,-3,2,5,-1]=>[-1,5,2,-3,4]
[4,-3,2,-5,1]=>[1,-5,2,-3,4]
[4,-3,2,-5,-1]=>[-1,-5,2,-3,4]
[4,-3,-2,5,1]=>[1,5,-2,-3,4]
[4,-3,-2,5,-1]=>[-1,5,-2,-3,4]
[4,-3,-2,-5,1]=>[1,-5,-2,-3,4]
[4,-3,-2,-5,-1]=>[-1,-5,-2,-3,4]
[-4,3,2,5,1]=>[1,5,2,3,-4]
[-4,3,2,5,-1]=>[-1,5,2,3,-4]
[-4,3,2,-5,1]=>[1,-5,2,3,-4]
[-4,3,2,-5,-1]=>[-1,-5,2,3,-4]
[-4,3,-2,5,1]=>[1,5,-2,3,-4]
[-4,3,-2,5,-1]=>[-1,5,-2,3,-4]
[-4,3,-2,-5,1]=>[1,-5,-2,3,-4]
[-4,3,-2,-5,-1]=>[-1,-5,-2,3,-4]
[-4,-3,2,5,1]=>[1,5,2,-3,-4]
[-4,-3,2,5,-1]=>[-1,5,2,-3,-4]
[-4,-3,2,-5,1]=>[1,-5,2,-3,-4]
[-4,-3,2,-5,-1]=>[-1,-5,2,-3,-4]
[-4,-3,-2,5,1]=>[1,5,-2,-3,-4]
[-4,-3,-2,5,-1]=>[-1,5,-2,-3,-4]
[-4,-3,-2,-5,1]=>[1,-5,-2,-3,-4]
[-4,-3,-2,-5,-1]=>[-1,-5,-2,-3,-4]
[4,3,5,1,2]=>[2,1,5,3,4]
[4,3,5,1,-2]=>[-2,1,5,3,4]
[4,3,5,-1,2]=>[2,-1,5,3,4]
[4,3,5,-1,-2]=>[-2,-1,5,3,4]
[4,3,-5,1,2]=>[2,1,-5,3,4]
[4,3,-5,1,-2]=>[-2,1,-5,3,4]
[4,3,-5,-1,2]=>[2,-1,-5,3,4]
[4,3,-5,-1,-2]=>[-2,-1,-5,3,4]
[4,-3,5,1,2]=>[2,1,5,-3,4]
[4,-3,5,1,-2]=>[-2,1,5,-3,4]
[4,-3,5,-1,2]=>[2,-1,5,-3,4]
[4,-3,5,-1,-2]=>[-2,-1,5,-3,4]
[4,-3,-5,1,2]=>[2,1,-5,-3,4]
[4,-3,-5,1,-2]=>[-2,1,-5,-3,4]
[4,-3,-5,-1,2]=>[2,-1,-5,-3,4]
[4,-3,-5,-1,-2]=>[-2,-1,-5,-3,4]
[-4,3,5,1,2]=>[2,1,5,3,-4]
[-4,3,5,1,-2]=>[-2,1,5,3,-4]
[-4,3,5,-1,2]=>[2,-1,5,3,-4]
[-4,3,5,-1,-2]=>[-2,-1,5,3,-4]
[-4,3,-5,1,2]=>[2,1,-5,3,-4]
[-4,3,-5,1,-2]=>[-2,1,-5,3,-4]
[-4,3,-5,-1,2]=>[2,-1,-5,3,-4]
[-4,3,-5,-1,-2]=>[-2,-1,-5,3,-4]
[-4,-3,5,1,2]=>[2,1,5,-3,-4]
[-4,-3,5,1,-2]=>[-2,1,5,-3,-4]
[-4,-3,5,-1,2]=>[2,-1,5,-3,-4]
[-4,-3,5,-1,-2]=>[-2,-1,5,-3,-4]
[-4,-3,-5,1,2]=>[2,1,-5,-3,-4]
[-4,-3,-5,1,-2]=>[-2,1,-5,-3,-4]
[-4,-3,-5,-1,2]=>[2,-1,-5,-3,-4]
[-4,-3,-5,-1,-2]=>[-2,-1,-5,-3,-4]
[4,3,5,2,1]=>[1,2,5,3,4]
[4,3,5,2,-1]=>[-1,2,5,3,4]
[4,3,5,-2,1]=>[1,-2,5,3,4]
[4,3,5,-2,-1]=>[-1,-2,5,3,4]
[4,3,-5,2,1]=>[1,2,-5,3,4]
[4,3,-5,2,-1]=>[-1,2,-5,3,4]
[4,3,-5,-2,1]=>[1,-2,-5,3,4]
[4,3,-5,-2,-1]=>[-1,-2,-5,3,4]
[4,-3,5,2,1]=>[1,2,5,-3,4]
[4,-3,5,2,-1]=>[-1,2,5,-3,4]
[4,-3,5,-2,1]=>[1,-2,5,-3,4]
[4,-3,5,-2,-1]=>[-1,-2,5,-3,4]
[4,-3,-5,2,1]=>[1,2,-5,-3,4]
[4,-3,-5,2,-1]=>[-1,2,-5,-3,4]
[4,-3,-5,-2,1]=>[1,-2,-5,-3,4]
[4,-3,-5,-2,-1]=>[-1,-2,-5,-3,4]
[-4,3,5,2,1]=>[1,2,5,3,-4]
[-4,3,5,2,-1]=>[-1,2,5,3,-4]
[-4,3,5,-2,1]=>[1,-2,5,3,-4]
[-4,3,5,-2,-1]=>[-1,-2,5,3,-4]
[-4,3,-5,2,1]=>[1,2,-5,3,-4]
[-4,3,-5,2,-1]=>[-1,2,-5,3,-4]
[-4,3,-5,-2,1]=>[1,-2,-5,3,-4]
[-4,3,-5,-2,-1]=>[-1,-2,-5,3,-4]
[-4,-3,5,2,1]=>[1,2,5,-3,-4]
[-4,-3,5,2,-1]=>[-1,2,5,-3,-4]
[-4,-3,5,-2,1]=>[1,-2,5,-3,-4]
[-4,-3,5,-2,-1]=>[-1,-2,5,-3,-4]
[-4,-3,-5,2,1]=>[1,2,-5,-3,-4]
[-4,-3,-5,2,-1]=>[-1,2,-5,-3,-4]
[-4,-3,-5,-2,1]=>[1,-2,-5,-3,-4]
[-4,-3,-5,-2,-1]=>[-1,-2,-5,-3,-4]
[4,5,1,2,3]=>[3,2,1,5,4]
[4,5,1,2,-3]=>[-3,2,1,5,4]
[4,5,1,-2,3]=>[3,-2,1,5,4]
[4,5,1,-2,-3]=>[-3,-2,1,5,4]
[4,5,-1,2,3]=>[3,2,-1,5,4]
[4,5,-1,2,-3]=>[-3,2,-1,5,4]
[4,5,-1,-2,3]=>[3,-2,-1,5,4]
[4,5,-1,-2,-3]=>[-3,-2,-1,5,4]
[4,-5,1,2,3]=>[3,2,1,-5,4]
[4,-5,1,2,-3]=>[-3,2,1,-5,4]
[4,-5,1,-2,3]=>[3,-2,1,-5,4]
[4,-5,1,-2,-3]=>[-3,-2,1,-5,4]
[4,-5,-1,2,3]=>[3,2,-1,-5,4]
[4,-5,-1,2,-3]=>[-3,2,-1,-5,4]
[4,-5,-1,-2,3]=>[3,-2,-1,-5,4]
[4,-5,-1,-2,-3]=>[-3,-2,-1,-5,4]
[-4,5,1,2,3]=>[3,2,1,5,-4]
[-4,5,1,2,-3]=>[-3,2,1,5,-4]
[-4,5,1,-2,3]=>[3,-2,1,5,-4]
[-4,5,1,-2,-3]=>[-3,-2,1,5,-4]
[-4,5,-1,2,3]=>[3,2,-1,5,-4]
[-4,5,-1,2,-3]=>[-3,2,-1,5,-4]
[-4,5,-1,-2,3]=>[3,-2,-1,5,-4]
[-4,5,-1,-2,-3]=>[-3,-2,-1,5,-4]
[-4,-5,1,2,3]=>[3,2,1,-5,-4]
[-4,-5,1,2,-3]=>[-3,2,1,-5,-4]
[-4,-5,1,-2,3]=>[3,-2,1,-5,-4]
[-4,-5,1,-2,-3]=>[-3,-2,1,-5,-4]
[-4,-5,-1,2,3]=>[3,2,-1,-5,-4]
[-4,-5,-1,2,-3]=>[-3,2,-1,-5,-4]
[-4,-5,-1,-2,3]=>[3,-2,-1,-5,-4]
[-4,-5,-1,-2,-3]=>[-3,-2,-1,-5,-4]
[4,5,1,3,2]=>[2,3,1,5,4]
[4,5,1,3,-2]=>[-2,3,1,5,4]
[4,5,1,-3,2]=>[2,-3,1,5,4]
[4,5,1,-3,-2]=>[-2,-3,1,5,4]
[4,5,-1,3,2]=>[2,3,-1,5,4]
[4,5,-1,3,-2]=>[-2,3,-1,5,4]
[4,5,-1,-3,2]=>[2,-3,-1,5,4]
[4,5,-1,-3,-2]=>[-2,-3,-1,5,4]
[4,-5,1,3,2]=>[2,3,1,-5,4]
[4,-5,1,3,-2]=>[-2,3,1,-5,4]
[4,-5,1,-3,2]=>[2,-3,1,-5,4]
[4,-5,1,-3,-2]=>[-2,-3,1,-5,4]
[4,-5,-1,3,2]=>[2,3,-1,-5,4]
[4,-5,-1,3,-2]=>[-2,3,-1,-5,4]
[4,-5,-1,-3,2]=>[2,-3,-1,-5,4]
[4,-5,-1,-3,-2]=>[-2,-3,-1,-5,4]
[-4,5,1,3,2]=>[2,3,1,5,-4]
[-4,5,1,3,-2]=>[-2,3,1,5,-4]
[-4,5,1,-3,2]=>[2,-3,1,5,-4]
[-4,5,1,-3,-2]=>[-2,-3,1,5,-4]
[-4,5,-1,3,2]=>[2,3,-1,5,-4]
[-4,5,-1,3,-2]=>[-2,3,-1,5,-4]
[-4,5,-1,-3,2]=>[2,-3,-1,5,-4]
[-4,5,-1,-3,-2]=>[-2,-3,-1,5,-4]
[-4,-5,1,3,2]=>[2,3,1,-5,-4]
[-4,-5,1,3,-2]=>[-2,3,1,-5,-4]
[-4,-5,1,-3,2]=>[2,-3,1,-5,-4]
[-4,-5,1,-3,-2]=>[-2,-3,1,-5,-4]
[-4,-5,-1,3,2]=>[2,3,-1,-5,-4]
[-4,-5,-1,3,-2]=>[-2,3,-1,-5,-4]
[-4,-5,-1,-3,2]=>[2,-3,-1,-5,-4]
[-4,-5,-1,-3,-2]=>[-2,-3,-1,-5,-4]
[4,5,2,1,3]=>[3,1,2,5,4]
[4,5,2,1,-3]=>[-3,1,2,5,4]
[4,5,2,-1,3]=>[3,-1,2,5,4]
[4,5,2,-1,-3]=>[-3,-1,2,5,4]
[4,5,-2,1,3]=>[3,1,-2,5,4]
[4,5,-2,1,-3]=>[-3,1,-2,5,4]
[4,5,-2,-1,3]=>[3,-1,-2,5,4]
[4,5,-2,-1,-3]=>[-3,-1,-2,5,4]
[4,-5,2,1,3]=>[3,1,2,-5,4]
[4,-5,2,1,-3]=>[-3,1,2,-5,4]
[4,-5,2,-1,3]=>[3,-1,2,-5,4]
[4,-5,2,-1,-3]=>[-3,-1,2,-5,4]
[4,-5,-2,1,3]=>[3,1,-2,-5,4]
[4,-5,-2,1,-3]=>[-3,1,-2,-5,4]
[4,-5,-2,-1,3]=>[3,-1,-2,-5,4]
[4,-5,-2,-1,-3]=>[-3,-1,-2,-5,4]
[-4,5,2,1,3]=>[3,1,2,5,-4]
[-4,5,2,1,-3]=>[-3,1,2,5,-4]
[-4,5,2,-1,3]=>[3,-1,2,5,-4]
[-4,5,2,-1,-3]=>[-3,-1,2,5,-4]
[-4,5,-2,1,3]=>[3,1,-2,5,-4]
[-4,5,-2,1,-3]=>[-3,1,-2,5,-4]
[-4,5,-2,-1,3]=>[3,-1,-2,5,-4]
[-4,5,-2,-1,-3]=>[-3,-1,-2,5,-4]
[-4,-5,2,1,3]=>[3,1,2,-5,-4]
[-4,-5,2,1,-3]=>[-3,1,2,-5,-4]
[-4,-5,2,-1,3]=>[3,-1,2,-5,-4]
[-4,-5,2,-1,-3]=>[-3,-1,2,-5,-4]
[-4,-5,-2,1,3]=>[3,1,-2,-5,-4]
[-4,-5,-2,1,-3]=>[-3,1,-2,-5,-4]
[-4,-5,-2,-1,3]=>[3,-1,-2,-5,-4]
[-4,-5,-2,-1,-3]=>[-3,-1,-2,-5,-4]
[4,5,2,3,1]=>[1,3,2,5,4]
[4,5,2,3,-1]=>[-1,3,2,5,4]
[4,5,2,-3,1]=>[1,-3,2,5,4]
[4,5,2,-3,-1]=>[-1,-3,2,5,4]
[4,5,-2,3,1]=>[1,3,-2,5,4]
[4,5,-2,3,-1]=>[-1,3,-2,5,4]
[4,5,-2,-3,1]=>[1,-3,-2,5,4]
[4,5,-2,-3,-1]=>[-1,-3,-2,5,4]
[4,-5,2,3,1]=>[1,3,2,-5,4]
[4,-5,2,3,-1]=>[-1,3,2,-5,4]
[4,-5,2,-3,1]=>[1,-3,2,-5,4]
[4,-5,2,-3,-1]=>[-1,-3,2,-5,4]
[4,-5,-2,3,1]=>[1,3,-2,-5,4]
[4,-5,-2,3,-1]=>[-1,3,-2,-5,4]
[4,-5,-2,-3,1]=>[1,-3,-2,-5,4]
[4,-5,-2,-3,-1]=>[-1,-3,-2,-5,4]
[-4,5,2,3,1]=>[1,3,2,5,-4]
[-4,5,2,3,-1]=>[-1,3,2,5,-4]
[-4,5,2,-3,1]=>[1,-3,2,5,-4]
[-4,5,2,-3,-1]=>[-1,-3,2,5,-4]
[-4,5,-2,3,1]=>[1,3,-2,5,-4]
[-4,5,-2,3,-1]=>[-1,3,-2,5,-4]
[-4,5,-2,-3,1]=>[1,-3,-2,5,-4]
[-4,5,-2,-3,-1]=>[-1,-3,-2,5,-4]
[-4,-5,2,3,1]=>[1,3,2,-5,-4]
[-4,-5,2,3,-1]=>[-1,3,2,-5,-4]
[-4,-5,2,-3,1]=>[1,-3,2,-5,-4]
[-4,-5,2,-3,-1]=>[-1,-3,2,-5,-4]
[-4,-5,-2,3,1]=>[1,3,-2,-5,-4]
[-4,-5,-2,3,-1]=>[-1,3,-2,-5,-4]
[-4,-5,-2,-3,1]=>[1,-3,-2,-5,-4]
[-4,-5,-2,-3,-1]=>[-1,-3,-2,-5,-4]
[4,5,3,1,2]=>[2,1,3,5,4]
[4,5,3,1,-2]=>[-2,1,3,5,4]
[4,5,3,-1,2]=>[2,-1,3,5,4]
[4,5,3,-1,-2]=>[-2,-1,3,5,4]
[4,5,-3,1,2]=>[2,1,-3,5,4]
[4,5,-3,1,-2]=>[-2,1,-3,5,4]
[4,5,-3,-1,2]=>[2,-1,-3,5,4]
[4,5,-3,-1,-2]=>[-2,-1,-3,5,4]
[4,-5,3,1,2]=>[2,1,3,-5,4]
[4,-5,3,1,-2]=>[-2,1,3,-5,4]
[4,-5,3,-1,2]=>[2,-1,3,-5,4]
[4,-5,3,-1,-2]=>[-2,-1,3,-5,4]
[4,-5,-3,1,2]=>[2,1,-3,-5,4]
[4,-5,-3,1,-2]=>[-2,1,-3,-5,4]
[4,-5,-3,-1,2]=>[2,-1,-3,-5,4]
[4,-5,-3,-1,-2]=>[-2,-1,-3,-5,4]
[-4,5,3,1,2]=>[2,1,3,5,-4]
[-4,5,3,1,-2]=>[-2,1,3,5,-4]
[-4,5,3,-1,2]=>[2,-1,3,5,-4]
[-4,5,3,-1,-2]=>[-2,-1,3,5,-4]
[-4,5,-3,1,2]=>[2,1,-3,5,-4]
[-4,5,-3,1,-2]=>[-2,1,-3,5,-4]
[-4,5,-3,-1,2]=>[2,-1,-3,5,-4]
[-4,5,-3,-1,-2]=>[-2,-1,-3,5,-4]
[-4,-5,3,1,2]=>[2,1,3,-5,-4]
[-4,-5,3,1,-2]=>[-2,1,3,-5,-4]
[-4,-5,3,-1,2]=>[2,-1,3,-5,-4]
[-4,-5,3,-1,-2]=>[-2,-1,3,-5,-4]
[-4,-5,-3,1,2]=>[2,1,-3,-5,-4]
[-4,-5,-3,1,-2]=>[-2,1,-3,-5,-4]
[-4,-5,-3,-1,2]=>[2,-1,-3,-5,-4]
[-4,-5,-3,-1,-2]=>[-2,-1,-3,-5,-4]
[4,5,3,2,1]=>[1,2,3,5,4]
[4,5,3,2,-1]=>[-1,2,3,5,4]
[4,5,3,-2,1]=>[1,-2,3,5,4]
[4,5,3,-2,-1]=>[-1,-2,3,5,4]
[4,5,-3,2,1]=>[1,2,-3,5,4]
[4,5,-3,2,-1]=>[-1,2,-3,5,4]
[4,5,-3,-2,1]=>[1,-2,-3,5,4]
[4,5,-3,-2,-1]=>[-1,-2,-3,5,4]
[4,-5,3,2,1]=>[1,2,3,-5,4]
[4,-5,3,2,-1]=>[-1,2,3,-5,4]
[4,-5,3,-2,1]=>[1,-2,3,-5,4]
[4,-5,3,-2,-1]=>[-1,-2,3,-5,4]
[4,-5,-3,2,1]=>[1,2,-3,-5,4]
[4,-5,-3,2,-1]=>[-1,2,-3,-5,4]
[4,-5,-3,-2,1]=>[1,-2,-3,-5,4]
[4,-5,-3,-2,-1]=>[-1,-2,-3,-5,4]
[-4,5,3,2,1]=>[1,2,3,5,-4]
[-4,5,3,2,-1]=>[-1,2,3,5,-4]
[-4,5,3,-2,1]=>[1,-2,3,5,-4]
[-4,5,3,-2,-1]=>[-1,-2,3,5,-4]
[-4,5,-3,2,1]=>[1,2,-3,5,-4]
[-4,5,-3,2,-1]=>[-1,2,-3,5,-4]
[-4,5,-3,-2,1]=>[1,-2,-3,5,-4]
[-4,5,-3,-2,-1]=>[-1,-2,-3,5,-4]
[-4,-5,3,2,1]=>[1,2,3,-5,-4]
[-4,-5,3,2,-1]=>[-1,2,3,-5,-4]
[-4,-5,3,-2,1]=>[1,-2,3,-5,-4]
[-4,-5,3,-2,-1]=>[-1,-2,3,-5,-4]
[-4,-5,-3,2,1]=>[1,2,-3,-5,-4]
[-4,-5,-3,2,-1]=>[-1,2,-3,-5,-4]
[-4,-5,-3,-2,1]=>[1,-2,-3,-5,-4]
[-4,-5,-3,-2,-1]=>[-1,-2,-3,-5,-4]
[5,1,2,3,4]=>[4,3,2,1,5]
[5,1,2,3,-4]=>[-4,3,2,1,5]
[5,1,2,-3,4]=>[4,-3,2,1,5]
[5,1,2,-3,-4]=>[-4,-3,2,1,5]
[5,1,-2,3,4]=>[4,3,-2,1,5]
[5,1,-2,3,-4]=>[-4,3,-2,1,5]
[5,1,-2,-3,4]=>[4,-3,-2,1,5]
[5,1,-2,-3,-4]=>[-4,-3,-2,1,5]
[5,-1,2,3,4]=>[4,3,2,-1,5]
[5,-1,2,3,-4]=>[-4,3,2,-1,5]
[5,-1,2,-3,4]=>[4,-3,2,-1,5]
[5,-1,2,-3,-4]=>[-4,-3,2,-1,5]
[5,-1,-2,3,4]=>[4,3,-2,-1,5]
[5,-1,-2,3,-4]=>[-4,3,-2,-1,5]
[5,-1,-2,-3,4]=>[4,-3,-2,-1,5]
[5,-1,-2,-3,-4]=>[-4,-3,-2,-1,5]
[-5,1,2,3,4]=>[4,3,2,1,-5]
[-5,1,2,3,-4]=>[-4,3,2,1,-5]
[-5,1,2,-3,4]=>[4,-3,2,1,-5]
[-5,1,2,-3,-4]=>[-4,-3,2,1,-5]
[-5,1,-2,3,4]=>[4,3,-2,1,-5]
[-5,1,-2,3,-4]=>[-4,3,-2,1,-5]
[-5,1,-2,-3,4]=>[4,-3,-2,1,-5]
[-5,1,-2,-3,-4]=>[-4,-3,-2,1,-5]
[-5,-1,2,3,4]=>[4,3,2,-1,-5]
[-5,-1,2,3,-4]=>[-4,3,2,-1,-5]
[-5,-1,2,-3,4]=>[4,-3,2,-1,-5]
[-5,-1,2,-3,-4]=>[-4,-3,2,-1,-5]
[-5,-1,-2,3,4]=>[4,3,-2,-1,-5]
[-5,-1,-2,3,-4]=>[-4,3,-2,-1,-5]
[-5,-1,-2,-3,4]=>[4,-3,-2,-1,-5]
[-5,-1,-2,-3,-4]=>[-4,-3,-2,-1,-5]
[5,1,2,4,3]=>[3,4,2,1,5]
[5,1,2,4,-3]=>[-3,4,2,1,5]
[5,1,2,-4,3]=>[3,-4,2,1,5]
[5,1,2,-4,-3]=>[-3,-4,2,1,5]
[5,1,-2,4,3]=>[3,4,-2,1,5]
[5,1,-2,4,-3]=>[-3,4,-2,1,5]
[5,1,-2,-4,3]=>[3,-4,-2,1,5]
[5,1,-2,-4,-3]=>[-3,-4,-2,1,5]
[5,-1,2,4,3]=>[3,4,2,-1,5]
[5,-1,2,4,-3]=>[-3,4,2,-1,5]
[5,-1,2,-4,3]=>[3,-4,2,-1,5]
[5,-1,2,-4,-3]=>[-3,-4,2,-1,5]
[5,-1,-2,4,3]=>[3,4,-2,-1,5]
[5,-1,-2,4,-3]=>[-3,4,-2,-1,5]
[5,-1,-2,-4,3]=>[3,-4,-2,-1,5]
[5,-1,-2,-4,-3]=>[-3,-4,-2,-1,5]
[-5,1,2,4,3]=>[3,4,2,1,-5]
[-5,1,2,4,-3]=>[-3,4,2,1,-5]
[-5,1,2,-4,3]=>[3,-4,2,1,-5]
[-5,1,2,-4,-3]=>[-3,-4,2,1,-5]
[-5,1,-2,4,3]=>[3,4,-2,1,-5]
[-5,1,-2,4,-3]=>[-3,4,-2,1,-5]
[-5,1,-2,-4,3]=>[3,-4,-2,1,-5]
[-5,1,-2,-4,-3]=>[-3,-4,-2,1,-5]
[-5,-1,2,4,3]=>[3,4,2,-1,-5]
[-5,-1,2,4,-3]=>[-3,4,2,-1,-5]
[-5,-1,2,-4,3]=>[3,-4,2,-1,-5]
[-5,-1,2,-4,-3]=>[-3,-4,2,-1,-5]
[-5,-1,-2,4,3]=>[3,4,-2,-1,-5]
[-5,-1,-2,4,-3]=>[-3,4,-2,-1,-5]
[-5,-1,-2,-4,3]=>[3,-4,-2,-1,-5]
[-5,-1,-2,-4,-3]=>[-3,-4,-2,-1,-5]
[5,1,3,2,4]=>[4,2,3,1,5]
[5,1,3,2,-4]=>[-4,2,3,1,5]
[5,1,3,-2,4]=>[4,-2,3,1,5]
[5,1,3,-2,-4]=>[-4,-2,3,1,5]
[5,1,-3,2,4]=>[4,2,-3,1,5]
[5,1,-3,2,-4]=>[-4,2,-3,1,5]
[5,1,-3,-2,4]=>[4,-2,-3,1,5]
[5,1,-3,-2,-4]=>[-4,-2,-3,1,5]
[5,-1,3,2,4]=>[4,2,3,-1,5]
[5,-1,3,2,-4]=>[-4,2,3,-1,5]
[5,-1,3,-2,4]=>[4,-2,3,-1,5]
[5,-1,3,-2,-4]=>[-4,-2,3,-1,5]
[5,-1,-3,2,4]=>[4,2,-3,-1,5]
[5,-1,-3,2,-4]=>[-4,2,-3,-1,5]
[5,-1,-3,-2,4]=>[4,-2,-3,-1,5]
[5,-1,-3,-2,-4]=>[-4,-2,-3,-1,5]
[-5,1,3,2,4]=>[4,2,3,1,-5]
[-5,1,3,2,-4]=>[-4,2,3,1,-5]
[-5,1,3,-2,4]=>[4,-2,3,1,-5]
[-5,1,3,-2,-4]=>[-4,-2,3,1,-5]
[-5,1,-3,2,4]=>[4,2,-3,1,-5]
[-5,1,-3,2,-4]=>[-4,2,-3,1,-5]
[-5,1,-3,-2,4]=>[4,-2,-3,1,-5]
[-5,1,-3,-2,-4]=>[-4,-2,-3,1,-5]
[-5,-1,3,2,4]=>[4,2,3,-1,-5]
[-5,-1,3,2,-4]=>[-4,2,3,-1,-5]
[-5,-1,3,-2,4]=>[4,-2,3,-1,-5]
[-5,-1,3,-2,-4]=>[-4,-2,3,-1,-5]
[-5,-1,-3,2,4]=>[4,2,-3,-1,-5]
[-5,-1,-3,2,-4]=>[-4,2,-3,-1,-5]
[-5,-1,-3,-2,4]=>[4,-2,-3,-1,-5]
[-5,-1,-3,-2,-4]=>[-4,-2,-3,-1,-5]
[5,1,3,4,2]=>[2,4,3,1,5]
[5,1,3,4,-2]=>[-2,4,3,1,5]
[5,1,3,-4,2]=>[2,-4,3,1,5]
[5,1,3,-4,-2]=>[-2,-4,3,1,5]
[5,1,-3,4,2]=>[2,4,-3,1,5]
[5,1,-3,4,-2]=>[-2,4,-3,1,5]
[5,1,-3,-4,2]=>[2,-4,-3,1,5]
[5,1,-3,-4,-2]=>[-2,-4,-3,1,5]
[5,-1,3,4,2]=>[2,4,3,-1,5]
[5,-1,3,4,-2]=>[-2,4,3,-1,5]
[5,-1,3,-4,2]=>[2,-4,3,-1,5]
[5,-1,3,-4,-2]=>[-2,-4,3,-1,5]
[5,-1,-3,4,2]=>[2,4,-3,-1,5]
[5,-1,-3,4,-2]=>[-2,4,-3,-1,5]
[5,-1,-3,-4,2]=>[2,-4,-3,-1,5]
[5,-1,-3,-4,-2]=>[-2,-4,-3,-1,5]
[-5,1,3,4,2]=>[2,4,3,1,-5]
[-5,1,3,4,-2]=>[-2,4,3,1,-5]
[-5,1,3,-4,2]=>[2,-4,3,1,-5]
[-5,1,3,-4,-2]=>[-2,-4,3,1,-5]
[-5,1,-3,4,2]=>[2,4,-3,1,-5]
[-5,1,-3,4,-2]=>[-2,4,-3,1,-5]
[-5,1,-3,-4,2]=>[2,-4,-3,1,-5]
[-5,1,-3,-4,-2]=>[-2,-4,-3,1,-5]
[-5,-1,3,4,2]=>[2,4,3,-1,-5]
[-5,-1,3,4,-2]=>[-2,4,3,-1,-5]
[-5,-1,3,-4,2]=>[2,-4,3,-1,-5]
[-5,-1,3,-4,-2]=>[-2,-4,3,-1,-5]
[-5,-1,-3,4,2]=>[2,4,-3,-1,-5]
[-5,-1,-3,4,-2]=>[-2,4,-3,-1,-5]
[-5,-1,-3,-4,2]=>[2,-4,-3,-1,-5]
[-5,-1,-3,-4,-2]=>[-2,-4,-3,-1,-5]
[5,1,4,2,3]=>[3,2,4,1,5]
[5,1,4,2,-3]=>[-3,2,4,1,5]
[5,1,4,-2,3]=>[3,-2,4,1,5]
[5,1,4,-2,-3]=>[-3,-2,4,1,5]
[5,1,-4,2,3]=>[3,2,-4,1,5]
[5,1,-4,2,-3]=>[-3,2,-4,1,5]
[5,1,-4,-2,3]=>[3,-2,-4,1,5]
[5,1,-4,-2,-3]=>[-3,-2,-4,1,5]
[5,-1,4,2,3]=>[3,2,4,-1,5]
[5,-1,4,2,-3]=>[-3,2,4,-1,5]
[5,-1,4,-2,3]=>[3,-2,4,-1,5]
[5,-1,4,-2,-3]=>[-3,-2,4,-1,5]
[5,-1,-4,2,3]=>[3,2,-4,-1,5]
[5,-1,-4,2,-3]=>[-3,2,-4,-1,5]
[5,-1,-4,-2,3]=>[3,-2,-4,-1,5]
[5,-1,-4,-2,-3]=>[-3,-2,-4,-1,5]
[-5,1,4,2,3]=>[3,2,4,1,-5]
[-5,1,4,2,-3]=>[-3,2,4,1,-5]
[-5,1,4,-2,3]=>[3,-2,4,1,-5]
[-5,1,4,-2,-3]=>[-3,-2,4,1,-5]
[-5,1,-4,2,3]=>[3,2,-4,1,-5]
[-5,1,-4,2,-3]=>[-3,2,-4,1,-5]
[-5,1,-4,-2,3]=>[3,-2,-4,1,-5]
[-5,1,-4,-2,-3]=>[-3,-2,-4,1,-5]
[-5,-1,4,2,3]=>[3,2,4,-1,-5]
[-5,-1,4,2,-3]=>[-3,2,4,-1,-5]
[-5,-1,4,-2,3]=>[3,-2,4,-1,-5]
[-5,-1,4,-2,-3]=>[-3,-2,4,-1,-5]
[-5,-1,-4,2,3]=>[3,2,-4,-1,-5]
[-5,-1,-4,2,-3]=>[-3,2,-4,-1,-5]
[-5,-1,-4,-2,3]=>[3,-2,-4,-1,-5]
[-5,-1,-4,-2,-3]=>[-3,-2,-4,-1,-5]
[5,1,4,3,2]=>[2,3,4,1,5]
[5,1,4,3,-2]=>[-2,3,4,1,5]
[5,1,4,-3,2]=>[2,-3,4,1,5]
[5,1,4,-3,-2]=>[-2,-3,4,1,5]
[5,1,-4,3,2]=>[2,3,-4,1,5]
[5,1,-4,3,-2]=>[-2,3,-4,1,5]
[5,1,-4,-3,2]=>[2,-3,-4,1,5]
[5,1,-4,-3,-2]=>[-2,-3,-4,1,5]
[5,-1,4,3,2]=>[2,3,4,-1,5]
[5,-1,4,3,-2]=>[-2,3,4,-1,5]
[5,-1,4,-3,2]=>[2,-3,4,-1,5]
[5,-1,4,-3,-2]=>[-2,-3,4,-1,5]
[5,-1,-4,3,2]=>[2,3,-4,-1,5]
[5,-1,-4,3,-2]=>[-2,3,-4,-1,5]
[5,-1,-4,-3,2]=>[2,-3,-4,-1,5]
[5,-1,-4,-3,-2]=>[-2,-3,-4,-1,5]
[-5,1,4,3,2]=>[2,3,4,1,-5]
[-5,1,4,3,-2]=>[-2,3,4,1,-5]
[-5,1,4,-3,2]=>[2,-3,4,1,-5]
[-5,1,4,-3,-2]=>[-2,-3,4,1,-5]
[-5,1,-4,3,2]=>[2,3,-4,1,-5]
[-5,1,-4,3,-2]=>[-2,3,-4,1,-5]
[-5,1,-4,-3,2]=>[2,-3,-4,1,-5]
[-5,1,-4,-3,-2]=>[-2,-3,-4,1,-5]
[-5,-1,4,3,2]=>[2,3,4,-1,-5]
[-5,-1,4,3,-2]=>[-2,3,4,-1,-5]
[-5,-1,4,-3,2]=>[2,-3,4,-1,-5]
[-5,-1,4,-3,-2]=>[-2,-3,4,-1,-5]
[-5,-1,-4,3,2]=>[2,3,-4,-1,-5]
[-5,-1,-4,3,-2]=>[-2,3,-4,-1,-5]
[-5,-1,-4,-3,2]=>[2,-3,-4,-1,-5]
[-5,-1,-4,-3,-2]=>[-2,-3,-4,-1,-5]
[5,2,1,3,4]=>[4,3,1,2,5]
[5,2,1,3,-4]=>[-4,3,1,2,5]
[5,2,1,-3,4]=>[4,-3,1,2,5]
[5,2,1,-3,-4]=>[-4,-3,1,2,5]
[5,2,-1,3,4]=>[4,3,-1,2,5]
[5,2,-1,3,-4]=>[-4,3,-1,2,5]
[5,2,-1,-3,4]=>[4,-3,-1,2,5]
[5,2,-1,-3,-4]=>[-4,-3,-1,2,5]
[5,-2,1,3,4]=>[4,3,1,-2,5]
[5,-2,1,3,-4]=>[-4,3,1,-2,5]
[5,-2,1,-3,4]=>[4,-3,1,-2,5]
[5,-2,1,-3,-4]=>[-4,-3,1,-2,5]
[5,-2,-1,3,4]=>[4,3,-1,-2,5]
[5,-2,-1,3,-4]=>[-4,3,-1,-2,5]
[5,-2,-1,-3,4]=>[4,-3,-1,-2,5]
[5,-2,-1,-3,-4]=>[-4,-3,-1,-2,5]
[-5,2,1,3,4]=>[4,3,1,2,-5]
[-5,2,1,3,-4]=>[-4,3,1,2,-5]
[-5,2,1,-3,4]=>[4,-3,1,2,-5]
[-5,2,1,-3,-4]=>[-4,-3,1,2,-5]
[-5,2,-1,3,4]=>[4,3,-1,2,-5]
[-5,2,-1,3,-4]=>[-4,3,-1,2,-5]
[-5,2,-1,-3,4]=>[4,-3,-1,2,-5]
[-5,2,-1,-3,-4]=>[-4,-3,-1,2,-5]
[-5,-2,1,3,4]=>[4,3,1,-2,-5]
[-5,-2,1,3,-4]=>[-4,3,1,-2,-5]
[-5,-2,1,-3,4]=>[4,-3,1,-2,-5]
[-5,-2,1,-3,-4]=>[-4,-3,1,-2,-5]
[-5,-2,-1,3,4]=>[4,3,-1,-2,-5]
[-5,-2,-1,3,-4]=>[-4,3,-1,-2,-5]
[-5,-2,-1,-3,4]=>[4,-3,-1,-2,-5]
[-5,-2,-1,-3,-4]=>[-4,-3,-1,-2,-5]
[5,2,1,4,3]=>[3,4,1,2,5]
[5,2,1,4,-3]=>[-3,4,1,2,5]
[5,2,1,-4,3]=>[3,-4,1,2,5]
[5,2,1,-4,-3]=>[-3,-4,1,2,5]
[5,2,-1,4,3]=>[3,4,-1,2,5]
[5,2,-1,4,-3]=>[-3,4,-1,2,5]
[5,2,-1,-4,3]=>[3,-4,-1,2,5]
[5,2,-1,-4,-3]=>[-3,-4,-1,2,5]
[5,-2,1,4,3]=>[3,4,1,-2,5]
[5,-2,1,4,-3]=>[-3,4,1,-2,5]
[5,-2,1,-4,3]=>[3,-4,1,-2,5]
[5,-2,1,-4,-3]=>[-3,-4,1,-2,5]
[5,-2,-1,4,3]=>[3,4,-1,-2,5]
[5,-2,-1,4,-3]=>[-3,4,-1,-2,5]
[5,-2,-1,-4,3]=>[3,-4,-1,-2,5]
[5,-2,-1,-4,-3]=>[-3,-4,-1,-2,5]
[-5,2,1,4,3]=>[3,4,1,2,-5]
[-5,2,1,4,-3]=>[-3,4,1,2,-5]
[-5,2,1,-4,3]=>[3,-4,1,2,-5]
[-5,2,1,-4,-3]=>[-3,-4,1,2,-5]
[-5,2,-1,4,3]=>[3,4,-1,2,-5]
[-5,2,-1,4,-3]=>[-3,4,-1,2,-5]
[-5,2,-1,-4,3]=>[3,-4,-1,2,-5]
[-5,2,-1,-4,-3]=>[-3,-4,-1,2,-5]
[-5,-2,1,4,3]=>[3,4,1,-2,-5]
[-5,-2,1,4,-3]=>[-3,4,1,-2,-5]
[-5,-2,1,-4,3]=>[3,-4,1,-2,-5]
[-5,-2,1,-4,-3]=>[-3,-4,1,-2,-5]
[-5,-2,-1,4,3]=>[3,4,-1,-2,-5]
[-5,-2,-1,4,-3]=>[-3,4,-1,-2,-5]
[-5,-2,-1,-4,3]=>[3,-4,-1,-2,-5]
[-5,-2,-1,-4,-3]=>[-3,-4,-1,-2,-5]
[5,2,3,1,4]=>[4,1,3,2,5]
[5,2,3,1,-4]=>[-4,1,3,2,5]
[5,2,3,-1,4]=>[4,-1,3,2,5]
[5,2,3,-1,-4]=>[-4,-1,3,2,5]
[5,2,-3,1,4]=>[4,1,-3,2,5]
[5,2,-3,1,-4]=>[-4,1,-3,2,5]
[5,2,-3,-1,4]=>[4,-1,-3,2,5]
[5,2,-3,-1,-4]=>[-4,-1,-3,2,5]
[5,-2,3,1,4]=>[4,1,3,-2,5]
[5,-2,3,1,-4]=>[-4,1,3,-2,5]
[5,-2,3,-1,4]=>[4,-1,3,-2,5]
[5,-2,3,-1,-4]=>[-4,-1,3,-2,5]
[5,-2,-3,1,4]=>[4,1,-3,-2,5]
[5,-2,-3,1,-4]=>[-4,1,-3,-2,5]
[5,-2,-3,-1,4]=>[4,-1,-3,-2,5]
[5,-2,-3,-1,-4]=>[-4,-1,-3,-2,5]
[-5,2,3,1,4]=>[4,1,3,2,-5]
[-5,2,3,1,-4]=>[-4,1,3,2,-5]
[-5,2,3,-1,4]=>[4,-1,3,2,-5]
[-5,2,3,-1,-4]=>[-4,-1,3,2,-5]
[-5,2,-3,1,4]=>[4,1,-3,2,-5]
[-5,2,-3,1,-4]=>[-4,1,-3,2,-5]
[-5,2,-3,-1,4]=>[4,-1,-3,2,-5]
[-5,2,-3,-1,-4]=>[-4,-1,-3,2,-5]
[-5,-2,3,1,4]=>[4,1,3,-2,-5]
[-5,-2,3,1,-4]=>[-4,1,3,-2,-5]
[-5,-2,3,-1,4]=>[4,-1,3,-2,-5]
[-5,-2,3,-1,-4]=>[-4,-1,3,-2,-5]
[-5,-2,-3,1,4]=>[4,1,-3,-2,-5]
[-5,-2,-3,1,-4]=>[-4,1,-3,-2,-5]
[-5,-2,-3,-1,4]=>[4,-1,-3,-2,-5]
[-5,-2,-3,-1,-4]=>[-4,-1,-3,-2,-5]
[5,2,3,4,1]=>[1,4,3,2,5]
[5,2,3,4,-1]=>[-1,4,3,2,5]
[5,2,3,-4,1]=>[1,-4,3,2,5]
[5,2,3,-4,-1]=>[-1,-4,3,2,5]
[5,2,-3,4,1]=>[1,4,-3,2,5]
[5,2,-3,4,-1]=>[-1,4,-3,2,5]
[5,2,-3,-4,1]=>[1,-4,-3,2,5]
[5,2,-3,-4,-1]=>[-1,-4,-3,2,5]
[5,-2,3,4,1]=>[1,4,3,-2,5]
[5,-2,3,4,-1]=>[-1,4,3,-2,5]
[5,-2,3,-4,1]=>[1,-4,3,-2,5]
[5,-2,3,-4,-1]=>[-1,-4,3,-2,5]
[5,-2,-3,4,1]=>[1,4,-3,-2,5]
[5,-2,-3,4,-1]=>[-1,4,-3,-2,5]
[5,-2,-3,-4,1]=>[1,-4,-3,-2,5]
[5,-2,-3,-4,-1]=>[-1,-4,-3,-2,5]
[-5,2,3,4,1]=>[1,4,3,2,-5]
[-5,2,3,4,-1]=>[-1,4,3,2,-5]
[-5,2,3,-4,1]=>[1,-4,3,2,-5]
[-5,2,3,-4,-1]=>[-1,-4,3,2,-5]
[-5,2,-3,4,1]=>[1,4,-3,2,-5]
[-5,2,-3,4,-1]=>[-1,4,-3,2,-5]
[-5,2,-3,-4,1]=>[1,-4,-3,2,-5]
[-5,2,-3,-4,-1]=>[-1,-4,-3,2,-5]
[-5,-2,3,4,1]=>[1,4,3,-2,-5]
[-5,-2,3,4,-1]=>[-1,4,3,-2,-5]
[-5,-2,3,-4,1]=>[1,-4,3,-2,-5]
[-5,-2,3,-4,-1]=>[-1,-4,3,-2,-5]
[-5,-2,-3,4,1]=>[1,4,-3,-2,-5]
[-5,-2,-3,4,-1]=>[-1,4,-3,-2,-5]
[-5,-2,-3,-4,1]=>[1,-4,-3,-2,-5]
[-5,-2,-3,-4,-1]=>[-1,-4,-3,-2,-5]
[5,2,4,1,3]=>[3,1,4,2,5]
[5,2,4,1,-3]=>[-3,1,4,2,5]
[5,2,4,-1,3]=>[3,-1,4,2,5]
[5,2,4,-1,-3]=>[-3,-1,4,2,5]
[5,2,-4,1,3]=>[3,1,-4,2,5]
[5,2,-4,1,-3]=>[-3,1,-4,2,5]
[5,2,-4,-1,3]=>[3,-1,-4,2,5]
[5,2,-4,-1,-3]=>[-3,-1,-4,2,5]
[5,-2,4,1,3]=>[3,1,4,-2,5]
[5,-2,4,1,-3]=>[-3,1,4,-2,5]
[5,-2,4,-1,3]=>[3,-1,4,-2,5]
[5,-2,4,-1,-3]=>[-3,-1,4,-2,5]
[5,-2,-4,1,3]=>[3,1,-4,-2,5]
[5,-2,-4,1,-3]=>[-3,1,-4,-2,5]
[5,-2,-4,-1,3]=>[3,-1,-4,-2,5]
[5,-2,-4,-1,-3]=>[-3,-1,-4,-2,5]
[-5,2,4,1,3]=>[3,1,4,2,-5]
[-5,2,4,1,-3]=>[-3,1,4,2,-5]
[-5,2,4,-1,3]=>[3,-1,4,2,-5]
[-5,2,4,-1,-3]=>[-3,-1,4,2,-5]
[-5,2,-4,1,3]=>[3,1,-4,2,-5]
[-5,2,-4,1,-3]=>[-3,1,-4,2,-5]
[-5,2,-4,-1,3]=>[3,-1,-4,2,-5]
[-5,2,-4,-1,-3]=>[-3,-1,-4,2,-5]
[-5,-2,4,1,3]=>[3,1,4,-2,-5]
[-5,-2,4,1,-3]=>[-3,1,4,-2,-5]
[-5,-2,4,-1,3]=>[3,-1,4,-2,-5]
[-5,-2,4,-1,-3]=>[-3,-1,4,-2,-5]
[-5,-2,-4,1,3]=>[3,1,-4,-2,-5]
[-5,-2,-4,1,-3]=>[-3,1,-4,-2,-5]
[-5,-2,-4,-1,3]=>[3,-1,-4,-2,-5]
[-5,-2,-4,-1,-3]=>[-3,-1,-4,-2,-5]
[5,2,4,3,1]=>[1,3,4,2,5]
[5,2,4,3,-1]=>[-1,3,4,2,5]
[5,2,4,-3,1]=>[1,-3,4,2,5]
[5,2,4,-3,-1]=>[-1,-3,4,2,5]
[5,2,-4,3,1]=>[1,3,-4,2,5]
[5,2,-4,3,-1]=>[-1,3,-4,2,5]
[5,2,-4,-3,1]=>[1,-3,-4,2,5]
[5,2,-4,-3,-1]=>[-1,-3,-4,2,5]
[5,-2,4,3,1]=>[1,3,4,-2,5]
[5,-2,4,3,-1]=>[-1,3,4,-2,5]
[5,-2,4,-3,1]=>[1,-3,4,-2,5]
[5,-2,4,-3,-1]=>[-1,-3,4,-2,5]
[5,-2,-4,3,1]=>[1,3,-4,-2,5]
[5,-2,-4,3,-1]=>[-1,3,-4,-2,5]
[5,-2,-4,-3,1]=>[1,-3,-4,-2,5]
[5,-2,-4,-3,-1]=>[-1,-3,-4,-2,5]
[-5,2,4,3,1]=>[1,3,4,2,-5]
[-5,2,4,3,-1]=>[-1,3,4,2,-5]
[-5,2,4,-3,1]=>[1,-3,4,2,-5]
[-5,2,4,-3,-1]=>[-1,-3,4,2,-5]
[-5,2,-4,3,1]=>[1,3,-4,2,-5]
[-5,2,-4,3,-1]=>[-1,3,-4,2,-5]
[-5,2,-4,-3,1]=>[1,-3,-4,2,-5]
[-5,2,-4,-3,-1]=>[-1,-3,-4,2,-5]
[-5,-2,4,3,1]=>[1,3,4,-2,-5]
[-5,-2,4,3,-1]=>[-1,3,4,-2,-5]
[-5,-2,4,-3,1]=>[1,-3,4,-2,-5]
[-5,-2,4,-3,-1]=>[-1,-3,4,-2,-5]
[-5,-2,-4,3,1]=>[1,3,-4,-2,-5]
[-5,-2,-4,3,-1]=>[-1,3,-4,-2,-5]
[-5,-2,-4,-3,1]=>[1,-3,-4,-2,-5]
[-5,-2,-4,-3,-1]=>[-1,-3,-4,-2,-5]
[5,3,1,2,4]=>[4,2,1,3,5]
[5,3,1,2,-4]=>[-4,2,1,3,5]
[5,3,1,-2,4]=>[4,-2,1,3,5]
[5,3,1,-2,-4]=>[-4,-2,1,3,5]
[5,3,-1,2,4]=>[4,2,-1,3,5]
[5,3,-1,2,-4]=>[-4,2,-1,3,5]
[5,3,-1,-2,4]=>[4,-2,-1,3,5]
[5,3,-1,-2,-4]=>[-4,-2,-1,3,5]
[5,-3,1,2,4]=>[4,2,1,-3,5]
[5,-3,1,2,-4]=>[-4,2,1,-3,5]
[5,-3,1,-2,4]=>[4,-2,1,-3,5]
[5,-3,1,-2,-4]=>[-4,-2,1,-3,5]
[5,-3,-1,2,4]=>[4,2,-1,-3,5]
[5,-3,-1,2,-4]=>[-4,2,-1,-3,5]
[5,-3,-1,-2,4]=>[4,-2,-1,-3,5]
[5,-3,-1,-2,-4]=>[-4,-2,-1,-3,5]
[-5,3,1,2,4]=>[4,2,1,3,-5]
[-5,3,1,2,-4]=>[-4,2,1,3,-5]
[-5,3,1,-2,4]=>[4,-2,1,3,-5]
[-5,3,1,-2,-4]=>[-4,-2,1,3,-5]
[-5,3,-1,2,4]=>[4,2,-1,3,-5]
[-5,3,-1,2,-4]=>[-4,2,-1,3,-5]
[-5,3,-1,-2,4]=>[4,-2,-1,3,-5]
[-5,3,-1,-2,-4]=>[-4,-2,-1,3,-5]
[-5,-3,1,2,4]=>[4,2,1,-3,-5]
[-5,-3,1,2,-4]=>[-4,2,1,-3,-5]
[-5,-3,1,-2,4]=>[4,-2,1,-3,-5]
[-5,-3,1,-2,-4]=>[-4,-2,1,-3,-5]
[-5,-3,-1,2,4]=>[4,2,-1,-3,-5]
[-5,-3,-1,2,-4]=>[-4,2,-1,-3,-5]
[-5,-3,-1,-2,4]=>[4,-2,-1,-3,-5]
[-5,-3,-1,-2,-4]=>[-4,-2,-1,-3,-5]
[5,3,1,4,2]=>[2,4,1,3,5]
[5,3,1,4,-2]=>[-2,4,1,3,5]
[5,3,1,-4,2]=>[2,-4,1,3,5]
[5,3,1,-4,-2]=>[-2,-4,1,3,5]
[5,3,-1,4,2]=>[2,4,-1,3,5]
[5,3,-1,4,-2]=>[-2,4,-1,3,5]
[5,3,-1,-4,2]=>[2,-4,-1,3,5]
[5,3,-1,-4,-2]=>[-2,-4,-1,3,5]
[5,-3,1,4,2]=>[2,4,1,-3,5]
[5,-3,1,4,-2]=>[-2,4,1,-3,5]
[5,-3,1,-4,2]=>[2,-4,1,-3,5]
[5,-3,1,-4,-2]=>[-2,-4,1,-3,5]
[5,-3,-1,4,2]=>[2,4,-1,-3,5]
[5,-3,-1,4,-2]=>[-2,4,-1,-3,5]
[5,-3,-1,-4,2]=>[2,-4,-1,-3,5]
[5,-3,-1,-4,-2]=>[-2,-4,-1,-3,5]
[-5,3,1,4,2]=>[2,4,1,3,-5]
[-5,3,1,4,-2]=>[-2,4,1,3,-5]
[-5,3,1,-4,2]=>[2,-4,1,3,-5]
[-5,3,1,-4,-2]=>[-2,-4,1,3,-5]
[-5,3,-1,4,2]=>[2,4,-1,3,-5]
[-5,3,-1,4,-2]=>[-2,4,-1,3,-5]
[-5,3,-1,-4,2]=>[2,-4,-1,3,-5]
[-5,3,-1,-4,-2]=>[-2,-4,-1,3,-5]
[-5,-3,1,4,2]=>[2,4,1,-3,-5]
[-5,-3,1,4,-2]=>[-2,4,1,-3,-5]
[-5,-3,1,-4,2]=>[2,-4,1,-3,-5]
[-5,-3,1,-4,-2]=>[-2,-4,1,-3,-5]
[-5,-3,-1,4,2]=>[2,4,-1,-3,-5]
[-5,-3,-1,4,-2]=>[-2,4,-1,-3,-5]
[-5,-3,-1,-4,2]=>[2,-4,-1,-3,-5]
[-5,-3,-1,-4,-2]=>[-2,-4,-1,-3,-5]
[5,3,2,1,4]=>[4,1,2,3,5]
[5,3,2,1,-4]=>[-4,1,2,3,5]
[5,3,2,-1,4]=>[4,-1,2,3,5]
[5,3,2,-1,-4]=>[-4,-1,2,3,5]
[5,3,-2,1,4]=>[4,1,-2,3,5]
[5,3,-2,1,-4]=>[-4,1,-2,3,5]
[5,3,-2,-1,4]=>[4,-1,-2,3,5]
[5,3,-2,-1,-4]=>[-4,-1,-2,3,5]
[5,-3,2,1,4]=>[4,1,2,-3,5]
[5,-3,2,1,-4]=>[-4,1,2,-3,5]
[5,-3,2,-1,4]=>[4,-1,2,-3,5]
[5,-3,2,-1,-4]=>[-4,-1,2,-3,5]
[5,-3,-2,1,4]=>[4,1,-2,-3,5]
[5,-3,-2,1,-4]=>[-4,1,-2,-3,5]
[5,-3,-2,-1,4]=>[4,-1,-2,-3,5]
[5,-3,-2,-1,-4]=>[-4,-1,-2,-3,5]
[-5,3,2,1,4]=>[4,1,2,3,-5]
[-5,3,2,1,-4]=>[-4,1,2,3,-5]
[-5,3,2,-1,4]=>[4,-1,2,3,-5]
[-5,3,2,-1,-4]=>[-4,-1,2,3,-5]
[-5,3,-2,1,4]=>[4,1,-2,3,-5]
[-5,3,-2,1,-4]=>[-4,1,-2,3,-5]
[-5,3,-2,-1,4]=>[4,-1,-2,3,-5]
[-5,3,-2,-1,-4]=>[-4,-1,-2,3,-5]
[-5,-3,2,1,4]=>[4,1,2,-3,-5]
[-5,-3,2,1,-4]=>[-4,1,2,-3,-5]
[-5,-3,2,-1,4]=>[4,-1,2,-3,-5]
[-5,-3,2,-1,-4]=>[-4,-1,2,-3,-5]
[-5,-3,-2,1,4]=>[4,1,-2,-3,-5]
[-5,-3,-2,1,-4]=>[-4,1,-2,-3,-5]
[-5,-3,-2,-1,4]=>[4,-1,-2,-3,-5]
[-5,-3,-2,-1,-4]=>[-4,-1,-2,-3,-5]
[5,3,2,4,1]=>[1,4,2,3,5]
[5,3,2,4,-1]=>[-1,4,2,3,5]
[5,3,2,-4,1]=>[1,-4,2,3,5]
[5,3,2,-4,-1]=>[-1,-4,2,3,5]
[5,3,-2,4,1]=>[1,4,-2,3,5]
[5,3,-2,4,-1]=>[-1,4,-2,3,5]
[5,3,-2,-4,1]=>[1,-4,-2,3,5]
[5,3,-2,-4,-1]=>[-1,-4,-2,3,5]
[5,-3,2,4,1]=>[1,4,2,-3,5]
[5,-3,2,4,-1]=>[-1,4,2,-3,5]
[5,-3,2,-4,1]=>[1,-4,2,-3,5]
[5,-3,2,-4,-1]=>[-1,-4,2,-3,5]
[5,-3,-2,4,1]=>[1,4,-2,-3,5]
[5,-3,-2,4,-1]=>[-1,4,-2,-3,5]
[5,-3,-2,-4,1]=>[1,-4,-2,-3,5]
[5,-3,-2,-4,-1]=>[-1,-4,-2,-3,5]
[-5,3,2,4,1]=>[1,4,2,3,-5]
[-5,3,2,4,-1]=>[-1,4,2,3,-5]
[-5,3,2,-4,1]=>[1,-4,2,3,-5]
[-5,3,2,-4,-1]=>[-1,-4,2,3,-5]
[-5,3,-2,4,1]=>[1,4,-2,3,-5]
[-5,3,-2,4,-1]=>[-1,4,-2,3,-5]
[-5,3,-2,-4,1]=>[1,-4,-2,3,-5]
[-5,3,-2,-4,-1]=>[-1,-4,-2,3,-5]
[-5,-3,2,4,1]=>[1,4,2,-3,-5]
[-5,-3,2,4,-1]=>[-1,4,2,-3,-5]
[-5,-3,2,-4,1]=>[1,-4,2,-3,-5]
[-5,-3,2,-4,-1]=>[-1,-4,2,-3,-5]
[-5,-3,-2,4,1]=>[1,4,-2,-3,-5]
[-5,-3,-2,4,-1]=>[-1,4,-2,-3,-5]
[-5,-3,-2,-4,1]=>[1,-4,-2,-3,-5]
[-5,-3,-2,-4,-1]=>[-1,-4,-2,-3,-5]
[5,3,4,1,2]=>[2,1,4,3,5]
[5,3,4,1,-2]=>[-2,1,4,3,5]
[5,3,4,-1,2]=>[2,-1,4,3,5]
[5,3,4,-1,-2]=>[-2,-1,4,3,5]
[5,3,-4,1,2]=>[2,1,-4,3,5]
[5,3,-4,1,-2]=>[-2,1,-4,3,5]
[5,3,-4,-1,2]=>[2,-1,-4,3,5]
[5,3,-4,-1,-2]=>[-2,-1,-4,3,5]
[5,-3,4,1,2]=>[2,1,4,-3,5]
[5,-3,4,1,-2]=>[-2,1,4,-3,5]
[5,-3,4,-1,2]=>[2,-1,4,-3,5]
[5,-3,4,-1,-2]=>[-2,-1,4,-3,5]
[5,-3,-4,1,2]=>[2,1,-4,-3,5]
[5,-3,-4,1,-2]=>[-2,1,-4,-3,5]
[5,-3,-4,-1,2]=>[2,-1,-4,-3,5]
[5,-3,-4,-1,-2]=>[-2,-1,-4,-3,5]
[-5,3,4,1,2]=>[2,1,4,3,-5]
[-5,3,4,1,-2]=>[-2,1,4,3,-5]
[-5,3,4,-1,2]=>[2,-1,4,3,-5]
[-5,3,4,-1,-2]=>[-2,-1,4,3,-5]
[-5,3,-4,1,2]=>[2,1,-4,3,-5]
[-5,3,-4,1,-2]=>[-2,1,-4,3,-5]
[-5,3,-4,-1,2]=>[2,-1,-4,3,-5]
[-5,3,-4,-1,-2]=>[-2,-1,-4,3,-5]
[-5,-3,4,1,2]=>[2,1,4,-3,-5]
[-5,-3,4,1,-2]=>[-2,1,4,-3,-5]
[-5,-3,4,-1,2]=>[2,-1,4,-3,-5]
[-5,-3,4,-1,-2]=>[-2,-1,4,-3,-5]
[-5,-3,-4,1,2]=>[2,1,-4,-3,-5]
[-5,-3,-4,1,-2]=>[-2,1,-4,-3,-5]
[-5,-3,-4,-1,2]=>[2,-1,-4,-3,-5]
[-5,-3,-4,-1,-2]=>[-2,-1,-4,-3,-5]
[5,3,4,2,1]=>[1,2,4,3,5]
[5,3,4,2,-1]=>[-1,2,4,3,5]
[5,3,4,-2,1]=>[1,-2,4,3,5]
[5,3,4,-2,-1]=>[-1,-2,4,3,5]
[5,3,-4,2,1]=>[1,2,-4,3,5]
[5,3,-4,2,-1]=>[-1,2,-4,3,5]
[5,3,-4,-2,1]=>[1,-2,-4,3,5]
[5,3,-4,-2,-1]=>[-1,-2,-4,3,5]
[5,-3,4,2,1]=>[1,2,4,-3,5]
[5,-3,4,2,-1]=>[-1,2,4,-3,5]
[5,-3,4,-2,1]=>[1,-2,4,-3,5]
[5,-3,4,-2,-1]=>[-1,-2,4,-3,5]
[5,-3,-4,2,1]=>[1,2,-4,-3,5]
[5,-3,-4,2,-1]=>[-1,2,-4,-3,5]
[5,-3,-4,-2,1]=>[1,-2,-4,-3,5]
[5,-3,-4,-2,-1]=>[-1,-2,-4,-3,5]
[-5,3,4,2,1]=>[1,2,4,3,-5]
[-5,3,4,2,-1]=>[-1,2,4,3,-5]
[-5,3,4,-2,1]=>[1,-2,4,3,-5]
[-5,3,4,-2,-1]=>[-1,-2,4,3,-5]
[-5,3,-4,2,1]=>[1,2,-4,3,-5]
[-5,3,-4,2,-1]=>[-1,2,-4,3,-5]
[-5,3,-4,-2,1]=>[1,-2,-4,3,-5]
[-5,3,-4,-2,-1]=>[-1,-2,-4,3,-5]
[-5,-3,4,2,1]=>[1,2,4,-3,-5]
[-5,-3,4,2,-1]=>[-1,2,4,-3,-5]
[-5,-3,4,-2,1]=>[1,-2,4,-3,-5]
[-5,-3,4,-2,-1]=>[-1,-2,4,-3,-5]
[-5,-3,-4,2,1]=>[1,2,-4,-3,-5]
[-5,-3,-4,2,-1]=>[-1,2,-4,-3,-5]
[-5,-3,-4,-2,1]=>[1,-2,-4,-3,-5]
[-5,-3,-4,-2,-1]=>[-1,-2,-4,-3,-5]
[5,4,1,2,3]=>[3,2,1,4,5]
[5,4,1,2,-3]=>[-3,2,1,4,5]
[5,4,1,-2,3]=>[3,-2,1,4,5]
[5,4,1,-2,-3]=>[-3,-2,1,4,5]
[5,4,-1,2,3]=>[3,2,-1,4,5]
[5,4,-1,2,-3]=>[-3,2,-1,4,5]
[5,4,-1,-2,3]=>[3,-2,-1,4,5]
[5,4,-1,-2,-3]=>[-3,-2,-1,4,5]
[5,-4,1,2,3]=>[3,2,1,-4,5]
[5,-4,1,2,-3]=>[-3,2,1,-4,5]
[5,-4,1,-2,3]=>[3,-2,1,-4,5]
[5,-4,1,-2,-3]=>[-3,-2,1,-4,5]
[5,-4,-1,2,3]=>[3,2,-1,-4,5]
[5,-4,-1,2,-3]=>[-3,2,-1,-4,5]
[5,-4,-1,-2,3]=>[3,-2,-1,-4,5]
[5,-4,-1,-2,-3]=>[-3,-2,-1,-4,5]
[-5,4,1,2,3]=>[3,2,1,4,-5]
[-5,4,1,2,-3]=>[-3,2,1,4,-5]
[-5,4,1,-2,3]=>[3,-2,1,4,-5]
[-5,4,1,-2,-3]=>[-3,-2,1,4,-5]
[-5,4,-1,2,3]=>[3,2,-1,4,-5]
[-5,4,-1,2,-3]=>[-3,2,-1,4,-5]
[-5,4,-1,-2,3]=>[3,-2,-1,4,-5]
[-5,4,-1,-2,-3]=>[-3,-2,-1,4,-5]
[-5,-4,1,2,3]=>[3,2,1,-4,-5]
[-5,-4,1,2,-3]=>[-3,2,1,-4,-5]
[-5,-4,1,-2,3]=>[3,-2,1,-4,-5]
[-5,-4,1,-2,-3]=>[-3,-2,1,-4,-5]
[-5,-4,-1,2,3]=>[3,2,-1,-4,-5]
[-5,-4,-1,2,-3]=>[-3,2,-1,-4,-5]
[-5,-4,-1,-2,3]=>[3,-2,-1,-4,-5]
[-5,-4,-1,-2,-3]=>[-3,-2,-1,-4,-5]
[5,4,1,3,2]=>[2,3,1,4,5]
[5,4,1,3,-2]=>[-2,3,1,4,5]
[5,4,1,-3,2]=>[2,-3,1,4,5]
[5,4,1,-3,-2]=>[-2,-3,1,4,5]
[5,4,-1,3,2]=>[2,3,-1,4,5]
[5,4,-1,3,-2]=>[-2,3,-1,4,5]
[5,4,-1,-3,2]=>[2,-3,-1,4,5]
[5,4,-1,-3,-2]=>[-2,-3,-1,4,5]
[5,-4,1,3,2]=>[2,3,1,-4,5]
[5,-4,1,3,-2]=>[-2,3,1,-4,5]
[5,-4,1,-3,2]=>[2,-3,1,-4,5]
[5,-4,1,-3,-2]=>[-2,-3,1,-4,5]
[5,-4,-1,3,2]=>[2,3,-1,-4,5]
[5,-4,-1,3,-2]=>[-2,3,-1,-4,5]
[5,-4,-1,-3,2]=>[2,-3,-1,-4,5]
[5,-4,-1,-3,-2]=>[-2,-3,-1,-4,5]
[-5,4,1,3,2]=>[2,3,1,4,-5]
[-5,4,1,3,-2]=>[-2,3,1,4,-5]
[-5,4,1,-3,2]=>[2,-3,1,4,-5]
[-5,4,1,-3,-2]=>[-2,-3,1,4,-5]
[-5,4,-1,3,2]=>[2,3,-1,4,-5]
[-5,4,-1,3,-2]=>[-2,3,-1,4,-5]
[-5,4,-1,-3,2]=>[2,-3,-1,4,-5]
[-5,4,-1,-3,-2]=>[-2,-3,-1,4,-5]
[-5,-4,1,3,2]=>[2,3,1,-4,-5]
[-5,-4,1,3,-2]=>[-2,3,1,-4,-5]
[-5,-4,1,-3,2]=>[2,-3,1,-4,-5]
[-5,-4,1,-3,-2]=>[-2,-3,1,-4,-5]
[-5,-4,-1,3,2]=>[2,3,-1,-4,-5]
[-5,-4,-1,3,-2]=>[-2,3,-1,-4,-5]
[-5,-4,-1,-3,2]=>[2,-3,-1,-4,-5]
[-5,-4,-1,-3,-2]=>[-2,-3,-1,-4,-5]
[5,4,2,1,3]=>[3,1,2,4,5]
[5,4,2,1,-3]=>[-3,1,2,4,5]
[5,4,2,-1,3]=>[3,-1,2,4,5]
[5,4,2,-1,-3]=>[-3,-1,2,4,5]
[5,4,-2,1,3]=>[3,1,-2,4,5]
[5,4,-2,1,-3]=>[-3,1,-2,4,5]
[5,4,-2,-1,3]=>[3,-1,-2,4,5]
[5,4,-2,-1,-3]=>[-3,-1,-2,4,5]
[5,-4,2,1,3]=>[3,1,2,-4,5]
[5,-4,2,1,-3]=>[-3,1,2,-4,5]
[5,-4,2,-1,3]=>[3,-1,2,-4,5]
[5,-4,2,-1,-3]=>[-3,-1,2,-4,5]
[5,-4,-2,1,3]=>[3,1,-2,-4,5]
[5,-4,-2,1,-3]=>[-3,1,-2,-4,5]
[5,-4,-2,-1,3]=>[3,-1,-2,-4,5]
[5,-4,-2,-1,-3]=>[-3,-1,-2,-4,5]
[-5,4,2,1,3]=>[3,1,2,4,-5]
[-5,4,2,1,-3]=>[-3,1,2,4,-5]
[-5,4,2,-1,3]=>[3,-1,2,4,-5]
[-5,4,2,-1,-3]=>[-3,-1,2,4,-5]
[-5,4,-2,1,3]=>[3,1,-2,4,-5]
[-5,4,-2,1,-3]=>[-3,1,-2,4,-5]
[-5,4,-2,-1,3]=>[3,-1,-2,4,-5]
[-5,4,-2,-1,-3]=>[-3,-1,-2,4,-5]
[-5,-4,2,1,3]=>[3,1,2,-4,-5]
[-5,-4,2,1,-3]=>[-3,1,2,-4,-5]
[-5,-4,2,-1,3]=>[3,-1,2,-4,-5]
[-5,-4,2,-1,-3]=>[-3,-1,2,-4,-5]
[-5,-4,-2,1,3]=>[3,1,-2,-4,-5]
[-5,-4,-2,1,-3]=>[-3,1,-2,-4,-5]
[-5,-4,-2,-1,3]=>[3,-1,-2,-4,-5]
[-5,-4,-2,-1,-3]=>[-3,-1,-2,-4,-5]
[5,4,2,3,1]=>[1,3,2,4,5]
[5,4,2,3,-1]=>[-1,3,2,4,5]
[5,4,2,-3,1]=>[1,-3,2,4,5]
[5,4,2,-3,-1]=>[-1,-3,2,4,5]
[5,4,-2,3,1]=>[1,3,-2,4,5]
[5,4,-2,3,-1]=>[-1,3,-2,4,5]
[5,4,-2,-3,1]=>[1,-3,-2,4,5]
[5,4,-2,-3,-1]=>[-1,-3,-2,4,5]
[5,-4,2,3,1]=>[1,3,2,-4,5]
[5,-4,2,3,-1]=>[-1,3,2,-4,5]
[5,-4,2,-3,1]=>[1,-3,2,-4,5]
[5,-4,2,-3,-1]=>[-1,-3,2,-4,5]
[5,-4,-2,3,1]=>[1,3,-2,-4,5]
[5,-4,-2,3,-1]=>[-1,3,-2,-4,5]
[5,-4,-2,-3,1]=>[1,-3,-2,-4,5]
[5,-4,-2,-3,-1]=>[-1,-3,-2,-4,5]
[-5,4,2,3,1]=>[1,3,2,4,-5]
[-5,4,2,3,-1]=>[-1,3,2,4,-5]
[-5,4,2,-3,1]=>[1,-3,2,4,-5]
[-5,4,2,-3,-1]=>[-1,-3,2,4,-5]
[-5,4,-2,3,1]=>[1,3,-2,4,-5]
[-5,4,-2,3,-1]=>[-1,3,-2,4,-5]
[-5,4,-2,-3,1]=>[1,-3,-2,4,-5]
[-5,4,-2,-3,-1]=>[-1,-3,-2,4,-5]
[-5,-4,2,3,1]=>[1,3,2,-4,-5]
[-5,-4,2,3,-1]=>[-1,3,2,-4,-5]
[-5,-4,2,-3,1]=>[1,-3,2,-4,-5]
[-5,-4,2,-3,-1]=>[-1,-3,2,-4,-5]
[-5,-4,-2,3,1]=>[1,3,-2,-4,-5]
[-5,-4,-2,3,-1]=>[-1,3,-2,-4,-5]
[-5,-4,-2,-3,1]=>[1,-3,-2,-4,-5]
[-5,-4,-2,-3,-1]=>[-1,-3,-2,-4,-5]
[5,4,3,1,2]=>[2,1,3,4,5]
[5,4,3,1,-2]=>[-2,1,3,4,5]
[5,4,3,-1,2]=>[2,-1,3,4,5]
[5,4,3,-1,-2]=>[-2,-1,3,4,5]
[5,4,-3,1,2]=>[2,1,-3,4,5]
[5,4,-3,1,-2]=>[-2,1,-3,4,5]
[5,4,-3,-1,2]=>[2,-1,-3,4,5]
[5,4,-3,-1,-2]=>[-2,-1,-3,4,5]
[5,-4,3,1,2]=>[2,1,3,-4,5]
[5,-4,3,1,-2]=>[-2,1,3,-4,5]
[5,-4,3,-1,2]=>[2,-1,3,-4,5]
[5,-4,3,-1,-2]=>[-2,-1,3,-4,5]
[5,-4,-3,1,2]=>[2,1,-3,-4,5]
[5,-4,-3,1,-2]=>[-2,1,-3,-4,5]
[5,-4,-3,-1,2]=>[2,-1,-3,-4,5]
[5,-4,-3,-1,-2]=>[-2,-1,-3,-4,5]
[-5,4,3,1,2]=>[2,1,3,4,-5]
[-5,4,3,1,-2]=>[-2,1,3,4,-5]
[-5,4,3,-1,2]=>[2,-1,3,4,-5]
[-5,4,3,-1,-2]=>[-2,-1,3,4,-5]
[-5,4,-3,1,2]=>[2,1,-3,4,-5]
[-5,4,-3,1,-2]=>[-2,1,-3,4,-5]
[-5,4,-3,-1,2]=>[2,-1,-3,4,-5]
[-5,4,-3,-1,-2]=>[-2,-1,-3,4,-5]
[-5,-4,3,1,2]=>[2,1,3,-4,-5]
[-5,-4,3,1,-2]=>[-2,1,3,-4,-5]
[-5,-4,3,-1,2]=>[2,-1,3,-4,-5]
[-5,-4,3,-1,-2]=>[-2,-1,3,-4,-5]
[-5,-4,-3,1,2]=>[2,1,-3,-4,-5]
[-5,-4,-3,1,-2]=>[-2,1,-3,-4,-5]
[-5,-4,-3,-1,2]=>[2,-1,-3,-4,-5]
[-5,-4,-3,-1,-2]=>[-2,-1,-3,-4,-5]
[5,4,3,2,1]=>[1,2,3,4,5]
[5,4,3,2,-1]=>[-1,2,3,4,5]
[5,4,3,-2,1]=>[1,-2,3,4,5]
[5,4,3,-2,-1]=>[-1,-2,3,4,5]
[5,4,-3,2,1]=>[1,2,-3,4,5]
[5,4,-3,2,-1]=>[-1,2,-3,4,5]
[5,4,-3,-2,1]=>[1,-2,-3,4,5]
[5,4,-3,-2,-1]=>[-1,-2,-3,4,5]
[5,-4,3,2,1]=>[1,2,3,-4,5]
[5,-4,3,2,-1]=>[-1,2,3,-4,5]
[5,-4,3,-2,1]=>[1,-2,3,-4,5]
[5,-4,3,-2,-1]=>[-1,-2,3,-4,5]
[5,-4,-3,2,1]=>[1,2,-3,-4,5]
[5,-4,-3,2,-1]=>[-1,2,-3,-4,5]
[5,-4,-3,-2,1]=>[1,-2,-3,-4,5]
[5,-4,-3,-2,-1]=>[-1,-2,-3,-4,5]
[-5,4,3,2,1]=>[1,2,3,4,-5]
[-5,4,3,2,-1]=>[-1,2,3,4,-5]
[-5,4,3,-2,1]=>[1,-2,3,4,-5]
[-5,4,3,-2,-1]=>[-1,-2,3,4,-5]
[-5,4,-3,2,1]=>[1,2,-3,4,-5]
[-5,4,-3,2,-1]=>[-1,2,-3,4,-5]
[-5,4,-3,-2,1]=>[1,-2,-3,4,-5]
[-5,4,-3,-2,-1]=>[-1,-2,-3,4,-5]
[-5,-4,3,2,1]=>[1,2,3,-4,-5]
[-5,-4,3,2,-1]=>[-1,2,3,-4,-5]
[-5,-4,3,-2,1]=>[1,-2,3,-4,-5]
[-5,-4,3,-2,-1]=>[-1,-2,3,-4,-5]
[-5,-4,-3,2,1]=>[1,2,-3,-4,-5]
[-5,-4,-3,2,-1]=>[-1,2,-3,-4,-5]
[-5,-4,-3,-2,1]=>[1,-2,-3,-4,-5]
[-5,-4,-3,-2,-1]=>[-1,-2,-3,-4,-5]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]
[1,2,3,5,6,4]=>[4,6,5,3,2,1]
[1,2,3,6,4,5]=>[5,4,6,3,2,1]
[1,2,4,5,3,6]=>[6,3,5,4,2,1]
[1,2,5,3,4,6]=>[6,4,3,5,2,1]
[1,2,5,6,3,4]=>[4,3,6,5,2,1]
[1,3,4,2,5,6]=>[6,5,2,4,3,1]
[1,3,4,5,2,6]=>[6,2,5,4,3,1]
[1,3,4,5,6,2]=>[2,6,5,4,3,1]
[1,3,5,2,6,4]=>[4,6,2,5,3,1]
[1,3,5,6,4,2]=>[2,4,6,5,3,1]
[1,4,2,3,5,6]=>[6,5,3,2,4,1]
[1,4,2,6,3,5]=>[5,3,6,2,4,1]
[1,4,5,2,3,6]=>[6,3,2,5,4,1]
[1,4,5,3,6,2]=>[2,6,3,5,4,1]
[1,4,5,6,2,3]=>[3,2,6,5,4,1]
[1,5,2,3,4,6]=>[6,4,3,2,5,1]
[1,5,6,2,3,4]=>[4,3,2,6,5,1]
[1,5,6,3,4,2]=>[2,4,3,6,5,1]
[1,6,2,3,4,5]=>[5,4,3,2,6,1]
[1,6,2,5,3,4]=>[4,3,5,2,6,1]
[1,6,4,2,3,5]=>[5,3,2,4,6,1]
[1,6,4,5,2,3]=>[3,2,5,4,6,1]
[2,3,1,4,5,6]=>[6,5,4,1,3,2]
[2,3,1,5,6,4]=>[4,6,5,1,3,2]
[2,3,4,1,5,6]=>[6,5,1,4,3,2]
[2,3,4,5,1,6]=>[6,1,5,4,3,2]
[2,3,4,5,6,1]=>[1,6,5,4,3,2]
[2,3,5,6,1,4]=>[4,1,6,5,3,2]
[2,4,1,5,3,6]=>[6,3,5,1,4,2]
[2,4,5,3,1,6]=>[6,1,3,5,4,2]
[2,4,5,6,1,3]=>[3,1,6,5,4,2]
[2,5,1,6,3,4]=>[4,3,6,1,5,2]
[2,5,6,3,1,4]=>[4,1,3,6,5,2]
[3,1,2,4,5,6]=>[6,5,4,2,1,3]
[3,1,2,6,4,5]=>[5,4,6,2,1,3]
[3,1,5,2,4,6]=>[6,4,2,5,1,3]
[3,1,5,6,2,4]=>[4,2,6,5,1,3]
