Identifier
Images
=>
[1]=>[1]
[-1]=>[-1]
[1,2]=>[1,2]
[1,-2]=>[1,-2]
[-1,2]=>[-1,2]
[-1,-2]=>[-1,-2]
[2,1]=>[-2,1]
[2,-1]=>[-2,-1]
[-2,1]=>[2,1]
[-2,-1]=>[2,-1]
[1,2,3]=>[1,2,3]
[1,2,-3]=>[1,2,-3]
[1,-2,3]=>[1,-2,3]
[1,-2,-3]=>[1,-2,-3]
[-1,2,3]=>[-1,2,3]
[-1,2,-3]=>[-1,2,-3]
[-1,-2,3]=>[-1,-2,3]
[-1,-2,-3]=>[-1,-2,-3]
[1,3,2]=>[1,-3,2]
[1,3,-2]=>[3,1,-2]
[1,-3,2]=>[-3,1,2]
[1,-3,-2]=>[1,3,-2]
[-1,3,2]=>[-1,-3,2]
[-1,3,-2]=>[3,-1,-2]
[-1,-3,2]=>[-3,-1,2]
[-1,-3,-2]=>[-1,3,-2]
[2,1,3]=>[-2,1,3]
[2,1,-3]=>[-2,1,-3]
[2,-1,3]=>[-2,-1,3]
[2,-1,-3]=>[-2,-1,-3]
[-2,1,3]=>[2,1,3]
[-2,1,-3]=>[2,1,-3]
[-2,-1,3]=>[2,-1,3]
[-2,-1,-3]=>[2,-1,-3]
[2,3,1]=>[3,-2,1]
[2,3,-1]=>[3,-2,-1]
[2,-3,1]=>[3,2,1]
[2,-3,-1]=>[3,2,-1]
[-2,3,1]=>[-3,-2,1]
[-2,3,-1]=>[-3,-2,-1]
[-2,-3,1]=>[-3,2,1]
[-2,-3,-1]=>[-3,2,-1]
[3,1,2]=>[3,1,2]
[3,1,-2]=>[1,-3,-2]
[3,-1,2]=>[3,-1,2]
[3,-1,-2]=>[-1,-3,-2]
[-3,1,2]=>[1,3,2]
[-3,1,-2]=>[-3,1,-2]
[-3,-1,2]=>[-1,3,2]
[-3,-1,-2]=>[-3,-1,-2]
[3,2,1]=>[-2,-3,1]
[3,2,-1]=>[-2,-3,-1]
[3,-2,1]=>[-2,3,1]
[3,-2,-1]=>[-2,3,-1]
[-3,2,1]=>[2,-3,1]
[-3,2,-1]=>[2,-3,-1]
[-3,-2,1]=>[2,3,1]
[-3,-2,-1]=>[2,3,-1]
[1,2,3,4]=>[1,2,3,4]
[1,2,3,-4]=>[1,2,3,-4]
[1,2,-3,4]=>[1,2,-3,4]
[1,2,-3,-4]=>[1,2,-3,-4]
[1,-2,3,4]=>[1,-2,3,4]
[1,-2,3,-4]=>[1,-2,3,-4]
[1,-2,-3,4]=>[1,-2,-3,4]
[1,-2,-3,-4]=>[1,-2,-3,-4]
[-1,2,3,4]=>[-1,2,3,4]
[-1,2,3,-4]=>[-1,2,3,-4]
[-1,2,-3,4]=>[-1,2,-3,4]
[-1,2,-3,-4]=>[-1,2,-3,-4]
[-1,-2,3,4]=>[-1,-2,3,4]
[-1,-2,3,-4]=>[-1,-2,3,-4]
[-1,-2,-3,4]=>[-1,-2,-3,4]
[-1,-2,-3,-4]=>[-1,-2,-3,-4]
[1,2,4,3]=>[1,2,-4,3]
[1,2,4,-3]=>[1,4,2,-3]
[1,2,-4,3]=>[1,-4,2,3]
[1,2,-4,-3]=>[1,2,4,-3]
[1,-2,4,3]=>[1,-2,-4,3]
[1,-2,4,-3]=>[1,4,-2,-3]
[1,-2,-4,3]=>[1,-4,-2,3]
[1,-2,-4,-3]=>[1,-2,4,-3]
[-1,2,4,3]=>[-1,2,-4,3]
[-1,2,4,-3]=>[-1,4,2,-3]
[-1,2,-4,3]=>[-1,-4,2,3]
[-1,2,-4,-3]=>[-1,2,4,-3]
[-1,-2,4,3]=>[-1,-2,-4,3]
[-1,-2,4,-3]=>[-1,4,-2,-3]
[-1,-2,-4,3]=>[-1,-4,-2,3]
[-1,-2,-4,-3]=>[-1,-2,4,-3]
[1,3,2,4]=>[1,-3,2,4]
[1,3,2,-4]=>[1,-3,2,-4]
[1,3,-2,4]=>[3,1,-2,4]
[1,3,-2,-4]=>[3,1,-2,-4]
[1,-3,2,4]=>[-3,1,2,4]
[1,-3,2,-4]=>[-3,1,2,-4]
[1,-3,-2,4]=>[1,3,-2,4]
[1,-3,-2,-4]=>[1,3,-2,-4]
[-1,3,2,4]=>[-1,-3,2,4]
[-1,3,2,-4]=>[-1,-3,2,-4]
[-1,3,-2,4]=>[3,-1,-2,4]
[-1,3,-2,-4]=>[3,-1,-2,-4]
[-1,-3,2,4]=>[-3,-1,2,4]
[-1,-3,2,-4]=>[-3,-1,2,-4]
[-1,-3,-2,4]=>[-1,3,-2,4]
[-1,-3,-2,-4]=>[-1,3,-2,-4]
[1,3,4,2]=>[1,4,-3,2]
[1,3,4,-2]=>[3,4,1,-2]
[1,3,-4,2]=>[-4,1,3,2]
[1,3,-4,-2]=>[1,4,3,-2]
[1,-3,4,2]=>[1,-4,-3,2]
[1,-3,4,-2]=>[4,1,-3,-2]
[1,-3,-4,2]=>[-3,-4,1,2]
[1,-3,-4,-2]=>[1,-4,3,-2]
[-1,3,4,2]=>[-1,4,-3,2]
[-1,3,4,-2]=>[3,4,-1,-2]
[-1,3,-4,2]=>[-4,-1,3,2]
[-1,3,-4,-2]=>[-1,4,3,-2]
[-1,-3,4,2]=>[-1,-4,-3,2]
[-1,-3,4,-2]=>[4,-1,-3,-2]
[-1,-3,-4,2]=>[-3,-4,-1,2]
[-1,-3,-4,-2]=>[-1,-4,3,-2]
[1,4,2,3]=>[-4,1,2,3]
[1,4,2,-3]=>[1,2,-4,-3]
[1,4,-2,3]=>[1,4,-2,3]
[1,4,-2,-3]=>[-4,1,-2,-3]
[1,-4,2,3]=>[4,1,2,3]
[1,-4,2,-3]=>[1,-4,2,-3]
[1,-4,-2,3]=>[1,-2,4,3]
[1,-4,-2,-3]=>[4,1,-2,-3]
[-1,4,2,3]=>[-4,-1,2,3]
[-1,4,2,-3]=>[-1,2,-4,-3]
[-1,4,-2,3]=>[-1,4,-2,3]
[-1,4,-2,-3]=>[-4,-1,-2,-3]
[-1,-4,2,3]=>[4,-1,2,3]
[-1,-4,2,-3]=>[-1,-4,2,-3]
[-1,-4,-2,3]=>[-1,-2,4,3]
[-1,-4,-2,-3]=>[4,-1,-2,-3]
[1,4,3,2]=>[1,-3,-4,2]
[1,4,3,-2]=>[3,1,-4,-2]
[1,4,-3,2]=>[1,-3,4,2]
[1,4,-3,-2]=>[3,1,4,-2]
[1,-4,3,2]=>[-3,1,-4,2]
[1,-4,3,-2]=>[1,3,-4,-2]
[1,-4,-3,2]=>[-3,1,4,2]
[1,-4,-3,-2]=>[1,3,4,-2]
[-1,4,3,2]=>[-1,-3,-4,2]
[-1,4,3,-2]=>[3,-1,-4,-2]
[-1,4,-3,2]=>[-1,-3,4,2]
[-1,4,-3,-2]=>[3,-1,4,-2]
[-1,-4,3,2]=>[-3,-1,-4,2]
[-1,-4,3,-2]=>[-1,3,-4,-2]
[-1,-4,-3,2]=>[-3,-1,4,2]
[-1,-4,-3,-2]=>[-1,3,4,-2]
[2,1,3,4]=>[-2,1,3,4]
[2,1,3,-4]=>[-2,1,3,-4]
[2,1,-3,4]=>[-2,1,-3,4]
[2,1,-3,-4]=>[-2,1,-3,-4]
[2,-1,3,4]=>[-2,-1,3,4]
[2,-1,3,-4]=>[-2,-1,3,-4]
[2,-1,-3,4]=>[-2,-1,-3,4]
[2,-1,-3,-4]=>[-2,-1,-3,-4]
[-2,1,3,4]=>[2,1,3,4]
[-2,1,3,-4]=>[2,1,3,-4]
[-2,1,-3,4]=>[2,1,-3,4]
[-2,1,-3,-4]=>[2,1,-3,-4]
[-2,-1,3,4]=>[2,-1,3,4]
[-2,-1,3,-4]=>[2,-1,3,-4]
[-2,-1,-3,4]=>[2,-1,-3,4]
[-2,-1,-3,-4]=>[2,-1,-3,-4]
[2,1,4,3]=>[-2,1,-4,3]
[2,1,4,-3]=>[-2,4,1,-3]
[2,1,-4,3]=>[-2,-4,1,3]
[2,1,-4,-3]=>[-2,1,4,-3]
[2,-1,4,3]=>[-2,-1,-4,3]
[2,-1,4,-3]=>[-2,4,-1,-3]
[2,-1,-4,3]=>[-2,-4,-1,3]
[2,-1,-4,-3]=>[-2,-1,4,-3]
[-2,1,4,3]=>[2,1,-4,3]
[-2,1,4,-3]=>[2,4,1,-3]
[-2,1,-4,3]=>[2,-4,1,3]
[-2,1,-4,-3]=>[2,1,4,-3]
[-2,-1,4,3]=>[2,-1,-4,3]
[-2,-1,4,-3]=>[2,4,-1,-3]
[-2,-1,-4,3]=>[2,-4,-1,3]
[-2,-1,-4,-3]=>[2,-1,4,-3]
[2,3,1,4]=>[3,-2,1,4]
[2,3,1,-4]=>[3,-2,1,-4]
[2,3,-1,4]=>[3,-2,-1,4]
[2,3,-1,-4]=>[3,-2,-1,-4]
[2,-3,1,4]=>[3,2,1,4]
[2,-3,1,-4]=>[3,2,1,-4]
[2,-3,-1,4]=>[3,2,-1,4]
[2,-3,-1,-4]=>[3,2,-1,-4]
[-2,3,1,4]=>[-3,-2,1,4]
[-2,3,1,-4]=>[-3,-2,1,-4]
[-2,3,-1,4]=>[-3,-2,-1,4]
[-2,3,-1,-4]=>[-3,-2,-1,-4]
[-2,-3,1,4]=>[-3,2,1,4]
[-2,-3,1,-4]=>[-3,2,1,-4]
[-2,-3,-1,4]=>[-3,2,-1,4]
[-2,-3,-1,-4]=>[-3,2,-1,-4]
[2,3,4,1]=>[3,4,-2,1]
[2,3,4,-1]=>[3,4,-2,-1]
[2,3,-4,1]=>[4,2,3,1]
[2,3,-4,-1]=>[4,2,3,-1]
[2,-3,4,1]=>[4,-2,-3,1]
[2,-3,4,-1]=>[4,-2,-3,-1]
[2,-3,-4,1]=>[3,-4,2,1]
[2,-3,-4,-1]=>[3,-4,2,-1]
[-2,3,4,1]=>[-3,4,-2,1]
[-2,3,4,-1]=>[-3,4,-2,-1]
[-2,3,-4,1]=>[-4,2,3,1]
[-2,3,-4,-1]=>[-4,2,3,-1]
[-2,-3,4,1]=>[-4,-2,-3,1]
[-2,-3,4,-1]=>[-4,-2,-3,-1]
[-2,-3,-4,1]=>[-3,-4,2,1]
[-2,-3,-4,-1]=>[-3,-4,2,-1]
[2,4,1,3]=>[-2,4,1,3]
[2,4,1,-3]=>[-4,-2,1,-3]
[2,4,-1,3]=>[-2,4,-1,3]
[2,4,-1,-3]=>[-4,-2,-1,-3]
[2,-4,1,3]=>[2,4,1,3]
[2,-4,1,-3]=>[-4,2,1,-3]
[2,-4,-1,3]=>[2,4,-1,3]
[2,-4,-1,-3]=>[-4,2,-1,-3]
[-2,4,1,3]=>[4,-2,1,3]
[-2,4,1,-3]=>[-2,-4,1,-3]
[-2,4,-1,3]=>[4,-2,-1,3]
[-2,4,-1,-3]=>[-2,-4,-1,-3]
[-2,-4,1,3]=>[4,2,1,3]