[3,2,5,6,4,1]=>[1,4,6,5,2,3]
[3,4,1,2,5,6]=>[6,5,2,1,4,3]
[3,4,1,5,2,6]=>[6,2,5,1,4,3]
[3,4,1,5,6,2]=>[2,6,5,1,4,3]
[3,4,1,6,2,5]=>[5,2,6,1,4,3]
[3,4,2,5,1,6]=>[6,1,5,2,4,3]
[3,4,2,5,6,1]=>[1,6,5,2,4,3]
[3,4,5,1,2,6]=>[6,2,1,5,4,3]
[3,4,5,1,6,2]=>[2,6,1,5,4,3]
[3,4,5,6,1,2]=>[2,1,6,5,4,3]
[3,4,6,1,2,5]=>[5,2,1,6,4,3]
[3,5,1,2,4,6]=>[6,4,2,1,5,3]
[3,5,1,2,6,4]=>[4,6,2,1,5,3]
[3,5,1,6,4,2]=>[2,4,6,1,5,3]
[3,5,2,6,1,4]=>[4,1,6,2,5,3]
[3,5,6,1,2,4]=>[4,2,1,6,5,3]
[3,5,6,4,1,2]=>[2,1,4,6,5,3]
[3,6,1,2,4,5]=>[5,4,2,1,6,3]
[3,6,1,5,2,4]=>[4,2,5,1,6,3]
[3,6,4,1,2,5]=>[5,2,1,4,6,3]
[3,6,4,5,1,2]=>[2,1,5,4,6,3]
[4,1,2,3,5,6]=>[6,5,3,2,1,4]
[4,2,5,3,6,1]=>[1,6,3,5,2,4]
[4,5,1,2,3,6]=>[6,3,2,1,5,4]
[4,5,1,2,6,3]=>[3,6,2,1,5,4]
[4,5,1,3,6,2]=>[2,6,3,1,5,4]
[4,5,1,6,2,3]=>[3,2,6,1,5,4]
[4,5,2,3,1,6]=>[6,1,3,2,5,4]
[4,5,3,6,1,2]=>[2,1,6,3,5,4]
[4,5,6,1,2,3]=>[3,2,1,6,5,4]
[4,5,6,1,3,2]=>[2,3,1,6,5,4]
[4,6,1,2,3,5]=>[5,3,2,1,6,4]
[4,6,5,1,2,3]=>[3,2,1,5,6,4]
[5,1,2,3,4,6]=>[6,4,3,2,1,5]
[5,1,2,6,3,4]=>[4,3,6,2,1,5]
[5,1,4,2,3,6]=>[6,3,2,4,1,5]
[5,1,4,6,2,3]=>[3,2,6,4,1,5]
[5,1,6,2,3,4]=>[4,3,2,6,1,5]
[5,3,1,2,4,6]=>[6,4,2,1,3,5]
[5,3,1,6,2,4]=>[4,2,6,1,3,5]
[5,3,4,1,2,6]=>[6,2,1,4,3,5]
[5,3,4,6,1,2]=>[2,1,6,4,3,5]
[5,3,6,1,2,4]=>[4,2,1,6,3,5]
[5,4,1,2,3,6]=>[6,3,2,1,4,5]
[5,6,1,2,3,4]=>[4,3,2,1,6,5]
[5,6,1,3,4,2]=>[2,4,3,1,6,5]
[5,6,1,4,2,3]=>[3,2,4,1,6,5]
[5,6,2,3,1,4]=>[4,1,3,2,6,5]
[5,6,3,1,2,4]=>[4,2,1,3,6,5]
[5,6,3,4,1,2]=>[2,1,4,3,6,5]
[5,6,4,1,2,3]=>[3,2,1,4,6,5]
[6,1,2,3,4,5]=>[5,4,3,2,1,6]
[6,2,1,5,3,4]=>[4,3,5,1,2,6]
[6,2,4,1,3,5]=>[5,3,1,4,2,6]
[6,2,5,1,3,4]=>[4,3,1,5,2,6]
[6,3,1,2,4,5]=>[5,4,2,1,3,6]
[6,3,4,5,1,2]=>[2,1,5,4,3,6]
[6,3,5,1,2,4]=>[4,2,1,5,3,6]
[6,4,1,2,3,5]=>[5,3,2,1,4,6]
[6,4,1,5,2,3]=>[3,2,5,1,4,6]
[6,4,5,1,2,3]=>[3,2,1,5,4,6]
[6,5,1,2,3,4]=>[4,3,2,1,5,6]
[-6,-4,-2,1,3,5]=>[5,3,1,-2,-4,-6]
[4,6,-3,1,2,5]=>[5,2,1,-3,6,4]
[-3,2,-6,-4,1,5]=>[5,1,-4,-6,2,-3]
[3,2,6,-5,1,4]=>[4,1,-5,6,2,3]
[-5,-3,2,4,-6,1]=>[1,-6,4,2,-3,-5]
[4,5,2,3,-6,1]=>[1,-6,3,2,5,4]
[2,-6,-4,-5,1,3]=>[3,1,-5,-4,-6,2]
[-6,-5,1,-4,2,3]=>[3,2,-4,1,-5,-6]
[-5,3,6,1,2,4]=>[4,2,1,6,3,-5]
[2,6,-5,1,3,4]=>[4,3,1,-5,6,2]
[-5,4,-6,-2,1,3]=>[3,1,-2,-6,4,-5]
[4,-5,-6,-3,1,2]=>[2,1,-3,-6,-5,4]
[3,6,5,-4,1,2]=>[2,1,-4,5,6,3]
[4,6,-5,3,1,2]=>[2,1,3,-5,6,4]
[-4,3,-5,2,-6,1]=>[1,-6,2,-5,3,-4]
[1,2,3,4,5,-6]=>[-6,5,4,3,2,1]
[1,2,3,4,6,-5]=>[-5,6,4,3,2,1]
[1,2,3,6,5,-4]=>[-4,5,6,3,2,1]
[1,2,3,6,4,-5]=>[-5,4,6,3,2,1]
[1,2,3,5,6,-4]=>[-4,6,5,3,2,1]
[1,2,6,4,5,-3]=>[-3,5,4,6,2,1]
[1,2,5,4,6,-3]=>[-3,6,4,5,2,1]
[1,2,6,3,5,-4]=>[-4,5,3,6,2,1]
[1,2,6,3,4,-5]=>[-5,4,3,6,2,1]
[1,2,5,3,6,-4]=>[-4,6,3,5,2,1]
[1,2,4,6,5,-3]=>[-3,5,6,4,2,1]
[1,2,5,6,4,-3]=>[-3,4,6,5,2,1]
[1,2,5,6,3,-4]=>[-4,3,6,5,2,1]
[1,2,4,5,6,-3]=>[-3,6,5,4,2,1]
[1,6,3,4,5,-2]=>[-2,5,4,3,6,1]
[1,5,3,4,6,-2]=>[-2,6,4,3,5,1]
[1,4,3,6,5,-2]=>[-2,5,6,3,4,1]
[1,5,3,6,4,-2]=>[-2,4,6,3,5,1]
[1,4,3,5,6,-2]=>[-2,6,5,3,4,1]
[1,6,2,4,5,-3]=>[-3,5,4,2,6,1]
[1,5,2,4,6,-3]=>[-3,6,4,2,5,1]
[1,6,2,3,5,-4]=>[-4,5,3,2,6,1]
[1,6,2,3,4,-5]=>[-5,4,3,2,6,1]
[1,5,2,3,6,-4]=>[-4,6,3,2,5,1]
[1,4,2,6,5,-3]=>[-3,5,6,2,4,1]
[1,5,2,6,4,-3]=>[-3,4,6,2,5,1]
[1,5,2,6,3,-4]=>[-4,3,6,2,5,1]
[1,4,2,5,6,-3]=>[-3,6,5,2,4,1]
[1,3,6,4,5,-2]=>[-2,5,4,6,3,1]
[1,3,5,4,6,-2]=>[-2,6,4,5,3,1]
[1,4,6,3,5,-2]=>[-2,5,3,6,4,1]
[1,5,6,3,4,-2]=>[-2,4,3,6,5,1]
[1,4,5,3,6,-2]=>[-2,6,3,5,4,1]
[1,4,6,2,5,-3]=>[-3,5,2,6,4,1]
[1,5,6,2,4,-3]=>[-3,4,2,6,5,1]
[1,5,6,2,3,-4]=>[-4,3,2,6,5,1]
[1,4,5,2,6,-3]=>[-3,6,2,5,4,1]
[1,3,4,6,5,-2]=>[-2,5,6,4,3,1]
[1,3,5,6,4,-2]=>[-2,4,6,5,3,1]
[1,4,5,6,3,-2]=>[-2,3,6,5,4,1]
[1,4,5,6,2,-3]=>[-3,2,6,5,4,1]
[1,3,4,5,6,-2]=>[-2,6,5,4,3,1]
[6,2,3,4,5,-1]=>[-1,5,4,3,2,6]
[5,2,3,4,6,-1]=>[-1,6,4,3,2,5]
[4,2,3,6,5,-1]=>[-1,5,6,3,2,4]
[5,2,3,6,4,-1]=>[-1,4,6,3,2,5]
[4,2,3,5,6,-1]=>[-1,6,5,3,2,4]
[3,2,6,4,5,-1]=>[-1,5,4,6,2,3]
[3,2,5,4,6,-1]=>[-1,6,4,5,2,3]
[4,2,6,3,5,-1]=>[-1,5,3,6,2,4]
[5,2,6,3,4,-1]=>[-1,4,3,6,2,5]
[4,2,5,3,6,-1]=>[-1,6,3,5,2,4]
[3,2,4,6,5,-1]=>[-1,5,6,4,2,3]
[3,2,5,6,4,-1]=>[-1,4,6,5,2,3]
[4,2,5,6,3,-1]=>[-1,3,6,5,2,4]
[3,2,4,5,6,-1]=>[-1,6,5,4,2,3]
[6,1,3,4,5,-2]=>[-2,5,4,3,1,6]
[5,1,3,4,6,-2]=>[-2,6,4,3,1,5]
[4,1,3,6,5,-2]=>[-2,5,6,3,1,4]
[5,1,3,6,4,-2]=>[-2,4,6,3,1,5]
[4,1,3,5,6,-2]=>[-2,6,5,3,1,4]
[6,1,2,4,5,-3]=>[-3,5,4,2,1,6]
[5,1,2,4,6,-3]=>[-3,6,4,2,1,5]
[6,1,2,3,5,-4]=>[-4,5,3,2,1,6]
[6,1,2,3,4,-5]=>[-5,4,3,2,1,6]
[5,1,2,3,6,-4]=>[-4,6,3,2,1,5]
[4,1,2,6,5,-3]=>[-3,5,6,2,1,4]
[5,1,2,6,4,-3]=>[-3,4,6,2,1,5]
[5,1,2,6,3,-4]=>[-4,3,6,2,1,5]
[4,1,2,5,6,-3]=>[-3,6,5,2,1,4]
[3,1,6,4,5,-2]=>[-2,5,4,6,1,3]
[3,1,5,4,6,-2]=>[-2,6,4,5,1,3]
[4,1,6,3,5,-2]=>[-2,5,3,6,1,4]
[5,1,6,3,4,-2]=>[-2,4,3,6,1,5]
[4,1,5,3,6,-2]=>[-2,6,3,5,1,4]
[4,1,6,2,5,-3]=>[-3,5,2,6,1,4]
[5,1,6,2,4,-3]=>[-3,4,2,6,1,5]
[5,1,6,2,3,-4]=>[-4,3,2,6,1,5]
[4,1,5,2,6,-3]=>[-3,6,2,5,1,4]
[3,1,4,6,5,-2]=>[-2,5,6,4,1,3]
[3,1,5,6,4,-2]=>[-2,4,6,5,1,3]
[4,1,5,6,3,-2]=>[-2,3,6,5,1,4]
[4,1,5,6,2,-3]=>[-3,2,6,5,1,4]
[3,1,4,5,6,-2]=>[-2,6,5,4,1,3]
[2,6,3,4,5,-1]=>[-1,5,4,3,6,2]
[2,5,3,4,6,-1]=>[-1,6,4,3,5,2]
[2,4,3,6,5,-1]=>[-1,5,6,3,4,2]
[2,5,3,6,4,-1]=>[-1,4,6,3,5,2]
[2,4,3,5,6,-1]=>[-1,6,5,3,4,2]
[3,6,2,4,5,-1]=>[-1,5,4,2,6,3]
[3,5,2,4,6,-1]=>[-1,6,4,2,5,3]
[4,6,2,3,5,-1]=>[-1,5,3,2,6,4]
[5,6,2,3,4,-1]=>[-1,4,3,2,6,5]
[4,5,2,3,6,-1]=>[-1,6,3,2,5,4]
[3,4,2,6,5,-1]=>[-1,5,6,2,4,3]
[3,5,2,6,4,-1]=>[-1,4,6,2,5,3]
[4,5,2,6,3,-1]=>[-1,3,6,2,5,4]
[3,4,2,5,6,-1]=>[-1,6,5,2,4,3]
[3,6,1,4,5,-2]=>[-2,5,4,1,6,3]
[3,5,1,4,6,-2]=>[-2,6,4,1,5,3]
[4,6,1,3,5,-2]=>[-2,5,3,1,6,4]
[5,6,1,3,4,-2]=>[-2,4,3,1,6,5]
[4,5,1,3,6,-2]=>[-2,6,3,1,5,4]
[4,6,1,2,5,-3]=>[-3,5,2,1,6,4]
[5,6,1,2,4,-3]=>[-3,4,2,1,6,5]
[5,6,1,2,3,-4]=>[-4,3,2,1,6,5]
[4,5,1,2,6,-3]=>[-3,6,2,1,5,4]
[3,4,1,6,5,-2]=>[-2,5,6,1,4,3]
[3,5,1,6,4,-2]=>[-2,4,6,1,5,3]
[4,5,1,6,3,-2]=>[-2,3,6,1,5,4]
[4,5,1,6,2,-3]=>[-3,2,6,1,5,4]
[3,4,1,5,6,-2]=>[-2,6,5,1,4,3]
[2,3,6,4,5,-1]=>[-1,5,4,6,3,2]
[2,3,5,4,6,-1]=>[-1,6,4,5,3,2]
[2,4,6,3,5,-1]=>[-1,5,3,6,4,2]
[2,5,6,3,4,-1]=>[-1,4,3,6,5,2]
[2,4,5,3,6,-1]=>[-1,6,3,5,4,2]
[3,4,6,2,5,-1]=>[-1,5,2,6,4,3]
[3,5,6,2,4,-1]=>[-1,4,2,6,5,3]
[4,5,6,2,3,-1]=>[-1,3,2,6,5,4]
[3,4,5,2,6,-1]=>[-1,6,2,5,4,3]
[3,4,6,1,5,-2]=>[-2,5,1,6,4,3]
[3,5,6,1,4,-2]=>[-2,4,1,6,5,3]
[4,5,6,1,3,-2]=>[-2,3,1,6,5,4]
[4,5,6,1,2,-3]=>[-3,2,1,6,5,4]
[3,4,5,1,6,-2]=>[-2,6,1,5,4,3]
[2,3,4,6,5,-1]=>[-1,5,6,4,3,2]
[2,3,5,6,4,-1]=>[-1,4,6,5,3,2]
[2,4,5,6,3,-1]=>[-1,3,6,5,4,2]
[3,4,5,6,2,-1]=>[-1,2,6,5,4,3]
[3,4,5,6,1,-2]=>[-2,1,6,5,4,3]
[2,3,4,5,6,-1]=>[-1,6,5,4,3,2]
[2,-6,-4,1,3,5]=>[5,3,1,-4,-6,2]
[4,-6,-2,1,3,5]=>[5,3,1,-2,-6,4]
[2,6,-4,1,3,5]=>[5,3,1,-4,6,2]
[-4,2,-6,1,3,5]=>[5,3,1,-6,2,-4]
[-4,-2,1,3,5,6]=>[6,5,3,1,-2,-4]
[2,-4,1,3,5,6]=>[6,5,3,1,-4,2]
[-5,-4,-2,1,3,6]=>[6,3,1,-2,-4,-5]
[2,-5,-4,1,3,6]=>[6,3,1,-4,-5,2]
[2,5,-4,1,3,6]=>[6,3,1,-4,5,2]
[-6,-5,-4,-2,1,3]=>[3,1,-2,-4,-5,-6]
[2,-6,-5,-4,1,3]=>[3,1,-4,-5,-6,2]
[2,6,-5,-4,1,3]=>[3,1,-4,-5,6,2]
[2,5,6,-4,1,3]=>[3,1,-4,6,5,2]
[2,-6,-5,1,3,4]=>[4,3,1,-5,-6,2]
[-2,-6,-5,1,3,4]=>[4,3,1,-5,-6,-2]
[-6,2,-5,1,3,4]=>[4,3,1,-5,2,-6]
[6,2,-5,1,3,4]=>[4,3,1,-5,2,6]
[2,-5,1,3,4,6]=>[6,4,3,1,-5,2]
[-2,-5,1,3,4,6]=>[6,4,3,1,-5,-2]
[-5,-2,1,3,4,6]=>[6,4,3,1,-2,-5]
[-5,-3,-2,1,4,6]=>[6,4,1,-2,-3,-5]
[3,-5,-2,1,4,6]=>[6,4,1,-2,-5,3]
[-6,-5,-2,1,3,4]=>[4,3,1,-2,-5,-6]
[-6,-5,-3,-2,1,4]=>[4,1,-2,-3,-5,-6]
[3,-6,-5,-2,1,4]=>[4,1,-2,-5,-6,3]
[3,6,-5,-2,1,4]=>[4,1,-2,-5,6,3]
[-2,-6,1,3,4,5]=>[5,4,3,1,-6,-2]
[-6,2,1,3,4,5]=>[5,4,3,1,2,-6]
[2,-6,1,3,4,5]=>[5,4,3,1,-6,2]
[3,-6,-2,1,4,5]=>[5,4,1,-2,-6,3]
[2,3,-6,1,4,5]=>[5,4,1,-6,3,2]
[-6,-2,1,3,4,5]=>[5,4,3,1,-2,-6]
[-6,-3,-2,1,4,5]=>[5,4,1,-2,-3,-6]
[-6,-4,-3,-2,1,5]=>[5,1,-2,-3,-4,-6]
[4,-6,-3,-2,1,5]=>[5,1,-2,-3,-6,4]
[-2,1,3,4,5,6]=>[6,5,4,3,1,-2]
[-3,-2,1,4,5,6]=>[6,5,4,1,-2,-3]
[-4,-3,-2,1,5,6]=>[6,5,1,-2,-3,-4]
[-5,-4,-3,-2,1,6]=>[6,1,-2,-3,-4,-5]
[-6,-5,-4,-3,-2,1]=>[1,-2,-3,-4,-5,-6]
[6,-4,-3,1,2,5]=>[5,2,1,-3,-4,6]
[-4,-6,-3,1,2,5]=>[5,2,1,-3,-6,-4]
[-6,3,4,1,2,5]=>[5,2,1,4,3,-6]
[4,-3,1,2,5,6]=>[6,5,2,1,-3,4]
[5,-4,-3,1,2,6]=>[6,2,1,-3,-4,5]
[4,5,-3,1,2,6]=>[6,2,1,-3,5,4]
[6,-5,-4,-3,1,2]=>[2,1,-3,-4,-5,6]
[5,6,-4,-3,1,2]=>[2,1,-3,-4,6,5]
[4,5,6,-3,1,2]=>[2,1,-3,6,5,4]
[5,6,-3,1,2,4]=>[4,2,1,-3,6,5]
[-3,6,-5,1,2,4]=>[4,2,1,-5,6,-3]
[-6,-5,3,1,2,4]=>[4,2,1,3,-5,-6]
[-5,3,1,2,4,6]=>[6,4,2,1,3,-5]
[5,-3,1,2,4,6]=>[6,4,2,1,-3,5]
[-5,-3,1,2,4,6]=>[6,4,2,1,-3,-5]
[3,-5,1,2,4,6]=>[6,4,2,1,-5,3]
[6,-5,-3,1,2,4]=>[4,2,1,-3,-5,6]
[-6,-5,-3,1,2,4]=>[4,2,1,-3,-5,-6]
[3,-6,-5,1,2,4]=>[4,2,1,-5,-6,3]
[3,6,-5,1,2,4]=>[4,2,1,-5,6,3]
[-6,3,1,2,4,5]=>[5,4,2,1,3,-6]
[3,-6,1,2,4,5]=>[5,4,2,1,-6,3]
[-3,-6,1,2,4,5]=>[5,4,2,1,-6,-3]
[6,-3,1,2,4,5]=>[5,4,2,1,-3,6]
[-6,-3,1,2,4,5]=>[5,4,2,1,-3,-6]
[-6,-4,-3,1,2,5]=>[5,2,1,-3,-4,-6]
[4,-6,-3,1,2,5]=>[5,2,1,-3,-6,4]
[-3,1,2,4,5,6]=>[6,5,4,2,1,-3]
[-4,-3,1,2,5,6]=>[6,5,2,1,-3,-4]
[-5,-4,-3,1,2,6]=>[6,2,1,-3,-4,-5]
[-6,-5,-4,-3,1,2]=>[2,1,-3,-4,-5,-6]
[-5,6,-4,1,2,3]=>[3,2,1,-4,6,-5]
[-6,1,-5,-4,2,3]=>[3,2,-4,-5,1,-6]
[-4,5,6,1,2,3]=>[3,2,1,6,5,-4]
[-5,-4,6,1,2,3]=>[3,2,1,6,-4,-5]
[-4,5,1,2,3,6]=>[6,3,2,1,5,-4]
[-5,1,-4,2,3,6]=>[6,3,2,-4,1,-5]
[1,-5,-4,2,3,6]=>[6,3,2,-4,-5,1]
[5,-4,1,2,3,6]=>[6,3,2,1,-4,5]
[1,-6,-5,-4,2,3]=>[3,2,-4,-5,-6,1]
[6,-5,-4,1,2,3]=>[3,2,1,-4,-5,6]
[5,6,-4,1,2,3]=>[3,2,1,-4,6,5]
[-6,1,-4,2,3,5]=>[5,3,2,-4,1,-6]
[4,1,-6,2,3,5]=>[5,3,2,-6,1,4]
[-4,6,1,2,3,5]=>[5,3,2,1,6,-4]
[-6,4,1,2,3,5]=>[5,3,2,1,4,-6]
[1,-6,-4,2,3,5]=>[5,3,2,-4,-6,1]
[6,-4,1,2,3,5]=>[5,3,2,1,-4,6]
[-6,-4,1,2,3,5]=>[5,3,2,1,-4,-6]
[4,-6,1,2,3,5]=>[5,3,2,1,-6,4]
[1,-4,2,3,5,6]=>[6,5,3,2,-4,1]
[-4,1,2,3,5,6]=>[6,5,3,2,1,-4]
[-5,-4,1,2,3,6]=>[6,3,2,1,-4,-5]
[-6,-5,-4,1,2,3]=>[3,2,1,-4,-5,-6]
[6,1,-5,2,3,4]=>[4,3,2,-5,1,6]
[-5,6,1,2,3,4]=>[4,3,2,1,6,-5]
[-6,1,-5,2,3,4]=>[4,3,2,-5,1,-6]
[1,6,-5,2,3,4]=>[4,3,2,-5,6,1]
[1,-6,-5,2,3,4]=>[4,3,2,-5,-6,1]
[6,-5,1,2,3,4]=>[4,3,2,1,-5,6]
[1,-5,2,3,4,6]=>[6,4,3,2,-5,1]
[-5,1,2,3,4,6]=>[6,4,3,2,1,-5]
[-6,-5,1,2,3,4]=>[4,3,2,1,-5,-6]
[1,2,-6,3,4,5]=>[5,4,3,-6,2,1]
[1,-6,2,3,4,5]=>[5,4,3,2,-6,1]
[-6,1,2,3,4,5]=>[5,4,3,2,1,-6]
[2,-3,1,4,5,6]=>[6,5,4,1,-3,2]
[-2,-4,1,3,5,6]=>[6,5,3,1,-4,-2]
[-4,3,1,2,5,6]=>[6,5,2,1,3,-4]
[-5,2,1,3,4,6]=>[6,4,3,1,2,-5]
[4,1,-5,2,3,6]=>[6,3,2,-5,1,4]
[-2,1,-6,3,4,5]=>[5,4,3,-6,1,-2]
[3,1,-6,2,4,5]=>[5,4,2,-6,1,3]
[1,-4,-6,2,3,5]=>[5,3,2,-6,-4,1]
[1,-6,5,2,3,4]=>[4,3,2,5,-6,1]
[2,5,-3,1,4,6]=>[6,4,1,-3,5,2]
[-5,2,-4,1,3,6]=>[6,3,1,-4,2,-5]
[-4,3,5,1,2,6]=>[6,2,1,5,3,-4]
[4,2,-5,1,3,6]=>[6,3,1,-5,2,4]
[-3,2,-6,1,4,5]=>[5,4,1,-6,2,-3]
[6,2,-4,1,3,5]=>[5,3,1,-4,2,6]
[-6,-4,3,1,2,5]=>[5,2,1,3,-4,-6]
[6,-2,-5,1,3,4]=>[4,3,1,-5,-2,6]
[6,-5,3,1,2,4]=>[4,2,1,3,-5,6]
[6,-4,1,-5,2,3]=>[3,2,-5,1,-4,6]
[3,-6,4,1,2,5]=>[5,2,1,4,-6,3]
[-2,-5,-6,1,3,4]=>[4,3,1,-6,-5,-2]
[-5,-6,3,1,2,4]=>[4,2,1,3,-6,-5]
[4,5,1,-6,2,3]=>[3,2,-6,1,5,4]
[-3,2,-4,1,5,6]=>[6,5,1,-4,2,-3]
[3,2,-5,1,4,6]=>[6,4,1,-5,2,3]
[2,-4,-5,1,3,6]=>[6,3,1,-5,-4,2]
[4,-5,3,1,2,6]=>[6,2,1,3,-5,4]
[2,-3,-6,1,4,5]=>[5,4,1,-6,-3,2]
[-2,-4,-6,1,3,5]=>[5,3,1,-6,-4,-2]
[-4,-6,3,1,2,5]=>[5,2,1,3,-6,-4]
[-5,-6,2,1,3,4]=>[4,3,1,2,-6,-5]
[-6,5,3,1,2,4]=>[4,2,1,3,5,-6]
[-5,4,1,-6,2,3]=>[3,2,-6,1,4,-5]
[-5,-3,2,-6,1,4]=>[4,1,-6,2,-3,-5]
[5,-6,2,-4,1,3]=>[3,1,-4,2,-6,5]
[4,-6,3,5,1,2]=>[2,1,5,3,-6,4]
[-4,-6,2,-5,1,3]=>[3,1,-5,2,-6,-4]
[-3,2,6,-4,1,5]=>[5,1,-4,6,2,-3]
[6,-4,2,-5,1,3]=>[3,1,-5,2,-4,6]
[4,-5,3,6,1,2]=>[2,1,6,3,-5,4]
[5,-3,2,-6,1,4]=>[4,1,-6,2,-3,5]
[4,5,2,-6,1,3]=>[3,1,-6,2,5,4]
[-4,-6,3,5,1,2]=>[2,1,5,3,-6,-4]
[-5,4,2,-6,1,3]=>[3,1,-6,2,4,-5]
[-6,5,3,4,1,2]=>[2,1,4,3,5,-6]
[3,-4,2,-5,1,6]=>[6,1,-5,2,-4,3]
[-3,-4,2,-6,1,5]=>[5,1,-6,2,-4,-3]
[-5,3,2,-6,1,4]=>[4,1,-6,2,3,-5]
[-4,2,-5,-6,1,3]=>[3,1,-6,-5,2,-4]
[-5,4,-6,3,1,2]=>[2,1,3,-6,4,-5]
[3,5,6,4,1,-2]=>[-2,1,4,6,5,3]
[4,5,3,6,1,-2]=>[-2,1,6,3,5,4]
[4,5,6,3,1,-2]=>[-2,1,3,6,5,4]
[4,6,3,1,5,-2]=>[-2,5,1,3,6,4]
[5,1,6,4,3,-2]=>[-2,3,4,6,1,5]
[5,6,3,4,1,-2]=>[-2,1,4,3,6,5]
[1,5,6,4,2,-3]=>[-3,2,4,6,5,1]
[4,2,5,6,1,-3]=>[-3,1,6,5,2,4]
[4,2,6,1,5,-3]=>[-3,5,1,6,2,4]
[4,5,2,6,1,-3]=>[-3,1,6,2,5,4]
[4,6,2,1,5,-3]=>[-3,5,1,2,6,4]
[5,2,1,6,4,-3]=>[-3,4,6,1,2,5]
[5,2,6,4,1,-3]=>[-3,1,4,6,2,5]
[5,6,2,4,1,-3]=>[-3,1,4,2,6,5]
[6,2,1,4,5,-3]=>[-3,5,4,1,2,6]
[1,5,3,6,2,-4]=>[-4,2,6,3,5,1]
[1,5,6,3,2,-4]=>[-4,2,3,6,5,1]
[1,6,3,2,5,-4]=>[-4,5,2,3,6,1]
[5,2,3,6,1,-4]=>[-4,1,6,3,2,5]
[5,2,6,3,1,-4]=>[-4,1,3,6,2,5]
[5,6,3,2,1,-4]=>[-4,1,2,3,6,5]
[6,2,3,1,5,-4]=>[-4,5,1,3,2,6]
[1,2,6,4,3,-5]=>[-5,3,4,6,2,1]
[1,6,3,4,2,-5]=>[-5,2,4,3,6,1]
[6,2,3,4,1,-5]=>[-5,1,4,3,2,6]
[2,3,4,5,-1,6]=>[6,-1,5,4,3,2]
[2,3,4,-1,5,6]=>[6,5,-1,4,3,2]
[2,3,-1,4,5,6]=>[6,5,4,-1,3,2]
[2,3,6,5,4,-1]=>[-1,4,5,6,3,2]
[2,-1,3,4,5,6]=>[6,5,4,3,-1,2]
[2,6,3,5,4,-1]=>[-1,4,5,3,6,2]
[2,5,4,3,6,-1]=>[-1,6,3,4,5,2]
[2,6,4,3,5,-1]=>[-1,5,3,4,6,2]
[2,6,5,3,4,-1]=>[-1,4,3,5,6,2]
[2,6,5,4,3,-1]=>[-1,3,4,5,6,2]
[3,2,4,5,-1,6]=>[6,-1,5,4,2,3]
[3,2,6,5,4,-1]=>[-1,4,5,6,2,3]
[6,2,3,5,4,-1]=>[-1,4,5,3,2,6]
[5,2,4,3,6,-1]=>[-1,6,3,4,2,5]
[6,2,4,3,5,-1]=>[-1,5,3,4,2,6]
[6,2,5,3,4,-1]=>[-1,4,3,5,2,6]
[6,2,5,4,3,-1]=>[-1,3,4,5,2,6]
[4,3,2,5,6,-1]=>[-1,6,5,2,3,4]
[4,3,2,6,5,-1]=>[-1,5,6,2,3,4]
[5,3,2,4,6,-1]=>[-1,6,4,2,3,5]
[6,3,2,4,5,-1]=>[-1,5,4,2,3,6]
[6,3,2,5,4,-1]=>[-1,4,5,2,3,6]
[5,4,2,3,6,-1]=>[-1,6,3,2,4,5]
[6,4,2,3,5,-1]=>[-1,5,3,2,4,6]
[6,5,2,3,4,-1]=>[-1,4,3,2,5,6]
[6,5,2,4,3,-1]=>[-1,3,4,2,5,6]
[5,4,3,2,6,-1]=>[-1,6,2,3,4,5]
[6,4,3,2,5,-1]=>[-1,5,2,3,4,6]
[6,5,3,2,4,-1]=>[-1,4,2,3,5,6]
[6,5,4,2,3,-1]=>[-1,3,2,4,5,6]
[6,5,4,3,2,-1]=>[-1,2,3,4,5,6]
[3,4,5,6,-1,2]=>[2,-1,6,5,4,3]
[3,4,5,-1,2,6]=>[6,2,-1,5,4,3]
[4,5,6,-1,2,3]=>[3,2,-1,6,5,4]
[5,6,3,-1,4,2]=>[2,4,-1,3,6,5]
[-2,-3,-4,-5,-6,1]=>[1,-6,-5,-4,-3,-2]
[2,-3,-4,-6,-5,1]=>[1,-5,-6,-4,-3,2]
[3,2,-5,-4,-6,1]=>[1,-6,-4,-5,2,3]
[-3,2,-6,-4,-5,1]=>[1,-5,-4,-6,2,-3]
[3,2,-6,-5,-4,1]=>[1,-4,-5,-6,2,3]
[-3,4,2,-5,-6,1]=>[1,-6,-5,2,4,-3]
[3,4,2,-6,-5,1]=>[1,-5,-6,2,4,3]
[-5,-3,2,-6,-4,1]=>[1,-4,-6,2,-3,-5]
[4,5,2,-6,-3,1]=>[1,-3,-6,2,5,4]
[-6,-3,2,-4,-5,1]=>[1,-5,-4,2,-3,-6]
[6,-3,2,-5,-4,1]=>[1,-4,-5,2,-3,6]
[4,6,2,-3,-5,1]=>[1,-5,-3,2,6,4]
[-5,6,2,-3,-4,1]=>[1,-4,-3,2,6,-5]
[5,6,2,-4,-3,1]=>[1,-3,-4,2,6,5]
[-4,-5,2,3,-6,1]=>[1,-6,3,2,-5,-4]
[4,-6,2,3,-5,1]=>[1,-5,3,2,-6,4]
[-4,6,2,3,-5,1]=>[1,-5,3,2,6,-4]
[5,6,2,3,-4,1]=>[1,-4,3,2,6,5]
[-2,-5,-6,4,-3,1]=>[1,-3,4,-6,-5,-2]
[-3,-6,2,4,-5,1]=>[1,-5,4,2,-6,-3]
[2,5,3,4,-6,1]=>[1,-6,4,3,5,2]
[5,6,3,4,-2,1]=>[1,-2,4,3,6,5]
[-2,-3,-6,5,-4,1]=>[1,-4,5,-6,-3,-2]
[4,-3,2,5,-6,1]=>[1,-6,5,2,-3,4]
[4,2,3,5,-6,1]=>[1,-6,5,3,2,4]
[2,-6,4,5,-3,1]=>[1,-3,5,4,-6,2]
[3,6,4,5,-2,1]=>[1,-2,5,4,6,3]
[-2,-3,-4,6,-5,1]=>[1,-5,6,-4,-3,-2]
[2,-3,-5,6,-4,1]=>[1,-4,6,-5,-3,2]
[4,2,-3,6,-5,1]=>[1,-5,6,-3,2,4]
[-5,2,-3,6,-4,1]=>[1,-4,6,-3,2,-5]
[5,2,-4,6,-3,1]=>[1,-3,6,-4,2,5]
[-4,2,3,6,-5,1]=>[1,-5,6,3,2,-4]
[5,2,3,6,-4,1]=>[1,-4,6,3,2,5]
[-2,-5,4,6,-3,1]=>[1,-3,6,4,-5,-2]
[5,3,4,6,-2,1]=>[1,-2,6,4,3,5]
[-2,-3,5,6,-4,1]=>[1,-4,6,5,-3,-2]
[2,-4,5,6,-3,1]=>[1,-3,6,5,-4,2]
[2,3,5,6,-4,1]=>[1,-4,6,5,3,2]
[-2,4,5,6,-3,1]=>[1,-3,6,5,4,-2]
[3,4,5,6,-2,1]=>[1,-2,6,5,4,3]
[-4,-5,-6,3,1,2]=>[2,1,3,-6,-5,-4]
[4,-6,-5,3,1,2]=>[2,1,3,-5,-6,4]
[4,5,-6,3,1,2]=>[2,1,3,-6,5,4]
[-4,6,-5,3,1,2]=>[2,1,3,-5,6,-4]
[5,6,-4,3,1,2]=>[2,1,3,-4,6,5]
[-6,-4,3,5,1,2]=>[2,1,5,3,-4,-6]
[-4,-5,3,6,1,2]=>[2,1,6,3,-5,-4]
[5,-4,3,6,1,2]=>[2,1,6,3,-4,5]
[-4,3,5,6,1,2]=>[2,1,6,5,3,-4]
[-4,-5,-6,-2,1,3]=>[3,1,-2,-6,-5,-4]
[-4,-6,-5,2,1,3]=>[3,1,2,-5,-6,-4]
[2,-4,-6,5,1,3]=>[3,1,5,-6,-4,2]
[6,-4,-5,2,1,3]=>[3,1,2,-5,-4,6]
[2,-5,-4,6,1,3]=>[3,1,6,-4,-5,2]
[-6,5,1,4,2,3]=>[3,2,4,1,5,-6]
[-2,-5,-6,-3,1,4]=>[4,1,-3,-6,-5,-2]
[2,-6,-5,-3,1,4]=>[4,1,-3,-5,-6,2]
[5,2,-6,3,1,4]=>[4,1,3,-6,2,5]
[2,6,-5,3,1,4]=>[4,1,3,-5,6,2]
[-6,5,-2,1,3,4]=>[4,3,1,-2,5,-6]
[-5,6,2,1,3,4]=>[4,3,1,2,6,-5]
[-2,-3,-6,-4,1,5]=>[5,1,-4,-6,-3,-2]
[4,2,-6,-3,1,5]=>[5,1,-3,-6,2,4]
[-4,2,-6,3,1,5]=>[5,1,3,-6,2,-4]
[-6,-2,4,-3,1,5]=>[5,1,-3,4,-2,-6]
[3,6,4,-2,1,5]=>[5,1,-2,4,6,3]
[-6,-2,-3,1,4,5]=>[5,4,1,-3,-2,-6]
[-6,2,3,1,4,5]=>[5,4,1,3,2,-6]
[-2,6,1,3,4,5]=>[5,4,3,1,6,-2]
[-2,-3,-4,-5,1,6]=>[6,1,-5,-4,-3,-2]
[2,-3,-5,-4,1,6]=>[6,1,-4,-5,-3,2]
[4,2,-3,-5,1,6]=>[6,1,-5,-3,2,4]
[-5,2,-3,-4,1,6]=>[6,1,-4,-3,2,-5]
[5,2,-4,-3,1,6]=>[6,1,-3,-4,2,5]
[-4,2,3,-5,1,6]=>[6,1,-5,3,2,-4]
[5,2,3,-4,1,6]=>[6,1,-4,3,2,5]
[-2,-5,4,-3,1,6]=>[6,1,-3,4,-5,-2]
[5,3,4,-2,1,6]=>[6,1,-2,4,3,5]
[-2,-3,5,-4,1,6]=>[6,1,-4,5,-3,-2]
[2,-4,5,-3,1,6]=>[6,1,-3,5,-4,2]
[2,3,5,-4,1,6]=>[6,1,-4,5,3,2]
[-2,4,5,-3,1,6]=>[6,1,-3,5,4,-2]
[3,4,5,-2,1,6]=>[6,1,-2,5,4,3]
[-4,-5,3,1,2,6]=>[6,2,1,3,-5,-4]
[5,-4,3,1,2,6]=>[6,2,1,3,-4,5]
[-4,-5,-2,1,3,6]=>[6,3,1,-2,-5,-4]
[-5,-4,2,1,3,6]=>[6,3,1,2,-4,-5]
[-2,-5,-3,1,4,6]=>[6,4,1,-3,-5,-2]
[2,-5,3,1,4,6]=>[6,4,1,3,-5,2]
[5,-2,1,3,4,6]=>[6,4,3,1,-2,5]
[-2,-3,-4,1,5,6]=>[6,5,1,-4,-3,-2]
[2,-4,-3,1,5,6]=>[6,5,1,-3,-4,2]
[2,3,-4,1,5,6]=>[6,5,1,-4,3,2]
[-2,4,-3,1,5,6]=>[6,5,1,-3,4,-2]
[3,4,-2,1,5,6]=>[6,5,1,-2,4,3]
[-2,-3,1,4,5,6]=>[6,5,4,1,-3,-2]
[3,-2,1,4,5,6]=>[6,5,4,1,-2,3]
[5,-6,1,2,3,4]=>[4,3,2,1,-6,5]
[5,-6,-4,1,2,3]=>[3,2,1,-4,-6,5]
[4,-5,1,2,3,6]=>[6,3,2,1,-5,4]
[4,-6,-5,1,2,3]=>[3,2,1,-5,-6,4]
[4,6,-5,1,2,3]=>[3,2,1,-5,6,4]
[-5,4,-6,1,2,3]=>[3,2,1,-6,4,-5]
[5,-6,-3,1,2,4]=>[4,2,1,-3,-6,5]
[5,-6,-4,-3,1,2]=>[2,1,-3,-4,-6,5]
[4,-5,-3,1,2,6]=>[6,2,1,-3,-5,4]
[4,-6,-5,-3,1,2]=>[2,1,-3,-5,-6,4]
[4,6,-5,-3,1,2]=>[2,1,-3,-5,6,4]
[-5,4,-6,-3,1,2]=>[2,1,-3,-6,4,-5]
[3,-4,1,2,5,6]=>[6,5,2,1,-4,3]
[3,-6,-4,1,2,5]=>[5,2,1,-4,-6,3]
[3,-5,-4,1,2,6]=>[6,2,1,-4,-5,3]
[3,-6,-5,-4,1,2]=>[2,1,-4,-5,-6,3]
[3,5,-6,-4,1,2]=>[2,1,-4,-6,5,3]
[3,5,-4,1,2,6]=>[6,2,1,-4,5,3]
[3,6,-5,-4,1,2]=>[2,1,-4,-5,6,3]
[3,5,6,-4,1,2]=>[2,1,-4,6,5,3]
[-6,3,5,-4,1,2]=>[2,1,-4,5,3,-6]
[-4,3,-5,1,2,6]=>[6,2,1,-5,3,-4]
[-4,3,-6,-5,1,2]=>[2,1,-5,-6,3,-4]
[-4,3,6,-5,1,2]=>[2,1,-5,6,3,-4]
[-6,-4,3,-5,1,2]=>[2,1,-5,3,-4,-6]
[4,-5,3,-6,1,2]=>[2,1,-6,3,-5,4]
[5,-6,-2,1,3,4]=>[4,3,1,-2,-6,5]
[5,-6,-4,-2,1,3]=>[3,1,-2,-4,-6,5]
[4,-5,-2,1,3,6]=>[6,3,1,-2,-5,4]
[4,-6,-5,-2,1,3]=>[3,1,-2,-5,-6,4]
[4,6,-5,-2,1,3]=>[3,1,-2,-5,6,4]
[5,-6,-3,-2,1,4]=>[4,1,-2,-3,-6,5]
[5,-6,-4,-3,-2,1]=>[1,-2,-3,-4,-6,5]
[4,-5,-3,-2,1,6]=>[6,1,-2,-3,-5,4]
[4,-6,-5,-3,-2,1]=>[1,-2,-3,-5,-6,4]
[4,6,-5,-3,-2,1]=>[1,-2,-3,-5,6,4]
[-5,4,-6,-3,-2,1]=>[1,-2,-3,-6,4,-5]
[3,-4,-2,1,5,6]=>[6,5,1,-2,-4,3]
[3,-6,-4,-2,1,5]=>[5,1,-2,-4,-6,3]
[3,-5,-4,-2,1,6]=>[6,1,-2,-4,-5,3]
[3,-6,-5,-4,-2,1]=>[1,-2,-4,-5,-6,3]
[3,5,-6,-4,-2,1]=>[1,-2,-4,-6,5,3]
[3,5,-4,-2,1,6]=>[6,1,-2,-4,5,3]
[3,6,-5,-4,-2,1]=>[1,-2,-4,-5,6,3]
[3,5,6,-4,-2,1]=>[1,-2,-4,6,5,3]
[-6,3,5,-4,-2,1]=>[1,-2,-4,5,3,-6]
[-4,3,-5,-2,1,6]=>[6,1,-2,-5,3,-4]
[-4,3,-6,-5,-2,1]=>[1,-2,-5,-6,3,-4]
[-4,3,6,-5,-2,1]=>[1,-2,-5,6,3,-4]
[-6,-4,3,-5,-2,1]=>[1,-2,-5,3,-4,-6]
[4,-5,3,-6,-2,1]=>[1,-2,-6,3,-5,4]
[2,-6,-3,1,4,5]=>[5,4,1,-3,-6,2]
[2,-5,-3,1,4,6]=>[6,4,1,-3,-5,2]
[2,5,-6,-3,1,4]=>[4,1,-3,-6,5,2]
[2,-6,-4,-3,1,5]=>[5,1,-3,-4,-6,2]
[2,-5,-4,-3,1,6]=>[6,1,-3,-4,-5,2]
[2,-6,-5,-4,-3,1]=>[1,-3,-4,-5,-6,2]
[2,5,-6,-4,-3,1]=>[1,-3,-4,-6,5,2]
[2,4,-5,-3,1,6]=>[6,1,-3,-5,4,2]
[2,4,-6,-5,-3,1]=>[1,-3,-5,-6,4,2]
[2,4,6,-5,-3,1]=>[1,-3,-5,6,4,2]
[-5,2,4,-6,-3,1]=>[1,-3,-6,4,2,-5]
[2,4,-3,1,5,6]=>[6,5,1,-3,4,2]
[2,6,-4,-3,1,5]=>[5,1,-3,-4,6,2]
[2,5,-4,-3,1,6]=>[6,1,-3,-4,5,2]
[2,6,-5,-4,-3,1]=>[1,-3,-4,-5,6,2]
[-5,2,-6,-4,-3,1]=>[1,-3,-4,-6,2,-5]
[2,4,5,-3,1,6]=>[6,1,-3,5,4,2]
[2,5,6,-4,-3,1]=>[1,-3,-4,6,5,2]
[2,4,5,6,-3,1]=>[1,-3,6,5,4,2]
[-6,2,4,5,-3,1]=>[1,-3,5,4,2,-6]
[-5,2,4,-3,1,6]=>[6,1,-3,4,2,-5]
[-4,2,6,-5,-3,1]=>[1,-3,-5,6,2,-4]
[-5,2,4,6,-3,1]=>[1,-3,6,4,2,-5]
[-6,-5,2,4,-3,1]=>[1,-3,4,2,-5,-6]
[5,-6,2,4,-3,1]=>[1,-3,4,2,-6,5]
[-3,2,-5,-4,1,6]=>[6,1,-4,-5,2,-3]
[-3,2,-6,-5,-4,1]=>[1,-4,-5,-6,2,-3]
[-3,2,5,-6,-4,1]=>[1,-4,-6,5,2,-3]
[-3,2,5,-4,1,6]=>[6,1,-4,5,2,-3]
[-3,2,6,-5,-4,1]=>[1,-4,-5,6,2,-3]
[-3,2,5,6,-4,1]=>[1,-4,6,5,2,-3]
[-6,-3,2,5,-4,1]=>[1,-4,5,2,-3,-6]
[-5,-3,2,-4,1,6]=>[6,1,-4,2,-3,-5]
[-6,-3,2,-5,-4,1]=>[1,-4,-5,2,-3,-6]
[-5,-3,2,6,-4,1]=>[1,-4,6,2,-3,-5]
[-6,-5,-3,2,-4,1]=>[1,-4,2,-3,-5,-6]
[5,-6,-3,2,-4,1]=>[1,-4,2,-3,-6,5]
[3,-4,2,-6,-5,1]=>[1,-5,-6,2,-4,3]
[3,-4,2,6,-5,1]=>[1,-5,6,2,-4,3]
[3,-6,-4,2,-5,1]=>[1,-5,2,-4,-6,3]
[3,6,-4,2,-5,1]=>[1,-5,2,-4,6,3]
[-6,1,5,2,3,4]=>[4,3,2,5,1,-6]
[-6,1,4,2,3,5]=>[5,3,2,4,1,-6]
[1,-5,-6,2,3,4]=>[4,3,2,-6,-5,1]
[-6,-4,-5,1,2,3]=>[3,2,1,-5,-4,-6]
[-6,3,5,1,2,4]=>[4,2,1,5,3,-6]
[4,-6,5,1,2,3]=>[3,2,1,5,-6,4]
[5,2,-6,1,3,4]=>[4,3,1,-6,2,5]
[-6,-3,-5,1,2,4]=>[4,2,1,-5,-3,-6]
[4,1,-6,-5,2,3]=>[3,2,-5,-6,1,4]
[-4,3,6,1,2,5]=>[5,2,1,6,3,-4]
[3,-6,5,1,2,4]=>[4,2,1,5,-6,3]
[-3,6,-5,-4,1,2]=>[2,1,-4,-5,6,-3]
[4,2,-6,1,3,5]=>[5,3,1,-6,2,4]
[2,-5,-6,1,3,4]=>[4,3,1,-6,-5,2]
[-4,2,-6,-5,1,3]=>[3,1,-5,-6,2,-4]
[-4,-3,6,-5,1,2]=>[2,1,-5,6,-3,-4]
[-5,3,-6,-2,1,4]=>[4,1,-2,-6,3,-5]
[-5,-4,2,-6,1,3]=>[3,1,-6,2,-4,-5]
[3,-6,4,5,1,2]=>[2,1,5,4,-6,3]
[3,1,2,6,5,-4]=>[-4,5,6,2,1,3]
[3,1,6,2,4,-5]=>[-5,4,2,6,1,3]
[3,1,5,2,4,-6]=>[-6,4,2,5,1,3]
[4,5,1,2,3,-6]=>[-6,3,2,1,5,4]
[4,6,1,2,3,-5]=>[-5,3,2,1,6,4]
[1,6,5,3,4,-2]=>[-2,4,3,5,6,1]
[6,1,5,2,4,-3]=>[-3,4,2,5,1,6]
[6,5,1,2,3,-4]=>[-4,3,2,1,5,6]
[6,4,1,2,3,-5]=>[-5,3,2,1,4,6]
[5,4,1,2,3,-6]=>[-6,3,2,1,4,5]
[5,4,3,2,1,-6]=>[-6,1,2,3,4,5]
[5,4,3,1,2,-6]=>[-6,2,1,3,4,5]
[5,4,1,3,2,-6]=>[-6,2,3,1,4,5]
[5,4,2,1,3,-6]=>[-6,3,1,2,4,5]
[5,1,4,3,2,-6]=>[-6,2,3,4,1,5]
[5,1,4,2,3,-6]=>[-6,3,2,4,1,5]
[5,2,1,4,3,-6]=>[-6,3,4,1,2,5]
[5,1,2,4,3,-6]=>[-6,3,4,2,1,5]
[5,3,2,1,4,-6]=>[-6,4,1,2,3,5]
[5,3,1,2,4,-6]=>[-6,4,2,1,3,5]
[5,1,3,2,4,-6]=>[-6,4,2,3,1,5]
[5,2,1,3,4,-6]=>[-6,4,3,1,2,5]
[5,1,2,3,4,-6]=>[-6,4,3,2,1,5]
[1,5,4,3,2,-6]=>[-6,2,3,4,5,1]
[1,5,4,2,3,-6]=>[-6,3,2,4,5,1]
[1,5,2,4,3,-6]=>[-6,3,4,2,5,1]
[1,5,3,2,4,-6]=>[-6,4,2,3,5,1]
[1,5,2,3,4,-6]=>[-6,4,3,2,5,1]
[2,1,5,4,3,-6]=>[-6,3,4,5,1,2]
[2,1,5,3,4,-6]=>[-6,4,3,5,1,2]
[1,2,5,4,3,-6]=>[-6,3,4,5,2,1]
[1,2,5,3,4,-6]=>[-6,4,3,5,2,1]
[3,2,1,5,4,-6]=>[-6,4,5,1,2,3]
[3,1,2,5,4,-6]=>[-6,4,5,2,1,3]
[1,3,2,5,4,-6]=>[-6,4,5,2,3,1]
[2,1,3,5,4,-6]=>[-6,4,5,3,1,2]
[1,2,3,5,4,-6]=>[-6,4,5,3,2,1]
[4,3,2,1,5,-6]=>[-6,5,1,2,3,4]
[4,3,1,2,5,-6]=>[-6,5,2,1,3,4]
[4,1,3,2,5,-6]=>[-6,5,2,3,1,4]
[4,2,1,3,5,-6]=>[-6,5,3,1,2,4]
[4,1,2,3,5,-6]=>[-6,5,3,2,1,4]
[1,4,3,2,5,-6]=>[-6,5,2,3,4,1]
[1,4,2,3,5,-6]=>[-6,5,3,2,4,1]
[2,1,4,3,5,-6]=>[-6,5,3,4,1,2]
[1,2,4,3,5,-6]=>[-6,5,3,4,2,1]
[3,2,1,4,5,-6]=>[-6,5,4,1,2,3]
[3,1,2,4,5,-6]=>[-6,5,4,2,1,3]
[1,3,2,4,5,-6]=>[-6,5,4,2,3,1]
[2,1,3,4,5,-6]=>[-6,5,4,3,1,2]
[1,6,5,4,3,-2]=>[-2,3,4,5,6,1]
[1,6,3,5,4,-2]=>[-2,4,5,3,6,1]
[1,6,4,3,5,-2]=>[-2,5,3,4,6,1]
[2,1,6,5,4,-3]=>[-3,4,5,6,1,2]
[2,1,6,4,5,-3]=>[-3,5,4,6,1,2]
[1,2,6,5,4,-3]=>[-3,4,5,6,2,1]
[1,3,6,5,4,-2]=>[-2,4,5,6,3,1]
[3,2,1,6,5,-4]=>[-4,5,6,1,2,3]
[1,3,2,6,5,-4]=>[-4,5,6,2,3,1]
[2,1,3,6,5,-4]=>[-4,5,6,3,1,2]
[2,1,4,6,5,-3]=>[-3,5,6,4,1,2]
[4,3,2,1,6,-5]=>[-5,6,1,2,3,4]
[4,3,1,2,6,-5]=>[-5,6,2,1,3,4]
[4,1,3,2,6,-5]=>[-5,6,2,3,1,4]
[4,2,1,3,6,-5]=>[-5,6,3,1,2,4]
[4,1,2,3,6,-5]=>[-5,6,3,2,1,4]
[1,4,3,2,6,-5]=>[-5,6,2,3,4,1]
[1,4,2,3,6,-5]=>[-5,6,3,2,4,1]
[2,1,4,3,6,-5]=>[-5,6,3,4,1,2]
[1,2,4,3,6,-5]=>[-5,6,3,4,2,1]
[3,2,1,4,6,-5]=>[-5,6,4,1,2,3]
[3,1,2,4,6,-5]=>[-5,6,4,2,1,3]
[1,3,2,4,6,-5]=>[-5,6,4,2,3,1]
[2,1,3,4,6,-5]=>[-5,6,4,3,1,2]
[1,5,4,3,6,-2]=>[-2,6,3,4,5,1]
[2,1,5,4,6,-3]=>[-3,6,4,5,1,2]
[3,2,1,5,6,-4]=>[-4,6,5,1,2,3]
[3,1,2,5,6,-4]=>[-4,6,5,2,1,3]
[1,3,2,5,6,-4]=>[-4,6,5,2,3,1]
[2,1,3,5,6,-4]=>[-4,6,5,3,1,2]
[2,1,4,5,6,-3]=>[-3,6,5,4,1,2]
[-2,1,-4,3,-6,5]=>[5,-6,3,-4,1,-2]
[-2,4,1,3,-6,5]=>[5,-6,3,1,4,-2]
[-2,1,-4,6,3,5]=>[5,3,6,-4,1,-2]
[-2,6,1,-4,3,5]=>[5,3,-4,1,6,-2]
[-2,4,1,6,3,5]=>[5,3,6,1,4,-2]
[-2,1,-4,3,5,6]=>[6,5,3,-4,1,-2]
[-2,4,1,3,5,6]=>[6,5,3,1,4,-2]
[-2,1,5,-4,3,6]=>[6,3,-4,5,1,-2]
[5,-2,1,-4,3,6]=>[6,3,-4,1,-2,5]
[-2,4,5,1,3,6]=>[6,3,1,5,4,-2]
[-2,1,5,6,-4,3]=>[3,-4,6,5,1,-2]
[5,-2,1,6,-4,3]=>[3,-4,6,1,-2,5]
[5,6,-2,1,-4,3]=>[3,-4,1,-2,6,5]
[-2,4,5,6,1,3]=>[3,1,6,5,4,-2]
[-2,1,-6,3,-5,4]=>[4,-5,3,-6,1,-2]
[-2,6,1,3,-5,4]=>[4,-5,3,1,6,-2]
[-2,-5,1,6,3,4]=>[4,3,6,1,-5,-2]
[-2,6,-5,1,3,4]=>[4,3,1,-5,6,-2]
[-2,1,5,6,3,4]=>[4,3,6,5,1,-2]
[-2,1,5,3,4,6]=>[6,4,3,5,1,-2]
[-2,1,3,-5,4,6]=>[6,4,-5,3,1,-2]
[3,-2,1,-5,4,6]=>[6,4,-5,1,-2,3]
[3,-2,5,1,4,6]=>[6,4,1,5,-2,3]
[-2,1,3,6,-5,4]=>[4,-5,6,3,1,-2]
[3,-2,1,6,-5,4]=>[4,-5,6,1,-2,3]
[3,6,-2,1,-5,4]=>[4,-5,1,-2,6,3]
[3,-2,5,6,1,4]=>[4,1,6,5,-2,3]
[-2,1,3,6,4,5]=>[5,4,6,3,1,-2]
[3,-2,-6,1,4,5]=>[5,4,1,-6,-2,3]
[3,-2,1,6,4,5]=>[5,4,6,1,-2,3]
[-2,1,3,4,-6,5]=>[5,-6,4,3,1,-2]
[3,-2,1,4,-6,5]=>[5,-6,4,1,-2,3]
[3,4,-2,1,-6,5]=>[5,-6,1,-2,4,3]
[3,4,-2,6,1,5]=>[5,1,6,-2,4,3]
[-4,1,-3,2,-6,5]=>[5,-6,2,-3,1,-4]
[3,4,1,2,-6,5]=>[5,-6,2,1,4,3]
[-4,1,-3,6,2,5]=>[5,2,6,-3,1,-4]
[-4,6,1,-3,2,5]=>[5,2,-3,1,6,-4]
[-4,1,-3,2,5,6]=>[6,5,2,-3,1,-4]
[-4,1,5,-3,2,6]=>[6,2,-3,5,1,-4]
[5,-4,1,-3,2,6]=>[6,2,-3,1,-4,5]
[-4,1,5,6,-3,2]=>[2,-3,6,5,1,-4]
[5,-4,1,6,-3,2]=>[2,-3,6,1,-4,5]
[5,6,-4,1,-3,2]=>[2,-3,1,-4,6,5]
[-6,1,-3,2,-5,4]=>[4,-5,2,-3,1,-6]
[3,6,1,2,-5,4]=>[4,-5,2,1,6,3]
[5,1,-3,6,2,4]=>[4,2,6,-3,1,5]
[5,6,1,-3,2,4]=>[4,2,-3,1,6,5]
[5,1,-3,2,4,6]=>[6,4,2,-3,1,5]
[3,1,2,-5,4,6]=>[6,4,-5,2,1,3]
[1,-3,2,-5,4,6]=>[6,4,-5,2,-3,1]
[1,-3,5,2,4,6]=>[6,4,2,5,-3,1]
[3,1,2,6,-5,4]=>[4,-5,6,2,1,3]
[1,-3,2,6,-5,4]=>[4,-5,6,2,-3,1]
[1,6,-3,2,-5,4]=>[4,-5,2,-3,6,1]
[1,-3,5,6,2,4]=>[4,2,6,5,-3,1]
[1,6,-3,2,4,5]=>[5,4,2,-3,6,1]
[1,-3,-6,2,4,5]=>[5,4,2,-6,-3,1]
[1,-3,2,6,4,5]=>[5,4,6,2,-3,1]
[3,1,2,4,-6,5]=>[5,-6,4,2,1,3]
[1,-3,2,4,-6,5]=>[5,-6,4,2,-3,1]
[1,4,-3,2,-6,5]=>[5,-6,2,-3,4,1]
[1,4,-3,6,2,5]=>[5,2,6,-3,4,1]
[1,-3,2,4,5,6]=>[6,5,4,2,-3,1]
[1,4,-3,2,5,6]=>[6,5,2,-3,4,1]
[1,4,5,-3,2,6]=>[6,2,-3,5,4,1]
[1,4,5,6,-3,2]=>[2,-3,6,5,4,1]
[-6,1,-5,2,-4,3]=>[3,-4,2,-5,1,-6]
[5,6,1,2,-4,3]=>[3,-4,2,1,6,5]
[5,-4,1,6,2,3]=>[3,2,6,1,-4,5]
[5,1,2,-4,3,6]=>[6,3,-4,2,1,5]
[1,-5,2,-4,3,6]=>[6,3,-4,2,-5,1]
[-4,1,5,2,3,6]=>[6,3,2,5,1,-4]
[5,1,2,6,-4,3]=>[3,-4,6,2,1,5]
[1,-5,2,6,-4,3]=>[3,-4,6,2,-5,1]
[1,6,-5,2,-4,3]=>[3,-4,2,-5,6,1]
[-4,1,5,6,2,3]=>[3,2,6,5,1,-4]
[1,6,2,-4,3,5]=>[5,3,-4,2,6,1]
[-6,1,2,-4,3,5]=>[5,3,-4,2,1,-6]
[-4,1,2,6,3,5]=>[5,3,6,2,1,-4]
[1,4,2,3,-6,5]=>[5,-6,3,2,4,1]
[-4,1,2,3,-6,5]=>[5,-6,3,2,1,-4]
[1,2,-4,3,-6,5]=>[5,-6,3,-4,2,1]
[1,2,-4,6,3,5]=>[5,3,6,-4,2,1]
[1,2,-4,3,5,6]=>[6,5,3,-4,2,1]
[1,2,5,-4,3,6]=>[6,3,-4,5,2,1]
[1,2,5,6,-4,3]=>[3,-4,6,5,2,1]
[1,6,2,3,-5,4]=>[4,-5,3,2,6,1]
[-6,1,2,3,-5,4]=>[4,-5,3,2,1,-6]
[1,2,-6,3,-5,4]=>[4,-5,3,-6,2,1]
[1,-5,2,6,3,4]=>[4,3,6,2,-5,1]
[1,2,3,-5,4,6]=>[6,4,-5,3,2,1]
[1,2,3,6,-5,4]=>[4,-5,6,3,2,1]
[1,2,3,4,-6,5]=>[5,-6,4,3,2,1]
[5,-1,6,2,3,4]=>[4,3,2,6,-1,5]
[1,2,3,-5,-6,4]=>[4,-6,-5,3,2,1]
[1,2,5,-4,-6,3]=>[3,-6,-4,5,2,1]
[1,2,-4,-5,3,6]=>[6,3,-5,-4,2,1]
[1,2,-4,6,-5,3]=>[3,-5,6,-4,2,1]
[1,-4,2,5,-6,3]=>[3,-6,5,2,-4,1]
[1,2,-4,-5,-6,3]=>[3,-6,-5,-4,2,1]
[1,-3,2,-5,-6,4]=>[4,-6,-5,2,-3,1]
[1,4,5,-3,-6,2]=>[2,-6,-3,5,4,1]
[1,4,-3,-5,2,6]=>[6,2,-5,-3,4,1]
[1,4,-3,6,-5,2]=>[2,-5,6,-3,4,1]
[1,-3,4,5,-6,2]=>[2,-6,5,4,-3,1]
[1,4,-3,-5,-6,2]=>[2,-6,-5,-3,4,1]
[1,-3,-4,2,5,6]=>[6,5,2,-4,-3,1]
[1,-3,-4,2,-6,5]=>[5,-6,2,-4,-3,1]
[1,-3,5,-4,2,6]=>[6,2,-4,5,-3,1]
[1,-3,5,6,-4,2]=>[2,-4,6,5,-3,1]
[1,-3,5,-4,-6,2]=>[2,-6,-4,5,-3,1]
[-3,1,4,-5,2,6]=>[6,2,-5,4,1,-3]
[-3,1,4,6,-5,2]=>[2,-5,6,4,1,-3]
[3,1,4,5,-6,2]=>[2,-6,5,4,1,3]
[-3,1,4,-5,-6,2]=>[2,-6,-5,4,1,-3]
[1,-3,-4,-5,2,6]=>[6,2,-5,-4,-3,1]
[1,-3,-4,6,-5,2]=>[2,-5,6,-4,-3,1]
[1,-3,-6,5,-4,2]=>[2,-4,5,-6,-3,1]
[-5,1,3,-4,-6,2]=>[2,-6,-4,3,1,-5]
[1,-3,-4,-5,-6,2]=>[2,-6,-5,-4,-3,1]
[-2,1,3,-5,-6,4]=>[4,-6,-5,3,1,-2]
[-2,1,5,-4,-6,3]=>[3,-6,-4,5,1,-2]
[-2,1,-4,-5,3,6]=>[6,3,-5,-4,1,-2]
[-2,1,-4,6,-5,3]=>[3,-5,6,-4,1,-2]
[-2,-4,1,5,-6,3]=>[3,-6,5,1,-4,-2]
[-2,1,-4,-5,-6,3]=>[3,-6,-5,-4,1,-2]
[3,-2,1,-5,-6,4]=>[4,-6,-5,1,-2,3]
[3,4,5,-2,-6,1]=>[1,-6,-2,5,4,3]
[3,4,-2,-5,1,6]=>[6,1,-5,-2,4,3]
[3,4,-2,6,-5,1]=>[1,-5,6,-2,4,3]
[3,-2,4,5,-6,1]=>[1,-6,5,4,-2,3]
[3,4,-2,-5,-6,1]=>[1,-6,-5,-2,4,3]
[3,-2,-4,1,5,6]=>[6,5,1,-4,-2,3]
[3,-2,-4,1,-6,5]=>[5,-6,1,-4,-2,3]
[3,-2,5,-4,1,6]=>[6,1,-4,5,-2,3]
[3,-2,5,6,-4,1]=>[1,-4,6,5,-2,3]
[3,-2,5,-4,-6,1]=>[1,-6,-4,5,-2,3]
[-2,3,4,-5,1,6]=>[6,1,-5,4,3,-2]
[-2,3,4,6,-5,1]=>[1,-5,6,4,3,-2]
[2,3,4,5,-6,1]=>[1,-6,5,4,3,2]
[-2,3,4,-5,-6,1]=>[1,-6,-5,4,3,-2]
[3,-2,-4,-5,1,6]=>[6,1,-5,-4,-2,3]
[3,-2,-4,6,-5,1]=>[1,-5,6,-4,-2,3]
[3,-2,-6,5,-4,1]=>[1,-4,5,-6,-2,3]
[-2,5,3,-4,-6,1]=>[1,-6,-4,3,5,-2]
[3,-2,-4,-5,-6,1]=>[1,-6,-5,-4,-2,3]
[-2,-3,1,4,-6,5]=>[5,-6,4,1,-3,-2]
[-2,-3,1,-5,4,6]=>[6,4,-5,1,-3,-2]
[-2,-3,1,6,-5,4]=>[4,-5,6,1,-3,-2]
[-2,-3,1,-5,-6,4]=>[4,-6,-5,1,-3,-2]
[-2,4,-3,1,-6,5]=>[5,-6,1,-3,4,-2]
[-2,4,5,-3,-6,1]=>[1,-6,-3,5,4,-2]
[-2,4,-3,-5,1,6]=>[6,1,-5,-3,4,-2]
[-2,4,-3,6,-5,1]=>[1,-5,6,-3,4,-2]
[-2,-3,4,5,-6,1]=>[1,-6,5,4,-3,-2]
[-2,4,-3,-5,-6,1]=>[1,-6,-5,-3,4,-2]
[2,3,-4,1,-6,5]=>[5,-6,1,-4,3,2]
[2,3,5,-4,-6,1]=>[1,-6,-4,5,3,2]
[5,3,4,-2,-6,1]=>[1,-6,-2,4,3,5]
[2,3,-4,-5,1,6]=>[6,1,-5,-4,3,2]
[2,3,-4,6,-5,1]=>[1,-5,6,-4,3,2]
[2,-4,3,5,-6,1]=>[1,-6,5,3,-4,2]
[4,5,3,-2,-6,1]=>[1,-6,-2,3,5,4]
[2,3,-4,-5,-6,1]=>[1,-6,-5,-4,3,2]
[-2,-3,-4,1,-6,5]=>[5,-6,1,-4,-3,-2]
[-2,-3,5,-4,-6,1]=>[1,-6,-4,5,-3,-2]
[-2,-5,4,-3,-6,1]=>[1,-6,-3,4,-5,-2]
[4,2,-3,-5,-6,1]=>[1,-6,-5,-3,2,4]
[3,2,6,1,4,-5]=>[-5,4,1,6,2,3]
[3,2,5,4,1,-6]=>[-6,1,4,5,2,3]
[4,5,2,3,1,-6]=>[-6,1,3,2,5,4]
[4,6,2,1,3,-5]=>[-5,3,1,2,6,4]
[6,1,5,4,2,-3]=>[-3,2,4,5,1,6]
[6,5,1,3,2,-4]=>[-4,2,3,1,5,6]
[6,4,3,1,2,-5]=>[-5,2,1,3,4,6]
[5,4,2,3,1,-6]=>[-6,1,3,2,4,5]
[5,3,4,2,1,-6]=>[-6,1,2,4,3,5]
[5,3,4,1,2,-6]=>[-6,2,1,4,3,5]
[5,3,2,4,1,-6]=>[-6,1,4,2,3,5]
[5,2,3,4,1,-6]=>[-6,1,4,3,2,5]
[5,2,3,1,4,-6]=>[-6,4,1,3,2,5]
[4,5,3,2,1,-6]=>[-6,1,2,3,5,4]
[4,5,3,1,2,-6]=>[-6,2,1,3,5,4]
[4,5,2,1,3,-6]=>[-6,3,1,2,5,4]
[4,3,5,2,1,-6]=>[-6,1,2,5,3,4]
[4,3,5,1,2,-6]=>[-6,2,1,5,3,4]
[4,3,2,5,1,-6]=>[-6,1,5,2,3,4]
[4,2,3,5,1,-6]=>[-6,1,5,3,2,4]
[4,2,3,1,5,-6]=>[-6,5,1,3,2,4]
[3,4,5,2,1,-6]=>[-6,1,2,5,4,3]
[3,4,5,1,2,-6]=>[-6,2,1,5,4,3]
[3,4,2,5,1,-6]=>[-6,1,5,2,4,3]
[3,4,2,1,5,-6]=>[-6,5,1,2,4,3]
[3,4,1,2,5,-6]=>[-6,5,2,1,4,3]
[3,2,4,5,1,-6]=>[-6,1,5,4,2,3]
[3,2,4,1,5,-6]=>[-6,5,1,4,2,3]
[2,3,4,5,1,-6]=>[-6,1,5,4,3,2]
[2,3,4,1,5,-6]=>[-6,5,1,4,3,2]
[2,3,1,4,5,-6]=>[-6,5,4,1,3,2]
[6,4,3,2,1,-5]=>[-5,1,2,3,4,6]
[6,4,2,3,1,-5]=>[-5,1,3,2,4,6]
[6,4,2,1,3,-5]=>[-5,3,1,2,4,6]
[6,3,4,2,1,-5]=>[-5,1,2,4,3,6]
[6,3,4,1,2,-5]=>[-5,2,1,4,3,6]
[6,3,2,4,1,-5]=>[-5,1,4,2,3,6]
[6,3,2,1,4,-5]=>[-5,4,1,2,3,6]
[6,3,1,2,4,-5]=>[-5,4,2,1,3,6]
[6,2,3,1,4,-5]=>[-5,4,1,3,2,6]
[6,2,1,3,4,-5]=>[-5,4,3,1,2,6]
[4,6,3,2,1,-5]=>[-5,1,2,3,6,4]
[4,6,3,1,2,-5]=>[-5,2,1,3,6,4]
[4,6,2,3,1,-5]=>[-5,1,3,2,6,4]
[4,3,6,2,1,-5]=>[-5,1,2,6,3,4]
[4,3,6,1,2,-5]=>[-5,2,1,6,3,4]
[4,3,2,6,1,-5]=>[-5,1,6,2,3,4]
[4,2,3,6,1,-5]=>[-5,1,6,3,2,4]
[4,2,3,1,6,-5]=>[-5,6,1,3,2,4]
[3,4,6,2,1,-5]=>[-5,1,2,6,4,3]
[3,4,6,1,2,-5]=>[-5,2,1,6,4,3]
[3,4,2,6,1,-5]=>[-5,1,6,2,4,3]
[3,4,2,1,6,-5]=>[-5,6,1,2,4,3]
[3,4,1,2,6,-5]=>[-5,6,2,1,4,3]
[3,2,4,6,1,-5]=>[-5,1,6,4,2,3]
[3,2,4,1,6,-5]=>[-5,6,1,4,2,3]
[2,3,4,6,1,-5]=>[-5,1,6,4,3,2]
[2,3,4,1,6,-5]=>[-5,6,1,4,3,2]
[2,3,1,4,6,-5]=>[-5,6,4,1,3,2]
[5,6,3,1,2,-4]=>[-4,2,1,3,6,5]
[5,6,2,3,1,-4]=>[-4,1,3,2,6,5]
[5,6,2,1,3,-4]=>[-4,3,1,2,6,5]
[5,3,6,2,1,-4]=>[-4,1,2,6,3,5]
[5,3,6,1,2,-4]=>[-4,2,1,6,3,5]
[5,3,2,6,1,-4]=>[-4,1,6,2,3,5]
[5,3,2,1,6,-4]=>[-4,6,1,2,3,5]
[5,3,1,2,6,-4]=>[-4,6,2,1,3,5]
[5,2,3,1,6,-4]=>[-4,6,1,3,2,5]
[5,2,1,3,6,-4]=>[-4,6,3,1,2,5]
[3,5,6,2,1,-4]=>[-4,1,2,6,5,3]
[3,5,6,1,2,-4]=>[-4,2,1,6,5,3]
[3,5,2,6,1,-4]=>[-4,1,6,2,5,3]
[3,5,2,1,6,-4]=>[-4,6,1,2,5,3]
[3,5,1,2,6,-4]=>[-4,6,2,1,5,3]
[3,2,5,6,1,-4]=>[-4,1,6,5,2,3]
[3,2,5,1,6,-4]=>[-4,6,1,5,2,3]
[2,3,5,6,1,-4]=>[-4,1,6,5,3,2]
[2,3,5,1,6,-4]=>[-4,6,1,5,3,2]
[2,3,1,5,6,-4]=>[-4,6,5,1,3,2]
[4,5,6,2,1,-3]=>[-3,1,2,6,5,4]
[4,5,2,1,6,-3]=>[-3,6,1,2,5,4]
[4,2,5,1,6,-3]=>[-3,6,1,5,2,4]
[4,2,1,5,6,-3]=>[-3,6,5,1,2,4]
[2,4,5,6,1,-3]=>[-3,1,6,5,4,2]
[2,4,5,1,6,-3]=>[-3,6,1,5,4,2]
[2,4,1,5,6,-3]=>[-3,6,5,1,4,2]
[-3,2,6,-5,1,4]=>[4,1,-5,6,2,-3]
[-6,2,4,-5,-3,1]=>[1,-3,-5,4,2,-6]
[-6,-5,2,3,-4,1]=>[1,-4,3,2,-5,-6]
[2,-5,6,-4,1,3]=>[3,1,-4,6,-5,2]
[6,4,-5,-3,1,2]=>[2,1,-3,-5,4,6]
[3,-5,6,-4,1,2]=>[2,1,-4,6,-5,3]
[-6,-5,-4,3,1,2]=>[2,1,3,-4,-5,-6]
[6,5,3,4,2,-1]=>[-1,2,4,3,5,6]
[6,4,5,3,2,-1]=>[-1,2,3,5,4,6]
[6,4,5,2,3,-1]=>[-1,3,2,5,4,6]
[6,4,3,5,2,-1]=>[-1,2,5,3,4,6]
[6,3,4,5,2,-1]=>[-1,2,5,4,3,6]
[6,3,4,2,5,-1]=>[-1,5,2,4,3,6]
[5,6,4,3,2,-1]=>[-1,2,3,4,6,5]
[5,6,4,2,3,-1]=>[-1,3,2,4,6,5]
[5,6,3,4,2,-1]=>[-1,2,4,3,6,5]
[5,6,3,2,4,-1]=>[-1,4,2,3,6,5]
[5,4,6,3,2,-1]=>[-1,2,3,6,4,5]
[5,4,6,2,3,-1]=>[-1,3,2,6,4,5]
[5,4,3,6,2,-1]=>[-1,2,6,3,4,5]
[5,3,4,6,2,-1]=>[-1,2,6,4,3,5]
[5,3,4,2,6,-1]=>[-1,6,2,4,3,5]
[4,5,6,3,2,-1]=>[-1,2,3,6,5,4]
[4,5,3,6,2,-1]=>[-1,2,6,3,5,4]
[4,5,3,2,6,-1]=>[-1,6,2,3,5,4]
[4,3,5,6,-1,2]=>[2,-1,6,5,3,4]
[4,3,5,6,2,-1]=>[-1,2,6,5,3,4]
[4,3,5,2,6,-1]=>[-1,6,2,5,3,4]
[4,2,5,3,-1,6]=>[6,-1,3,5,2,4]
[4,5,2,-1,3,6]=>[6,3,-1,2,5,4]
[5,6,2,-1,3,4]=>[4,3,-1,2,6,5]
[3,4,2,-1,5,6]=>[6,5,-1,2,4,3]
[4,5,2,6,-1,3]=>[3,-1,6,2,5,4]
[3,4,2,5,-1,6]=>[6,-1,5,2,4,3]
[2,5,6,-1,3,4]=>[4,3,-1,6,5,2]
[2,4,5,-1,3,6]=>[6,3,-1,5,4,2]
[2,-1,3,5,6,4]=>[4,6,5,3,-1,2]
[2,6,4,5,3,-1]=>[-1,3,5,4,6,2]
[2,-1,4,5,3,6]=>[6,3,5,4,-1,2]
[6,2,4,5,3,-1]=>[-1,3,5,4,2,6]
[6,3,5,4,2,-1]=>[-1,2,4,5,3,6]
[1,2,-6,5,3,4]=>[4,3,5,-6,2,1]
[-6,1,2,5,3,4]=>[4,3,5,2,1,-6]
[6,1,-4,2,-5,3]=>[3,-5,2,-4,1,6]
[5,1,-6,-3,2,4]=>[4,2,-3,-6,1,5]
[-6,1,4,5,2,3]=>[3,2,5,4,1,-6]