[-2,-4,1,-3]=>[2,-4,1,-3]
[-2,-4,-1,3]=>[4,2,-1,3]
[-2,-4,-1,-3]=>[2,-4,-1,-3]
[2,4,3,1]=>[3,-2,-4,1]
[2,4,3,-1]=>[3,-2,-4,-1]
[2,4,-3,1]=>[3,4,2,1]
[2,4,-3,-1]=>[3,4,2,-1]
[2,-4,3,1]=>[-2,3,-4,1]
[2,-4,3,-1]=>[-2,3,-4,-1]
[2,-4,-3,1]=>[3,2,4,1]
[2,-4,-3,-1]=>[3,2,4,-1]
[-2,4,3,1]=>[-3,-2,-4,1]
[-2,4,3,-1]=>[-3,-2,-4,-1]
[-2,4,-3,1]=>[2,-3,4,1]
[-2,4,-3,-1]=>[2,-3,4,-1]
[-2,-4,3,1]=>[-3,-4,-2,1]
[-2,-4,3,-1]=>[-3,-4,-2,-1]
[-2,-4,-3,1]=>[-3,2,4,1]
[-2,-4,-3,-1]=>[-3,2,4,-1]
[3,1,2,4]=>[3,1,2,4]
[3,1,2,-4]=>[3,1,2,-4]
[3,1,-2,4]=>[1,-3,-2,4]
[3,1,-2,-4]=>[1,-3,-2,-4]
[3,-1,2,4]=>[3,-1,2,4]
[3,-1,2,-4]=>[3,-1,2,-4]
[3,-1,-2,4]=>[-1,-3,-2,4]
[3,-1,-2,-4]=>[-1,-3,-2,-4]
[-3,1,2,4]=>[1,3,2,4]
[-3,1,2,-4]=>[1,3,2,-4]
[-3,1,-2,4]=>[-3,1,-2,4]
[-3,1,-2,-4]=>[-3,1,-2,-4]
[-3,-1,2,4]=>[-1,3,2,4]
[-3,-1,2,-4]=>[-1,3,2,-4]
[-3,-1,-2,4]=>[-3,-1,-2,4]
[-3,-1,-2,-4]=>[-3,-1,-2,-4]
[3,1,4,2]=>[-4,1,-3,2]
[3,1,4,-2]=>[1,4,-3,-2]
[3,1,-4,2]=>[3,-4,1,2]
[3,1,-4,-2]=>[-4,1,3,-2]
[3,-1,4,2]=>[-4,-1,-3,2]
[3,-1,4,-2]=>[-1,4,-3,-2]
[3,-1,-4,2]=>[3,-4,-1,2]
[3,-1,-4,-2]=>[-4,-1,3,-2]
[-3,1,4,2]=>[4,1,-3,2]
[-3,1,4,-2]=>[-3,4,1,-2]
[-3,1,-4,2]=>[1,-4,3,2]
[-3,1,-4,-2]=>[4,1,3,-2]
[-3,-1,4,2]=>[4,-1,-3,2]
[-3,-1,4,-2]=>[-3,4,-1,-2]
[-3,-1,-4,2]=>[-1,-4,3,2]
[-3,-1,-4,-2]=>[4,-1,3,-2]
[3,2,1,4]=>[-2,-3,1,4]
[3,2,1,-4]=>[-2,-3,1,-4]
[3,2,-1,4]=>[-2,-3,-1,4]
[3,2,-1,-4]=>[-2,-3,-1,-4]
[3,-2,1,4]=>[-2,3,1,4]
[3,-2,1,-4]=>[-2,3,1,-4]
[3,-2,-1,4]=>[-2,3,-1,4]
[3,-2,-1,-4]=>[-2,3,-1,-4]
[-3,2,1,4]=>[2,-3,1,4]
[-3,2,1,-4]=>[2,-3,1,-4]
[-3,2,-1,4]=>[2,-3,-1,4]
[-3,2,-1,-4]=>[2,-3,-1,-4]
[-3,-2,1,4]=>[2,3,1,4]
[-3,-2,1,-4]=>[2,3,1,-4]
[-3,-2,-1,4]=>[2,3,-1,4]
[-3,-2,-1,-4]=>[2,3,-1,-4]
[3,2,4,1]=>[-2,4,-3,1]
[3,2,4,-1]=>[-2,4,-3,-1]
[3,2,-4,1]=>[-4,3,2,1]
[3,2,-4,-1]=>[-4,3,2,-1]
[3,-2,4,1]=>[-4,-3,-2,1]
[3,-2,4,-1]=>[-4,-3,-2,-1]
[3,-2,-4,1]=>[-2,-4,3,1]
[3,-2,-4,-1]=>[-2,-4,3,-1]
[-3,2,4,1]=>[2,4,-3,1]
[-3,2,4,-1]=>[2,4,-3,-1]
[-3,2,-4,1]=>[4,3,2,1]
[-3,2,-4,-1]=>[4,3,2,-1]
[-3,-2,4,1]=>[4,-3,-2,1]
[-3,-2,4,-1]=>[4,-3,-2,-1]
[-3,-2,-4,1]=>[2,-4,3,1]
[-3,-2,-4,-1]=>[2,-4,3,-1]
[3,4,1,2]=>[3,4,1,2]
[3,4,1,-2]=>[-4,1,-3,-2]
[3,4,-1,2]=>[3,4,-1,2]
[3,4,-1,-2]=>[-4,-1,-3,-2]
[3,-4,1,2]=>[1,4,3,2]
[3,-4,1,-2]=>[3,-4,1,-2]
[3,-4,-1,2]=>[-1,4,3,2]
[3,-4,-1,-2]=>[3,-4,-1,-2]
[-3,4,1,2]=>[-3,4,1,2]
[-3,4,1,-2]=>[1,-4,-3,-2]
[-3,4,-1,2]=>[-3,4,-1,2]
[-3,4,-1,-2]=>[-1,-4,-3,-2]
[-3,-4,1,2]=>[4,1,3,2]
[-3,-4,1,-2]=>[-3,-4,1,-2]
[-3,-4,-1,2]=>[4,-1,3,2]
[-3,-4,-1,-2]=>[-3,-4,-1,-2]
[3,4,2,1]=>[2,-4,-3,1]
[3,4,2,-1]=>[2,-4,-3,-1]
[3,4,-2,1]=>[3,-2,4,1]
[3,4,-2,-1]=>[3,-2,4,-1]
[3,-4,2,1]=>[3,2,-4,1]
[3,-4,2,-1]=>[3,2,-4,-1]
[3,-4,-2,1]=>[2,4,3,1]
[3,-4,-2,-1]=>[2,4,3,-1]
[-3,4,2,1]=>[-2,-4,-3,1]
[-3,4,2,-1]=>[-2,-4,-3,-1]
[-3,4,-2,1]=>[-3,-2,4,1]
[-3,4,-2,-1]=>[-3,-2,4,-1]
[-3,-4,2,1]=>[-3,2,-4,1]
[-3,-4,2,-1]=>[-3,2,-4,-1]
[-3,-4,-2,1]=>[-2,4,3,1]
[-3,-4,-2,-1]=>[-2,4,3,-1]
[4,1,2,3]=>[1,4,2,3]
[4,1,2,-3]=>[-4,1,2,-3]
[4,1,-2,3]=>[-4,1,-2,3]
[4,1,-2,-3]=>[1,-2,-4,-3]
[4,-1,2,3]=>[-1,4,2,3]
[4,-1,2,-3]=>[-4,-1,2,-3]
[4,-1,-2,3]=>[-4,-1,-2,3]
[4,-1,-2,-3]=>[-1,-2,-4,-3]
[-4,1,2,3]=>[1,2,4,3]
[-4,1,2,-3]=>[4,1,2,-3]
[-4,1,-2,3]=>[4,1,-2,3]
[-4,1,-2,-3]=>[1,-4,-2,-3]
[-4,-1,2,3]=>[-1,2,4,3]
[-4,-1,2,-3]=>[4,-1,2,-3]
[-4,-1,-2,3]=>[4,-1,-2,3]
[-4,-1,-2,-3]=>[-1,-4,-2,-3]
[4,1,3,2]=>[3,1,-4,2]
[4,1,3,-2]=>[-4,3,1,-2]
[4,1,-3,2]=>[-4,-3,1,2]
[4,1,-3,-2]=>[1,-3,4,-2]
[4,-1,3,2]=>[3,-1,-4,2]
[4,-1,3,-2]=>[-4,3,-1,-2]
[4,-1,-3,2]=>[-4,-3,-1,2]
[4,-1,-3,-2]=>[-1,-3,4,-2]
[-4,1,3,2]=>[1,3,-4,2]
[-4,1,3,-2]=>[4,3,1,-2]
[-4,1,-3,2]=>[4,-3,1,2]
[-4,1,-3,-2]=>[-3,1,4,-2]
[-4,-1,3,2]=>[-1,3,-4,2]
[-4,-1,3,-2]=>[4,3,-1,-2]
[-4,-1,-3,2]=>[4,-3,-1,2]
[-4,-1,-3,-2]=>[-3,-1,4,-2]
[4,2,1,3]=>[-4,-2,1,3]
[4,2,1,-3]=>[-2,1,-4,-3]
[4,2,-1,3]=>[-4,-2,-1,3]
[4,2,-1,-3]=>[-2,-1,-4,-3]
[4,-2,1,3]=>[-2,1,4,3]
[4,-2,1,-3]=>[4,-2,1,-3]
[4,-2,-1,3]=>[-2,-1,4,3]
[4,-2,-1,-3]=>[4,-2,-1,-3]
[-4,2,1,3]=>[-4,2,1,3]
[-4,2,1,-3]=>[2,1,-4,-3]
[-4,2,-1,3]=>[-4,2,-1,3]
[-4,2,-1,-3]=>[2,-1,-4,-3]
[-4,-2,1,3]=>[2,1,4,3]
[-4,-2,1,-3]=>[4,2,1,-3]
[-4,-2,-1,3]=>[2,-1,4,3]
[-4,-2,-1,-3]=>[4,2,-1,-3]
[4,2,3,1]=>[2,3,-4,1]
[4,2,3,-1]=>[2,3,-4,-1]
[4,2,-3,1]=>[4,-3,2,1]
[4,2,-3,-1]=>[4,-3,2,-1]
[4,-2,3,1]=>[3,-4,-2,1]
[4,-2,3,-1]=>[3,-4,-2,-1]
[4,-2,-3,1]=>[-4,-3,2,1]
[4,-2,-3,-1]=>[-4,-3,2,-1]
[-4,2,3,1]=>[4,3,-2,1]
[-4,2,3,-1]=>[4,3,-2,-1]
[-4,2,-3,1]=>[-3,4,2,1]
[-4,2,-3,-1]=>[-3,4,2,-1]
[-4,-2,3,1]=>[-4,3,-2,1]
[-4,-2,3,-1]=>[-4,3,-2,-1]
[-4,-2,-3,1]=>[-2,-3,4,1]
[-4,-2,-3,-1]=>[-2,-3,4,-1]
[4,3,1,2]=>[-4,3,1,2]
[4,3,1,-2]=>[1,-3,-4,-2]
[4,3,-1,2]=>[-4,3,-1,2]
[4,3,-1,-2]=>[-1,-3,-4,-2]
[4,-3,1,2]=>[3,1,4,2]
[4,-3,1,-2]=>[-4,-3,1,-2]
[4,-3,-1,2]=>[3,-1,4,2]
[4,-3,-1,-2]=>[-4,-3,-1,-2]
[-4,3,1,2]=>[4,3,1,2]
[-4,3,1,-2]=>[-3,1,-4,-2]
[-4,3,-1,2]=>[4,3,-1,2]
[-4,3,-1,-2]=>[-3,-1,-4,-2]
[-4,-3,1,2]=>[1,3,4,2]
[-4,-3,1,-2]=>[4,-3,1,-2]
[-4,-3,-1,2]=>[-1,3,4,2]
[-4,-3,-1,-2]=>[4,-3,-1,-2]
[4,3,2,1]=>[-2,-3,-4,1]
[4,3,2,-1]=>[-2,-3,-4,-1]
[4,3,-2,1]=>[-4,-2,3,1]
[4,3,-2,-1]=>[-4,-2,3,-1]
[4,-3,2,1]=>[-4,2,-3,1]
[4,-3,2,-1]=>[-4,2,-3,-1]
[4,-3,-2,1]=>[-2,3,4,1]
[4,-3,-2,-1]=>[-2,3,4,-1]
[-4,3,2,1]=>[2,-3,-4,1]
[-4,3,2,-1]=>[2,-3,-4,-1]
[-4,3,-2,1]=>[4,-2,3,1]
[-4,3,-2,-1]=>[4,-2,3,-1]
[-4,-3,2,1]=>[4,2,-3,1]
[-4,-3,2,-1]=>[4,2,-3,-1]
[-4,-3,-2,1]=>[2,3,4,1]
[-4,-3,-2,-1]=>[2,3,4,-1]
[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,4,-5]=>[1,2,3,4,-5]
[1,2,3,-4,5]=>[1,2,3,-4,5]
[1,2,3,-4,-5]=>[1,2,3,-4,-5]
[1,2,-3,4,5]=>[1,2,-3,4,5]
[1,2,-3,4,-5]=>[1,2,-3,4,-5]
[1,2,-3,-4,5]=>[1,2,-3,-4,5]
[1,2,-3,-4,-5]=>[1,2,-3,-4,-5]
[1,-2,3,4,5]=>[1,-2,3,4,5]
[1,-2,3,4,-5]=>[1,-2,3,4,-5]
[1,-2,3,-4,5]=>[1,-2,3,-4,5]
[1,-2,3,-4,-5]=>[1,-2,3,-4,-5]
[1,-2,-3,4,5]=>[1,-2,-3,4,5]
[1,-2,-3,4,-5]=>[1,-2,-3,4,-5]
[1,-2,-3,-4,5]=>[1,-2,-3,-4,5]
[1,-2,-3,-4,-5]=>[1,-2,-3,-4,-5]
[-1,2,3,4,5]=>[-1,2,3,4,5]
[-1,2,3,4,-5]=>[-1,2,3,4,-5]
[-1,2,3,-4,5]=>[-1,2,3,-4,5]
[-1,2,3,-4,-5]=>[-1,2,3,-4,-5]
[-1,2,-3,4,5]=>[-1,2,-3,4,5]
[-1,2,-3,4,-5]=>[-1,2,-3,4,-5]
[-1,2,-3,-4,5]=>[-1,2,-3,-4,5]
[-1,2,-3,-4,-5]=>[-1,2,-3,-4,-5]
[-1,-2,3,4,5]=>[-1,-2,3,4,5]
[-1,-2,3,4,-5]=>[-1,-2,3,4,-5]
[-1,-2,3,-4,5]=>[-1,-2,3,-4,5]
[-1,-2,3,-4,-5]=>[-1,-2,3,-4,-5]
[-1,-2,-3,4,5]=>[-1,-2,-3,4,5]
[-1,-2,-3,4,-5]=>[-1,-2,-3,4,-5]
[-1,-2,-3,-4,5]=>[-1,-2,-3,-4,5]
[-1,-2,-3,-4,-5]=>[-1,-2,-3,-4,-5]
[1,2,3,5,4]=>[1,2,3,-5,4]
[1,2,3,5,-4]=>[1,2,5,3,-4]
[1,2,3,-5,4]=>[1,2,-5,3,4]
[1,2,3,-5,-4]=>[1,2,3,5,-4]
[1,2,-3,5,4]=>[1,2,-3,-5,4]
[1,2,-3,5,-4]=>[1,2,5,-3,-4]
[1,2,-3,-5,4]=>[1,2,-5,-3,4]
[1,2,-3,-5,-4]=>[1,2,-3,5,-4]
[1,-2,3,5,4]=>[1,-2,3,-5,4]
[1,-2,3,5,-4]=>[1,-2,5,3,-4]
[1,-2,3,-5,4]=>[1,-2,-5,3,4]
[1,-2,3,-5,-4]=>[1,-2,3,5,-4]
[1,-2,-3,5,4]=>[1,-2,-3,-5,4]
[1,-2,-3,5,-4]=>[1,-2,5,-3,-4]
[1,-2,-3,-5,4]=>[1,-2,-5,-3,4]
[1,-2,-3,-5,-4]=>[1,-2,-3,5,-4]
[-1,2,3,5,4]=>[-1,2,3,-5,4]
[-1,2,3,5,-4]=>[-1,2,5,3,-4]
[-1,2,3,-5,4]=>[-1,2,-5,3,4]
[-1,2,3,-5,-4]=>[-1,2,3,5,-4]
[-1,2,-3,5,4]=>[-1,2,-3,-5,4]
[-1,2,-3,5,-4]=>[-1,2,5,-3,-4]
[-1,2,-3,-5,4]=>[-1,2,-5,-3,4]
[-1,2,-3,-5,-4]=>[-1,2,-3,5,-4]
[-1,-2,3,5,4]=>[-1,-2,3,-5,4]
[-1,-2,3,5,-4]=>[-1,-2,5,3,-4]
[-1,-2,3,-5,4]=>[-1,-2,-5,3,4]
[-1,-2,3,-5,-4]=>[-1,-2,3,5,-4]
[-1,-2,-3,5,4]=>[-1,-2,-3,-5,4]
[-1,-2,-3,5,-4]=>[-1,-2,5,-3,-4]
[-1,-2,-3,-5,4]=>[-1,-2,-5,-3,4]
[-1,-2,-3,-5,-4]=>[-1,-2,-3,5,-4]
[1,2,4,3,5]=>[1,2,-4,3,5]
[1,2,4,3,-5]=>[1,2,-4,3,-5]
[1,2,4,-3,5]=>[1,4,2,-3,5]
[1,2,4,-3,-5]=>[1,4,2,-3,-5]
[1,2,-4,3,5]=>[1,-4,2,3,5]
[1,2,-4,3,-5]=>[1,-4,2,3,-5]
[1,2,-4,-3,5]=>[1,2,4,-3,5]
[1,2,-4,-3,-5]=>[1,2,4,-3,-5]
[1,-2,4,3,5]=>[1,-2,-4,3,5]
[1,-2,4,3,-5]=>[1,-2,-4,3,-5]
[1,-2,4,-3,5]=>[1,4,-2,-3,5]
[1,-2,4,-3,-5]=>[1,4,-2,-3,-5]
[1,-2,-4,3,5]=>[1,-4,-2,3,5]
[1,-2,-4,3,-5]=>[1,-4,-2,3,-5]
[1,-2,-4,-3,5]=>[1,-2,4,-3,5]
[1,-2,-4,-3,-5]=>[1,-2,4,-3,-5]
[-1,2,4,3,5]=>[-1,2,-4,3,5]
[-1,2,4,3,-5]=>[-1,2,-4,3,-5]
[-1,2,4,-3,5]=>[-1,4,2,-3,5]
[-1,2,4,-3,-5]=>[-1,4,2,-3,-5]
[-1,2,-4,3,5]=>[-1,-4,2,3,5]
[-1,2,-4,3,-5]=>[-1,-4,2,3,-5]
[-1,2,-4,-3,5]=>[-1,2,4,-3,5]
[-1,2,-4,-3,-5]=>[-1,2,4,-3,-5]
[-1,-2,4,3,5]=>[-1,-2,-4,3,5]
[-1,-2,4,3,-5]=>[-1,-2,-4,3,-5]
[-1,-2,4,-3,5]=>[-1,4,-2,-3,5]
[-1,-2,4,-3,-5]=>[-1,4,-2,-3,-5]
[-1,-2,-4,3,5]=>[-1,-4,-2,3,5]
[-1,-2,-4,3,-5]=>[-1,-4,-2,3,-5]
[-1,-2,-4,-3,5]=>[-1,-2,4,-3,5]
[-1,-2,-4,-3,-5]=>[-1,-2,4,-3,-5]
[1,2,4,5,3]=>[1,2,5,-4,3]
[1,2,4,5,-3]=>[1,4,5,2,-3]
[1,2,4,-5,3]=>[1,-5,2,4,3]
[1,2,4,-5,-3]=>[1,2,5,4,-3]
[1,2,-4,5,3]=>[1,2,-5,-4,3]
[1,2,-4,5,-3]=>[1,5,2,-4,-3]
[1,2,-4,-5,3]=>[1,-4,-5,2,3]
[1,2,-4,-5,-3]=>[1,2,-5,4,-3]
[1,-2,4,5,3]=>[1,-2,5,-4,3]
[1,-2,4,5,-3]=>[1,4,5,-2,-3]
[1,-2,4,-5,3]=>[1,-5,-2,4,3]
[1,-2,4,-5,-3]=>[1,-2,5,4,-3]
[1,-2,-4,5,3]=>[1,-2,-5,-4,3]
[1,-2,-4,5,-3]=>[1,5,-2,-4,-3]
[1,-2,-4,-5,3]=>[1,-4,-5,-2,3]
[1,-2,-4,-5,-3]=>[1,-2,-5,4,-3]
[-1,2,4,5,3]=>[-1,2,5,-4,3]
[-1,2,4,5,-3]=>[-1,4,5,2,-3]
[-1,2,4,-5,3]=>[-1,-5,2,4,3]
[-1,2,4,-5,-3]=>[-1,2,5,4,-3]
[-1,2,-4,5,3]=>[-1,2,-5,-4,3]
[-1,2,-4,5,-3]=>[-1,5,2,-4,-3]
[-1,2,-4,-5,3]=>[-1,-4,-5,2,3]
[-1,2,-4,-5,-3]=>[-1,2,-5,4,-3]
[-1,-2,4,5,3]=>[-1,-2,5,-4,3]
[-1,-2,4,5,-3]=>[-1,4,5,-2,-3]
[-1,-2,4,-5,3]=>[-1,-5,-2,4,3]
[-1,-2,4,-5,-3]=>[-1,-2,5,4,-3]
[-1,-2,-4,5,3]=>[-1,-2,-5,-4,3]
[-1,-2,-4,5,-3]=>[-1,5,-2,-4,-3]
[-1,-2,-4,-5,3]=>[-1,-4,-5,-2,3]
[-1,-2,-4,-5,-3]=>[-1,-2,-5,4,-3]
[1,2,5,3,4]=>[1,-5,2,3,4]
[1,2,5,3,-4]=>[1,2,3,-5,-4]
[1,2,5,-3,4]=>[1,2,5,-3,4]
[1,2,5,-3,-4]=>[5,1,2,-3,-4]
[1,2,-5,3,4]=>[-5,1,2,3,4]
[1,2,-5,3,-4]=>[1,2,-5,3,-4]
[1,2,-5,-3,4]=>[1,2,-3,5,4]
[1,2,-5,-3,-4]=>[1,5,2,-3,-4]
[1,-2,5,3,4]=>[1,-5,-2,3,4]
[1,-2,5,3,-4]=>[1,-2,3,-5,-4]
[1,-2,5,-3,4]=>[1,-2,5,-3,4]
[1,-2,5,-3,-4]=>[5,1,-2,-3,-4]
[1,-2,-5,3,4]=>[-5,1,-2,3,4]
[1,-2,-5,3,-4]=>[1,-2,-5,3,-4]
[1,-2,-5,-3,4]=>[1,-2,-3,5,4]
[1,-2,-5,-3,-4]=>[1,5,-2,-3,-4]
[-1,2,5,3,4]=>[-1,-5,2,3,4]
[-1,2,5,3,-4]=>[-1,2,3,-5,-4]
[-1,2,5,-3,4]=>[-1,2,5,-3,4]
[-1,2,5,-3,-4]=>[5,-1,2,-3,-4]
[-1,2,-5,3,4]=>[-5,-1,2,3,4]
[-1,2,-5,3,-4]=>[-1,2,-5,3,-4]
[-1,2,-5,-3,4]=>[-1,2,-3,5,4]
[-1,2,-5,-3,-4]=>[-1,5,2,-3,-4]
[-1,-2,5,3,4]=>[-1,-5,-2,3,4]
[-1,-2,5,3,-4]=>[-1,-2,3,-5,-4]
[-1,-2,5,-3,4]=>[-1,-2,5,-3,4]
[-1,-2,5,-3,-4]=>[5,-1,-2,-3,-4]
[-1,-2,-5,3,4]=>[-5,-1,-2,3,4]
[-1,-2,-5,3,-4]=>[-1,-2,-5,3,-4]
[-1,-2,-5,-3,4]=>[-1,-2,-3,5,4]
[-1,-2,-5,-3,-4]=>[-1,5,-2,-3,-4]
[1,2,5,4,3]=>[1,2,-4,-5,3]
[1,2,5,4,-3]=>[1,4,2,-5,-3]
[1,2,5,-4,3]=>[1,2,-4,5,3]
[1,2,5,-4,-3]=>[1,4,2,5,-3]
[1,2,-5,4,3]=>[1,-4,2,-5,3]
[1,2,-5,4,-3]=>[1,2,4,-5,-3]
[1,2,-5,-4,3]=>[1,-4,2,5,3]
[1,2,-5,-4,-3]=>[1,2,4,5,-3]
[1,-2,5,4,3]=>[1,-2,-4,-5,3]
[1,-2,5,4,-3]=>[1,4,-2,-5,-3]
[1,-2,5,-4,3]=>[1,-2,-4,5,3]
[1,-2,5,-4,-3]=>[1,4,-2,5,-3]
[1,-2,-5,4,3]=>[1,-4,-2,-5,3]
[1,-2,-5,4,-3]=>[1,-2,4,-5,-3]
[1,-2,-5,-4,3]=>[1,-4,-2,5,3]
[1,-2,-5,-4,-3]=>[1,-2,4,5,-3]
[-1,2,5,4,3]=>[-1,2,-4,-5,3]
[-1,2,5,4,-3]=>[-1,4,2,-5,-3]
[-1,2,5,-4,3]=>[-1,2,-4,5,3]
[-1,2,5,-4,-3]=>[-1,4,2,5,-3]
[-1,2,-5,4,3]=>[-1,-4,2,-5,3]
[-1,2,-5,4,-3]=>[-1,2,4,-5,-3]
[-1,2,-5,-4,3]=>[-1,-4,2,5,3]
[-1,2,-5,-4,-3]=>[-1,2,4,5,-3]
[-1,-2,5,4,3]=>[-1,-2,-4,-5,3]
[-1,-2,5,4,-3]=>[-1,4,-2,-5,-3]