[-2,1,-6,5,3,4]=>[4,3,5,-6,1,-2]
[-6,3,1,2,-5,4]=>[4,-5,2,1,3,-6]
[-4,6,1,2,-5,3]=>[3,-5,2,1,6,-4]
[6,-3,1,-4,2,5]=>[5,2,-4,1,-3,6]
[-6,5,1,-3,2,4]=>[4,2,-3,1,5,-6]
[-6,5,-4,1,2,3]=>[3,2,1,-4,5,-6]
[-5,-3,1,6,-4,2]=>[2,-4,6,1,-3,-5]
[-6,-2,4,1,3,5]=>[5,3,1,4,-2,-6]
[-6,-2,1,5,3,4]=>[4,3,5,1,-2,-6]
[6,-2,-4,1,-5,3]=>[3,-5,1,-4,-2,6]
[4,6,-3,1,-5,2]=>[2,-5,1,-3,6,4]
[3,-2,-6,5,1,4]=>[4,1,5,-6,-2,3]
[-6,-2,4,5,1,3]=>[3,1,5,4,-2,-6]
[3,5,-4,2,-6,1]=>[1,-6,2,-4,5,3]
[3,4,-5,2,-6,1]=>[1,-6,2,-5,4,3]
[4,-6,-3,2,-5,1]=>[1,-5,2,-3,-6,4]
[3,-5,-4,2,-6,1]=>[1,-6,2,-4,-5,3]
[-5,-4,-3,2,-6,1]=>[1,-6,2,-3,-4,-5]
[-4,-3,2,6,-5,1]=>[1,-5,6,2,-3,-4]
[-5,4,2,3,-6,1]=>[1,-6,3,2,4,-5]
[4,6,2,3,-5,1]=>[1,-5,3,2,6,4]
[6,-4,2,3,-5,1]=>[1,-5,3,2,-4,6]
[-3,-5,2,4,-6,1]=>[1,-6,4,2,-5,-3]
[3,-6,2,4,-5,1]=>[1,-5,4,2,-6,3]
[3,-4,2,5,-6,1]=>[1,-6,5,2,-4,3]
[-4,-3,2,5,-6,1]=>[1,-6,5,2,-3,-4]
[-4,-3,2,-6,-5,1]=>[1,-5,-6,2,-3,-4]
[2,-5,3,4,-6,1]=>[1,-6,4,3,-5,2]
[6,2,3,4,-5,1]=>[1,-5,4,3,2,6]
[4,2,3,-6,-5,1]=>[1,-5,-6,3,2,4]
[-6,2,3,-5,-4,1]=>[1,-4,-5,3,2,-6]
[-3,2,4,5,-6,1]=>[1,-6,5,4,2,-3]
[-3,2,4,-6,-5,1]=>[1,-5,-6,4,2,-3]
[2,3,4,-6,-5,1]=>[1,-5,-6,4,3,2]
[2,3,-6,-5,-4,1]=>[1,-4,-5,-6,3,2]
[-5,-4,3,6,1,2]=>[2,1,6,3,-4,-5]
[-6,4,2,-5,1,3]=>[3,1,-5,2,4,-6]
[2,5,-4,-6,1,3]=>[3,1,-6,-4,5,2]
[-3,-6,2,-5,1,4]=>[4,1,-5,2,-6,-3]
[4,-3,2,-6,1,5]=>[5,1,-6,2,-3,4]
[-4,-3,2,-5,1,6]=>[6,1,-5,2,-3,-4]
[2,5,3,-6,1,4]=>[4,1,-6,3,5,2]
[2,-6,3,-5,1,4]=>[4,1,-5,3,-6,2]
[2,-4,3,-6,1,5]=>[5,1,-6,3,-4,2]
[4,2,3,-5,1,6]=>[6,1,-5,3,2,4]
[-5,2,3,-4,1,6]=>[6,1,-4,3,2,-5]
[3,2,4,-6,1,5]=>[5,1,-6,4,2,3]
[-3,2,4,-5,1,6]=>[6,1,-5,4,2,-3]
[-2,3,4,-6,1,5]=>[5,1,-6,4,3,-2]
[2,3,4,-5,1,6]=>[6,1,-5,4,3,2]
[2,3,-5,-4,1,6]=>[6,1,-4,-5,3,2]
[-4,-6,1,-5,2,3]=>[3,2,-5,1,-6,-4]
[-5,-4,3,1,2,6]=>[6,2,1,3,-4,-5]
[6,-5,2,1,3,4]=>[4,3,1,2,-5,6]
[5,2,-4,1,3,6]=>[6,3,1,-4,2,5]
[-3,-2,-6,1,4,5]=>[5,4,1,-6,-2,-3]
[-2,3,-5,1,4,6]=>[6,4,1,-5,3,-2]
[4,5,-6,1,2,3]=>[3,2,1,-6,5,4]
[4,5,-6,-3,1,2]=>[2,1,-3,-6,5,4]
[3,4,-5,1,2,6]=>[6,2,1,-5,4,3]
[3,4,-6,-5,1,2]=>[2,1,-5,-6,4,3]
[3,4,5,-6,1,2]=>[2,1,-6,5,4,3]
[-5,3,4,-6,1,2]=>[2,1,-6,4,3,-5]
[-4,3,5,-6,1,2]=>[2,1,-6,5,3,-4]
[-5,-4,3,-6,1,2]=>[2,1,-6,3,-4,-5]
[4,5,-6,-2,1,3]=>[3,1,-2,-6,5,4]
[4,5,-6,-3,-2,1]=>[1,-2,-3,-6,5,4]
[3,4,-5,-2,1,6]=>[6,1,-2,-5,4,3]
[3,4,-6,-5,-2,1]=>[1,-2,-5,-6,4,3]
[3,4,5,-6,-2,1]=>[1,-2,-6,5,4,3]
[-5,3,4,-6,-2,1]=>[1,-2,-6,4,3,-5]
[-4,3,5,-6,-2,1]=>[1,-2,-6,5,3,-4]
[-5,-4,3,-6,-2,1]=>[1,-2,-6,3,-4,-5]
[2,4,5,-6,-3,1]=>[1,-3,-6,5,4,2]
[2,3,-6,-4,1,5]=>[5,1,-4,-6,3,2]
[2,3,5,-6,-4,1]=>[1,-4,-6,5,3,2]
[-5,2,3,4,-6,1]=>[1,-6,4,3,2,-5]
[-4,2,3,-6,-5,1]=>[1,-5,-6,3,2,-4]
[-4,2,3,5,-6,1]=>[1,-6,5,3,2,-4]
[-5,-4,2,3,-6,1]=>[1,-6,3,2,-4,-5]
[4,-5,2,3,-6,1]=>[1,-6,3,2,-5,4]
[4,-5,-3,2,-6,1]=>[1,-6,2,-3,-5,4]
[2,-4,-3,1,-6,5]=>[5,-6,1,-3,-4,2]
[-5,2,-3,6,1,4]=>[4,1,6,-3,2,-5]
[2,-6,4,-3,-5,1]=>[1,-5,-3,4,-6,2]
[-2,1,4,-6,-5,3]=>[3,-5,-6,4,1,-2]
[4,-6,1,-3,-5,2]=>[2,-5,-3,1,-6,4]
[5,6,3,1,-4,2]=>[2,-4,1,3,6,5]
[2,-3,-5,-4,-6,1]=>[1,-6,-4,-5,-3,2]
[2,-4,-3,-5,-6,1]=>[1,-6,-5,-3,-4,2]
[4,2,-6,-3,-5,1]=>[1,-5,-3,-6,2,4]
[-5,2,-3,-4,-6,1]=>[1,-6,-4,-3,2,-5]
[5,2,-4,-3,-6,1]=>[1,-6,-3,-4,2,5]
[6,-4,2,-3,-5,1]=>[1,-5,-3,2,-4,6]
[4,3,-2,-6,-5,1]=>[1,-5,-6,-2,3,4]
[5,3,-2,-4,-6,1]=>[1,-6,-4,-2,3,5]
[6,-2,3,-4,-5,1]=>[1,-5,-4,3,-2,6]
[5,6,3,-2,-4,1]=>[1,-4,-2,3,6,5]
[-2,6,4,-3,-5,1]=>[1,-5,-3,4,6,-2]
[3,6,4,-2,-5,1]=>[1,-5,-2,4,6,3]
[2,-4,5,-3,-6,1]=>[1,-6,-3,5,-4,2]
[2,-4,-3,6,-5,1]=>[1,-5,6,-3,-4,2]
[5,3,-2,6,-4,1]=>[1,-4,6,-2,3,5]
[1,3,-4,-6,-5,2]=>[2,-5,-6,-4,3,1]
[1,3,-5,-4,-6,2]=>[2,-6,-4,-5,3,1]
[1,-6,3,-4,-5,2]=>[2,-5,-4,3,-6,1]
[1,6,3,-5,-4,2]=>[2,-4,-5,3,6,1]
[1,6,4,-3,-5,2]=>[2,-5,-3,4,6,1]
[1,3,-5,6,-4,2]=>[2,-4,6,-5,3,1]
[1,2,4,-6,-5,3]=>[3,-5,-6,4,2,1]
[2,-4,-3,-5,1,6]=>[6,1,-5,-3,-4,2]
[5,3,-2,-4,1,6]=>[6,1,-4,-2,3,5]
[1,3,-5,-4,2,6]=>[6,2,-4,-5,3,1]
[-2,-5,-3,6,1,4]=>[4,1,6,-3,-5,-2]
[-5,4,1,-3,-6,2]=>[2,-6,-3,1,4,-5]
[5,-4,3,1,-6,2]=>[2,-6,1,3,-4,5]
[-2,-3,5,1,4,6]=>[6,4,1,5,-3,-2]
[-4,-2,5,1,3,6]=>[6,3,1,5,-2,-4]
[-5,2,4,1,3,6]=>[6,3,1,4,2,-5]
[-2,-3,1,6,4,5]=>[5,4,6,1,-3,-2]
[-4,-2,1,6,3,5]=>[5,3,6,1,-2,-4]
[-4,3,1,6,2,5]=>[5,2,6,1,3,-4]
[5,-2,1,6,3,4]=>[4,3,6,1,-2,5]
[6,2,-3,5,1,4]=>[4,1,5,-3,2,6]
[6,-4,2,5,1,3]=>[3,1,5,2,-4,6]
[-4,6,3,5,1,2]=>[2,1,5,3,6,-4]
[2,-5,6,4,1,3]=>[3,1,4,6,-5,2]
[-2,-3,-4,6,1,5]=>[5,1,6,-4,-3,-2]
[-4,-5,-2,6,1,3]=>[3,1,6,-2,-5,-4]
[-6,-2,-3,5,1,4]=>[4,1,5,-3,-2,-6]
[-6,-4,-2,5,1,3]=>[3,1,5,-2,-4,-6]
[5,-6,2,4,1,3]=>[3,1,4,2,-6,5]
[2,1,5,3,6,-4]=>[-4,6,3,5,1,2]
[2,5,1,3,6,-4]=>[-4,6,3,1,5,2]
[2,5,3,1,6,-4]=>[-4,6,1,3,5,2]
[2,1,5,6,3,-4]=>[-4,3,6,5,1,2]
[2,5,1,6,3,-4]=>[-4,3,6,1,5,2]
[5,2,1,6,3,-4]=>[-4,3,6,1,2,5]
[2,5,6,1,3,-4]=>[-4,3,1,6,5,2]
[5,2,6,1,3,-4]=>[-4,3,1,6,2,5]
[2,5,3,6,1,-4]=>[-4,1,6,3,5,2]
[2,5,6,3,1,-4]=>[-4,1,3,6,5,2]
[3,1,6,4,2,-5]=>[-5,2,4,6,1,3]
[3,6,1,4,2,-5]=>[-5,2,4,1,6,3]
[6,3,1,4,2,-5]=>[-5,2,4,1,3,6]
[3,6,4,1,2,-5]=>[-5,2,1,4,6,3]
[3,2,1,6,4,-5]=>[-5,4,6,1,2,3]
[3,6,2,1,4,-5]=>[-5,4,1,2,6,3]
[3,2,6,4,1,-5]=>[-5,1,4,6,2,3]
[3,6,2,4,1,-5]=>[-5,1,4,2,6,3]
[3,6,4,2,1,-5]=>[-5,1,2,4,6,3]
[1,6,4,5,3,-2]=>[-2,3,5,4,6,1]
[1,2,4,5,3,-6]=>[-6,3,5,4,2,1]
[1,3,4,2,6,-5]=>[-5,6,2,4,3,1]
[1,3,4,2,5,-6]=>[-6,5,2,4,3,1]
[1,3,4,5,2,-6]=>[-6,2,5,4,3,1]
[1,3,5,4,2,-6]=>[-6,2,4,5,3,1]
[1,4,3,5,2,-6]=>[-6,2,5,3,4,1]
[1,5,3,4,2,-6]=>[-6,2,4,3,5,1]
[2,1,4,5,3,-6]=>[-6,3,5,4,1,2]
[2,3,1,6,5,-4]=>[-4,5,6,1,3,2]
[2,3,1,5,4,-6]=>[-6,4,5,1,3,2]
[2,3,5,4,1,-6]=>[-6,1,4,5,3,2]
[2,4,3,1,6,-5]=>[-5,6,1,3,4,2]
[2,4,3,1,5,-6]=>[-6,5,1,3,4,2]
[2,4,3,5,1,-6]=>[-6,1,5,3,4,2]
[2,5,3,4,1,-6]=>[-6,1,4,3,5,2]
[2,5,4,3,1,-6]=>[-6,1,3,4,5,2]
[5,2,4,3,1,-6]=>[-6,1,3,4,2,5]
[3,4,5,6,-2,-1]=>[-1,-2,6,5,4,3]
[3,4,5,-2,6,-1]=>[-1,6,-2,5,4,3]
[3,4,5,-2,-1,6]=>[6,-1,-2,5,4,3]
[4,5,6,-3,-2,-1]=>[-1,-2,-3,6,5,4]
[4,5,6,-3,1,-2]=>[-2,1,-3,6,5,4]
[3,4,5,1,-2,6]=>[6,-2,1,5,4,3]
[4,5,6,1,-3,-2]=>[-2,-3,1,6,5,4]
[4,5,6,2,-1,-3]=>[-3,-1,2,6,5,4]
[3,4,-2,5,6,-1]=>[-1,6,5,-2,4,3]
[3,4,-2,5,-1,6]=>[6,-1,5,-2,4,3]
[4,5,-3,6,-2,-1]=>[-1,-2,6,-3,5,4]
[4,5,-3,6,1,-2]=>[-2,1,6,-3,5,4]
[3,4,-2,-1,5,6]=>[6,5,-1,-2,4,3]
[4,5,-3,-2,6,-1]=>[-1,6,-2,-3,5,4]
[4,5,-3,-2,-1,6]=>[6,-1,-2,-3,5,4]
[5,6,-4,-3,-2,-1]=>[-1,-2,-3,-4,6,5]
[5,6,-4,-3,1,-2]=>[-2,1,-3,-4,6,5]
[4,5,-3,1,-2,6]=>[6,-2,1,-3,5,4]
[5,6,-4,1,-3,-2]=>[-2,-3,1,-4,6,5]
[5,6,-4,1,2,-3]=>[-3,2,1,-4,6,5]
[5,6,-4,2,-1,-3]=>[-3,-1,2,-4,6,5]
[3,4,1,-2,5,6]=>[6,5,-2,1,4,3]
[4,5,1,-3,6,-2]=>[-2,6,-3,1,5,4]
[4,5,1,-3,-2,6]=>[6,-2,-3,1,5,4]
[5,6,1,-4,-3,-2]=>[-2,-3,-4,1,6,5]
[5,6,1,-4,2,-3]=>[-3,2,-4,1,6,5]
[4,5,1,2,-3,6]=>[6,-3,2,1,5,4]
[5,6,1,2,-4,-3]=>[-3,-4,2,1,6,5]
[5,6,2,3,-1,-4]=>[-4,-1,3,2,6,5]
[4,5,2,-1,-3,6]=>[6,-3,-1,2,5,4]
[5,6,2,-1,-4,-3]=>[-3,-4,-1,2,6,5]
[5,6,2,-1,3,-4]=>[-4,3,-1,2,6,5]
[5,6,3,-2,-1,-4]=>[-4,-1,-2,3,6,5]
[5,6,3,1,-2,-4]=>[-4,-2,1,3,6,5]
[3,-2,4,5,6,-1]=>[-1,6,5,4,-2,3]
[3,-2,4,5,-1,6]=>[6,-1,5,4,-2,3]
[4,-3,5,6,-2,-1]=>[-1,-2,6,5,-3,4]
[4,-3,5,6,1,-2]=>[-2,1,6,5,-3,4]
[3,-2,4,-1,5,6]=>[6,5,-1,4,-2,3]
[4,-3,5,-2,6,-1]=>[-1,6,-2,5,-3,4]
[4,-3,5,-2,-1,6]=>[6,-1,-2,5,-3,4]
[5,-4,6,-3,-2,-1]=>[-1,-2,-3,6,-4,5]
[5,-4,6,-3,1,-2]=>[-2,1,-3,6,-4,5]
[4,-3,5,1,-2,6]=>[6,-2,1,5,-3,4]
[5,-4,6,1,-3,-2]=>[-2,-3,1,6,-4,5]
[5,-4,6,1,2,-3]=>[-3,2,1,6,-4,5]
[5,-4,6,2,-1,-3]=>[-3,-1,2,6,-4,5]
[3,-2,-1,4,5,6]=>[6,5,4,-1,-2,3]
[4,-3,-2,5,6,-1]=>[-1,6,5,-2,-3,4]
[4,-3,-2,5,-1,6]=>[6,-1,5,-2,-3,4]
[5,-4,-3,6,-2,-1]=>[-1,-2,6,-3,-4,5]
[5,-4,-3,6,1,-2]=>[-2,1,6,-3,-4,5]
[4,-3,-2,-1,5,6]=>[6,5,-1,-2,-3,4]
[5,-4,-3,-2,6,-1]=>[-1,6,-2,-3,-4,5]
[5,-4,-3,-2,-1,6]=>[6,-1,-2,-3,-4,5]
[6,-5,-4,-3,-2,-1]=>[-1,-2,-3,-4,-5,6]
[6,-5,-4,-3,1,-2]=>[-2,1,-3,-4,-5,6]
[5,-4,-3,1,-2,6]=>[6,-2,1,-3,-4,5]
[6,-5,-4,1,-3,-2]=>[-2,-3,1,-4,-5,6]
[6,-5,-4,1,2,-3]=>[-3,2,1,-4,-5,6]
[6,-5,-4,2,-1,-3]=>[-3,-1,2,-4,-5,6]
[4,-3,1,-2,5,6]=>[6,5,-2,1,-3,4]
[5,-4,1,-3,6,-2]=>[-2,6,-3,1,-4,5]
[5,-4,1,-3,-2,6]=>[6,-2,-3,1,-4,5]
[6,-5,1,-4,-3,-2]=>[-2,-3,-4,1,-5,6]
[6,-5,1,-4,2,-3]=>[-3,2,-4,1,-5,6]
[5,-4,1,2,-3,6]=>[6,-3,2,1,-4,5]
[6,-5,1,2,-4,-3]=>[-3,-4,2,1,-5,6]
[6,-5,1,2,3,-4]=>[-4,3,2,1,-5,6]
[6,-5,2,3,-1,-4]=>[-4,-1,3,2,-5,6]
[5,-4,2,-1,-3,6]=>[6,-3,-1,2,-4,5]
[6,-5,2,-1,-4,-3]=>[-3,-4,-1,2,-5,6]
[6,-5,2,-1,3,-4]=>[-4,3,-1,2,-5,6]
[6,-5,3,-2,-1,-4]=>[-4,-1,-2,3,-5,6]
[6,-5,3,1,-2,-4]=>[-4,-2,1,3,-5,6]
[3,1,-2,4,5,6]=>[6,5,4,-2,1,3]
[4,1,-3,5,6,-2]=>[-2,6,5,-3,1,4]
[4,1,-3,5,-2,6]=>[6,-2,5,-3,1,4]
[5,1,-4,6,-3,-2]=>[-2,-3,6,-4,1,5]
[5,1,-4,6,2,-3]=>[-3,2,6,-4,1,5]
[4,1,-3,-2,5,6]=>[6,5,-2,-3,1,4]
[5,1,-4,-3,6,-2]=>[-2,6,-3,-4,1,5]
[5,1,-4,-3,-2,6]=>[6,-2,-3,-4,1,5]
[6,1,-5,-4,-3,-2]=>[-2,-3,-4,-5,1,6]
[6,1,-5,-4,2,-3]=>[-3,2,-4,-5,1,6]
[5,1,-4,2,-3,6]=>[6,-3,2,-4,1,5]
[6,1,-5,2,-4,-3]=>[-3,-4,2,-5,1,6]
[6,1,-5,2,3,-4]=>[-4,3,2,-5,1,6]
[6,2,-5,3,-1,-4]=>[-4,-1,3,-5,2,6]
[4,1,2,-3,5,6]=>[6,5,-3,2,1,4]
[5,1,2,-4,6,-3]=>[-3,6,-4,2,1,5]
[5,1,2,-4,-3,6]=>[6,-3,-4,2,1,5]
[6,1,2,-5,-4,-3]=>[-3,-4,-5,2,1,6]
[6,1,2,-5,3,-4]=>[-4,3,-5,2,1,6]
[5,1,2,3,-4,6]=>[6,-4,3,2,1,5]
[6,1,2,3,-5,-4]=>[-4,-5,3,2,1,6]
[6,2,3,4,-1,-5]=>[-5,-1,4,3,2,6]
[5,2,3,-1,-4,6]=>[6,-4,-1,3,2,5]
[6,2,3,-1,-5,-4]=>[-4,-5,-1,3,2,6]
[6,2,3,-1,4,-5]=>[-5,4,-1,3,2,6]
[6,3,4,-2,-1,-5]=>[-5,-1,-2,4,3,6]
[6,3,4,1,-2,-5]=>[-5,-2,1,4,3,6]
[4,2,-1,-3,5,6]=>[6,5,-3,-1,2,4]
[5,2,-1,-4,6,-3]=>[-3,6,-4,-1,2,5]
[5,2,-1,-4,-3,6]=>[6,-3,-4,-1,2,5]
[6,2,-1,-5,-4,-3]=>[-3,-4,-5,-1,2,6]
[6,2,-1,-5,3,-4]=>[-4,3,-5,-1,2,6]
[5,2,-1,3,-4,6]=>[6,-4,3,-1,2,5]
[6,2,-1,3,-5,-4]=>[-4,-5,3,-1,2,6]
[6,2,-1,3,4,-5]=>[-5,4,3,-1,2,6]
[6,3,-2,4,-1,-5]=>[-5,-1,4,-2,3,6]
[5,3,-2,-1,-4,6]=>[6,-4,-1,-2,3,5]
[6,3,-2,-1,-5,-4]=>[-4,-5,-1,-2,3,6]
[6,3,-2,-1,4,-5]=>[-5,4,-1,-2,3,6]
[6,4,-3,-2,-1,-5]=>[-5,-1,-2,-3,4,6]
[6,4,-3,1,-2,-5]=>[-5,-2,1,-3,4,6]
[5,3,1,-2,-4,6]=>[6,-4,-2,1,3,5]
[6,3,1,-2,-5,-4]=>[-4,-5,-2,1,3,6]
[6,3,1,-2,4,-5]=>[-5,4,-2,1,3,6]
[6,4,1,-3,-2,-5]=>[-5,-2,-3,1,4,6]
[6,4,1,2,-3,-5]=>[-5,-3,2,1,4,6]
[6,4,2,-1,-3,-5]=>[-5,-3,-1,2,4,6]
[-6,1,2,3,5,4]=>[4,5,3,2,1,-6]
[-6,1,2,4,3,5]=>[5,3,4,2,1,-6]
[-6,1,2,4,5,3]=>[3,5,4,2,1,-6]
[-6,1,2,5,4,3]=>[3,4,5,2,1,-6]
[-6,1,3,2,4,5]=>[5,4,2,3,1,-6]
[-6,1,3,2,5,4]=>[4,5,2,3,1,-6]
[-6,1,3,4,2,5]=>[5,2,4,3,1,-6]
[-6,1,3,4,5,2]=>[2,5,4,3,1,-6]
[-6,1,3,5,4,2]=>[2,4,5,3,1,-6]
[-6,1,4,3,2,5]=>[5,2,3,4,1,-6]
[-6,1,4,3,5,2]=>[2,5,3,4,1,-6]
[-6,1,4,5,3,2]=>[2,3,5,4,1,-6]
[-6,1,5,4,3,2]=>[2,3,4,5,1,-6]
[-6,2,1,3,5,4]=>[4,5,3,1,2,-6]
[-6,2,1,4,3,5]=>[5,3,4,1,2,-6]
[-6,2,1,4,5,3]=>[3,5,4,1,2,-6]
[-6,2,1,5,4,3]=>[3,4,5,1,2,-6]
[-6,2,3,1,5,4]=>[4,5,1,3,2,-6]
[-6,2,3,4,1,5]=>[5,1,4,3,2,-6]
[-6,2,3,4,5,1]=>[1,5,4,3,2,-6]
[-6,2,3,5,4,1]=>[1,4,5,3,2,-6]
[-6,2,4,3,1,5]=>[5,1,3,4,2,-6]
[-6,2,4,3,5,1]=>[1,5,3,4,2,-6]
[-6,2,4,5,3,1]=>[1,3,5,4,2,-6]
[-6,2,5,4,3,1]=>[1,3,4,5,2,-6]
[-6,3,2,1,4,5]=>[5,4,1,2,3,-6]
[-6,3,2,1,5,4]=>[4,5,1,2,3,-6]
[-6,3,2,4,1,5]=>[5,1,4,2,3,-6]
[-6,3,2,4,5,1]=>[1,5,4,2,3,-6]
[-6,3,2,5,4,1]=>[1,4,5,2,3,-6]
[-6,3,4,2,1,5]=>[5,1,2,4,3,-6]
[-6,3,4,2,5,1]=>[1,5,2,4,3,-6]
[-6,3,4,5,2,1]=>[1,2,5,4,3,-6]
[-6,3,5,4,2,1]=>[1,2,4,5,3,-6]
[-6,4,3,2,1,5]=>[5,1,2,3,4,-6]
[-6,4,3,2,5,1]=>[1,5,2,3,4,-6]
[-6,4,3,5,2,1]=>[1,2,5,3,4,-6]
[-6,4,5,3,2,1]=>[1,2,3,5,4,-6]
[-6,5,4,3,2,1]=>[1,2,3,4,5,-6]
[1,-6,2,3,5,4]=>[4,5,3,2,-6,1]
[1,-6,2,4,3,5]=>[5,3,4,2,-6,1]
[1,-6,2,4,5,3]=>[3,5,4,2,-6,1]
[1,-6,2,5,4,3]=>[3,4,5,2,-6,1]
[1,-6,3,2,4,5]=>[5,4,2,3,-6,1]
[1,-6,3,2,5,4]=>[4,5,2,3,-6,1]
[1,-6,3,4,2,5]=>[5,2,4,3,-6,1]
[1,-6,3,4,5,2]=>[2,5,4,3,-6,1]
[1,-6,3,5,4,2]=>[2,4,5,3,-6,1]
[1,-6,4,3,2,5]=>[5,2,3,4,-6,1]
[1,-6,4,3,5,2]=>[2,5,3,4,-6,1]
[1,-6,4,5,3,2]=>[2,3,5,4,-6,1]
[1,-6,5,4,3,2]=>[2,3,4,5,-6,1]
[1,2,-6,3,5,4]=>[4,5,3,-6,2,1]
[1,2,-6,4,3,5]=>[5,3,4,-6,2,1]
[1,2,-6,4,5,3]=>[3,5,4,-6,2,1]
[1,2,-6,5,4,3]=>[3,4,5,-6,2,1]
[1,2,3,-6,4,5]=>[5,4,-6,3,2,1]
[1,2,3,-6,5,4]=>[4,5,-6,3,2,1]
[1,2,4,3,-6,5]=>[5,-6,3,4,2,1]
[1,3,2,-6,4,5]=>[5,4,-6,2,3,1]
[1,3,2,-6,5,4]=>[4,5,-6,2,3,1]
[1,3,2,4,-6,5]=>[5,-6,4,2,3,1]
[1,3,4,2,-6,5]=>[5,-6,2,4,3,1]
[1,4,3,2,-6,5]=>[5,-6,2,3,4,1]
[1,4,5,3,2,-6]=>[-6,2,3,5,4,1]
[2,1,-6,3,4,5]=>[5,4,3,-6,1,2]
[2,1,-6,3,5,4]=>[4,5,3,-6,1,2]
[2,1,-6,4,3,5]=>[5,3,4,-6,1,2]
[2,1,-6,4,5,3]=>[3,5,4,-6,1,2]
[2,1,-6,5,4,3]=>[3,4,5,-6,1,2]
[2,1,3,-6,4,5]=>[5,4,-6,3,1,2]
[2,1,3,-6,5,4]=>[4,5,-6,3,1,2]
[2,1,3,4,-6,5]=>[5,-6,4,3,1,2]
[2,1,4,3,-6,5]=>[5,-6,3,4,1,2]
[2,3,1,-6,4,5]=>[5,4,-6,1,3,2]
[2,3,1,-6,5,4]=>[4,5,-6,1,3,2]
[2,3,1,4,-6,5]=>[5,-6,4,1,3,2]
[2,3,4,1,-6,5]=>[5,-6,1,4,3,2]
[2,4,5,3,1,-6]=>[-6,1,3,5,4,2]
[3,2,1,-6,4,5]=>[5,4,-6,1,2,3]
[3,2,1,-6,5,4]=>[4,5,-6,1,2,3]
[3,2,1,4,-6,5]=>[5,-6,4,1,2,3]
[3,2,4,1,-6,5]=>[5,-6,1,4,2,3]
[3,4,2,1,-6,5]=>[5,-6,1,2,4,3]
[3,5,4,2,1,-6]=>[-6,1,2,4,5,3]
[4,3,2,1,-6,5]=>[5,-6,1,2,3,4]
[4,2,5,1,-6,3]=>[3,-6,1,5,2,4]
[4,2,1,3,-6,5]=>[5,-6,3,1,2,4]
[4,1,5,3,-6,2]=>[2,-6,3,5,1,4]
[4,1,5,-6,2,3]=>[3,2,-6,5,1,4]
[3,5,1,-6,2,4]=>[4,2,-6,1,5,3]
[3,2,-6,4,5,1]=>[1,5,4,-6,2,3]
[3,1,4,-6,2,5]=>[5,2,-6,4,1,3]
[3,1,-6,4,2,5]=>[5,2,4,-6,1,3]
[2,5,1,-6,3,4]=>[4,3,-6,1,5,2]
[1,5,4,-6,2,3]=>[3,2,-6,4,5,1]
[-6,5,3,4,2,1]=>[1,2,4,3,5,-6]
[-6,5,3,2,4,1]=>[1,4,2,3,5,-6]
[-6,5,2,3,4,1]=>[1,4,3,2,5,-6]
[-6,4,2,3,5,1]=>[1,5,3,2,4,-6]
[-6,3,4,5,1,2]=>[2,1,5,4,3,-6]
[-6,4,2,3,1,5]=>[5,1,3,2,4,-6]
[-6,5,4,1,2,3]=>[3,2,1,4,5,-6]
[-6,4,5,1,2,3]=>[3,2,1,5,4,-6]
[-6,5,1,2,3,4]=>[4,3,2,1,5,-6]
[1,3,4,-2,5,6]=>[6,5,-2,4,3,1]
[2,4,5,-3,-1,6]=>[6,-1,-3,5,4,2]
[3,5,6,-4,-2,-1]=>[-1,-2,-4,6,5,3]
[4,-1,-3,5,-2,6]=>[6,-2,5,-3,-1,4]
[4,-3,5,-1,-2,6]=>[6,-2,-1,5,-3,4]
[5,-1,-2,-3,-4,6]=>[6,-4,-3,-2,-1,5]
[-5,-6,1,2,3,4]=>[4,3,2,1,-6,-5]
[-4,-6,1,2,3,5]=>[5,3,2,1,-6,-4]
[1,5,-6,2,3,4]=>[4,3,2,-6,5,1]
[-4,-5,1,2,3,6]=>[6,3,2,1,-5,-4]
[1,4,-6,2,3,5]=>[5,3,2,-6,4,1]
[-4,5,-6,1,2,3]=>[3,2,1,-6,5,-4]
[5,4,-6,1,2,3]=>[3,2,1,-6,4,5]
[-3,-5,1,2,4,6]=>[6,4,2,1,-5,-3]
[1,3,-6,2,4,5]=>[5,4,2,-6,3,1]
[-3,5,-6,1,2,4]=>[4,2,1,-6,5,-3]
[-3,4,-6,1,2,5]=>[5,2,1,-6,4,-3]
[4,3,-6,1,2,5]=>[5,2,1,-6,3,4]
[5,3,4,-6,1,2]=>[2,1,-6,4,3,5]
[2,5,-6,1,3,4]=>[4,3,1,-6,5,2]
[2,4,-6,1,3,5]=>[5,3,1,-6,4,2]
[-5,-6,-3,1,2,4]=>[4,2,1,-3,-6,-5]
[-5,1,-6,2,3,4]=>[4,3,2,-6,1,-5]
[1,4,-5,2,3,6]=>[6,3,2,-5,4,1]
[-4,1,-6,2,3,5]=>[5,3,2,-6,1,-4]
[1,4,5,-6,2,3]=>[3,2,-6,5,4,1]
[-5,1,4,-6,2,3]=>[3,2,-6,4,1,-5]
[-3,-4,1,2,5,6]=>[6,5,2,1,-4,-3]
[-3,-6,-4,1,2,5]=>[5,2,1,-4,-6,-3]
[1,3,-5,2,4,6]=>[6,4,2,-5,3,1]
[-3,1,-6,2,4,5]=>[5,4,2,-6,1,-3]
[1,3,5,-6,2,4]=>[4,2,-6,5,3,1]
[-3,4,-5,1,2,6]=>[6,2,1,-5,4,-3]
[1,3,4,-6,2,5]=>[5,2,-6,4,3,1]
[-3,4,5,-6,1,2]=>[2,1,-6,5,4,-3]
[-5,-3,4,-6,1,2]=>[2,1,-6,4,-3,-5]
[4,3,-5,1,2,6]=>[6,2,1,-5,3,4]
[-4,1,3,-6,2,5]=>[5,2,-6,3,1,-4]
[4,3,5,-6,1,2]=>[2,1,-6,5,3,4]
[3,-5,4,-6,1,2]=>[2,1,-6,4,-5,3]
[-4,-5,3,-6,1,2]=>[2,1,-6,3,-5,-4]
[2,6,-3,1,4,5]=>[5,4,1,-3,6,2]
[-2,-6,-4,1,3,5]=>[5,3,1,-4,-6,-2]
[-5,-2,-6,1,3,4]=>[4,3,1,-6,-2,-5]
[-2,4,-5,1,3,6]=>[6,3,1,-5,4,-2]
[-4,-2,-6,1,3,5]=>[5,3,1,-6,-2,-4]
[-2,4,5,-6,1,3]=>[3,1,-6,5,4,-2]
[-5,-2,4,-6,1,3]=>[3,1,-6,4,-2,-5]
[-2,3,5,-6,1,4]=>[4,1,-6,5,3,-2]
[-4,-2,3,-6,1,5]=>[5,1,-6,3,-2,-4]
[5,2,3,4,-6,1]=>[1,-6,4,3,2,5]
[3,2,5,-6,1,4]=>[4,1,-6,5,2,3]
[-4,3,-6,5,1,2]=>[2,1,5,-6,3,-4]
[-2,6,-5,1,-4,3]=>[3,-4,1,-5,6,-2]
[-2,-6,5,1,-4,3]=>[3,-4,1,5,-6,-2]
[-4,-6,2,1,-5,3]=>[3,-5,1,2,-6,-4]
[-2,-3,-6,1,4,5]=>[5,4,1,-6,-3,-2]
[3,4,5,-1,6,2]=>[2,6,-1,5,4,3]
[2,3,5,-1,6,4]=>[4,6,-1,5,3,2]
[4,6,5,3,2,-1]=>[-1,2,3,5,6,4]
[3,6,5,4,2,-1]=>[-1,2,4,5,6,3]
[3,5,6,4,2,-1]=>[-1,2,4,6,5,3]
[4,3,6,5,2,-1]=>[-1,2,5,6,3,4]
[3,4,6,5,2,-1]=>[-1,2,5,6,4,3]
[3,5,4,6,2,-1]=>[-1,2,6,4,5,3]
[2,5,6,4,3,-1]=>[-1,3,4,6,5,2]
[2,4,6,5,3,-1]=>[-1,3,5,6,4,2]
[2,5,4,6,3,-1]=>[-1,3,6,4,5,2]
[3,5,4,2,6,-1]=>[-1,6,2,4,5,3]
[-2,-5,1,-4,3,6]=>[6,3,-4,1,-5,-2]
[-2,3,-5,-4,1,6]=>[6,1,-4,-5,3,-2]
[-2,-5,1,6,-4,3]=>[3,-4,6,1,-5,-2]
[2,-6,-5,1,-4,3]=>[3,-4,1,-5,-6,2]
[-4,-2,5,6,1,3]=>[3,1,6,5,-2,-4]
[-5,-4,2,6,1,3]=>[3,1,6,2,-4,-5]
[-2,3,-5,6,-4,1]=>[1,-4,6,-5,3,-2]
[-2,6,3,-5,-4,1]=>[1,-4,-5,3,6,-2]
[2,-6,3,-5,-4,1]=>[1,-4,-5,3,-6,2]
[-4,-3,1,-6,-5,2]=>[2,-5,-6,1,-3,-4]
[-6,-5,4,1,-3,2]=>[2,-3,1,4,-5,-6]
[-3,-6,4,1,-5,2]=>[2,-5,1,4,-6,-3]
[-6,3,-5,4,1,2]=>[2,1,4,-5,3,-6]
[-2,-3,-6,1,-5,4]=>[4,-5,1,-6,-3,-2]
[6,2,-5,-3,1,4]=>[4,1,-3,-5,2,6]
[-2,-3,4,-6,-5,1]=>[1,-5,-6,4,-3,-2]
[-4,2,-3,-6,-5,1]=>[1,-5,-6,-3,2,-4]
[3,1,-4,-5,-6,2]=>[2,-6,-5,-4,1,3]
[6,5,4,3,1,-2]=>[-2,1,3,4,5,6]
[4,2,1,6,3,-5]=>[-5,3,6,1,2,4]
[6,5,4,2,1,-3]=>[-3,1,2,4,5,6]
[6,3,2,1,5,-4]=>[-4,5,1,2,3,6]
[6,5,3,2,1,-4]=>[-4,1,2,3,5,6]
[5,4,3,-6,2,1]=>[1,2,-6,3,4,5]
[4,-5,2,-6,1,3]=>[3,1,-6,2,-5,4]
[5,-6,4,-3,1,2]=>[2,1,-3,4,-6,5]
[4,-5,-6,1,2,3]=>[3,2,1,-6,-5,4]
[3,-5,2,-6,1,4]=>[4,1,-6,2,-5,3]
[5,-6,3,-4,1,2]=>[2,1,-4,3,-6,5]
[-5,2,3,-6,1,4]=>[4,1,-6,3,2,-5]
[3,-6,5,-4,1,2]=>[2,1,-4,5,-6,3]
[5,1,-6,-4,2,3]=>[3,2,-4,-6,1,5]
[3,-4,2,-6,1,5]=>[5,1,-6,2,-4,3]
[4,-6,3,-5,1,2]=>[2,1,-5,3,-6,4]
[4,-6,2,-5,1,3]=>[3,1,-5,2,-6,4]
[-6,-4,-3,-5,1,2]=>[2,1,-5,-3,-4,-6]
[6,-4,-5,1,2,3]=>[3,2,1,-5,-4,6]
[3,-6,2,-5,1,4]=>[4,1,-5,2,-6,3]
[-6,2,5,-4,1,3]=>[3,1,-4,5,2,-6]
[-6,4,5,-3,1,2]=>[2,1,-3,5,4,-6]
[3,5,-6,1,2,4]=>[4,2,1,-6,5,3]
[-6,2,4,-3,1,5]=>[5,1,-3,4,2,-6]
[6,-4,3,-5,1,2]=>[2,1,-5,3,-4,6]
[-3,4,6,-5,1,2]=>[2,1,-5,6,4,-3]
[1,4,6,-5,2,3]=>[3,2,-5,6,4,1]
[-2,3,6,-5,1,4]=>[4,1,-5,6,3,-2]
[-5,-6,-4,1,2,3]=>[3,2,1,-4,-6,-5]
[3,6,-4,-2,1,5]=>[5,1,-2,-4,6,3]
[3,-4,6,-5,1,2]=>[2,1,-5,6,-4,3]
[1,3,-6,-5,2,4]=>[4,2,-5,-6,3,1]
[-5,4,6,1,2,3]=>[3,2,1,6,4,-5]
[-5,4,1,2,3,6]=>[6,3,2,1,4,-5]
[1,4,6,5,3,-2]=>[-2,3,5,6,4,1]
[1,5,4,6,3,-2]=>[-2,3,6,4,5,1]
[1,5,6,4,3,-2]=>[-2,3,4,6,5,1]
[3,1,6,5,4,-2]=>[-2,4,5,6,1,3]
[2,1,5,6,4,-3]=>[-3,4,6,5,1,2]
[4,3,1,5,6,-2]=>[-2,6,5,1,3,4]
[4,3,1,6,5,-2]=>[-2,5,6,1,3,4]
[2,4,1,6,5,-3]=>[-3,5,6,1,4,2]
[4,2,1,6,5,-3]=>[-3,5,6,1,2,4]
[3,5,4,1,6,-2]=>[-2,6,1,4,5,3]
[4,3,5,1,6,-2]=>[-2,6,1,5,3,4]
[4,5,3,1,6,-2]=>[-2,6,1,3,5,4]
[5,4,3,1,6,-2]=>[-2,6,1,3,4,5]
[2,5,4,1,6,-3]=>[-3,6,1,4,5,2]
[5,4,2,1,6,-3]=>[-3,6,1,2,4,5]
[3,4,6,5,1,-2]=>[-2,1,5,6,4,3]
[3,5,4,6,1,-2]=>[-2,1,6,4,5,3]
[3,6,5,4,1,-2]=>[-2,1,4,5,6,3]
[4,3,5,6,1,-2]=>[-2,1,6,5,3,4]
[4,3,6,5,1,-2]=>[-2,1,5,6,3,4]
[5,4,3,6,1,-2]=>[-2,1,6,3,4,5]
[4,6,5,3,1,-2]=>[-2,1,3,5,6,4]
[5,4,6,3,1,-2]=>[-2,1,3,6,4,5]
[5,6,4,3,1,-2]=>[-2,1,3,4,6,5]
[2,4,6,5,1,-3]=>[-3,1,5,6,4,2]
[2,5,4,6,1,-3]=>[-3,1,6,4,5,2]
[2,5,6,4,1,-3]=>[-3,1,4,6,5,2]
[2,6,5,4,1,-3]=>[-3,1,4,5,6,2]
[4,2,6,5,1,-3]=>[-3,1,5,6,2,4]
[3,2,6,5,1,-4]=>[-4,1,5,6,2,3]
[5,4,2,6,1,-3]=>[-3,1,6,2,4,5]
[4,6,5,2,1,-3]=>[-3,1,2,5,6,4]
[5,4,6,2,1,-3]=>[-3,1,2,6,4,5]
[5,6,4,2,1,-3]=>[-3,1,2,4,6,5]
[3,6,5,2,1,-4]=>[-4,1,2,5,6,3]
[1,-6,3,5,2,4]=>[4,2,5,3,-6,1]
[1,3,-6,4,2,5]=>[5,2,4,-6,3,1]
[1,3,4,5,-6,2]=>[2,-6,5,4,3,1]
[1,-6,4,2,5,3]=>[3,5,2,4,-6,1]
[1,-6,4,5,2,3]=>[3,2,5,4,-6,1]
[1,-6,4,2,3,5]=>[5,3,2,4,-6,1]
[1,2,4,-6,3,5]=>[5,3,-6,4,2,1]
[1,2,4,5,-6,3]=>[3,-6,5,4,2,1]
[1,-6,2,5,3,4]=>[4,3,5,2,-6,1]
[1,2,5,-6,3,4]=>[4,3,-6,5,2,1]
[1,2,3,5,-6,4]=>[4,-6,5,3,2,1]
[2,-6,3,1,5,4]=>[4,5,1,3,-6,2]
[2,-6,3,5,1,4]=>[4,1,5,3,-6,2]
[2,3,-6,5,1,4]=>[4,1,5,-6,3,2]
[2,3,5,-6,1,4]=>[4,1,-6,5,3,2]
[2,-6,3,1,4,5]=>[5,4,1,3,-6,2]
[2,-6,3,4,1,5]=>[5,1,4,3,-6,2]
[2,3,4,-6,1,5]=>[5,1,-6,4,3,2]
[2,-6,3,4,5,1]=>[1,5,4,3,-6,2]
[2,3,-6,4,5,1]=>[1,5,4,-6,3,2]
[2,-6,4,1,5,3]=>[3,5,1,4,-6,2]
[2,4,-6,1,5,3]=>[3,5,1,-6,4,2]
[2,-6,4,5,1,3]=>[3,1,5,4,-6,2]
[2,4,5,-6,1,3]=>[3,1,-6,5,4,2]
[2,-6,4,1,3,5]=>[5,3,1,4,-6,2]
[2,-6,1,4,3,5]=>[5,3,4,1,-6,2]
[-6,2,4,1,3,5]=>[5,3,1,4,2,-6]
[2,-6,1,4,5,3]=>[3,5,4,1,-6,2]
[-6,2,4,1,5,3]=>[3,5,1,4,2,-6]
[-6,2,4,5,1,3]=>[3,1,5,4,2,-6]
[2,-6,5,1,3,4]=>[4,3,1,5,-6,2]
[2,-6,1,5,3,4]=>[4,3,5,1,-6,2]
[-6,2,1,5,3,4]=>[4,3,5,1,2,-6]
[-6,2,5,1,3,4]=>[4,3,1,5,2,-6]
[2,-6,1,3,5,4]=>[4,5,3,1,-6,2]
[-6,2,3,5,1,4]=>[4,1,5,3,2,-6]
[3,-6,4,1,5,2]=>[2,5,1,4,-6,3]
[3,4,-6,1,5,2]=>[2,5,1,-6,4,3]
[3,4,-6,5,1,2]=>[2,1,5,-6,4,3]
[3,4,-6,1,2,5]=>[5,2,1,-6,4,3]
[3,-6,1,4,2,5]=>[5,2,4,1,-6,3]
[-6,3,1,4,2,5]=>[5,2,4,1,3,-6]
[3,-6,1,4,5,2]=>[2,5,4,1,-6,3]
[-6,3,1,4,5,2]=>[2,5,4,1,3,-6]
[-6,3,4,1,5,2]=>[2,5,1,4,3,-6]
[3,-6,1,5,2,4]=>[4,2,5,1,-6,3]
[-6,3,1,5,2,4]=>[4,2,5,1,3,-6]
[3,-6,1,2,5,4]=>[4,5,2,1,-6,3]
[-6,3,1,2,5,4]=>[4,5,2,1,3,-6]
[-6,1,3,5,2,4]=>[4,2,5,3,1,-6]
[4,-6,1,5,2,3]=>[3,2,5,1,-6,4]
[-6,4,1,5,2,3]=>[3,2,5,1,4,-6]
[4,-6,1,2,5,3]=>[3,5,2,1,-6,4]
[-6,4,1,2,5,3]=>[3,5,2,1,4,-6]
[-6,1,4,2,5,3]=>[3,5,2,4,1,-6]
[6,2,4,1,3,-5]=>[-5,3,1,4,2,6]
[6,3,5,1,2,-4]=>[-4,2,1,5,3,6]
[6,2,5,1,3,-4]=>[-4,3,1,5,2,6]
[6,2,5,1,4,-3]=>[-3,4,1,5,2,6]
[5,2,4,1,3,-6]=>[-6,3,1,4,2,5]
[4,2,5,1,3,-6]=>[-6,3,1,5,2,4]
[3,2,5,1,4,-6]=>[-6,4,1,5,2,3]
[4,2,6,1,3,-5]=>[-5,3,1,6,2,4]
[3,2,6,1,5,-4]=>[-4,5,1,6,2,3]
[2,6,4,1,3,-5]=>[-5,3,1,4,6,2]
[3,6,5,1,2,-4]=>[-4,2,1,5,6,3]
[2,6,5,1,3,-4]=>[-4,3,1,5,6,2]
[2,6,5,1,4,-3]=>[-3,4,1,5,6,2]
[3,5,4,1,2,-6]=>[-6,2,1,4,5,3]
[2,5,4,1,3,-6]=>[-6,3,1,4,5,2]
[3,5,2,1,4,-6]=>[-6,4,1,2,5,3]
[3,6,2,1,5,-4]=>[-4,5,1,2,6,3]
[6,5,4,1,2,-3]=>[-3,2,1,4,5,6]
[6,5,4,1,3,-2]=>[-2,3,1,4,5,6]
[6,5,3,1,2,-4]=>[-4,2,1,3,5,6]
[6,5,2,1,3,-4]=>[-4,3,1,2,5,6]
[6,5,2,1,4,-3]=>[-3,4,1,2,5,6]
[6,2,1,4,3,-5]=>[-5,3,4,1,2,6]
[6,3,1,5,2,-4]=>[-4,2,5,1,3,6]
[6,2,1,5,3,-4]=>[-4,3,5,1,2,6]
[6,2,1,5,4,-3]=>[-3,4,5,1,2,6]
[5,3,1,4,2,-6]=>[-6,2,4,1,3,5]
[4,3,1,5,2,-6]=>[-6,2,5,1,3,4]
[4,2,1,5,3,-6]=>[-6,3,5,1,2,4]
[4,3,1,6,2,-5]=>[-5,2,6,1,3,4]
[2,6,1,4,3,-5]=>[-5,3,4,1,6,2]
[3,6,1,5,2,-4]=>[-4,2,5,1,6,3]
[2,6,1,5,3,-4]=>[-4,3,5,1,6,2]
[2,6,1,5,4,-3]=>[-3,4,5,1,6,2]
[3,5,1,4,2,-6]=>[-6,2,4,1,5,3]
[2,5,1,4,3,-6]=>[-6,3,4,1,5,2]
[4,5,1,3,2,-6]=>[-6,2,3,1,5,4]
[3,5,2,4,1,-6]=>[-6,1,4,2,5,3]
[4,6,1,3,2,-5]=>[-5,2,3,1,6,4]
[3,6,2,5,1,-4]=>[-4,1,5,2,6,3]
[6,5,1,4,2,-3]=>[-3,2,4,1,5,6]
[6,5,1,4,3,-2]=>[-2,3,4,1,5,6]
[6,5,2,3,1,-4]=>[-4,1,3,2,5,6]
[6,5,2,4,1,-3]=>[-3,1,4,2,5,6]
[6,4,1,3,2,-5]=>[-5,2,3,1,4,6]
[6,3,2,5,1,-4]=>[-4,1,5,2,3,6]
[2,1,6,4,3,-5]=>[-5,3,4,6,1,2]
[3,1,6,5,2,-4]=>[-4,2,5,6,1,3]
[2,1,6,5,3,-4]=>[-4,3,5,6,1,2]
[3,1,5,4,2,-6]=>[-6,2,4,5,1,3]
[4,1,5,3,2,-6]=>[-6,2,3,5,1,4]
[4,2,5,3,1,-6]=>[-6,1,3,5,2,4]
[4,1,6,3,2,-5]=>[-5,2,3,6,1,4]
[4,2,6,3,1,-5]=>[-5,1,3,6,2,4]
[6,1,5,4,3,-2]=>[-2,3,4,5,1,6]
[6,1,5,3,2,-4]=>[-4,2,3,5,1,6]
[6,2,5,3,1,-4]=>[-4,1,3,5,2,6]
[6,2,5,4,1,-3]=>[-3,1,4,5,2,6]
[6,1,4,3,2,-5]=>[-5,2,3,4,1,6]
[6,2,4,3,1,-5]=>[-5,1,3,4,2,6]
[6,3,5,2,1,-4]=>[-4,1,2,5,3,6]
[1,6,5,4,2,-3]=>[-3,2,4,5,6,1]
[1,6,5,3,2,-4]=>[-4,2,3,5,6,1]
[2,6,5,3,1,-4]=>[-4,1,3,5,6,2]
[1,6,4,3,2,-5]=>[-5,2,3,4,6,1]
[2,6,4,3,1,-5]=>[-5,1,3,4,6,2]
[3,-1,4,2,5,6]=>[6,5,2,4,-1,3]
[3,-1,-2,4,5,6]=>[6,5,4,-2,-1,3]
[3,-2,4,5,1,6]=>[6,1,5,4,-2,3]
[3,-1,4,5,6,2]=>[2,6,5,4,-1,3]
[3,-1,5,2,6,4]=>[4,6,2,5,-1,3]
[2,-1,5,6,3,4]=>[4,3,6,5,-1,2]
[4,-1,-2,5,3,6]=>[6,3,5,-2,-1,4]
[4,-2,5,-1,3,6]=>[6,3,-1,5,-2,4]
[3,-1,-2,5,6,4]=>[4,6,5,-2,-1,3]
[3,-2,5,-1,6,4]=>[4,6,-1,5,-2,3]
[3,5,2,-1,6,4]=>[4,6,-1,2,5,3]
[4,-1,-2,-3,5,6]=>[6,5,-3,-2,-1,4]
[4,5,3,-1,-2,6]=>[6,-2,-1,3,5,4]
[4,-2,-3,5,6,-1]=>[-1,6,5,-3,-2,4]
[4,5,3,-2,6,-1]=>[-1,6,-2,3,5,4]
[4,-3,5,6,2,-1]=>[-1,2,6,5,-3,4]
[5,2,-3,6,4,1]=>[1,4,6,-3,2,5]
[5,3,6,-2,4,1]=>[1,4,-2,6,3,5]
[5,1,6,4,-2,3]=>[3,-2,4,6,1,5]
[5,-1,-2,-3,6,4]=>[4,6,-3,-2,-1,5]
[5,-1,-3,6,-2,4]=>[4,-2,6,-3,-1,5]
[5,-3,6,-1,-2,4]=>[4,-2,-1,6,-3,5]
[5,6,3,-1,-2,4]=>[4,-2,-1,3,6,5]
[5,-2,-3,6,4,-1]=>[-1,4,6,-3,-2,5]
[5,-3,6,-2,4,-1]=>[-1,4,-2,6,-3,5]
[5,6,3,-2,4,-1]=>[-1,4,-2,3,6,5]
[5,3,6,4,1,-2]=>[-2,1,4,6,3,5]
[5,-1,-2,-4,6,-3]=>[-3,6,-4,-2,-1,5]
[5,-1,-4,6,-2,-3]=>[-3,-2,6,-4,-1,5]
[5,-4,6,-1,-2,-3]=>[-3,-2,-1,6,-4,5]
[5,6,4,-1,-2,-3]=>[-3,-2,-1,4,6,5]
[6,-1,-2,-3,-4,-5]=>[-5,-4,-3,-2,-1,6]
[1,5,6,-4,-3,-2]=>[-2,-3,-4,6,5,1]
[4,5,-3,6,1,2]=>[2,1,6,-3,5,4]
[1,4,5,6,-2,-3]=>[-3,-2,6,5,4,1]
[4,5,6,-2,-3,-1]=>[-1,-3,-2,6,5,4]
[4,5,-3,-1,6,-2]=>[-2,6,-1,-3,5,4]
[5,6,-4,-3,-2,1]=>[1,-2,-3,-4,6,5]
[4,-1,5,6,-3,-2]=>[-2,-3,6,5,-1,4]
[4,1,5,-3,6,2]=>[2,6,-3,5,1,4]
[5,1,6,-4,-3,-2]=>[-2,-3,-4,6,1,5]
[4,5,-2,6,-3,-1]=>[-1,-3,6,-2,5,4]
[1,4,5,-2,6,-3]=>[-3,6,-2,5,4,1]
[2,5,6,1,-4,-3]=>[-3,-4,1,6,5,2]
[4,5,2,-1,6,3]=>[3,6,-1,2,5,4]
[5,6,-1,-4,-3,2]=>[2,-3,-4,-1,6,5]
[5,-4,1,6,-3,-2]=>[-2,-3,6,1,-4,5]
[4,1,5,6,-2,-3]=>[-3,-2,6,5,1,4]
[5,2,6,-1,-4,-3]=>[-3,-4,-1,6,2,5]
[4,5,3,6,-1,-2]=>[-2,-1,6,3,5,4]
[3,5,6,2,-1,-4]=>[-4,-1,2,6,5,3]
[5,6,-2,-1,-4,3]=>[3,-4,-1,-2,6,5]
[5,-4,-3,1,6,-2]=>[-2,6,1,-3,-4,5]
[5,-4,2,6,-1,-3]=>[-3,-1,6,2,-4,5]
[5,3,6,-2,-1,-4]=>[-4,-1,-2,6,3,5]
[2,-1,4,-3,6,-5]=>[-5,6,-3,4,-1,2]
[4,1,-3,-2,6,-5]=>[-5,6,-2,-3,1,4]
[5,2,-3,6,-1,4]=>[4,-1,6,-3,2,5]
[6,1,-4,3,-5,-2]=>[-2,-5,3,-4,1,6]
[6,3,4,-5,1,2]=>[2,1,-5,4,3,6]
[5,1,6,-3,-2,4]=>[4,-2,-3,6,1,5]
[3,5,-4,6,1,2]=>[2,1,6,-4,5,3]
[3,-1,5,6,-2,4]=>[4,-2,6,5,-1,3]
[2,-1,6,3,-5,-4]=>[-4,-5,3,6,-1,2]
[3,6,-4,1,-5,-2]=>[-2,-5,1,-4,6,3]
[4,6,3,-5,1,2]=>[2,1,-5,3,6,4]
[5,6,4,-3,1,2]=>[2,1,-3,4,6,5]
[6,2,1,-5,-4,-3]=>[-3,-4,-5,1,2,6]
[4,6,5,1,2,-3]=>[-3,2,1,5,6,4]
[4,6,1,5,3,-2]=>[-2,3,5,1,6,4]
[4,6,2,5,3,-1]=>[-1,3,5,2,6,4]
[6,1,2,4,3,-5]=>[-5,3,4,2,1,6]
[1,6,2,5,3,-4]=>[-4,3,5,2,6,1]
[5,3,6,-4,1,-2]=>[-2,1,-4,6,3,5]
[6,4,3,5,1,-2]=>[-2,1,5,3,4,6]
[-5,2,6,1,3,4]=>[4,3,1,6,2,-5]
[-5,3,4,1,2,6]=>[6,2,1,4,3,-5]
[-5,3,4,6,1,2]=>[2,1,6,4,3,-5]
[3,1,2,-6,4,5]=>[5,4,-6,2,1,3]
[3,1,2,-6,5,4]=>[4,5,-6,2,1,3]
[4,1,2,3,-6,5]=>[5,-6,3,2,1,4]
[4,1,3,2,-6,5]=>[5,-6,2,3,1,4]
[5,1,3,4,2,-6]=>[-6,2,4,3,1,5]
[4,2,3,1,-6,5]=>[5,-6,1,3,2,4]
[-3,5,2,-6,-4,1]=>[1,-4,-6,2,5,-3]
[5,-4,2,3,-6,1]=>[1,-6,3,2,-4,5]
[-4,2,3,-5,-6,1]=>[1,-6,-5,3,2,-4]
[-2,3,-4,-6,-5,1]=>[1,-5,-6,-4,3,-2]
[-2,-5,3,-6,-4,1]=>[1,-4,-6,3,-5,-2]
[-5,2,3,-6,-4,1]=>[1,-4,-6,3,2,-5]
[-2,3,-5,-4,-6,1]=>[1,-6,-4,-5,3,-2]
[-2,-6,3,-4,-5,1]=>[1,-5,-4,3,-6,-2]
[-3,5,2,4,-6,1]=>[1,-6,4,2,5,-3]
[-5,2,4,-3,-6,1]=>[1,-6,-3,4,2,-5]
[-3,2,-6,5,-4,1]=>[1,-4,5,-6,2,-3]
[5,-4,-6,3,1,2]=>[2,1,3,-6,-4,5]
[5,3,-6,4,1,2]=>[2,1,4,-6,3,5]
[3,-5,-6,4,1,2]=>[2,1,4,-6,-5,3]
[-4,-5,3,1,-6,2]=>[2,-6,1,3,-5,-4]
[4,-6,3,1,-5,2]=>[2,-5,1,3,-6,4]
[4,5,3,1,-6,2]=>[2,-6,1,3,5,4]
[-4,6,3,1,-5,2]=>[2,-5,1,3,6,-4]
[-4,3,1,-5,-6,2]=>[2,-6,-5,1,3,-4]
[4,3,1,-6,-5,2]=>[2,-5,-6,1,3,4]
[-3,1,-4,-6,-5,2]=>[2,-5,-6,-4,1,-3]
[-3,-5,1,-6,-4,2]=>[2,-4,-6,1,-5,-3]
[-5,3,1,-6,-4,2]=>[2,-4,-6,1,3,-5]
[-3,1,-5,-4,-6,2]=>[2,-6,-4,-5,1,-3]
[-3,-6,1,-4,-5,2]=>[2,-5,-4,1,-6,-3]
[-4,-5,-6,1,-3,2]=>[2,-3,1,-6,-5,-4]
[-3,5,4,1,-6,2]=>[2,-6,1,4,5,-3]
[-5,-3,4,1,-6,2]=>[2,-6,1,4,-3,-5]
[-4,-5,1,-3,-6,2]=>[2,-6,-3,1,-5,-4]
[-4,1,-3,-5,-6,2]=>[2,-6,-5,-3,1,-4]
[-5,-3,-6,1,-4,2]=>[2,-4,1,-6,-3,-5]
[-3,5,-6,1,-4,2]=>[2,-4,1,-6,5,-3]
[-6,-3,5,1,-4,2]=>[2,-4,1,5,-3,-6]
[-5,-3,1,-4,-6,2]=>[2,-6,-4,1,-3,-5]
[-6,-3,-4,1,-5,2]=>[2,-5,1,-4,-3,-6]
[-5,-4,-6,2,1,3]=>[3,1,2,-6,-4,-5]
[-5,2,-6,4,1,3]=>[3,1,4,-6,2,-5]
[-2,-5,-6,4,1,3]=>[3,1,4,-6,-5,-2]
[-6,-2,-5,4,1,3]=>[3,1,4,-5,-2,-6]
[-4,-2,-6,5,1,3]=>[3,1,5,-6,-2,-4]
[-4,-5,-2,1,-6,3]=>[3,-6,1,-2,-5,-4]
[-5,2,4,1,-6,3]=>[3,-6,1,4,2,-5]
[-2,-5,4,1,-6,3]=>[3,-6,1,4,-5,-2]
[-6,-2,4,1,-5,3]=>[3,-5,1,4,-2,-6]
[-4,-2,1,-5,-6,3]=>[3,-6,-5,1,-2,-4]
[-2,4,1,-5,-6,3]=>[3,-6,-5,1,4,-2]
[-2,-4,1,-6,-5,3]=>[3,-5,-6,1,-4,-2]
[-2,-5,-6,1,-4,3]=>[3,-4,1,-6,-5,-2]
[-5,2,-6,1,-4,3]=>[3,-4,1,-6,2,-5]
[-2,-5,1,-4,-6,3]=>[3,-6,-4,1,-5,-2]
[-2,-6,-4,1,-5,3]=>[3,-5,1,-4,-6,-2]
[-5,2,-6,-3,1,4]=>[4,1,-3,-6,2,-5]
[-2,-3,-6,5,1,4]=>[4,1,5,-6,-3,-2]
[-2,-5,-3,1,-6,4]=>[4,-6,1,-3,-5,-2]
[-5,2,-3,1,-6,4]=>[4,-6,1,-3,2,-5]
[-2,-3,5,1,-6,4]=>[4,-6,1,5,-3,-2]
[2,-6,-3,-4,1,5]=>[5,1,-4,-3,-6,2]
[6,2,-3,-4,1,5]=>[5,1,-4,-3,2,6]
[6,1,-2,-3,-5,-4]=>[-4,-5,-3,-2,1,6]
[6,2,1,-4,-3,-5]=>[-5,-3,-4,1,2,6]
[6,2,-1,-4,-5,-3]=>[-3,-5,-4,-1,2,6]
[6,3,-1,2,-4,-5]=>[-5,-4,2,-1,3,6]
[6,3,1,2,-5,-4]=>[-4,-5,2,1,3,6]
[6,3,-2,-5,-1,-4]=>[-4,-1,-5,-2,3,6]
[6,3,-2,-4,-5,-1]=>[-1,-5,-4,-2,3,6]
[6,3,-2,-5,-4,1]=>[1,-4,-5,-2,3,6]
[6,3,-5,1,2,-4]=>[-4,2,1,-5,3,6]
[6,3,-4,1,-5,2]=>[2,-5,1,-4,3,6]
[6,3,-4,-5,-1,2]=>[2,-1,-5,-4,3,6]
[6,3,-5,-4,1,2]=>[2,1,-4,-5,3,6]
[6,3,4,-1,-2,-5]=>[-5,-2,-1,4,3,6]
[6,3,4,1,-5,-2]=>[-2,-5,1,4,3,6]
[6,3,4,-1,-5,2]=>[2,-5,-1,4,3,6]
[6,-1,-5,4,-2,-3]=>[-3,-2,4,-5,-1,6]
[6,3,-1,4,-5,-2]=>[-2,-5,4,-1,3,6]
[6,-1,-2,-5,4,-3]=>[-3,4,-5,-2,-1,6]
[6,-1,-2,-3,-5,4]=>[4,-5,-3,-2,-1,6]
[6,1,-2,-5,-3,4]=>[4,-3,-5,-2,1,6]
[6,3,-2,1,4,-5]=>[-5,4,1,-2,3,6]
[6,2,-3,1,-5,4]=>[4,-5,1,-3,2,6]
[6,2,-3,-5,-1,4]=>[4,-1,-5,-3,2,6]
[6,1,3,4,2,-5]=>[-5,2,4,3,1,6]
[6,-5,3,4,1,2]=>[2,1,4,3,-5,6]
[6,2,3,-1,-5,4]=>[4,-5,-1,3,2,6]
[6,2,3,-5,1,4]=>[4,1,-5,3,2,6]
[6,1,-5,3,4,-2]=>[-2,4,3,-5,1,6]
[6,-1,-5,3,-2,4]=>[4,-2,3,-5,-1,6]
[6,-1,-2,-5,3,4]=>[4,3,-5,-2,-1,6]
[6,1,-5,-2,3,4]=>[4,3,-2,-5,1,6]
[6,-5,1,3,4,2]=>[2,4,3,1,-5,6]
[6,-5,2,3,1,4]=>[4,1,3,2,-5,6]
[6,1,2,-5,3,4]=>[4,3,-5,2,1,6]
[6,-1,-5,2,3,4]=>[4,3,2,-5,-1,6]
[5,6,4,1,-3,-2]=>[-2,-3,1,4,6,5]
[5,6,4,1,2,-3]=>[-3,2,1,4,6,5]
[5,6,4,-1,-3,2]=>[2,-3,-1,4,6,5]
[5,6,3,-2,1,4]=>[4,1,-2,3,6,5]
[5,4,6,-1,-3,-2]=>[-2,-3,-1,6,4,5]
[5,1,6,-2,4,-3]=>[-3,4,-2,6,1,5]
[5,4,6,-2,-3,1]=>[1,-3,-2,6,4,5]
[5,1,-2,-4,-3,6]=>[6,-3,-4,-2,1,5]
[5,2,-4,1,6,-3]=>[-3,6,1,-4,2,5]
[5,2,-3,1,-4,6]=>[6,-4,1,-3,2,5]
[5,2,-3,-4,-1,6]=>[6,-1,-4,-3,2,5]
[5,2,4,6,1,-3]=>[-3,1,6,4,2,5]
[5,1,4,6,-3,2]=>[2,-3,6,4,1,5]
[5,2,4,-1,6,-3]=>[-3,6,-1,4,2,5]
[5,-2,-4,3,6,-1]=>[-1,6,3,-4,-2,5]
[5,-1,-4,3,-2,6]=>[6,-2,3,-4,-1,5]
[5,-1,-2,-4,3,6]=>[6,3,-4,-2,-1,5]
[5,1,-4,-2,3,6]=>[6,3,-2,-4,1,5]
[5,-4,1,3,6,2]=>[2,6,3,1,-4,5]
[5,-4,2,3,1,6]=>[6,1,3,2,-4,5]
[5,-1,-4,2,3,6]=>[6,3,2,-4,-1,5]
[4,5,3,-2,1,6]=>[6,1,-2,3,5,4]
[4,3,5,-2,-1,6]=>[6,-1,-2,5,3,4]
[4,1,3,5,-2,6]=>[6,-2,5,3,1,4]
[4,-1,-3,2,5,6]=>[6,5,2,-3,-1,4]
[1,-5,2,3,-6,4]=>[4,-6,3,2,-5,1]
[1,2,-6,-4,3,5]=>[5,3,-4,-6,2,1]
[-4,1,2,-5,3,6]=>[6,3,-5,2,1,-4]
[1,-5,-3,2,4,6]=>[6,4,2,-3,-5,1]
[5,1,2,3,-6,4]=>[4,-6,3,2,1,5]
[5,1,-6,2,3,4]=>[4,3,2,-6,1,5]
[-4,1,2,-5,-6,3]=>[3,-6,-5,2,1,-4]
[-6,1,-3,2,4,5]=>[5,4,2,-3,1,-6]
[1,-5,-3,2,-6,4]=>[4,-6,2,-3,-5,1]
[1,-3,-6,-4,2,5]=>[5,2,-4,-6,-3,1]
[-4,-5,1,2,-6,3]=>[3,-6,2,1,-5,-4]
[1,-5,-6,-3,2,4]=>[4,2,-3,-6,-5,1]
[-4,-5,-6,1,2,3]=>[3,2,1,-6,-5,-4]
[-2,-5,1,3,-6,4]=>[4,-6,3,1,-5,-2]
[-2,1,-6,-4,3,5]=>[5,3,-4,-6,1,-2]
[3,1,2,-5,-6,4]=>[4,-6,-5,2,1,3]
[3,1,-4,2,5,6]=>[6,5,2,-4,1,3]
[3,1,-4,2,-6,5]=>[5,-6,2,-4,1,3]
[-4,-2,1,3,-6,5]=>[5,-6,3,1,-2,-4]
[-4,3,1,2,-6,5]=>[5,-6,2,1,3,-4]
[1,4,2,-5,3,6]=>[6,3,-5,2,4,1]
[1,-5,4,2,3,6]=>[6,3,2,4,-5,1]
[3,1,-4,-5,2,6]=>[6,2,-5,-4,1,3]
[-4,-2,1,-5,3,6]=>[6,3,-5,1,-2,-4]
[-4,3,1,-5,2,6]=>[6,2,-5,1,3,-4]
[1,2,5,3,-6,4]=>[4,-6,3,5,2,1]
[1,4,2,-5,-6,3]=>[3,-6,-5,2,4,1]
[3,-5,1,2,-6,4]=>[4,-6,2,1,-5,3]
[3,1,-6,-4,2,5]=>[5,2,-4,-6,1,3]
[1,-5,4,2,-6,3]=>[3,-6,2,4,-5,1]
[3,-5,-6,1,2,4]=>[4,2,1,-6,-5,3]
[1,-5,-6,4,2,3]=>[3,2,4,-6,-5,1]
[5,-2,1,3,-6,4]=>[4,-6,3,1,-2,5]
[5,-2,-6,1,3,4]=>[4,3,1,-6,-2,5]
[5,3,1,2,-6,4]=>[4,-6,2,1,3,5]
[-4,3,-6,1,2,5]=>[5,2,1,-6,3,-4]
[5,1,4,2,-6,3]=>[3,-6,2,4,1,5]
[5,3,-6,1,2,4]=>[4,2,1,-6,3,5]
[5,1,-6,4,2,3]=>[3,2,4,-6,1,5]
[6,4,-5,1,2,3]=>[3,2,1,-5,4,6]
[-6,3,4,-5,1,2]=>[2,1,-5,4,3,-6]
[-6,-5,4,1,2,3]=>[3,2,1,4,-5,-6]
[5,-6,4,1,2,3]=>[3,2,1,4,-6,5]
[-6,3,4,-5,-2,1]=>[1,-2,-5,4,3,-6]
[5,3,4,-6,-2,1]=>[1,-2,-6,4,3,5]
[-6,-5,3,4,1,2]=>[2,1,4,3,-5,-6]
[5,-6,3,4,1,2]=>[2,1,4,3,-6,5]
[6,2,4,5,-3,1]=>[1,-3,5,4,2,6]
[5,-6,1,-4,2,3]=>[3,2,-4,1,-6,5]
[5,-6,2,3,-4,1]=>[1,-4,3,2,-6,5]
[5,-6,-4,3,1,2]=>[2,1,3,-4,-6,5]
[6,1,4,-5,2,3]=>[3,2,-5,4,1,6]
[3,-6,4,-5,1,2]=>[2,1,-5,4,-6,3]
[-4,-6,3,-5,1,2]=>[2,1,-5,3,-6,-4]
[-6,4,3,-5,1,2]=>[2,1,-5,3,4,-6]
[5,-4,3,-6,1,2]=>[2,1,-6,3,-4,5]
[-5,-6,4,1,2,3]=>[3,2,1,4,-6,-5]
[-5,-6,3,4,1,2]=>[2,1,4,3,-6,-5]
[3,5,-4,-6,1,2]=>[2,1,-6,-4,5,3]
[1,-5,4,-6,2,3]=>[3,2,-6,4,-5,1]
[3,5,4,-6,1,2]=>[2,1,-6,4,5,3]
[-5,4,3,-6,1,2]=>[2,1,-6,3,4,-5]
[-4,3,-5,-6,1,2]=>[2,1,-6,-5,3,-4]
[-4,5,2,-3,-6,1]=>[1,-6,-3,2,5,-4]
[5,-2,3,4,-6,1]=>[1,-6,4,3,-2,5]
[-2,-5,3,4,-6,1]=>[1,-6,4,3,-5,-2]
[-2,6,3,4,-5,1]=>[1,-5,4,3,6,-2]
[3,6,-5,4,1,2]=>[2,1,4,-5,6,3]
[3,-5,4,6,1,2]=>[2,1,6,4,-5,3]
[1,5,3,-4,-6,2]=>[2,-6,-4,3,5,1]
[5,1,3,4,-6,2]=>[2,-6,4,3,1,5]
[1,6,3,4,-5,2]=>[2,-5,4,3,6,1]
[1,-5,3,4,-6,2]=>[2,-6,4,3,-5,1]
[-3,-5,1,4,-6,2]=>[2,-6,4,1,-5,-3]
[-6,1,3,4,-5,2]=>[2,-5,4,3,1,-6]
[3,-4,1,5,-6,2]=>[2,-6,5,1,-4,3]
[1,6,4,5,-3,2]=>[2,-3,5,4,6,1]
[1,6,-5,4,2,3]=>[3,2,4,-5,6,1]
[-6,1,-5,4,2,3]=>[3,2,4,-5,1,-6]
[-4,-5,1,6,2,3]=>[3,2,6,1,-5,-4]
[1,-6,-5,3,2,4]=>[4,2,3,-5,-6,1]
[-3,1,-6,4,2,5]=>[5,2,4,-6,1,-3]
[2,4,1,3,5,-6]=>[-6,5,3,1,4,2]
[3,1,4,5,2,-6]=>[-6,2,5,4,1,3]
[2,4,1,5,3,-6]=>[-6,3,5,1,4,2]
[2,4,5,1,3,-6]=>[-6,3,1,5,4,2]
[1,4,5,2,3,-6]=>[-6,3,2,5,4,1]
[2,3,5,1,4,-6]=>[-6,4,1,5,3,2]
[1,3,5,2,4,-6]=>[-6,4,2,5,3,1]
[3,5,1,2,4,-6]=>[-6,4,2,1,5,3]
[2,5,1,3,4,-6]=>[-6,4,3,1,5,2]
[3,2,4,5,-6,1]=>[1,-6,5,4,2,3]
[3,4,2,5,-6,1]=>[1,-6,5,2,4,3]
[2,4,3,5,-6,1]=>[1,-6,5,3,4,2]
[3,4,5,2,-6,1]=>[1,-6,2,5,4,3]
[4,3,5,2,-6,1]=>[1,-6,2,5,3,4]
[2,4,5,3,-6,1]=>[1,-6,3,5,4,2]
[2,3,5,4,-6,1]=>[1,-6,4,5,3,2]
[3,2,5,4,-6,1]=>[1,-6,4,5,2,3]
[3,5,2,4,-6,1]=>[1,-6,4,2,5,3]
[3,4,1,5,-6,2]=>[2,-6,5,1,4,3]
[1,4,3,5,-6,2]=>[2,-6,5,3,4,1]
[4,1,3,5,-6,2]=>[2,-6,5,3,1,4]
[4,5,3,-6,1,2]=>[2,1,-6,3,5,4]
[2,1,4,5,-6,3]=>[3,-6,5,4,1,2]
[2,4,5,1,-6,3]=>[3,-6,1,5,4,2]
[4,2,5,-6,1,3]=>[3,1,-6,5,2,4]
[2,3,1,5,-6,4]=>[4,-6,5,1,3,2]
[2,3,5,1,-6,4]=>[4,-6,1,5,3,2]
[1,3,5,2,-6,4]=>[4,-6,2,5,3,1]
[3,5,1,2,-6,4]=>[4,-6,2,1,5,3]
[3,5,2,-6,1,4]=>[4,1,-6,2,5,3]
[2,4,1,3,-6,5]=>[5,-6,3,1,4,2]
[3,4,2,-6,1,5]=>[5,1,-6,2,4,3]
[2,4,3,-6,1,5]=>[5,1,-6,3,4,2]
[4,2,3,-6,1,5]=>[5,1,-6,3,2,4]
[2,4,1,-6,3,5]=>[5,3,-6,1,4,2]
[3,2,-6,1,4,5]=>[5,4,1,-6,2,3]
[2,5,4,-6,1,3]=>[3,1,-6,4,5,2]
[1,-5,2,-4,-6,3]=>[3,-6,-4,2,-5,1]
[1,-6,5,2,-4,3]=>[3,-4,2,5,-6,1]