[-1,-2,5,-4,3]=>[-1,-2,-4,5,3]
[-1,-2,5,-4,-3]=>[-1,4,-2,5,-3]
[-1,-2,-5,4,3]=>[-1,-4,-2,-5,3]
[-1,-2,-5,4,-3]=>[-1,-2,4,-5,-3]
[-1,-2,-5,-4,3]=>[-1,-4,-2,5,3]
[-1,-2,-5,-4,-3]=>[-1,-2,4,5,-3]
[1,3,2,4,5]=>[1,-3,2,4,5]
[1,3,2,4,-5]=>[1,-3,2,4,-5]
[1,3,2,-4,5]=>[1,-3,2,-4,5]
[1,3,2,-4,-5]=>[1,-3,2,-4,-5]
[1,3,-2,4,5]=>[3,1,-2,4,5]
[1,3,-2,4,-5]=>[3,1,-2,4,-5]
[1,3,-2,-4,5]=>[3,1,-2,-4,5]
[1,3,-2,-4,-5]=>[3,1,-2,-4,-5]
[1,-3,2,4,5]=>[-3,1,2,4,5]
[1,-3,2,4,-5]=>[-3,1,2,4,-5]
[1,-3,2,-4,5]=>[-3,1,2,-4,5]
[1,-3,2,-4,-5]=>[-3,1,2,-4,-5]
[1,-3,-2,4,5]=>[1,3,-2,4,5]
[1,-3,-2,4,-5]=>[1,3,-2,4,-5]
[1,-3,-2,-4,5]=>[1,3,-2,-4,5]
[1,-3,-2,-4,-5]=>[1,3,-2,-4,-5]
[-1,3,2,4,5]=>[-1,-3,2,4,5]
[-1,3,2,4,-5]=>[-1,-3,2,4,-5]
[-1,3,2,-4,5]=>[-1,-3,2,-4,5]
[-1,3,2,-4,-5]=>[-1,-3,2,-4,-5]
[-1,3,-2,4,5]=>[3,-1,-2,4,5]
[-1,3,-2,4,-5]=>[3,-1,-2,4,-5]
[-1,3,-2,-4,5]=>[3,-1,-2,-4,5]
[-1,3,-2,-4,-5]=>[3,-1,-2,-4,-5]
[-1,-3,2,4,5]=>[-3,-1,2,4,5]
[-1,-3,2,4,-5]=>[-3,-1,2,4,-5]
[-1,-3,2,-4,5]=>[-3,-1,2,-4,5]
[-1,-3,2,-4,-5]=>[-3,-1,2,-4,-5]
[-1,-3,-2,4,5]=>[-1,3,-2,4,5]
[-1,-3,-2,4,-5]=>[-1,3,-2,4,-5]
[-1,-3,-2,-4,5]=>[-1,3,-2,-4,5]
[-1,-3,-2,-4,-5]=>[-1,3,-2,-4,-5]
[1,3,2,5,4]=>[1,-3,2,-5,4]
[1,3,2,5,-4]=>[1,-3,5,2,-4]
[1,3,2,-5,4]=>[1,-3,-5,2,4]
[1,3,2,-5,-4]=>[1,-3,2,5,-4]
[1,3,-2,5,4]=>[3,1,-2,-5,4]
[1,3,-2,5,-4]=>[3,1,5,-2,-4]
[1,3,-2,-5,4]=>[3,1,-5,-2,4]
[1,3,-2,-5,-4]=>[3,1,-2,5,-4]
[1,-3,2,5,4]=>[-3,1,2,-5,4]
[1,-3,2,5,-4]=>[-3,1,5,2,-4]
[1,-3,2,-5,4]=>[-3,1,-5,2,4]
[1,-3,2,-5,-4]=>[-3,1,2,5,-4]
[1,-3,-2,5,4]=>[1,3,-2,-5,4]
[1,-3,-2,5,-4]=>[1,3,5,-2,-4]
[1,-3,-2,-5,4]=>[1,3,-5,-2,4]
[1,-3,-2,-5,-4]=>[1,3,-2,5,-4]
[-1,3,2,5,4]=>[-1,-3,2,-5,4]
[-1,3,2,5,-4]=>[-1,-3,5,2,-4]
[-1,3,2,-5,4]=>[-1,-3,-5,2,4]
[-1,3,2,-5,-4]=>[-1,-3,2,5,-4]
[-1,3,-2,5,4]=>[3,-1,-2,-5,4]
[-1,3,-2,5,-4]=>[3,-1,5,-2,-4]
[-1,3,-2,-5,4]=>[3,-1,-5,-2,4]
[-1,3,-2,-5,-4]=>[3,-1,-2,5,-4]
[-1,-3,2,5,4]=>[-3,-1,2,-5,4]
[-1,-3,2,5,-4]=>[-3,-1,5,2,-4]
[-1,-3,2,-5,4]=>[-3,-1,-5,2,4]
[-1,-3,2,-5,-4]=>[-3,-1,2,5,-4]
[-1,-3,-2,5,4]=>[-1,3,-2,-5,4]
[-1,-3,-2,5,-4]=>[-1,3,5,-2,-4]
[-1,-3,-2,-5,4]=>[-1,3,-5,-2,4]
[-1,-3,-2,-5,-4]=>[-1,3,-2,5,-4]
[1,3,4,2,5]=>[1,4,-3,2,5]
[1,3,4,2,-5]=>[1,4,-3,2,-5]
[1,3,4,-2,5]=>[3,4,1,-2,5]
[1,3,4,-2,-5]=>[3,4,1,-2,-5]
[1,3,-4,2,5]=>[-4,1,3,2,5]
[1,3,-4,2,-5]=>[-4,1,3,2,-5]
[1,3,-4,-2,5]=>[1,4,3,-2,5]
[1,3,-4,-2,-5]=>[1,4,3,-2,-5]
[1,-3,4,2,5]=>[1,-4,-3,2,5]
[1,-3,4,2,-5]=>[1,-4,-3,2,-5]
[1,-3,4,-2,5]=>[4,1,-3,-2,5]
[1,-3,4,-2,-5]=>[4,1,-3,-2,-5]
[1,-3,-4,2,5]=>[-3,-4,1,2,5]
[1,-3,-4,2,-5]=>[-3,-4,1,2,-5]
[1,-3,-4,-2,5]=>[1,-4,3,-2,5]
[1,-3,-4,-2,-5]=>[1,-4,3,-2,-5]
[-1,3,4,2,5]=>[-1,4,-3,2,5]
[-1,3,4,2,-5]=>[-1,4,-3,2,-5]
[-1,3,4,-2,5]=>[3,4,-1,-2,5]
[-1,3,4,-2,-5]=>[3,4,-1,-2,-5]
[-1,3,-4,2,5]=>[-4,-1,3,2,5]
[-1,3,-4,2,-5]=>[-4,-1,3,2,-5]
[-1,3,-4,-2,5]=>[-1,4,3,-2,5]
[-1,3,-4,-2,-5]=>[-1,4,3,-2,-5]
[-1,-3,4,2,5]=>[-1,-4,-3,2,5]
[-1,-3,4,2,-5]=>[-1,-4,-3,2,-5]
[-1,-3,4,-2,5]=>[4,-1,-3,-2,5]
[-1,-3,4,-2,-5]=>[4,-1,-3,-2,-5]
[-1,-3,-4,2,5]=>[-3,-4,-1,2,5]
[-1,-3,-4,2,-5]=>[-3,-4,-1,2,-5]
[-1,-3,-4,-2,5]=>[-1,-4,3,-2,5]
[-1,-3,-4,-2,-5]=>[-1,-4,3,-2,-5]
[1,3,4,5,2]=>[1,4,5,-3,2]
[1,3,4,5,-2]=>[3,4,5,1,-2]
[1,3,4,-5,2]=>[-5,1,3,4,2]
[1,3,4,-5,-2]=>[1,5,3,4,-2]
[1,3,-4,5,2]=>[1,5,-3,-4,2]
[1,3,-4,5,-2]=>[3,5,1,-4,-2]
[1,3,-4,-5,2]=>[-4,1,-5,3,2]
[1,3,-4,-5,-2]=>[1,4,-5,3,-2]
[1,-3,4,5,2]=>[1,-4,5,-3,2]
[1,-3,4,5,-2]=>[4,1,5,-3,-2]
[1,-3,4,-5,2]=>[-3,-5,1,4,2]
[1,-3,4,-5,-2]=>[1,-5,3,4,-2]
[1,-3,-4,5,2]=>[1,-5,-3,-4,2]
[1,-3,-4,5,-2]=>[5,1,-3,-4,-2]
[1,-3,-4,-5,2]=>[-3,-4,-5,1,2]
[1,-3,-4,-5,-2]=>[1,-4,-5,3,-2]
[-1,3,4,5,2]=>[-1,4,5,-3,2]
[-1,3,4,5,-2]=>[3,4,5,-1,-2]
[-1,3,4,-5,2]=>[-5,-1,3,4,2]
[-1,3,4,-5,-2]=>[-1,5,3,4,-2]
[-1,3,-4,5,2]=>[-1,5,-3,-4,2]
[-1,3,-4,5,-2]=>[3,5,-1,-4,-2]
[-1,3,-4,-5,2]=>[-4,-1,-5,3,2]
[-1,3,-4,-5,-2]=>[-1,4,-5,3,-2]
[-1,-3,4,5,2]=>[-1,-4,5,-3,2]
[-1,-3,4,5,-2]=>[4,-1,5,-3,-2]
[-1,-3,4,-5,2]=>[-3,-5,-1,4,2]
[-1,-3,4,-5,-2]=>[-1,-5,3,4,-2]
[-1,-3,-4,5,2]=>[-1,-5,-3,-4,2]
[-1,-3,-4,5,-2]=>[5,-1,-3,-4,-2]
[-1,-3,-4,-5,2]=>[-3,-4,-5,-1,2]
[-1,-3,-4,-5,-2]=>[-1,-4,-5,3,-2]
[1,3,5,2,4]=>[1,-3,5,2,4]
[1,3,5,2,-4]=>[5,1,-3,2,-4]
[1,3,5,-2,4]=>[3,1,5,-2,4]
[1,3,5,-2,-4]=>[5,3,1,-2,-4]
[1,3,-5,2,4]=>[5,1,3,2,4]
[1,3,-5,2,-4]=>[1,-5,3,2,-4]
[1,3,-5,-2,4]=>[1,3,5,-2,4]
[1,3,-5,-2,-4]=>[5,1,3,-2,-4]
[1,-3,5,2,4]=>[-5,1,-3,2,4]
[1,-3,5,2,-4]=>[1,-3,-5,2,-4]
[1,-3,5,-2,4]=>[1,5,-3,-2,4]
[1,-3,5,-2,-4]=>[-5,1,-3,-2,-4]
[1,-3,-5,2,4]=>[-5,-3,1,2,4]
[1,-3,-5,2,-4]=>[-3,1,-5,2,-4]
[1,-3,-5,-2,4]=>[-5,1,3,-2,4]
[1,-3,-5,-2,-4]=>[1,3,-5,-2,-4]
[-1,3,5,2,4]=>[-1,-3,5,2,4]
[-1,3,5,2,-4]=>[5,-1,-3,2,-4]
[-1,3,5,-2,4]=>[3,-1,5,-2,4]
[-1,3,5,-2,-4]=>[5,3,-1,-2,-4]
[-1,3,-5,2,4]=>[5,-1,3,2,4]
[-1,3,-5,2,-4]=>[-1,-5,3,2,-4]
[-1,3,-5,-2,4]=>[-1,3,5,-2,4]
[-1,3,-5,-2,-4]=>[5,-1,3,-2,-4]
[-1,-3,5,2,4]=>[-5,-1,-3,2,4]
[-1,-3,5,2,-4]=>[-1,-3,-5,2,-4]
[-1,-3,5,-2,4]=>[-1,5,-3,-2,4]
[-1,-3,5,-2,-4]=>[-5,-1,-3,-2,-4]
[-1,-3,-5,2,4]=>[-5,-3,-1,2,4]
[-1,-3,-5,2,-4]=>[-3,-1,-5,2,-4]
[-1,-3,-5,-2,4]=>[-5,-1,3,-2,4]
[-1,-3,-5,-2,-4]=>[-1,3,-5,-2,-4]
[1,3,5,4,2]=>[1,4,-3,-5,2]
[1,3,5,4,-2]=>[3,4,1,-5,-2]
[1,3,5,-4,2]=>[-4,1,5,3,2]
[1,3,5,-4,-2]=>[1,4,5,3,-2]
[1,3,-5,4,2]=>[1,-3,4,-5,2]
[1,3,-5,4,-2]=>[3,1,4,-5,-2]
[1,3,-5,-4,2]=>[-4,1,3,5,2]
[1,3,-5,-4,-2]=>[1,4,3,5,-2]
[1,-3,5,4,2]=>[1,-4,-3,-5,2]
[1,-3,5,4,-2]=>[4,1,-3,-5,-2]
[1,-3,5,-4,2]=>[-3,1,-4,5,2]
[1,-3,5,-4,-2]=>[1,3,-4,5,-2]
[1,-3,-5,4,2]=>[1,-4,-5,-3,2]
[1,-3,-5,4,-2]=>[4,1,-5,-3,-2]
[1,-3,-5,-4,2]=>[-3,-4,1,5,2]
[1,-3,-5,-4,-2]=>[1,-4,3,5,-2]
[-1,3,5,4,2]=>[-1,4,-3,-5,2]
[-1,3,5,4,-2]=>[3,4,-1,-5,-2]
[-1,3,5,-4,2]=>[-4,-1,5,3,2]
[-1,3,5,-4,-2]=>[-1,4,5,3,-2]
[-1,3,-5,4,2]=>[-1,-3,4,-5,2]
[-1,3,-5,4,-2]=>[3,-1,4,-5,-2]
[-1,3,-5,-4,2]=>[-4,-1,3,5,2]
[-1,3,-5,-4,-2]=>[-1,4,3,5,-2]
[-1,-3,5,4,2]=>[-1,-4,-3,-5,2]
[-1,-3,5,4,-2]=>[4,-1,-3,-5,-2]
[-1,-3,5,-4,2]=>[-3,-1,-4,5,2]
[-1,-3,5,-4,-2]=>[-1,3,-4,5,-2]
[-1,-3,-5,4,2]=>[-1,-4,-5,-3,2]
[-1,-3,-5,4,-2]=>[4,-1,-5,-3,-2]
[-1,-3,-5,-4,2]=>[-3,-4,-1,5,2]
[-1,-3,-5,-4,-2]=>[-1,-4,3,5,-2]
[1,4,2,3,5]=>[-4,1,2,3,5]
[1,4,2,3,-5]=>[-4,1,2,3,-5]
[1,4,2,-3,5]=>[1,2,-4,-3,5]
[1,4,2,-3,-5]=>[1,2,-4,-3,-5]
[1,4,-2,3,5]=>[1,4,-2,3,5]
[1,4,-2,3,-5]=>[1,4,-2,3,-5]
[1,4,-2,-3,5]=>[-4,1,-2,-3,5]
[1,4,-2,-3,-5]=>[-4,1,-2,-3,-5]
[1,-4,2,3,5]=>[4,1,2,3,5]
[1,-4,2,3,-5]=>[4,1,2,3,-5]
[1,-4,2,-3,5]=>[1,-4,2,-3,5]
[1,-4,2,-3,-5]=>[1,-4,2,-3,-5]
[1,-4,-2,3,5]=>[1,-2,4,3,5]
[1,-4,-2,3,-5]=>[1,-2,4,3,-5]
[1,-4,-2,-3,5]=>[4,1,-2,-3,5]
[1,-4,-2,-3,-5]=>[4,1,-2,-3,-5]
[-1,4,2,3,5]=>[-4,-1,2,3,5]
[-1,4,2,3,-5]=>[-4,-1,2,3,-5]
[-1,4,2,-3,5]=>[-1,2,-4,-3,5]
[-1,4,2,-3,-5]=>[-1,2,-4,-3,-5]
[-1,4,-2,3,5]=>[-1,4,-2,3,5]
[-1,4,-2,3,-5]=>[-1,4,-2,3,-5]
[-1,4,-2,-3,5]=>[-4,-1,-2,-3,5]
[-1,4,-2,-3,-5]=>[-4,-1,-2,-3,-5]
[-1,-4,2,3,5]=>[4,-1,2,3,5]
[-1,-4,2,3,-5]=>[4,-1,2,3,-5]
[-1,-4,2,-3,5]=>[-1,-4,2,-3,5]
[-1,-4,2,-3,-5]=>[-1,-4,2,-3,-5]
[-1,-4,-2,3,5]=>[-1,-2,4,3,5]
[-1,-4,-2,3,-5]=>[-1,-2,4,3,-5]
[-1,-4,-2,-3,5]=>[4,-1,-2,-3,5]
[-1,-4,-2,-3,-5]=>[4,-1,-2,-3,-5]
[1,4,2,5,3]=>[1,-5,2,-4,3]
[1,4,2,5,-3]=>[1,2,5,-4,-3]
[1,4,2,-5,3]=>[-4,1,-5,2,3]
[1,4,2,-5,-3]=>[1,-5,2,4,-3]
[1,4,-2,5,3]=>[5,1,-2,-4,3]
[1,4,-2,5,-3]=>[-4,1,5,-2,-3]
[1,4,-2,-5,3]=>[1,4,-5,-2,3]
[1,4,-2,-5,-3]=>[5,1,-2,4,-3]
[1,-4,2,5,3]=>[-5,1,2,-4,3]
[1,-4,2,5,-3]=>[1,-4,5,2,-3]
[1,-4,2,-5,3]=>[4,1,-5,2,3]
[1,-4,2,-5,-3]=>[-5,1,2,4,-3]
[1,-4,-2,5,3]=>[1,5,-2,-4,3]
[1,-4,-2,5,-3]=>[4,1,5,-2,-3]
[1,-4,-2,-5,3]=>[1,-2,-5,4,3]
[1,-4,-2,-5,-3]=>[1,5,-2,4,-3]
[-1,4,2,5,3]=>[-1,-5,2,-4,3]
[-1,4,2,5,-3]=>[-1,2,5,-4,-3]
[-1,4,2,-5,3]=>[-4,-1,-5,2,3]
[-1,4,2,-5,-3]=>[-1,-5,2,4,-3]
[-1,4,-2,5,3]=>[5,-1,-2,-4,3]
[-1,4,-2,5,-3]=>[-4,-1,5,-2,-3]
[-1,4,-2,-5,3]=>[-1,4,-5,-2,3]
[-1,4,-2,-5,-3]=>[5,-1,-2,4,-3]
[-1,-4,2,5,3]=>[-5,-1,2,-4,3]
[-1,-4,2,5,-3]=>[-1,-4,5,2,-3]
[-1,-4,2,-5,3]=>[4,-1,-5,2,3]
[-1,-4,2,-5,-3]=>[-5,-1,2,4,-3]
[-1,-4,-2,5,3]=>[-1,5,-2,-4,3]
[-1,-4,-2,5,-3]=>[4,-1,5,-2,-3]
[-1,-4,-2,-5,3]=>[-1,-2,-5,4,3]
[-1,-4,-2,-5,-3]=>[-1,5,-2,4,-3]
[1,4,3,2,5]=>[1,-3,-4,2,5]
[1,4,3,2,-5]=>[1,-3,-4,2,-5]
[1,4,3,-2,5]=>[3,1,-4,-2,5]
[1,4,3,-2,-5]=>[3,1,-4,-2,-5]
[1,4,-3,2,5]=>[1,-3,4,2,5]
[1,4,-3,2,-5]=>[1,-3,4,2,-5]
[1,4,-3,-2,5]=>[3,1,4,-2,5]
[1,4,-3,-2,-5]=>[3,1,4,-2,-5]
[1,-4,3,2,5]=>[-3,1,-4,2,5]
[1,-4,3,2,-5]=>[-3,1,-4,2,-5]
[1,-4,3,-2,5]=>[1,3,-4,-2,5]
[1,-4,3,-2,-5]=>[1,3,-4,-2,-5]
[1,-4,-3,2,5]=>[-3,1,4,2,5]
[1,-4,-3,2,-5]=>[-3,1,4,2,-5]
[1,-4,-3,-2,5]=>[1,3,4,-2,5]
[1,-4,-3,-2,-5]=>[1,3,4,-2,-5]
[-1,4,3,2,5]=>[-1,-3,-4,2,5]
[-1,4,3,2,-5]=>[-1,-3,-4,2,-5]
[-1,4,3,-2,5]=>[3,-1,-4,-2,5]
[-1,4,3,-2,-5]=>[3,-1,-4,-2,-5]
[-1,4,-3,2,5]=>[-1,-3,4,2,5]
[-1,4,-3,2,-5]=>[-1,-3,4,2,-5]
[-1,4,-3,-2,5]=>[3,-1,4,-2,5]
[-1,4,-3,-2,-5]=>[3,-1,4,-2,-5]
[-1,-4,3,2,5]=>[-3,-1,-4,2,5]
[-1,-4,3,2,-5]=>[-3,-1,-4,2,-5]
[-1,-4,3,-2,5]=>[-1,3,-4,-2,5]
[-1,-4,3,-2,-5]=>[-1,3,-4,-2,-5]
[-1,-4,-3,2,5]=>[-3,-1,4,2,5]
[-1,-4,-3,2,-5]=>[-3,-1,4,2,-5]
[-1,-4,-3,-2,5]=>[-1,3,4,-2,5]
[-1,-4,-3,-2,-5]=>[-1,3,4,-2,-5]
[1,4,3,5,2]=>[1,-3,5,-4,2]
[1,4,3,5,-2]=>[3,1,5,-4,-2]
[1,4,3,-5,2]=>[-4,-5,1,3,2]
[1,4,3,-5,-2]=>[1,-5,4,3,-2]
[1,4,-3,5,2]=>[5,1,-4,-3,2]
[1,4,-3,5,-2]=>[-4,5,1,-3,-2]
[1,4,-3,-5,2]=>[1,-3,-5,4,2]
[1,4,-3,-5,-2]=>[3,1,-5,4,-2]
[1,-4,3,5,2]=>[-3,1,5,-4,2]
[1,-4,3,5,-2]=>[1,3,5,-4,-2]
[1,-4,3,-5,2]=>[4,-5,1,3,2]
[1,-4,3,-5,-2]=>[-5,1,4,3,-2]
[1,-4,-3,5,2]=>[1,5,-4,-3,2]
[1,-4,-3,5,-2]=>[4,5,1,-3,-2]
[1,-4,-3,-5,2]=>[-3,1,-5,4,2]
[1,-4,-3,-5,-2]=>[1,3,-5,4,-2]
[-1,4,3,5,2]=>[-1,-3,5,-4,2]
[-1,4,3,5,-2]=>[3,-1,5,-4,-2]
[-1,4,3,-5,2]=>[-4,-5,-1,3,2]
[-1,4,3,-5,-2]=>[-1,-5,4,3,-2]
[-1,4,-3,5,2]=>[5,-1,-4,-3,2]
[-1,4,-3,5,-2]=>[-4,5,-1,-3,-2]
[-1,4,-3,-5,2]=>[-1,-3,-5,4,2]
[-1,4,-3,-5,-2]=>[3,-1,-5,4,-2]
[-1,-4,3,5,2]=>[-3,-1,5,-4,2]
[-1,-4,3,5,-2]=>[-1,3,5,-4,-2]
[-1,-4,3,-5,2]=>[4,-5,-1,3,2]
[-1,-4,3,-5,-2]=>[-5,-1,4,3,-2]
[-1,-4,-3,5,2]=>[-1,5,-4,-3,2]
[-1,-4,-3,5,-2]=>[4,5,-1,-3,-2]
[-1,-4,-3,-5,2]=>[-3,-1,-5,4,2]
[-1,-4,-3,-5,-2]=>[-1,3,-5,4,-2]
[1,4,5,2,3]=>[-4,1,5,2,3]
[1,4,5,2,-3]=>[5,1,2,-4,-3]
[1,4,5,-2,3]=>[1,4,5,-2,3]
[1,4,5,-2,-3]=>[5,-4,1,-2,-3]
[1,4,-5,2,3]=>[5,1,2,4,3]
[1,4,-5,2,-3]=>[1,4,-5,2,-3]
[1,4,-5,-2,3]=>[1,-2,5,4,3]
[1,4,-5,-2,-3]=>[5,4,1,-2,-3]
[1,-4,5,2,3]=>[-5,-4,1,2,3]
[1,-4,5,2,-3]=>[1,2,-5,-4,-3]
[1,-4,5,-2,3]=>[1,-4,5,-2,3]
[1,-4,5,-2,-3]=>[-5,1,-2,-4,-3]
[1,-4,-5,2,3]=>[-5,4,1,2,3]
[1,-4,-5,2,-3]=>[1,-4,-5,2,-3]
[1,-4,-5,-2,3]=>[-5,1,-2,4,3]
[1,-4,-5,-2,-3]=>[4,1,-5,-2,-3]
[-1,4,5,2,3]=>[-4,-1,5,2,3]
[-1,4,5,2,-3]=>[5,-1,2,-4,-3]
[-1,4,5,-2,3]=>[-1,4,5,-2,3]
[-1,4,5,-2,-3]=>[5,-4,-1,-2,-3]
[-1,4,-5,2,3]=>[5,-1,2,4,3]
[-1,4,-5,2,-3]=>[-1,4,-5,2,-3]
[-1,4,-5,-2,3]=>[-1,-2,5,4,3]
[-1,4,-5,-2,-3]=>[5,4,-1,-2,-3]
[-1,-4,5,2,3]=>[-5,-4,-1,2,3]
[-1,-4,5,2,-3]=>[-1,2,-5,-4,-3]
[-1,-4,5,-2,3]=>[-1,-4,5,-2,3]
[-1,-4,5,-2,-3]=>[-5,-1,-2,-4,-3]
[-1,-4,-5,2,3]=>[-5,4,-1,2,3]
[-1,-4,-5,2,-3]=>[-1,-4,-5,2,-3]
[-1,-4,-5,-2,3]=>[-5,-1,-2,4,3]
[-1,-4,-5,-2,-3]=>[4,-1,-5,-2,-3]
[1,4,5,3,2]=>[1,3,-5,-4,2]
[1,4,5,3,-2]=>[5,3,1,-4,-2]
[1,4,5,-3,2]=>[1,4,-3,5,2]
[1,4,5,-3,-2]=>[3,4,1,5,-2]