[2,1,5,4,-6,3]=>[3,-6,4,5,1,2]
[6,1,-5,2,-4,3]=>[3,-4,2,-5,1,6]
[3,2,-6,1,5,4]=>[4,5,1,-6,2,3]
[5,1,3,-6,2,4]=>[4,2,-6,3,1,5]
[5,2,3,-6,1,4]=>[4,1,-6,3,2,5]
[5,1,4,-6,2,3]=>[3,2,-6,4,1,5]
[5,2,4,-6,1,3]=>[3,1,-6,4,2,5]
[1,4,2,-6,3,5]=>[5,3,-6,2,4,1]
[1,4,3,-6,2,5]=>[5,2,-6,3,4,1]
[3,4,1,-6,2,5]=>[5,2,-6,1,4,3]
[1,5,2,-6,3,4]=>[4,3,-6,2,5,1]
[1,5,3,-6,2,4]=>[4,2,-6,3,5,1]
[4,1,5,2,-6,3]=>[3,-6,2,5,1,4]
[4,2,5,3,-6,1]=>[1,-6,3,5,2,4]
[4,3,5,1,-6,2]=>[2,-6,1,5,3,4]
[1,2,5,4,-6,3]=>[3,-6,4,5,2,1]
[1,3,5,4,-6,2]=>[2,-6,4,5,3,1]
[1,4,5,2,-6,3]=>[3,-6,2,5,4,1]
[1,4,5,3,-6,2]=>[2,-6,3,5,4,1]
[3,4,5,1,-6,2]=>[2,-6,1,5,4,3]
[-5,2,-6,1,3,4]=>[4,3,1,-6,2,-5]
[-3,-5,-6,1,2,4]=>[4,2,1,-6,-5,-3]
[-3,6,-4,1,2,5]=>[5,2,1,-4,6,-3]
[5,-3,-6,1,2,4]=>[4,2,1,-6,-3,5]
[3,-4,-5,1,2,6]=>[6,2,1,-5,-4,3]
[-3,-4,-6,1,2,5]=>[5,2,1,-6,-4,-3]
[1,-5,3,-6,2,4]=>[4,2,-6,3,-5,1]
[3,-1,4,2,6,-5]=>[-5,6,2,4,-1,3]
[2,-1,5,-3,6,4]=>[4,6,-3,5,-1,2]
[3,-1,5,-4,6,2]=>[2,6,-4,5,-1,3]
[2,-1,4,-3,5,6]=>[6,5,-3,4,-1,2]
[2,-1,5,-4,3,6]=>[6,3,-4,5,-1,2]
[4,-1,5,2,3,6]=>[6,3,2,5,-1,4]
[2,-1,6,-5,3,4]=>[4,3,-5,6,-1,2]
[3,-2,6,-5,1,4]=>[4,1,-5,6,-2,3]
[4,-3,6,-5,1,2]=>[2,1,-5,6,-3,4]
[2,-1,4,6,-5,-3]=>[-3,-5,6,4,-1,2]
[3,-1,4,6,-5,2]=>[2,-5,6,4,-1,3]
[4,-1,5,6,-3,2]=>[2,-3,6,5,-1,4]
[3,-1,4,5,-2,6]=>[6,-2,5,4,-1,3]
[2,-1,3,5,-4,6]=>[6,-4,5,3,-1,2]
[3,-2,1,5,-4,6]=>[6,-4,5,1,-2,3]
[4,-2,1,5,3,6]=>[6,3,5,1,-2,4]
[2,-1,3,6,-5,4]=>[4,-5,6,3,-1,2]
[4,-3,1,6,-5,2]=>[2,-5,6,1,-3,4]
[2,-1,4,5,6,-3]=>[-3,6,5,4,-1,2]
[4,-2,1,5,6,-3]=>[-3,6,5,1,-2,4]
[3,-2,1,5,6,4]=>[4,6,5,1,-2,3]
[2,-1,3,4,6,-5]=>[-5,6,4,3,-1,2]
[3,-2,1,4,6,-5]=>[-5,6,4,1,-2,3]
[4,-3,1,2,6,-5]=>[-5,6,2,1,-3,4]
[5,-3,1,2,6,4]=>[4,6,2,1,-3,5]
[2,4,-3,-1,6,-5]=>[-5,6,-1,-3,4,2]
[2,5,-3,-1,6,4]=>[4,6,-1,-3,5,2]
[3,5,-4,-1,6,2]=>[2,6,-1,-4,5,3]
[2,4,-3,-1,5,6]=>[6,5,-1,-3,4,2]
[2,5,-4,-1,3,6]=>[6,3,-1,-4,5,2]
[2,6,-5,-1,3,4]=>[4,3,-1,-5,6,2]
[2,4,-3,6,-5,-1]=>[-1,-5,6,-3,4,2]
[3,4,1,6,-5,2]=>[2,-5,6,1,4,3]
[2,5,-3,6,1,4]=>[4,1,6,-3,5,2]
[2,4,-3,5,1,6]=>[6,1,5,-3,4,2]
[2,3,1,5,-4,6]=>[6,-4,5,1,3,2]
[1,3,-2,5,-4,6]=>[6,-4,5,-2,3,1]
[1,4,-2,5,3,6]=>[6,3,5,-2,4,1]
[2,3,1,6,-5,4]=>[4,-5,6,1,3,2]
[1,3,-2,6,-5,4]=>[4,-5,6,-2,3,1]
[1,5,-2,6,3,4]=>[4,3,6,-2,5,1]
[1,4,-3,5,6,2]=>[2,6,5,-3,4,1]
[1,4,-2,5,6,-3]=>[-3,6,5,-2,4,1]
[1,3,-2,5,6,4]=>[4,6,5,-2,3,1]
[1,3,-2,4,6,-5]=>[-5,6,4,-2,3,1]
[1,4,-3,2,6,-5]=>[-5,6,2,-3,4,1]
[1,5,-3,2,6,4]=>[4,6,2,-3,5,1]
[1,3,-2,4,5,6]=>[6,5,4,-2,3,1]
[1,5,-4,2,3,6]=>[6,3,2,-4,5,1]
[2,4,6,-5,-3,-1]=>[-1,-3,-5,6,4,2]
[3,4,6,-5,1,2]=>[2,1,-5,6,4,3]
[3,5,6,-2,1,4]=>[4,1,-2,6,5,3]
[1,3,5,-4,-2,6]=>[6,-2,-4,5,3,1]
[2,3,6,-5,1,4]=>[4,1,-5,6,3,2]
[1,3,6,-5,-2,4]=>[4,-2,-5,6,3,1]
[1,4,6,-5,-3,2]=>[2,-3,-5,6,4,1]
[1,3,5,-4,6,2]=>[2,6,-4,5,3,1]
[2,3,5,-4,6,-1]=>[-1,6,-4,5,3,2]
[2,3,4,-1,6,-5]=>[-5,6,-1,4,3,2]
[1,2,4,-3,6,-5]=>[-5,6,-3,4,2,1]
[1,2,5,-3,6,4]=>[4,6,-3,5,2,1]
[1,2,4,-3,5,6]=>[6,5,-3,4,2,1]
[1,2,6,-5,3,4]=>[4,3,-5,6,2,1]
[2,4,5,6,-3,-1]=>[-1,-3,6,5,4,2]
[1,3,4,6,-5,2]=>[2,-5,6,4,3,1]
[2,3,4,6,-5,-1]=>[-1,-5,6,4,3,2]
[1,2,4,6,-5,-3]=>[-3,-5,6,4,2,1]
[1,3,5,6,-2,4]=>[4,-2,6,5,3,1]
[1,3,4,5,-2,6]=>[6,-2,5,4,3,1]
[1,2,3,5,-4,6]=>[6,-4,5,3,2,1]
[6,3,1,-2,-5,4]=>[4,-5,-2,1,3,6]
[6,4,1,-3,-5,2]=>[2,-5,-3,1,4,6]
[4,3,1,2,-6,5]=>[5,-6,2,1,3,4]
[5,4,1,-6,2,3]=>[3,2,-6,1,4,5]
[5,3,1,-6,2,4]=>[4,2,-6,1,3,5]
[5,1,2,-6,3,4]=>[4,3,-6,2,1,5]
[4,1,2,-6,3,5]=>[5,3,-6,2,1,4]
[5,2,-1,-4,6,3]=>[3,6,-4,-1,2,5]
[-3,2,4,-6,1,5]=>[5,1,-6,4,2,-3]
[-5,2,6,-4,1,3]=>[3,1,-4,6,2,-5]
[-3,5,6,-4,1,2]=>[2,1,-4,6,5,-3]
[2,-4,-6,1,3,5]=>[5,3,1,-6,-4,2]
[-4,-3,-6,-5,1,2]=>[2,1,-5,-6,-3,-4]
[-5,-4,-6,-3,1,2]=>[2,1,-3,-6,-4,-5]
[-2,-5,-4,1,3,6]=>[6,3,1,-4,-5,-2]
[-2,4,-6,1,3,5]=>[5,3,1,-6,4,-2]
[-5,3,6,-4,1,2]=>[2,1,-4,6,3,-5]
[-4,-6,-5,-3,1,2]=>[2,1,-3,-5,-6,-4]
[-6,1,5,3,4,2]=>[2,4,3,5,1,-6]
[-6,2,5,3,4,1]=>[1,4,3,5,2,-6]
[-6,5,2,4,3,1]=>[1,3,4,2,5,-6]
[4,5,-3,1,6,2]=>[2,6,1,-3,5,4]
[5,2,1,6,-4,3]=>[3,-4,6,1,2,5]
[5,1,6,-3,-4,-2]=>[-2,-4,-3,6,1,5]
[4,1,5,6,-3,2]=>[2,-3,6,5,1,4]
[5,6,-4,1,-2,-3]=>[-3,-2,1,-4,6,5]
[5,6,1,-4,3,2]=>[2,3,-4,1,6,5]
[5,6,4,1,-3,2]=>[2,-3,1,4,6,5]
[5,-6,1,4,2,3]=>[3,2,4,1,-6,5]
[5,-6,3,1,2,4]=>[4,2,1,3,-6,5]
[4,-6,3,1,5,2]=>[2,5,1,3,-6,4]
[2,-6,5,4,1,3]=>[3,1,4,5,-6,2]
[4,1,-6,2,5,3]=>[3,5,2,-6,1,4]
[3,1,-6,5,2,4]=>[4,2,5,-6,1,3]
[3,1,-6,4,5,2]=>[2,5,4,-6,1,3]
[2,5,-6,4,1,3]=>[3,1,4,-6,5,2]
[3,5,-6,4,1,2]=>[2,1,4,-6,5,3]
[4,1,2,-6,5,3]=>[3,5,-6,2,1,4]
[4,3,1,-6,5,2]=>[2,5,-6,1,3,4]
[3,4,2,-6,5,1]=>[1,5,-6,2,4,3]
[5,4,1,3,-6,2]=>[2,-6,3,1,4,5]
[5,2,6,1,4,-3]=>[-3,4,1,6,2,5]
[5,6,1,3,2,-4]=>[-4,2,3,1,6,5]
[3,-2,4,-6,-5,1]=>[1,-5,-6,4,-2,3]
[3,-6,1,-5,-4,2]=>[2,-4,-5,1,-6,3]
[5,-4,1,-3,-6,2]=>[2,-6,-3,1,-4,5]
[4,-2,1,-6,-5,3]=>[3,-5,-6,1,-2,4]
[5,-2,1,-4,-6,3]=>[3,-6,-4,1,-2,5]
[1,-3,4,-6,-5,2]=>[2,-5,-6,4,-3,1]
[1,-4,2,-6,-5,3]=>[3,-5,-6,2,-4,1]
[4,5,-3,1,6,-2]=>[-2,6,1,-3,5,4]
[3,4,1,5,-2,6]=>[6,-2,5,1,4,3]
[4,5,1,6,-3,-2]=>[-2,-3,6,1,5,4]
[4,5,1,6,-3,2]=>[2,-3,6,1,5,4]
[3,4,-1,5,6,-2]=>[-2,6,5,-1,4,3]
[3,4,5,-2,6,1]=>[1,6,-2,5,4,3]
[4,5,6,-3,-2,1]=>[1,-2,-3,6,5,4]
[1,4,5,6,-3,-2]=>[-2,-3,6,5,4,1]
[4,-3,5,1,6,-2]=>[-2,6,1,5,-3,4]
[3,1,4,5,-2,6]=>[6,-2,5,4,1,3]
[4,1,5,6,-3,-2]=>[-2,-3,6,5,1,4]
[3,-1,4,5,6,-2]=>[-2,6,5,4,-1,3]
[4,-3,1,5,6,-2]=>[-2,6,5,1,-3,4]
[4,-3,1,5,-2,6]=>[6,-2,5,1,-3,4]
[3,1,4,-2,5,6]=>[6,5,-2,4,1,3]
[4,1,5,-3,6,-2]=>[-2,6,-3,5,1,4]
[4,1,5,-3,-2,6]=>[6,-2,-3,5,1,4]
[4,1,5,-3,2,6]=>[6,2,-3,5,1,4]
[5,1,6,-4,-3,2]=>[2,-3,-4,6,1,5]
[5,1,6,-4,2,3]=>[3,2,-4,6,1,5]
[4,2,5,-1,6,-3]=>[-3,6,-1,5,2,4]
[4,2,5,6,-3,-1]=>[-1,-3,6,5,2,4]
[4,2,5,6,-3,1]=>[1,-3,6,5,2,4]
[3,4,-2,5,6,1]=>[1,6,5,-2,4,3]
[3,4,-2,5,1,6]=>[6,1,5,-2,4,3]
[4,5,-3,6,-2,1]=>[1,-2,6,-3,5,4]
[4,5,-3,-2,6,1]=>[1,6,-2,-3,5,4]
[4,5,-3,-2,1,6]=>[6,1,-2,-3,5,4]
[4,5,-1,6,-3,2]=>[2,-3,6,-1,5,4]
[4,5,3,6,-2,-1]=>[-1,-2,6,3,5,4]
[1,4,5,-3,6,-2]=>[-2,6,-3,5,4,1]
[1,4,5,-3,-2,6]=>[6,-2,-3,5,4,1]
[4,5,6,-3,-1,2]=>[2,-1,-3,6,5,4]
[2,4,5,-3,6,-1]=>[-1,6,-3,5,4,2]
[2,5,6,-4,-3,-1]=>[-1,-3,-4,6,5,2]
[4,5,6,-2,-1,3]=>[3,-1,-2,6,5,4]
[4,2,-6,5,1,3]=>[3,1,5,-6,2,4]
[4,2,-6,5,3,1]=>[1,3,5,-6,2,4]
[5,3,4,-6,2,1]=>[1,2,-6,4,3,5]
[-6,2,-5,-4,1,3]=>[3,1,-4,-5,2,-6]
[5,2,-6,-4,1,3]=>[3,1,-4,-6,2,5]
[2,-6,4,-5,1,3]=>[3,1,-5,4,-6,2]
[-2,-6,-5,-4,1,3]=>[3,1,-4,-5,-6,-2]
[6,2,-5,-4,1,3]=>[3,1,-4,-5,2,6]
[-6,-5,2,-4,1,3]=>[3,1,-4,2,-5,-6]
[2,3,6,-5,-4,1]=>[1,-4,-5,6,3,2]
[-5,2,3,6,-4,1]=>[1,-4,6,3,2,-5]
[-6,-3,4,-5,1,2]=>[2,1,-5,4,-3,-6]
[3,6,4,-5,1,2]=>[2,1,-5,4,6,3]
[3,2,-6,-5,1,4]=>[4,1,-5,-6,2,3]
[-3,2,4,6,-5,1]=>[1,-5,6,4,2,-3]
[-6,-3,2,4,-5,1]=>[1,-5,4,2,-3,-6]
[-6,-4,-3,2,-5,1]=>[1,-5,2,-3,-4,-6]
[1,3,4,-5,2,6]=>[6,2,-5,4,3,1]
[5,3,1,-4,2,6]=>[6,2,-4,1,3,5]
[3,-5,4,1,2,6]=>[6,2,1,4,-5,3]
[1,-6,5,3,4,2]=>[2,4,3,5,-6,1]
[3,6,4,5,2,-1]=>[-1,2,5,4,6,3]
[4,6,5,2,3,-1]=>[-1,3,2,5,6,4]
[5,6,2,4,3,-1]=>[-1,3,4,2,6,5]
[5,2,-6,4,3,1]=>[1,3,4,-6,2,5]
[6,1,4,2,3,-5]=>[-5,3,2,4,1,6]
[6,4,5,1,2,-3]=>[-3,2,1,5,4,6]
[3,6,4,5,1,-2]=>[-2,1,5,4,6,3]
[6,3,4,5,1,-2]=>[-2,1,5,4,3,6]
[6,3,5,4,1,-2]=>[-2,1,4,5,3,6]
[6,5,3,4,1,-2]=>[-2,1,4,3,5,6]
[6,4,5,3,1,-2]=>[-2,1,3,5,4,6]
[6,4,5,2,1,-3]=>[-3,1,2,5,4,6]
[6,-3,-5,1,2,4]=>[4,2,1,-5,-3,6]
[6,1,5,-3,2,4]=>[4,2,-3,5,1,6]
[4,5,6,1,-3,2]=>[2,-3,1,6,5,4]
[4,5,1,-3,2,6]=>[6,2,-3,1,5,4]
[5,6,1,-4,-3,2]=>[2,-3,-4,1,6,5]
[5,6,1,-4,2,3]=>[3,2,-4,1,6,5]
[5,6,2,-4,3,-1]=>[-1,3,-4,2,6,5]
[5,6,2,-1,-4,3]=>[3,-4,-1,2,6,5]
[5,6,3,-2,-4,-1]=>[-1,-4,-2,3,6,5]
[5,-4,6,1,-3,2]=>[2,-3,1,6,-4,5]
[6,-5,-4,1,-3,2]=>[2,-3,1,-4,-5,6]
[6,-5,1,-4,-3,2]=>[2,-3,-4,1,-5,6]
[6,-5,1,-4,2,3]=>[3,2,-4,1,-5,6]
[6,-5,2,-4,3,-1]=>[-1,3,-4,2,-5,6]
[6,-5,2,-1,-4,3]=>[3,-4,-1,2,-5,6]
[6,-5,3,-2,-4,-1]=>[-1,-4,-2,3,-5,6]
[4,1,-3,2,5,6]=>[6,5,2,-3,1,4]
[5,1,-4,-3,6,2]=>[2,6,-3,-4,1,5]
[5,1,-4,-3,2,6]=>[6,2,-3,-4,1,5]
[6,1,-5,-4,-3,2]=>[2,-3,-4,-5,1,6]
[6,2,-5,-4,-1,-3]=>[-3,-1,-4,-5,2,6]
[5,1,-4,2,3,6]=>[6,3,2,-4,1,5]
[6,1,-5,-4,2,3]=>[3,2,-4,-5,1,6]
[6,2,-5,3,4,-1]=>[-1,4,3,-5,2,6]
[5,2,-4,3,-1,6]=>[6,-1,3,-4,2,5]
[6,2,-5,-1,-4,3]=>[3,-4,-1,-5,2,6]
[6,2,-5,3,-1,4]=>[4,-1,3,-5,2,6]
[6,3,-5,4,-2,-1]=>[-1,-2,4,-5,3,6]
[6,3,-5,4,1,-2]=>[-2,1,4,-5,3,6]
[5,2,-1,-4,3,6]=>[6,3,-4,-1,2,5]
[6,2,-1,-5,-4,3]=>[3,-4,-5,-1,2,6]
[6,2,-1,-5,3,4]=>[4,3,-5,-1,2,6]
[6,3,-2,-5,4,-1]=>[-1,4,-5,-2,3,6]
[5,3,-2,-4,-1,6]=>[6,-1,-4,-2,3,5]
[6,3,-2,-5,-4,-1]=>[-1,-4,-5,-2,3,6]
[6,3,-2,-5,-1,4]=>[4,-1,-5,-2,3,6]
[6,4,-3,-5,-2,-1]=>[-1,-2,-5,-3,4,6]
[6,4,-3,-5,1,-2]=>[-2,1,-5,-3,4,6]
[6,4,1,-3,-5,-2]=>[-2,-5,-3,1,4,6]
[5,2,-1,6,-4,3]=>[3,-4,6,-1,2,5]
[6,2,-5,3,-4,-1]=>[-1,-4,3,-5,2,6]
[6,3,4,-5,-2,-1]=>[-1,-2,-5,4,3,6]
[5,1,6,-4,-2,3]=>[3,-2,-4,6,1,5]
[5,6,-4,2,-3,1]=>[1,-3,2,-4,6,5]
[5,6,1,-4,-2,3]=>[3,-2,-4,1,6,5]
[5,6,4,-3,-2,-1]=>[-1,-2,-3,4,6,5]
[1,2,3,6,-4,-5]=>[-5,-4,6,3,2,1]
[1,2,6,-4,3,-5]=>[-5,3,-4,6,2,1]
[1,2,5,-3,-4,6]=>[6,-4,-3,5,2,1]
[1,2,6,-3,-5,4]=>[4,-5,-3,6,2,1]
[1,3,6,-2,4,-5]=>[-5,4,-2,6,3,1]
[1,2,6,-3,-4,-5]=>[-5,-4,-3,6,2,1]
[1,3,-2,6,-4,-5]=>[-5,-4,6,-2,3,1]
[1,6,-4,2,3,-5]=>[-5,3,2,-4,6,1]
[1,5,-3,2,-4,6]=>[6,-4,2,-3,5,1]
[1,6,-2,3,4,-5]=>[-5,4,3,-2,6,1]
[1,6,-3,2,-4,-5]=>[-5,-4,2,-3,6,1]
[1,4,-2,-3,5,6]=>[6,5,-3,-2,4,1]
[1,4,-2,-3,6,-5]=>[-5,6,-3,-2,4,1]
[1,5,-2,-4,3,6]=>[6,3,-4,-2,5,1]
[1,6,-2,-5,3,4]=>[4,3,-5,-2,6,1]
[1,6,-2,-4,3,-5]=>[-5,3,-4,-2,6,1]
[2,5,-1,3,-4,6]=>[6,-4,3,-1,5,2]
[2,6,-1,3,-5,4]=>[4,-5,3,-1,6,2]
[2,6,1,3,4,-5]=>[-5,4,3,1,6,2]
[2,6,-1,3,-4,-5]=>[-5,-4,3,-1,6,2]
[1,5,-2,-3,-4,6]=>[6,-4,-3,-2,5,1]
[1,6,-2,-3,-5,4]=>[4,-5,-3,-2,6,1]
[1,6,-2,-5,4,-3]=>[-3,4,-5,-2,6,1]
[2,6,3,-4,-1,-5]=>[-5,-1,-4,3,6,2]
[1,6,-2,-3,-4,-5]=>[-5,-4,-3,-2,6,1]
[2,-1,3,6,-4,-5]=>[-5,-4,6,3,-1,2]
[2,-1,6,-4,3,-5]=>[-5,3,-4,6,-1,2]
[2,-1,5,-3,-4,6]=>[6,-4,-3,5,-1,2]
[2,-1,6,-3,-5,4]=>[4,-5,-3,6,-1,2]
[3,-1,6,-2,4,-5]=>[-5,4,-2,6,-1,3]
[2,-1,6,-3,-4,-5]=>[-5,-4,-3,6,-1,2]
[3,-2,1,6,-4,-5]=>[-5,-4,6,1,-2,3]
[6,-4,1,2,3,-5]=>[-5,3,2,1,-4,6]
[5,-3,1,2,-4,6]=>[6,-4,2,1,-3,5]
[6,-3,1,2,-5,4]=>[4,-5,2,1,-3,6]
[6,-2,1,3,4,-5]=>[-5,4,3,1,-2,6]
[6,-3,1,2,-4,-5]=>[-5,-4,2,1,-3,6]
[4,-2,1,-3,5,6]=>[6,5,-3,1,-2,4]
[4,-2,1,-3,6,-5]=>[-5,6,-3,1,-2,4]
[6,-2,1,-5,3,4]=>[4,3,-5,1,-2,6]
[6,-2,1,-4,3,-5]=>[-5,3,-4,1,-2,6]
[5,-1,2,3,-4,6]=>[6,-4,3,2,-1,5]
[6,-1,2,3,-5,4]=>[4,-5,3,2,-1,6]
[6,-1,2,3,-4,-5]=>[-5,-4,3,2,-1,6]
[5,-2,1,-3,-4,6]=>[6,-4,-3,1,-2,5]
[6,-2,1,-3,-5,4]=>[4,-5,-3,1,-2,6]
[6,-2,1,-5,4,-3]=>[-3,4,-5,1,-2,6]
[6,-1,3,-4,2,-5]=>[-5,2,-4,3,-1,6]
[6,-2,1,-3,-4,-5]=>[-5,-4,-3,1,-2,6]
[3,-1,-2,4,6,-5]=>[-5,6,4,-2,-1,3]
[3,-1,-2,5,-4,6]=>[6,-4,5,-2,-1,3]
[3,-1,-2,6,-5,4]=>[4,-5,6,-2,-1,3]
[3,-1,-2,6,-4,-5]=>[-5,-4,6,-2,-1,3]
[4,-1,-3,2,6,-5]=>[-5,6,2,-3,-1,4]
[6,-1,-4,2,3,-5]=>[-5,3,2,-4,-1,6]
[5,-1,-3,2,-4,6]=>[6,-4,2,-3,-1,5]
[6,-1,-3,2,-5,4]=>[4,-5,2,-3,-1,6]
[6,-1,-2,3,4,-5]=>[-5,4,3,-2,-1,6]
[6,-1,-3,2,-4,-5]=>[-5,-4,2,-3,-1,6]
[4,1,2,-3,6,-5]=>[-5,6,-3,2,1,4]
[6,1,2,-4,3,-5]=>[-5,3,-4,2,1,6]
[6,-4,2,3,1,-5]=>[-5,1,3,2,-4,6]
[5,1,2,-3,-4,6]=>[6,-4,-3,2,1,5]
[6,1,2,-3,-5,4]=>[4,-5,-3,2,1,6]
[6,1,3,-2,4,-5]=>[-5,4,-2,3,1,6]
[6,-4,3,1,2,-5]=>[-5,2,1,3,-4,6]
[6,1,2,-3,-4,-5]=>[-5,-4,-3,2,1,6]
[4,-1,-2,-3,6,-5]=>[-5,6,-3,-2,-1,4]
[6,-1,-2,-4,3,-5]=>[-5,3,-4,-2,-1,6]
[6,-1,-4,3,-2,-5]=>[-5,-2,3,-4,-1,6]
[6,2,-3,1,-4,-5]=>[-5,-4,1,-3,2,6]
[5,6,2,1,4,-3]=>[-3,4,1,2,6,5]
[2,5,6,1,4,-3]=>[-3,4,1,6,5,2]
[2,5,1,6,4,-3]=>[-3,4,6,1,5,2]
[5,2,4,1,6,-3]=>[-3,6,1,4,2,5]
[5,2,1,4,6,-3]=>[-3,6,4,1,2,5]
[2,5,1,4,6,-3]=>[-3,6,4,1,5,2]
[3,-6,2,5,-4,1]=>[1,-4,5,2,-6,3]
[-6,-4,2,3,-5,1]=>[1,-5,3,2,-4,-6]
[6,2,3,5,-4,1]=>[1,-4,5,3,2,6]
[-6,2,3,5,-4,1]=>[1,-4,5,3,2,-6]
[4,2,3,6,-5,1]=>[1,-5,6,3,2,4]
[3,-5,2,4,-6,1]=>[1,-6,4,2,-5,3]
[4,-5,2,-6,-3,1]=>[1,-3,-6,2,-5,4]
[5,2,4,-6,-3,1]=>[1,-3,-6,4,2,5]
[3,-5,2,-6,-4,1]=>[1,-4,-6,2,-5,3]
[3,-6,-4,-5,1,2]=>[2,1,-5,-4,-6,3]
[6,3,5,-4,1,2]=>[2,1,-4,5,3,6]
[3,4,-5,-6,1,2]=>[2,1,-6,-5,4,3]
[4,-5,-3,-6,1,2]=>[2,1,-6,-3,-5,4]
[5,-3,4,-6,1,2]=>[2,1,-6,4,-3,5]
[5,4,-6,-3,1,2]=>[2,1,-3,-6,4,5]
[3,-5,-4,-6,1,2]=>[2,1,-6,-4,-5,3]
[-6,-3,5,-4,1,2]=>[2,1,-4,5,-3,-6]
[-5,-3,-6,-4,1,2]=>[2,1,-4,-6,-3,-5]
[2,6,5,-4,1,3]=>[3,1,-4,5,6,2]
[-4,-5,2,-6,1,3]=>[3,1,-6,2,-5,-4]
[6,2,5,-4,1,3]=>[3,1,-4,5,2,6]
[2,-5,4,-6,1,3]=>[3,1,-6,4,-5,2]
[6,2,4,-5,1,3]=>[3,1,-5,4,2,6]
[-5,2,4,-6,1,3]=>[3,1,-6,4,2,-5]
[-2,4,6,-5,1,3]=>[3,1,-5,6,4,-2]
[2,-4,5,-6,1,3]=>[3,1,-6,5,-4,2]
[2,-5,-6,-4,1,3]=>[3,1,-4,-6,-5,2]
[-2,5,-6,-4,1,3]=>[3,1,-4,-6,5,-2]
[2,-4,-6,-5,1,3]=>[3,1,-5,-6,-4,2]
[-3,-5,2,-6,1,4]=>[4,1,-6,2,-5,-3]
[-6,2,5,-3,1,4]=>[4,1,-3,5,2,-6]
[-3,2,5,-6,1,4]=>[4,1,-6,5,2,-3]
[-6,-3,2,-4,1,5]=>[5,1,-4,2,-3,-6]
[3,6,-2,-4,1,5]=>[5,1,-4,-2,6,3]
[-6,1,4,-3,-5,2]=>[2,-5,-3,4,1,-6]
[2,-4,-3,6,1,5]=>[5,1,6,-3,-4,2]
[2,-6,-3,1,-5,4]=>[4,-5,1,-3,-6,2]
[-5,6,2,4,-3,1]=>[1,-3,4,2,6,-5]
[6,2,-3,1,4,5]=>[5,4,1,-3,2,6]
[-3,1,-5,6,-4,2]=>[2,-4,6,-5,1,-3]
[-6,1,3,-5,-4,2]=>[2,-4,-5,3,1,-6]
[-3,-6,1,-4,2,5]=>[5,2,-4,1,-6,-3]
[2,6,3,-4,1,5]=>[5,1,-4,3,6,2]
[4,1,2,-6,-5,3]=>[3,-5,-6,2,1,4]
[3,-6,1,4,-5,2]=>[2,-5,4,1,-6,3]
[3,1,4,6,2,-5]=>[-5,2,6,4,1,3]
[6,2,1,3,5,-4]=>[-4,5,3,1,2,6]
[3,5,1,6,2,-4]=>[-4,2,6,1,5,3]
[3,1,5,6,2,-4]=>[-4,2,6,5,1,3]
[6,2,4,1,5,-3]=>[-3,5,1,4,2,6]
[6,1,4,5,2,-3]=>[-3,2,5,4,1,6]
[1,5,4,6,2,-3]=>[-3,2,6,4,5,1]
[6,5,1,3,4,-2]=>[-2,4,3,1,5,6]
[6,1,4,3,5,-2]=>[-2,5,3,4,1,6]
[3,1,-6,2,5,4]=>[4,5,2,-6,1,3]
[4,1,3,-6,2,5]=>[5,2,-6,3,1,4]
[4,1,3,-6,5,2]=>[2,5,-6,3,1,4]
[4,1,-6,5,2,3]=>[3,2,5,-6,1,4]
[5,1,2,4,-6,3]=>[3,-6,4,2,1,5]
[2,1,-6,5,3,4]=>[4,3,5,-6,1,2]
[3,2,-6,5,1,4]=>[4,1,5,-6,2,3]
[3,2,-6,4,1,5]=>[5,1,4,-6,2,3]
[4,2,3,-6,5,1]=>[1,5,-6,3,2,4]
[4,2,-6,1,5,3]=>[3,5,1,-6,2,4]
[4,3,-6,1,5,2]=>[2,5,1,-6,3,4]
[4,3,-6,5,1,2]=>[2,1,5,-6,3,4]
[-4,1,-6,5,2,3]=>[3,2,5,-6,1,-4]
[-6,1,4,2,-5,3]=>[3,-5,2,4,1,-6]
[4,1,2,5,-6,3]=>[3,-6,5,2,1,4]
[1,6,4,2,-5,3]=>[3,-5,2,4,6,1]
[1,3,4,-5,-6,2]=>[2,-6,-5,4,3,1]
[6,1,3,-5,2,4]=>[4,2,-5,3,1,6]
[6,3,-5,1,2,4]=>[4,2,1,-5,3,6]
[-6,-4,1,-3,2,5]=>[5,2,-3,1,-4,-6]
[-4,6,-5,1,2,3]=>[3,2,1,-5,6,-4]
[-6,-2,-5,1,3,4]=>[4,3,1,-5,-2,-6]
[-6,-2,1,-4,3,5]=>[5,3,-4,1,-2,-6]
[-4,-5,1,-3,2,6]=>[6,2,-3,1,-5,-4]
[-5,-3,1,-4,2,6]=>[6,2,-4,1,-3,-5]
[5,1,-6,2,-4,3]=>[3,-4,2,-6,1,5]
[6,-2,5,1,-4,3]=>[3,-4,1,5,-2,6]
[5,3,4,6,1,-2]=>[-2,1,6,4,3,5]
[3,4,6,-5,-2,1]=>[1,-2,-5,6,4,3]
[-6,-5,3,-4,1,2]=>[2,1,-4,3,-5,-6]
[-6,5,-4,-3,1,2]=>[2,1,-3,-4,5,-6]
[2,4,6,-5,1,3]=>[3,1,-5,6,4,2]
[2,5,-6,-4,1,3]=>[3,1,-4,-6,5,2]
[-6,4,-5,1,2,3]=>[3,2,1,-5,4,-6]
[5,3,-4,1,2,6]=>[6,2,1,-4,3,5]
[3,-1,4,-2,5,6]=>[6,5,-2,4,-1,3]
[2,4,5,1,-3,6]=>[6,-3,1,5,4,2]
[4,1,-3,5,2,6]=>[6,2,5,-3,1,4]
[4,2,5,-3,-1,6]=>[6,-1,-3,5,2,4]
[4,2,5,1,-3,6]=>[6,-3,1,5,2,4]
[4,2,-1,5,6,-3]=>[-3,6,5,-1,2,4]
[4,2,5,-3,6,1]=>[1,6,-3,5,2,4]
[4,-2,5,6,-3,1]=>[1,-3,6,5,-2,4]
[4,5,3,6,-2,1]=>[1,-2,6,3,5,4]
[3,5,6,-2,-4,1]=>[1,-4,-2,6,5,3]
[4,-1,5,6,-2,-3]=>[-3,-2,6,5,-1,4]
[4,2,1,5,-3,6]=>[6,-3,5,1,2,4]
[4,1,5,-2,-3,6]=>[6,-3,-2,5,1,4]
[4,5,3,1,-2,6]=>[6,-2,1,3,5,4]
[4,1,-2,5,6,-3]=>[-3,6,5,-2,1,4]
[4,-1,5,-2,6,-3]=>[-3,6,-2,5,-1,4]
[4,5,3,-1,6,-2]=>[-2,6,-1,3,5,4]
[4,3,5,6,-1,-2]=>[-2,-1,6,5,3,4]
[5,3,-2,6,-1,-4]=>[-4,-1,6,-2,3,5]
[5,6,3,1,4,-2]=>[-2,4,1,3,6,5]
[5,3,6,-1,-4,-2]=>[-2,-4,-1,6,3,5]
[5,3,6,-2,-4,1]=>[1,-4,-2,6,3,5]
[5,6,3,1,-2,4]=>[4,-2,1,3,6,5]
[5,3,-2,6,1,-4]=>[-4,1,6,-2,3,5]
[5,6,3,-1,4,-2]=>[-2,4,-1,3,6,5]
[5,3,6,2,-1,-4]=>[-4,-1,2,6,3,5]
[5,3,-1,-2,6,-4]=>[-4,6,-2,-1,3,5]
[5,3,2,6,-1,-4]=>[-4,-1,6,2,3,5]
[5,2,6,-1,-3,-4]=>[-4,-3,-1,6,2,5]
[5,6,4,2,-1,-3]=>[-3,-1,2,4,6,5]
[3,6,-4,2,-1,-5]=>[-5,-1,2,-4,6,3]
[4,6,3,-2,1,-5]=>[-5,1,-2,3,6,4]
[6,1,-2,-4,-3,-5]=>[-5,-3,-4,-2,1,6]
[6,1,-3,-2,-4,-5]=>[-5,-4,-2,-3,1,6]
[6,2,-4,1,-5,-3]=>[-3,-5,1,-4,2,6]
[6,2,-3,-4,-1,-5]=>[-5,-1,-4,-3,2,6]
[6,2,-4,-3,1,-5]=>[-5,1,-3,-4,2,6]
[6,3,-4,-2,-5,1]=>[1,-5,-2,-4,3,6]
[6,-3,2,1,-5,-4]=>[-4,-5,1,2,-3,6]
[6,-3,2,-4,1,-5]=>[-5,1,-4,2,-3,6]
[6,-1,-4,3,-5,2]=>[2,-5,3,-4,-1,6]
[6,-4,1,3,-5,2]=>[2,-5,3,1,-4,6]
[6,1,-4,-2,3,-5]=>[-5,3,-2,-4,1,6]
[6,1,-3,-2,-5,4]=>[4,-5,-2,-3,1,6]
[6,-3,2,-5,1,4]=>[4,1,-5,2,-3,6]
[1,6,2,-3,-5,-4]=>[-4,-5,-3,2,6,1]
[1,6,2,-4,-3,-5]=>[-5,-3,-4,2,6,1]
[1,6,3,-4,-5,-2]=>[-2,-5,-4,3,6,1]
[1,6,-4,3,-5,2]=>[2,-5,3,-4,6,1]
[1,6,2,-5,-3,4]=>[4,-3,-5,2,6,1]
[1,2,6,3,-5,-4]=>[-4,-5,3,6,2,1]
[5,1,-3,-2,-4,6]=>[6,-4,-2,-3,1,5]
[5,-3,2,-4,1,6]=>[6,1,-4,2,-3,5]
[1,5,2,-4,-3,6]=>[6,-3,-4,2,5,1]
[4,-2,1,5,-6,3]=>[3,-6,5,1,-2,4]
[2,-5,3,1,-6,4]=>[4,-6,1,3,-5,2]
[6,1,3,2,4,-5]=>[-5,4,2,3,1,6]
[5,4,6,1,2,-3]=>[-3,2,1,6,4,5]
[-2,-6,3,5,1,4]=>[4,1,5,3,-6,-2]
[6,1,5,2,-4,3]=>[3,-4,2,5,1,6]
[4,-6,1,2,-5,3]=>[3,-5,2,1,-6,4]
[-2,4,-6,5,1,3]=>[3,1,5,-6,4,-2]
[6,-4,5,1,-3,2]=>[2,-3,1,5,-4,6]
[1,-3,5,2,-6,4]=>[4,-6,2,5,-3,1]
[3,1,4,-6,-5,2]=>[2,-5,-6,4,1,3]
[2,-5,3,6,1,4]=>[4,1,6,3,-5,2]
[3,-2,-4,6,1,5]=>[5,1,6,-4,-2,3]
[3,1,-6,2,-5,4]=>[4,-5,2,-6,1,3]
[6,4,1,-3,2,-5]=>[-5,2,-3,1,4,6]
[6,4,-3,1,-5,-2]=>[-2,-5,1,-3,4,6]
[6,3,-2,-1,-5,4]=>[4,-5,-1,-2,3,6]
[6,3,4,2,-1,-5]=>[-5,-1,2,4,3,6]
[6,3,4,1,-5,2]=>[2,-5,1,4,3,6]
[6,3,4,-2,-5,1]=>[1,-5,-2,4,3,6]
[6,3,-1,4,-2,-5]=>[-5,-2,4,-1,3,6]
[6,3,1,4,-5,-2]=>[-2,-5,4,1,3,6]
[6,1,3,4,-2,-5]=>[-5,-2,4,3,1,6]
[6,2,3,1,-5,-4]=>[-4,-5,1,3,2,6]
[6,2,3,-5,-4,-1]=>[-1,-4,-5,3,2,6]
[5,6,3,-2,-1,4]=>[4,-1,-2,3,6,5]
[5,3,6,2,-4,-1]=>[-1,-4,2,6,3,5]
[5,1,6,-3,2,-4]=>[-4,2,-3,6,1,5]
[5,3,-1,6,-4,-2]=>[-2,-4,6,-1,3,5]
[5,3,-2,1,6,-4]=>[-4,6,1,-2,3,5]
[5,1,3,6,2,-4]=>[-4,2,6,3,1,5]
[5,1,3,6,-4,-2]=>[-2,-4,6,3,1,5]
[5,1,3,-2,6,-4]=>[-4,6,-2,3,1,5]
[5,2,3,1,-4,6]=>[6,-4,1,3,2,5]
[5,2,3,-4,-1,6]=>[6,-1,-4,3,2,5]
[5,-1,2,3,6,-4]=>[-4,6,3,2,-1,5]
[3,5,6,-1,-4,-2]=>[-2,-4,-1,6,5,3]
[4,5,3,-2,-1,6]=>[6,-1,-2,3,5,4]
[4,3,5,6,-2,1]=>[1,-2,6,5,3,4]
[4,2,5,-3,1,6]=>[6,1,-3,5,2,4]
[4,-2,-1,5,6,-3]=>[-3,6,5,-1,-2,4]
[4,-1,2,5,-3,6]=>[6,-3,5,2,-1,4]
[-4,3,-6,-2,1,5]=>[5,1,-2,-6,3,-4]
[-6,4,-5,-3,1,2]=>[2,1,-3,-5,4,-6]
[2,4,6,-3,1,5]=>[5,1,-3,6,4,2]
[-3,2,-6,-5,1,4]=>[4,1,-5,-6,2,-3]
[-6,-4,2,-5,-3,1]=>[1,-3,-5,2,-4,-6]
[-6,3,-5,-4,1,2]=>[2,1,-4,-5,3,-6]
[6,3,-4,1,2,5]=>[5,2,1,-4,3,6]
[2,4,6,-3,-5,1]=>[1,-5,-3,6,4,2]
[2,5,-4,6,1,-3]=>[-3,1,6,-4,5,2]
[2,-1,5,6,4,-3]=>[-3,4,6,5,-1,2]
[3,4,2,6,-5,-1]=>[-1,-5,6,2,4,3]
[3,4,6,-1,-5,2]=>[2,-5,-1,6,4,3]
[3,5,-2,-4,6,1]=>[1,6,-4,-2,5,3]
[3,5,-4,6,2,-1]=>[-1,2,6,-4,5,3]
[4,5,6,-3,2,-1]=>[-1,2,-3,6,5,4]
[3,6,-2,-5,-1,4]=>[4,-1,-5,-2,6,3]
[4,-2,5,3,6,-1]=>[-1,6,3,5,-2,4]
[3,-2,5,6,4,-1]=>[-1,4,6,5,-2,3]
[4,-2,6,-3,-5,1]=>[1,-5,-3,6,-2,4]
[5,-2,1,6,4,-3]=>[-3,4,6,1,-2,5]
[5,-2,6,3,4,-1]=>[-1,4,3,6,-2,5]
[4,-3,-6,1,2,5]=>[5,2,1,-6,-3,4]
[4,-5,6,1,2,3]=>[3,2,1,6,-5,4]
[-6,2,-4,1,3,5]=>[5,3,1,-4,2,-6]
[-4,-3,-5,1,2,6]=>[6,2,1,-5,-3,-4]
[-3,5,-4,1,2,6]=>[6,2,1,-4,5,-3]
[6,5,-4,1,2,3]=>[3,2,1,-4,5,6]
[-5,2,-6,-4,1,3]=>[3,1,-4,-6,2,-5]
[6,2,4,-3,1,5]=>[5,1,-3,4,2,6]
[-5,6,-3,1,-4,2]=>[2,-4,1,-3,6,-5]
[6,-4,2,1,3,5]=>[5,3,1,2,-4,6]
[-4,-5,1,6,-3,2]=>[2,-3,6,1,-5,-4]
[-6,1,4,5,-3,2]=>[2,-3,5,4,1,-6]
[-4,1,-3,6,-5,2]=>[2,-5,6,-3,1,-4]
[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]
[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]
[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]
[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]
[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]
[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]
[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]
[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]
[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]
[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]
[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]
[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]
[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]
[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]
[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]
[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]
[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]
[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]
[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]
[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]
[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]
[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]
[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]
[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]
[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]
[2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]
[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]
[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]
[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]
[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]
[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]
[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]
[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]
[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]
[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]
[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]
[3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]
[3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]
[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]
[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]
[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]
[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]
[3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]
[3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]
[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]
[3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]
[3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]
[3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]
[3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]
[4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]
[4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]
[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]
[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]
[4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]
[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]
[4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]
[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]
[4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]
[4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]
[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]
[4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]
[4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]
[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]
[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]
[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]
[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]
[5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]
[5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]
[5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]
[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]
[5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]
[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]
[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]
[5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]
[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]
[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]
[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]
[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]
[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]
[7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]
[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]
[7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]
[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]
[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]
[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]
[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]
[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]
[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]
[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]
[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]
[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]
[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]
[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]
[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]
[3,4,5,6,7,1,-2]=>[-2,1,7,6,5,4,3]
[3,4,5,7,1,6,-2]=>[-2,6,1,7,5,4,3]
[3,4,6,1,7,5,-2]=>[-2,5,7,1,6,4,3]
[3,4,6,7,5,1,-2]=>[-2,1,5,7,6,4,3]
[3,4,7,1,5,6,-2]=>[-2,6,5,1,7,4,3]
[3,5,1,6,7,4,-2]=>[-2,4,7,6,1,5,3]
[3,5,1,7,4,6,-2]=>[-2,6,4,7,1,5,3]
[3,5,6,4,7,1,-2]=>[-2,1,7,4,6,5,3]
[3,5,6,7,4,1,-2]=>[-2,1,4,7,6,5,3]
[3,5,7,4,1,6,-2]=>[-2,6,1,4,7,5,3]
[3,6,1,4,7,5,-2]=>[-2,5,7,4,1,6,3]
[3,6,1,7,5,4,-2]=>[-2,4,5,7,1,6,3]
[3,6,7,4,5,1,-2]=>[-2,1,5,4,7,6,3]
[3,7,1,4,5,6,-2]=>[-2,6,5,4,1,7,3]
[4,1,5,6,7,3,-2]=>[-2,3,7,6,5,1,4]
[4,1,5,7,3,6,-2]=>[-2,6,3,7,5,1,4]
[4,1,6,3,7,5,-2]=>[-2,5,7,3,6,1,4]
[4,1,6,7,5,3,-2]=>[-2,3,5,7,6,1,4]
[4,1,7,3,5,6,-2]=>[-2,6,5,3,7,1,4]
[4,5,3,6,7,1,-2]=>[-2,1,7,6,3,5,4]
[4,5,3,7,1,6,-2]=>[-2,6,1,7,3,5,4]
[4,5,6,3,7,1,-2]=>[-2,1,7,3,6,5,4]
[4,5,6,7,1,3,-2]=>[-2,3,1,7,6,5,4]
[4,5,7,3,1,6,-2]=>[-2,6,1,3,7,5,4]
[4,6,3,1,7,5,-2]=>[-2,5,7,1,3,6,4]
[4,6,3,7,5,1,-2]=>[-2,1,5,7,3,6,4]
[4,6,7,3,5,1,-2]=>[-2,1,5,3,7,6,4]
[4,7,3,1,5,6,-2]=>[-2,6,5,1,3,7,4]
[5,1,3,6,7,4,-2]=>[-2,4,7,6,3,1,5]
[5,1,3,7,4,6,-2]=>[-2,6,4,7,3,1,5]
[5,1,6,4,7,3,-2]=>[-2,3,7,4,6,1,5]
[5,1,6,7,4,3,-2]=>[-2,3,4,7,6,1,5]
[5,1,7,4,3,6,-2]=>[-2,6,3,4,7,1,5]
[5,6,3,4,7,1,-2]=>[-2,1,7,4,3,6,5]
[5,6,3,7,4,1,-2]=>[-2,1,4,7,3,6,5]
[5,6,7,4,3,1,-2]=>[-2,1,3,4,7,6,5]
[5,7,3,4,1,6,-2]=>[-2,6,1,4,3,7,5]
[6,1,3,4,7,5,-2]=>[-2,5,7,4,3,1,6]
[6,1,3,7,5,4,-2]=>[-2,4,5,7,3,1,6]
[6,1,7,4,5,3,-2]=>[-2,3,5,4,7,1,6]
[6,7,3,4,5,1,-2]=>[-2,1,5,4,3,7,6]
[7,1,3,4,5,6,-2]=>[-2,6,5,4,3,1,7]
[1,4,5,6,7,2,-3]=>[-3,2,7,6,5,4,1]
[1,4,5,7,2,6,-3]=>[-3,6,2,7,5,4,1]
[1,4,6,2,7,5,-3]=>[-3,5,7,2,6,4,1]
[1,4,6,7,5,2,-3]=>[-3,2,5,7,6,4,1]
[1,4,7,2,5,6,-3]=>[-3,6,5,2,7,4,1]
[1,5,2,6,7,4,-3]=>[-3,4,7,6,2,5,1]
[1,5,2,7,4,6,-3]=>[-3,6,4,7,2,5,1]
[1,5,6,4,7,2,-3]=>[-3,2,7,4,6,5,1]
[1,5,6,7,4,2,-3]=>[-3,2,4,7,6,5,1]
[1,5,7,4,2,6,-3]=>[-3,6,2,4,7,5,1]
[1,6,2,4,7,5,-3]=>[-3,5,7,4,2,6,1]
[1,6,2,7,5,4,-3]=>[-3,4,5,7,2,6,1]
[1,6,7,4,5,2,-3]=>[-3,2,5,4,7,6,1]
[1,7,2,4,5,6,-3]=>[-3,6,5,4,2,7,1]
[4,2,5,6,7,1,-3]=>[-3,1,7,6,5,2,4]
[4,2,5,7,1,6,-3]=>[-3,6,1,7,5,2,4]
[4,2,6,1,7,5,-3]=>[-3,5,7,1,6,2,4]
[4,2,6,7,5,1,-3]=>[-3,1,5,7,6,2,4]
[4,2,7,1,5,6,-3]=>[-3,6,5,1,7,2,4]
[4,5,2,6,7,1,-3]=>[-3,1,7,6,2,5,4]
[4,5,2,7,1,6,-3]=>[-3,6,1,7,2,5,4]
[4,5,6,1,7,2,-3]=>[-3,2,7,1,6,5,4]
[4,5,6,7,2,1,-3]=>[-3,1,2,7,6,5,4]
[4,5,7,1,2,6,-3]=>[-3,6,2,1,7,5,4]
[4,6,2,1,7,5,-3]=>[-3,5,7,1,2,6,4]
[4,6,2,7,5,1,-3]=>[-3,1,5,7,2,6,4]
[4,6,7,1,5,2,-3]=>[-3,2,5,1,7,6,4]
[4,7,2,1,5,6,-3]=>[-3,6,5,1,2,7,4]
[5,2,1,6,7,4,-3]=>[-3,4,7,6,1,2,5]
[5,2,1,7,4,6,-3]=>[-3,6,4,7,1,2,5]
[5,2,6,4,7,1,-3]=>[-3,1,7,4,6,2,5]
[5,2,6,7,4,1,-3]=>[-3,1,4,7,6,2,5]
[5,2,7,4,1,6,-3]=>[-3,6,1,4,7,2,5]
[5,6,2,4,7,1,-3]=>[-3,1,7,4,2,6,5]
[5,6,2,7,4,1,-3]=>[-3,1,4,7,2,6,5]
[5,6,7,4,1,2,-3]=>[-3,2,1,4,7,6,5]
[5,7,2,4,1,6,-3]=>[-3,6,1,4,2,7,5]
[6,2,1,4,7,5,-3]=>[-3,5,7,4,1,2,6]
[6,2,1,7,5,4,-3]=>[-3,4,5,7,1,2,6]
[6,2,7,4,5,1,-3]=>[-3,1,5,4,7,2,6]
[6,7,2,4,5,1,-3]=>[-3,1,5,4,2,7,6]
[7,2,1,4,5,6,-3]=>[-3,6,5,4,1,2,7]
[1,2,5,6,7,3,-4]=>[-4,3,7,6,5,2,1]
[1,2,5,7,3,6,-4]=>[-4,6,3,7,5,2,1]
[1,2,6,3,7,5,-4]=>[-4,5,7,3,6,2,1]
[1,2,6,7,5,3,-4]=>[-4,3,5,7,6,2,1]
[1,2,7,3,5,6,-4]=>[-4,6,5,3,7,2,1]
[1,5,3,6,7,2,-4]=>[-4,2,7,6,3,5,1]
[1,5,3,7,2,6,-4]=>[-4,6,2,7,3,5,1]
[1,5,6,3,7,2,-4]=>[-4,2,7,3,6,5,1]
[1,5,6,7,2,3,-4]=>[-4,3,2,7,6,5,1]
[1,5,7,3,2,6,-4]=>[-4,6,2,3,7,5,1]
[1,6,3,2,7,5,-4]=>[-4,5,7,2,3,6,1]
[1,6,3,7,5,2,-4]=>[-4,2,5,7,3,6,1]
[1,6,7,3,5,2,-4]=>[-4,2,5,3,7,6,1]
[1,7,3,2,5,6,-4]=>[-4,6,5,2,3,7,1]
[5,2,3,6,7,1,-4]=>[-4,1,7,6,3,2,5]
[5,2,3,7,1,6,-4]=>[-4,6,1,7,3,2,5]
[5,2,6,3,7,1,-4]=>[-4,1,7,3,6,2,5]
[5,2,6,7,1,3,-4]=>[-4,3,1,7,6,2,5]
[5,2,7,3,1,6,-4]=>[-4,6,1,3,7,2,5]
[5,6,3,2,7,1,-4]=>[-4,1,7,2,3,6,5]
[5,6,3,7,1,2,-4]=>[-4,2,1,7,3,6,5]
[5,6,7,3,1,2,-4]=>[-4,2,1,3,7,6,5]
[5,7,3,2,1,6,-4]=>[-4,6,1,2,3,7,5]
[6,2,3,1,7,5,-4]=>[-4,5,7,1,3,2,6]
[6,2,3,7,5,1,-4]=>[-4,1,5,7,3,2,6]
[6,2,7,3,5,1,-4]=>[-4,1,5,3,7,2,6]
[6,7,3,2,5,1,-4]=>[-4,1,5,2,3,7,6]
[7,2,3,1,5,6,-4]=>[-4,6,5,1,3,2,7]
[1,2,3,6,7,4,-5]=>[-5,4,7,6,3,2,1]
[1,2,3,7,4,6,-5]=>[-5,6,4,7,3,2,1]
[1,2,6,4,7,3,-5]=>[-5,3,7,4,6,2,1]
[1,2,6,7,4,3,-5]=>[-5,3,4,7,6,2,1]
[1,2,7,4,3,6,-5]=>[-5,6,3,4,7,2,1]
[1,6,3,4,7,2,-5]=>[-5,2,7,4,3,6,1]
[1,6,3,7,4,2,-5]=>[-5,2,4,7,3,6,1]
[1,6,7,4,3,2,-5]=>[-5,2,3,4,7,6,1]
[1,7,3,4,2,6,-5]=>[-5,6,2,4,3,7,1]
[6,2,3,4,7,1,-5]=>[-5,1,7,4,3,2,6]
[6,2,3,7,4,1,-5]=>[-5,1,4,7,3,2,6]
[6,2,7,4,3,1,-5]=>[-5,1,3,4,7,2,6]
[6,7,3,4,2,1,-5]=>[-5,1,2,4,3,7,6]
[7,2,3,4,1,6,-5]=>[-5,6,1,4,3,2,7]
[1,2,3,4,7,5,-6]=>[-6,5,7,4,3,2,1]
[1,2,3,7,5,4,-6]=>[-6,4,5,7,3,2,1]
[1,2,7,4,5,3,-6]=>[-6,3,5,4,7,2,1]
[1,7,3,4,5,2,-6]=>[-6,2,5,4,3,7,1]
[7,2,3,4,5,1,-6]=>[-6,1,5,4,3,2,7]
[1,2,3,4,5,6,-7]=>[-7,6,5,4,3,2,1]
[4,5,3,6,7,-1,2]=>[2,-1,7,6,3,5,4]
[4,5,6,7,-1,3,2]=>[2,3,-1,7,6,5,4]
[1,2,-7,-6,3,4,5]=>[5,4,3,-6,-7,2,1]
[1,7,-6,-5,2,3,4]=>[4,3,2,-5,-6,7,1]
[-7,1,-4,2,3,5,6]=>[6,5,3,2,-4,1,-7]
[-6,7,-4,1,2,3,5]=>[5,3,2,1,-4,7,-6]
[6,1,2,-7,3,4,5]=>[5,4,3,-7,2,1,6]
[-5,1,7,-6,2,3,4]=>[4,3,2,-6,7,1,-5]
[1,5,-7,-4,2,3,6]=>[6,3,2,-4,-7,5,1]
[-7,-4,6,1,2,3,5]=>[5,3,2,1,6,-4,-7]
[1,-7,-6,-5,-4,2,3]=>[3,2,-4,-5,-6,-7,1]
[-3,7,-6,1,2,4,5]=>[5,4,2,1,-6,7,-3]
[6,7,-5,-3,1,2,4]=>[4,2,1,-3,-5,7,6]
[-4,1,7,-6,2,3,5]=>[5,3,2,-6,7,1,-4]
[5,1,2,-7,3,4,6]=>[6,4,3,-7,2,1,5]
[1,-6,7,2,3,4,5]=>[5,4,3,2,7,-6,1]
[1,-5,-7,-6,2,3,4]=>[4,3,2,-6,-7,-5,1]
[-5,7,6,1,2,3,4]=>[4,3,2,1,6,7,-5]
[-7,-4,-6,-5,1,2,3]=>[3,2,1,-5,-6,-4,-7]
[-7,4,-3,1,2,5,6]=>[6,5,2,1,-3,4,-7]
[-4,-7,-6,-3,1,2,5]=>[5,2,1,-3,-6,-7,-4]
[6,-7,3,1,2,4,5]=>[5,4,2,1,3,-7,6]
[-6,5,7,-3,1,2,4]=>[4,2,1,-3,7,5,-6]
[6,-7,1,4,2,3,5]=>[5,3,2,4,1,-7,6]
[6,5,1,-7,2,3,4]=>[4,3,2,-7,1,5,6]
[5,-4,7,-6,1,2,3]=>[3,2,1,-6,7,-4,5]
[-5,-7,-4,-3,1,2,6]=>[6,2,1,-3,-4,-7,-5]
[6,4,-7,-3,1,2,5]=>[5,2,1,-3,-7,4,6]
[7,-6,-5,-4,-3,1,2]=>[2,1,-3,-4,-5,-6,7]
[-2,1,-7,3,4,5,6]=>[6,5,4,3,-7,1,-2]
[-2,7,-6,1,3,4,5]=>[5,4,3,1,-6,7,-2]
[-7,2,-5,1,3,4,6]=>[6,4,3,1,-5,2,-7]
[-2,-7,-6,-5,1,3,4]=>[4,3,1,-5,-6,-7,-2]
[-4,2,-7,1,3,5,6]=>[6,5,3,1,-7,2,-4]
[2,7,-6,-4,1,3,5]=>[5,3,1,-4,-6,7,2]
[-2,-6,-7,1,3,4,5]=>[5,4,3,1,-7,-6,-2]
[5,2,-7,-6,1,3,4]=>[4,3,1,-6,-7,2,5]
[2,5,-7,-4,1,3,6]=>[6,3,1,-4,-7,5,2]
[-7,2,6,-4,1,3,5]=>[5,3,1,-4,6,2,-7]
[6,-5,2,-7,1,3,4]=>[4,3,1,-7,2,-5,6]
[2,-7,-6,-5,-4,1,3]=>[3,1,-4,-5,-6,-7,2]
[3,1,-7,-6,2,4,5]=>[5,4,2,-6,-7,1,3]
[-7,-3,-6,-5,1,2,4]=>[4,2,1,-5,-6,-3,-7]
[1,-7,4,2,3,5,6]=>[6,5,3,2,4,-7,1]
[1,-4,-7,-6,2,3,5]=>[5,3,2,-6,-7,-4,1]
[1,-7,5,2,3,4,6]=>[6,4,3,2,5,-7,1]
[1,6,2,-7,3,4,5]=>[5,4,3,-7,2,6,1]
[6,1,7,-5,2,3,4]=>[4,3,2,-5,7,1,6]
[4,-5,7,1,2,3,6]=>[6,3,2,1,7,-5,4]
[-4,7,6,1,2,3,5]=>[5,3,2,1,6,7,-4]
[7,-5,1,6,2,3,4]=>[4,3,2,6,1,-5,7]
[4,1,-7,-6,-5,2,3]=>[3,2,-5,-6,-7,1,4]
[-7,-4,3,1,2,5,6]=>[6,5,2,1,3,-4,-7]
[-3,6,7,-4,1,2,5]=>[5,2,1,-4,7,6,-3]
[3,6,1,-7,2,4,5]=>[5,4,2,-7,1,6,3]
[5,-3,7,-6,1,2,4]=>[4,2,1,-6,7,-3,5]
[-4,7,5,1,2,3,6]=>[6,3,2,1,5,7,-4]
[-4,6,1,-7,2,3,5]=>[5,3,2,-7,1,6,-4]
[7,5,1,-6,2,3,4]=>[4,3,2,-6,1,5,7]
[7,-5,-4,-6,1,2,3]=>[3,2,1,-6,-4,-5,7]
[-5,-3,-7,-4,1,2,6]=>[6,2,1,-4,-7,-3,-5]
[-7,-4,3,6,1,2,5]=>[5,2,1,6,3,-4,-7]
[4,5,-7,6,1,2,3]=>[3,2,1,6,-7,5,4]
[-3,7,-6,-5,-4,1,2]=>[2,1,-4,-5,-6,7,-3]
[-2,3,-7,1,4,5,6]=>[6,5,4,1,-7,3,-2]
[2,3,-7,-6,1,4,5]=>[5,4,1,-6,-7,3,2]
[3,7,-5,-2,1,4,6]=>[6,4,1,-2,-5,7,3]
[-6,2,3,-7,1,4,5]=>[5,4,1,-7,3,2,-6]
[3,-7,-6,-5,-2,1,4]=>[4,1,-2,-5,-6,-7,3]
[4,2,-7,-6,1,3,5]=>[5,3,1,-6,-7,2,4]
[-2,-5,-7,1,3,4,6]=>[6,4,3,1,-7,-5,-2]
[7,-6,2,1,3,4,5]=>[5,4,3,1,2,-6,7]
[2,-5,-7,-6,1,3,4]=>[4,3,1,-6,-7,-5,2]
[-4,2,7,-5,1,3,6]=>[6,3,1,-5,7,2,-4]
[6,-4,2,-7,1,3,5]=>[5,3,1,-7,2,-4,6]
[5,6,2,-7,1,3,4]=>[4,3,1,-7,2,6,5]
[-4,2,-7,-6,-5,1,3]=>[3,1,-5,-6,-7,2,-4]
[4,-3,7,-6,1,2,5]=>[5,2,1,-6,7,-3,4]
[3,5,1,-7,2,4,6]=>[6,4,2,-7,1,5,3]
[-6,7,3,1,2,4,5]=>[5,4,2,1,3,7,-6]
[-3,-5,7,-6,1,2,4]=>[4,2,1,-6,7,-5,-3]
[5,4,1,-7,2,3,6]=>[6,3,2,-7,1,4,5]
[7,4,1,-6,2,3,5]=>[5,3,2,-6,1,4,7]
[-7,1,-6,5,2,3,4]=>[4,3,2,5,-6,1,-7]
[-5,4,1,-7,-6,2,3]=>[3,2,-6,-7,1,4,-5]
[-7,5,3,6,1,2,4]=>[4,2,1,6,3,5,-7]
[-5,4,7,6,1,2,3]=>[3,2,1,6,7,4,-5]
[-4,-3,7,-6,-5,1,2]=>[2,1,-5,-6,7,-3,-4]
[3,4,-7,-2,1,5,6]=>[6,5,1,-2,-7,4,3]
[4,-7,-6,-3,-2,1,5]=>[5,1,-2,-3,-6,-7,4]
[-5,2,3,-7,1,4,6]=>[6,4,1,-7,3,2,-5]
[6,2,3,-7,1,4,5]=>[5,4,1,-7,3,2,6]
[-5,3,-7,-6,-2,1,4]=>[4,1,-2,-6,-7,3,-5]
[5,-4,2,-7,1,3,6]=>[6,3,1,-7,2,-4,5]
[-4,-6,2,-7,1,3,5]=>[5,3,1,-7,2,-6,-4]
[-5,2,-6,-7,1,3,4]=>[4,3,1,-7,-6,2,-5]
[-5,-4,2,-7,-6,1,3]=>[3,1,-6,-7,2,-4,-5]
[3,6,-7,4,1,2,5]=>[5,2,1,4,-7,6,3]
[6,5,-7,3,1,2,4]=>[4,2,1,3,-7,5,6]
[6,4,5,1,-7,2,3]=>[3,2,-7,1,5,4,6]
[-5,-4,-3,7,-6,1,2]=>[2,1,-6,7,-3,-4,-5]
[5,-7,-4,-3,-2,1,6]=>[6,1,-2,-3,-4,-7,5]
[-6,4,-7,-3,-2,1,5]=>[5,1,-2,-3,-7,4,-6]
[-6,-5,3,-7,-2,1,4]=>[4,1,-2,-7,3,-5,-6]
[-6,-5,-4,2,-7,1,3]=>[3,1,-7,2,-4,-5,-6]
[-7,-6,-5,-4,-3,-2,1]=>[1,-2,-3,-4,-5,-6,-7]
[1,2,7,3,4,-6,5]=>[5,-6,4,3,7,2,1]
[1,2,7,3,-5,4,6]=>[6,4,-5,3,7,2,1]
[1,2,3,-7,6,4,5]=>[5,4,6,-7,3,2,1]
[1,6,2,3,7,-5,4]=>[4,-5,7,3,2,6,1]
[1,2,7,-4,3,5,6]=>[6,5,3,-4,7,2,1]
[7,1,2,-4,3,-6,5]=>[5,-6,3,-4,2,1,7]
[1,-7,2,5,3,4,6]=>[6,4,3,5,2,-7,1]