[1,4,-5,3,2]=>[-4,1,3,-5,2]
[1,4,-5,3,-2]=>[1,4,3,-5,-2]
[1,4,-5,-3,2]=>[-3,1,5,4,2]
[1,4,-5,-3,-2]=>[1,3,5,4,-2]
[1,-4,5,3,2]=>[1,-3,-5,-4,2]
[1,-4,5,3,-2]=>[3,1,-5,-4,-2]
[1,-4,5,-3,2]=>[1,-4,-3,5,2]
[1,-4,5,-3,-2]=>[4,1,-3,5,-2]
[1,-4,-5,3,2]=>[-3,-4,1,-5,2]
[1,-4,-5,3,-2]=>[1,-4,3,-5,-2]
[1,-4,-5,-3,2]=>[-5,-3,1,4,2]
[1,-4,-5,-3,-2]=>[1,-3,5,4,-2]
[-1,4,5,3,2]=>[-1,3,-5,-4,2]
[-1,4,5,3,-2]=>[5,3,-1,-4,-2]
[-1,4,5,-3,2]=>[-1,4,-3,5,2]
[-1,4,5,-3,-2]=>[3,4,-1,5,-2]
[-1,4,-5,3,2]=>[-4,-1,3,-5,2]
[-1,4,-5,3,-2]=>[-1,4,3,-5,-2]
[-1,4,-5,-3,2]=>[-3,-1,5,4,2]
[-1,4,-5,-3,-2]=>[-1,3,5,4,-2]
[-1,-4,5,3,2]=>[-1,-3,-5,-4,2]
[-1,-4,5,3,-2]=>[3,-1,-5,-4,-2]
[-1,-4,5,-3,2]=>[-1,-4,-3,5,2]
[-1,-4,5,-3,-2]=>[4,-1,-3,5,-2]
[-1,-4,-5,3,2]=>[-3,-4,-1,-5,2]
[-1,-4,-5,3,-2]=>[-1,-4,3,-5,-2]
[-1,-4,-5,-3,2]=>[-5,-3,-1,4,2]
[-1,-4,-5,-3,-2]=>[-1,-3,5,4,-2]
[1,5,2,3,4]=>[5,1,2,3,4]
[1,5,2,3,-4]=>[1,-5,2,3,-4]
[1,5,2,-3,4]=>[1,-5,2,-3,4]
[1,5,2,-3,-4]=>[1,2,-3,-5,-4]
[1,5,-2,3,4]=>[1,-2,5,3,4]
[1,5,-2,3,-4]=>[5,1,-2,3,-4]
[1,5,-2,-3,4]=>[5,1,-2,-3,4]
[1,5,-2,-3,-4]=>[1,-5,-2,-3,-4]
[1,-5,2,3,4]=>[1,5,2,3,4]
[1,-5,2,3,-4]=>[-5,1,2,3,-4]
[1,-5,2,-3,4]=>[-5,1,2,-3,4]
[1,-5,2,-3,-4]=>[1,2,-5,-3,-4]
[1,-5,-2,3,4]=>[1,-2,3,5,4]
[1,-5,-2,3,-4]=>[1,5,-2,3,-4]
[1,-5,-2,-3,4]=>[1,5,-2,-3,4]
[1,-5,-2,-3,-4]=>[-5,1,-2,-3,-4]
[-1,5,2,3,4]=>[5,-1,2,3,4]
[-1,5,2,3,-4]=>[-1,-5,2,3,-4]
[-1,5,2,-3,4]=>[-1,-5,2,-3,4]
[-1,5,2,-3,-4]=>[-1,2,-3,-5,-4]
[-1,5,-2,3,4]=>[-1,-2,5,3,4]
[-1,5,-2,3,-4]=>[5,-1,-2,3,-4]
[-1,5,-2,-3,4]=>[5,-1,-2,-3,4]
[-1,5,-2,-3,-4]=>[-1,-5,-2,-3,-4]
[-1,-5,2,3,4]=>[-1,5,2,3,4]
[-1,-5,2,3,-4]=>[-5,-1,2,3,-4]
[-1,-5,2,-3,4]=>[-5,-1,2,-3,4]
[-1,-5,2,-3,-4]=>[-1,2,-5,-3,-4]
[-1,-5,-2,3,4]=>[-1,-2,3,5,4]
[-1,-5,-2,3,-4]=>[-1,5,-2,3,-4]
[-1,-5,-2,-3,4]=>[-1,5,-2,-3,4]
[-1,-5,-2,-3,-4]=>[-5,-1,-2,-3,-4]
[1,5,2,4,3]=>[-4,1,2,-5,3]
[1,5,2,4,-3]=>[1,-5,4,2,-3]
[1,5,2,-4,3]=>[1,-5,-4,2,3]
[1,5,2,-4,-3]=>[1,2,-4,5,-3]
[1,5,-2,4,3]=>[1,4,-2,-5,3]
[1,5,-2,4,-3]=>[5,1,4,-2,-3]
[1,5,-2,-4,3]=>[5,1,-4,-2,3]
[1,5,-2,-4,-3]=>[-4,1,-2,5,-3]
[1,-5,2,4,3]=>[4,1,2,-5,3]
[1,-5,2,4,-3]=>[-5,1,4,2,-3]
[1,-5,2,-4,3]=>[-5,1,-4,2,3]
[1,-5,2,-4,-3]=>[1,-4,2,5,-3]
[1,-5,-2,4,3]=>[1,-2,4,-5,3]
[1,-5,-2,4,-3]=>[1,5,4,-2,-3]
[1,-5,-2,-4,3]=>[1,5,-4,-2,3]
[1,-5,-2,-4,-3]=>[4,1,-2,5,-3]
[-1,5,2,4,3]=>[-4,-1,2,-5,3]
[-1,5,2,4,-3]=>[-1,-5,4,2,-3]
[-1,5,2,-4,3]=>[-1,-5,-4,2,3]
[-1,5,2,-4,-3]=>[-1,2,-4,5,-3]
[-1,5,-2,4,3]=>[-1,4,-2,-5,3]
[-1,5,-2,4,-3]=>[5,-1,4,-2,-3]
[-1,5,-2,-4,3]=>[5,-1,-4,-2,3]
[-1,5,-2,-4,-3]=>[-4,-1,-2,5,-3]
[-1,-5,2,4,3]=>[4,-1,2,-5,3]
[-1,-5,2,4,-3]=>[-5,-1,4,2,-3]
[-1,-5,2,-4,3]=>[-5,-1,-4,2,3]
[-1,-5,2,-4,-3]=>[-1,-4,2,5,-3]
[-1,-5,-2,4,3]=>[-1,-2,4,-5,3]
[-1,-5,-2,4,-3]=>[-1,5,4,-2,-3]
[-1,-5,-2,-4,3]=>[-1,5,-4,-2,3]
[-1,-5,-2,-4,-3]=>[4,-1,-2,5,-3]
[1,5,3,2,4]=>[1,-5,-3,2,4]
[1,5,3,2,-4]=>[1,-3,2,-5,-4]
[1,5,3,-2,4]=>[3,-5,1,-2,4]
[1,5,3,-2,-4]=>[3,1,-2,-5,-4]
[1,5,-3,2,4]=>[1,-3,2,5,4]
[1,5,-3,2,-4]=>[1,5,-3,2,-4]
[1,5,-3,-2,4]=>[3,1,-2,5,4]
[1,5,-3,-2,-4]=>[3,5,1,-2,-4]
[1,-5,3,2,4]=>[-3,-5,1,2,4]
[1,-5,3,2,-4]=>[-3,1,2,-5,-4]
[1,-5,3,-2,4]=>[1,-5,3,-2,4]
[1,-5,3,-2,-4]=>[1,3,-2,-5,-4]
[1,-5,-3,2,4]=>[-3,1,2,5,4]
[1,-5,-3,2,-4]=>[-3,5,1,2,-4]
[1,-5,-3,-2,4]=>[1,3,-2,5,4]
[1,-5,-3,-2,-4]=>[1,5,3,-2,-4]
[-1,5,3,2,4]=>[-1,-5,-3,2,4]
[-1,5,3,2,-4]=>[-1,-3,2,-5,-4]
[-1,5,3,-2,4]=>[3,-5,-1,-2,4]
[-1,5,3,-2,-4]=>[3,-1,-2,-5,-4]
[-1,5,-3,2,4]=>[-1,-3,2,5,4]
[-1,5,-3,2,-4]=>[-1,5,-3,2,-4]
[-1,5,-3,-2,4]=>[3,-1,-2,5,4]
[-1,5,-3,-2,-4]=>[3,5,-1,-2,-4]
[-1,-5,3,2,4]=>[-3,-5,-1,2,4]
[-1,-5,3,2,-4]=>[-3,-1,2,-5,-4]
[-1,-5,3,-2,4]=>[-1,-5,3,-2,4]
[-1,-5,3,-2,-4]=>[-1,3,-2,-5,-4]
[-1,-5,-3,2,4]=>[-3,-1,2,5,4]
[-1,-5,-3,2,-4]=>[-3,5,-1,2,-4]
[-1,-5,-3,-2,4]=>[-1,3,-2,5,4]
[-1,-5,-3,-2,-4]=>[-1,5,3,-2,-4]
[1,5,3,4,2]=>[-3,1,4,-5,2]
[1,5,3,4,-2]=>[1,3,4,-5,-2]
[1,5,3,-4,2]=>[-5,1,-4,3,2]
[1,5,3,-4,-2]=>[1,5,-4,3,-2]
[1,5,-3,4,2]=>[1,4,-5,-3,2]
[1,5,-3,4,-2]=>[5,4,1,-3,-2]
[1,5,-3,-4,2]=>[5,-3,-4,1,2]
[1,5,-3,-4,-2]=>[-3,1,-4,5,-2]
[1,-5,3,4,2]=>[3,1,4,-5,2]
[1,-5,3,4,-2]=>[-5,3,4,1,-2]
[1,-5,3,-4,2]=>[-5,-4,1,3,2]
[1,-5,3,-4,-2]=>[1,-4,5,3,-2]
[1,-5,-3,4,2]=>[1,-5,4,-3,2]
[1,-5,-3,4,-2]=>[5,1,4,-3,-2]
[1,-5,-3,-4,2]=>[1,-3,-4,5,2]
[1,-5,-3,-4,-2]=>[3,1,-4,5,-2]
[-1,5,3,4,2]=>[-3,-1,4,-5,2]
[-1,5,3,4,-2]=>[-1,3,4,-5,-2]
[-1,5,3,-4,2]=>[-5,-1,-4,3,2]
[-1,5,3,-4,-2]=>[-1,5,-4,3,-2]
[-1,5,-3,4,2]=>[-1,4,-5,-3,2]
[-1,5,-3,4,-2]=>[5,4,-1,-3,-2]
[-1,5,-3,-4,2]=>[5,-3,-4,-1,2]
[-1,5,-3,-4,-2]=>[-3,-1,-4,5,-2]
[-1,-5,3,4,2]=>[3,-1,4,-5,2]
[-1,-5,3,4,-2]=>[-5,3,4,-1,-2]
[-1,-5,3,-4,2]=>[-5,-4,-1,3,2]
[-1,-5,3,-4,-2]=>[-1,-4,5,3,-2]
[-1,-5,-3,4,2]=>[-1,-5,4,-3,2]
[-1,-5,-3,4,-2]=>[5,-1,4,-3,-2]
[-1,-5,-3,-4,2]=>[-1,-3,-4,5,2]
[-1,-5,-3,-4,-2]=>[3,-1,-4,5,-2]
[1,5,4,2,3]=>[-4,-5,1,2,3]
[1,5,4,2,-3]=>[1,2,-4,-5,-3]
[1,5,4,-2,3]=>[1,-5,4,-2,3]
[1,5,4,-2,-3]=>[-4,1,-2,-5,-3]
[1,5,-4,2,3]=>[-4,1,2,5,3]
[1,5,-4,2,-3]=>[5,1,-4,2,-3]
[1,5,-4,-2,3]=>[1,4,-2,5,3]
[1,5,-4,-2,-3]=>[-4,5,1,-2,-3]
[1,-5,4,2,3]=>[4,-5,1,2,3]
[1,-5,4,2,-3]=>[1,-4,2,-5,-3]
[1,-5,4,-2,3]=>[-5,1,4,-2,3]
[1,-5,4,-2,-3]=>[4,1,-2,-5,-3]
[1,-5,-4,2,3]=>[4,1,2,5,3]
[1,-5,-4,2,-3]=>[1,5,-4,2,-3]
[1,-5,-4,-2,3]=>[1,-2,4,5,3]
[1,-5,-4,-2,-3]=>[4,5,1,-2,-3]
[-1,5,4,2,3]=>[-4,-5,-1,2,3]
[-1,5,4,2,-3]=>[-1,2,-4,-5,-3]
[-1,5,4,-2,3]=>[-1,-5,4,-2,3]
[-1,5,4,-2,-3]=>[-4,-1,-2,-5,-3]
[-1,5,-4,2,3]=>[-4,-1,2,5,3]
[-1,5,-4,2,-3]=>[5,-1,-4,2,-3]
[-1,5,-4,-2,3]=>[-1,4,-2,5,3]
[-1,5,-4,-2,-3]=>[-4,5,-1,-2,-3]
[-1,-5,4,2,3]=>[4,-5,-1,2,3]
[-1,-5,4,2,-3]=>[-1,-4,2,-5,-3]
[-1,-5,4,-2,3]=>[-5,-1,4,-2,3]
[-1,-5,4,-2,-3]=>[4,-1,-2,-5,-3]
[-1,-5,-4,2,3]=>[4,-1,2,5,3]
[-1,-5,-4,2,-3]=>[-1,5,-4,2,-3]
[-1,-5,-4,-2,3]=>[-1,-2,4,5,3]
[-1,-5,-4,-2,-3]=>[4,5,-1,-2,-3]
[1,5,4,3,2]=>[1,-3,-4,-5,2]
[1,5,4,3,-2]=>[3,1,-4,-5,-2]
[1,5,4,-3,2]=>[1,-5,-3,4,2]
[1,5,4,-3,-2]=>[5,1,-3,4,-2]
[1,5,-4,3,2]=>[1,-5,3,-4,2]
[1,5,-4,3,-2]=>[5,1,3,-4,-2]
[1,5,-4,-3,2]=>[1,-3,4,5,2]
[1,5,-4,-3,-2]=>[3,1,4,5,-2]
[1,-5,4,3,2]=>[-3,1,-4,-5,2]
[1,-5,4,3,-2]=>[1,3,-4,-5,-2]
[1,-5,4,-3,2]=>[-5,1,-3,4,2]
[1,-5,4,-3,-2]=>[1,5,-3,4,-2]
[1,-5,-4,3,2]=>[-5,1,3,-4,2]
[1,-5,-4,3,-2]=>[1,5,3,-4,-2]
[1,-5,-4,-3,2]=>[-3,1,4,5,2]
[1,-5,-4,-3,-2]=>[1,3,4,5,-2]
[-1,5,4,3,2]=>[-1,-3,-4,-5,2]
[-1,5,4,3,-2]=>[3,-1,-4,-5,-2]
[-1,5,4,-3,2]=>[-1,-5,-3,4,2]
[-1,5,4,-3,-2]=>[5,-1,-3,4,-2]
[-1,5,-4,3,2]=>[-1,-5,3,-4,2]
[-1,5,-4,3,-2]=>[5,-1,3,-4,-2]
[-1,5,-4,-3,2]=>[-1,-3,4,5,2]
[-1,5,-4,-3,-2]=>[3,-1,4,5,-2]
[-1,-5,4,3,2]=>[-3,-1,-4,-5,2]
[-1,-5,4,3,-2]=>[-1,3,-4,-5,-2]
[-1,-5,4,-3,2]=>[-5,-1,-3,4,2]
[-1,-5,4,-3,-2]=>[-1,5,-3,4,-2]
[-1,-5,-4,3,2]=>[-5,-1,3,-4,2]
[-1,-5,-4,3,-2]=>[-1,5,3,-4,-2]
[-1,-5,-4,-3,2]=>[-3,-1,4,5,2]
[-1,-5,-4,-3,-2]=>[-1,3,4,5,-2]
[2,1,3,4,5]=>[-2,1,3,4,5]
[2,1,3,4,-5]=>[-2,1,3,4,-5]
[2,1,3,-4,5]=>[-2,1,3,-4,5]
[2,1,3,-4,-5]=>[-2,1,3,-4,-5]
[2,1,-3,4,5]=>[-2,1,-3,4,5]
[2,1,-3,4,-5]=>[-2,1,-3,4,-5]
[2,1,-3,-4,5]=>[-2,1,-3,-4,5]
[2,1,-3,-4,-5]=>[-2,1,-3,-4,-5]
[2,-1,3,4,5]=>[-2,-1,3,4,5]
[2,-1,3,4,-5]=>[-2,-1,3,4,-5]
[2,-1,3,-4,5]=>[-2,-1,3,-4,5]
[2,-1,3,-4,-5]=>[-2,-1,3,-4,-5]
[2,-1,-3,4,5]=>[-2,-1,-3,4,5]
[2,-1,-3,4,-5]=>[-2,-1,-3,4,-5]
[2,-1,-3,-4,5]=>[-2,-1,-3,-4,5]
[2,-1,-3,-4,-5]=>[-2,-1,-3,-4,-5]
[-2,1,3,4,5]=>[2,1,3,4,5]
[-2,1,3,4,-5]=>[2,1,3,4,-5]
[-2,1,3,-4,5]=>[2,1,3,-4,5]
[-2,1,3,-4,-5]=>[2,1,3,-4,-5]
[-2,1,-3,4,5]=>[2,1,-3,4,5]
[-2,1,-3,4,-5]=>[2,1,-3,4,-5]
[-2,1,-3,-4,5]=>[2,1,-3,-4,5]
[-2,1,-3,-4,-5]=>[2,1,-3,-4,-5]
[-2,-1,3,4,5]=>[2,-1,3,4,5]
[-2,-1,3,4,-5]=>[2,-1,3,4,-5]
[-2,-1,3,-4,5]=>[2,-1,3,-4,5]
[-2,-1,3,-4,-5]=>[2,-1,3,-4,-5]
[-2,-1,-3,4,5]=>[2,-1,-3,4,5]
[-2,-1,-3,4,-5]=>[2,-1,-3,4,-5]
[-2,-1,-3,-4,5]=>[2,-1,-3,-4,5]
[-2,-1,-3,-4,-5]=>[2,-1,-3,-4,-5]
[2,1,3,5,4]=>[-2,1,3,-5,4]
[2,1,3,5,-4]=>[-2,1,5,3,-4]
[2,1,3,-5,4]=>[-2,1,-5,3,4]
[2,1,3,-5,-4]=>[-2,1,3,5,-4]
[2,1,-3,5,4]=>[-2,1,-3,-5,4]
[2,1,-3,5,-4]=>[-2,1,5,-3,-4]
[2,1,-3,-5,4]=>[-2,1,-5,-3,4]
[2,1,-3,-5,-4]=>[-2,1,-3,5,-4]
[2,-1,3,5,4]=>[-2,-1,3,-5,4]
[2,-1,3,5,-4]=>[-2,-1,5,3,-4]
[2,-1,3,-5,4]=>[-2,-1,-5,3,4]
[2,-1,3,-5,-4]=>[-2,-1,3,5,-4]
[2,-1,-3,5,4]=>[-2,-1,-3,-5,4]
[2,-1,-3,5,-4]=>[-2,-1,5,-3,-4]
[2,-1,-3,-5,4]=>[-2,-1,-5,-3,4]
[2,-1,-3,-5,-4]=>[-2,-1,-3,5,-4]
[-2,1,3,5,4]=>[2,1,3,-5,4]
[-2,1,3,5,-4]=>[2,1,5,3,-4]
[-2,1,3,-5,4]=>[2,1,-5,3,4]
[-2,1,3,-5,-4]=>[2,1,3,5,-4]
[-2,1,-3,5,4]=>[2,1,-3,-5,4]
[-2,1,-3,5,-4]=>[2,1,5,-3,-4]
[-2,1,-3,-5,4]=>[2,1,-5,-3,4]
[-2,1,-3,-5,-4]=>[2,1,-3,5,-4]
[-2,-1,3,5,4]=>[2,-1,3,-5,4]
[-2,-1,3,5,-4]=>[2,-1,5,3,-4]
[-2,-1,3,-5,4]=>[2,-1,-5,3,4]
[-2,-1,3,-5,-4]=>[2,-1,3,5,-4]
[-2,-1,-3,5,4]=>[2,-1,-3,-5,4]
[-2,-1,-3,5,-4]=>[2,-1,5,-3,-4]
[-2,-1,-3,-5,4]=>[2,-1,-5,-3,4]
[-2,-1,-3,-5,-4]=>[2,-1,-3,5,-4]
[2,1,4,3,5]=>[-2,1,-4,3,5]
[2,1,4,3,-5]=>[-2,1,-4,3,-5]
[2,1,4,-3,5]=>[-2,4,1,-3,5]
[2,1,4,-3,-5]=>[-2,4,1,-3,-5]
[2,1,-4,3,5]=>[-2,-4,1,3,5]
[2,1,-4,3,-5]=>[-2,-4,1,3,-5]
[2,1,-4,-3,5]=>[-2,1,4,-3,5]
[2,1,-4,-3,-5]=>[-2,1,4,-3,-5]
[2,-1,4,3,5]=>[-2,-1,-4,3,5]
[2,-1,4,3,-5]=>[-2,-1,-4,3,-5]
[2,-1,4,-3,5]=>[-2,4,-1,-3,5]
[2,-1,4,-3,-5]=>[-2,4,-1,-3,-5]
[2,-1,-4,3,5]=>[-2,-4,-1,3,5]
[2,-1,-4,3,-5]=>[-2,-4,-1,3,-5]
[2,-1,-4,-3,5]=>[-2,-1,4,-3,5]
[2,-1,-4,-3,-5]=>[-2,-1,4,-3,-5]
[-2,1,4,3,5]=>[2,1,-4,3,5]
[-2,1,4,3,-5]=>[2,1,-4,3,-5]
[-2,1,4,-3,5]=>[2,4,1,-3,5]
[-2,1,4,-3,-5]=>[2,4,1,-3,-5]
[-2,1,-4,3,5]=>[2,-4,1,3,5]
[-2,1,-4,3,-5]=>[2,-4,1,3,-5]
[-2,1,-4,-3,5]=>[2,1,4,-3,5]
[-2,1,-4,-3,-5]=>[2,1,4,-3,-5]
[-2,-1,4,3,5]=>[2,-1,-4,3,5]
[-2,-1,4,3,-5]=>[2,-1,-4,3,-5]
[-2,-1,4,-3,5]=>[2,4,-1,-3,5]
[-2,-1,4,-3,-5]=>[2,4,-1,-3,-5]
[-2,-1,-4,3,5]=>[2,-4,-1,3,5]
[-2,-1,-4,3,-5]=>[2,-4,-1,3,-5]
[-2,-1,-4,-3,5]=>[2,-1,4,-3,5]
[-2,-1,-4,-3,-5]=>[2,-1,4,-3,-5]
[2,1,4,5,3]=>[-2,1,5,-4,3]
[2,1,4,5,-3]=>[-2,4,5,1,-3]
[2,1,4,-5,3]=>[-2,-5,1,4,3]
[2,1,4,-5,-3]=>[-2,1,5,4,-3]
[2,1,-4,5,3]=>[-2,1,-5,-4,3]
[2,1,-4,5,-3]=>[-2,5,1,-4,-3]
[2,1,-4,-5,3]=>[-2,-4,-5,1,3]
[2,1,-4,-5,-3]=>[-2,1,-5,4,-3]
[2,-1,4,5,3]=>[-2,-1,5,-4,3]
[2,-1,4,5,-3]=>[-2,4,5,-1,-3]
[2,-1,4,-5,3]=>[-2,-5,-1,4,3]
[2,-1,4,-5,-3]=>[-2,-1,5,4,-3]
[2,-1,-4,5,3]=>[-2,-1,-5,-4,3]
[2,-1,-4,5,-3]=>[-2,5,-1,-4,-3]
[2,-1,-4,-5,3]=>[-2,-4,-5,-1,3]
[2,-1,-4,-5,-3]=>[-2,-1,-5,4,-3]
[-2,1,4,5,3]=>[2,1,5,-4,3]
[-2,1,4,5,-3]=>[2,4,5,1,-3]
[-2,1,4,-5,3]=>[2,-5,1,4,3]
[-2,1,4,-5,-3]=>[2,1,5,4,-3]
[-2,1,-4,5,3]=>[2,1,-5,-4,3]
[-2,1,-4,5,-3]=>[2,5,1,-4,-3]
[-2,1,-4,-5,3]=>[2,-4,-5,1,3]
[-2,1,-4,-5,-3]=>[2,1,-5,4,-3]
[-2,-1,4,5,3]=>[2,-1,5,-4,3]
[-2,-1,4,5,-3]=>[2,4,5,-1,-3]
[-2,-1,4,-5,3]=>[2,-5,-1,4,3]
[-2,-1,4,-5,-3]=>[2,-1,5,4,-3]
[-2,-1,-4,5,3]=>[2,-1,-5,-4,3]
[-2,-1,-4,5,-3]=>[2,5,-1,-4,-3]
[-2,-1,-4,-5,3]=>[2,-4,-5,-1,3]
[-2,-1,-4,-5,-3]=>[2,-1,-5,4,-3]
[2,1,5,3,4]=>[-2,-5,1,3,4]
[2,1,5,3,-4]=>[-2,1,3,-5,-4]
[2,1,5,-3,4]=>[-2,1,5,-3,4]
[2,1,5,-3,-4]=>[5,-2,1,-3,-4]
[2,1,-5,3,4]=>[-5,-2,1,3,4]
[2,1,-5,3,-4]=>[-2,1,-5,3,-4]
[2,1,-5,-3,4]=>[-2,1,-3,5,4]
[2,1,-5,-3,-4]=>[-2,5,1,-3,-4]
[2,-1,5,3,4]=>[-2,-5,-1,3,4]
[2,-1,5,3,-4]=>[-2,-1,3,-5,-4]
[2,-1,5,-3,4]=>[-2,-1,5,-3,4]
[2,-1,5,-3,-4]=>[5,-2,-1,-3,-4]
[2,-1,-5,3,4]=>[-5,-2,-1,3,4]
[2,-1,-5,3,-4]=>[-2,-1,-5,3,-4]
[2,-1,-5,-3,4]=>[-2,-1,-3,5,4]