[1,-7,2,3,6,4,5]=>[5,4,6,3,2,-7,1]
[1,7,2,-5,3,-6,4]=>[4,-6,3,-5,2,7,1]
[5,1,2,-4,7,3,6]=>[6,3,7,-4,2,1,5]
[1,6,2,-7,-4,3,5]=>[5,3,-4,-7,2,6,1]
[1,-7,2,5,6,3,4]=>[4,3,6,5,2,-7,1]
[5,1,2,6,7,-4,3]=>[3,-4,7,6,2,1,5]
[1,-3,7,2,4,5,6]=>[6,5,4,2,7,-3,1]
[7,1,-3,2,4,-6,5]=>[5,-6,4,2,-3,1,7]
[7,1,-3,2,-5,4,6]=>[6,4,-5,2,-3,1,7]
[1,6,-3,-7,2,4,5]=>[5,4,2,-7,-3,6,1]
[-6,1,-3,2,7,-5,4]=>[4,-5,7,2,-3,1,-6]
[1,-7,4,2,3,-6,5]=>[5,-6,3,2,4,-7,1]
[1,-5,7,2,3,-6,4]=>[4,-6,3,2,7,-5,1]
[1,7,-4,2,-5,3,6]=>[6,3,-5,2,-4,7,1]
[5,6,1,-7,2,3,4]=>[4,3,2,-7,1,6,5]
[6,1,-4,2,7,-5,3]=>[3,-5,7,2,-4,1,6]
[-4,1,-3,2,7,5,6]=>[6,5,7,2,-3,1,-4]
[-4,1,7,-3,2,-6,5]=>[5,-6,2,-3,7,1,-4]
[5,-7,1,-3,2,4,6]=>[6,4,2,-3,1,-7,5]
[1,-7,6,-3,2,4,5]=>[5,4,2,-3,6,-7,1]
[-7,1,-3,-5,2,-6,4]=>[4,-6,2,-5,-3,1,-7]
[-6,-7,1,2,5,3,4]=>[4,3,5,2,1,-7,-6]
[1,5,7,-4,2,-6,3]=>[3,-6,2,-4,7,5,1]
[-4,1,5,-3,7,2,6]=>[6,2,7,-3,5,1,-4]
[-4,1,-3,-7,6,2,5]=>[5,2,6,-7,-3,1,-4]
[5,-3,-7,1,6,2,4]=>[4,2,6,1,-7,-3,5]
[-4,1,7,5,6,2,3]=>[3,2,6,5,7,1,-4]
[-4,1,5,6,7,-3,2]=>[2,-3,7,6,5,1,-4]
[-2,1,3,4,7,5,6]=>[6,5,7,4,3,1,-2]
[-2,1,7,3,4,-6,5]=>[5,-6,4,3,7,1,-2]
[-2,1,7,3,-5,4,6]=>[6,4,-5,3,7,1,-2]
[-2,1,3,-7,6,4,5]=>[5,4,6,-7,3,1,-2]
[-2,6,1,3,7,-5,4]=>[4,-5,7,3,1,6,-2]
[-2,1,7,-4,3,5,6]=>[6,5,3,-4,7,1,-2]
[7,-2,1,-4,3,-6,5]=>[5,-6,3,-4,1,-2,7]
[-2,-7,1,5,3,4,6]=>[6,4,3,5,1,-7,-2]
[-2,-7,1,3,6,4,5]=>[5,4,6,3,1,-7,-2]
[-2,7,1,-5,3,-6,4]=>[4,-6,3,-5,1,7,-2]
[5,-2,1,-4,7,3,6]=>[6,3,7,-4,1,-2,5]
[-2,6,1,-7,-4,3,5]=>[5,3,-4,-7,1,6,-2]
[-2,-7,1,5,6,3,4]=>[4,3,6,5,1,-7,-2]
[5,-2,1,6,7,-4,3]=>[3,-4,7,6,1,-2,5]
[7,3,1,2,4,-6,5]=>[5,-6,4,2,1,3,7]
[7,3,1,2,-5,4,6]=>[6,4,-5,2,1,3,7]
[-6,3,1,2,7,-5,4]=>[4,-5,7,2,1,3,-6]
[7,1,4,2,3,-6,5]=>[5,-6,3,2,4,1,7]
[1,6,7,2,3,-5,4]=>[4,-5,3,2,7,6,1]
[-4,1,7,2,-5,3,6]=>[6,3,-5,2,7,1,-4]
[4,1,6,-7,2,3,5]=>[5,3,2,-7,6,1,4]
[1,7,2,-5,6,3,4]=>[4,3,6,-5,2,7,1]
[-4,6,1,2,7,-5,3]=>[3,-5,7,2,1,6,-4]
[-3,7,1,-4,2,5,6]=>[6,5,2,-4,1,7,-3]
[-7,-3,1,-4,2,-6,5]=>[5,-6,2,-4,1,-3,-7]
[7,5,1,-3,2,4,6]=>[6,4,2,-3,1,5,7]
[7,1,6,-3,2,4,5]=>[5,4,2,-3,6,1,7]
[-7,-5,1,-3,2,-6,4]=>[4,-6,2,-3,1,-5,-7]
[7,5,-4,1,2,3,6]=>[6,3,2,1,-4,5,7]
[7,-4,6,1,2,3,5]=>[5,3,2,1,6,-4,7]
[-6,1,7,2,5,3,4]=>[4,3,5,2,7,1,-6]
[-7,-5,1,-6,2,-4,3]=>[3,-4,2,-6,1,-5,-7]
[-5,-3,1,-4,7,2,6]=>[6,2,7,-4,1,-3,-5]
[6,-3,1,-7,-4,2,5]=>[5,2,-4,-7,1,-3,6]
[7,5,1,-3,6,2,4]=>[4,2,6,-3,1,5,7]
[7,5,-4,1,6,2,3]=>[3,2,6,1,-4,5,7]
[-5,-3,1,6,7,-4,2]=>[2,-4,7,6,1,-3,-5]
[3,-2,1,4,7,5,6]=>[6,5,7,4,1,-2,3]
[3,-2,7,1,4,-6,5]=>[5,-6,4,1,7,-2,3]
[3,-2,7,1,-5,4,6]=>[6,4,-5,1,7,-2,3]
[3,-2,1,-7,6,4,5]=>[5,4,6,-7,1,-2,3]
[3,6,-2,1,7,-5,4]=>[4,-5,7,1,-2,6,3]
[7,-2,4,1,3,5,6]=>[6,5,3,1,4,-2,7]
[-2,-7,4,1,3,-6,5]=>[5,-6,3,1,4,-7,-2]
[7,-2,1,5,3,4,6]=>[6,4,3,5,1,-2,7]
[-2,1,3,6,7,4,5]=>[5,4,7,6,3,1,-2]
[-2,-5,7,1,3,-6,4]=>[4,-6,3,1,7,-5,-2]
[-2,7,-4,1,-5,3,6]=>[6,3,-5,1,-4,7,-2]
[-4,6,-2,-7,1,3,5]=>[5,3,1,-7,-2,6,-4]
[5,6,-2,-7,1,3,4]=>[4,3,1,-7,-2,6,5]
[6,-2,-4,1,7,-5,3]=>[3,-5,7,1,-4,-2,6]
[7,3,4,1,2,-6,5]=>[5,-6,2,1,4,3,7]
[5,3,7,1,2,-6,4]=>[4,-6,2,1,7,3,5]
[-4,-5,7,1,2,-6,3]=>[3,-6,2,1,7,-5,-4]
[4,-3,7,1,-5,2,6]=>[6,2,-5,1,7,-3,4]
[4,-3,1,-7,6,2,5]=>[5,2,6,-7,1,-3,4]
[-3,5,1,-7,6,2,4]=>[4,2,6,-7,1,5,-3]
[-4,-7,6,-5,1,2,3]=>[3,2,1,-5,6,-7,-4]
[4,6,-3,1,7,-5,2]=>[2,-5,7,1,-3,6,4]
[3,4,-2,1,7,5,6]=>[6,5,7,1,-2,4,3]
[3,4,7,-2,1,-6,5]=>[5,-6,1,-2,7,4,3]
[3,-7,-2,5,1,4,6]=>[6,4,1,5,-2,-7,3]
[3,-7,-2,1,6,4,5]=>[5,4,6,1,-2,-7,3]
[3,7,-2,-5,1,-6,4]=>[4,-6,1,-5,-2,7,3]
[7,-2,4,5,1,3,6]=>[6,3,1,5,4,-2,7]
[7,-2,4,1,6,3,5]=>[5,3,6,1,4,-2,7]
[-6,-7,-2,1,5,3,4]=>[4,3,5,1,-2,-7,-6]
[-2,5,7,-4,1,-6,3]=>[3,-6,1,-4,7,5,-2]
[3,-7,6,1,5,2,4]=>[4,2,5,1,6,-7,3]
[4,5,7,-6,1,-3,2]=>[2,-3,1,-6,7,5,4]
[3,4,5,-2,7,1,6]=>[6,1,7,-2,5,4,3]
[3,4,-2,-7,6,1,5]=>[5,1,6,-7,-2,4,3]
[3,-7,-2,5,6,1,4]=>[4,1,6,5,-2,-7,3]
[-7,2,4,5,6,1,3]=>[3,1,6,5,4,2,-7]
[3,4,5,6,7,-2,1]=>[1,-2,7,6,5,4,3]
[4,3,1,-7,6,2,5]=>[5,2,6,-7,1,3,4]
[-5,4,-6,3,-7,1,2]=>[2,1,-7,3,-6,4,-5]
[-5,4,-6,2,-7,1,3]=>[3,1,-7,2,-6,4,-5]
[-6,5,-7,4,-3,1,2]=>[2,1,-3,4,-7,5,-6]
[-5,4,-6,-7,1,2,3]=>[3,2,1,-7,-6,4,-5]
[-5,3,-6,2,-7,1,4]=>[4,1,-7,2,-6,3,-5]
[-6,5,-7,3,-4,1,2]=>[2,1,-4,3,-7,5,-6]
[-6,5,-7,2,-4,1,3]=>[3,1,-4,2,-7,5,-6]
[-5,-6,3,4,-7,1,2]=>[2,1,-7,4,3,-6,-5]
[-6,5,4,-7,1,2,3]=>[3,2,1,-7,4,5,-6]
[-5,-6,2,3,-7,1,4]=>[4,1,-7,3,2,-6,-5]
[-6,3,-7,5,-4,1,2]=>[2,1,-4,5,-7,3,-6]
[-6,5,1,-7,-4,2,3]=>[3,2,-4,-7,1,5,-6]
[3,6,5,-7,1,2,4]=>[4,2,1,-7,5,6,3]
[-4,3,-6,2,-7,1,5]=>[5,1,-7,2,-6,3,-4]
[-6,4,-7,3,-5,1,2]=>[2,1,-5,3,-7,4,-6]
[-6,4,-7,2,-5,1,3]=>[3,1,-5,2,-7,4,-6]
[3,4,7,6,-5,1,2]=>[2,1,-5,6,7,4,3]
[7,6,4,-5,1,2,3]=>[3,2,1,-5,4,6,7]
[-6,3,-7,2,-5,1,4]=>[4,1,-5,2,-7,3,-6]
[5,-6,-4,3,-7,1,2]=>[2,1,-7,3,-4,-6,5]
[5,-6,-4,2,-7,1,3]=>[3,1,-7,2,-4,-6,5]
[5,-6,3,4,-7,1,2]=>[2,1,-7,4,3,-6,5]
[5,-6,2,4,-7,1,3]=>[3,1,-7,4,2,-6,5]
[5,-6,2,3,-7,1,4]=>[4,1,-7,3,2,-6,5]
[-6,-7,4,5,-3,1,2]=>[2,1,-3,5,4,-7,-6]
[5,-6,-4,-7,1,2,3]=>[3,2,1,-7,-4,-6,5]
[3,-6,5,-7,1,2,4]=>[4,2,1,-7,5,-6,3]
[4,-6,-3,2,-7,1,5]=>[5,1,-7,2,-3,-6,4]
[-4,6,-7,3,-5,1,2]=>[2,1,-5,3,-7,6,-4]
[-4,6,-7,2,-5,1,3]=>[3,1,-5,2,-7,6,-4]
[3,7,4,6,-5,1,2]=>[2,1,-5,6,4,7,3]
[1,-7,4,6,-5,2,3]=>[3,2,-5,6,4,-7,1]
[2,7,3,6,-5,1,4]=>[4,1,-5,6,3,7,2]
[-6,-4,3,5,-7,1,2]=>[2,1,-7,5,3,-4,-6]
[6,-4,5,-7,1,2,3]=>[3,2,1,-7,5,-4,6]
[-6,1,5,-7,2,3,4]=>[4,3,2,-7,5,1,-6]
[-6,-4,2,3,-7,1,5]=>[5,1,-7,3,2,-4,-6]
[-4,3,-7,6,-5,1,2]=>[2,1,-5,6,-7,3,-4]
[-6,4,1,-7,-5,2,3]=>[3,2,-5,-7,1,4,-6]
[1,-6,3,-7,-5,2,4]=>[4,2,-5,-7,3,-6,1]
[4,3,6,-7,1,2,5]=>[5,2,1,-7,6,3,4]
[-4,3,-5,2,-7,1,6]=>[6,1,-7,2,-5,3,-4]
[-5,4,-7,3,-6,1,2]=>[2,1,-6,3,-7,4,-5]
[-5,4,-7,2,-6,1,3]=>[3,1,-6,2,-7,4,-5]
[4,7,-5,-3,-6,1,2]=>[2,1,-6,-3,-5,7,4]
[7,5,4,-6,1,2,3]=>[3,2,1,-6,4,5,7]
[-5,3,-7,2,-6,1,4]=>[4,1,-6,2,-7,3,-5]
[4,5,7,3,-6,1,2]=>[2,1,-6,3,7,5,4]
[4,5,7,2,-6,1,3]=>[3,1,-6,2,7,5,4]
[-5,-7,3,4,-6,1,2]=>[2,1,-6,4,3,-7,-5]
[-5,7,4,-6,1,2,3]=>[3,2,1,-6,4,7,-5]
[-5,-7,2,3,-6,1,4]=>[4,1,-6,3,2,-7,-5]
[3,5,-7,-4,-6,1,2]=>[2,1,-6,-4,-7,5,3]
[4,7,1,5,-6,2,3]=>[3,2,-6,5,1,7,4]
[-3,-7,5,-6,1,2,4]=>[4,2,1,-6,5,-7,-3]
[-4,3,-7,2,-6,1,5]=>[5,1,-6,2,-7,3,-4]
[6,-7,-4,3,-5,1,2]=>[2,1,-5,3,-4,-7,6]
[6,-7,-4,2,-5,1,3]=>[3,1,-5,2,-4,-7,6]
[6,-7,-5,4,-3,1,2]=>[2,1,-3,4,-5,-7,6]
[4,7,6,-5,1,2,3]=>[3,2,1,-5,6,7,4]
[6,-7,-3,2,-5,1,4]=>[4,1,-5,2,-3,-7,6]
[6,-7,3,5,-4,1,2]=>[2,1,-4,5,3,-7,6]
[6,-7,2,5,-4,1,3]=>[3,1,-4,5,2,-7,6]
[-5,-6,4,-7,-3,1,2]=>[2,1,-3,-7,4,-6,-5]
[5,-6,4,-7,1,2,3]=>[3,2,1,-7,4,-6,5]
[6,-7,2,5,-3,1,4]=>[4,1,-3,5,2,-7,6]
[6,-7,4,5,-3,1,2]=>[2,1,-3,5,4,-7,6]
[6,-7,5,-4,1,2,3]=>[3,2,1,-4,5,-7,6]
[6,-7,5,-3,1,2,4]=>[4,2,1,-3,5,-7,6]
[6,-7,2,4,-3,1,5]=>[5,1,-3,4,2,-7,6]
[6,-7,-5,3,-4,1,2]=>[2,1,-4,3,-5,-7,6]
[6,-7,-5,2,-4,1,3]=>[3,1,-4,2,-5,-7,6]
[7,3,4,6,-5,1,2]=>[2,1,-5,6,4,3,7]
[6,-7,4,-5,1,2,3]=>[3,2,1,-5,4,-7,6]
[7,2,3,6,-5,1,4]=>[4,1,-5,6,3,2,7]
[6,3,5,-7,-4,1,2]=>[2,1,-4,-7,5,3,6]
[5,-6,-7,-4,1,2,3]=>[3,2,1,-4,-7,-6,5]
[-6,2,5,-7,1,3,4]=>[4,3,1,-7,5,2,-6]
[-6,-4,3,-7,-2,1,5]=>[5,1,-2,-7,3,-4,-6]
[3,-7,-5,6,-4,1,2]=>[2,1,-4,6,-5,-7,3]
[6,-7,1,-5,-4,2,3]=>[3,2,-4,-5,1,-7,6]
[3,-6,-7,-5,1,2,4]=>[4,2,1,-5,-7,-6,3]
[-4,3,6,-7,1,2,5]=>[5,2,1,-7,6,3,-4]
[5,-7,-3,2,-4,1,6]=>[6,1,-4,2,-3,-7,5]
[-7,4,-5,3,-6,1,2]=>[2,1,-6,3,-5,4,-7]
[-7,4,-5,2,-6,1,3]=>[3,1,-6,2,-5,4,-7]
[3,4,-7,-5,-6,1,2]=>[2,1,-6,-5,-7,4,3]
[-7,4,-5,-6,1,2,3]=>[3,2,1,-6,-5,4,-7]
[-7,3,-5,2,-6,1,4]=>[4,1,-6,2,-5,3,-7]
[7,-5,-4,3,-6,1,2]=>[2,1,-6,3,-4,-5,7]
[7,-5,-4,2,-6,1,3]=>[3,1,-6,2,-4,-5,7]
[-7,-5,-3,4,-6,1,2]=>[2,1,-6,4,-3,-5,-7]
[-7,-5,-2,4,-6,1,3]=>[3,1,-6,4,-2,-5,-7]
[-7,-5,-2,3,-6,1,4]=>[4,1,-6,3,-2,-5,-7]
[-7,-5,-4,-3,-6,1,2]=>[2,1,-6,-3,-4,-5,-7]
[5,-7,-4,-6,1,2,3]=>[3,2,1,-6,-4,-7,5]
[-7,1,3,5,-6,2,4]=>[4,2,-6,5,3,1,-7]
[7,-4,-3,2,-6,1,5]=>[5,1,-6,2,-3,-4,7]
[-7,-4,3,6,-5,1,2]=>[2,1,-5,6,3,-4,-7]
[-7,-4,2,6,-5,1,3]=>[3,1,-5,6,2,-4,-7]
[-7,3,4,6,-5,1,2]=>[2,1,-5,6,4,3,-7]
[-7,2,4,6,-5,1,3]=>[3,1,-5,6,4,2,-7]
[-7,2,3,6,-5,1,4]=>[4,1,-5,6,3,2,-7]
[-6,5,-7,-4,-3,1,2]=>[2,1,-3,-4,-7,5,-6]
[-6,5,-7,-4,-2,1,3]=>[3,1,-2,-4,-7,5,-6]
[-6,5,-7,-2,1,3,4]=>[4,3,1,-2,-7,5,-6]
[-7,-5,4,6,-3,1,2]=>[2,1,-3,6,4,-5,-7]
[-7,-4,6,-5,1,2,3]=>[3,2,1,-5,6,-4,-7]
[6,3,-7,-5,1,2,4]=>[4,2,1,-5,-7,3,6]
[4,6,-7,-3,1,2,5]=>[5,2,1,-3,-7,6,4]
[-7,-5,2,4,-3,1,6]=>[6,1,-3,4,2,-5,-7]
[-4,7,-5,3,-6,1,2]=>[2,1,-6,3,-5,7,-4]
[-4,7,-5,2,-6,1,3]=>[3,1,-6,2,-5,7,-4]
[3,5,4,7,-6,1,2]=>[2,1,-6,7,4,5,3]
[1,-5,4,7,-6,2,3]=>[3,2,-6,7,4,-5,1]
[2,5,3,7,-6,1,4]=>[4,1,-6,7,3,5,2]
[4,3,5,7,-6,1,2]=>[2,1,-6,7,5,3,4]
[7,-4,5,-6,1,2,3]=>[3,2,1,-6,5,-4,7]
[-7,1,5,-6,2,3,4]=>[4,3,2,-6,5,1,-7]
[-4,-2,3,7,-6,1,5]=>[5,1,-6,7,3,-2,-4]
[-4,3,6,-7,-5,1,2]=>[2,1,-5,-7,6,3,-4]
[-6,-4,-7,-5,1,2,3]=>[3,2,1,-5,-7,-4,-6]
[1,6,-7,-5,2,3,4]=>[4,3,2,-5,-7,6,1]
[6,-7,-4,1,2,3,5]=>[5,3,2,1,-4,-7,6]
[-4,3,7,-5,-2,1,6]=>[6,1,-2,-5,7,3,-4]
[-4,3,-5,7,-6,1,2]=>[2,1,-6,7,-5,3,-4]
[1,-5,3,-7,-6,2,4]=>[4,2,-6,-7,3,-5,1]
[-4,1,3,-7,-6,2,5]=>[5,2,-6,-7,3,1,-4]
[-4,3,-7,-5,1,2,6]=>[6,2,1,-5,-7,3,-4]
[-4,3,-5,2,-6,1,7]=>[7,1,-6,2,-5,3,-4]
[1,2,5,6,7,-4,-3]=>[-3,-4,7,6,5,2,1]
[1,5,6,7,-4,-3,2]=>[2,-3,-4,7,6,5,1]
[2,4,5,-3,6,7,-1]=>[-1,7,6,-3,5,4,2]
[4,5,6,-3,7,-1,2]=>[2,-1,7,-3,6,5,4]
[2,3,5,6,7,1,-4]=>[-4,1,7,6,5,3,2]
[2,5,6,7,-1,-4,3]=>[3,-4,-1,7,6,5,2]
[1,5,6,-4,2,7,-3]=>[-3,7,2,-4,6,5,1]
[4,5,6,-2,7,3,-1]=>[-1,3,7,-2,6,5,4]
[1,6,7,-5,-4,-3,-2]=>[-2,-3,-4,-5,7,6,1]
[4,5,-1,6,7,-3,2]=>[2,-3,7,6,-1,5,4]
[5,6,-4,7,-3,1,2]=>[2,1,-3,7,-4,6,5]
[2,5,6,-1,7,-4,3]=>[3,-4,7,-1,6,5,2]
[2,3,5,6,1,7,-4]=>[-4,7,1,6,5,3,2]
[1,4,5,6,7,-2,3]=>[3,-2,7,6,5,4,1]
[1,5,6,7,-2,-4,-3]=>[-3,-4,-2,7,6,5,1]
[5,6,7,-2,-4,-3,-1]=>[-1,-3,-4,-2,7,6,5]
[4,5,-3,2,6,7,-1]=>[-1,7,6,2,-3,5,4]
[5,6,-4,-1,7,-3,-2]=>[-2,-3,7,-1,-4,6,5]
[5,6,-4,7,2,-1,3]=>[3,-1,2,7,-4,6,5]
[3,5,6,7,2,1,-4]=>[-4,1,2,7,6,5,3]
[5,6,7,-2,1,-4,3]=>[3,-4,1,-2,7,6,5]
[5,6,-4,-3,-1,7,-2]=>[-2,7,-1,-3,-4,6,5]
[5,6,-4,2,7,1,-3]=>[-3,1,7,2,-4,6,5]
[6,7,-5,-4,-3,-2,1]=>[1,-2,-3,-4,-5,7,6]
[2,-1,4,5,6,7,-3]=>[-3,7,6,5,4,-1,2]
[4,-1,5,6,7,-3,2]=>[2,-3,7,6,5,-1,4]
[4,2,5,6,-3,7,-1]=>[-1,7,-3,6,5,2,4]
[5,-1,6,7,-4,-3,-2]=>[-2,-3,-4,7,6,-1,5]
[4,2,5,-1,6,7,-3]=>[-3,7,6,-1,5,2,4]
[5,1,6,-4,7,-3,2]=>[2,-3,7,-4,6,1,5]
[4,-1,5,6,7,-2,-3]=>[-3,-2,7,6,5,-1,4]
[5,2,6,7,1,-4,-3]=>[-3,-4,1,7,6,2,5]
[5,1,6,-4,2,7,-3]=>[-3,7,2,-4,6,1,5]
[5,2,6,-4,7,3,-1]=>[-1,3,7,-4,6,2,5]
[5,3,6,7,-2,1,-4]=>[-4,1,-2,7,6,3,5]
[6,1,7,-5,-4,-3,-2]=>[-2,-3,-4,-5,7,1,6]
[2,5,1,6,7,-4,-3]=>[-3,-4,7,6,1,5,2]
[5,6,-2,7,-4,-3,-1]=>[-1,-3,-4,7,-2,6,5]
[1,4,5,3,6,7,-2]=>[-2,7,6,3,5,4,1]
[1,5,6,-2,7,-4,-3]=>[-3,-4,7,-2,6,5,1]
[1,4,5,6,3,7,-2]=>[-2,7,3,6,5,4,1]
[1,3,5,6,7,2,-4]=>[-4,2,7,6,5,3,1]
[2,5,6,7,-4,1,3]=>[3,1,-4,7,6,5,2]
[4,5,6,1,-2,7,3]=>[3,7,-2,1,6,5,4]
[4,5,6,-1,7,3,2]=>[2,3,7,-1,6,5,4]
[3,5,6,7,-2,4,1]=>[1,4,-2,7,6,5,3]
[2,6,7,1,-5,-4,-3]=>[-3,-4,-5,1,7,6,2]
[4,5,3,-2,6,7,-1]=>[-1,7,6,-2,3,5,4]
[5,6,-1,-4,7,2,3]=>[3,2,7,-4,-1,6,5]
[3,5,1,6,7,2,-4]=>[-4,2,7,6,1,5,3]
[5,6,-2,7,1,-4,3]=>[3,-4,1,7,-2,6,5]
[4,5,6,-1,3,7,2]=>[2,7,3,-1,6,5,4]
[3,5,6,-1,7,2,-4]=>[-4,2,7,-1,6,5,3]
[3,5,6,7,2,-4,1]=>[1,-4,2,7,6,5,3]
[5,6,7,-3,-2,-4,1]=>[1,-4,-2,-3,7,6,5]
[5,6,-2,-4,-1,7,-3]=>[-3,7,-1,-4,-2,6,5]
[5,6,3,-2,7,4,-1]=>[-1,4,7,-2,3,6,5]
[5,6,7,1,2,4,-3]=>[-3,4,2,1,7,6,5]
[6,7,-1,-5,-4,-3,2]=>[2,-3,-4,-5,-1,7,6]
[4,-1,2,5,6,7,-3]=>[-3,7,6,5,2,-1,4]
[5,1,2,6,7,-4,-3]=>[-3,-4,7,6,2,1,5]
[5,-4,1,6,-3,7,2]=>[2,7,-3,6,1,-4,5]
[5,2,3,6,7,-1,-4]=>[-4,-1,7,6,3,2,5]
[6,-5,1,7,-4,-3,-2]=>[-2,-3,-4,7,1,-5,6]
[5,2,6,1,7,-4,-3]=>[-3,-4,7,1,6,2,5]
[4,-1,5,6,-2,7,-3]=>[-3,7,-2,6,5,-1,4]
[4,3,5,6,7,-2,1]=>[1,-2,7,6,5,3,4]
[5,1,6,7,-2,-4,-3]=>[-3,-4,-2,7,6,1,5]
[5,2,6,-1,-4,7,3]=>[3,7,-4,-1,6,2,5]
[5,3,6,-2,7,1,-4]=>[-4,1,7,-2,6,3,5]
[5,3,6,7,1,2,-4]=>[-4,2,1,7,6,3,5]
[6,2,7,-1,-5,-4,-3]=>[-3,-4,-5,-1,7,2,6]
[5,6,-2,1,7,-4,3]=>[3,-4,7,1,-2,6,5]
[3,5,1,6,2,7,-4]=>[-4,7,2,6,1,5,3]
[5,6,-1,7,-2,-4,3]=>[3,-4,-2,7,-1,6,5]
[3,5,6,2,1,7,-4]=>[-4,7,1,2,6,5,3]
[3,5,6,2,7,-4,1]=>[1,-4,7,2,6,5,3]
[2,5,6,7,4,-3,-1]=>[-1,-3,4,7,6,5,2]
[3,6,7,2,-1,-5,-4]=>[-4,-5,-1,2,7,6,3]
[5,6,3,7,2,4,-1]=>[-1,4,2,7,3,6,5]
[5,6,7,2,-1,4,3]=>[3,4,-1,2,7,6,5]
[6,7,-2,-1,-5,-4,3]=>[3,-4,-5,-1,-2,7,6]
[5,-4,1,2,6,7,-3]=>[-3,7,6,2,1,-4,5]
[6,-5,-4,1,7,-3,-2]=>[-2,-3,7,1,-4,-5,6]
[5,2,3,6,-1,7,-4]=>[-4,7,-1,6,3,2,5]
[6,-5,2,7,-1,-4,-3]=>[-3,-4,-1,7,2,-5,6]
[5,3,6,-2,1,7,-4]=>[-4,7,1,-2,6,3,5]
[5,3,6,-1,7,-2,-4]=>[-4,-2,7,-1,6,3,5]
[5,2,6,7,-1,-3,-4]=>[-4,-3,-1,7,6,2,5]
[6,3,7,-2,-1,-5,-4]=>[-4,-5,-1,-2,7,3,6]
[5,6,1,4,7,2,-3]=>[-3,2,7,4,1,6,5]
[5,6,4,7,2,1,-3]=>[-3,1,2,7,4,6,5]
[4,6,7,2,3,1,-5]=>[-5,1,3,2,7,6,4]
[6,7,-3,-2,-1,-5,4]=>[4,-5,-1,-2,-3,7,6]
[6,-5,-4,-3,1,7,-2]=>[-2,7,1,-3,-4,-5,6]
[6,-5,-4,2,7,-1,-3]=>[-3,-1,7,2,-4,-5,6]
[6,-5,3,7,-2,-1,-4]=>[-4,-1,-2,7,3,-5,6]
[6,4,7,-3,-2,-1,-5]=>[-5,-1,-2,-3,7,4,6]
[7,-6,-5,-4,-3,-2,-1]=>[-1,-2,-3,-4,-5,-6,7]
[3,-6,-4,2,-5,1,7]=>[7,1,-5,2,-4,-6,3]
[3,-5,-4,2,-6,1,7]=>[7,1,-6,2,-4,-5,3]
[3,-4,2,6,-5,1,7]=>[7,1,-5,6,2,-4,3]
[3,-5,-4,2,-7,1,6]=>[6,1,-7,2,-4,-5,3]
[3,-7,-6,2,-5,1,4]=>[4,1,-5,2,-6,-7,3]
[-6,-3,2,5,-4,1,7]=>[7,1,-4,5,2,-3,-6]
[7,-6,-4,2,-5,1,3]=>[3,1,-5,2,-4,-6,7]
[-3,-5,2,4,-6,1,7]=>[7,1,-6,4,2,-5,-3]
[-3,-5,2,4,-7,1,6]=>[6,1,-7,4,2,-5,-3]
[3,-4,2,5,-6,1,7]=>[7,1,-6,5,2,-4,3]
[3,-4,2,7,-5,1,6]=>[6,1,-5,7,2,-4,3]
[3,-4,2,5,-7,1,6]=>[6,1,-7,5,2,-4,3]
[-3,-7,2,4,-6,1,5]=>[5,1,-6,4,2,-7,-3]
[-6,-3,2,4,-5,1,7]=>[7,1,-5,4,2,-3,-6]
[-5,-3,2,-6,-4,1,7]=>[7,1,-4,-6,2,-3,-5]
[-3,-6,2,4,-7,1,5]=>[5,1,-7,4,2,-6,-3]
[4,5,2,7,-6,1,3]=>[3,1,-6,7,2,5,4]
[6,-4,2,7,-5,1,3]=>[3,1,-5,7,2,-4,6]
[-5,-7,2,6,-4,1,3]=>[3,1,-4,6,2,-7,-5]
[-5,-3,2,4,-6,1,7]=>[7,1,-6,4,2,-3,-5]
[-3,2,4,6,-5,1,7]=>[7,1,-5,6,4,2,-3]
[-3,2,-6,-5,-4,1,7]=>[7,1,-4,-5,-6,2,-3]
[-5,-3,2,4,-7,1,6]=>[6,1,-7,4,2,-3,-5]
[4,-7,-6,2,-5,1,3]=>[3,1,-5,2,-6,-7,4]
[6,2,5,7,-4,1,3]=>[3,1,-4,7,5,2,6]
[-5,2,4,-6,-3,1,7]=>[7,1,-3,-6,4,2,-5]
[3,-6,-4,7,-5,1,2]=>[2,1,-5,7,-4,-6,3]
[3,-5,-4,7,-6,1,2]=>[2,1,-6,7,-4,-5,3]
[3,-4,6,7,-5,1,2]=>[2,1,-5,7,6,-4,3]
[3,7,5,6,-4,1,2]=>[2,1,-4,6,5,7,3]
[-7,-6,-4,-3,-5,1,2]=>[2,1,-5,-3,-4,-6,-7]
[-6,-3,5,7,-4,1,2]=>[2,1,-4,7,5,-3,-6]
[-4,2,-5,-6,1,3,7]=>[7,3,1,-6,-5,2,-4]
[-4,2,-5,-7,1,3,6]=>[6,3,1,-7,-5,2,-4]
[7,4,2,-6,1,3,5]=>[5,3,1,-6,2,4,7]
[2,-6,-4,-5,1,3,7]=>[7,3,1,-5,-4,-6,2]
[-4,2,-6,-7,1,3,5]=>[5,3,1,-7,-6,2,-4]
[-5,3,2,-6,1,4,7]=>[7,4,1,-6,2,3,-5]
[-5,3,2,-7,1,4,6]=>[6,4,1,-7,2,3,-5]
[-3,-4,2,-7,-6,1,5]=>[5,1,-6,-7,2,-4,-3]
[3,-4,2,-5,1,6,7]=>[7,6,1,-5,2,-4,3]
[3,-4,2,6,-7,1,5]=>[5,1,-7,6,2,-4,3]
[-3,7,2,-6,1,4,5]=>[5,4,1,-6,2,7,-3]
[3,-6,2,-5,1,4,7]=>[7,4,1,-5,2,-6,3]
[-7,-3,2,-6,-4,1,5]=>[5,1,-4,-6,2,-3,-7]
[-6,3,2,-7,1,4,5]=>[5,4,1,-7,2,3,-6]
[-7,2,-5,-6,1,3,4]=>[4,3,1,-6,-5,2,-7]
[7,6,2,-5,1,3,4]=>[4,3,1,-5,2,6,7]
[4,5,2,-6,1,3,7]=>[7,3,1,-6,2,5,4]
[6,-4,2,-5,1,3,7]=>[7,3,1,-5,2,-4,6]
[4,5,2,-7,1,3,6]=>[6,3,1,-7,2,5,4]
[5,-3,2,-6,1,4,7]=>[7,4,1,-6,2,-3,5]
[3,2,6,-5,1,4,7]=>[7,4,1,-5,6,2,3]
[-3,2,-7,-5,-4,1,6]=>[6,1,-4,-5,-7,2,-3]
[5,-3,2,-7,1,4,6]=>[6,4,1,-7,2,-3,5]
[7,5,2,-6,1,3,4]=>[4,3,1,-6,2,5,7]
[6,7,2,-5,1,3,4]=>[4,3,1,-5,2,7,6]
[6,2,5,-4,1,3,7]=>[7,3,1,-4,5,2,6]
[-6,2,5,-3,1,4,7]=>[7,4,1,-3,5,2,-6]
[7,-6,-4,3,-5,1,2]=>[2,1,-5,3,-4,-6,7]
[3,4,-5,-7,-6,1,2]=>[2,1,-6,-7,-5,4,3]
[3,4,-6,-7,-5,1,2]=>[2,1,-5,-7,-6,4,3]
[3,-5,-4,-7,-6,1,2]=>[2,1,-6,-7,-4,-5,3]
[3,-6,-4,-7,-5,1,2]=>[2,1,-5,-7,-4,-6,3]
[3,-6,-5,-7,-4,1,2]=>[2,1,-4,-7,-5,-6,3]
[4,-7,-3,5,-6,1,2]=>[2,1,-6,5,-3,-7,4]
[-7,-4,-3,-6,-5,1,2]=>[2,1,-5,-6,-3,-4,-7]
[-5,-3,7,-6,-4,1,2]=>[2,1,-4,-6,7,-3,-5]
[4,5,-6,-7,-3,1,2]=>[2,1,-3,-7,-6,5,4]
[2,5,4,-6,1,3,7]=>[7,3,1,-6,4,5,2]
[2,5,4,-7,1,3,6]=>[6,3,1,-7,4,5,2]
[2,-4,5,-6,1,3,7]=>[7,3,1,-6,5,-4,2]
[7,-4,2,-5,1,3,6]=>[6,3,1,-5,2,-4,7]
[2,-4,5,-7,1,3,6]=>[6,3,1,-7,5,-4,2]
[2,-3,-6,1,4,5,7]=>[7,5,4,1,-6,-3,2]
[3,2,-7,-5,1,4,6]=>[6,4,1,-5,-7,2,3]
[-3,2,-7,-4,1,5,6]=>[6,5,1,-4,-7,2,-3]
[2,-3,-7,1,4,5,6]=>[6,5,4,1,-7,-3,2]
[-2,-7,4,-6,1,3,5]=>[5,3,1,-6,4,-7,-2]
[6,2,4,-5,1,3,7]=>[7,3,1,-5,4,2,6]
[5,2,-6,-4,1,3,7]=>[7,3,1,-4,-6,2,5]
[-3,2,-6,1,4,5,7]=>[7,5,4,1,-6,2,-3]
[2,6,4,-7,1,3,5]=>[5,3,1,-7,4,6,2]
[4,5,3,7,-6,1,2]=>[2,1,-6,7,3,5,4]
[6,-4,3,7,-5,1,2]=>[2,1,-5,7,3,-4,6]
[-5,-7,3,6,-4,1,2]=>[2,1,-4,6,3,-7,-5]
[5,-3,4,-7,-6,1,2]=>[2,1,-6,-7,4,-3,5]
[-7,-3,4,-6,-5,1,2]=>[2,1,-5,-6,4,-3,-7]
[4,-5,6,-7,-3,1,2]=>[2,1,-3,-7,6,-5,4]
[-5,-2,4,-6,1,3,7]=>[7,3,1,-6,4,-2,-5]
[-2,4,6,-5,1,3,7]=>[7,3,1,-5,6,4,-2]
[-2,-6,-5,-4,1,3,7]=>[7,3,1,-4,-5,-6,-2]
[2,-5,-3,1,4,6,7]=>[7,6,4,1,-3,-5,2]
[-5,-2,4,-7,1,3,6]=>[6,3,1,-7,4,-2,-5]
[4,-7,-6,3,-5,1,2]=>[2,1,-5,3,-6,-7,4]
[6,3,5,7,-4,1,2]=>[2,1,-4,7,5,3,6]
[5,4,-7,-6,-3,1,2]=>[2,1,-3,-6,-7,4,5]
[-5,4,-6,-2,1,3,7]=>[7,3,1,-2,-6,4,-5]
[6,-7,1,2,3,4,5]=>[5,4,3,2,1,-7,6]
[5,-7,1,2,3,6,4]=>[4,6,3,2,1,-7,5]
[4,-7,1,2,6,3,5]=>[5,3,6,2,1,-7,4]
[6,-7,1,2,5,3,4]=>[4,3,5,2,1,-7,6]
[4,-7,1,2,5,6,3]=>[3,6,5,2,1,-7,4]
[3,-7,1,6,2,4,5]=>[5,4,2,6,1,-7,3]
[3,-7,1,5,2,6,4]=>[4,6,2,5,1,-7,3]
[6,-7,1,5,2,3,4]=>[4,3,2,5,1,-7,6]
[5,-7,1,4,2,6,3]=>[3,6,2,4,1,-7,5]
[3,-7,1,4,6,2,5]=>[5,2,6,4,1,-7,3]
[3,-7,1,6,5,2,4]=>[4,2,5,6,1,-7,3]
[6,-7,1,4,5,2,3]=>[3,2,5,4,1,-7,6]
[3,-7,1,4,5,6,2]=>[2,6,5,4,1,-7,3]
[2,-7,6,1,3,4,5]=>[5,4,3,1,6,-7,2]
[2,-7,5,1,3,6,4]=>[4,6,3,1,5,-7,2]
[2,-7,4,1,6,3,5]=>[5,3,6,1,4,-7,2]
[2,-7,6,1,5,3,4]=>[4,3,5,1,6,-7,2]
[2,-7,4,1,5,6,3]=>[3,6,5,1,4,-7,2]
[5,-7,3,1,2,6,4]=>[4,6,2,1,3,-7,5]
[6,-7,4,1,2,3,5]=>[5,3,2,1,4,-7,6]
[5,-7,6,1,2,3,4]=>[4,3,2,1,6,-7,5]
[5,-7,4,1,2,6,3]=>[3,6,2,1,4,-7,5]
[4,-7,3,1,6,2,5]=>[5,2,6,1,3,-7,4]
[6,-7,3,1,5,2,4]=>[4,2,5,1,3,-7,6]
[6,-7,4,1,5,2,3]=>[3,2,5,1,4,-7,6]
[4,-7,3,1,5,6,2]=>[2,6,5,1,3,-7,4]
[2,-7,3,6,1,4,5]=>[5,4,1,6,3,-7,2]
[2,-7,3,5,1,6,4]=>[4,6,1,5,3,-7,2]
[2,-7,6,4,1,3,5]=>[5,3,1,4,6,-7,2]
[2,-7,6,5,1,3,4]=>[4,3,1,5,6,-7,2]
[2,-7,5,4,1,6,3]=>[3,6,1,4,5,-7,2]
[6,-7,3,4,1,2,5]=>[5,2,1,4,3,-7,6]
[6,-7,3,5,1,2,4]=>[4,2,1,5,3,-7,6]
[6,-7,5,4,1,2,3]=>[3,2,1,4,5,-7,6]
[5,-7,3,4,1,6,2]=>[2,6,1,4,3,-7,5]
[2,-7,3,4,6,1,5]=>[5,1,6,4,3,-7,2]
[2,-7,3,6,5,1,4]=>[4,1,5,6,3,-7,2]
[2,-7,6,4,5,1,3]=>[3,1,5,4,6,-7,2]
[6,-7,3,4,5,1,2]=>[2,1,5,4,3,-7,6]
[2,-7,3,4,5,6,1]=>[1,6,5,4,3,-7,2]
[6,1,-7,2,3,4,5]=>[5,4,3,2,-7,1,6]
[5,1,-7,2,3,6,4]=>[4,6,3,2,-7,1,5]
[4,1,-7,2,6,3,5]=>[5,3,6,2,-7,1,4]
[6,1,-7,2,5,3,4]=>[4,3,5,2,-7,1,6]
[4,1,-7,2,5,6,3]=>[3,6,5,2,-7,1,4]
[3,1,-7,6,2,4,5]=>[5,4,2,6,-7,1,3]
[3,1,-7,5,2,6,4]=>[4,6,2,5,-7,1,3]
[6,1,-7,4,2,3,5]=>[5,3,2,4,-7,1,6]
[6,1,-7,5,2,3,4]=>[4,3,2,5,-7,1,6]
[5,1,-7,4,2,6,3]=>[3,6,2,4,-7,1,5]
[3,1,-7,4,6,2,5]=>[5,2,6,4,-7,1,3]
[3,1,-7,6,5,2,4]=>[4,2,5,6,-7,1,3]
[6,1,-7,4,5,2,3]=>[3,2,5,4,-7,1,6]
[3,1,-7,4,5,6,2]=>[2,6,5,4,-7,1,3]
[2,6,-7,1,3,4,5]=>[5,4,3,1,-7,6,2]
[2,5,-7,1,3,6,4]=>[4,6,3,1,-7,5,2]
[2,4,-7,1,6,3,5]=>[5,3,6,1,-7,4,2]
[2,6,-7,1,5,3,4]=>[4,3,5,1,-7,6,2]
[2,4,-7,1,5,6,3]=>[3,6,5,1,-7,4,2]
[3,6,-7,1,2,4,5]=>[5,4,2,1,-7,6,3]
[3,5,-7,1,2,6,4]=>[4,6,2,1,-7,5,3]
[6,4,-7,1,2,3,5]=>[5,3,2,1,-7,4,6]
[5,6,-7,1,2,3,4]=>[4,3,2,1,-7,6,5]
[5,4,-7,1,2,6,3]=>[3,6,2,1,-7,4,5]
[3,4,-7,1,6,2,5]=>[5,2,6,1,-7,4,3]
[3,6,-7,1,5,2,4]=>[4,2,5,1,-7,6,3]
[6,4,-7,1,5,2,3]=>[3,2,5,1,-7,4,6]
[3,4,-7,1,5,6,2]=>[2,6,5,1,-7,4,3]
[2,3,-7,6,1,4,5]=>[5,4,1,6,-7,3,2]
[2,3,-7,5,1,6,4]=>[4,6,1,5,-7,3,2]
[2,6,-7,4,1,3,5]=>[5,3,1,4,-7,6,2]
[2,6,-7,5,1,3,4]=>[4,3,1,5,-7,6,2]
[2,5,-7,4,1,6,3]=>[3,6,1,4,-7,5,2]
[3,6,-7,5,1,2,4]=>[4,2,1,5,-7,6,3]
[6,5,-7,4,1,2,3]=>[3,2,1,4,-7,5,6]
[3,5,-7,4,1,6,2]=>[2,6,1,4,-7,5,3]
[2,3,-7,4,6,1,5]=>[5,1,6,4,-7,3,2]
[2,3,-7,6,5,1,4]=>[4,1,5,6,-7,3,2]
[2,6,-7,4,5,1,3]=>[3,1,5,4,-7,6,2]
[3,6,-7,4,5,1,2]=>[2,1,5,4,-7,6,3]
[2,3,-7,4,5,6,1]=>[1,6,5,4,-7,3,2]
[5,1,2,-7,3,6,4]=>[4,6,3,-7,2,1,5]
[4,1,2,-7,6,3,5]=>[5,3,6,-7,2,1,4]
[6,1,2,-7,5,3,4]=>[4,3,5,-7,2,1,6]
[4,1,2,-7,5,6,3]=>[3,6,5,-7,2,1,4]
[6,3,1,-7,2,4,5]=>[5,4,2,-7,1,3,6]
[5,3,1,-7,2,6,4]=>[4,6,2,-7,1,3,5]
[6,4,1,-7,2,3,5]=>[5,3,2,-7,1,4,6]
[6,1,5,-7,2,3,4]=>[4,3,2,-7,5,1,6]
[5,4,1,-7,2,6,3]=>[3,6,2,-7,1,4,5]
[6,3,1,-7,5,2,4]=>[4,2,5,-7,1,3,6]
[6,4,1,-7,5,2,3]=>[3,2,5,-7,1,4,6]
[4,3,1,-7,5,6,2]=>[2,6,5,-7,1,3,4]
[3,6,2,-7,1,4,5]=>[5,4,1,-7,2,6,3]
[3,5,2,-7,1,6,4]=>[4,6,1,-7,2,5,3]
[4,6,2,-7,1,3,5]=>[5,3,1,-7,2,6,4]
[2,6,5,-7,1,3,4]=>[4,3,1,-7,5,6,2]
[4,5,2,-7,1,6,3]=>[3,6,1,-7,2,5,4]
[3,4,6,-7,1,2,5]=>[5,2,1,-7,6,4,3]
[5,3,6,-7,1,2,4]=>[4,2,1,-7,6,3,5]
[5,4,6,-7,1,2,3]=>[3,2,1,-7,6,4,5]
[3,4,5,-7,1,6,2]=>[2,6,1,-7,5,4,3]
[3,4,2,-7,6,1,5]=>[5,1,6,-7,2,4,3]
[3,6,2,-7,5,1,4]=>[4,1,5,-7,2,6,3]
[4,6,2,-7,5,1,3]=>[3,1,5,-7,2,6,4]
[3,4,6,-7,5,1,2]=>[2,1,5,-7,6,4,3]
[3,4,2,-7,5,6,1]=>[1,6,5,-7,2,4,3]
[6,1,2,3,-7,4,5]=>[5,4,-7,3,2,1,6]
[5,1,2,3,-7,6,4]=>[4,6,-7,3,2,1,5]
[6,1,4,2,-7,3,5]=>[5,3,-7,2,4,1,6]
[6,1,5,2,-7,3,4]=>[4,3,-7,2,5,1,6]
[5,1,4,2,-7,6,3]=>[3,6,-7,2,4,1,5]
[6,4,1,3,-7,2,5]=>[5,2,-7,3,1,4,6]
[6,5,1,3,-7,2,4]=>[4,2,-7,3,1,5,6]
[6,5,4,1,-7,2,3]=>[3,2,-7,1,4,5,6]
[5,4,1,3,-7,6,2]=>[2,6,-7,3,1,4,5]
[4,6,2,3,-7,1,5]=>[5,1,-7,3,2,6,4]
[5,6,2,3,-7,1,4]=>[4,1,-7,3,2,6,5]
[5,6,4,2,-7,1,3]=>[3,1,-7,2,4,6,5]
[4,5,6,3,-7,1,2]=>[2,1,-7,3,6,5,4]
[4,5,2,3,-7,6,1]=>[1,6,-7,3,2,5,4]
[6,1,2,3,4,-7,5]=>[5,-7,4,3,2,1,6]
[6,1,2,5,3,-7,4]=>[4,-7,3,5,2,1,6]
[6,1,5,2,4,-7,3]=>[3,-7,4,2,5,1,6]
[6,5,1,3,4,-7,2]=>[2,-7,4,3,1,5,6]
[5,6,2,3,4,-7,1]=>[1,-7,4,3,2,6,5]
[6,1,2,3,4,5,-7]=>[-7,5,4,3,2,1,6]
[3,4,7,5,-2,-6,1]=>[1,-6,-2,5,7,4,3]
[3,6,4,-2,7,-5,1]=>[1,-5,7,-2,4,6,3]
[3,6,7,4,-2,-5,1]=>[1,-5,-2,4,7,6,3]
[3,4,7,-2,-5,1,6]=>[6,1,-5,-2,7,4,3]
[3,5,-2,1,-7,-6,4]=>[4,-6,-7,1,-2,5,3]
[3,-2,7,4,5,-6,1]=>[1,-6,5,4,7,-2,3]
[7,-2,1,5,-4,-6,3]=>[3,-6,-4,5,1,-2,7]
[5,3,-2,6,7,-4,1]=>[1,-4,7,6,-2,3,5]
[5,3,-2,-4,7,1,6]=>[6,1,7,-4,-2,3,5]
[5,6,3,-2,7,-4,1]=>[1,-4,7,-2,3,6,5]
[-2,4,5,6,7,1,3]=>[3,1,7,6,5,4,-2]
[5,3,7,-2,-4,1,6]=>[6,1,-4,-2,7,3,5]
[7,3,-2,-4,1,-6,5]=>[5,-6,1,-4,-2,3,7]
[7,3,-2,5,-4,-6,1]=>[1,-6,-4,5,-2,3,7]
[6,-2,7,3,5,-4,1]=>[1,-4,5,3,7,-2,6]
[3,-2,7,-4,1,5,6]=>[6,5,1,-4,7,-2,3]
[4,-2,1,-6,7,-5,3]=>[3,-5,7,-6,1,-2,4]
[7,-2,1,4,-6,-5,3]=>[3,-5,-6,4,1,-2,7]
[4,-2,-7,1,-5,3,6]=>[6,3,-5,1,-7,-2,4]
[-2,6,3,4,7,-5,1]=>[1,-5,7,4,3,6,-2]
[7,3,-2,4,-6,-5,1]=>[1,-5,-6,4,-2,3,7]
[7,4,3,-2,-6,-5,1]=>[1,-5,-6,-2,3,4,7]
[-2,3,7,4,-5,1,6]=>[6,1,-5,4,7,3,-2]
[-2,5,1,3,-7,-6,4]=>[4,-6,-7,3,1,5,-2]
[-2,4,-7,1,5,-6,3]=>[3,-6,5,1,-7,4,-2]
[2,3,7,4,5,-6,1]=>[1,-6,5,4,7,3,2]
[-4,1,7,5,-3,-6,2]=>[2,-6,-3,5,7,1,-4]
[-6,1,4,-3,7,-5,2]=>[2,-5,7,-3,4,1,-6]
[-6,1,7,4,-3,-5,2]=>[2,-5,-3,4,7,1,-6]
[7,1,4,-3,-5,2,6]=>[6,2,-5,-3,4,1,7]
[-5,1,-3,2,-7,-6,4]=>[4,-6,-7,2,-3,1,-5]
[-7,-3,1,4,5,-6,2]=>[2,-6,5,4,1,-3,-7]
[2,-4,5,6,7,-3,1]=>[1,-3,7,6,5,-4,2]
[2,-4,5,-3,7,1,6]=>[6,1,7,-3,5,-4,2]
[2,-4,7,-3,1,-6,5]=>[5,-6,1,-3,7,-4,2]
[2,-4,7,5,-3,-6,1]=>[1,-6,-3,5,7,-4,2]
[2,-4,-3,1,7,5,6]=>[6,5,7,1,-3,-4,2]
[5,2,-4,6,7,-3,1]=>[1,-3,7,6,-4,2,5]
[5,2,-4,-3,7,1,6]=>[6,1,7,-3,-4,2,5]
[5,6,7,-4,1,-3,2]=>[2,-3,1,-4,7,6,5]
[5,6,7,2,-4,-3,1]=>[1,-3,-4,2,7,6,5]
[7,2,-4,-3,1,-6,5]=>[5,-6,1,-3,-4,2,7]
[7,2,-4,5,-3,-6,1]=>[1,-6,-3,5,-4,2,7]
[6,-4,7,5,1,-3,2]=>[2,-3,1,5,7,-4,6]
[2,-4,7,-3,1,5,6]=>[6,5,1,-3,7,-4,2]
[2,-6,-3,1,7,-5,4]=>[4,-5,7,1,-3,-6,2]
[-7,2,-3,1,-5,4,6]=>[6,4,-5,1,-3,2,-7]
[2,-6,4,-3,7,-5,1]=>[1,-5,7,-3,4,-6,2]
[2,-6,7,4,-3,-5,1]=>[1,-5,-3,4,7,-6,2]
[-7,2,4,-3,-5,1,6]=>[6,1,-5,-3,4,2,-7]
[-5,6,2,4,7,-3,1]=>[1,-3,7,4,2,6,-5]
[7,2,-6,4,-3,-5,1]=>[1,-5,-3,4,-6,2,7]
[3,6,7,-5,4,1,2]=>[2,1,4,-5,7,6,3]
[-5,2,7,4,-3,1,6]=>[6,1,-3,4,7,2,-5]
[-7,2,-3,1,4,-6,5]=>[5,-6,4,1,-3,2,-7]
[2,-5,-3,1,-7,-6,4]=>[4,-6,-7,1,-3,-5,2]
[-7,2,-3,4,5,-6,1]=>[1,-6,5,4,-3,2,-7]
[-2,6,7,4,5,-3,1]=>[1,-3,5,4,7,6,-2]
[2,7,-3,1,4,5,6]=>[6,5,4,1,-3,7,2]
[7,1,2,5,-4,-6,3]=>[3,-6,-4,5,2,1,7]
[-3,1,-5,6,7,-4,2]=>[2,-4,7,6,-5,1,-3]
[-3,1,-5,-4,7,2,6]=>[6,2,7,-4,-5,1,-3]
[-6,1,3,-5,7,-4,2]=>[2,-4,7,-5,3,1,-6]
[5,-4,1,6,7,2,3]=>[3,2,7,6,1,-4,5]
[7,1,3,-5,-4,2,6]=>[6,2,-4,-5,3,1,7]
[-3,1,-7,-4,2,-6,5]=>[5,-6,2,-4,-7,1,-3]
[-3,1,-7,5,-4,-6,2]=>[2,-6,-4,5,-7,1,-3]
[7,1,-6,3,5,-4,2]=>[2,-4,5,3,-6,1,7]
[-7,-3,1,-4,2,5,6]=>[6,5,2,-4,1,-3,-7]
[5,2,3,6,7,-4,1]=>[1,-4,7,6,3,2,5]
[5,2,3,-4,7,1,6]=>[6,1,7,-4,3,2,5]
[2,-6,3,-5,7,-4,1]=>[1,-4,7,-5,3,-6,2]
[-5,-4,2,6,7,1,3]=>[3,1,7,6,2,-4,-5]
[-7,2,3,-5,-4,1,6]=>[6,1,-4,-5,3,2,-7]
[3,2,-6,-5,7,-4,1]=>[1,-4,7,-5,-6,2,3]
[5,6,-4,3,7,1,2]=>[2,1,7,3,-4,6,5]
[5,6,7,-4,3,1,2]=>[2,1,3,-4,7,6,5]
[3,-7,2,-5,-4,1,6]=>[6,1,-4,-5,2,-7,3]
[7,2,3,-4,1,-6,5]=>[5,-6,1,-4,3,2,7]
[7,2,3,5,-4,-6,1]=>[1,-6,-4,5,3,2,7]
[7,2,3,-6,5,-4,1]=>[1,-4,5,-6,3,2,7]
[7,-3,2,-6,5,-4,1]=>[1,-4,5,-6,2,-3,7]
[2,3,7,-4,1,5,6]=>[6,5,1,-4,7,3,2]
[4,1,2,-6,7,-5,3]=>[3,-5,7,-6,2,1,4]
[7,1,2,4,-6,-5,3]=>[3,-5,-6,4,2,1,7]
[4,1,-7,2,-5,3,6]=>[6,3,-5,2,-7,1,4]
[3,-6,1,4,7,-5,2]=>[2,-5,7,4,1,-6,3]
[-3,1,-7,4,-6,-5,2]=>[2,-5,-6,4,-7,1,-3]
[-4,1,3,-7,-6,-5,2]=>[2,-5,-6,-7,3,1,-4]
[-7,3,1,4,-5,2,6]=>[6,2,-5,4,1,3,-7]
[5,6,3,4,7,-2,1]=>[1,-2,7,4,3,6,5]
[7,2,3,4,-6,-5,1]=>[1,-5,-6,4,3,2,7]
[2,-4,3,-7,-6,-5,1]=>[1,-5,-6,-7,3,-4,2]
[7,3,4,2,-6,-5,1]=>[1,-5,-6,2,4,3,7]
[5,3,7,4,-2,1,6]=>[6,1,-2,4,7,3,5]
[1,5,2,3,-7,-6,4]=>[4,-6,-7,3,2,5,1]
[1,4,-7,2,5,-6,3]=>[3,-6,5,2,-7,4,1]
[7,3,1,4,5,-6,2]=>[2,-6,5,4,1,3,7]
[3,6,7,4,5,-2,1]=>[1,-2,5,4,7,6,3]
[5,4,3,2,1,7,-6]=>[-6,7,1,2,3,4,5]
[5,4,3,1,7,2,-6]=>[-6,2,7,1,3,4,5]
[5,4,2,7,1,3,-6]=>[-6,3,1,7,2,4,5]
[5,4,2,1,3,7,-6]=>[-6,7,3,1,2,4,5]
[5,4,1,7,3,2,-6]=>[-6,2,3,7,1,4,5]
[5,3,7,2,1,4,-6]=>[-6,4,1,2,7,3,5]
[5,3,7,1,4,2,-6]=>[-6,2,4,1,7,3,5]
[5,3,2,4,1,7,-6]=>[-6,7,1,4,2,3,5]
[5,3,2,1,4,7,-6]=>[-6,7,4,1,2,3,5]
[5,3,1,4,7,2,-6]=>[-6,2,7,4,1,3,5]
[5,2,7,4,1,3,-6]=>[-6,3,1,4,7,2,5]
[5,2,7,1,3,4,-6]=>[-6,4,3,1,7,2,5]
[5,2,1,4,3,7,-6]=>[-6,7,3,4,1,2,5]
[5,1,7,4,3,2,-6]=>[-6,2,3,4,7,1,5]
[4,7,3,2,1,5,-6]=>[-6,5,1,2,3,7,4]
[4,7,3,1,5,2,-6]=>[-6,2,5,1,3,7,4]
[4,7,2,5,1,3,-6]=>[-6,3,1,5,2,7,4]
[4,7,2,1,3,5,-6]=>[-6,5,3,1,2,7,4]
[4,7,1,5,3,2,-6]=>[-6,2,3,5,1,7,4]
[4,3,5,2,1,7,-6]=>[-6,7,1,2,5,3,4]
[4,3,5,1,7,2,-6]=>[-6,2,7,1,5,3,4]
[4,3,2,5,1,7,-6]=>[-6,7,1,5,2,3,4]
[4,3,2,1,7,5,-6]=>[-6,5,7,1,2,3,4]
[4,3,1,5,7,2,-6]=>[-6,2,7,5,1,3,4]
[4,2,5,7,1,3,-6]=>[-6,3,1,7,5,2,4]
[4,2,5,1,3,7,-6]=>[-6,7,3,1,5,2,4]
[4,2,1,5,3,7,-6]=>[-6,7,3,5,1,2,4]
[4,1,5,7,3,2,-6]=>[-6,2,3,7,5,1,4]
[3,7,5,2,1,4,-6]=>[-6,4,1,2,5,7,3]
[3,7,5,1,4,2,-6]=>[-6,2,4,1,5,7,3]
[3,7,2,4,1,5,-6]=>[-6,5,1,4,2,7,3]
[3,7,2,1,4,5,-6]=>[-6,5,4,1,2,7,3]
[3,7,1,4,5,2,-6]=>[-6,2,5,4,1,7,3]
[3,2,5,4,1,7,-6]=>[-6,7,1,4,5,2,3]
[3,2,5,1,4,7,-6]=>[-6,7,4,1,5,2,3]
[3,2,1,4,5,7,-6]=>[-6,7,5,4,1,2,3]
[3,1,5,4,7,2,-6]=>[-6,2,7,4,5,1,3]
[2,7,5,4,1,3,-6]=>[-6,3,1,4,5,7,2]
[2,7,5,1,3,4,-6]=>[-6,4,3,1,5,7,2]
[2,7,1,4,3,5,-6]=>[-6,5,3,4,1,7,2]
[2,1,5,4,3,7,-6]=>[-6,7,3,4,5,1,2]
[1,7,5,4,3,2,-6]=>[-6,2,3,4,5,7,1]
[7,4,3,2,1,6,-5]=>[-5,6,1,2,3,4,7]
[7,4,3,1,6,2,-5]=>[-5,2,6,1,3,4,7]
[7,4,2,6,1,3,-5]=>[-5,3,1,6,2,4,7]
[7,4,2,1,3,6,-5]=>[-5,6,3,1,2,4,7]
[7,4,1,6,3,2,-5]=>[-5,2,3,6,1,4,7]
[7,3,6,2,1,4,-5]=>[-5,4,1,2,6,3,7]
[7,3,6,1,4,2,-5]=>[-5,2,4,1,6,3,7]
[7,3,2,4,1,6,-5]=>[-5,6,1,4,2,3,7]
[7,3,2,1,4,6,-5]=>[-5,6,4,1,2,3,7]
[7,3,1,4,6,2,-5]=>[-5,2,6,4,1,3,7]
[7,2,6,4,1,3,-5]=>[-5,3,1,4,6,2,7]
[7,2,6,1,3,4,-5]=>[-5,4,3,1,6,2,7]
[7,2,1,4,3,6,-5]=>[-5,6,3,4,1,2,7]
[7,1,6,4,3,2,-5]=>[-5,2,3,4,6,1,7]
[4,6,3,2,1,7,-5]=>[-5,7,1,2,3,6,4]
[4,6,3,1,7,2,-5]=>[-5,2,7,1,3,6,4]
[4,6,2,7,1,3,-5]=>[-5,3,1,7,2,6,4]
[4,6,2,1,3,7,-5]=>[-5,7,3,1,2,6,4]
[4,6,1,7,3,2,-5]=>[-5,2,3,7,1,6,4]
[4,3,6,2,1,7,-5]=>[-5,7,1,2,6,3,4]
[4,3,6,1,7,2,-5]=>[-5,2,7,1,6,3,4]
[4,3,2,7,1,6,-5]=>[-5,6,1,7,2,3,4]
[4,3,2,1,6,7,-5]=>[-5,7,6,1,2,3,4]
[4,3,1,7,6,2,-5]=>[-5,2,6,7,1,3,4]
[4,2,6,7,1,3,-5]=>[-5,3,1,7,6,2,4]
[4,2,6,1,3,7,-5]=>[-5,7,3,1,6,2,4]
[4,2,1,7,3,6,-5]=>[-5,6,3,7,1,2,4]
[4,1,6,7,3,2,-5]=>[-5,2,3,7,6,1,4]
[3,6,7,2,1,4,-5]=>[-5,4,1,2,7,6,3]
[3,6,7,1,4,2,-5]=>[-5,2,4,1,7,6,3]
[3,6,2,4,1,7,-5]=>[-5,7,1,4,2,6,3]
[3,6,2,1,4,7,-5]=>[-5,7,4,1,2,6,3]
[3,6,1,4,7,2,-5]=>[-5,2,7,4,1,6,3]
[3,2,6,4,1,7,-5]=>[-5,7,1,4,6,2,3]
[3,2,6,1,4,7,-5]=>[-5,7,4,1,6,2,3]
[3,2,1,4,7,6,-5]=>[-5,6,7,4,1,2,3]
[3,1,6,4,7,2,-5]=>[-5,2,7,4,6,1,3]
[2,6,7,4,1,3,-5]=>[-5,3,1,4,7,6,2]
[2,6,7,1,3,4,-5]=>[-5,4,3,1,7,6,2]
[2,6,1,4,3,7,-5]=>[-5,7,3,4,1,6,2]
[2,1,6,4,3,7,-5]=>[-5,7,3,4,6,1,2]
[7,6,3,2,1,5,-4]=>[-4,5,1,2,3,6,7]
[7,6,3,1,5,2,-4]=>[-4,2,5,1,3,6,7]
[7,6,2,5,1,3,-4]=>[-4,3,1,5,2,6,7]
[7,6,2,1,3,5,-4]=>[-4,5,3,1,2,6,7]
[7,6,1,5,3,2,-4]=>[-4,2,3,5,1,6,7]
[7,3,5,2,1,6,-4]=>[-4,6,1,2,5,3,7]
[7,3,5,1,6,2,-4]=>[-4,2,6,1,5,3,7]
[7,3,2,5,1,6,-4]=>[-4,6,1,5,2,3,7]
[7,3,2,1,6,5,-4]=>[-4,5,6,1,2,3,7]
[7,3,1,5,6,2,-4]=>[-4,2,6,5,1,3,7]
[7,2,5,6,1,3,-4]=>[-4,3,1,6,5,2,7]
[7,2,5,1,3,6,-4]=>[-4,6,3,1,5,2,7]
[7,2,1,5,3,6,-4]=>[-4,6,3,5,1,2,7]
[7,1,5,6,3,2,-4]=>[-4,2,3,6,5,1,7]
[3,6,5,2,1,7,-4]=>[-4,7,1,2,5,6,3]
[3,6,5,1,7,2,-4]=>[-4,2,7,1,5,6,3]
[3,6,2,5,1,7,-4]=>[-4,7,1,5,2,6,3]
[3,6,2,1,7,5,-4]=>[-4,5,7,1,2,6,3]
[3,6,1,5,7,2,-4]=>[-4,2,7,5,1,6,3]
[3,2,5,6,1,7,-4]=>[-4,7,1,6,5,2,3]
[3,2,5,1,7,6,-4]=>[-4,6,7,1,5,2,3]
[3,2,1,5,7,6,-4]=>[-4,6,7,5,1,2,3]
[3,1,5,6,7,2,-4]=>[-4,2,7,6,5,1,3]
[2,6,5,7,1,3,-4]=>[-4,3,1,7,5,6,2]
[2,6,5,1,3,7,-4]=>[-4,7,3,1,5,6,2]
[2,6,1,5,3,7,-4]=>[-4,7,3,5,1,6,2]
[2,1,5,6,3,7,-4]=>[-4,7,3,6,5,1,2]
[1,6,5,7,3,2,-4]=>[-4,2,3,7,5,6,1]
[7,6,5,2,1,4,-3]=>[-3,4,1,2,5,6,7]
[7,6,5,1,4,2,-3]=>[-3,2,4,1,5,6,7]
[7,6,2,4,1,5,-3]=>[-3,5,1,4,2,6,7]
[7,6,2,1,4,5,-3]=>[-3,5,4,1,2,6,7]
[7,6,1,4,5,2,-3]=>[-3,2,5,4,1,6,7]
[7,2,5,4,1,6,-3]=>[-3,6,1,4,5,2,7]
[7,2,5,1,4,6,-3]=>[-3,6,4,1,5,2,7]
[7,1,5,4,6,2,-3]=>[-3,2,6,4,5,1,7]
[2,6,5,4,1,7,-3]=>[-3,7,1,4,5,6,2]
[2,6,5,1,4,7,-3]=>[-3,7,4,1,5,6,2]
[2,6,1,4,5,7,-3]=>[-3,7,5,4,1,6,2]
[2,1,5,4,6,7,-3]=>[-3,7,6,4,5,1,2]
[1,6,5,4,7,2,-3]=>[-3,2,7,4,5,6,1]
[7,6,5,4,1,3,-2]=>[-2,3,1,4,5,6,7]
[7,6,5,1,3,4,-2]=>[-2,4,3,1,5,6,7]
[7,6,1,4,3,5,-2]=>[-2,5,3,4,1,6,7]
[7,1,5,4,3,6,-2]=>[-2,6,3,4,5,1,7]
[1,6,5,4,3,7,-2]=>[-2,7,3,4,5,6,1]
[7,6,5,4,3,2,-1]=>[-1,2,3,4,5,6,7]
[1,-3,-4,-5,-6,-7,2]=>[2,-7,-6,-5,-4,-3,1]
[-2,-5,-6,-7,4,1,3]=>[3,1,4,-7,-6,-5,-2]
[-5,-3,-6,4,1,-7,2]=>[2,-7,1,4,-6,-3,-5]
[-4,-5,-6,1,2,-7,3]=>[3,-7,2,1,-6,-5,-4]
[-5,2,-6,-7,-3,1,4]=>[4,1,-3,-7,-6,2,-5]
[-5,-6,3,1,-4,-7,2]=>[2,-7,-4,1,3,-6,-5]
[-4,6,-7,2,5,1,3]=>[3,1,5,2,-7,6,-4]
[-3,-5,1,4,-6,-7,2]=>[2,-7,-6,4,1,-5,-3]
[-4,-5,1,2,-6,-7,3]=>[3,-7,-6,2,1,-5,-4]
[-6,-2,-7,3,5,1,4]=>[4,1,5,3,-7,-2,-6]
[-3,5,-6,-7,1,-4,2]=>[2,-4,1,-7,-6,5,-3]
[-4,6,1,5,2,-7,3]=>[3,-7,2,5,1,6,-4]
[1,-5,-6,-3,2,-7,4]=>[4,-7,2,-3,-6,-5,1]
[2,-6,-3,-7,-4,1,5]=>[5,1,-4,-7,-3,-6,2]
[-4,3,1,-6,-7,-5,2]=>[2,-5,-7,-6,1,3,-4]
[6,-7,2,-5,4,1,3]=>[3,1,4,-5,2,-7,6]
[3,-7,6,4,1,-5,2]=>[2,-5,1,4,6,-7,3]
[6,1,-7,4,2,-5,3]=>[3,-5,2,4,-7,1,6]
[-3,2,-7,-5,6,1,4]=>[4,1,6,-5,-7,2,-3]
[-5,1,3,-4,-6,-7,2]=>[2,-7,-6,-4,3,1,-5]
[-6,-2,4,-7,5,1,3]=>[3,1,5,-7,4,-2,-6]
[-3,1,4,-5,-6,-7,2]=>[2,-7,-6,-5,4,1,-3]
[-2,4,1,-5,-6,-7,3]=>[3,-7,-6,-5,1,4,-2]
[-2,-6,3,-7,5,1,4]=>[4,1,5,-7,3,-6,-2]
[-4,-3,6,5,1,-7,2]=>[2,-7,1,5,6,-3,-4]
[-6,-4,1,5,2,-7,3]=>[3,-7,2,5,1,-4,-6]
[-3,-6,1,5,2,-7,4]=>[4,-7,2,5,1,-6,-3]
[-4,2,6,-7,-3,1,5]=>[5,1,-3,-7,6,2,-4]
[-6,3,-4,1,-7,-5,2]=>[2,-5,-7,1,-4,3,-6]
[4,-7,-5,2,6,1,3]=>[3,1,6,2,-5,-7,4]
[6,1,3,4,-7,-5,2]=>[2,-5,-7,4,3,1,6]
[6,1,4,2,-7,-5,3]=>[3,-5,-7,2,4,1,6]
[2,3,-5,7,6,1,4]=>[4,1,6,7,-5,3,2]
[1,-3,-6,5,-4,-7,2]=>[2,-7,-4,5,-6,-3,1]
[1,-5,-6,2,-4,-7,3]=>[3,-7,-4,2,-6,-5,1]
[5,1,2,3,-6,-7,4]=>[4,-7,-6,3,2,1,5]
[3,-7,-2,-4,6,1,5]=>[5,1,6,-4,-2,-7,3]
[6,-3,-7,-4,1,-5,2]=>[2,-5,1,-4,-7,-3,6]
[-7,4,6,1,2,-5,3]=>[3,-5,2,1,6,4,-7]
[3,6,1,-7,2,-5,4]=>[4,-5,2,-7,1,6,3]
[1,-3,-6,-4,2,-7,5]=>[5,-7,2,-4,-6,-3,1]
[2,-3,-7,-4,-5,1,6]=>[6,1,-5,-4,-7,-3,2]
[-3,1,-4,-5,-7,-6,2]=>[2,-6,-7,-5,-4,1,-3]
[-5,-2,-7,-6,4,1,3]=>[3,1,4,-6,-7,-2,-5]
[-5,-7,-3,4,1,-6,2]=>[2,-6,1,4,-3,-7,-5]
[4,-5,-7,1,2,-6,3]=>[3,-6,2,1,-7,-5,4]
[5,2,-7,-6,-3,1,4]=>[4,1,-3,-6,-7,2,5]
[-5,-7,3,1,-6,-4,2]=>[2,-4,-6,1,3,-7,-5]
[-6,7,-4,2,5,1,3]=>[3,1,5,2,-4,7,-6]
[3,-5,1,4,-7,-6,2]=>[2,-6,-7,4,1,-5,3]
[4,-5,1,2,-7,-6,3]=>[3,-6,-7,2,1,-5,4]
[-7,2,-6,3,5,1,4]=>[4,1,5,3,-6,2,-7]
[3,5,-7,-6,1,-4,2]=>[2,-4,1,-6,-7,5,3]
[4,7,1,5,2,-6,3]=>[3,-6,2,5,1,7,4]
[-3,-5,-7,1,2,-6,4]=>[4,-6,2,1,-7,-5,-3]
[-3,-7,2,-6,-4,1,5]=>[5,1,-4,-6,2,-7,-3]
[1,3,-4,-6,-5,-7,2]=>[2,-7,-5,-6,-4,3,1]
[-2,6,-5,-7,4,1,3]=>[3,1,4,-7,-5,6,-2]
[-5,6,-3,4,1,-7,2]=>[2,-7,1,4,-3,6,-5]
[-6,1,-5,4,2,-7,3]=>[3,-7,2,4,-5,1,-6]
[2,-5,6,-7,-3,1,4]=>[4,1,-3,-7,6,-5,2]
[1,3,-5,-4,-6,-7,2]=>[2,-7,-6,-4,-5,3,1]
[-2,4,-6,-7,5,1,3]=>[3,1,5,-7,-6,4,-2]
[-4,1,-3,-5,-6,-7,2]=>[2,-7,-6,-5,-3,1,-4]
[1,2,-4,-5,-6,-7,3]=>[3,-7,-6,-5,-4,2,1]
[-2,-3,-6,-7,5,1,4]=>[4,1,5,-7,-6,-3,-2]
[6,-4,-3,5,1,-7,2]=>[2,-7,1,5,-3,-4,6]
[1,-6,-4,5,2,-7,3]=>[3,-7,2,5,-4,-6,1]
[5,1,-6,-3,2,-7,4]=>[4,-7,2,-3,-6,1,5]
[2,6,-4,-7,-3,1,5]=>[5,1,-3,-7,-4,6,2]
[6,-7,3,1,-5,-4,2]=>[2,-4,-5,1,3,-7,6]
[5,7,-4,2,6,1,3]=>[3,1,6,2,-4,7,5]
[1,-6,3,4,-7,-5,2]=>[2,-5,-7,4,3,-6,1]
[1,-6,4,2,-7,-5,3]=>[3,-5,-7,2,4,-6,1]
[-2,7,-5,3,6,1,4]=>[4,1,6,3,-5,7,-2]
[1,-6,3,5,-4,-7,2]=>[2,-7,-4,5,3,-6,1]
[1,-6,5,2,-4,-7,3]=>[3,-7,-4,2,5,-6,1]
[-2,-5,1,3,-6,-7,4]=>[4,-7,-6,3,1,-5,-2]
[-2,7,3,-4,6,1,5]=>[5,1,6,-4,3,7,-2]
[7,6,-3,-5,1,-4,2]=>[2,-4,1,-5,-3,6,7]
[5,7,1,6,2,-4,3]=>[3,-4,2,6,1,7,5]
[1,-6,3,-7,2,-5,4]=>[4,-5,2,-7,3,-6,1]
[1,-6,3,-4,2,-7,5]=>[5,-7,2,-4,3,-6,1]
[-3,-4,1,-7,-5,-6,2]=>[2,-6,-5,-7,1,-4,-3]
[-7,-5,-2,-6,4,1,3]=>[3,1,4,-6,-2,-5,-7]
[-7,-5,-6,4,1,-3,2]=>[2,-3,1,4,-6,-5,-7]
[-7,4,-5,1,2,-6,3]=>[3,-6,2,1,-5,4,-7]
[7,-3,-5,-6,2,1,4]=>[4,1,2,-6,-5,-3,7]
[5,1,3,-4,-7,-6,2]=>[2,-6,-7,-4,3,1,5]
[-7,2,4,-6,5,1,3]=>[3,1,5,-6,4,2,-7]
[3,1,4,-5,-7,-6,2]=>[2,-6,-7,-5,4,1,3]
[-2,-4,1,-5,-7,-6,3]=>[3,-6,-7,-5,1,-4,-2]
[2,-7,3,-6,5,1,4]=>[4,1,5,-6,3,-7,2]
[4,-3,7,5,1,-6,2]=>[2,-6,1,5,7,-3,4]
[7,-4,1,5,2,-6,3]=>[3,-6,2,5,1,-4,7]
[3,-7,1,5,2,-6,4]=>[4,-6,2,5,1,-7,3]
[4,2,7,-6,-3,1,5]=>[5,1,-3,-6,7,2,4]
[1,-6,3,-4,-5,-7,2]=>[2,-7,-5,-4,3,-6,1]
[-2,-5,4,-7,6,1,3]=>[3,1,6,-7,4,-5,-2]
[1,-3,4,-6,-5,-7,2]=>[2,-7,-5,-6,4,-3,1]
[4,-2,1,-6,-5,-7,3]=>[3,-7,-5,-6,1,-2,4]
[3,-5,-2,-7,6,1,4]=>[4,1,6,-7,-2,-5,3]
[1,4,5,-3,-6,-7,2]=>[2,-7,-6,-3,5,4,1]
[-2,1,5,-4,-6,-7,3]=>[3,-7,-6,-4,5,1,-2]
[-2,1,3,-5,-6,-7,4]=>[4,-7,-6,-5,3,1,-2]
[7,-4,-3,6,1,-5,2]=>[2,-5,1,6,-3,-4,7]
[1,-7,-4,6,2,-5,3]=>[3,-5,2,6,-4,-7,1]
[1,-3,-7,6,2,-5,4]=>[4,-5,2,6,-7,-3,1]
[1,4,-3,6,2,-7,5]=>[5,-7,2,6,-3,4,1]
[-4,7,2,-3,-5,1,6]=>[6,1,-5,-3,2,7,-4]
[-3,-7,-4,1,-5,-6,2]=>[2,-6,-5,1,-4,-7,-3]
[-4,-5,-6,-2,7,1,3]=>[3,1,7,-2,-6,-5,-4]
[-7,3,1,4,-5,-6,2]=>[2,-6,-5,4,1,3,-7]
[-7,4,1,2,-5,-6,3]=>[3,-6,-5,2,1,4,-7]
[5,2,-6,3,7,1,4]=>[4,1,7,3,-6,2,5]
[3,1,-4,5,-7,-6,2]=>[2,-6,-7,5,-4,1,3]
[5,1,-4,2,-7,-6,3]=>[3,-6,-7,2,-4,1,5]
[2,3,-6,-4,7,1,5]=>[5,1,7,-4,-6,3,2]
[1,-3,-4,6,-5,-7,2]=>[2,-7,-5,6,-4,-3,1]
[1,-6,-4,2,-5,-7,3]=>[3,-7,-5,2,-4,-6,1]
[-6,1,2,3,-5,-7,4]=>[4,-7,-5,3,2,1,-6]
[1,2,-4,3,-6,-7,5]=>[5,-7,-6,3,-4,2,1]
[3,-2,-4,-5,7,1,6]=>[6,1,7,-5,-4,-2,3]
[-7,-3,-4,-5,1,-6,2]=>[2,-6,1,-5,-4,-3,-7]
[-7,3,1,-5,2,-6,4]=>[4,-6,2,-5,1,3,-7]
[3,1,-4,-7,2,-6,5]=>[5,-6,2,-7,-4,1,3]
[1,-3,-4,-5,2,-7,6]=>[6,-7,2,-5,-4,-3,1]
[-2,-3,-4,-5,-6,1,7]=>[7,1,-6,-5,-4,-3,-2]
[5,7,-6,-4,-3,-2,1]=>[1,-2,-3,-4,-6,7,5]
[4,7,-6,-5,-3,-2,1]=>[1,-2,-3,-5,-6,7,4]
[4,6,7,-5,-3,-2,1]=>[1,-2,-3,-5,7,6,4]
[-5,4,-7,-3,-2,1,6]=>[6,1,-2,-3,-7,4,-5]
[3,5,7,-6,-2,1,4]=>[4,1,-2,-6,7,5,3]
[-7,4,5,-6,-3,-2,1]=>[1,-2,-3,-6,5,4,-7]
[2,5,7,-6,-4,1,3]=>[3,1,-4,-6,7,5,2]
[3,7,-6,-5,-4,-2,1]=>[1,-2,-4,-5,-6,7,3]
[3,5,7,-4,-2,1,6]=>[6,1,-2,-4,7,5,3]
[3,6,7,-5,-4,-2,1]=>[1,-2,-4,-5,7,6,3]
[-7,3,5,-4,-2,1,6]=>[6,1,-2,-4,5,3,-7]
[-4,3,-7,-6,-2,1,5]=>[5,1,-2,-6,-7,3,-4]
[-7,3,5,-6,-4,-2,1]=>[1,-2,-4,-6,5,3,-7]
[-7,-5,3,-6,-4,-2,1]=>[1,-2,-4,-6,3,-5,-7]
[-4,2,3,-7,1,5,6]=>[6,5,1,-7,3,2,-4]
[2,4,7,-6,-5,1,3]=>[3,1,-5,-6,7,4,2]
[2,4,6,7,-5,1,3]=>[3,1,-5,7,6,4,2]
[-7,2,4,-5,1,3,6]=>[6,3,1,-5,4,2,-7]
[-7,3,4,-6,-5,-2,1]=>[1,-2,-5,-6,4,3,-7]
[-6,3,4,7,-5,-2,1]=>[1,-2,-5,7,4,3,-6]
[-7,-6,-4,3,-5,-2,1]=>[1,-2,-5,3,-4,-6,-7]
[5,3,4,-7,-2,1,6]=>[6,1,-2,-7,4,3,5]
[-2,5,7,-6,1,3,4]=>[4,3,1,-6,7,5,-2]
[-7,2,4,5,-6,1,3]=>[3,1,-6,5,4,2,-7]
[7,3,4,5,-6,-2,1]=>[1,-2,-6,5,4,3,7]
[-7,5,-6,-4,-3,1,2]=>[2,1,-3,-4,-6,5,-7]
[-7,4,-6,-5,-3,1,2]=>[2,1,-3,-5,-6,4,-7]
[-6,4,7,-5,-3,1,2]=>[2,1,-3,-5,7,4,-6]
[5,4,-7,-3,1,2,6]=>[6,2,1,-3,-7,4,5]
[7,5,-6,-3,1,2,4]=>[4,2,1,-3,-6,5,7]
[7,4,5,-6,-3,1,2]=>[2,1,-3,-6,5,4,7]
[2,7,-6,-5,-4,-3,1]=>[1,-3,-4,-5,-6,7,2]
[-5,2,-7,-4,-3,1,6]=>[6,1,-3,-4,-7,2,-5]
[2,6,7,-4,-3,1,5]=>[5,1,-3,-4,7,6,2]
[-7,2,5,-6,-4,-3,1]=>[1,-3,-4,-6,5,2,-7]
[-7,2,4,-3,1,5,6]=>[6,5,1,-3,4,2,-7]
[2,6,7,-5,-4,-3,1]=>[1,-3,-4,-5,7,6,2]
[2,4,5,7,-3,1,6]=>[6,1,-3,7,5,4,2]
[4,5,6,7,-3,1,2]=>[2,1,-3,7,6,5,4]
[2,4,5,6,7,-3,1]=>[1,-3,7,6,5,4,2]
[-7,3,4,5,1,2,6]=>[6,2,1,5,4,3,-7]
[-4,2,7,-6,-3,1,5]=>[5,1,-3,-6,7,2,-4]
[-7,-5,2,-6,-4,-3,1]=>[1,-3,-4,-6,2,-5,-7]
[-7,-6,4,5,-3,1,2]=>[2,1,-3,5,4,-6,-7]
[-4,-3,2,-7,1,5,6]=>[6,5,1,-7,2,-3,-4]
[-3,2,-7,-6,-5,1,4]=>[4,1,-5,-6,-7,2,-3]
[-3,2,7,-5,1,4,6]=>[6,4,1,-5,7,2,-3]
[-7,2,4,-6,-5,-3,1]=>[1,-3,-5,-6,4,2,-7]
[-6,2,4,7,-5,-3,1]=>[1,-3,-5,7,4,2,-6]
[-7,-4,2,-5,-3,1,6]=>[6,1,-3,-5,2,-4,-7]
[-7,-4,2,-6,-5,-3,1]=>[1,-3,-5,-6,2,-4,-7]
[-7,-6,2,4,-5,-3,1]=>[1,-3,-5,4,2,-6,-7]
[-7,-6,-5,3,4,1,2]=>[2,1,4,3,-5,-6,-7]
[4,-5,2,-7,-3,1,6]=>[6,1,-3,-7,2,-5,4]
[3,2,-7,-6,1,4,5]=>[5,4,1,-6,-7,2,3]
[-3,2,5,7,-6,1,4]=>[4,1,-6,7,5,2,-3]
[7,2,4,5,-6,-3,1]=>[1,-3,-6,5,4,2,7]
[4,-7,2,5,-6,-3,1]=>[1,-3,-6,5,2,-7,4]
[1,5,7,-6,-4,2,3]=>[3,2,-4,-6,7,5,1]
[-7,3,-6,-5,-4,1,2]=>[2,1,-4,-5,-6,3,-7]
[-5,3,7,-4,1,2,6]=>[6,2,1,-4,7,3,-5]
[-6,3,7,-5,-4,1,2]=>[2,1,-4,-5,7,3,-6]
[-4,5,6,7,1,2,3]=>[3,2,1,7,6,5,-4]
[7,3,5,-4,1,2,6]=>[6,2,1,-4,5,3,7]
[7,3,-6,-4,1,2,5]=>[5,2,1,-4,-6,3,7]
[7,3,5,-6,-4,1,2]=>[2,1,-4,-6,5,3,7]
[5,-7,3,-6,-4,1,2]=>[2,1,-4,-6,3,-7,5]
[3,-4,-7,1,2,5,6]=>[6,5,2,1,-7,-4,3]
[-7,2,3,-6,-5,-4,1]=>[1,-4,-5,-6,3,2,-7]
[-5,2,3,7,-4,1,6]=>[6,1,-4,7,3,2,-5]
[-6,2,3,7,-5,-4,1]=>[1,-4,-5,7,3,2,-6]
[-6,-5,2,7,-4,1,3]=>[3,1,-4,7,2,-5,-6]
[-7,-5,2,3,-4,1,6]=>[6,1,-4,3,2,-5,-7]
[-7,-6,-3,2,-5,-4,1]=>[1,-4,-5,2,-3,-6,-7]
[-6,-5,-4,3,7,1,2]=>[2,1,7,3,-4,-5,-6]
[-7,-6,-5,-4,3,1,2]=>[2,1,3,-4,-5,-6,-7]
[4,2,3,-7,-6,1,5]=>[5,1,-6,-7,3,2,4]
[7,2,3,5,-6,-4,1]=>[1,-4,-6,5,3,2,7]
[5,-7,2,3,-6,-4,1]=>[1,-4,-6,3,2,-7,5]
[3,7,-5,2,-6,-4,1]=>[1,-4,-6,2,-5,7,3]
[2,-4,3,-7,1,5,6]=>[6,5,1,-7,3,-4,2]
[1,4,7,-6,-5,2,3]=>[3,2,-5,-6,7,4,1]
[1,4,6,7,-5,2,3]=>[3,2,-5,7,6,4,1]
[7,-4,-5,1,2,3,6]=>[6,3,2,1,-5,-4,7]
[7,3,4,-6,-5,1,2]=>[2,1,-5,-6,4,3,7]
[6,3,4,7,-5,1,2]=>[2,1,-5,7,4,3,6]
[3,-7,4,-5,1,2,6]=>[6,2,1,-5,4,-7,3]
[6,2,3,4,7,-5,1]=>[1,-5,7,4,3,2,6]
[4,-7,-6,2,3,-5,1]=>[1,-5,3,2,-6,-7,4]
[4,7,-6,-3,2,-5,1]=>[1,-5,2,-3,-6,7,4]
[2,-5,3,4,-7,1,6]=>[6,1,-7,4,3,-5,2]
[-7,1,4,5,-6,2,3]=>[3,2,-6,5,4,1,-7]
[3,-7,4,5,-6,1,2]=>[2,1,-6,5,4,-7,3]
[2,-7,3,4,5,-6,1]=>[1,-6,5,4,3,-7,2]
[1,2,4,5,7,-6,3]=>[3,-6,7,5,4,2,1]
[1,2,4,6,-5,7,3]=>[3,7,-5,6,4,2,1]
[1,2,3,6,7,5,-4]=>[-4,5,7,6,3,2,1]
[1,3,4,7,-6,2,5]=>[5,2,-6,7,4,3,1]
[1,2,5,-4,6,7,3]=>[3,7,6,-4,5,2,1]
[2,3,5,-4,7,-6,1]=>[1,-6,7,-4,5,3,2]
[1,3,5,6,4,7,-2]=>[-2,7,4,6,5,3,1]
[1,3,4,6,7,5,-2]=>[-2,5,7,6,4,3,1]
[1,3,5,7,-4,-6,2]=>[2,-6,-4,7,5,3,1]
[2,3,6,-4,1,7,5]=>[5,7,1,-4,6,3,2]
[1,3,6,-5,7,2,-4]=>[-4,2,7,-5,6,3,1]
[1,3,6,7,4,5,-2]=>[-2,5,4,7,6,3,1]
[2,3,7,-6,1,4,5]=>[5,4,1,-6,7,3,2]
[1,4,-2,5,6,7,3]=>[3,7,6,5,-2,4,1]
[2,4,-3,5,7,-6,1]=>[1,-6,7,5,-3,4,2]
[2,4,-3,6,-5,7,1]=>[1,7,-5,6,-3,4,2]
[1,5,-3,6,7,2,-4]=>[-4,2,7,6,-3,5,1]
[2,4,-3,7,-6,-1,5]=>[5,-1,-6,7,-3,4,2]
[1,4,5,3,7,-6,-2]=>[-2,-6,7,3,5,4,1]
[1,4,5,7,-2,-6,3]=>[3,-6,-2,7,5,4,1]
[1,4,6,-3,-5,7,2]=>[2,7,-5,-3,6,4,1]
[3,5,6,7,1,2,-4]=>[-4,2,1,7,6,5,3]
[2,4,7,-3,-6,1,5]=>[5,1,-6,-3,7,4,2]
[2,4,-3,-1,6,7,5]=>[5,7,6,-1,-3,4,2]
[2,5,-4,-1,7,-6,3]=>[3,-6,7,-1,-4,5,2]
[3,5,-4,6,1,7,-2]=>[-2,7,1,6,-4,5,3]
[1,5,-4,6,7,3,-2]=>[-2,3,7,6,-4,5,1]
[2,5,-3,7,-4,-6,-1]=>[-1,-6,-4,7,-3,5,2]
[3,4,6,7,5,-1,-2]=>[-2,-1,5,7,6,4,3]
[2,6,-4,-1,3,7,5]=>[5,7,3,-1,-4,6,2]
[2,6,-3,-1,7,5,-4]=>[-4,5,7,-1,-3,6,2]
[4,6,-2,7,1,5,-3]=>[-3,5,1,7,-2,6,4]
[2,6,7,-1,4,5,3]=>[3,5,4,-1,7,6,2]
[2,7,-6,-1,3,4,5]=>[5,4,3,-1,-6,7,2]
[2,-1,3,4,6,7,5]=>[5,7,6,4,3,-1,2]
[2,-1,4,5,7,-6,3]=>[3,-6,7,5,4,-1,2]
[2,-1,4,6,-5,7,3]=>[3,7,-5,6,4,-1,2]
[2,-1,3,6,7,5,-4]=>[-4,5,7,6,3,-1,2]
[3,-1,4,7,-6,2,5]=>[5,2,-6,7,4,-1,3]
[2,-1,5,-4,6,7,3]=>[3,7,6,-4,5,-1,2]
[3,-2,5,-4,7,-6,1]=>[1,-6,7,-4,5,-2,3]
[3,-1,5,6,4,7,-2]=>[-2,7,4,6,5,-1,3]
[3,-1,4,6,7,5,-2]=>[-2,5,7,6,4,-1,3]
[3,-1,5,7,-4,-6,2]=>[2,-6,-4,7,5,-1,3]
[3,-2,6,-4,1,7,5]=>[5,7,1,-4,6,-2,3]
[3,-1,6,-5,7,2,-4]=>[-4,2,7,-5,6,-1,3]
[3,-1,6,7,4,5,-2]=>[-2,5,4,7,6,-1,3]
[3,-2,7,-6,1,4,5]=>[5,4,1,-6,7,-2,3]
[3,4,2,5,7,-6,1]=>[1,-6,7,5,2,4,3]
[3,4,2,6,-5,7,1]=>[1,7,-5,6,2,4,3]
[3,4,2,7,-6,-1,5]=>[5,-1,-6,7,2,4,3]
[2,4,5,3,7,-6,1]=>[1,-6,7,3,5,4,2]
[1,4,5,7,-6,2,3]=>[3,2,-6,7,5,4,1]
[2,4,6,-1,-5,7,3]=>[3,7,-5,-1,6,4,2]
[2,5,6,1,7,3,-4]=>[-4,3,7,1,6,5,2]
[1,3,6,7,-4,5,2]=>[2,5,-4,7,6,3,1]
[3,4,7,-1,-6,2,5]=>[5,2,-6,-1,7,4,3]
[3,5,-1,-4,6,7,2]=>[2,7,6,-4,-1,5,3]
[3,5,-2,-4,7,-6,-1]=>[-1,-6,7,-4,-2,5,3]
[3,5,-4,6,2,7,1]=>[1,7,2,6,-4,5,3]
[2,5,-4,6,7,3,1]=>[1,3,7,6,-4,5,2]
[3,5,-4,7,-2,-6,-1]=>[-1,-6,-2,7,-4,5,3]
[4,5,6,-3,2,7,1]=>[1,7,2,-3,6,5,4]
[4,5,6,-2,7,3,1]=>[1,3,7,-2,6,5,4]
[2,4,6,7,5,-1,3]=>[3,-1,5,7,6,4,2]
[3,5,7,-6,-2,-4,-1]=>[-1,-4,-2,-6,7,5,3]
[3,6,-2,-4,-1,7,5]=>[5,7,-1,-4,-2,6,3]
[3,6,-2,-5,7,1,-4]=>[-4,1,7,-5,-2,6,3]
[3,6,-4,7,2,5,1]=>[1,5,2,7,-4,6,3]
[4,6,7,-3,2,5,1]=>[1,5,2,-3,7,6,4]
[3,7,-2,-6,-1,4,5]=>[5,4,-1,-6,-2,7,3]
[3,-2,1,4,6,7,5]=>[5,7,6,4,1,-2,3]
[4,-2,1,5,7,-6,3]=>[3,-6,7,5,1,-2,4]
[4,-2,1,6,-5,7,3]=>[3,7,-5,6,1,-2,4]
[3,-2,1,6,7,5,-4]=>[-4,5,7,6,1,-2,3]
[4,-3,1,7,-6,2,5]=>[5,2,-6,7,1,-3,4]
[4,-2,5,3,6,7,1]=>[1,7,6,3,5,-2,4]
[4,-1,5,3,7,-6,-2]=>[-2,-6,7,3,5,-1,4]
[3,-2,5,6,4,7,1]=>[1,7,4,6,5,-2,3]
[2,-1,3,6,7,4,5]=>[5,4,7,6,3,-1,2]
[4,-1,5,7,-2,-6,3]=>[3,-6,-2,7,5,-1,4]
[4,-1,6,-3,-5,7,2]=>[2,7,-5,-3,6,-1,4]
[5,-3,6,-1,7,2,-4]=>[-4,2,7,-1,6,-3,5]
[5,-3,6,7,1,2,-4]=>[-4,2,1,7,6,-3,5]
[4,-2,7,-3,-6,1,5]=>[5,1,-6,-3,7,-2,4]
[4,5,2,3,7,-6,1]=>[1,-6,7,3,2,5,4]
[4,5,2,7,1,-6,3]=>[3,-6,1,7,2,5,4]
[4,5,7,-1,-2,-6,3]=>[3,-6,-2,-1,7,5,4]
[4,6,-2,1,-5,7,3]=>[3,7,-5,1,-2,6,4]
[3,6,-2,1,7,5,-4]=>[-4,5,7,1,-2,6,3]
[3,6,-1,7,2,5,-4]=>[-4,5,2,7,-1,6,3]
[5,6,7,-1,-4,3,-2]=>[-2,3,-4,-1,7,6,5]
[4,7,-3,1,-6,2,5]=>[5,2,-6,1,-3,7,4]
[4,-3,1,2,6,7,5]=>[5,7,6,2,1,-3,4]
[5,-4,1,2,7,-6,3]=>[3,-6,7,2,1,-4,5]
[5,-3,1,6,4,7,-2]=>[-2,7,4,6,1,-3,5]
[4,-3,1,6,7,5,-2]=>[-2,5,7,6,1,-3,4]
[5,-3,1,7,-4,-6,2]=>[2,-6,-4,7,1,-3,5]
[5,-2,6,3,4,7,1]=>[1,7,4,3,6,-2,5]
[4,-2,6,3,7,5,1]=>[1,5,7,3,6,-2,4]
[4,-3,6,7,5,-1,-2]=>[-2,-1,5,7,6,-3,4]
[5,-1,7,-4,2,-6,3]=>[3,-6,2,-4,7,-1,5]
[4,6,1,7,5,3,-2]=>[-2,3,5,7,1,6,4]
[5,7,-6,1,2,-4,3]=>[3,-4,2,1,-6,7,5]
[6,-4,1,2,3,7,5]=>[5,7,3,2,1,-4,6]
[6,-3,1,2,7,5,-4]=>[-4,5,7,2,1,-3,6]
[6,-3,1,7,4,5,-2]=>[-2,5,4,7,1,-3,6]
[6,2,7,3,4,5,-1]=>[-1,5,4,3,7,2,6]
[7,-6,1,2,3,4,5]=>[5,4,3,2,1,-6,7]
[-3,2,-6,-4,-5,1,7]=>[7,1,-5,-4,-6,2,-3]
[-6,-3,2,-4,-5,1,7]=>[7,1,-5,-4,2,-3,-6]
[-3,5,-7,2,-4,1,6]=>[6,1,-4,2,-7,5,-3]
[6,2,7,-5,-3,1,4]=>[4,1,-3,-5,7,2,6]
[-5,2,-3,-4,-6,1,7]=>[7,1,-6,-4,-3,2,-5]
[6,-4,-5,2,7,1,3]=>[3,1,7,2,-5,-4,6]
[-2,-5,-6,4,-3,1,7]=>[7,1,-3,4,-6,-5,-2]
[-7,-3,2,4,-5,1,6]=>[6,1,-5,4,2,-3,-7]
[-2,-3,-6,5,-4,1,7]=>[7,1,-4,5,-6,-3,-2]
[-2,-3,-4,-5,7,1,6]=>[6,1,7,-5,-4,-3,-2]
[-3,-7,2,5,-4,1,6]=>[6,1,-4,5,2,-7,-3]
[-6,7,2,4,-3,1,5]=>[5,1,-3,4,2,7,-6]
[-6,-5,2,4,-3,1,7]=>[7,1,-3,4,2,-5,-6]
[6,-3,2,-7,4,1,5]=>[5,1,4,-7,2,-3,6]
[-6,-4,-2,5,7,1,3]=>[3,1,7,5,-2,-4,-6]
[-4,-5,-2,6,7,1,3]=>[3,1,7,6,-2,-5,-4]
[-4,-2,7,5,6,1,3]=>[3,1,6,5,7,-2,-4]
[-2,-5,4,-3,-6,1,7]=>[7,1,-6,-3,4,-5,-2]
[-2,-3,4,-6,-5,1,7]=>[7,1,-5,-6,4,-3,-2]
[-2,-3,5,6,-4,1,7]=>[7,1,-4,6,5,-3,-2]
[-5,2,4,-7,-3,1,6]=>[6,1,-3,-7,4,2,-5]
[-6,-2,7,-5,4,1,3]=>[3,1,4,-5,7,-2,-6]
[-4,-2,-6,5,7,1,3]=>[3,1,7,5,-6,-2,-4]
[-2,4,-3,-5,-6,1,7]=>[7,1,-6,-5,-3,4,-2]
[-3,7,-6,-4,1,-5,2]=>[2,-5,1,-4,-6,7,-3]
[-5,-3,7,-6,1,-4,2]=>[2,-4,1,-6,7,-3,-5]
[-6,-3,7,-4,1,-5,2]=>[2,-5,1,-4,7,-3,-6]
[3,5,6,-7,1,-4,2]=>[2,-4,1,-7,6,5,3]
[-6,-5,7,4,1,-3,2]=>[2,-3,1,4,7,-5,-6]
[-5,7,-3,-4,1,-6,2]=>[2,-6,1,-4,-3,7,-5]
[-4,-5,-6,-2,1,3,7]=>[7,3,1,-2,-6,-5,-4]
[-7,-4,-5,2,1,3,6]=>[6,3,1,2,-5,-4,-7]
[-4,-6,7,2,1,3,5]=>[5,3,1,2,7,-6,-4]
[6,-4,-5,2,1,3,7]=>[7,3,1,2,-5,-4,6]
[6,-7,-4,2,1,3,5]=>[5,3,1,2,-4,-7,6]
[-2,-5,-6,-3,1,4,7]=>[7,4,1,-3,-6,-5,-2]
[-7,2,-5,-3,1,4,6]=>[6,4,1,-3,-5,2,-7]
[-2,-3,-4,-7,1,-6,5]=>[5,-6,1,-7,-4,-3,-2]
[-2,-3,-4,-5,1,6,7]=>[7,6,1,-5,-4,-3,-2]
[2,-6,-3,-4,1,-7,5]=>[5,-7,1,-4,-3,-6,2]
[2,-6,7,-3,1,4,5]=>[5,4,1,-3,7,-6,2]
[6,2,-5,-3,1,4,7]=>[7,4,1,-3,-5,2,6]
[-7,2,-3,-4,1,-6,5]=>[5,-6,1,-4,-3,2,-7]
[6,-7,2,-3,1,4,5]=>[5,4,1,-3,2,-7,6]
[-6,5,-2,1,7,3,4]=>[4,3,7,1,-2,5,-6]
[-6,-4,-2,5,1,3,7]=>[7,3,1,5,-2,-4,-6]
[-4,-5,-2,6,1,3,7]=>[7,3,1,6,-2,-5,-4]
[-4,7,2,5,1,3,6]=>[6,3,1,5,2,7,-4]
[-6,-2,-3,5,1,4,7]=>[7,4,1,5,-3,-2,-6]
[-2,-5,-3,6,1,4,7]=>[7,4,1,6,-3,-5,-2]
[-2,-3,5,-4,1,-7,6]=>[6,-7,1,-4,5,-3,-2]
[2,7,-3,5,1,4,6]=>[6,4,1,5,-3,7,2]
[7,-6,-2,1,5,3,4]=>[4,3,5,1,-2,-6,7]
[5,-2,1,6,7,3,4]=>[4,3,7,6,1,-2,5]
[-4,-2,-6,5,1,3,7]=>[7,3,1,5,-6,-2,-4]
[-2,-3,-6,5,1,4,7]=>[7,4,1,5,-6,-3,-2]
[-7,3,-6,1,-4,-5,2]=>[2,-5,-4,1,-6,3,-7]
[-4,-5,-6,1,7,-3,2]=>[2,-3,7,1,-6,-5,-4]
[3,-7,4,1,6,-5,2]=>[2,-5,6,1,4,-7,3]
[-5,-3,-6,1,7,-4,2]=>[2,-4,7,1,-6,-3,-5]
[-6,-3,-4,1,-5,-7,2]=>[2,-7,-5,1,-4,-3,-6]
[3,5,-7,1,6,-4,2]=>[2,-4,6,1,-7,5,3]
[7,-6,1,4,5,-3,2]=>[2,-3,5,4,1,-6,7]
[-6,-5,4,1,7,-3,2]=>[2,-3,7,1,4,-5,-6]
[-6,-3,5,1,7,-4,2]=>[2,-4,7,1,5,-3,-6]
[-6,-7,1,4,5,-3,2]=>[2,-3,5,4,1,-7,-6]
[-4,-5,-2,1,-6,3,7]=>[7,3,-6,1,-2,-5,-4]
[-7,-4,2,1,-5,3,6]=>[6,3,-5,1,2,-4,-7]
[-2,-5,-6,1,-4,3,7]=>[7,3,-4,1,-6,-5,-2]
[-7,-2,-4,1,-5,3,6]=>[6,3,-5,1,-4,-2,-7]
[-5,-7,2,1,-4,3,6]=>[6,3,-4,1,2,-7,-5]
[-6,-2,-3,1,4,5,7]=>[7,5,4,1,-3,-2,-6]
[-2,-5,-3,1,4,-7,6]=>[6,-7,4,1,-3,-5,-2]
[-2,-3,-4,1,5,-7,6]=>[6,-7,5,1,-4,-3,-2]
[7,-2,4,-6,1,3,5]=>[5,3,1,-6,4,-2,7]
[-6,-2,4,1,-5,3,7]=>[7,3,-5,1,4,-2,-6]
[-2,-6,5,1,-4,3,7]=>[7,3,-4,1,5,-6,-2]
[-2,-3,1,6,4,5,7]=>[7,5,4,6,1,-3,-2]
[-6,-2,4,-7,1,3,5]=>[5,3,1,-7,4,-2,-6]
[-7,-5,1,3,-6,-4,2]=>[2,-4,-6,3,1,-5,-7]
[-7,-6,1,3,-4,-5,2]=>[2,-5,-4,3,1,-6,-7]
[-5,1,6,3,-7,-4,2]=>[2,-4,-7,3,6,1,-5]
[-4,-5,1,-3,7,-6,2]=>[2,-6,7,-3,1,-5,-4]
[-4,-3,1,-6,7,-5,2]=>[2,-5,7,-6,1,-3,-4]
[-5,4,-3,1,6,-7,2]=>[2,-7,6,1,-3,4,-5]
[-4,-2,1,-5,-6,3,7]=>[7,3,-6,-5,1,-2,-4]
[-2,-4,1,-6,-5,3,7]=>[7,3,-5,-6,1,-4,-2]
[-2,-5,1,6,-4,3,7]=>[7,3,-4,6,1,-5,-2]
[-2,-3,1,-5,4,6,7]=>[7,6,4,-5,1,-3,-2]
[-2,4,1,-7,-5,3,6]=>[6,3,-5,-7,1,4,-2]
[-7,1,-5,3,-4,-6,2]=>[2,-6,-4,3,-5,1,-7]
[-4,1,-3,-5,7,-6,2]=>[2,-6,7,-5,-3,1,-4]
[-2,1,-4,-5,-6,3,7]=>[7,3,-6,-5,-4,1,-2]
[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]
[5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]
[5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]
[5,6,7,8,1,4,2,3]=>[3,2,4,1,8,7,6,5]
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]
[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]
[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]
[6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]
[6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]
[5,7,8,6,1,2,3,4]=>[4,3,2,1,6,8,7,5]
[5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5]
[7,3,8,6,1,2,4,5]=>[5,4,2,1,6,8,3,7]
[-8,-6,-4,-2,1,3,5,7]=>[7,5,3,1,-2,-4,-6,-8]
[6,8,-4,-3,1,2,5,7]=>[7,5,2,1,-3,-4,8,6]
[-3,2,-8,-6,-4,1,5,7]=>[7,5,1,-4,-6,-8,2,-3]
[3,2,8,-6,-5,1,4,7]=>[7,4,1,-5,-6,8,2,3]
[-5,-3,2,4,-8,-6,1,7]=>[7,1,-6,-8,4,2,-3,-5]
[5,-3,2,4,8,-7,1,6]=>[6,1,-7,8,4,2,-3,5]
[-7,-5,-3,2,4,6,-8,1]=>[1,-8,6,4,2,-3,-5,-7]
[5,7,-4,2,3,6,-8,1]=>[1,-8,6,3,2,-4,7,5]
[-4,5,2,3,8,-7,1,6]=>[6,1,-7,8,3,2,5,-4]
[4,5,2,3,-8,-6,1,7]=>[7,1,-6,-8,3,2,5,4]
[2,-8,-4,-6,-5,1,3,7]=>[7,3,1,-5,-6,-4,-8,2]
[-8,-6,1,-5,-4,2,3,7]=>[7,3,2,-4,-5,1,-6,-8]
[-3,6,8,-5,1,2,4,7]=>[7,4,2,1,-5,8,6,-3]
[2,8,-6,-5,1,3,4,7]=>[7,4,3,1,-5,-6,8,2]
[-5,4,-8,-6,-2,1,3,7]=>[7,3,1,-2,-6,-8,4,-5]
[4,-5,-8,-6,-3,1,2,7]=>[7,2,1,-3,-6,-8,-5,4]
[3,-8,-5,-6,-4,1,2,7]=>[7,2,1,-4,-6,-5,-8,3]
[-6,4,3,8,-5,1,2,7]=>[7,2,1,-5,8,3,4,-6]
[-4,3,-5,2,-8,-6,1,7]=>[7,1,-6,-8,2,-5,3,-4]
[4,3,-5,2,8,-7,1,6]=>[6,1,-7,8,2,-5,3,4]
[-4,3,-7,-5,2,6,-8,1]=>[1,-8,6,2,-5,-7,3,-4]
[4,3,7,-6,2,5,-8,1]=>[1,-8,5,2,-6,7,3,4]
[3,-4,-8,-6,2,-7,1,5]=>[5,1,-7,2,-6,-8,-4,3]
[8,4,-7,-6,3,1,2,5]=>[5,2,1,3,-6,-7,4,8]
[-5,4,-7,3,8,1,2,6]=>[6,2,1,8,3,-7,4,-5]
[5,8,-4,3,-7,1,2,6]=>[6,2,1,-7,3,-4,8,5]
[5,-3,4,8,-7,1,2,6]=>[6,2,1,-7,8,4,-3,5]
[-5,2,4,8,-7,1,3,6]=>[6,3,1,-7,8,4,2,-5]
[-7,-5,4,6,-8,-2,1,3]=>[3,1,-2,-8,6,4,-5,-7]
[4,-7,-5,6,-8,-3,1,2]=>[2,1,-3,-8,6,-5,-7,4]
[-7,3,-5,6,-8,-4,1,2]=>[2,1,-4,-8,6,-5,3,-7]
[-4,3,6,-7,-8,-5,1,2]=>[2,1,-5,-8,-7,6,3,-4]
[-4,3,5,8,7,-6,1,2]=>[2,1,-6,7,8,5,3,-4]
[4,-8,6,-7,3,5,1,2]=>[2,1,5,3,-7,6,-8,4]
[-6,-4,3,5,-7,2,-8,1]=>[1,-8,2,-7,5,3,-4,-6]
[5,6,3,4,-7,2,-8,1]=>[1,-8,2,-7,4,3,6,5]
[3,-8,5,7,4,-6,1,2]=>[2,1,-6,4,7,5,-8,3]
[-7,-6,3,-8,4,-5,1,2]=>[2,1,-5,4,-8,3,-6,-7]
[-7,-6,5,3,-8,-4,1,2]=>[2,1,-4,-8,3,5,-6,-7]
[-7,4,-6,5,-8,-3,1,2]=>[2,1,-3,-8,5,-6,4,-7]
[6,7,4,5,-8,-2,1,3]=>[3,1,-2,-8,5,4,7,6]
[8,-6,2,4,-7,1,3,5]=>[5,3,1,-7,4,2,-6,8]
[4,-8,-6,-3,-7,1,2,5]=>[5,2,1,-7,-3,-6,-8,4]
[-4,3,-8,-6,-7,1,2,5]=>[5,2,1,-7,-6,-8,3,-4]
[-7,6,8,1,3,-5,2,4]=>[4,2,-5,3,1,8,6,-7]
[-7,-6,5,8,3,1,2,4]=>[4,2,1,3,8,5,-6,-7]
[5,-6,3,8,2,-7,1,4]=>[4,1,-7,2,8,3,-6,5]
[3,-7,-5,-6,2,4,-8,1]=>[1,-8,4,2,-6,-5,-7,3]
[-7,-6,2,-5,3,4,-8,1]=>[1,-8,4,3,-5,2,-6,-7]
[-5,2,6,8,3,-7,1,4]=>[4,1,-7,3,8,6,2,-5]
[-5,7,8,-6,2,1,3,4]=>[4,3,1,2,-6,8,7,-5]
[5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]
[-4,-8,-7,1,-6,2,3,5]=>[5,3,2,-6,1,-7,-8,-4]
[8,-7,-6,3,1,2,4,5]=>[5,4,2,1,3,-6,-7,8]
[2,-7,8,-6,1,3,4,5]=>[5,4,3,1,-6,8,-7,2]
[-5,2,8,-7,1,3,4,6]=>[6,4,3,1,-7,8,2,-5]
[-7,-5,3,8,1,2,4,6]=>[6,4,2,1,8,3,-5,-7]
[5,-7,-4,8,1,2,3,6]=>[6,3,2,1,8,-4,-7,5]
[-4,-8,-7,2,-5,1,3,6]=>[6,3,1,-5,2,-7,-8,-4]
[4,2,-7,8,-6,1,3,5]=>[5,3,1,-6,8,-7,2,4]
[-8,-4,-6,2,3,-7,1,5]=>[5,1,-7,3,2,-6,-4,-8]
[-6,4,7,2,3,5,-8,1]=>[1,-8,5,3,2,7,4,-6]
[3,7,-6,2,4,5,-8,1]=>[1,-8,5,4,2,-6,7,3]
[6,8,-3,2,4,-7,1,5]=>[5,1,-7,4,2,-3,8,6]
[2,-8,-7,-3,-6,1,4,5]=>[5,4,1,-6,-3,-7,-8,2]
[3,-7,2,8,-5,1,4,6]=>[6,4,1,-5,8,2,-7,3]
[-3,2,7,8,-4,1,5,6]=>[6,5,1,-4,8,7,2,-3]
[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]
[4,8,-7,-2,1,3,5,6]=>[6,5,3,1,-2,-7,8,4]
[-7,6,-8,-4,-2,1,3,5]=>[5,3,1,-2,-4,-8,6,-7]
[6,-7,-8,-4,-3,1,2,5]=>[5,2,1,-3,-4,-8,-7,6]
[-7,-3,2,6,-8,-4,1,5]=>[5,1,-4,-8,6,2,-3,-7]
[3,7,2,6,-8,-5,1,4]=>[4,1,-5,-8,6,2,7,3]
[-7,-8,-3,2,5,-6,1,4]=>[4,1,-6,5,2,-3,-8,-7]
[-8,5,-6,-3,2,-7,1,4]=>[4,1,-7,2,-3,-6,5,-8]
[-6,5,-7,-3,2,4,-8,1]=>[1,-8,4,2,-3,-7,5,-6]
[5,-6,-7,-4,2,3,-8,1]=>[1,-8,3,2,-4,-7,-6,5]
[-8,-6,5,-4,2,-7,1,3]=>[3,1,-7,2,-4,5,-6,-8]
[-8,4,7,2,5,-6,1,3]=>[3,1,-6,5,2,7,4,-8]
[-7,2,-4,6,-8,-5,1,3]=>[3,1,-5,-8,6,-4,2,-7]
[-7,6,1,-8,-5,-4,2,3]=>[3,2,-4,-5,-8,1,6,-7]
[6,-7,-3,-8,-5,1,2,4]=>[4,2,1,-5,-8,-3,-7,6]
[7,2,6,-8,-5,1,3,4]=>[4,3,1,-5,-8,6,2,7]
[7,-8,2,5,-6,1,3,4]=>[4,3,1,-6,5,2,-8,7]
[7,-8,-5,-3,-6,1,2,4]=>[4,2,1,-6,-3,-5,-8,7]
[-8,6,7,5,-4,1,2,3]=>[3,2,1,-4,5,7,6,-8]
[-8,6,7,1,4,-5,2,3]=>[3,2,-5,4,1,7,6,-8]
[-8,2,5,7,4,-6,1,3]=>[3,1,-6,4,7,5,2,-8]
[-8,-6,-5,4,2,-7,1,3]=>[3,1,-7,2,4,-5,-6,-8]
[4,7,6,-5,2,3,-8,1]=>[1,-8,3,2,-5,6,7,4]
[5,7,-6,4,2,3,-8,1]=>[1,-8,3,2,4,-6,7,5]
[4,-8,-5,2,-6,-7,1,3]=>[3,1,-7,-6,2,-5,-8,4]
[4,-8,-5,-7,1,-6,2,3]=>[3,2,-6,1,-7,-5,-8,4]
[-8,-7,5,6,4,1,2,3]=>[3,2,1,4,6,5,-7,-8]
[8,6,-7,-4,5,1,2,3]=>[3,2,1,5,-4,-7,6,8]
[-8,6,-7,3,5,1,2,4]=>[4,2,1,5,3,-7,6,-8]
[5,8,-6,2,-7,1,3,4]=>[4,3,1,-7,2,-6,8,5]
[-6,5,-7,4,-8,-2,1,3]=>[3,1,-2,-8,4,-7,5,-6]
[5,-6,-7,4,-8,-3,1,2]=>[2,1,-3,-8,4,-7,-6,5]
[7,-8,6,3,5,-4,1,2]=>[2,1,-4,5,3,6,-8,7]
[6,-7,-4,-8,3,-5,1,2]=>[2,1,-5,3,-8,-4,-7,6]
[5,7,-8,4,3,-6,1,2]=>[2,1,-6,3,4,-8,7,5]
[5,8,-6,4,-7,3,1,2]=>[2,1,3,-7,4,-6,8,5]
[-5,4,-6,3,-7,2,-8,1]=>[1,-8,2,-7,3,-6,4,-5]
[8,1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1,8]
[1,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,1]
[1,8,5,6,2,7,3,4]=>[4,3,7,2,6,5,8,1]
[1,6,2,8,5,7,3,4]=>[4,3,7,5,8,2,6,1]
[3,4,7,8,5,6,1,2]=>[2,1,6,5,8,7,4,3]
[7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]
[1,8,6,7,2,5,3,4]=>[4,3,5,2,7,6,8,1]
[1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]
[3,8,5,7,1,2,4,6]=>[6,4,2,1,7,5,8,3]
[5,4,8,7,1,2,3,6]=>[6,3,2,1,7,8,4,5]
[1,4,3,6,5,8,7,-2]=>[-2,7,8,5,6,3,4,1]
[4,1,2,6,5,8,7,-3]=>[-3,7,8,5,6,2,1,4]
[3,1,2,6,5,8,7,-4]=>[-4,7,8,5,6,2,1,3]
[3,1,6,2,4,8,7,-5]=>[-5,7,8,4,2,6,1,3]
[3,1,5,2,4,8,7,-6]=>[-6,7,8,4,2,5,1,3]
[3,1,5,2,8,4,6,-7]=>[-7,6,4,8,2,5,1,3]
[3,1,5,2,7,4,6,-8]=>[-8,6,4,7,2,5,1,3]
[4,5,1,2,7,3,6,-8]=>[-8,6,3,7,2,1,5,4]
[4,5,1,2,8,3,6,-7]=>[-7,6,3,8,2,1,5,4]
[4,5,1,2,3,8,7,-6]=>[-6,7,8,3,2,1,5,4]
[4,6,1,2,3,8,7,-5]=>[-5,7,8,3,2,1,6,4]
[5,6,1,2,3,8,7,-4]=>[-4,7,8,3,2,1,6,5]
[5,1,6,2,4,8,7,-3]=>[-3,7,8,4,2,6,1,5]
[1,5,6,3,4,8,7,-2]=>[-2,7,8,4,3,6,5,1]
[1,6,5,3,4,8,7,-2]=>[-2,7,8,4,3,5,6,1]
[6,1,5,2,4,8,7,-3]=>[-3,7,8,4,2,5,1,6]
[6,5,1,2,3,8,7,-4]=>[-4,7,8,3,2,1,5,6]
[6,4,1,2,3,8,7,-5]=>[-5,7,8,3,2,1,4,6]
[5,4,1,2,3,8,7,-6]=>[-6,7,8,3,2,1,4,5]
[5,4,1,2,8,3,6,-7]=>[-7,6,3,8,2,1,4,5]
[5,4,1,2,7,3,6,-8]=>[-8,6,3,7,2,1,4,5]
[6,4,1,7,2,3,5,-8]=>[-8,5,3,2,7,1,4,6]
[6,4,1,8,2,3,5,-7]=>[-7,5,3,2,8,1,4,6]
[7,4,1,8,2,3,5,-6]=>[-6,5,3,2,8,1,4,7]
[7,4,1,2,8,3,6,-5]=>[-5,6,3,8,2,1,4,7]
[7,5,1,2,8,3,6,-4]=>[-4,6,3,8,2,1,5,7]
[7,1,5,2,8,4,6,-3]=>[-3,6,4,8,2,5,1,7]
[1,7,5,3,8,4,6,-2]=>[-2,6,4,8,3,5,7,1]
[1,8,5,3,7,4,6,-2]=>[-2,6,4,7,3,5,8,1]
[8,1,5,2,7,4,6,-3]=>[-3,6,4,7,2,5,1,8]
[8,5,1,2,7,3,6,-4]=>[-4,6,3,7,2,1,5,8]
[8,4,1,2,7,3,6,-5]=>[-5,6,3,7,2,1,4,8]
[8,4,1,7,2,3,5,-6]=>[-6,5,3,2,7,1,4,8]
[8,4,1,6,2,3,5,-7]=>[-7,5,3,2,6,1,4,8]
[7,4,1,6,2,3,5,-8]=>[-8,5,3,2,6,1,4,7]
[7,5,6,1,2,3,4,-8]=>[-8,4,3,2,1,6,5,7]
[8,5,6,1,2,3,4,-7]=>[-7,4,3,2,1,6,5,8]
[8,5,7,1,2,3,4,-6]=>[-6,4,3,2,1,7,5,8]
[8,6,7,1,2,3,4,-5]=>[-5,4,3,2,1,7,6,8]
[8,6,1,7,2,3,5,-4]=>[-4,5,3,2,7,1,6,8]
[8,1,6,7,2,4,5,-3]=>[-3,5,4,2,7,6,1,8]
[1,8,6,7,3,4,5,-2]=>[-2,5,4,3,7,6,8,1]
[1,7,6,8,3,4,5,-2]=>[-2,5,4,3,8,6,7,1]
[7,1,6,8,2,4,5,-3]=>[-3,5,4,2,8,6,1,7]
[7,6,1,8,2,3,5,-4]=>[-4,5,3,2,8,1,6,7]
[7,6,8,1,2,3,4,-5]=>[-5,4,3,2,1,8,6,7]
[7,5,8,1,2,3,4,-6]=>[-6,4,3,2,1,8,5,7]
[6,5,8,1,2,3,4,-7]=>[-7,4,3,2,1,8,5,6]
[6,5,7,1,2,3,4,-8]=>[-8,4,3,2,1,7,5,6]
[5,6,7,1,2,3,4,-8]=>[-8,4,3,2,1,7,6,5]
[5,6,8,1,2,3,4,-7]=>[-7,4,3,2,1,8,6,5]
[5,7,8,1,2,3,4,-6]=>[-6,4,3,2,1,8,7,5]
[6,7,8,1,2,3,4,-5]=>[-5,4,3,2,1,8,7,6]
[6,7,1,8,2,3,5,-4]=>[-4,5,3,2,8,1,7,6]
[6,1,7,8,2,4,5,-3]=>[-3,5,4,2,8,7,1,6]
[1,6,7,8,3,4,5,-2]=>[-2,5,4,3,8,7,6,1]
[1,5,7,3,8,4,6,-2]=>[-2,6,4,8,3,7,5,1]
[5,1,7,2,8,4,6,-3]=>[-3,6,4,8,2,7,1,5]
[5,7,1,2,8,3,6,-4]=>[-4,6,3,8,2,1,7,5]
[4,7,1,2,8,3,6,-5]=>[-5,6,3,8,2,1,7,4]
[4,7,1,8,2,3,5,-6]=>[-6,5,3,2,8,1,7,4]
[4,6,1,8,2,3,5,-7]=>[-7,5,3,2,8,1,6,4]
[4,6,1,7,2,3,5,-8]=>[-8,5,3,2,7,1,6,4]
[3,1,6,7,2,4,5,-8]=>[-8,5,4,2,7,6,1,3]
[3,1,6,8,2,4,5,-7]=>[-7,5,4,2,8,6,1,3]
[3,1,7,8,2,4,5,-6]=>[-6,5,4,2,8,7,1,3]
[3,1,7,2,8,4,6,-5]=>[-5,6,4,8,2,7,1,3]
[3,1,2,7,8,5,6,-4]=>[-4,6,5,8,7,2,1,3]
[4,1,2,7,8,5,6,-3]=>[-3,6,5,8,7,2,1,4]
[1,4,3,7,8,5,6,-2]=>[-2,6,5,8,7,3,4,1]
[1,4,3,8,7,5,6,-2]=>[-2,6,5,7,8,3,4,1]
[4,1,2,8,7,5,6,-3]=>[-3,6,5,7,8,2,1,4]
[3,1,2,8,7,5,6,-4]=>[-4,6,5,7,8,2,1,3]
[3,1,8,2,7,4,6,-5]=>[-5,6,4,7,2,8,1,3]
[3,1,8,7,2,4,5,-6]=>[-6,5,4,2,7,8,1,3]
[3,1,8,6,2,4,5,-7]=>[-7,5,4,2,6,8,1,3]
[3,1,7,6,2,4,5,-8]=>[-8,5,4,2,6,7,1,3]
[4,7,1,6,2,3,5,-8]=>[-8,5,3,2,6,1,7,4]
[4,8,1,6,2,3,5,-7]=>[-7,5,3,2,6,1,8,4]
[4,8,1,7,2,3,5,-6]=>[-6,5,3,2,7,1,8,4]
[4,8,1,2,7,3,6,-5]=>[-5,6,3,7,2,1,8,4]
[5,8,1,2,7,3,6,-4]=>[-4,6,3,7,2,1,8,5]
[5,1,8,2,7,4,6,-3]=>[-3,6,4,7,2,8,1,5]
[1,5,8,3,7,4,6,-2]=>[-2,6,4,7,3,8,5,1]
[1,6,8,7,3,4,5,-2]=>[-2,5,4,3,7,8,6,1]
[6,1,8,7,2,4,5,-3]=>[-3,5,4,2,7,8,1,6]
[6,8,1,7,2,3,5,-4]=>[-4,5,3,2,7,1,8,6]
[6,8,7,1,2,3,4,-5]=>[-5,4,3,2,1,7,8,6]
[5,8,7,1,2,3,4,-6]=>[-6,4,3,2,1,7,8,5]
[5,8,6,1,2,3,4,-7]=>[-7,4,3,2,1,6,8,5]
[5,7,6,1,2,3,4,-8]=>[-8,4,3,2,1,6,7,5]
[6,7,5,1,2,3,4,-8]=>[-8,4,3,2,1,5,7,6]
[6,8,5,1,2,3,4,-7]=>[-7,4,3,2,1,5,8,6]
[7,8,5,1,2,3,4,-6]=>[-6,4,3,2,1,5,8,7]
[7,8,6,1,2,3,4,-5]=>[-5,4,3,2,1,6,8,7]
[7,8,1,6,2,3,5,-4]=>[-4,5,3,2,6,1,8,7]
[7,1,8,6,2,4,5,-3]=>[-3,5,4,2,6,8,1,7]
[1,7,8,6,3,4,5,-2]=>[-2,5,4,3,6,8,7,1]
[1,8,7,6,3,4,5,-2]=>[-2,5,4,3,6,7,8,1]
[8,1,7,6,2,4,5,-3]=>[-3,5,4,2,6,7,1,8]
[8,7,1,6,2,3,5,-4]=>[-4,5,3,2,6,1,7,8]
[8,7,6,1,2,3,4,-5]=>[-5,4,3,2,1,6,7,8]
[8,7,5,1,2,3,4,-6]=>[-6,4,3,2,1,5,7,8]
[8,6,5,1,2,3,4,-7]=>[-7,4,3,2,1,5,6,8]
[7,6,5,1,2,3,4,-8]=>[-8,4,3,2,1,5,6,7]
[3,5,6,8,1,2,4,7]=>[7,4,2,1,8,6,5,3]
[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]
[1,6,2,8,3,4,5,7]=>[7,5,4,3,8,2,6,1]
[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]
[3,2,1,6,5,8,7,-4]=>[-4,7,8,5,6,1,2,3]
[3,2,6,1,4,8,7,-5]=>[-5,7,8,4,1,6,2,3]
[3,2,5,4,1,8,7,-6]=>[-6,7,8,1,4,5,2,3]
[3,2,5,4,8,1,6,-7]=>[-7,6,1,8,4,5,2,3]
[3,2,5,4,7,6,1,-8]=>[-8,1,6,7,4,5,2,3]
[4,5,2,3,7,6,1,-8]=>[-8,1,6,7,3,2,5,4]
[4,5,2,3,8,1,6,-7]=>[-7,6,1,8,3,2,5,4]
[4,5,2,3,1,8,7,-6]=>[-6,7,8,1,3,2,5,4]
[4,6,2,1,3,8,7,-5]=>[-5,7,8,3,1,2,6,4]
[1,6,5,4,3,8,7,-2]=>[-2,7,8,3,4,5,6,1]
[6,1,5,4,2,8,7,-3]=>[-3,7,8,2,4,5,1,6]
[6,5,1,3,2,8,7,-4]=>[-4,7,8,2,3,1,5,6]
[6,4,3,1,2,8,7,-5]=>[-5,7,8,2,1,3,4,6]
[5,4,3,2,1,8,7,-6]=>[-6,7,8,1,2,3,4,5]
[5,4,3,2,8,1,6,-7]=>[-7,6,1,8,2,3,4,5]
[5,4,3,2,7,6,1,-8]=>[-8,1,6,7,2,3,4,5]
[6,4,3,7,2,5,1,-8]=>[-8,1,5,2,7,3,4,6]
[6,4,3,8,2,1,5,-7]=>[-7,5,1,2,8,3,4,6]
[7,4,3,8,1,2,5,-6]=>[-6,5,2,1,8,3,4,7]
[7,4,3,1,8,2,6,-5]=>[-5,6,2,8,1,3,4,7]
[7,5,1,3,8,2,6,-4]=>[-4,6,2,8,3,1,5,7]
[7,1,5,4,8,2,6,-3]=>[-3,6,2,8,4,5,1,7]
[1,7,5,4,8,3,6,-2]=>[-2,6,3,8,4,5,7,1]
[1,8,5,4,7,6,3,-2]=>[-2,3,6,7,4,5,8,1]
[8,1,5,4,7,6,2,-3]=>[-3,2,6,7,4,5,1,8]
[8,5,1,3,7,6,2,-4]=>[-4,2,6,7,3,1,5,8]
[8,4,3,1,7,6,2,-5]=>[-5,2,6,7,1,3,4,8]
[8,4,3,7,1,5,2,-6]=>[-6,2,5,1,7,3,4,8]
[8,4,3,6,5,1,2,-7]=>[-7,2,1,5,6,3,4,8]
[7,4,3,6,5,2,1,-8]=>[-8,1,2,5,6,3,4,7]
[7,5,6,3,4,2,1,-8]=>[-8,1,2,4,3,6,5,7]
[8,5,6,3,4,1,2,-7]=>[-7,2,1,4,3,6,5,8]
[8,5,7,3,1,4,2,-6]=>[-6,2,4,1,3,7,5,8]
[8,6,7,1,3,4,2,-5]=>[-5,2,4,3,1,7,6,8]
[8,6,1,7,3,5,2,-4]=>[-4,2,5,3,7,1,6,8]
[8,1,6,7,4,5,2,-3]=>[-3,2,5,4,7,6,1,8]
[1,8,6,7,4,5,3,-2]=>[-2,3,5,4,7,6,8,1]
[1,7,6,8,4,3,5,-2]=>[-2,5,3,4,8,6,7,1]
[7,1,6,8,4,2,5,-3]=>[-3,5,2,4,8,6,1,7]
[7,6,1,8,3,2,5,-4]=>[-4,5,2,3,8,1,6,7]
[7,6,8,1,3,2,4,-5]=>[-5,4,2,3,1,8,6,7]
[7,5,8,3,1,2,4,-6]=>[-6,4,2,1,3,8,5,7]
[6,5,8,3,2,1,4,-7]=>[-7,4,1,2,3,8,5,6]
[6,5,7,3,2,4,1,-8]=>[-8,1,4,2,3,7,5,6]
[5,6,7,2,3,4,1,-8]=>[-8,1,4,3,2,7,6,5]
[5,6,8,2,3,1,4,-7]=>[-7,4,1,3,2,8,6,5]
[5,7,8,2,1,3,4,-6]=>[-6,4,3,1,2,8,7,5]
[4,7,2,1,8,3,6,-5]=>[-5,6,3,8,1,2,7,4]
[4,7,2,8,1,3,5,-6]=>[-6,5,3,1,8,2,7,4]
[4,6,2,8,3,1,5,-7]=>[-7,5,1,3,8,2,6,4]
[4,6,2,7,3,5,1,-8]=>[-8,1,5,3,7,2,6,4]
[3,2,6,7,4,5,1,-8]=>[-8,1,5,4,7,6,2,3]
[3,2,6,8,4,1,5,-7]=>[-7,5,1,4,8,6,2,3]
[3,2,7,8,1,4,5,-6]=>[-6,5,4,1,8,7,2,3]
[3,2,7,1,8,4,6,-5]=>[-5,6,4,8,1,7,2,3]
[3,2,1,7,8,5,6,-4]=>[-4,6,5,8,7,1,2,3]
[1,4,3,8,7,6,5,-2]=>[-2,5,6,7,8,3,4,1]
[4,1,2,8,7,6,5,-3]=>[-3,5,6,7,8,2,1,4]
[3,2,1,8,7,6,5,-4]=>[-4,5,6,7,8,1,2,3]
[3,2,8,1,7,6,4,-5]=>[-5,4,6,7,1,8,2,3]
[3,2,8,7,1,5,4,-6]=>[-6,4,5,1,7,8,2,3]
[3,2,8,6,5,1,4,-7]=>[-7,4,1,5,6,8,2,3]
[3,2,7,6,5,4,1,-8]=>[-8,1,4,5,6,7,2,3]
[4,7,2,6,5,3,1,-8]=>[-8,1,3,5,6,2,7,4]
[4,8,2,6,5,1,3,-7]=>[-7,3,1,5,6,2,8,4]
[4,8,2,7,1,5,3,-6]=>[-6,3,5,1,7,2,8,4]
[4,8,2,1,7,6,3,-5]=>[-5,3,6,7,1,2,8,4]
[5,8,1,2,7,6,3,-4]=>[-4,3,6,7,2,1,8,5]
[5,1,8,2,7,6,4,-3]=>[-3,4,6,7,2,8,1,5]
[1,5,8,3,7,6,4,-2]=>[-2,4,6,7,3,8,5,1]
[1,6,8,7,3,5,4,-2]=>[-2,4,5,3,7,8,6,1]
[6,1,8,7,2,5,4,-3]=>[-3,4,5,2,7,8,1,6]
[6,8,1,7,2,5,3,-4]=>[-4,3,5,2,7,1,8,6]
[6,8,7,1,2,4,3,-5]=>[-5,3,4,2,1,7,8,6]
[5,8,7,2,1,4,3,-6]=>[-6,3,4,1,2,7,8,5]
[5,8,6,2,4,1,3,-7]=>[-7,3,1,4,2,6,8,5]
[5,7,6,2,4,3,1,-8]=>[-8,1,3,4,2,6,7,5]
[6,7,5,4,2,3,1,-8]=>[-8,1,3,2,4,5,7,6]
[6,8,5,4,2,1,3,-7]=>[-7,3,1,2,4,5,8,6]
[7,8,5,4,1,2,3,-6]=>[-6,3,2,1,4,5,8,7]
[7,8,6,1,4,2,3,-5]=>[-5,3,2,4,1,6,8,7]
[7,8,1,6,5,2,3,-4]=>[-4,3,2,5,6,1,8,7]
[7,1,8,6,5,2,4,-3]=>[-3,4,2,5,6,8,1,7]
[1,7,8,6,5,3,4,-2]=>[-2,4,3,5,6,8,7,1]
[1,8,7,6,5,4,3,-2]=>[-2,3,4,5,6,7,8,1]
[8,1,7,6,5,4,2,-3]=>[-3,2,4,5,6,7,1,8]
[8,7,1,6,5,3,2,-4]=>[-4,2,3,5,6,1,7,8]
[8,7,6,1,4,3,2,-5]=>[-5,2,3,4,1,6,7,8]
[8,7,5,4,1,3,2,-6]=>[-6,2,3,1,4,5,7,8]
[8,6,5,4,3,1,2,-7]=>[-7,2,1,3,4,5,6,8]
[7,6,5,4,3,2,1,-8]=>[-8,1,2,3,4,5,6,7]
[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]
[2,8,-6,-4,-3,1,5,7]=>[7,5,1,-3,-4,-6,8,2]
[-3,2,8,-6,-5,1,4,7]=>[7,4,1,-5,-6,8,2,-3]
[-8,2,4,-6,-5,-3,1,7]=>[7,1,-3,-5,-6,4,2,-8]
[-8,-7,2,4,-5,-3,1,6]=>[6,1,-3,-5,4,2,-7,-8]
[8,2,4,6,-7,-5,-3,1]=>[1,-3,-5,-7,6,4,2,8]
[6,8,2,3,-7,-5,-4,1]=>[1,-4,-5,-7,3,2,8,6]
[5,-7,2,3,8,-4,1,6]=>[6,1,-4,8,3,2,-7,5]
[-8,-6,2,3,-5,-4,1,7]=>[7,1,-4,-5,3,2,-6,-8]
[2,-6,8,-5,-4,1,3,7]=>[7,3,1,-4,-5,8,-6,2]
[4,8,-6,-5,-2,1,3,7]=>[7,3,1,-2,-5,-6,8,4]
[8,4,-6,-5,-3,1,2,7]=>[7,2,1,-3,-5,-6,4,8]
[3,-6,8,-5,-4,1,2,7]=>[7,2,1,-4,-5,8,-6,3]
[3,-5,6,8,-4,1,2,7]=>[7,2,1,-4,8,6,-5,3]
[-8,-6,-3,2,-5,-4,1,7]=>[7,1,-4,-5,2,-3,-6,-8]
[5,-7,-3,2,8,-4,1,6]=>[6,1,-4,8,2,-3,-7,5]
[3,8,-6,2,-7,-5,-4,1]=>[1,-4,-5,-7,2,-6,8,3]
[5,8,-7,-3,2,-6,-4,1]=>[1,-4,-6,2,-3,-7,8,5]
[3,8,-7,-4,2,-6,1,5]=>[5,1,-6,2,-4,-7,8,3]
[4,8,-7,-6,3,1,2,5]=>[5,2,1,3,-6,-7,8,4]
[5,-7,-4,3,8,1,2,6]=>[6,2,1,8,3,-4,-7,5]
[5,-8,-7,3,-4,1,2,6]=>[6,2,1,-4,3,-7,-8,5]
[4,-7,8,-5,-3,1,2,6]=>[6,2,1,-3,-5,8,-7,4]
[-5,4,8,-7,-2,1,3,6]=>[6,3,1,-2,-7,8,4,-5]
[-8,4,6,-7,-5,-2,1,3]=>[3,1,-2,-5,-7,6,4,-8]
[4,-8,6,-7,-5,-3,1,2]=>[2,1,-3,-5,-7,6,-8,4]
[-8,6,3,-7,-5,-4,1,2]=>[2,1,-4,-5,-7,3,6,-8]
[3,8,-7,6,-5,-4,1,2]=>[2,1,-4,-5,6,-7,8,3]
[3,8,-7,-6,5,-4,1,2]=>[2,1,-4,5,-6,-7,8,3]
[4,8,-7,-6,3,5,1,2]=>[2,1,5,3,-6,-7,8,4]
[3,8,-7,-6,2,5,-4,1]=>[1,-4,5,2,-6,-7,8,3]
[4,7,8,-6,-3,2,-5,1]=>[1,-5,2,-3,-6,8,7,4]
[3,6,7,8,4,-5,1,2]=>[2,1,-5,4,8,7,6,3]
[3,7,8,-6,4,-5,1,2]=>[2,1,-5,4,-6,8,7,3]
[-5,8,-7,3,-6,-4,1,2]=>[2,1,-4,-6,3,-7,8,-5]
[7,8,4,5,-6,-3,1,2]=>[2,1,-3,-6,5,4,8,7]
[-8,-7,4,5,-6,-2,1,3]=>[3,1,-2,-6,5,4,-7,-8]
[-8,-7,2,4,-6,1,3,5]=>[5,3,1,-6,4,2,-7,-8]
[-8,-7,-4,-3,-6,1,2,5]=>[5,2,1,-6,-3,-4,-7,-8]
[-4,3,-7,8,-6,1,2,5]=>[5,2,1,-6,8,-7,3,-4]
[6,7,8,1,3,-5,2,4]=>[4,2,-5,3,1,8,7,6]
[-3,7,8,-6,2,-5,1,4]=>[4,1,-5,2,-6,8,7,-3]
[3,7,8,-6,2,4,-5,1]=>[1,-5,4,2,-6,8,7,3]
[6,7,8,2,3,4,-5,1]=>[1,-5,4,3,2,8,7,6]
[2,7,8,-6,3,-5,1,4]=>[4,1,-5,3,-6,8,7,2]
[6,7,8,-5,2,1,3,4]=>[4,3,1,2,-5,8,7,6]
[5,-8,-7,2,-4,1,3,6]=>[6,3,1,-4,2,-7,-8,5]
[-4,2,-7,8,-6,1,3,5]=>[5,3,1,-6,8,-7,2,-4]
[7,8,-4,2,3,-6,1,5]=>[5,1,-6,3,2,-4,8,7]
[5,8,-7,2,3,-6,-4,1]=>[1,-4,-6,3,2,-7,8,5]
[8,-7,2,4,5,-6,-3,1]=>[1,-3,-6,5,4,2,-7,8]
[-8,-7,-3,2,4,-6,1,5]=>[5,1,-6,4,2,-3,-7,-8]
[3,-8,-7,2,-6,1,4,5]=>[5,4,1,-6,2,-7,-8,3]
[-7,-3,2,8,-5,1,4,6]=>[6,4,1,-5,8,2,-3,-7]
[2,4,7,8,-3,1,5,6]=>[6,5,1,-3,8,7,4,2]
[6,8,-7,-4,-2,1,3,5]=>[5,3,1,-2,-4,-7,8,6]
[8,6,-7,-4,-3,1,2,5]=>[5,2,1,-3,-4,-7,6,8]
[-8,2,6,-7,-4,-3,1,5]=>[5,1,-3,-4,-7,6,2,-8]
[-8,-3,2,6,-7,-5,1,4]=>[4,1,-5,-7,6,2,-3,-8]
[-8,-7,-3,2,5,-6,1,4]=>[4,1,-6,5,2,-3,-7,-8]
[-8,-7,-5,-3,2,-6,1,4]=>[4,1,-6,2,-3,-5,-7,-8]
[5,-8,-7,2,4,-6,-3,1]=>[1,-3,-6,4,2,-7,-8,5]
[7,8,-6,2,3,5,-4,1]=>[1,-4,5,3,2,-6,8,7]
[6,7,8,2,5,-4,1,3]=>[3,1,-4,5,2,8,7,6]
[-5,8,-7,2,-6,-4,1,3]=>[3,1,-4,-6,2,-7,8,-5]
[-8,6,2,-7,-5,-4,1,3]=>[3,1,-4,-5,-7,2,6,-8]
[-6,-8,1,-7,-5,-4,2,3]=>[3,2,-4,-5,-7,1,-8,-6]
[-8,-6,-3,-7,-5,1,2,4]=>[4,2,1,-5,-7,-3,-6,-8]
[-8,2,6,-7,-5,1,3,4]=>[4,3,1,-5,-7,6,2,-8]
[-8,-7,2,5,-6,1,3,4]=>[4,3,1,-6,5,2,-7,-8]
[-8,-7,-5,-3,-6,1,2,4]=>[4,2,1,-6,-3,-5,-7,-8]
[6,7,8,5,-4,1,2,3]=>[3,2,1,-4,5,8,7,6]
[6,7,8,1,4,-5,2,3]=>[3,2,-5,4,1,8,7,6]
[2,7,8,-6,4,-5,1,3]=>[3,1,-5,4,-6,8,7,2]
[-4,7,8,-6,2,-5,1,3]=>[3,1,-5,2,-6,8,7,-4]
[4,7,8,-6,2,3,-5,1]=>[1,-5,3,2,-6,8,7,4]
[4,6,7,8,2,3,-5,1]=>[1,-5,3,2,8,7,6,4]
[-6,4,7,8,2,-5,1,3]=>[3,1,-5,2,8,7,4,-6]
[-4,7,8,-6,1,-5,2,3]=>[3,2,-5,1,-6,8,7,-4]
[7,8,-6,-4,5,1,2,3]=>[3,2,1,5,-4,-6,8,7]
[8,-7,-6,3,5,1,2,4]=>[4,2,1,5,3,-6,-7,8]
[-8,-7,-5,2,-6,1,3,4]=>[4,3,1,-6,2,-5,-7,-8]
[-8,-7,-5,4,-6,-2,1,3]=>[3,1,-2,-6,4,-5,-7,-8]
[5,8,-7,4,-6,-3,1,2]=>[2,1,-3,-6,4,-7,8,5]
[6,7,8,3,5,-4,1,2]=>[2,1,-4,5,3,8,7,6]
[-4,7,8,-6,3,-5,1,2]=>[2,1,-5,3,-6,8,7,-4]
[-6,4,7,8,3,-5,1,2]=>[2,1,-5,3,8,7,4,-6]
[4,6,7,8,-5,3,1,2]=>[2,1,3,-5,8,7,6,4]
[3,6,7,8,-4,2,-5,1]=>[1,-5,2,-4,8,7,6,3]
[6,1,7,2,3,4,5,8]=>[8,5,4,3,2,7,1,6]
[4,7,1,2,3,5,6,8]=>[8,6,5,3,2,1,7,4]
[1,2,5,6,7,8,3,4]=>[4,3,8,7,6,5,2,1]
[-2,1,-4,3,-6,5,-8,7]=>[7,-8,5,-6,3,-4,1,-2]
[3,4,1,2,-6,5,-8,7]=>[7,-8,5,-6,2,1,4,3]
[2,-4,-3,1,-6,5,-8,7]=>[7,-8,5,-6,1,-3,-4,2]
[-5,2,-3,6,1,4,-8,7]=>[7,-8,4,1,6,-3,2,-5]
[2,-6,4,-3,-5,1,-8,7]=>[7,-8,1,-5,-3,4,-6,2]
[-7,2,4,-3,-5,8,1,6]=>[6,1,8,-5,-3,4,2,-7]
[2,-8,4,-3,6,-5,-7,1]=>[1,-7,-5,6,-3,4,-8,2]
[5,8,2,3,6,-4,-7,1]=>[1,-7,-4,6,3,2,8,5]
[5,2,7,3,-4,8,1,6]=>[6,1,8,-4,3,7,2,5]
[5,6,2,3,-4,1,-8,7]=>[7,-8,1,-4,3,2,6,5]
[2,-5,-4,6,1,3,-8,7]=>[7,-8,3,1,6,-4,-5,2]
[1,4,5,6,2,3,-8,7]=>[7,-8,3,2,6,5,4,1]
[5,6,1,-3,2,4,-8,7]=>[7,-8,4,2,-3,1,6,5]
[-2,-5,1,6,3,4,-8,7]=>[7,-8,4,3,6,1,-5,-2]
[-2,1,4,-6,-5,3,-8,7]=>[7,-8,3,-5,-6,4,1,-2]
[4,-6,1,-3,-5,2,-8,7]=>[7,-8,2,-5,-3,1,-6,4]
[5,6,3,1,-4,2,-8,7]=>[7,-8,2,-4,1,3,6,5]
[5,6,-4,3,1,2,-8,7]=>[7,-8,2,1,3,-4,6,5]
[3,2,-6,-5,-4,1,-8,7]=>[7,-8,1,-4,-5,-6,2,3]
[3,-7,2,-5,-4,8,1,6]=>[6,1,8,-4,-5,2,-7,3]
[3,2,-8,-5,6,-4,-7,1]=>[1,-7,-4,6,-5,-8,2,3]
[7,-3,8,-6,2,5,-4,1]=>[1,-4,5,2,-6,8,-3,7]
[-7,3,8,-6,2,-4,1,5]=>[5,1,-4,2,-6,8,3,-7]
[-4,6,7,3,1,8,2,5]=>[5,2,8,1,3,7,6,-4]
[-7,3,8,-5,1,-4,2,6]=>[6,2,-4,1,-5,8,3,-7]
[5,3,7,1,-4,8,2,6]=>[6,2,8,-4,1,7,3,5]
[-7,4,1,-3,-5,8,2,6]=>[6,2,8,-5,-3,1,4,-7]
[-2,1,-7,4,-5,8,3,6]=>[6,3,8,-5,4,-7,1,-2]
[-2,1,4,-8,6,-5,-7,3]=>[3,-7,-5,6,-8,4,1,-2]
[4,-8,1,-3,6,-5,-7,2]=>[2,-7,-5,6,-3,1,-8,4]
[5,8,3,1,6,-4,-7,2]=>[2,-7,-4,6,1,3,8,5]
[3,6,-8,-5,1,-4,-7,2]=>[2,-7,-4,1,-5,-8,6,3]
[7,-3,8,-6,5,1,-4,2]=>[2,-4,1,5,-6,8,-3,7]
[7,8,-4,3,-6,5,1,2]=>[2,1,5,-6,3,-4,8,7]
[3,5,-8,2,-7,-4,-6,1]=>[1,-6,-4,-7,2,-8,5,3]
[7,8,3,4,2,-6,-5,1]=>[1,-5,-6,2,4,3,8,7]
[7,8,-3,-6,4,1,-5,2]=>[2,-5,1,4,-6,-3,8,7]
[1,6,7,8,3,4,-5,2]=>[2,-5,4,3,8,7,6,1]
[7,8,3,1,-6,5,-4,2]=>[2,-4,5,-6,1,3,8,7]
[-7,8,-3,1,4,5,-6,2]=>[2,-6,5,4,1,-3,8,-7]
[-2,-7,1,8,4,5,-6,3]=>[3,-6,5,4,8,1,-7,-2]
[-2,1,4,-7,-6,8,3,5]=>[5,3,8,-6,-7,4,1,-2]
[7,8,1,4,-6,-3,2,5]=>[5,2,-3,-6,4,1,8,7]
[3,-7,8,-6,1,-4,2,5]=>[5,2,-4,1,-6,8,-7,3]
[3,6,7,8,-5,1,2,4]=>[4,2,1,-5,8,7,6,3]
[3,8,-7,-6,-5,2,1,4]=>[4,1,2,-5,-6,-7,8,3]
[7,8,-3,-6,2,4,-5,1]=>[1,-5,4,2,-6,-3,8,7]
[5,6,7,8,3,4,-2,1]=>[1,-2,4,3,8,7,6,5]
[2,6,7,8,-5,3,1,4]=>[4,1,3,-5,8,7,6,2]
[-6,2,-5,7,1,8,3,4]=>[4,3,8,1,7,-5,2,-6]
[-4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,-4]
[1,6,7,-3,2,8,4,5]=>[5,4,8,2,-3,7,6,1]
[-6,-2,1,3,7,8,4,5]=>[5,4,8,7,3,1,-2,-6]
[-2,-7,1,8,3,-5,4,6]=>[6,4,-5,3,8,1,-7,-2]
[7,8,1,-3,2,-5,4,6]=>[6,4,-5,2,-3,1,8,7]
[5,1,7,8,2,-4,3,6]=>[6,3,-4,2,8,7,1,5]
[2,-7,8,-5,1,-4,3,6]=>[6,3,-4,1,-5,8,-7,2]
[-6,2,-4,1,7,8,3,5]=>[5,3,8,7,1,-4,2,-6]
[2,-7,8,-6,3,-4,1,5]=>[5,1,-4,3,-6,8,-7,2]
[7,8,2,3,-6,5,-4,1]=>[1,-4,5,-6,3,2,8,7]
[-7,2,-3,8,4,5,-6,1]=>[1,-6,5,4,8,-3,2,-7]
[-7,2,4,8,-6,-3,1,5]=>[5,1,-3,-6,8,4,2,-7]
[6,2,-3,1,7,8,4,5]=>[5,4,8,7,1,-3,2,6]
[-7,2,-3,8,1,-5,4,6]=>[6,4,-5,1,8,-3,2,-7]
[2,-4,-3,-7,1,8,5,6]=>[6,5,8,1,-7,-3,-4,2]
[3,4,1,-7,2,8,5,6]=>[6,5,8,2,-7,1,4,3]
[-2,1,-4,-7,3,8,5,6]=>[6,5,8,3,-7,-4,1,-2]
[-2,1,-4,3,6,-8,-7,5]=>[5,-7,-8,6,3,-4,1,-2]
[3,4,1,2,6,-8,-7,5]=>[5,-7,-8,6,2,1,4,3]
[2,-4,-3,1,6,-8,-7,5]=>[5,-7,-8,6,1,-3,-4,2]
[2,-8,6,-3,1,-5,-7,4]=>[4,-7,-5,1,-3,6,-8,2]
[-7,2,-3,8,5,1,-6,4]=>[4,-6,1,5,8,-3,2,-7]
[-7,2,-3,8,-6,5,1,4]=>[4,1,5,-6,8,-3,2,-7]
[2,-8,5,4,-3,-7,-6,1]=>[1,-6,-7,-3,4,5,-8,2]
[5,2,-8,3,-7,-4,-6,1]=>[1,-6,-4,-7,3,-8,2,5]
[2,-7,-4,8,-6,5,1,3]=>[3,1,5,-6,8,-4,-7,2]
[2,-7,8,-6,5,1,-4,3]=>[3,-4,1,5,-6,8,-7,2]
[6,2,-8,-5,1,-4,-7,3]=>[3,-7,-4,1,-5,-8,2,6]
[5,8,6,1,2,-4,-7,3]=>[3,-7,-4,2,1,6,8,5]
[6,-8,1,-3,2,-5,-7,4]=>[4,-7,-5,2,-3,1,-8,6]
[-2,1,6,-8,3,-5,-7,4]=>[4,-7,-5,3,-8,6,1,-2]
[-2,-7,1,8,5,3,-6,4]=>[4,-6,3,5,8,1,-7,-2]
[7,8,1,-3,5,2,-6,4]=>[4,-6,2,5,-3,1,8,7]
[7,8,5,1,-6,2,-4,3]=>[3,-4,2,-6,1,5,8,7]
[1,6,7,8,4,2,-5,3]=>[3,-5,2,4,8,7,6,1]
[2,8,-7,-6,4,1,-5,3]=>[3,-5,1,4,-6,-7,8,2]
[2,6,7,-5,8,4,1,3]=>[3,1,4,8,-5,7,6,2]
[7,8,4,2,3,-6,-5,1]=>[1,-5,-6,3,2,4,8,7]
[7,8,4,-6,2,3,-5,1]=>[1,-5,3,2,-6,4,8,7]
[2,8,-7,-6,-5,4,1,3]=>[3,1,4,-5,-6,-7,8,2]
[1,6,7,8,-5,4,2,3]=>[3,2,4,-5,8,7,6,1]
[7,8,5,-4,-6,1,2,3]=>[3,2,1,-6,-4,5,8,7]
[7,8,1,-3,-6,5,2,4]=>[4,2,5,-6,-3,1,8,7]
[-2,-7,1,8,-6,5,3,4]=>[4,3,5,-6,8,1,-7,-2]
[-2,1,5,4,-8,-7,-6,3]=>[3,-6,-7,-8,4,5,1,-2]
[5,-8,1,4,-3,-7,-6,2]=>[2,-6,-7,-3,4,1,-8,5]
[5,3,-8,1,-7,-4,-6,2]=>[2,-6,-4,-7,1,-8,3,5]
[7,8,4,3,1,-6,-5,2]=>[2,-5,-6,1,3,4,8,7]
[7,8,4,-6,3,1,-5,2]=>[2,-5,1,3,-6,4,8,7]
[7,8,4,-6,-5,3,1,2]=>[2,1,3,-5,-6,4,8,7]
[4,3,2,-8,-7,-6,-5,1]=>[1,-5,-6,-7,-8,2,3,4]
[7,3,8,4,5,6,1,2]=>[2,1,6,5,4,8,3,7]
[-2,-3,-4,1,-6,5,-8,7]=>[7,-8,5,-6,1,-4,-3,-2]
[-2,-5,-3,6,1,4,-8,7]=>[7,-8,4,1,6,-3,-5,-2]
[-2,-5,4,-3,-6,1,-8,7]=>[7,-8,1,-6,-3,4,-5,-2]
[-2,-5,4,-7,-3,8,1,6]=>[6,1,8,-3,-7,4,-5,-2]
[-2,-5,-3,4,6,-7,-8,1]=>[1,-8,-7,6,4,-3,-5,-2]
[7,5,2,3,6,-4,-8,1]=>[1,-8,-4,6,3,2,5,7]
[4,5,2,-7,3,8,1,6]=>[6,1,8,3,-7,2,5,4]
[4,5,2,3,-6,1,-8,7]=>[7,-8,1,-6,3,2,5,4]
[6,-4,-5,2,1,3,-8,7]=>[7,-8,3,1,2,-5,-4,6]
[-2,1,-4,-5,-6,3,-8,7]=>[7,-8,3,-6,-5,-4,1,-2]
[-5,4,1,-3,-6,2,-8,7]=>[7,-8,2,-6,-3,1,4,-5]
[5,-4,3,1,-6,2,-8,7]=>[7,-8,2,-6,1,3,-4,5]
[4,-6,-5,3,1,2,-8,7]=>[7,-8,2,1,3,-5,-6,4]
[-2,-3,-4,-5,-6,1,-8,7]=>[7,-8,1,-6,-5,-4,-3,-2]
[-2,-3,-4,-7,-5,8,1,6]=>[6,1,8,-5,-7,-4,-3,-2]
[-2,-3,-4,-7,6,-5,-8,1]=>[1,-8,-5,6,-7,-4,-3,-2]
[-7,-3,-8,-6,2,5,-4,1]=>[1,-4,5,2,-6,-8,-3,-7]
[8,-3,-4,-6,-7,2,1,5]=>[5,1,2,-7,-6,-4,-3,8]
[-7,-6,4,3,1,8,2,5]=>[5,2,8,1,3,4,-6,-7]
[-3,8,-7,-4,1,-5,2,6]=>[6,2,-5,1,-4,-7,8,-3]
[5,-4,3,-7,1,8,2,6]=>[6,2,8,1,-7,3,-4,5]
[-5,4,1,-7,-3,8,2,6]=>[6,2,8,-3,-7,1,4,-5]
[-2,1,-4,-7,-5,8,3,6]=>[6,3,8,-5,-7,-4,1,-2]
[-2,1,-4,-7,6,-5,-8,3]=>[3,-8,-5,6,-7,-4,1,-2]
[-5,4,-3,1,6,-7,-8,2]=>[2,-8,-7,6,1,-3,4,-5]
[-4,5,3,1,6,-7,-8,2]=>[2,-8,-7,6,1,3,5,-4]
[6,-3,-7,-4,1,-5,-8,2]=>[2,-8,-5,1,-4,-7,-3,6]
[-3,-4,-8,7,5,1,-6,2]=>[2,-6,1,5,7,-8,-4,-3]
[-6,-8,4,3,-7,5,1,2]=>[2,1,5,-7,3,4,-8,-6]
[-5,-3,-6,2,-7,-4,-8,1]=>[1,-8,-4,-7,2,-6,-3,-5]
[-5,6,3,4,2,-7,-8,1]=>[1,-8,-7,2,4,3,6,-5]
[3,7,-5,-8,4,1,-6,2]=>[2,-6,1,4,-8,-5,7,3]
[5,1,6,7,3,4,-8,2]=>[2,-8,4,3,7,6,1,5]
[7,-6,3,1,-8,5,-4,2]=>[2,-4,5,-8,1,3,-6,7]
[-6,-3,1,7,4,5,-8,2]=>[2,-8,5,4,7,1,-3,-6]
[-7,-2,-6,1,4,5,-8,3]=>[3,-8,5,4,1,-6,-2,-7]
[-2,-8,1,-6,-7,4,3,5]=>[5,3,4,-7,-6,1,-8,-2]
[6,1,8,4,-7,-3,2,5]=>[5,2,-3,-7,4,8,1,6]
[-8,-6,3,1,-7,-4,2,5]=>[5,2,-4,-7,1,3,-6,-8]
[5,6,3,8,-7,1,2,4]=>[4,2,1,-7,8,3,6,5]
[7,-6,5,8,3,1,2,4]=>[4,2,1,3,8,5,-6,7]
[-8,-3,-5,-6,-7,2,1,4]=>[4,1,2,-7,-6,-5,-3,-8]
[-7,3,-5,-8,2,4,-6,1]=>[1,-6,4,2,-8,-5,3,-7]
[5,8,6,7,3,4,-2,1]=>[1,-2,4,3,7,6,8,5]
[2,5,6,8,-7,3,1,4]=>[4,1,3,-7,8,6,5,2]
[2,-5,-6,7,1,8,3,4]=>[4,3,8,1,7,-6,-5,2]
[8,-7,2,-4,1,-5,3,6]=>[6,3,-5,1,-4,2,-7,8]
[-4,-6,7,2,1,8,3,5]=>[5,3,8,1,2,7,-6,-4]
[2,-6,8,3,-7,-4,1,5]=>[5,1,-4,-7,3,8,-6,2]
[-6,2,7,-4,3,5,-8,1]=>[1,-8,5,3,-4,7,2,-6]
[-6,2,-3,7,4,5,-8,1]=>[1,-8,5,4,7,-3,2,-6]
[-6,-2,4,8,-7,-3,1,5]=>[5,1,-3,-7,8,4,-2,-6]
[-6,-2,-3,1,7,8,4,5]=>[5,4,8,7,1,-3,-2,-6]
[-2,-7,-3,8,1,-5,4,6]=>[6,4,-5,1,8,-3,-7,-2]
[-2,-3,-4,-7,1,8,5,6]=>[6,5,8,1,-7,-4,-3,-2]
[-2,1,-4,3,-6,-7,-8,5]=>[5,-8,-7,-6,3,-4,1,-2]
[3,4,1,2,-6,-7,-8,5]=>[5,-8,-7,-6,2,1,4,3]
[-2,-3,-4,1,-6,-7,-8,5]=>[5,-8,-7,-6,1,-4,-3,-2]
[-2,-3,-7,6,1,-5,-8,4]=>[4,-8,-5,1,6,-7,-3,-2]
[-2,-7,-3,-6,5,1,-8,4]=>[4,-8,1,5,-6,-3,-7,-2]
[-2,-6,-3,-8,-7,5,1,4]=>[4,1,5,-7,-8,-3,-6,-2]
[-2,-5,4,-3,-6,-7,-8,1]=>[1,-8,-7,-6,-3,4,-5,-2]
[-6,5,2,3,-4,-7,-8,1]=>[1,-8,-7,-4,3,2,5,-6]
[-8,6,-4,2,-7,5,1,3]=>[3,1,5,-7,2,-4,6,-8]
[7,-8,-4,2,5,1,-6,3]=>[3,-6,1,5,2,-4,-8,7]
[6,2,-7,-4,1,-5,-8,3]=>[3,-8,-5,1,-4,-7,2,6]
[5,7,1,6,2,-4,-8,3]=>[3,-8,-4,2,6,1,7,5]
[-7,6,1,-3,2,-5,-8,4]=>[4,-8,-5,2,-3,1,6,-7]
[-2,1,-7,6,3,-5,-8,4]=>[4,-8,-5,3,6,-7,1,-2]
[-2,-7,1,-6,5,3,-8,4]=>[4,-8,3,5,-6,1,-7,-2]
[7,5,1,-6,-3,2,-8,4]=>[4,-8,2,-3,-6,1,5,7]
[8,7,1,5,-6,2,-4,3]=>[3,-4,2,-6,5,1,7,8]
[5,6,7,1,4,2,-8,3]=>[3,-8,2,4,1,7,6,5]
[4,-7,-5,-6,2,1,-8,3]=>[3,-8,1,2,-6,-5,-7,4]
[-8,5,6,-7,2,4,1,3]=>[3,1,4,2,-7,6,5,-8]
[6,4,-5,2,3,-7,-8,1]=>[1,-8,-7,3,2,-5,4,6]
[5,4,-7,-6,2,3,-8,1]=>[1,-8,3,2,-6,-7,4,5]
[4,-5,-8,-6,-7,2,1,3]=>[3,1,2,-7,-6,-8,-5,4]
[7,8,-6,5,1,4,2,3]=>[3,2,4,1,5,-6,8,7]
[5,8,6,1,-7,4,2,3]=>[3,2,4,-7,1,6,8,5]
[8,1,6,-4,-7,5,2,3]=>[3,2,5,-7,-4,6,1,8]
[6,5,1,-8,-7,-3,2,4]=>[4,2,-3,-7,-8,1,5,6]
[-2,-6,1,-8,-7,5,3,4]=>[4,3,5,-7,-8,1,-6,-2]
[-2,1,-4,-5,-6,-7,-8,3]=>[3,-8,-7,-6,-5,-4,1,-2]
[-5,4,1,-3,-6,-7,-8,2]=>[2,-8,-7,-6,-3,1,4,-5]
[-5,-6,3,1,-4,-7,-8,2]=>[2,-8,-7,-4,1,3,-6,-5]
[4,-6,-5,3,1,-7,-8,2]=>[2,-8,-7,1,3,-5,-6,4]
[4,-5,-7,-6,3,1,-8,2]=>[2,-8,1,3,-6,-7,-5,4]
[4,-5,-6,-8,-7,3,1,2]=>[2,1,3,-7,-8,-6,-5,4]
[-2,-3,-4,-5,-6,-7,-8,1]=>[1,-8,-7,-6,-5,-4,-3,-2]
[4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4]
[-6,5,-8,7,3,4,1,2]=>[2,1,4,3,7,-8,5,-6]
[-6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,-6]
[-4,8,-7,3,-6,5,1,2]=>[2,1,5,-6,3,-7,8,-4]
[-6,-4,7,3,5,8,1,2]=>[2,1,8,5,3,7,-4,-6]
[-5,-7,2,8,-6,1,-4,3]=>[3,-4,1,-6,8,2,-7,-5]
[-6,7,-4,2,5,1,3,8]=>[8,3,1,5,2,-4,7,-6]
[-4,-5,-2,-7,6,1,3,8]=>[8,3,1,6,-7,-2,-5,-4]
[-2,-6,8,-4,-5,1,-7,3]=>[3,-7,1,-5,-4,8,-6,-2]
[-4,-5,3,-7,6,8,1,2]=>[2,1,8,6,-7,3,-5,-4]
[-4,-5,3,8,-7,6,1,2]=>[2,1,6,-7,8,3,-5,-4]
[-4,-5,3,-7,-8,6,1,2]=>[2,1,6,-8,-7,3,-5,-4]
[-4,-8,7,3,-6,5,1,2]=>[2,1,5,-6,3,7,-8,-4]
[-7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,-7]
[-6,-4,3,8,5,7,1,2]=>[2,1,7,5,8,3,-4,-6]
[-4,-5,-8,3,6,7,1,2]=>[2,1,7,6,3,-8,-5,-4]
[-4,-5,3,6,-8,7,1,2]=>[2,1,7,-8,6,3,-5,-4]
[-4,-5,3,6,7,8,1,2]=>[2,1,8,7,6,3,-5,-4]
[-2,-6,7,8,-4,1,-5,3]=>[3,-5,1,-4,8,7,-6,-2]
[-4,-5,-2,6,7,1,3,8]=>[8,3,1,7,6,-2,-5,-4]
[-2,-3,7,-6,1,-5,4,8]=>[8,4,-5,1,-6,7,-3,-2]
[-2,-3,7,-6,1,8,-5,4]=>[4,-5,8,1,-6,7,-3,-2]
[-2,-3,7,-6,1,-5,-8,4]=>[4,-8,-5,1,-6,7,-3,-2]
[-2,-6,8,-4,7,1,-5,3]=>[3,-5,1,7,-4,8,-6,-2]
[-2,-6,7,-4,-8,1,-5,3]=>[3,-5,1,-8,-4,7,-6,-2]
[5,-8,2,7,-6,1,-4,3]=>[3,-4,1,-6,7,2,-8,5]
[-5,-8,2,-4,6,1,-7,3]=>[3,-7,1,6,-4,2,-8,-5]
[8,-7,4,2,5,1,3,6]=>[6,3,1,5,2,4,-7,8]
[-6,-4,8,2,5,1,3,7]=>[7,3,1,5,2,8,-4,-6]
[-4,-5,-8,-2,6,1,3,7]=>[7,3,1,6,-2,-8,-5,-4]
[-4,-5,-2,6,1,8,3,7]=>[7,3,8,1,6,-2,-5,-4]
[-2,-3,-6,8,1,-5,4,7]=>[7,4,-5,1,8,-6,-3,-2]
[-2,-5,-3,6,1,4,7,8]=>[8,7,4,1,6,-3,-5,-2]
[-2,-3,-4,1,-6,5,7,8]=>[8,7,5,-6,1,-4,-3,-2]
[-2,-3,-4,1,-6,8,5,7]=>[7,5,8,-6,1,-4,-3,-2]
[-2,-3,-4,1,-8,-6,5,7]=>[7,5,-6,-8,1,-4,-3,-2]
[-2,-8,-3,6,1,-5,4,7]=>[7,4,-5,1,6,-3,-8,-2]
[5,-8,2,-3,1,-6,4,7]=>[7,4,-6,1,-3,2,-8,5]
[2,-8,-5,-3,-7,1,4,6]=>[6,4,1,-7,-3,-5,-8,2]
[-5,-8,2,-3,1,6,-7,4]=>[4,-7,6,1,-3,2,-8,-5]
[2,5,-8,-3,1,7,-6,4]=>[4,-6,7,1,-3,-8,5,2]
[-2,-3,-8,1,6,7,-5,4]=>[4,-5,7,6,1,-8,-3,-2]
[-2,-3,-4,-6,1,7,-8,5]=>[5,-8,7,1,-6,-4,-3,-2]
[-2,-3,-4,1,7,-6,-8,5]=>[5,-8,-6,7,1,-4,-3,-2]
[-2,-3,-4,1,7,8,-6,5]=>[5,-6,8,7,1,-4,-3,-2]
[-2,-3,-4,1,7,-6,5,8]=>[8,5,-6,7,1,-4,-3,-2]
[-2,-3,-4,1,-6,-7,5,8]=>[8,5,-7,-6,1,-4,-3,-2]
[-2,-3,-4,1,-6,8,-7,5]=>[5,-7,8,-6,1,-4,-3,-2]
[-2,-3,-4,1,6,-8,-7,5]=>[5,-7,-8,6,1,-4,-3,-2]
[5,2,-3,-7,1,-8,-6,4]=>[4,-6,-8,1,-7,-3,2,5]
[2,-5,-6,-3,1,-8,-7,4]=>[4,-7,-8,1,-3,-6,-5,2]
[-6,-8,-4,2,5,1,-7,3]=>[3,-7,1,5,2,-4,-8,-6]
[-2,-7,-4,-5,6,1,-8,3]=>[3,-8,1,6,-5,-4,-7,-2]
[-2,-7,-4,8,6,1,-5,3]=>[3,-5,1,6,8,-4,-7,-2]
[-2,-3,6,-8,1,-5,-7,4]=>[4,-7,-5,1,-8,6,-3,-2]
[-2,-3,-7,6,1,8,-5,4]=>[4,-5,8,1,6,-7,-3,-2]
[-2,-3,-7,6,1,-5,4,8]=>[8,4,-5,1,6,-7,-3,-2]
[5,2,-7,-3,1,-6,4,8]=>[8,4,-6,1,-3,-7,2,5]
[5,2,-7,-3,1,8,-6,4]=>[4,-6,8,1,-3,-7,2,5]
[-5,2,-3,-8,1,-7,-6,4]=>[4,-6,-7,1,-8,-3,2,-5]
[8,2,-7,-6,5,1,-4,3]=>[3,-4,1,5,-6,-7,2,8]
[8,2,-7,-5,4,1,-6,3]=>[3,-6,1,4,-5,-7,2,8]
[2,6,-5,-8,4,1,-7,3]=>[3,-7,1,4,-8,-5,6,2]
[-8,2,-7,5,1,6,3,4]=>[4,3,6,1,5,-7,2,-8]
[5,-6,-8,7,2,1,3,4]=>[4,3,1,2,7,-8,-6,5]
[8,2,-7,-3,-6,1,4,5]=>[5,4,1,-6,-3,-7,2,8]
[8,2,-7,-3,1,4,-6,5]=>[5,-6,4,1,-3,-7,2,8]
[2,-6,7,-3,1,4,5,8]=>[8,5,4,1,-3,7,-6,2]
[-2,-5,-3,1,7,4,6,8]=>[8,6,4,7,1,-3,-5,-2]
[-2,-5,-3,8,1,4,-7,6]=>[6,-7,4,1,8,-3,-5,-2]
[-4,-5,-2,1,7,8,3,6]=>[6,3,8,7,1,-2,-5,-4]
[-4,-5,-8,-2,1,7,3,6]=>[6,3,7,1,-2,-8,-5,-4]
[-6,-4,8,2,1,7,3,5]=>[5,3,7,1,2,8,-4,-6]
[8,-7,4,2,1,6,3,5]=>[5,3,6,1,2,4,-7,8]
[-6,-8,2,-3,-7,1,4,5]=>[5,4,1,-7,-3,2,-8,-6]
[2,7,-8,-3,-6,1,4,5]=>[5,4,1,-6,-3,-8,7,2]
[-2,-8,-3,1,7,-5,4,6]=>[6,4,-5,7,1,-3,-8,-2]
[-2,-3,-4,-7,-8,1,5,6]=>[6,5,1,-8,-7,-4,-3,-2]
[-2,-3,-4,1,-8,5,-7,6]=>[6,-7,5,-8,1,-4,-3,-2]
[-2,-3,-4,-7,1,5,6,8]=>[8,6,5,1,-7,-4,-3,-2]
[-2,-3,-4,1,5,-7,6,8]=>[8,6,-7,5,1,-4,-3,-2]
[-2,-3,-4,1,5,8,-7,6]=>[6,-7,8,5,1,-4,-3,-2]
[-2,-3,-4,1,5,-7,-8,6]=>[6,-8,-7,5,1,-4,-3,-2]
[-2,-3,-4,-7,1,5,-8,6]=>[6,-8,5,1,-7,-4,-3,-2]
[-2,-5,-3,1,7,4,-8,6]=>[6,-8,4,7,1,-3,-5,-2]
[2,7,-8,-3,1,4,-6,5]=>[5,-6,4,1,-3,-8,7,2]
[-6,-8,2,-3,1,4,-7,5]=>[5,-7,4,1,-3,2,-8,-6]
[-7,8,2,-3,1,4,5,6]=>[6,5,4,1,-3,2,8,-7]
[2,-6,-3,8,1,4,5,7]=>[7,5,4,1,8,-3,-6,2]
[-2,-5,-3,1,4,8,6,7]=>[7,6,8,4,1,-3,-5,-2]
[-2,-3,-8,-4,1,5,6,7]=>[7,6,5,1,-4,-8,-3,-2]
[-2,-3,-4,1,-8,5,6,7]=>[7,6,5,-8,1,-4,-3,-2]
[-2,-3,-4,1,5,6,-8,7]=>[7,-8,6,5,1,-4,-3,-2]
[-2,-3,-4,1,5,6,7,8]=>[8,7,6,5,1,-4,-3,-2]
[1,2,7,5,6,8,3,4]=>[4,3,8,6,5,7,2,1]
[2,-1,4,-3,6,-5,8,-7]=>[-7,8,-5,6,-3,4,-1,2]
[3,4,1,2,6,-5,8,-7]=>[-7,8,-5,6,2,1,4,3]
[4,1,-3,-2,6,-5,8,-7]=>[-7,8,-5,6,-2,-3,1,4]
[5,2,-3,6,-1,4,8,-7]=>[-7,8,4,-1,6,-3,2,5]
[6,1,-4,3,-5,-2,8,-7]=>[-7,8,-2,-5,3,-4,1,6]
[7,2,-4,3,-5,8,-1,6]=>[6,-1,8,-5,3,-4,2,7]
[8,1,-4,3,-6,5,-7,-2]=>[-2,-7,5,-6,3,-4,1,8]
[8,3,4,-6,1,5,-7,2]=>[2,-7,5,1,-6,4,3,8]
[7,2,4,-5,1,8,3,6]=>[6,3,8,1,-5,4,2,7]
[6,3,4,-5,1,2,8,-7]=>[-7,8,2,1,-5,4,3,6]
[5,1,6,-3,-2,4,8,-7]=>[-7,8,4,-2,-3,6,1,5]
[1,5,6,2,3,4,8,-7]=>[-7,8,4,3,2,6,5,1]
[3,5,-4,6,1,2,8,-7]=>[-7,8,2,1,6,-4,5,3]
[3,-1,5,6,-2,4,8,-7]=>[-7,8,4,-2,6,5,-1,3]
[2,-1,6,3,-5,-4,8,-7]=>[-7,8,-4,-5,3,6,-1,2]
[3,6,-4,1,-5,-2,8,-7]=>[-7,8,-2,-5,1,-4,6,3]
[4,6,3,-5,1,2,8,-7]=>[-7,8,2,1,-5,3,6,4]
[5,6,4,-3,1,2,8,-7]=>[-7,8,2,1,-3,4,6,5]
[6,2,1,-5,-4,-3,8,-7]=>[-7,8,-3,-4,-5,1,2,6]
[7,3,1,-5,-4,8,-2,6]=>[6,-2,8,-4,-5,1,3,7]
[8,2,1,-6,-4,5,-7,-3]=>[-3,-7,5,-4,-6,1,2,8]
[8,5,-2,-7,6,-4,1,3]=>[3,1,-4,6,-7,-2,5,8]
[7,5,2,-6,8,-4,-1,3]=>[3,-1,-4,8,-6,2,5,7]
[5,7,4,-1,8,2,3,6]=>[6,3,2,8,-1,4,7,5]
[5,7,2,-6,-4,8,-1,3]=>[3,-1,8,-4,-6,2,7,5]
[4,7,2,-5,1,8,3,6]=>[6,3,8,1,-5,2,7,4]
[3,7,-4,2,-5,8,-1,6]=>[6,-1,8,-5,2,-4,7,3]
[2,-1,7,4,-5,8,-3,6]=>[6,-3,8,-5,4,7,-1,2]
[2,-1,8,3,-6,5,-7,-4]=>[-4,-7,5,-6,3,8,-1,2]
[3,8,-4,1,-6,5,-7,-2]=>[-2,-7,5,-6,1,-4,8,3]
[4,8,3,-6,1,5,-7,2]=>[2,-7,5,1,-6,3,8,4]
[5,8,1,-6,-4,2,-7,-3]=>[-3,-7,2,-4,-6,1,8,5]
[6,8,-2,-7,5,-4,1,3]=>[3,1,-4,5,-7,-2,8,6]
[7,8,4,-3,6,-5,1,2]=>[2,1,-5,6,-3,4,8,7]
[8,4,1,-6,2,-7,-5,-3]=>[-3,-5,-7,2,-6,1,4,8]
[8,5,3,4,-7,-6,1,2]=>[2,1,-6,-7,4,3,5,8]
[6,8,-3,5,-7,-4,1,2]=>[2,1,-4,-7,5,-3,8,6]
[1,8,5,6,-7,2,3,4]=>[4,3,2,-7,6,5,8,1]
[4,8,3,-7,6,-5,1,2]=>[2,1,-5,6,-7,3,8,4]
[4,8,-3,5,6,-7,-1,2]=>[2,-1,-7,6,5,-3,8,4]
[3,-1,8,5,6,-7,-2,4]=>[4,-2,-7,6,5,8,-1,3]
[2,-1,7,3,8,-5,-4,6]=>[6,-4,-5,8,3,7,-1,2]
[3,7,-6,4,8,-5,1,2]=>[2,1,-5,8,4,-6,7,3]
[5,7,1,-6,8,-4,-2,3]=>[3,-2,-4,8,-6,1,7,5]
[6,7,1,8,-5,2,3,4]=>[4,3,2,-5,8,1,7,6]
[7,6,1,8,-5,-4,-3,2]=>[2,-3,-4,-5,8,1,6,7]
[8,5,-3,6,-7,-4,1,2]=>[2,1,-4,-7,6,-3,5,8]
[8,-7,5,6,1,2,3,4]=>[4,3,2,1,6,5,-7,8]
[7,1,6,8,-5,2,3,4]=>[4,3,2,-5,8,6,1,7]
[5,2,7,8,-3,-1,4,6]=>[6,4,-1,-3,8,7,2,5]
[1,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,1]
[5,6,7,-1,8,2,3,4]=>[4,3,2,8,-1,7,6,5]
[1,5,-4,7,8,2,3,6]=>[6,3,2,8,7,-4,5,1]
[3,-2,4,7,8,-1,5,6]=>[6,5,-1,8,7,4,-2,3]
[3,-1,5,7,-6,8,-2,4]=>[4,-2,8,-6,7,5,-1,3]
[3,5,-4,7,-6,8,1,2]=>[2,1,8,-6,7,-4,5,3]
[2,5,7,-6,1,8,3,4]=>[4,3,8,1,-6,7,5,2]
[5,1,7,-6,-4,8,-2,3]=>[3,-2,8,-4,-6,7,1,5]
[4,2,7,-3,8,-1,5,6]=>[6,5,-1,8,-3,7,2,4]
[7,1,5,-6,8,-4,-2,3]=>[3,-2,-4,8,-6,5,1,7]
[8,3,4,-7,6,-5,1,2]=>[2,1,-5,6,-7,4,3,8]
[8,2,-3,5,6,-7,-1,4]=>[4,-1,-7,6,5,-3,2,8]
[7,2,-6,3,8,-5,-1,4]=>[4,-1,-5,8,3,-6,2,7]
[4,2,-3,7,8,1,5,6]=>[6,5,1,8,7,-3,2,4]
[5,2,-3,7,-6,8,-1,4]=>[4,-1,8,-6,7,-3,2,5]
[5,1,-3,-2,7,8,-4,6]=>[6,-4,8,7,-2,-3,1,5]
[3,5,1,2,7,8,-4,6]=>[6,-4,8,7,2,1,5,3]
[2,-1,5,-3,7,8,-4,6]=>[6,-4,8,7,-3,5,-1,2]
[2,-1,4,-3,8,5,-7,-6]=>[-6,-7,5,8,-3,4,-1,2]
[3,4,1,2,8,5,-7,-6]=>[-6,-7,5,8,2,1,4,3]
[4,1,-3,-2,8,5,-7,-6]=>[-6,-7,5,8,-2,-3,1,4]
[5,1,-4,8,-6,3,-7,-2]=>[-2,-7,3,-6,8,-4,1,5]
[6,2,-3,8,5,-7,-1,4]=>[4,-1,-7,5,8,-3,2,6]
[7,2,-3,8,6,-5,-1,4]=>[4,-1,-5,6,8,-3,2,7]
[8,1,-5,4,3,-7,-6,-2]=>[-2,-6,-7,3,4,-5,1,8]
[8,2,4,-6,1,-7,-5,-3]=>[-3,-5,-7,1,-6,4,2,8]
[7,1,8,-3,6,-5,-2,4]=>[4,-2,-5,6,-3,8,1,7]
[6,1,8,-7,5,-4,-2,3]=>[3,-2,-4,5,-7,8,1,6]
[5,2,8,-6,-4,1,-7,-3]=>[-3,-7,1,-4,-6,8,2,5]
[4,5,8,-6,1,3,-7,2]=>[2,-7,3,1,-6,8,5,4]
[3,5,-4,8,-6,1,-7,-2]=>[-2,-7,1,-6,8,-4,5,3]
[2,-1,5,8,-6,3,-7,-4]=>[-4,-7,3,-6,8,5,-1,2]
[3,-1,6,8,5,-7,-2,4]=>[4,-2,-7,5,8,6,-1,3]
[3,6,-4,8,5,-7,1,2]=>[2,1,-7,5,8,-4,6,3]
[4,6,8,-7,3,-5,1,2]=>[2,1,-5,3,-7,8,6,4]
[1,6,8,5,-7,2,3,4]=>[4,3,2,-7,5,8,6,1]
[6,1,8,5,-7,-4,-3,2]=>[2,-3,-4,-7,5,8,1,6]
[7,1,8,6,-4,2,3,5]=>[5,3,2,-4,6,8,1,7]
[8,4,5,3,-7,-6,1,2]=>[2,1,-6,-7,3,5,4,8]
[8,5,6,3,-7,-4,1,2]=>[2,1,-4,-7,3,6,5,8]
[7,1,8,6,-5,-4,-3,2]=>[2,-3,-4,-5,6,8,1,7]
[1,7,8,6,-5,2,3,4]=>[4,3,2,-5,6,8,7,1]
[6,7,8,-4,3,-5,1,2]=>[2,1,-5,3,-4,8,7,6]
[3,7,-4,8,6,-5,1,2]=>[2,1,-5,6,8,-4,7,3]
[3,-1,7,8,6,-5,-2,4]=>[4,-2,-5,6,8,7,-1,3]
[2,-1,8,4,3,-7,-6,-5]=>[-5,-6,-7,3,4,8,-1,2]
[3,8,-5,4,1,-7,-6,-2]=>[-2,-6,-7,1,4,-5,8,3]
[4,8,2,-6,1,-7,-5,-3]=>[-3,-5,-7,1,-6,2,8,4]
[5,8,4,3,-7,-6,1,2]=>[2,1,-6,-7,3,4,8,5]
[6,8,5,3,-7,-4,1,2]=>[2,1,-4,-7,3,5,8,6]
[7,8,6,3,-5,-4,1,2]=>[2,1,-4,-5,3,6,8,7]
[8,3,2,1,-7,-6,-5,-4]=>[-4,-5,-6,-7,1,2,3,8]
[5,8,7,3,4,1,2,-6]=>[-6,2,1,4,3,7,8,5]
[6,8,7,3,4,1,2,-5]=>[-5,2,1,4,3,7,8,6]
[6,8,3,7,5,1,2,-4]=>[-4,2,1,5,7,3,8,6]
[6,8,4,7,5,1,2,-3]=>[-3,2,1,5,7,4,8,6]
[6,8,4,7,1,5,3,-2]=>[-2,3,5,1,7,4,8,6]
[6,8,4,7,2,5,3,-1]=>[-1,3,5,2,7,4,8,6]
[5,4,8,7,2,6,3,-1]=>[-1,3,6,2,7,8,4,5]
[5,4,8,7,1,6,3,-2]=>[-2,3,6,1,7,8,4,5]
[5,4,8,7,6,1,2,-3]=>[-3,2,1,6,7,8,4,5]
[5,3,8,7,6,1,2,-4]=>[-4,2,1,6,7,8,3,5]
[4,3,8,7,6,1,2,-5]=>[-5,2,1,6,7,8,3,4]
[4,8,3,7,5,1,2,-6]=>[-6,2,1,5,7,3,8,4]
[8,3,4,6,5,1,2,-7]=>[-7,2,1,5,6,4,3,8]
[3,8,4,7,5,1,2,-6]=>[-6,2,1,5,7,4,8,3]
[3,4,8,7,6,1,2,-5]=>[-5,2,1,6,7,8,4,3]
[3,5,8,7,6,1,2,-4]=>[-4,2,1,6,7,8,5,3]
[4,5,8,7,6,1,2,-3]=>[-3,2,1,6,7,8,5,4]
[4,5,8,7,1,6,3,-2]=>[-2,3,6,1,7,8,5,4]
[4,5,8,7,2,6,3,-1]=>[-1,3,6,2,7,8,5,4]
[3,5,8,2,7,6,4,-1]=>[-1,4,6,7,2,8,5,3]
[3,5,8,1,7,6,4,-2]=>[-2,4,6,7,1,8,5,3]
[2,5,8,1,7,6,4,-3]=>[-3,4,6,7,1,8,5,2]
[2,5,8,7,1,6,3,-4]=>[-4,3,6,1,7,8,5,2]
[2,4,8,7,1,6,3,-5]=>[-5,3,6,1,7,8,4,2]
[2,8,4,7,1,5,3,-6]=>[-6,3,5,1,7,4,8,2]
[8,2,4,6,1,5,3,-7]=>[-7,3,5,1,6,4,2,8]
[8,1,4,6,2,5,3,-7]=>[-7,3,5,2,6,4,1,8]
[1,8,4,7,2,5,3,-6]=>[-6,3,5,2,7,4,8,1]
[1,4,8,7,2,6,3,-5]=>[-5,3,6,2,7,8,4,1]
[1,5,8,7,2,6,3,-4]=>[-4,3,6,2,7,8,5,1]
[1,5,8,2,7,6,4,-3]=>[-3,4,6,7,2,8,5,1]
[2,5,8,3,7,6,4,-1]=>[-1,4,6,7,3,8,5,2]
[2,4,3,8,7,6,5,-1]=>[-1,5,6,7,8,3,4,2]
[1,4,2,8,7,6,5,-3]=>[-3,5,6,7,8,2,4,1]
[1,3,2,8,7,6,5,-4]=>[-4,5,6,7,8,2,3,1]
[1,3,8,2,7,6,4,-5]=>[-5,4,6,7,2,8,3,1]
[1,8,3,2,7,5,4,-6]=>[-6,4,5,7,2,3,8,1]
[8,1,3,2,6,5,4,-7]=>[-7,4,5,6,2,3,1,8]
[8,2,3,1,6,5,4,-7]=>[-7,4,5,6,1,3,2,8]
[2,8,3,1,7,5,4,-6]=>[-6,4,5,7,1,3,8,2]
[2,3,8,1,7,6,4,-5]=>[-5,4,6,7,1,8,3,2]
[2,3,1,8,7,6,5,-4]=>[-4,5,6,7,8,1,3,2]
[2,4,1,8,7,6,5,-3]=>[-3,5,6,7,8,1,4,2]
[3,4,1,8,7,6,5,-2]=>[-2,5,6,7,8,1,4,3]
[3,4,2,8,7,6,5,-1]=>[-1,5,6,7,8,2,4,3]
[4,3,2,8,7,6,5,-1]=>[-1,5,6,7,8,2,3,4]
[4,3,1,8,7,6,5,-2]=>[-2,5,6,7,8,1,3,4]
[4,2,1,8,7,6,5,-3]=>[-3,5,6,7,8,1,2,4]
[3,8,2,1,7,5,4,-6]=>[-6,4,5,7,1,2,8,3]
[8,3,2,1,6,5,4,-7]=>[-7,4,5,6,1,2,3,8]
[8,4,2,6,1,5,3,-7]=>[-7,3,5,1,6,2,4,8]
[4,2,8,7,1,6,3,-5]=>[-5,3,6,1,7,8,2,4]
[5,2,8,7,1,6,3,-4]=>[-4,3,6,1,7,8,2,5]
[5,2,8,1,7,6,4,-3]=>[-3,4,6,7,1,8,2,5]
[5,3,8,1,7,6,4,-2]=>[-2,4,6,7,1,8,3,5]
[5,3,8,2,7,6,4,-1]=>[-1,4,6,7,2,8,3,5]
[6,8,3,2,7,5,4,-1]=>[-1,4,5,7,2,3,8,6]
[6,8,3,1,7,5,4,-2]=>[-2,4,5,7,1,3,8,6]
[6,8,2,1,7,5,4,-3]=>[-3,4,5,7,1,2,8,6]
[6,8,2,7,1,5,3,-4]=>[-4,3,5,1,7,2,8,6]
[6,8,7,2,1,4,3,-5]=>[-5,3,4,1,2,7,8,6]
[8,5,6,2,1,4,3,-7]=>[-7,3,4,1,2,6,5,8]
[8,5,6,1,2,4,3,-7]=>[-7,3,4,2,1,6,5,8]
[5,8,7,1,2,4,3,-6]=>[-6,3,4,2,1,7,8,5]
[6,8,1,2,7,5,4,-3]=>[-3,4,5,7,2,1,8,6]
[6,8,1,3,7,5,4,-2]=>[-2,4,5,7,3,1,8,6]
[6,8,2,3,7,5,4,-1]=>[-1,4,5,7,3,2,8,6]
[5,2,8,3,7,6,4,-1]=>[-1,4,6,7,3,8,2,5]
[5,1,8,3,7,6,4,-2]=>[-2,4,6,7,3,8,1,5]
[5,1,8,7,2,6,3,-4]=>[-4,3,6,2,7,8,1,5]
[4,1,8,7,2,6,3,-5]=>[-5,3,6,2,7,8,1,4]
[4,8,1,7,2,5,3,-6]=>[-6,3,5,2,7,1,8,4]
[8,4,1,6,2,5,3,-7]=>[-7,3,5,2,6,1,4,8]
[8,3,1,2,6,5,4,-7]=>[-7,4,5,6,2,1,3,8]
[3,8,1,2,7,5,4,-6]=>[-6,4,5,7,2,1,8,3]
[3,1,8,2,7,6,4,-5]=>[-5,4,6,7,2,8,1,3]
[3,1,2,8,7,6,5,-4]=>[-4,5,6,7,8,2,1,3]
[4,1,3,8,7,6,5,-2]=>[-2,5,6,7,8,3,1,4]
[4,2,3,8,7,6,5,-1]=>[-1,5,6,7,8,3,2,4]
[3,2,4,8,7,6,5,-1]=>[-1,5,6,7,8,4,2,3]
[3,1,4,8,7,6,5,-2]=>[-2,5,6,7,8,4,1,3]
[2,1,4,8,7,6,5,-3]=>[-3,5,6,7,8,4,1,2]
[2,1,3,8,7,6,5,-4]=>[-4,5,6,7,8,3,1,2]
[2,1,8,3,7,6,4,-5]=>[-5,4,6,7,3,8,1,2]
[2,8,1,3,7,5,4,-6]=>[-6,4,5,7,3,1,8,2]
[8,2,1,3,6,5,4,-7]=>[-7,4,5,6,3,1,2,8]
[8,1,2,3,6,5,4,-7]=>[-7,4,5,6,3,2,1,8]
[1,8,2,3,7,5,4,-6]=>[-6,4,5,7,3,2,8,1]
[1,2,8,3,7,6,4,-5]=>[-5,4,6,7,3,8,2,1]
[1,2,3,8,7,6,5,-4]=>[-4,5,6,7,8,3,2,1]
[1,2,4,8,7,6,5,-3]=>[-3,5,6,7,8,4,2,1]
[1,3,4,8,7,6,5,-2]=>[-2,5,6,7,8,4,3,1]
[2,3,4,8,7,6,5,-1]=>[-1,5,6,7,8,4,3,2]
[5,1,8,2,3,4,6,7]=>[7,6,4,3,2,8,1,5]
[-6,3,7,4,5,8,1,2]=>[2,1,8,5,4,7,3,-6]
[-2,4,5,8,-7,1,-6,3]=>[3,-6,1,-7,8,5,4,-2]
[7,-6,1,4,5,2,3,8]=>[8,3,2,5,4,1,-6,7]
[-4,-5,1,-7,6,2,3,8]=>[8,3,2,6,-7,1,-5,-4]
[6,-2,8,-4,-5,1,-7,3]=>[3,-7,1,-5,-4,8,-2,6]
[3,-5,4,-7,6,8,1,2]=>[2,1,8,6,-7,4,-5,3]
[5,-4,3,8,-7,6,1,2]=>[2,1,6,-7,8,3,-4,5]
[-6,8,3,4,5,7,1,2]=>[2,1,7,5,4,3,8,-6]
[5,3,-8,4,6,7,1,2]=>[2,1,7,6,4,-8,3,5]
[-4,3,5,6,-8,7,1,2]=>[2,1,7,-8,6,5,3,-4]
[5,6,7,8,-2,1,-4,3]=>[3,-4,1,-2,8,7,6,5]
[-4,1,5,6,7,2,3,8]=>[8,3,2,7,6,5,1,-4]
[1,6,7,-3,2,-5,4,8]=>[8,4,-5,2,-3,7,6,1]
[3,6,7,-2,1,8,-5,4]=>[4,-5,8,1,-2,7,6,3]
[-2,6,7,-3,1,-5,-8,4]=>[4,-8,-5,1,-3,7,6,-2]
[-2,6,8,-5,7,1,-4,3]=>[3,-4,1,7,-5,8,6,-2]
[2,6,7,-4,-8,1,-5,3]=>[3,-5,1,-8,-4,7,6,2]
[-4,2,5,7,-8,1,-6,3]=>[3,-6,1,-8,7,5,2,-4]
[7,8,5,6,-2,1,-4,3]=>[3,-4,1,-2,6,5,8,7]
[7,1,4,8,5,2,3,6]=>[6,3,2,5,8,4,1,7]
[4,8,-6,1,5,2,3,7]=>[7,3,2,5,1,-6,8,4]
[1,-5,-8,4,6,2,3,7]=>[7,3,2,6,4,-8,-5,1]
[5,-4,1,6,2,8,3,7]=>[7,3,8,2,6,1,-4,5]
[-6,1,-3,8,2,-5,4,7]=>[7,4,-5,2,8,-3,1,-6]
[1,-5,2,6,3,4,7,8]=>[8,7,4,3,6,2,-5,1]
[1,2,-4,3,-6,5,7,8]=>[8,7,5,-6,3,-4,2,1]
[-4,1,-3,2,-6,8,5,7]=>[7,5,8,-6,2,-3,1,-4]
[3,1,-4,2,-8,-6,5,7]=>[7,5,-6,-8,2,-4,1,3]
[3,-8,1,6,2,-5,4,7]=>[7,4,-5,2,6,1,-8,3]
[-3,-8,-5,1,2,-6,4,7]=>[7,4,-6,2,1,-5,-8,-3]
[3,-8,5,1,-7,2,4,6]=>[6,4,2,-7,1,5,-8,3]
[-8,2,5,3,1,6,-7,4]=>[4,-7,6,1,3,5,2,-8]
[-5,-2,-8,3,1,7,-6,4]=>[4,-6,7,1,3,-8,-2,-5]
[2,3,-8,1,6,7,-5,4]=>[4,-5,7,6,1,-8,3,2]
[2,3,-4,-6,1,7,-8,5]=>[5,-8,7,1,-6,-4,3,2]
[-2,4,-3,1,7,-6,-8,5]=>[5,-8,-6,7,1,-3,4,-2]
[3,4,-2,1,7,8,-6,5]=>[5,-6,8,7,1,-2,4,3]
[1,4,-3,2,7,-6,5,8]=>[8,5,-6,7,2,-3,4,1]
[1,-3,-4,2,-6,-7,5,8]=>[8,5,-7,-6,2,-4,-3,1]
[3,-2,-4,1,-6,8,-7,5]=>[5,-7,8,-6,1,-4,-2,3]
[2,-7,-5,8,6,1,-4,3]=>[3,-4,1,6,8,-5,-7,2]
[3,-2,-7,6,1,8,-5,4]=>[4,-5,8,1,6,-7,-2,3]
[1,-3,-7,6,2,-5,4,8]=>[8,4,-5,2,6,-7,-3,1]
[1,-5,-7,3,2,-6,4,8]=>[8,4,-6,2,3,-7,-5,1]
[3,5,-7,-2,1,8,-6,4]=>[4,-6,8,1,-2,-7,5,3]
[5,2,-8,-3,1,-7,-6,4]=>[4,-6,-7,1,-3,-8,2,5]
[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]
[3,1,7,8,-6,2,4,5]=>[5,4,2,-6,8,7,1,3]
[-2,1,7,8,3,4,-6,5]=>[5,-6,4,3,8,7,1,-2]
[1,6,2,3,7,4,5,8]=>[8,5,4,7,3,2,6,1]
[7,1,-5,2,3,4,6,8]=>[8,6,4,3,2,-5,1,7]
[-2,8,-5,1,3,4,-7,6]=>[6,-7,4,3,1,-5,8,-2]
[5,-4,7,1,2,8,3,6]=>[6,3,8,2,1,7,-4,5]
[-4,-5,-8,7,1,2,3,6]=>[6,3,2,1,7,-8,-5,-4]
[-4,1,-6,8,2,7,3,5]=>[5,3,7,2,8,-6,1,-4]
[8,4,-7,1,2,6,3,5]=>[5,3,6,2,1,-7,4,8]
[3,8,6,1,-7,2,4,5]=>[5,4,2,-7,1,6,8,3]
[8,3,1,2,-6,7,4,5]=>[5,4,7,-6,2,1,3,8]
[-3,7,-8,1,2,-5,4,6]=>[6,4,-5,2,1,-8,7,-3]
[-4,3,1,-7,-8,2,5,6]=>[6,5,2,-8,-7,1,3,-4]
[-2,4,1,3,-8,5,-7,6]=>[6,-7,5,-8,3,1,4,-2]
[-4,1,2,-7,3,5,6,8]=>[8,6,5,3,-7,2,1,-4]
[1,-3,2,4,5,-7,6,8]=>[8,6,-7,5,4,2,-3,1]
[3,-2,1,4,5,8,-7,6]=>[6,-7,8,5,4,1,-2,3]
[-2,-3,1,4,5,-7,-8,6]=>[6,-8,-7,5,4,1,-3,-2]
[-4,-2,1,-7,3,5,-8,6]=>[6,-8,5,3,-7,1,-2,-4]
[7,-2,-5,1,3,4,-8,6]=>[6,-8,4,3,1,-5,-2,7]
[8,-2,1,3,7,4,-6,5]=>[5,-6,4,7,3,1,-2,8]
[8,2,6,1,3,4,-7,5]=>[5,-7,4,3,1,6,2,8]
[1,-5,2,8,3,4,6,7]=>[7,6,4,3,8,2,-5,1]
[1,4,-8,2,3,5,6,7]=>[7,6,5,3,2,-8,4,1]
[3,1,2,4,-8,5,6,7]=>[7,6,5,-8,4,2,1,3]
[-2,1,3,4,5,6,-8,7]=>[7,-8,6,5,4,3,1,-2]
[2,3,4,5,6,7,8,-1]=>[-1,8,7,6,5,4,3,2]
[5,-4,6,-3,7,-2,8,-1]=>[-1,8,-2,7,-3,6,-4,5]
[5,6,-4,-3,7,1,8,2]=>[2,8,1,7,-3,-4,6,5]
[6,2,-1,-5,7,-4,8,-3]=>[-3,8,-4,7,-5,-1,2,6]
[6,2,1,7,-5,-4,8,3]=>[3,8,-4,-5,7,1,2,6]
[7,3,-2,4,-1,-6,8,-5]=>[-5,8,-6,-1,4,-2,3,7]
[7,3,-2,4,1,8,-6,5]=>[5,-6,8,1,4,-2,3,7]
[8,4,-3,5,-2,6,-1,-7]=>[-7,-1,6,-2,5,-3,4,8]
[8,4,5,-3,1,6,2,-7]=>[-7,2,6,1,-3,5,4,8]
[7,3,4,-1,2,8,-6,5]=>[5,-6,8,2,-1,4,3,7]
[7,3,4,1,2,-6,8,-5]=>[-5,8,-6,2,1,4,3,7]
[6,1,7,-3,-5,-4,8,-2]=>[-2,8,-4,-5,-3,7,1,6]
[3,6,7,-5,-4,-2,8,-1]=>[-1,8,-2,-4,-5,7,6,3]
[5,6,-1,7,-4,2,8,3]=>[3,8,2,-4,7,-1,6,5]
[5,1,6,7,-4,-3,8,2]=>[2,8,-3,-4,7,6,1,5]
[6,-5,7,2,-1,-4,8,-3]=>[-3,8,-4,-1,2,7,-5,6]
[6,7,-5,1,-2,-4,8,-3]=>[-3,8,-4,-2,1,-5,7,6]
[6,7,1,-5,-3,-4,8,-2]=>[-2,8,-4,-3,-5,1,7,6]
[6,7,3,2,-5,-1,8,4]=>[4,8,-1,-5,2,3,7,6]
[7,4,2,-1,-3,-6,8,-5]=>[-5,8,-6,-3,-1,2,4,7]
[7,4,2,1,-3,8,-6,5]=>[5,-6,8,-3,1,2,4,7]
[8,5,2,-1,-4,6,-3,-7]=>[-7,-3,6,-4,-1,2,5,8]
[8,5,2,1,6,-4,3,-7]=>[-7,3,-4,6,1,2,5,8]
[7,5,1,-2,8,-4,-6,-3]=>[-3,-6,-4,8,-2,1,5,7]
[6,7,5,2,8,-4,-3,1]=>[1,-3,-4,8,2,5,7,6]
[6,7,4,2,-1,8,-3,5]=>[5,-3,8,-1,2,4,7,6]
[6,7,4,-3,1,8,-5,2]=>[2,-5,8,1,-3,4,7,6]
[6,7,-2,3,1,8,-5,4]=>[4,-5,8,1,3,-2,7,6]
[6,2,7,3,-1,8,-5,4]=>[4,-5,8,-1,3,7,2,6]
[7,-6,8,3,-2,4,-1,-5]=>[-5,-1,4,-2,3,8,-6,7]
[7,8,-6,1,-3,4,-2,-5]=>[-5,-2,4,-3,1,-6,8,7]
[7,8,2,-6,-3,4,-1,-5]=>[-5,-1,4,-3,-6,2,8,7]
[7,8,2,-1,-6,3,-4,-5]=>[-5,-4,3,-6,-1,2,8,7]
[7,8,2,-1,3,-6,5,4]=>[4,5,-6,3,-1,2,8,7]
[7,8,5,1,6,3,-4,-2]=>[-2,-4,3,6,1,5,8,7]
[8,6,3,-2,4,-1,-5,-7]=>[-7,-5,-1,4,-2,3,6,8]
[8,6,3,4,1,2,-5,-7]=>[-7,-5,2,1,4,3,6,8]
[7,8,1,5,3,-6,4,-2]=>[-2,4,-6,3,5,1,8,7]
[7,8,3,5,-6,-2,-1,-4]=>[-4,-1,-2,-6,5,3,8,7]
[7,8,4,-6,3,-2,-1,-5]=>[-5,-1,-2,3,-6,4,8,7]
[7,8,-6,2,4,-3,-1,-5]=>[-5,-1,-3,4,2,-6,8,7]
[7,-6,8,3,4,1,2,-5]=>[-5,2,1,4,3,8,-6,7]
[6,3,7,4,8,-2,-5,1]=>[1,-5,-2,8,4,7,3,6]
[6,7,-4,1,8,-3,-5,-2]=>[-2,-5,-3,8,1,-4,7,6]
[6,7,2,-1,8,-4,-5,-3]=>[-3,-5,-4,8,-1,2,7,6]
[4,7,5,8,-6,2,-1,3]=>[3,-1,2,-6,8,5,7,4]
[6,7,5,8,3,-2,-1,4]=>[4,-1,-2,3,8,5,7,6]
[7,5,3,8,1,-2,-6,4]=>[4,-6,-2,1,8,3,5,7]
[8,5,1,6,-3,-4,-2,-7]=>[-7,-2,-4,-3,6,1,5,8]
[8,3,5,6,-4,-2,-1,-7]=>[-7,-1,-2,-4,6,5,3,8]
[7,2,5,8,-1,3,-6,4]=>[4,-6,3,-1,8,5,2,7]
[6,5,7,8,-1,-4,2,3]=>[3,2,-4,-1,8,7,5,6]
[4,6,7,-1,8,-5,-3,-2]=>[-2,-3,-5,8,-1,7,6,4]
[5,6,4,7,8,-3,-2,1]=>[1,-2,-3,8,7,4,6,5]
[5,1,6,7,8,-4,-2,3]=>[3,-2,-4,8,7,6,1,5]
[5,2,6,7,-1,8,-4,3]=>[3,-4,8,-1,7,6,2,5]
[5,6,3,7,-2,8,-1,4]=>[4,-1,8,-2,7,3,6,5]
[5,6,7,-3,1,8,-2,4]=>[4,-2,8,1,-3,7,6,5]
[6,4,7,-1,-5,8,-3,-2]=>[-2,-3,8,-5,-1,7,4,6]
[6,2,7,1,8,-5,-3,4]=>[4,-3,-5,8,1,7,2,6]
[7,4,5,-2,8,-3,-6,-1]=>[-1,-6,-3,8,-2,5,4,7]
[8,4,5,2,6,-1,3,-7]=>[-7,3,-1,6,2,5,4,8]
[8,4,1,5,6,-3,2,-7]=>[-7,2,-3,6,5,1,4,8]
[7,4,-3,5,8,1,-6,2]=>[2,-6,1,8,5,-3,4,7]
[6,1,-4,7,8,-5,-3,-2]=>[-2,-3,-5,8,7,-4,1,6]
[6,3,1,7,-5,8,-2,4]=>[4,-2,8,-5,7,1,3,6]
[6,2,-1,-5,7,8,3,4]=>[4,3,8,7,-5,-1,2,6]
[5,-4,6,1,7,8,-3,2]=>[2,-3,8,7,1,6,-4,5]
[6,-5,7,-4,8,2,-1,-3]=>[-3,-1,2,8,-4,7,-5,6]
[6,7,-5,-4,8,1,-2,-3]=>[-3,-2,1,8,-4,-5,7,6]
[7,3,-2,-6,8,4,-1,-5]=>[-5,-1,4,8,-6,-2,3,7]
[7,3,1,8,-6,4,2,-5]=>[-5,2,4,-6,8,1,3,7]
[7,4,-3,8,5,-6,-1,-2]=>[-2,-1,-6,5,8,-3,4,7]
[7,5,-4,8,2,-3,-6,-1]=>[-1,-6,-3,2,8,-4,5,7]
[8,5,-4,6,2,-1,-3,-7]=>[-7,-3,-1,2,6,-4,5,8]
[8,5,6,-4,1,-2,-3,-7]=>[-7,-3,-2,1,-4,6,5,8]
[7,5,8,-4,3,-2,-6,-1]=>[-1,-6,-2,3,-4,8,5,7]
[7,4,8,2,5,-6,3,-1]=>[-1,3,-6,5,2,8,4,7]
[7,2,8,-3,-6,4,-1,-5]=>[-5,-1,4,-6,-3,8,2,7]
[3,7,8,-6,-5,2,-1,-4]=>[-4,-1,2,-5,-6,8,7,3]
[6,7,-3,8,-5,1,-2,-4]=>[-4,-2,1,-5,8,-3,7,6]
[6,2,7,8,-5,3,1,-4]=>[-4,1,3,-5,8,7,2,6]
[6,3,7,8,4,-5,1,-2]=>[-2,1,-5,4,8,7,3,6]
[6,7,-4,8,-3,-5,1,-2]=>[-2,1,-5,-3,8,-4,7,6]
[6,7,8,-5,4,2,3,-1]=>[-1,3,2,4,-5,8,7,6]
[4,7,8,5,-6,2,3,-1]=>[-1,3,2,-6,5,8,7,4]
[7,2,8,5,3,-6,4,-1]=>[-1,4,-6,3,5,8,2,7]
[7,5,8,4,-3,-2,-6,-1]=>[-1,-6,-2,-3,4,8,5,7]
[8,5,6,1,-4,3,2,-7]=>[-7,2,3,-4,1,6,5,8]
[8,5,6,4,1,-3,2,-7]=>[-7,2,-3,1,4,6,5,8]
[7,4,8,1,-3,-5,-6,-2]=>[-2,-6,-5,-3,1,8,4,7]
[5,7,8,1,-3,-6,-4,-2]=>[-2,-4,-6,-3,1,8,7,5]
[6,7,8,5,3,4,-2,-1]=>[-1,-2,4,3,5,8,7,6]
[6,7,8,-4,5,2,-3,1]=>[1,-3,2,5,-4,8,7,6]
[6,7,4,8,5,2,-3,-1]=>[-1,-3,2,5,8,4,7,6]
[6,4,7,8,1,-3,-5,2]=>[2,-5,-3,1,8,7,4,6]
[7,-6,8,4,2,-1,-3,-5]=>[-5,-3,-1,2,4,8,-6,7]
[7,8,-6,4,1,-2,-3,-5]=>[-5,-3,-2,1,4,-6,8,7]
[7,8,4,-6,5,3,1,-2]=>[-2,1,3,5,-6,4,8,7]
[7,8,5,-3,-6,1,-2,-4]=>[-4,-2,1,-6,-3,5,8,7]
[7,8,5,4,1,-6,2,-3]=>[-3,2,-6,1,4,5,8,7]
[7,8,6,4,1,-3,-5,2]=>[2,-5,-3,1,4,6,8,7]
[8,6,4,2,-1,-3,-5,-7]=>[-7,-5,-3,-1,2,4,6,8]
[6,7,3,8,5,1,2,-4]=>[-4,2,1,5,8,3,7,6]
[6,7,8,3,4,1,2,-5]=>[-5,2,1,4,3,8,7,6]
[4,2,1,7,8,6,5,-3]=>[-3,5,6,8,7,1,2,4]
[5,2,7,1,8,6,4,-3]=>[-3,4,6,8,1,7,2,5]
[6,7,2,8,1,5,3,-4]=>[-4,3,5,1,8,2,7,6]
[6,7,8,2,1,4,3,-5]=>[-5,3,4,1,2,8,7,6]
[1,-8,3,2,5,4,7,6]=>[6,7,4,5,2,3,-8,1]
[3,2,-8,1,5,4,7,6]=>[6,7,4,5,1,-8,2,3]
[2,1,3,-8,5,4,7,6]=>[6,7,4,5,-8,3,1,2]
[2,1,5,4,-8,3,7,6]=>[6,7,3,-8,4,5,1,2]
[3,1,5,4,2,-8,7,6]=>[6,7,-8,2,4,5,1,3]
[3,1,7,4,2,6,-8,5]=>[5,-8,6,2,4,7,1,3]
[3,1,7,5,2,6,4,-8]=>[-8,4,6,2,5,7,1,3]
[5,2,3,7,1,6,4,-8]=>[-8,4,6,1,7,3,2,5]
[4,2,3,7,1,6,-8,5]=>[5,-8,6,1,7,3,2,4]
[4,2,3,5,1,-8,7,6]=>[6,7,-8,1,5,3,2,4]
[4,1,3,5,-8,2,7,6]=>[6,7,2,-8,5,3,1,4]
[5,3,4,-8,1,2,7,6]=>[6,7,2,1,-8,4,3,5]
[4,2,-8,5,1,3,7,6]=>[6,7,3,1,5,-8,2,4]
[1,-8,4,5,2,3,7,6]=>[6,7,3,2,5,4,-8,1]
[1,-8,4,5,3,2,7,6]=>[6,7,2,3,5,4,-8,1]
[4,2,-8,5,3,1,7,6]=>[6,7,1,3,5,-8,2,4]
[5,3,4,-8,2,1,7,6]=>[6,7,1,2,-8,4,3,5]
[4,2,3,5,-8,1,7,6]=>[6,7,1,-8,5,3,2,4]
[3,1,2,4,5,-8,7,6]=>[6,7,-8,5,4,2,1,3]
[3,1,2,4,7,6,-8,5]=>[5,-8,6,7,4,2,1,3]
[3,1,2,5,7,6,4,-8]=>[-8,4,6,7,5,2,1,3]
[4,1,2,6,5,7,3,-8]=>[-8,3,7,5,6,2,1,4]
[3,1,2,6,5,7,-8,4]=>[4,-8,7,5,6,2,1,3]
[5,2,3,7,6,-8,1,4]=>[4,1,-8,6,7,3,2,5]
[4,2,3,6,-8,7,1,5]=>[5,1,7,-8,6,3,2,4]
[6,3,4,-8,2,7,1,5]=>[5,1,7,2,-8,4,3,6]
[4,2,-8,6,3,7,1,5]=>[5,1,7,3,6,-8,2,4]
[1,-8,4,6,3,7,2,5]=>[5,2,7,3,6,4,-8,1]
[1,-8,4,6,3,7,5,2]=>[2,5,7,3,6,4,-8,1]
[4,2,-8,6,3,7,5,1]=>[1,5,7,3,6,-8,2,4]
[6,3,4,-8,2,7,5,1]=>[1,5,7,2,-8,4,3,6]
[4,2,3,6,-8,7,5,1]=>[1,5,7,-8,6,3,2,4]
[5,2,3,7,6,-8,4,1]=>[1,4,-8,6,7,3,2,5]
[5,2,4,7,6,3,-8,1]=>[1,-8,3,6,7,4,2,5]
[4,1,3,6,5,2,7,-8]=>[-8,7,2,5,6,3,1,4]
[5,2,3,4,6,1,7,-8]=>[-8,7,1,6,4,3,2,5]
[6,3,4,5,7,2,-8,1]=>[1,-8,2,7,5,4,3,6]
[6,2,4,5,7,-8,3,1]=>[1,3,-8,7,5,4,2,6]
[7,4,5,6,-8,2,3,1]=>[1,3,2,-8,6,5,4,7]
[6,3,5,-8,7,2,4,1]=>[1,4,2,7,-8,5,3,6]
[5,2,-8,6,7,3,4,1]=>[1,4,3,7,6,-8,2,5]
[1,-8,5,6,7,3,4,2]=>[2,4,3,7,6,5,-8,1]
[1,-8,5,6,7,3,2,4]=>[4,2,3,7,6,5,-8,1]
[5,2,-8,6,7,3,1,4]=>[4,1,3,7,6,-8,2,5]
[6,3,5,-8,7,2,1,4]=>[4,1,2,7,-8,5,3,6]
[7,4,5,6,-8,2,1,3]=>[3,1,2,-8,6,5,4,7]
[6,2,4,5,7,-8,1,3]=>[3,1,-8,7,5,4,2,6]
[5,1,2,4,6,7,-8,3]=>[3,-8,7,6,4,2,1,5]
[5,1,3,4,6,7,2,-8]=>[-8,2,7,6,4,3,1,5]
[6,3,4,5,7,1,2,-8]=>[-8,2,1,7,5,4,3,6]
[6,2,4,5,7,1,-8,3]=>[3,-8,1,7,5,4,2,6]
[6,1,4,5,7,-8,2,3]=>[3,2,-8,7,5,4,1,6]
[7,4,5,6,-8,1,2,3]=>[3,2,1,-8,6,5,4,7]
[6,3,5,-8,7,1,2,4]=>[4,2,1,7,-8,5,3,6]
[5,2,-8,6,7,1,3,4]=>[4,3,1,7,6,-8,2,5]
[1,-8,5,6,7,2,3,4]=>[4,3,2,7,6,5,-8,1]
[1,-8,4,6,2,7,3,5]=>[5,3,7,2,6,4,-8,1]
[4,2,-8,6,1,7,3,5]=>[5,3,7,1,6,-8,2,4]
[6,3,4,-8,1,7,2,5]=>[5,2,7,1,-8,4,3,6]
[4,1,3,6,-8,7,2,5]=>[5,2,7,-8,6,3,1,4]
[5,1,3,7,6,-8,2,4]=>[4,2,-8,6,7,3,1,5]
[5,2,3,7,6,1,-8,4]=>[4,-8,1,6,7,3,2,5]
[5,2,4,7,6,1,3,-8]=>[-8,3,1,6,7,4,2,5]
[4,1,7,5,6,2,3,-8]=>[-8,3,2,6,5,7,1,4]
[3,1,7,5,6,2,-8,4]=>[4,-8,2,6,5,7,1,3]
[2,1,7,5,6,-8,3,4]=>[4,3,-8,6,5,7,1,2]
[2,1,6,4,-8,7,3,5]=>[5,3,7,-8,4,6,1,2]
[2,1,3,-8,6,7,4,5]=>[5,4,7,6,-8,3,1,2]
[3,2,-8,1,6,7,4,5]=>[5,4,7,6,1,-8,2,3]
[1,-8,3,2,6,7,4,5]=>[5,4,7,6,2,3,-8,1]
[1,-8,3,2,6,7,5,4]=>[4,5,7,6,2,3,-8,1]
[3,2,-8,1,6,7,5,4]=>[4,5,7,6,1,-8,2,3]
[2,1,3,-8,6,7,5,4]=>[4,5,7,6,-8,3,1,2]
[2,1,6,4,-8,7,5,3]=>[3,5,7,-8,4,6,1,2]
[2,1,7,5,6,-8,4,3]=>[3,4,-8,6,5,7,1,2]
[4,1,7,5,6,2,-8,3]=>[3,-8,2,6,5,7,1,4]
[4,1,7,5,6,3,2,-8]=>[-8,2,3,6,5,7,1,4]
[5,2,4,7,6,3,1,-8]=>[-8,1,3,6,7,4,2,5]
[5,1,4,7,6,3,-8,2]=>[2,-8,3,6,7,4,1,5]
[5,1,3,7,6,-8,4,2]=>[2,4,-8,6,7,3,1,5]
[4,1,3,6,-8,7,5,2]=>[2,5,7,-8,6,3,1,4]
[6,3,4,-8,1,7,5,2]=>[2,5,7,1,-8,4,3,6]
[4,2,-8,6,1,7,5,3]=>[3,5,7,1,6,-8,2,4]
[1,-8,4,6,2,7,5,3]=>[3,5,7,2,6,4,-8,1]
[1,-8,5,6,7,2,4,3]=>[3,4,2,7,6,5,-8,1]
[5,2,-8,6,7,1,4,3]=>[3,4,1,7,6,-8,2,5]
[6,3,5,-8,7,1,4,2]=>[2,4,1,7,-8,5,3,6]
[7,4,5,6,-8,1,3,2]=>[2,3,1,-8,6,5,4,7]
[6,1,4,5,7,-8,3,2]=>[2,3,-8,7,5,4,1,6]
[6,3,4,5,7,1,-8,2]=>[2,-8,1,7,5,4,3,6]
[6,3,4,5,7,2,1,-8]=>[-8,1,2,7,5,4,3,6]
[5,2,3,4,6,7,1,-8]=>[-8,1,7,6,4,3,2,5]
[5,1,3,4,6,7,-8,2]=>[2,-8,7,6,4,3,1,5]
[6,3,4,5,7,-8,1,2]=>[2,1,-8,7,5,4,3,6]
[7,4,5,6,-8,3,1,2]=>[2,1,3,-8,6,5,4,7]
[6,3,5,-8,7,4,1,2]=>[2,1,4,7,-8,5,3,6]
[5,2,-8,6,7,4,1,3]=>[3,1,4,7,6,-8,2,5]
[1,-8,5,6,7,4,2,3]=>[3,2,4,7,6,5,-8,1]
[1,-8,5,6,7,4,3,2]=>[2,3,4,7,6,5,-8,1]
[5,2,-8,6,7,4,3,1]=>[1,3,4,7,6,-8,2,5]
[6,3,5,-8,7,4,2,1]=>[1,2,4,7,-8,5,3,6]
[7,4,5,6,-8,3,2,1]=>[1,2,3,-8,6,5,4,7]
[6,3,4,5,7,-8,2,1]=>[1,2,-8,7,5,4,3,6]
[5,2,3,4,6,7,-8,1]=>[1,-8,7,6,4,3,2,5]
[4,1,2,3,5,6,7,-8]=>[-8,7,6,5,3,2,1,4]
[-8,-6,5,7,3,4,1,2]=>[2,1,4,3,7,5,-6,-8]
[-8,4,-7,-6,3,5,1,2]=>[2,1,5,3,-6,-7,4,-8]
[-7,4,-6,3,5,8,1,2]=>[2,1,8,5,3,-6,4,-7]
[4,5,8,2,-7,-6,1,3]=>[3,1,-6,-7,2,8,5,4]
[4,5,7,2,-6,1,3,8]=>[8,3,1,-6,2,7,5,4]
[4,7,2,6,-5,1,3,8]=>[8,3,1,-5,6,2,7,4]
[4,6,2,8,-7,-5,1,3]=>[3,1,-5,-7,8,2,6,4]
[4,-7,-5,3,6,8,1,2]=>[2,1,8,6,3,-5,-7,4]
[4,-8,-7,-5,3,6,1,2]=>[2,1,6,3,-5,-7,-8,4]
[4,7,-8,-5,3,6,1,2]=>[2,1,6,3,-5,-8,7,4]
[7,4,-8,-6,3,5,1,2]=>[2,1,5,3,-6,-8,4,7]
[8,-7,4,3,5,6,1,2]=>[2,1,6,5,3,4,-7,8]
[8,4,-6,3,5,7,1,2]=>[2,1,7,5,3,-6,4,8]
[4,8,-5,3,6,7,1,2]=>[2,1,7,6,3,-5,8,4]
[4,-8,-5,3,6,7,1,2]=>[2,1,7,6,3,-5,-8,4]
[4,-5,3,6,7,8,1,2]=>[2,1,8,7,6,3,-5,4]
[7,-4,2,8,-6,-5,1,3]=>[3,1,-5,-6,8,2,-4,7]
[6,-4,2,7,-5,1,3,8]=>[8,3,1,-5,7,2,-4,6]
[3,2,7,-6,-5,1,4,8]=>[8,4,1,-5,-6,7,2,3]
[3,2,8,-7,-6,-5,1,4]=>[4,1,-5,-6,-7,8,2,3]
[7,-3,2,-8,-6,-5,1,4]=>[4,1,-5,-6,-8,2,-3,7]
[4,8,2,7,-6,-5,1,3]=>[3,1,-5,-6,7,2,8,4]
[6,7,-4,2,-8,-5,1,3]=>[3,1,-5,-8,2,-4,7,6]
[-7,4,5,2,-8,-6,1,3]=>[3,1,-6,-8,2,5,4,-7]
[8,4,5,2,6,-7,1,3]=>[3,1,-7,6,2,5,4,8]
[8,-4,5,2,-7,1,3,6]=>[6,3,1,-7,2,5,-4,8]
[-5,-4,-8,2,-6,1,3,7]=>[7,3,1,-6,2,-8,-4,-5]
[-6,-8,-4,2,-5,1,3,7]=>[7,3,1,-5,2,-4,-8,-6]
[4,8,2,6,-5,1,3,7]=>[7,3,1,-5,6,2,8,4]
[3,2,6,8,-5,1,4,7]=>[7,4,1,-5,8,6,2,3]
[3,2,6,-5,1,4,7,8]=>[8,7,4,1,-5,6,2,3]
[-3,2,-6,-4,1,5,7,8]=>[8,7,5,1,-4,-6,2,-3]
[-3,2,6,-8,-4,1,5,7]=>[7,5,1,-4,-8,6,2,-3]
[-6,-3,2,-8,-4,1,5,7]=>[7,5,1,-4,-8,2,-3,-6]
[-3,-6,2,-8,-5,1,4,7]=>[7,4,1,-5,-8,2,-6,-3]
[-8,3,2,5,-6,1,4,7]=>[7,4,1,-6,5,2,3,-8]
[3,2,-8,5,-7,1,4,6]=>[6,4,1,-7,5,-8,2,3]
[-3,2,-8,5,6,-7,1,4]=>[4,1,-7,6,5,-8,2,-3]
[-7,3,2,5,-8,-6,1,4]=>[4,1,-6,-8,5,2,3,-7]
[6,-3,2,7,-8,-5,1,4]=>[4,1,-5,-8,7,2,-3,6]
[-3,2,6,7,-8,-4,1,5]=>[5,1,-4,-8,7,6,2,-3]
[-3,2,7,-8,-6,-4,1,5]=>[5,1,-4,-6,-8,7,2,-3]
[-3,2,-8,-7,-6,-4,1,5]=>[5,1,-4,-6,-7,-8,2,-3]
[-3,2,-7,-6,-4,1,5,8]=>[8,5,1,-4,-6,-7,2,-3]
[-3,2,6,-7,-4,1,5,8]=>[8,5,1,-4,-7,6,2,-3]
[-3,2,6,-8,-7,-4,1,5]=>[5,1,-4,-7,-8,6,2,-3]
[-3,2,6,8,-7,-4,1,5]=>[5,1,-4,-7,8,6,2,-3]
[-8,3,2,5,7,-6,1,4]=>[4,1,-6,7,5,2,3,-8]
[-6,-3,-8,2,5,-7,1,4]=>[4,1,-7,5,2,-8,-3,-6]
[6,-8,4,2,5,-7,1,3]=>[3,1,-7,5,2,4,-8,6]
[-7,6,-4,2,-8,-5,1,3]=>[3,1,-5,-8,2,-4,6,-7]
[-6,-8,-4,2,-7,-5,1,3]=>[3,1,-5,-7,2,-4,-8,-6]
[8,-3,2,6,-7,-5,1,4]=>[4,1,-5,-7,6,2,-3,8]
[6,-3,2,-8,-7,-5,1,4]=>[4,1,-5,-7,-8,2,-3,6]
[6,-3,2,-7,-5,1,4,8]=>[8,4,1,-5,-7,2,-3,6]
[-3,-7,2,5,-6,1,4,8]=>[8,4,1,-6,5,2,-7,-3]
[-3,-8,2,5,-7,-6,1,4]=>[4,1,-6,-7,5,2,-8,-3]
[-3,-7,2,5,8,-6,1,4]=>[4,1,-6,8,5,2,-7,-3]
[4,7,8,2,5,-6,1,3]=>[3,1,-6,5,2,8,7,4]
[2,5,7,8,4,-6,1,3]=>[3,1,-6,4,8,7,5,2]
[5,6,2,-8,4,-7,1,3]=>[3,1,-7,4,-8,2,6,5]
[5,8,6,-7,2,1,3,4]=>[4,3,1,2,-7,6,8,5]
[-8,-5,7,-6,2,1,3,4]=>[4,3,1,2,-6,7,-5,-8]
[-3,7,2,8,-6,1,4,5]=>[5,4,1,-6,8,2,7,-3]
[-3,8,2,-7,-6,1,4,5]=>[5,4,1,-6,-7,2,8,-3]
[-3,7,2,-6,1,4,5,8]=>[8,5,4,1,-6,2,7,-3]
[3,-7,2,-5,1,4,6,8]=>[8,6,4,1,-5,2,-7,3]
[3,-8,2,-7,-5,1,4,6]=>[6,4,1,-5,-7,2,-8,3]
[2,-8,-7,-4,-5,1,3,6]=>[6,3,1,-5,-4,-7,-8,2]
[2,7,-8,-4,-5,1,3,6]=>[6,3,1,-5,-4,-8,7,2]
[4,2,8,7,-6,1,3,5]=>[5,3,1,-6,7,8,2,4]
[4,8,6,2,-7,1,3,5]=>[5,3,1,-7,2,6,8,4]
[6,-3,-8,2,-7,1,4,5]=>[5,4,1,-7,2,-8,-3,6]
[8,3,2,7,-6,1,4,5]=>[5,4,1,-6,7,2,3,8]
[-3,-8,2,7,-5,1,4,6]=>[6,4,1,-5,7,2,-8,-3]
[-8,-3,2,7,-4,1,5,6]=>[6,5,1,-4,7,2,-3,-8]
[-3,2,8,-7,-4,1,5,6]=>[6,5,1,-4,-7,8,2,-3]
[-3,2,7,-4,1,5,6,8]=>[8,6,5,1,-4,7,2,-3]
[-3,2,-7,-4,1,5,6,8]=>[8,6,5,1,-4,-7,2,-3]
[-3,2,-8,-7,-4,1,5,6]=>[6,5,1,-4,-7,-8,2,-3]
[-3,2,7,-8,-4,1,5,6]=>[6,5,1,-4,-8,7,2,-3]
[-7,-3,2,-8,-4,1,5,6]=>[6,5,1,-4,-8,2,-3,-7]
[-3,-7,2,-8,-5,1,4,6]=>[6,4,1,-5,-8,2,-7,-3]
[7,3,2,-8,-6,1,4,5]=>[5,4,1,-6,-8,2,3,7]
[3,2,-8,6,-7,1,4,5]=>[5,4,1,-7,6,-8,2,3]
[8,3,-7,2,1,4,5,6]=>[6,5,4,1,2,-7,3,8]
[8,3,2,-6,1,4,5,7]=>[7,5,4,1,-6,2,3,8]
[-3,-8,2,-5,1,4,6,7]=>[7,6,4,1,-5,2,-8,-3]
[-8,-3,2,-4,1,5,6,7]=>[7,6,5,1,-4,2,-3,-8]
[-3,2,8,-4,1,5,6,7]=>[7,6,5,1,-4,8,2,-3]
[-3,2,-8,-4,1,5,6,7]=>[7,6,5,1,-4,-8,2,-3]
[-3,2,-4,1,5,6,7,8]=>[8,7,6,5,1,-4,2,-3]
[6,7,3,8,1,2,4,5]=>[5,4,2,1,8,3,7,6]
[-4,3,1,2,-6,5,-8,7]=>[7,-8,5,-6,2,1,3,-4]
[6,-3,-5,1,2,4,-8,7]=>[7,-8,4,2,1,-5,-3,6]
[-6,5,1,-3,2,4,-8,7]=>[7,-8,4,2,-3,1,5,-6]
[8,-5,1,-3,-7,2,4,6]=>[6,4,2,-7,-3,1,-5,8]
[-8,7,1,-3,2,-5,4,6]=>[6,4,-5,2,-3,1,7,-8]
[5,8,1,7,2,-4,3,6]=>[6,3,-4,2,7,1,8,5]
[4,5,1,8,-7,2,3,6]=>[6,3,2,-7,8,1,5,4]
[1,6,4,5,2,3,-8,7]=>[7,-8,3,2,5,4,6,1]
[5,1,4,6,2,3,-8,7]=>[7,-8,3,2,6,4,1,5]
[-2,-5,-6,1,3,4,-8,7]=>[7,-8,4,3,1,-6,-5,-2]
[6,1,5,-3,2,4,-8,7]=>[7,-8,4,2,-3,5,1,6]
[6,4,1,5,2,3,-8,7]=>[7,-8,3,2,5,1,4,6]
[5,6,1,4,2,3,-8,7]=>[7,-8,3,2,4,1,6,5]
[-6,5,1,4,2,3,-8,7]=>[7,-8,3,2,4,1,5,-6]
[-4,-5,1,8,-7,2,3,6]=>[6,3,2,-7,8,1,-5,-4]
[-8,-4,1,7,2,-5,3,6]=>[6,3,-5,2,7,1,-4,-8]
[-8,-6,-4,7,1,2,3,5]=>[5,3,2,1,7,-4,-6,-8]
[-6,-7,-4,8,1,2,3,5]=>[5,3,2,1,8,-4,-7,-6]
[-7,-6,4,8,1,2,3,5]=>[5,3,2,1,8,4,-6,-7]
[-7,4,1,8,2,-5,3,6]=>[6,3,-5,2,8,1,4,-7]
[5,-4,1,8,-7,2,3,6]=>[6,3,2,-7,8,1,-4,5]
[-5,1,8,-3,-7,2,4,6]=>[6,4,2,-7,-3,8,1,-5]
[-2,-8,1,-5,-7,3,4,6]=>[6,4,3,-7,-5,1,-8,-2]
[-2,-7,-8,1,3,-5,4,6]=>[6,4,-5,3,1,-8,-7,-2]
[5,1,7,-3,-8,2,4,6]=>[6,4,2,-8,-3,7,1,5]
[-4,5,1,7,-8,2,3,6]=>[6,3,2,-8,7,1,5,-4]
[8,4,1,7,2,-5,3,6]=>[6,3,-5,2,7,1,4,8]
[8,-6,4,7,1,2,3,5]=>[5,3,2,1,7,4,-6,8]
[-8,7,-4,6,1,2,3,5]=>[5,3,2,1,6,-4,7,-8]
[1,8,2,5,6,7,3,4]=>[4,3,7,6,5,2,8,1]
[8,6,-4,7,1,2,3,5]=>[5,3,2,1,7,-4,6,8]
[1,8,-3,2,6,7,4,5]=>[5,4,7,6,2,-3,8,1]
[6,-8,-2,1,3,7,4,5]=>[5,4,7,3,1,-2,-8,6]
[-6,-7,-2,1,3,8,4,5]=>[5,4,8,3,1,-2,-7,-6]
[1,7,-3,6,2,8,4,5]=>[5,4,8,2,6,-3,7,1]
[-4,-7,6,8,1,2,3,5]=>[5,3,2,1,8,6,-7,-4]
[1,7,5,2,6,8,3,4]=>[4,3,8,6,2,5,7,1]
[1,6,7,2,5,8,3,4]=>[4,3,8,5,2,7,6,1]
[7,1,6,2,5,8,3,4]=>[4,3,8,5,2,6,1,7]
[6,1,8,2,5,7,3,4]=>[4,3,7,5,2,8,1,6]
[1,2,5,8,6,7,3,4]=>[4,3,7,6,8,5,2,1]
[1,6,2,5,7,8,3,4]=>[4,3,8,7,5,2,6,1]
[-4,1,7,8,2,-5,3,6]=>[6,3,-5,2,8,7,1,-4]
[-6,-4,7,8,1,2,3,5]=>[5,3,2,1,8,7,-4,-6]
[-7,4,6,8,1,2,3,5]=>[5,3,2,1,8,6,4,-7]
[4,1,-8,6,2,7,3,5]=>[5,3,7,2,6,-8,1,4]
[1,8,6,-3,2,7,4,5]=>[5,4,7,2,-3,6,8,1]
[7,1,6,-3,2,8,4,5]=>[5,4,8,2,-3,6,1,7]
[-3,-6,7,1,2,8,4,5]=>[5,4,8,2,1,7,-6,-3]
[8,-3,-7,1,2,-5,4,6]=>[6,4,-5,2,1,-7,-3,8]
[-4,3,1,-7,2,8,5,6]=>[6,5,8,2,-7,1,3,-4]
[-2,1,-4,-7,-8,3,5,6]=>[6,5,3,-8,-7,-4,1,-2]
[3,4,1,-7,-8,2,5,6]=>[6,5,2,-8,-7,1,4,3]
[-3,-6,-8,7,1,2,4,5]=>[5,4,2,1,7,-8,-6,-3]
[-3,-8,-7,6,1,2,4,5]=>[5,4,2,1,6,-7,-8,-3]
[7,1,-8,6,-3,2,4,5]=>[5,4,2,-3,6,-8,1,7]
[4,-8,1,7,2,6,3,5]=>[5,3,6,2,7,1,-8,4]
[7,1,8,-4,2,6,3,5]=>[5,3,6,2,-4,8,1,7]
[-4,1,8,2,7,-5,3,6]=>[6,3,-5,7,2,8,1,-4]
[5,1,8,2,7,-4,3,6]=>[6,3,-4,7,2,8,1,5]
[8,1,7,-3,2,-5,4,6]=>[6,4,-5,2,-3,7,1,8]
[-2,-8,1,3,7,-5,4,6]=>[6,4,-5,7,3,1,-8,-2]
[-6,-2,-8,1,3,7,4,5]=>[5,4,7,3,1,-8,-2,-6]
[1,6,-8,7,-3,2,4,5]=>[5,4,2,-3,7,-8,6,1]
[1,6,8,-4,2,7,3,5]=>[5,3,7,2,-4,8,6,1]
[7,1,8,5,2,6,3,4]=>[4,3,6,2,5,8,1,7]
[1,8,7,5,2,6,3,4]=>[4,3,6,2,5,7,8,1]
[7,1,6,8,2,5,3,4]=>[4,3,5,2,8,6,1,7]
[1,6,7,8,2,5,3,4]=>[4,3,5,2,8,7,6,1]
[1,7,5,8,2,6,3,4]=>[4,3,6,2,8,5,7,1]
[1,7,-4,8,2,6,3,5]=>[5,3,6,2,8,-4,7,1]
[1,8,-7,6,-3,2,4,5]=>[5,4,2,-3,6,-7,8,1]
[-8,-2,-7,1,3,6,4,5]=>[5,4,6,3,1,-7,-2,-8]
[-6,-7,-8,-2,1,3,4,5]=>[5,4,3,1,-2,-8,-7,-6]
[1,-8,7,6,-3,2,4,5]=>[5,4,2,-3,6,7,-8,1]
[-4,1,-8,7,2,6,3,5]=>[5,3,6,2,7,-8,1,-4]
[8,7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7,8]
[8,6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6,8]
[-8,7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7,-8]
[6,1,-5,-4,7,-3,8,2]=>[2,8,-3,7,-4,-5,1,6]
[6,2,-1,7,-5,-4,8,3]=>[3,8,-4,-5,7,-1,2,6]
[7,2,-6,3,-5,-4,8,-1]=>[-1,8,-4,-5,3,-6,2,7]
[7,3,-6,4,-5,8,-2,-1]=>[-1,-2,8,-5,4,-6,3,7]
[8,2,-7,3,-6,4,-5,1]=>[1,-5,4,-6,3,-7,2,8]
[8,3,4,-7,-6,1,-5,2]=>[2,-5,1,-6,-7,4,3,8]
[7,3,4,-6,1,8,-2,5]=>[5,-2,8,1,-6,4,3,7]
[7,3,4,-6,-5,-2,8,-1]=>[-1,8,-2,-5,-6,4,3,7]
[6,1,7,-5,-4,-2,8,3]=>[3,8,-2,-4,-5,7,1,6]
[6,-5,7,1,-4,-3,8,2]=>[2,8,-3,-4,1,7,-5,6]
[6,7,-5,2,-4,-3,8,1]=>[1,8,-3,-4,2,-5,7,6]
[6,7,1,-5,-4,-2,8,3]=>[3,8,-2,-4,-5,1,7,6]
[6,7,1,-5,-2,3,8,4]=>[4,8,3,-2,-5,1,7,6]
[7,4,-3,-6,-5,-2,8,-1]=>[-1,8,-2,-5,-6,-3,4,7]
[7,4,-3,-6,1,8,-2,5]=>[5,-2,8,1,-6,-3,4,7]
[8,4,1,-7,-6,-3,-5,2]=>[2,-5,-3,-6,-7,1,4,8]
[8,5,-4,-7,1,-6,-3,2]=>[2,-3,-6,1,-7,-4,5,8]
[7,5,1,-4,8,-6,-3,2]=>[2,-3,-6,8,-4,1,5,7]
[6,7,5,1,8,-4,-3,2]=>[2,-3,-4,8,1,5,7,6]
[6,7,4,-3,1,8,-2,5]=>[5,-2,8,1,-3,4,7,6]
[6,7,4,-5,1,8,-3,-2]=>[-2,-3,8,1,-5,4,7,6]
[6,7,-5,1,-4,8,-2,3]=>[3,-2,8,-4,1,-5,7,6]
[6,-5,7,2,-1,8,-4,3]=>[3,-4,8,-1,2,7,-5,6]
[7,-6,8,2,-5,3,-4,-1]=>[-1,-4,3,-5,2,8,-6,7]
[7,8,-6,1,-5,3,-4,-2]=>[-2,-4,3,-5,1,-6,8,7]
[7,8,3,-6,-5,2,-4,-1]=>[-1,-4,2,-5,-6,3,8,7]
[7,8,1,-6,-5,4,-3,2]=>[2,-3,4,-5,-6,1,8,7]
[7,8,1,-6,5,-4,-3,2]=>[2,-3,-4,5,-6,1,8,7]
[7,8,5,1,6,-4,-3,2]=>[2,-3,-4,6,1,5,8,7]
[8,5,1,-7,6,-4,-3,2]=>[2,-3,-4,6,-7,1,5,8]
[8,6,-5,1,-7,-4,2,3]=>[3,2,-4,-7,1,-5,6,8]
[7,8,1,5,-6,2,3,4]=>[4,3,2,-6,5,1,8,7]
[7,8,1,5,-6,-4,2,3]=>[3,2,-4,-6,5,1,8,7]
[7,8,4,-6,-1,-5,-3,2]=>[2,-3,-5,-1,-6,4,8,7]
[7,8,-6,3,4,-5,1,2]=>[2,1,-5,4,3,-6,8,7]
[7,-6,8,3,4,-5,-2,-1]=>[-1,-2,-5,4,3,8,-6,7]
[6,3,7,4,8,-5,-2,-1]=>[-1,-2,-5,8,4,7,3,6]
[6,7,-4,-3,8,-5,-2,-1]=>[-1,-2,-5,8,-3,-4,7,6]
[6,7,2,-1,8,-5,-3,4]=>[4,-3,-5,8,-1,2,7,6]
[4,7,5,8,-6,1,2,3]=>[3,2,1,-6,8,5,7,4]
[7,5,-1,8,-6,-4,2,3]=>[3,2,-4,-6,8,-1,5,7]
[8,5,1,6,-7,-4,2,3]=>[3,2,-4,-7,6,1,5,8]
[8,4,5,6,-7,1,2,3]=>[3,2,1,-7,6,5,4,8]
[7,1,5,8,-6,-4,2,3]=>[3,2,-4,-6,8,5,1,7]
[6,5,7,8,-4,1,2,3]=>[3,2,1,-4,8,7,5,6]
[6,4,7,-5,1,8,-3,-2]=>[-2,-3,8,1,-5,7,4,6]
[6,2,7,-1,8,-5,-3,4]=>[4,-3,-5,8,-1,7,2,6]
[7,4,5,-3,8,-6,1,2]=>[2,1,-6,8,-3,5,4,7]
[8,4,5,-7,1,-6,-3,2]=>[2,-3,-6,1,-7,5,4,8]
[8,3,-7,4,5,-6,-2,1]=>[1,-2,-6,5,4,-7,3,8]
[7,4,-3,5,8,-6,-2,-1]=>[-1,-2,-6,8,5,-3,4,7]
[6,4,1,7,8,-5,-3,-2]=>[-2,-3,-5,8,7,1,4,6]
[6,3,-2,7,-5,8,-1,4]=>[4,-1,8,-5,7,-2,3,6]
[6,1,-5,2,7,8,3,4]=>[4,3,8,7,2,-5,1,6]
[6,-5,7,-4,8,1,-3,2]=>[2,-3,1,8,-4,7,-5,6]
[6,7,-5,-4,8,2,-3,1]=>[1,-3,2,8,-4,-5,7,6]
[7,2,-6,-5,8,3,-4,-1]=>[-1,-4,3,8,-5,-6,2,7]
[7,3,-2,8,-6,4,-5,-1]=>[-1,-5,4,-6,8,-2,3,7]
[7,4,-3,8,5,-6,-2,-1]=>[-1,-2,-6,5,8,-3,4,7]
[7,5,-4,8,-3,-6,-2,-1]=>[-1,-2,-6,-3,8,-4,5,7]
[8,4,-7,5,1,-6,-3,-2]=>[-2,-3,-6,1,5,-7,4,8]
[8,4,5,-7,6,-3,1,2]=>[2,1,-3,6,-7,5,4,8]
[7,4,8,-6,5,1,2,3]=>[3,2,1,5,-6,8,4,7]
[7,4,8,-6,-1,-5,-3,2]=>[2,-3,-5,-1,-6,8,4,7]
[7,3,8,-6,-5,2,-4,-1]=>[-1,-4,2,-5,-6,8,3,7]
[3,7,8,-6,-5,-1,-4,-2]=>[-2,-4,-1,-5,-6,8,7,3]
[6,7,-3,8,-5,-2,-4,-1]=>[-1,-4,-2,-5,8,-3,7,6]
[6,2,7,8,-5,3,-4,-1]=>[-1,-4,3,-5,8,7,2,6]
[6,3,7,8,4,-5,-2,-1]=>[-1,-2,-5,4,8,7,3,6]
[6,7,-4,8,-3,-5,-2,-1]=>[-1,-2,-5,-3,8,-4,7,6]
[6,7,8,-5,4,1,2,3]=>[3,2,1,4,-5,8,7,6]
[4,7,8,5,-6,1,2,3]=>[3,2,1,-6,5,8,7,4]
[7,1,8,5,-6,-4,2,3]=>[3,2,-4,-6,5,8,1,7]
[7,5,8,-1,-6,-4,2,3]=>[3,2,-4,-6,-1,8,5,7]
[8,5,6,1,-7,-4,2,3]=>[3,2,-4,-7,1,6,5,8]
[8,5,6,1,-7,2,3,4]=>[4,3,2,-7,1,6,5,8]
[7,5,8,2,-6,-1,3,4]=>[4,3,-1,-6,2,8,5,7]
[5,7,8,-1,-6,-4,2,3]=>[3,2,-4,-6,-1,8,7,5]
[6,7,8,-4,5,-3,1,2]=>[2,1,-3,5,-4,8,7,6]
[6,7,4,8,5,-3,-2,1]=>[1,-2,-3,5,8,4,7,6]
[6,4,7,8,-3,-5,-2,-1]=>[-1,-2,-5,-3,8,7,4,6]
[7,-6,8,4,-3,-5,-2,-1]=>[-1,-2,-5,-3,4,8,-6,7]
[7,8,-6,4,1,-5,-3,2]=>[2,-3,-5,1,4,-6,8,7]
[7,8,4,-6,5,1,2,3]=>[3,2,1,5,-6,4,8,7]
[7,8,5,-1,-6,-4,2,3]=>[3,2,-4,-6,-1,5,8,7]
[7,8,5,2,-6,-1,3,4]=>[4,3,-1,-6,2,5,8,7]
[7,8,6,1,-5,2,3,4]=>[4,3,2,-5,1,6,8,7]
[8,6,1,-5,-7,2,3,4]=>[4,3,2,-7,-5,1,6,8]
[3,7,5,8,1,2,4,6]=>[6,4,2,1,8,5,7,3]
[8,6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6,8]
[1,-8,5,4,3,2,7,6]=>[6,7,2,3,4,5,-8,1]
[1,-8,6,4,3,7,2,5]=>[5,2,7,3,4,6,-8,1]
[1,-8,7,4,3,6,5,2]=>[2,5,6,3,4,7,-8,1]
[1,-8,7,5,6,3,4,2]=>[2,4,3,6,5,7,-8,1]
[1,-8,6,5,7,3,2,4]=>[4,2,3,7,5,6,-8,1]
[1,-8,3,2,7,6,5,4]=>[4,5,6,7,2,3,-8,1]
[1,-8,4,7,2,6,5,3]=>[3,5,6,2,7,4,-8,1]
[1,-8,5,7,6,2,4,3]=>[3,4,2,6,7,5,-8,1]
[1,-8,6,7,5,4,2,3]=>[3,2,4,5,7,6,-8,1]
[1,-8,7,6,5,4,3,2]=>[2,3,4,5,6,7,-8,1]
[6,7,3,4,5,8,1,2]=>[2,1,8,5,4,3,7,6]
[5,-8,-4,2,-7,-6,1,3]=>[3,1,-6,-7,2,-4,-8,5]
[6,7,4,5,1,2,3,8]=>[8,3,2,1,5,4,7,6]
[-7,-5,4,6,1,2,3,8]=>[8,3,2,1,6,4,-5,-7]
[-6,-4,2,8,-7,-5,1,3]=>[3,1,-5,-7,8,2,-4,-6]
[-7,-5,3,4,6,8,1,2]=>[2,1,8,6,4,3,-5,-7]
[-8,-7,-5,-4,3,6,1,2]=>[2,1,6,3,-4,-5,-7,-8]
[-8,3,-6,4,5,7,1,2]=>[2,1,7,5,4,-6,3,-8]
[5,8,3,4,6,7,1,2]=>[2,1,7,6,4,3,8,5]
[-8,-4,3,5,6,7,1,2]=>[2,1,7,6,5,3,-4,-8]
[2,6,7,8,-5,-4,1,3]=>[3,1,-4,-5,8,7,6,2]
[3,7,-6,-5,1,2,4,8]=>[8,4,2,1,-5,-6,7,3]
[3,8,-7,-6,-5,-2,1,4]=>[4,1,-2,-5,-6,-7,8,3]
[-8,2,7,-6,-5,-3,1,4]=>[4,1,-3,-5,-6,7,2,-8]
[-8,-6,2,7,-5,-4,1,3]=>[3,1,-4,-5,7,2,-6,-8]
[7,-6,-4,2,-8,-5,1,3]=>[3,1,-5,-8,2,-4,-6,7]
[-4,5,-7,2,-8,-6,1,3]=>[3,1,-6,-8,2,-7,5,-4]
[-5,-4,-8,2,6,-7,1,3]=>[3,1,-7,6,2,-8,-4,-5]
[1,7,8,4,5,2,3,6]=>[6,3,2,5,4,8,7,1]
[-8,4,-6,5,1,2,3,7]=>[7,3,2,1,5,-6,4,-8]
[5,8,4,6,1,2,3,7]=>[7,3,2,1,6,4,8,5]
[-8,-4,5,6,1,2,3,7]=>[7,3,2,1,6,5,-4,-8]
[5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5]
[-6,-4,1,2,3,5,7,8]=>[8,7,5,3,2,1,-4,-6]
[-6,-8,-4,-3,1,2,5,7]=>[7,5,2,1,-3,-4,-8,-6]
[6,3,-8,-4,1,2,5,7]=>[7,5,2,1,-4,-8,3,6]
[-3,-6,-8,-5,1,2,4,7]=>[7,4,2,1,-5,-8,-6,-3]
[1,-8,3,5,-6,2,4,7]=>[7,4,2,-6,5,3,-8,1]
[1,3,-8,5,-7,2,4,6]=>[6,4,2,-7,5,-8,3,1]
[2,3,-8,5,6,-7,1,4]=>[4,1,-7,6,5,-8,3,2]
[2,7,3,5,-8,-6,1,4]=>[4,1,-6,-8,5,3,7,2]
[-6,-2,3,7,-8,-5,1,4]=>[4,1,-5,-8,7,3,-2,-6]
[2,3,6,7,-8,-4,1,5]=>[5,1,-4,-8,7,6,3,2]
[2,7,-8,-6,-4,-3,1,5]=>[5,1,-3,-4,-6,-8,7,2]
[-8,-7,-6,-4,-3,-2,1,5]=>[5,1,-2,-3,-4,-6,-7,-8]
[-7,-6,-4,-3,1,2,5,8]=>[8,5,2,1,-3,-4,-6,-7]
[3,6,-7,-4,1,2,5,8]=>[8,5,2,1,-4,-7,6,3]
[3,6,-8,-7,-4,-2,1,5]=>[5,1,-2,-4,-7,-8,6,3]
[7,8,2,6,-5,-4,1,3]=>[3,1,-4,-5,6,2,8,7]
[-6,2,3,-8,-7,-5,1,4]=>[4,1,-5,-7,-8,3,2,-6]
[6,3,-7,-5,1,2,4,8]=>[8,4,2,1,-5,-7,3,6]
[3,-7,5,-6,1,2,4,8]=>[8,4,2,1,-6,5,-7,3]
[8,2,3,5,-7,-6,1,4]=>[4,1,-6,-7,5,3,2,8]
[3,-7,2,5,8,-6,1,4]=>[4,1,-6,8,5,2,-7,3]
[5,-8,1,-7,6,2,3,4]=>[4,3,2,6,-7,1,-8,5]
[-8,-6,5,1,7,2,3,4]=>[4,3,2,7,1,5,-6,-8]
[7,-2,8,-6,1,3,4,5]=>[5,4,3,1,-6,8,-2,7]
[-7,1,-5,2,3,4,6,8]=>[8,6,4,3,2,-5,1,-7]
[8,2,-7,-5,1,3,4,6]=>[6,4,3,1,-5,-7,2,8]
[-8,-7,-5,1,-4,2,3,6]=>[6,3,2,-4,1,-5,-7,-8]
[-7,-8,-4,1,-5,2,3,6]=>[6,3,2,-5,1,-4,-8,-7]
[8,7,-4,1,-6,2,3,5]=>[5,3,2,-6,1,-4,7,8]
[8,-4,6,1,-7,2,3,5]=>[5,3,2,-7,1,6,-4,8]
[-8,-4,3,7,1,2,5,6]=>[6,5,2,1,7,3,-4,-8]
[2,8,-7,-4,1,3,5,6]=>[6,5,3,1,-4,-7,8,2]
[-7,-3,1,2,4,5,6,8]=>[8,6,5,4,2,1,-3,-7]
[-8,-7,-3,-2,1,4,5,6]=>[6,5,4,1,-2,-3,-7,-8]
[2,7,-8,-3,1,4,5,6]=>[6,5,4,1,-3,-8,7,2]
[7,2,-8,-4,1,3,5,6]=>[6,5,3,1,-4,-8,2,7]
[-2,-7,-8,-5,1,3,4,6]=>[6,4,3,1,-5,-8,-7,-2]
[-2,8,7,-6,1,3,4,5]=>[5,4,3,1,-6,7,8,-2]
[-8,2,1,6,-7,3,4,5]=>[5,4,3,-7,6,1,2,-8]
[1,-8,2,-6,3,4,5,7]=>[7,5,4,3,-6,2,-8,1]
[-8,1,-4,2,3,5,6,7]=>[7,6,5,3,2,-4,1,-8]
[3,8,1,2,4,5,6,7]=>[7,6,5,4,2,1,8,3]
[-8,-2,1,3,4,5,6,7]=>[7,6,5,4,3,1,-2,-8]
[1,8,5,6,4,2,-7,3]=>[3,-7,2,4,6,5,8,1]
[-6,-8,1,-4,5,2,-7,3]=>[3,-7,2,5,-4,1,-8,-6]
[1,8,-4,6,5,2,-7,3]=>[3,-7,2,5,6,-4,8,1]
[7,-4,-8,1,5,2,-6,3]=>[3,-6,2,5,1,-8,-4,7]
[-4,1,-8,7,5,2,-6,3]=>[3,-6,2,5,7,-8,1,-4]
[1,-5,3,-7,2,-8,-6,4]=>[4,-6,-8,2,-7,3,-5,1]
[-3,-5,1,-7,2,-8,-6,4]=>[4,-6,-8,2,-7,1,-5,-3]
[3,5,-6,1,2,-8,-7,4]=>[4,-7,-8,2,1,-6,5,3]
[6,5,3,1,2,-8,-7,4]=>[4,-7,-8,2,1,3,5,6]
[3,8,6,4,-7,5,1,2]=>[2,1,5,-7,4,6,8,3]
[7,8,6,-2,5,1,-4,3]=>[3,-4,1,5,-2,6,8,7]
[2,5,-6,3,1,-8,-7,4]=>[4,-7,-8,1,3,-6,5,2]
[-6,5,2,1,3,-8,-7,4]=>[4,-7,-8,3,1,2,5,-6]
[1,2,6,5,3,-8,-7,4]=>[4,-7,-8,3,5,6,2,1]
[-7,5,1,2,3,-8,-6,4]=>[4,-6,-8,3,2,1,5,-7]
[-7,1,2,5,3,-8,-6,4]=>[4,-6,-8,3,5,2,1,-7]
[-6,1,2,-7,3,-5,-8,4]=>[4,-8,-5,3,-7,2,1,-6]
[1,6,2,-7,3,-5,-8,4]=>[4,-8,-5,3,-7,2,6,1]
[-6,-2,1,-7,3,-5,-8,4]=>[4,-8,-5,3,-7,1,-2,-6]
[-7,-2,1,5,3,-8,-6,4]=>[4,-6,-8,3,5,1,-2,-7]
[-2,-5,3,-7,1,-8,-6,4]=>[4,-6,-8,1,-7,3,-5,-2]
[2,-4,-8,7,5,1,-6,3]=>[3,-6,1,5,7,-8,-4,2]
[7,3,-8,4,-6,5,1,2]=>[2,1,5,-6,4,-8,3,7]
[3,-8,7,4,-6,5,1,2]=>[2,1,5,-6,4,7,-8,3]
[-2,4,-8,7,5,1,-6,3]=>[3,-6,1,5,7,-8,4,-2]
[3,5,-2,-7,1,-8,-6,4]=>[4,-6,-8,1,-7,-2,5,3]
[-2,7,1,5,3,-8,-6,4]=>[4,-6,-8,3,5,1,7,-2]
[-2,6,1,-7,3,-5,-8,4]=>[4,-8,-5,3,-7,1,6,-2]
[1,2,-7,6,3,-5,-8,4]=>[4,-8,-5,3,6,-7,2,1]
[1,2,-4,3,-6,-7,-8,5]=>[5,-8,-7,-6,3,-4,2,1]
[-2,4,1,3,-6,-7,-8,5]=>[5,-8,-7,-6,3,1,4,-2]
[3,-2,-4,1,-6,-7,-8,5]=>[5,-8,-7,-6,1,-4,-2,3]
[3,-2,-7,6,1,-5,-8,4]=>[4,-8,-5,1,6,-7,-2,3]
[7,-2,-4,-5,6,1,-8,3]=>[3,-8,1,6,-5,-4,-2,7]
[3,-5,4,-7,-8,6,1,2]=>[2,1,6,-8,-7,4,-5,3]
[5,3,4,-7,-8,6,1,2]=>[2,1,6,-8,-7,4,3,5]
[2,7,-4,-5,6,1,-8,3]=>[3,-8,1,6,-5,-4,7,2]
[2,3,-7,6,1,-5,-8,4]=>[4,-8,-5,1,6,-7,3,2]
[2,3,-4,1,-6,-7,-8,5]=>[5,-8,-7,-6,1,-4,3,2]
[-4,-2,1,3,-6,-7,-8,5]=>[5,-8,-7,-6,3,1,-2,-4]
[1,4,2,3,-6,-7,-8,5]=>[5,-8,-7,-6,3,2,4,1]
[-4,1,2,3,-6,-7,-8,5]=>[5,-8,-7,-6,3,2,1,-4]
[1,-3,-4,2,-6,-7,-8,5]=>[5,-8,-7,-6,2,-4,-3,1]
[3,1,-4,2,-6,-7,-8,5]=>[5,-8,-7,-6,2,-4,1,3]
[-4,3,1,2,-6,-7,-8,5]=>[5,-8,-7,-6,2,1,3,-4]
[-7,3,1,5,2,-8,-6,4]=>[4,-6,-8,2,5,1,3,-7]
[6,-3,1,-7,2,-5,-8,4]=>[4,-8,-5,2,-7,1,-3,6]
[3,1,-7,6,2,-5,-8,4]=>[4,-8,-5,2,6,-7,1,3]
[1,-3,-7,6,2,-5,-8,4]=>[4,-8,-5,2,6,-7,-3,1]
[1,-7,-4,-5,6,2,-8,3]=>[3,-8,2,6,-5,-4,-7,1]
[7,1,-4,-5,6,2,-8,3]=>[3,-8,2,6,-5,-4,1,7]
[6,-7,1,-4,-8,2,-5,3]=>[3,-5,2,-8,-4,1,-7,6]
[7,-8,1,-4,5,2,-6,3]=>[3,-6,2,5,-4,1,-8,7]
[-6,5,7,1,4,2,-8,3]=>[3,-8,2,4,1,7,5,-6]
[5,6,-8,7,3,4,1,2]=>[2,1,4,3,7,-8,6,5]
[2,-7,-6,-5,4,1,-8,3]=>[3,-8,1,4,-5,-6,-7,2]
[-7,6,1,-5,-8,2,-4,3]=>[3,-4,2,-8,-5,1,6,-7]
[-7,1,-5,-4,6,2,-8,3]=>[3,-8,2,6,-4,-5,1,-7]
[1,7,-5,-4,6,2,-8,3]=>[3,-8,2,6,-4,-5,7,1]
[1,7,-3,6,2,-5,-8,4]=>[4,-8,-5,2,6,-3,7,1]
[-7,1,-3,6,2,-5,-8,4]=>[4,-8,-5,2,6,-3,1,-7]
[3,7,1,5,2,-8,-6,4]=>[4,-6,-8,2,5,1,7,3]
[2,5,-7,-3,1,-8,-6,4]=>[4,-6,-8,1,-3,-7,5,2]
[8,7,2,-6,5,1,-4,3]=>[3,-4,1,5,-6,2,7,8]
[8,-4,7,3,-6,5,1,2]=>[2,1,5,-6,3,7,-4,8]
[5,-4,3,-7,-8,6,1,2]=>[2,1,6,-8,-7,3,-4,5]
[2,-7,-5,-4,6,1,-8,3]=>[3,-8,1,6,-4,-5,-7,2]
[2,-7,-3,6,1,-5,-8,4]=>[4,-8,-5,1,6,-3,-7,2]
[2,-4,-3,1,-6,-7,-8,5]=>[5,-8,-7,-6,1,-3,-4,2]
[-4,1,-3,2,-6,-7,-8,5]=>[5,-8,-7,-6,2,-3,1,-4]
[1,4,-3,2,-6,-7,-8,5]=>[5,-8,-7,-6,2,-3,4,1]
[1,-3,2,4,-6,-7,-8,5]=>[5,-8,-7,-6,4,2,-3,1]
[3,1,2,4,-6,-7,-8,5]=>[5,-8,-7,-6,4,2,1,3]
[-2,-3,1,4,-6,-7,-8,5]=>[5,-8,-7,-6,4,1,-3,-2]
[-2,4,-3,1,-6,-7,-8,5]=>[5,-8,-7,-6,1,-3,4,-2]
[-2,7,-3,6,1,-5,-8,4]=>[4,-8,-5,1,6,-3,7,-2]
[-2,7,-5,-4,6,1,-8,3]=>[3,-8,1,6,-4,-5,7,-2]
[-4,3,5,-7,-8,6,1,2]=>[2,1,6,-8,-7,5,3,-4]
[3,4,5,-7,-8,6,1,2]=>[2,1,6,-8,-7,5,4,3]
[5,7,-2,-4,6,1,-8,3]=>[3,-8,1,6,-4,-2,7,5]
[3,7,-2,6,1,-5,-8,4]=>[4,-8,-5,1,6,-2,7,3]
[3,4,-2,1,-6,-7,-8,5]=>[5,-8,-7,-6,1,-2,4,3]
[3,-2,1,4,-6,-7,-8,5]=>[5,-8,-7,-6,4,1,-2,3]
[-2,1,3,4,-6,-7,-8,5]=>[5,-8,-7,-6,4,3,1,-2]
[1,2,3,4,-6,-7,-8,5]=>[5,-8,-7,-6,4,3,2,1]
[4,-1,-2,-3,6,-5,8,-7]=>[-7,8,-5,6,-3,-2,-1,4]
[5,-1,-3,6,-2,4,8,-7]=>[-7,8,4,-2,6,-3,-1,5]
[6,-1,-4,3,-2,-5,8,-7]=>[-7,8,-5,-2,3,-4,-1,6]
[7,-1,-5,3,-2,8,-4,6]=>[6,-4,8,-2,3,-5,-1,7]
[8,-1,-3,4,-2,5,-6,-7]=>[-7,-6,5,-2,4,-3,-1,8]
[8,3,4,-6,2,5,1,-7]=>[-7,1,5,2,-6,4,3,8]
[7,3,5,1,2,8,-4,6]=>[6,-4,8,2,1,5,3,7]
[6,3,4,1,2,-5,8,-7]=>[-7,8,-5,2,1,4,3,6]
[5,4,6,-2,-3,1,8,-7]=>[-7,8,1,-3,-2,6,4,5]
[2,-1,6,-3,-4,-5,8,-7]=>[-7,8,-5,-4,-3,6,-1,2]
[3,6,-4,2,-1,-5,8,-7]=>[-7,8,-5,-1,2,-4,6,3]
[4,6,3,-2,1,-5,8,-7]=>[-7,8,-5,1,-2,3,6,4]
[5,6,4,1,-3,-2,8,-7]=>[-7,8,-2,-3,1,4,6,5]
[6,-1,-2,-3,-4,-5,8,-7]=>[-7,8,-5,-4,-3,-2,-1,6]
[7,-1,-2,-3,-5,8,-4,6]=>[6,-4,8,-5,-3,-2,-1,7]
[8,-1,-2,-3,-6,5,-4,-7]=>[-7,-4,5,-6,-3,-2,-1,8]
[8,5,-2,-7,6,-4,-1,-3]=>[-3,-1,-4,6,-7,-2,5,8]
[7,6,-2,-3,8,-4,-5,1]=>[1,-5,-4,8,-3,-2,6,7]
[5,7,4,3,8,-2,-1,6]=>[6,-1,-2,8,3,4,7,5]
[5,7,-1,-4,-6,8,-3,2]=>[2,-3,8,-6,-4,-1,7,5]
[5,7,3,-2,1,8,-4,6]=>[6,-4,8,1,-2,3,7,5]
[3,7,-5,2,-1,8,-4,6]=>[6,-4,8,-1,2,-5,7,3]
[2,-1,7,-3,-5,8,-4,6]=>[6,-4,8,-5,-3,7,-1,2]
[2,-1,8,-3,-6,5,-4,-7]=>[-7,-4,5,-6,-3,8,-1,2]
[4,8,-3,2,-1,5,-6,-7]=>[-7,-6,5,-1,2,-3,8,4]
[4,8,3,-1,2,5,-6,-7]=>[-7,-6,5,2,-1,3,8,4]
[5,8,-2,-4,-6,1,-3,-7]=>[-7,-3,1,-6,-4,-2,8,5]
[6,8,-1,-2,5,-7,4,-3]=>[-3,4,-7,5,-2,-1,8,6]
[7,8,4,3,6,-1,-5,-2]=>[-2,-5,-1,6,3,4,8,7]
[8,4,-2,-6,-1,-3,-5,-7]=>[-7,-5,-3,-1,-6,-2,4,8]
[8,5,3,4,-1,2,-6,-7]=>[-7,-6,2,-1,4,3,5,8]
[6,8,1,5,-3,-7,2,-4]=>[-4,2,-7,-3,5,1,8,6]
[2,8,5,6,1,3,4,-7]=>[-7,4,3,1,6,5,8,2]
[4,8,3,-7,6,-2,1,-5]=>[-5,1,-2,6,-7,3,8,4]
[3,8,-2,5,6,-1,4,-7]=>[-7,4,-1,6,5,-2,8,3]
[4,-2,8,5,6,-3,-1,-7]=>[-7,-1,-3,6,5,8,-2,4]
[3,-1,7,6,8,-4,-5,-2]=>[-2,-5,-4,8,6,7,-1,3]
[2,7,-6,4,8,1,-5,3]=>[3,-5,1,8,4,-6,7,2]
[4,7,3,-6,8,-2,-5,-1]=>[-1,-5,-2,8,-6,3,7,4]
[6,7,3,8,1,2,-5,4]=>[4,-5,2,1,8,3,7,6]
[6,7,5,8,3,-2,1,4]=>[4,1,-2,3,8,5,7,6]
[7,6,-2,8,-3,-4,-5,-1]=>[-1,-5,-4,-3,8,-2,6,7]
[8,5,2,6,-3,-7,-1,-4]=>[-4,-1,-7,-3,6,2,5,8]
[8,-7,5,6,1,3,4,2]=>[2,4,3,1,6,5,-7,8]
[7,1,6,8,2,3,-5,4]=>[4,-5,3,2,8,6,1,7]
[5,1,7,8,-2,-3,4,6]=>[6,4,-3,-2,8,7,1,5]
[5,3,7,-4,-6,8,-2,1]=>[1,-2,8,-6,-4,7,3,5]
[5,4,7,-1,8,-2,3,6]=>[6,3,-2,8,-1,7,4,5]
[7,1,4,-6,8,-2,-5,3]=>[3,-5,-2,8,-6,4,1,7]
[8,2,5,-4,6,-1,3,-7]=>[-7,3,-1,6,-4,5,2,8]
[8,2,-3,5,6,-1,4,-7]=>[-7,4,-1,6,5,-3,2,8]
[7,-2,-6,3,8,-1,-5,4]=>[4,-5,-1,8,3,-6,-2,7]
[4,-2,-3,7,8,-1,5,6]=>[6,5,-1,8,7,-3,-2,4]
[5,-1,-3,7,-6,8,-2,4]=>[4,-2,8,-6,7,-3,-1,5]
[5,-1,-2,-3,7,8,-4,6]=>[6,-4,8,7,-3,-2,-1,5]
[2,-1,4,-3,8,-5,-6,-7]=>[-7,-6,-5,8,-3,4,-1,2]
[3,4,1,2,8,-5,-6,-7]=>[-7,-6,-5,8,2,1,4,3]
[4,-1,-2,-3,8,-5,-6,-7]=>[-7,-6,-5,8,-3,-2,-1,4]
[5,-1,-2,8,-6,4,-3,-7]=>[-7,-3,4,-6,8,-2,-1,5]
[6,-1,-3,8,5,-4,-2,-7]=>[-7,-2,-4,5,8,-3,-1,6]
[7,-1,-3,8,6,-2,-5,-4]=>[-4,-5,-2,6,8,-3,-1,7]
[8,-1,-4,3,-2,-5,-6,-7]=>[-7,-6,-5,-2,3,-4,-1,8]
[8,3,4,-5,2,-1,-6,-7]=>[-7,-6,-1,2,-5,4,3,8]
[7,4,8,-3,6,2,-5,-1]=>[-1,-5,2,6,-3,8,4,7]
[6,4,8,-3,5,-7,1,-2]=>[-2,1,-7,5,-3,8,4,6]
[5,2,8,-4,-6,1,-3,-7]=>[-7,-3,1,-6,-4,8,2,5]
[3,5,8,-6,1,4,2,-7]=>[-7,2,4,1,-6,8,5,3]
[3,5,-4,8,-6,2,-1,-7]=>[-7,-1,2,-6,8,-4,5,3]
[2,-1,5,8,-6,4,-3,-7]=>[-7,-3,4,-6,8,5,-1,2]
[3,-1,6,8,5,-4,-2,-7]=>[-7,-2,-4,5,8,6,-1,3]
[3,6,-5,8,2,-4,1,-7]=>[-7,1,-4,2,8,-5,6,3]
[3,6,8,-7,4,-5,2,1]=>[1,2,-5,4,-7,8,6,3]
[4,6,8,5,1,2,3,-7]=>[-7,3,2,1,5,8,6,4]
[6,5,8,1,-3,-4,-2,-7]=>[-7,-2,-4,-3,1,8,5,6]
[7,5,8,6,2,3,-4,-1]=>[-1,-4,3,2,6,8,5,7]
[8,4,5,2,-3,1,-6,-7]=>[-7,-6,1,-3,2,5,4,8]
[8,5,6,2,1,-4,-3,-7]=>[-7,-3,-4,1,2,6,5,8]
[7,6,8,1,-2,-4,-5,-3]=>[-3,-5,-4,-2,1,8,6,7]
[5,7,8,6,4,-3,1,2]=>[2,1,-3,4,6,8,7,5]
[4,7,8,6,1,3,-5,2]=>[2,-5,3,1,6,8,7,4]
[2,7,8,-4,6,3,-5,1]=>[1,-5,3,6,-4,8,7,2]
[3,7,-6,8,2,1,-5,-4]=>[-4,-5,1,2,8,-6,7,3]
[3,-1,7,8,6,-2,-5,-4]=>[-4,-5,-2,6,8,7,-1,3]
[2,-1,8,-3,-4,-5,-6,-7]=>[-7,-6,-5,-4,-3,8,-1,2]
[3,8,-4,2,-1,-5,-6,-7]=>[-7,-6,-5,-1,2,-4,8,3]
[4,8,3,-5,-1,-2,-6,-7]=>[-7,-6,-2,-1,-5,3,8,4]
[5,8,4,1,-3,-2,-6,-7]=>[-7,-6,-2,-3,1,4,8,5]
[6,8,5,1,-2,-4,-3,-7]=>[-7,-3,-4,-2,1,5,8,6]
[7,8,6,1,-2,-3,-5,-4]=>[-4,-5,-3,-2,1,6,8,7]
[8,-1,-2,-3,-4,-5,-6,-7]=>[-7,-6,-5,-4,-3,-2,-1,8]
[-3,8,-6,-4,1,2,5,7]=>[7,5,2,1,-4,-6,8,-3]
[-6,-3,8,-5,1,2,4,7]=>[7,4,2,1,-5,8,-3,-6]
[5,-3,8,-6,1,2,4,7]=>[7,4,2,1,-6,8,-3,5]
[3,5,-8,7,1,2,4,6]=>[6,4,2,1,7,-8,5,3]
[-4,5,8,7,1,2,3,6]=>[6,3,2,1,7,8,5,-4]
[-4,5,-7,8,1,2,3,6]=>[6,3,2,1,8,-7,5,-4]
[4,5,1,-8,-6,2,3,7]=>[7,3,2,-6,-8,1,5,4]
[8,-4,1,-6,-5,2,3,7]=>[7,3,2,-5,-6,1,-4,8]
[-5,2,-8,-6,1,3,4,7]=>[7,4,3,1,-6,-8,2,-5]
[-5,-3,8,-6,1,2,4,7]=>[7,4,2,1,-6,8,-3,-5]
[8,-5,1,-6,-4,2,3,7]=>[7,3,2,-4,-6,1,-5,8]
[-4,-8,1,-6,-5,2,3,7]=>[7,3,2,-5,-6,1,-8,-4]
[-5,4,1,-8,-6,2,3,7]=>[7,3,2,-6,-8,1,4,-5]
[5,4,-7,8,1,2,3,6]=>[6,3,2,1,8,-7,4,5]
[4,-6,7,1,-8,2,3,5]=>[5,3,2,-8,1,7,-6,4]
[6,4,8,1,-7,2,3,5]=>[5,3,2,-7,1,8,4,6]
[-8,-4,-7,1,-6,2,3,5]=>[5,3,2,-6,1,-7,-4,-8]
[-5,4,-7,8,1,2,3,6]=>[6,3,2,1,8,-7,4,-5]
[4,5,-7,8,1,2,3,6]=>[6,3,2,1,8,-7,5,4]
[3,-7,5,8,1,2,4,6]=>[6,4,2,1,8,5,-7,3]
[5,2,8,-7,1,3,4,6]=>[6,4,3,1,-7,8,2,5]
[7,-5,2,-8,1,3,4,6]=>[6,4,3,1,-8,2,-5,7]
[4,5,8,7,1,2,3,6]=>[6,3,2,1,7,8,5,4]
[-5,4,8,7,1,2,3,6]=>[6,3,2,1,7,8,4,-5]
[7,-4,-8,1,-6,2,3,5]=>[5,3,2,-6,1,-8,-4,7]
[4,7,6,1,-8,2,3,5]=>[5,3,2,-8,1,6,7,4]
[-5,-7,1,-8,6,2,3,4]=>[4,3,2,6,-8,1,-7,-5]
[8,-6,5,1,7,2,3,4]=>[4,3,2,7,1,5,-6,8]
[-8,-5,6,1,7,2,3,4]=>[4,3,2,7,1,6,-5,-8]
[-6,4,7,1,-8,2,3,5]=>[5,3,2,-8,1,7,4,-6]
[-6,7,-8,3,1,2,4,5]=>[5,4,2,1,3,-8,7,-6]
[2,7,-6,-8,1,3,4,5]=>[5,4,3,1,-8,-6,7,2]
[2,-8,-6,-7,1,3,4,5]=>[5,4,3,1,-7,-6,-8,2]
[-6,-8,-7,3,1,2,4,5]=>[5,4,2,1,3,-7,-8,-6]
[-4,8,-6,1,-7,2,3,5]=>[5,3,2,-7,1,-6,8,-4]
[-7,5,6,1,8,2,3,4]=>[4,3,2,8,1,6,5,-7]
[-7,-6,5,1,8,2,3,4]=>[4,3,2,8,1,5,-6,-7]
[6,-7,5,1,8,2,3,4]=>[4,3,2,8,1,5,-7,6]
[5,-6,1,-8,7,2,3,4]=>[4,3,2,7,-8,1,-6,5]
[-6,-5,1,-8,7,2,3,4]=>[4,3,2,7,-8,1,-5,-6]
[7,5,6,1,8,2,3,4]=>[4,3,2,8,1,6,5,7]
[-6,5,7,1,8,2,3,4]=>[4,3,2,8,1,7,5,-6]
[4,7,-5,8,1,2,3,6]=>[6,3,2,1,8,-5,7,4]
[-7,8,-4,1,-6,2,3,5]=>[5,3,2,-6,1,-4,8,-7]
[-8,-4,-6,1,-7,2,3,5]=>[5,3,2,-7,1,-6,-4,-8]
[6,4,7,1,-8,2,3,5]=>[5,3,2,-8,1,7,4,6]
[3,6,7,1,-8,2,4,5]=>[5,4,2,-8,1,7,6,3]
[6,8,-3,1,-7,2,4,5]=>[5,4,2,-7,1,-3,8,6]
[8,-7,-3,1,-6,2,4,5]=>[5,4,2,-6,1,-3,-7,8]
[7,-5,3,8,1,2,4,6]=>[6,4,2,1,8,3,-5,7]
[-4,3,7,8,1,2,5,6]=>[6,5,2,1,8,7,3,-4]
[-7,4,-8,-2,1,3,5,6]=>[6,5,3,1,-2,-8,4,-7]
[-8,3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3,-8]
[-7,-8,-3,1,-6,2,4,5]=>[5,4,2,-6,1,-3,-8,-7]
[3,6,8,1,-7,2,4,5]=>[5,4,2,-7,1,8,6,3]
[-7,3,6,1,-8,2,4,5]=>[5,4,2,-8,1,6,3,-7]
[4,-7,6,1,-8,2,3,5]=>[5,3,2,-8,1,6,-7,4]
[6,-4,-8,1,-7,2,3,5]=>[5,3,2,-7,1,-8,-4,6]
[-8,4,-5,7,1,2,3,6]=>[6,3,2,1,7,-5,4,-8]
[-5,-8,-4,7,1,2,3,6]=>[6,3,2,1,7,-4,-8,-5]
[5,-8,3,7,1,2,4,6]=>[6,4,2,1,7,3,-8,5]
[-7,-5,2,-8,1,3,4,6]=>[6,4,3,1,-8,2,-5,-7]
[2,8,7,-6,1,3,4,5]=>[5,4,3,1,-6,7,8,2]
[-7,-8,-6,3,1,2,4,5]=>[5,4,2,1,3,-6,-8,-7]
[-4,7,-8,1,-6,2,3,5]=>[5,3,2,-6,1,-8,7,-4]
[-8,5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5,-8]
[-8,-5,1,-7,6,2,3,4]=>[4,3,2,6,-7,1,-5,-8]
[5,-7,1,-8,6,2,3,4]=>[4,3,2,6,-8,1,-7,5]
[6,7,1,-8,5,2,3,4]=>[4,3,2,5,-8,1,7,6]
[8,-6,1,-7,5,2,3,4]=>[4,3,2,5,-7,1,-6,8]
[-8,-7,1,-6,5,2,3,4]=>[4,3,2,5,-6,1,-7,-8]
[-7,-5,8,1,6,2,3,4]=>[4,3,2,6,1,8,-5,-7]
[-6,-4,-8,1,-7,2,3,5]=>[5,3,2,-7,1,-8,-4,-6]
[-8,6,-7,3,1,2,4,5]=>[5,4,2,1,3,-7,6,-8]
[-8,6,2,-7,1,3,4,5]=>[5,4,3,1,-7,2,6,-8]
[-6,2,-7,-8,1,3,4,5]=>[5,4,3,1,-8,-7,2,-6]
[7,6,-8,3,1,2,4,5]=>[5,4,2,1,3,-8,6,7]
[7,4,6,1,-8,2,3,5]=>[5,3,2,-8,1,6,4,7]
[8,-5,7,1,6,2,3,4]=>[4,3,2,6,1,7,-5,8]
[7,-8,1,-6,5,2,3,4]=>[4,3,2,5,-6,1,-8,7]
[-6,-8,1,-7,5,2,3,4]=>[4,3,2,5,-7,1,-8,-6]
[-7,6,1,-8,5,2,3,4]=>[4,3,2,5,-8,1,6,-7]
[8,1,4,5,2,3,6,-7]=>[-7,6,3,2,5,4,1,8]
[1,8,4,5,2,3,7,-6]=>[-6,7,3,2,5,4,8,1]
[6,7,4,5,2,3,8,-1]=>[-1,8,3,2,5,4,7,6]
[6,7,3,2,5,4,8,-1]=>[-1,8,4,5,2,3,7,6]
[1,8,3,2,5,4,7,-6]=>[-6,7,4,5,2,3,8,1]
[8,1,3,2,5,4,6,-7]=>[-7,6,4,5,2,3,1,8]
[8,3,1,2,6,4,5,-7]=>[-7,5,4,6,2,1,3,8]
[8,3,4,5,6,1,2,-7]=>[-7,2,1,6,5,4,3,8]
[8,2,4,5,1,6,3,-7]=>[-7,3,6,1,5,4,2,8]
[8,2,3,1,5,6,4,-7]=>[-7,4,6,5,1,3,2,8]
[8,2,1,3,4,6,5,-7]=>[-7,5,6,4,3,1,2,8]
[8,1,2,3,4,5,6,-7]=>[-7,6,5,4,3,2,1,8]
[1,8,2,3,4,5,7,-6]=>[-6,7,5,4,3,2,8,1]
[6,7,2,3,4,5,8,-1]=>[-1,8,5,4,3,2,7,6]
[5,2,7,3,4,6,8,-1]=>[-1,8,6,4,3,7,2,5]
[1,2,8,3,4,6,7,-5]=>[-5,7,6,4,3,8,2,1]
[2,1,8,3,4,7,6,-5]=>[-5,6,7,4,3,8,1,2]
[2,8,1,3,4,7,5,-6]=>[-6,5,7,4,3,1,8,2]
[2,8,3,1,5,7,4,-6]=>[-6,4,7,5,1,3,8,2]
[2,8,4,5,1,7,3,-6]=>[-6,3,7,1,5,4,8,2]
[3,8,4,5,7,1,2,-6]=>[-6,2,1,7,5,4,8,3]
[6,7,4,5,8,1,2,-3]=>[-3,2,1,8,5,4,7,6]
[6,7,4,5,1,8,3,-2]=>[-2,3,8,1,5,4,7,6]
[6,7,3,1,5,8,4,-2]=>[-2,4,8,5,1,3,7,6]
[6,7,1,3,4,8,5,-2]=>[-2,5,8,4,3,1,7,6]
[5,1,7,3,4,8,6,-2]=>[-2,6,8,4,3,7,1,5]
[2,5,6,3,4,7,8,-1]=>[-1,8,7,4,3,6,5,2]
[2,4,3,6,5,7,8,-1]=>[-1,8,7,5,6,3,4,2]
[4,1,3,7,5,8,6,-2]=>[-2,6,8,5,7,3,1,4]
[4,3,1,7,6,8,5,-2]=>[-2,5,8,6,7,1,3,4]
[5,3,7,1,6,8,4,-2]=>[-2,4,8,6,1,7,3,5]
[5,4,7,6,1,8,3,-2]=>[-2,3,8,1,6,7,4,5]
[5,4,7,6,8,1,2,-3]=>[-3,2,1,8,6,7,4,5]
[3,4,8,6,7,1,2,-5]=>[-5,2,1,7,6,8,4,3]
[2,4,8,6,1,7,3,-5]=>[-5,3,7,1,6,8,4,2]
[2,3,8,1,6,7,4,-5]=>[-5,4,7,6,1,8,3,2]
[2,3,1,8,6,7,5,-4]=>[-4,5,7,6,8,1,3,2]
[2,1,3,8,5,7,6,-4]=>[-4,6,7,5,8,3,1,2]
[1,2,3,8,5,6,7,-4]=>[-4,7,6,5,8,3,2,1]
[4,2,3,7,5,6,8,-1]=>[-1,8,6,5,7,3,2,4]
[4,3,2,7,6,5,8,-1]=>[-1,8,5,6,7,2,3,4]
[1,3,2,8,6,5,7,-4]=>[-4,7,5,6,8,2,3,1]
[3,8,1,2,7,4,5,-6]=>[-6,5,4,7,2,1,8,3]
[1,3,8,2,6,4,7,-5]=>[-5,7,4,6,2,8,3,1]
[5,3,7,2,6,4,8,-1]=>[-1,8,4,6,2,7,3,5]
[5,4,7,6,2,3,8,-1]=>[-1,8,3,2,6,7,4,5]
[1,4,8,6,2,3,7,-5]=>[-5,7,3,2,6,8,4,1]
[4,1,8,7,2,3,6,-5]=>[-5,6,3,2,7,8,1,4]
[5,1,7,8,2,3,6,-4]=>[-4,6,3,2,8,7,1,5]
[1,5,6,8,2,3,7,-4]=>[-4,7,3,2,8,6,5,1]
[4,5,6,7,2,3,8,-1]=>[-1,8,3,2,7,6,5,4]
[3,5,6,2,7,4,8,-1]=>[-1,8,4,7,2,6,5,3]
[1,5,6,2,8,4,7,-3]=>[-3,7,4,8,2,6,5,1]
[6,7,1,2,8,4,5,-3]=>[-3,5,4,8,2,1,7,6]
[6,7,2,1,8,5,4,-3]=>[-3,4,5,8,1,2,7,6]
[5,3,7,8,6,1,2,-4]=>[-4,2,1,6,8,7,3,5]
[5,2,7,8,1,6,3,-4]=>[-4,3,6,1,8,7,2,5]
[1,4,2,6,8,5,7,-3]=>[-3,7,5,8,6,2,4,1]
[3,4,2,6,7,5,8,-1]=>[-1,8,5,7,6,2,4,3]
[3,2,4,5,7,6,8,-1]=>[-1,8,6,7,5,4,2,3]
[1,2,4,5,8,6,7,-3]=>[-3,7,6,8,5,4,2,1]
[2,1,4,5,8,7,6,-3]=>[-3,6,7,8,5,4,1,2]
[2,4,1,6,8,7,5,-3]=>[-3,5,7,8,6,1,4,2]
[2,5,6,1,8,7,4,-3]=>[-3,4,7,8,1,6,5,2]
[2,5,6,8,1,7,3,-4]=>[-4,3,7,1,8,6,5,2]
[3,5,6,8,7,1,2,-4]=>[-4,2,1,7,8,6,5,3]
[4,5,6,7,8,1,2,-3]=>[-3,2,1,8,7,6,5,4]
[4,5,6,7,1,8,3,-2]=>[-2,3,8,1,7,6,5,4]
[3,5,6,1,7,8,4,-2]=>[-2,4,8,7,1,6,5,3]
[3,4,1,6,7,8,5,-2]=>[-2,5,8,7,6,1,4,3]
[3,1,4,5,7,8,6,-2]=>[-2,6,8,7,5,4,1,3]
[1,3,4,5,6,8,7,-2]=>[-2,7,8,6,5,4,3,1]
[1,2,3,-8,5,4,7,6]=>[6,7,4,5,-8,3,2,1]
[1,2,5,4,-8,3,7,6]=>[6,7,3,-8,4,5,2,1]
[1,4,5,3,2,-8,7,6]=>[6,7,-8,2,3,5,4,1]
[1,4,7,3,2,6,-8,5]=>[5,-8,6,2,3,7,4,1]
[1,6,7,3,2,5,4,-8]=>[-8,4,5,2,3,7,6,1]
[3,6,2,7,1,5,4,-8]=>[-8,4,5,1,7,2,6,3]
[3,4,2,7,1,6,-8,5]=>[5,-8,6,1,7,2,4,3]
[3,4,2,5,1,-8,7,6]=>[6,7,-8,1,5,2,4,3]
[1,4,3,5,-8,2,7,6]=>[6,7,2,-8,5,3,4,1]
[5,2,-8,4,3,1,7,6]=>[6,7,1,3,4,-8,2,5]
[5,4,3,-8,2,1,7,6]=>[6,7,1,2,-8,3,4,5]
[3,2,4,5,-8,1,7,6]=>[6,7,1,-8,5,4,2,3]
[1,2,3,4,5,-8,7,6]=>[6,7,-8,5,4,3,2,1]
[1,2,3,4,7,6,-8,5]=>[5,-8,6,7,4,3,2,1]
[1,2,3,6,7,5,4,-8]=>[-8,4,5,7,6,3,2,1]
[1,2,5,6,4,7,3,-8]=>[-8,3,7,4,6,5,2,1]
[1,2,3,6,5,7,-8,4]=>[4,-8,7,5,6,3,2,1]
[3,2,5,7,6,-8,1,4]=>[4,1,-8,6,7,5,2,3]
[3,2,4,6,-8,7,1,5]=>[5,1,7,-8,6,4,2,3]
[6,4,3,-8,2,7,1,5]=>[5,1,7,2,-8,3,4,6]
[6,2,-8,4,3,7,1,5]=>[5,1,7,3,4,-8,2,6]
[7,2,-8,4,3,6,5,1]=>[1,5,6,3,4,-8,2,7]
[7,4,3,-8,2,6,5,1]=>[1,5,6,2,-8,3,4,7]
[3,2,4,7,-8,6,5,1]=>[1,5,6,-8,7,4,2,3]
[3,2,6,7,5,-8,4,1]=>[1,4,-8,5,7,6,2,3]
[5,2,6,7,4,3,-8,1]=>[1,-8,3,4,7,6,2,5]
[1,4,5,6,3,2,7,-8]=>[-8,7,2,3,6,5,4,1]
[3,4,5,2,6,1,7,-8]=>[-8,7,1,6,2,5,4,3]
[5,4,6,3,7,2,-8,1]=>[1,-8,2,7,3,6,4,5]
[5,2,6,4,7,-8,3,1]=>[1,3,-8,7,4,6,2,5]
[7,6,4,5,-8,2,3,1]=>[1,3,2,-8,5,4,6,7]
[7,5,3,-8,6,2,4,1]=>[1,4,2,6,-8,3,5,7]
[7,2,-8,5,6,3,4,1]=>[1,4,3,6,5,-8,2,7]
[6,2,-8,5,7,3,1,4]=>[4,1,3,7,5,-8,2,6]
[6,5,3,-8,7,2,1,4]=>[4,1,2,7,-8,3,5,6]
[7,5,4,6,-8,2,1,3]=>[3,1,2,-8,6,4,5,7]
[4,2,6,5,7,-8,1,3]=>[3,1,-8,7,5,6,2,4]
[1,2,5,4,6,7,-8,3]=>[3,-8,7,6,4,5,2,1]
[1,4,5,3,6,7,2,-8]=>[-8,2,7,6,3,5,4,1]
[5,6,3,4,7,1,2,-8]=>[-8,2,1,7,4,3,6,5]
[4,6,2,5,7,1,-8,3]=>[3,-8,1,7,5,2,6,4]
[1,6,4,5,7,-8,2,3]=>[3,2,-8,7,5,4,6,1]
[1,4,3,6,-8,7,2,5]=>[5,2,7,-8,6,3,4,1]
[1,5,3,7,6,-8,2,4]=>[4,2,-8,6,7,3,5,1]
[3,5,2,7,6,1,-8,4]=>[4,-8,1,6,7,2,5,3]
[4,6,2,7,5,1,3,-8]=>[-8,3,1,5,7,2,6,4]
[1,6,7,4,5,2,3,-8]=>[-8,3,2,5,4,7,6,1]
[1,5,7,3,6,2,-8,4]=>[4,-8,2,6,3,7,5,1]
[1,2,7,5,6,-8,3,4]=>[4,3,-8,6,5,7,2,1]
[1,2,6,4,-8,7,3,5]=>[5,3,7,-8,4,6,2,1]
[1,2,3,-8,6,7,4,5]=>[5,4,7,6,-8,3,2,1]
[3,2,-8,1,7,6,5,4]=>[4,5,6,7,1,-8,2,3]
[1,2,3,-8,7,6,5,4]=>[4,5,6,7,-8,3,2,1]
[1,2,7,4,-8,6,5,3]=>[3,5,6,-8,4,7,2,1]
[1,2,7,6,5,-8,4,3]=>[3,4,-8,5,6,7,2,1]
[1,5,7,6,4,2,-8,3]=>[3,-8,2,4,6,7,5,1]
[1,6,7,5,4,3,2,-8]=>[-8,2,3,4,5,7,6,1]
[5,6,2,7,4,3,1,-8]=>[-8,1,3,4,7,2,6,5]
[1,6,5,7,4,3,-8,2]=>[2,-8,3,4,7,5,6,1]
[1,6,3,7,5,-8,4,2]=>[2,4,-8,5,7,3,6,1]
[1,4,3,7,-8,6,5,2]=>[2,5,6,-8,7,3,4,1]
[7,3,4,-8,1,6,5,2]=>[2,5,6,1,-8,4,3,7]
[4,2,-8,7,1,6,5,3]=>[3,5,6,1,7,-8,2,4]
[5,2,-8,7,6,1,4,3]=>[3,4,1,6,7,-8,2,5]
[7,3,5,-8,6,1,4,2]=>[2,4,1,6,-8,5,3,7]
[7,4,6,5,-8,1,3,2]=>[2,3,1,-8,5,6,4,7]
[1,6,5,4,7,-8,3,2]=>[2,3,-8,7,4,5,6,1]
[4,6,5,3,7,1,-8,2]=>[2,-8,1,7,3,5,6,4]
[5,6,4,3,7,2,1,-8]=>[-8,1,2,7,3,4,6,5]
[3,4,2,5,6,7,1,-8]=>[-8,1,7,6,5,2,4,3]
[1,4,3,5,6,7,-8,2]=>[2,-8,7,6,5,3,4,1]
[5,3,4,6,7,-8,1,2]=>[2,1,-8,7,6,4,3,5]
[7,5,6,4,-8,3,1,2]=>[2,1,3,-8,4,6,5,7]
[7,3,6,-8,5,4,1,2]=>[2,1,4,5,-8,6,3,7]
[6,2,-8,7,5,4,1,3]=>[3,1,4,5,7,-8,2,6]
[7,2,-8,6,5,4,3,1]=>[1,3,4,5,6,-8,2,7]
[7,6,3,-8,5,4,2,1]=>[1,2,4,5,-8,3,6,7]
[7,6,5,4,-8,3,2,1]=>[1,2,3,-8,4,5,6,7]
[5,4,3,6,7,-8,2,1]=>[1,2,-8,7,6,3,4,5]
[3,2,4,5,6,7,-8,1]=>[1,-8,7,6,5,4,2,3]
[1,2,3,4,5,6,7,-8]=>[-8,7,6,5,4,3,2,1]
[5,8,6,1,4,-7,2,3]=>[3,2,-7,4,1,6,8,5]
[6,-8,5,-4,-7,1,2,3]=>[3,2,1,-7,-4,5,-8,6]
[8,-4,6,5,-7,1,2,3]=>[3,2,1,-7,5,6,-4,8]
[-4,5,8,7,-6,1,2,3]=>[3,2,1,-6,7,8,5,-4]
[4,5,8,7,-6,1,2,3]=>[3,2,1,-6,7,8,5,4]
[3,8,5,7,-6,1,2,4]=>[4,2,1,-6,7,5,8,3]
[-3,8,5,7,-6,1,2,4]=>[4,2,1,-6,7,5,8,-3]
[1,6,-8,3,5,-7,2,4]=>[4,2,-7,5,3,-8,6,1]
[6,-3,-8,5,-7,1,2,4]=>[4,2,1,-7,5,-8,-3,6]
[8,3,6,-7,4,5,1,2]=>[2,1,5,4,-7,6,3,8]
[8,4,6,2,5,-7,1,3]=>[3,1,-7,5,2,6,4,8]
[-6,2,-8,3,5,-7,1,4]=>[4,1,-7,5,3,-8,2,-6]
[-6,-2,-8,5,-7,1,3,4]=>[4,3,1,-7,5,-8,-2,-6]
[-6,1,-8,5,-7,2,3,4]=>[4,3,2,-7,5,-8,1,-6]
[1,8,5,7,-6,2,3,4]=>[4,3,2,-6,7,5,8,1]
[1,-8,5,7,-6,2,3,4]=>[4,3,2,-6,7,5,-8,1]
[-6,-7,-8,-5,1,2,3,4]=>[4,3,2,1,-5,-8,-7,-6]
[6,-7,1,-8,-5,2,3,4]=>[4,3,2,-5,-8,1,-7,6]
[6,-7,-2,-8,-5,1,3,4]=>[4,3,1,-5,-8,-2,-7,6]
[-2,8,5,7,-6,1,3,4]=>[4,3,1,-6,7,5,8,-2]
[2,8,3,5,7,-6,1,4]=>[4,1,-6,7,5,3,8,2]
[-4,7,-8,2,5,-6,1,3]=>[3,1,-6,5,2,-8,7,-4]
[8,7,-6,3,4,5,1,2]=>[2,1,5,4,3,-6,7,8]
[-8,7,-6,3,4,5,1,2]=>[2,1,5,4,3,-6,7,-8]
[4,7,-8,2,5,-6,1,3]=>[3,1,-6,5,2,-8,7,4]
[2,-8,3,5,7,-6,1,4]=>[4,1,-6,7,5,3,-8,2]
[2,8,5,7,-6,1,3,4]=>[4,3,1,-6,7,5,8,2]
[2,-7,6,-8,-5,1,3,4]=>[4,3,1,-5,-8,6,-7,2]
[6,-7,-8,-5,1,2,3,4]=>[4,3,2,1,-5,-8,-7,6]
[-7,6,-8,-4,1,2,3,5]=>[5,3,2,1,-4,-8,6,-7]
[-7,2,6,-8,-4,1,3,5]=>[5,3,1,-4,-8,6,2,-7]
[-7,3,6,-8,-4,-2,1,5]=>[5,1,-2,-4,-8,6,3,-7]
[7,2,3,6,-8,-5,1,4]=>[4,1,-5,-8,6,3,2,7]
[6,-7,-4,2,-8,-5,1,3]=>[3,1,-5,-8,2,-4,-7,6]
[7,-8,-5,3,4,6,1,2]=>[2,1,6,4,3,-5,-8,7]
[-7,-8,-5,3,4,6,1,2]=>[2,1,6,4,3,-5,-8,-7]
[-6,-7,-4,2,-8,-5,1,3]=>[3,1,-5,-8,2,-4,-7,-6]
[7,-2,3,6,-8,-5,1,4]=>[4,1,-5,-8,6,3,-2,7]
[-7,2,3,6,-8,-4,1,5]=>[5,1,-4,-8,6,3,2,-7]
[-7,-2,6,-8,-4,1,3,5]=>[5,3,1,-4,-8,6,-2,-7]
[-7,1,6,-8,-4,2,3,5]=>[5,3,2,-4,-8,6,1,-7]
[7,6,-8,-4,1,2,3,5]=>[5,3,2,1,-4,-8,6,7]
[-7,3,6,-8,-4,1,2,5]=>[5,2,1,-4,-8,6,3,-7]
[-7,-3,6,-8,-4,1,2,5]=>[5,2,1,-4,-8,6,-3,-7]
[7,-3,6,-8,-4,1,2,5]=>[5,2,1,-4,-8,6,-3,7]
[-3,7,-8,5,-6,1,2,4]=>[4,2,1,-6,5,-8,7,-3]
[-6,-7,-3,-8,-5,1,2,4]=>[4,2,1,-5,-8,-3,-7,-6]
[7,1,3,6,-8,-5,2,4]=>[4,2,-5,-8,6,3,1,7]
[3,-7,6,-8,-5,1,2,4]=>[4,2,1,-5,-8,6,-7,3]
[7,-8,-4,6,-5,1,2,3]=>[3,2,1,-5,6,-4,-8,7]
[-7,-8,-4,6,-5,1,2,3]=>[3,2,1,-5,6,-4,-8,-7]
[-8,7,-4,6,-5,1,2,3]=>[3,2,1,-5,6,-4,7,-8]
[-7,-5,-8,-4,-6,1,2,3]=>[3,2,1,-6,-4,-8,-5,-7]
[-8,-5,7,1,4,-6,2,3]=>[3,2,-6,4,1,7,-5,-8]
[-8,5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5,-8]
[-8,2,7,-6,4,-5,1,3]=>[3,1,-5,4,-6,7,2,-8]
[-7,-8,-5,6,-4,1,2,3]=>[3,2,1,-4,6,-5,-8,-7]
[7,-8,-5,6,-4,1,2,3]=>[3,2,1,-4,6,-5,-8,7]
[7,-8,5,6,-4,1,2,3]=>[3,2,1,-4,6,5,-8,7]
[7,3,6,-8,-5,1,2,4]=>[4,2,1,-5,-8,6,3,7]
[7,-8,6,-5,-3,1,2,4]=>[4,2,1,-3,-5,6,-8,7]
[3,7,-8,5,-6,1,2,4]=>[4,2,1,-6,5,-8,7,3]
[-3,-8,2,5,7,-6,1,4]=>[4,1,-6,7,5,2,-8,-3]
[-7,-5,-8,2,-6,-4,1,3]=>[3,1,-4,-6,2,-8,-5,-7]
[-7,4,-8,-6,3,5,1,2]=>[2,1,5,3,-6,-8,4,-7]
[7,-8,-5,-4,3,6,1,2]=>[2,1,6,3,-4,-5,-8,7]
[-8,7,2,6,-5,-4,1,3]=>[3,1,-4,-5,6,2,7,-8]
[3,-7,2,6,-8,-5,1,4]=>[4,1,-5,-8,6,2,-7,3]
[7,2,6,-8,-4,-3,1,5]=>[5,1,-3,-4,-8,6,2,7]
[7,6,-8,-4,-3,1,2,5]=>[5,2,1,-3,-4,-8,6,7]
[-7,6,-8,-4,-3,1,2,5]=>[5,2,1,-3,-4,-8,6,-7]
[-7,6,-8,-3,1,2,4,5]=>[5,4,2,1,-3,-8,6,-7]
[7,6,-8,-3,1,2,4,5]=>[5,4,2,1,-3,-8,6,7]
[-7,2,6,-8,-3,1,4,5]=>[5,4,1,-3,-8,6,2,-7]
[-7,2,6,-8,-4,-3,1,5]=>[5,1,-3,-4,-8,6,2,-7]
[6,-7,2,-8,-5,-3,1,4]=>[4,1,-3,-5,-8,2,-7,6]
[-7,-8,2,6,-5,-4,1,3]=>[3,1,-4,-5,6,2,-8,-7]
[7,-8,-4,3,5,6,1,2]=>[2,1,6,5,3,-4,-8,7]
[7,-8,3,4,5,6,1,2]=>[2,1,6,5,4,3,-8,7]
[7,-8,2,6,-5,-4,1,3]=>[3,1,-4,-5,6,2,-8,7]
[7,3,6,-8,-5,-2,1,4]=>[4,1,-2,-5,-8,6,3,7]
[-7,6,-8,-4,-3,-2,1,5]=>[5,1,-2,-3,-4,-8,6,-7]
[-7,6,-8,-3,-2,1,4,5]=>[5,4,1,-2,-3,-8,6,-7]
[-7,6,-8,-2,1,3,4,5]=>[5,4,3,1,-2,-8,6,-7]
[-7,6,-8,1,2,3,4,5]=>[5,4,3,2,1,-8,6,-7]
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
The reversal of a signed permutation.
Properties
bijective, graded, involutive
Sage code
def mapping(tau): return SignedPermutations(len(list(tau)))(list(tau)[::-1])
Weight
11
Created
Sep 11, 2020 at 13:37 by Martin Rubey
Updated
Jul 26, 2022 at 15:34 by Nadia Lafreniere
searching the database
Sorry, this map was not found in the database.