[2,-1,-5,-3,-4]=>[-2,5,-1,-3,-4]
[-2,1,5,3,4]=>[2,-5,1,3,4]
[-2,1,5,3,-4]=>[2,1,3,-5,-4]
[-2,1,5,-3,4]=>[2,1,5,-3,4]
[-2,1,5,-3,-4]=>[5,2,1,-3,-4]
[-2,1,-5,3,4]=>[-5,2,1,3,4]
[-2,1,-5,3,-4]=>[2,1,-5,3,-4]
[-2,1,-5,-3,4]=>[2,1,-3,5,4]
[-2,1,-5,-3,-4]=>[2,5,1,-3,-4]
[-2,-1,5,3,4]=>[2,-5,-1,3,4]
[-2,-1,5,3,-4]=>[2,-1,3,-5,-4]
[-2,-1,5,-3,4]=>[2,-1,5,-3,4]
[-2,-1,5,-3,-4]=>[5,2,-1,-3,-4]
[-2,-1,-5,3,4]=>[-5,2,-1,3,4]
[-2,-1,-5,3,-4]=>[2,-1,-5,3,-4]
[-2,-1,-5,-3,4]=>[2,-1,-3,5,4]
[-2,-1,-5,-3,-4]=>[2,5,-1,-3,-4]
[2,1,5,4,3]=>[-2,1,-4,-5,3]
[2,1,5,4,-3]=>[-2,4,1,-5,-3]
[2,1,5,-4,3]=>[-2,1,-4,5,3]
[2,1,5,-4,-3]=>[-2,4,1,5,-3]
[2,1,-5,4,3]=>[-2,-4,1,-5,3]
[2,1,-5,4,-3]=>[-2,1,4,-5,-3]
[2,1,-5,-4,3]=>[-2,-4,1,5,3]
[2,1,-5,-4,-3]=>[-2,1,4,5,-3]
[2,-1,5,4,3]=>[-2,-1,-4,-5,3]
[2,-1,5,4,-3]=>[-2,4,-1,-5,-3]
[2,-1,5,-4,3]=>[-2,-1,-4,5,3]
[2,-1,5,-4,-3]=>[-2,4,-1,5,-3]
[2,-1,-5,4,3]=>[-2,-4,-1,-5,3]
[2,-1,-5,4,-3]=>[-2,-1,4,-5,-3]
[2,-1,-5,-4,3]=>[-2,-4,-1,5,3]
[2,-1,-5,-4,-3]=>[-2,-1,4,5,-3]
[-2,1,5,4,3]=>[2,1,-4,-5,3]
[-2,1,5,4,-3]=>[2,4,1,-5,-3]
[-2,1,5,-4,3]=>[2,1,-4,5,3]
[-2,1,5,-4,-3]=>[2,4,1,5,-3]
[-2,1,-5,4,3]=>[2,-4,1,-5,3]
[-2,1,-5,4,-3]=>[2,1,4,-5,-3]
[-2,1,-5,-4,3]=>[2,-4,1,5,3]
[-2,1,-5,-4,-3]=>[2,1,4,5,-3]
[-2,-1,5,4,3]=>[2,-1,-4,-5,3]
[-2,-1,5,4,-3]=>[2,4,-1,-5,-3]
[-2,-1,5,-4,3]=>[2,-1,-4,5,3]
[-2,-1,5,-4,-3]=>[2,4,-1,5,-3]
[-2,-1,-5,4,3]=>[2,-4,-1,-5,3]
[-2,-1,-5,4,-3]=>[2,-1,4,-5,-3]
[-2,-1,-5,-4,3]=>[2,-4,-1,5,3]
[-2,-1,-5,-4,-3]=>[2,-1,4,5,-3]
[2,3,1,4,5]=>[3,-2,1,4,5]
[2,3,1,4,-5]=>[3,-2,1,4,-5]
[2,3,1,-4,5]=>[3,-2,1,-4,5]
[2,3,1,-4,-5]=>[3,-2,1,-4,-5]
[2,3,-1,4,5]=>[3,-2,-1,4,5]
[2,3,-1,4,-5]=>[3,-2,-1,4,-5]
[2,3,-1,-4,5]=>[3,-2,-1,-4,5]
[2,3,-1,-4,-5]=>[3,-2,-1,-4,-5]
[2,-3,1,4,5]=>[3,2,1,4,5]
[2,-3,1,4,-5]=>[3,2,1,4,-5]
[2,-3,1,-4,5]=>[3,2,1,-4,5]
[2,-3,1,-4,-5]=>[3,2,1,-4,-5]
[2,-3,-1,4,5]=>[3,2,-1,4,5]
[2,-3,-1,4,-5]=>[3,2,-1,4,-5]
[2,-3,-1,-4,5]=>[3,2,-1,-4,5]
[2,-3,-1,-4,-5]=>[3,2,-1,-4,-5]
[-2,3,1,4,5]=>[-3,-2,1,4,5]
[-2,3,1,4,-5]=>[-3,-2,1,4,-5]
[-2,3,1,-4,5]=>[-3,-2,1,-4,5]
[-2,3,1,-4,-5]=>[-3,-2,1,-4,-5]
[-2,3,-1,4,5]=>[-3,-2,-1,4,5]
[-2,3,-1,4,-5]=>[-3,-2,-1,4,-5]
[-2,3,-1,-4,5]=>[-3,-2,-1,-4,5]
[-2,3,-1,-4,-5]=>[-3,-2,-1,-4,-5]
[-2,-3,1,4,5]=>[-3,2,1,4,5]
[-2,-3,1,4,-5]=>[-3,2,1,4,-5]
[-2,-3,1,-4,5]=>[-3,2,1,-4,5]
[-2,-3,1,-4,-5]=>[-3,2,1,-4,-5]
[-2,-3,-1,4,5]=>[-3,2,-1,4,5]
[-2,-3,-1,4,-5]=>[-3,2,-1,4,-5]
[-2,-3,-1,-4,5]=>[-3,2,-1,-4,5]
[-2,-3,-1,-4,-5]=>[-3,2,-1,-4,-5]
[2,3,1,5,4]=>[3,-2,1,-5,4]
[2,3,1,5,-4]=>[3,-2,5,1,-4]
[2,3,1,-5,4]=>[3,-2,-5,1,4]
[2,3,1,-5,-4]=>[3,-2,1,5,-4]
[2,3,-1,5,4]=>[3,-2,-1,-5,4]
[2,3,-1,5,-4]=>[3,-2,5,-1,-4]
[2,3,-1,-5,4]=>[3,-2,-5,-1,4]
[2,3,-1,-5,-4]=>[3,-2,-1,5,-4]
[2,-3,1,5,4]=>[3,2,1,-5,4]
[2,-3,1,5,-4]=>[3,2,5,1,-4]
[2,-3,1,-5,4]=>[3,2,-5,1,4]
[2,-3,1,-5,-4]=>[3,2,1,5,-4]
[2,-3,-1,5,4]=>[3,2,-1,-5,4]
[2,-3,-1,5,-4]=>[3,2,5,-1,-4]
[2,-3,-1,-5,4]=>[3,2,-5,-1,4]
[2,-3,-1,-5,-4]=>[3,2,-1,5,-4]
[-2,3,1,5,4]=>[-3,-2,1,-5,4]
[-2,3,1,5,-4]=>[-3,-2,5,1,-4]
[-2,3,1,-5,4]=>[-3,-2,-5,1,4]
[-2,3,1,-5,-4]=>[-3,-2,1,5,-4]
[-2,3,-1,5,4]=>[-3,-2,-1,-5,4]
[-2,3,-1,5,-4]=>[-3,-2,5,-1,-4]
[-2,3,-1,-5,4]=>[-3,-2,-5,-1,4]
[-2,3,-1,-5,-4]=>[-3,-2,-1,5,-4]
[-2,-3,1,5,4]=>[-3,2,1,-5,4]
[-2,-3,1,5,-4]=>[-3,2,5,1,-4]
[-2,-3,1,-5,4]=>[-3,2,-5,1,4]
[-2,-3,1,-5,-4]=>[-3,2,1,5,-4]
[-2,-3,-1,5,4]=>[-3,2,-1,-5,4]
[-2,-3,-1,5,-4]=>[-3,2,5,-1,-4]
[-2,-3,-1,-5,4]=>[-3,2,-5,-1,4]
[-2,-3,-1,-5,-4]=>[-3,2,-1,5,-4]
[2,3,4,1,5]=>[3,4,-2,1,5]
[2,3,4,1,-5]=>[3,4,-2,1,-5]
[2,3,4,-1,5]=>[3,4,-2,-1,5]
[2,3,4,-1,-5]=>[3,4,-2,-1,-5]
[2,3,-4,1,5]=>[4,2,3,1,5]
[2,3,-4,1,-5]=>[4,2,3,1,-5]
[2,3,-4,-1,5]=>[4,2,3,-1,5]
[2,3,-4,-1,-5]=>[4,2,3,-1,-5]
[2,-3,4,1,5]=>[4,-2,-3,1,5]
[2,-3,4,1,-5]=>[4,-2,-3,1,-5]
[2,-3,4,-1,5]=>[4,-2,-3,-1,5]
[2,-3,4,-1,-5]=>[4,-2,-3,-1,-5]
[2,-3,-4,1,5]=>[3,-4,2,1,5]
[2,-3,-4,1,-5]=>[3,-4,2,1,-5]
[2,-3,-4,-1,5]=>[3,-4,2,-1,5]
[2,-3,-4,-1,-5]=>[3,-4,2,-1,-5]
[-2,3,4,1,5]=>[-3,4,-2,1,5]
[-2,3,4,1,-5]=>[-3,4,-2,1,-5]
[-2,3,4,-1,5]=>[-3,4,-2,-1,5]
[-2,3,4,-1,-5]=>[-3,4,-2,-1,-5]
[-2,3,-4,1,5]=>[-4,2,3,1,5]
[-2,3,-4,1,-5]=>[-4,2,3,1,-5]
[-2,3,-4,-1,5]=>[-4,2,3,-1,5]
[-2,3,-4,-1,-5]=>[-4,2,3,-1,-5]
[-2,-3,4,1,5]=>[-4,-2,-3,1,5]
[-2,-3,4,1,-5]=>[-4,-2,-3,1,-5]
[-2,-3,4,-1,5]=>[-4,-2,-3,-1,5]
[-2,-3,4,-1,-5]=>[-4,-2,-3,-1,-5]
[-2,-3,-4,1,5]=>[-3,-4,2,1,5]
[-2,-3,-4,1,-5]=>[-3,-4,2,1,-5]
[-2,-3,-4,-1,5]=>[-3,-4,2,-1,5]
[-2,-3,-4,-1,-5]=>[-3,-4,2,-1,-5]
[2,3,4,5,1]=>[3,4,5,-2,1]
[2,3,4,5,-1]=>[3,4,5,-2,-1]
[2,3,4,-5,1]=>[5,2,3,4,1]
[2,3,4,-5,-1]=>[5,2,3,4,-1]
[2,3,-4,5,1]=>[3,5,-2,-4,1]
[2,3,-4,5,-1]=>[3,5,-2,-4,-1]
[2,3,-4,-5,1]=>[4,2,-5,3,1]
[2,3,-4,-5,-1]=>[4,2,-5,3,-1]
[2,-3,4,5,1]=>[4,-2,5,-3,1]
[2,-3,4,5,-1]=>[4,-2,5,-3,-1]
[2,-3,4,-5,1]=>[3,-5,2,4,1]
[2,-3,4,-5,-1]=>[3,-5,2,4,-1]
[2,-3,-4,5,1]=>[5,-2,-3,-4,1]
[2,-3,-4,5,-1]=>[5,-2,-3,-4,-1]
[2,-3,-4,-5,1]=>[3,-4,-5,2,1]
[2,-3,-4,-5,-1]=>[3,-4,-5,2,-1]
[-2,3,4,5,1]=>[-3,4,5,-2,1]
[-2,3,4,5,-1]=>[-3,4,5,-2,-1]
[-2,3,4,-5,1]=>[-5,2,3,4,1]
[-2,3,4,-5,-1]=>[-5,2,3,4,-1]
[-2,3,-4,5,1]=>[-3,5,-2,-4,1]
[-2,3,-4,5,-1]=>[-3,5,-2,-4,-1]
[-2,3,-4,-5,1]=>[-4,2,-5,3,1]
[-2,3,-4,-5,-1]=>[-4,2,-5,3,-1]
[-2,-3,4,5,1]=>[-4,-2,5,-3,1]
[-2,-3,4,5,-1]=>[-4,-2,5,-3,-1]
[-2,-3,4,-5,1]=>[-3,-5,2,4,1]
[-2,-3,4,-5,-1]=>[-3,-5,2,4,-1]
[-2,-3,-4,5,1]=>[-5,-2,-3,-4,1]
[-2,-3,-4,5,-1]=>[-5,-2,-3,-4,-1]
[-2,-3,-4,-5,1]=>[-3,-4,-5,2,1]
[-2,-3,-4,-5,-1]=>[-3,-4,-5,2,-1]
[2,3,5,1,4]=>[3,-2,5,1,4]
[2,3,5,1,-4]=>[5,3,-2,1,-4]
[2,3,5,-1,4]=>[3,-2,5,-1,4]
[2,3,5,-1,-4]=>[5,3,-2,-1,-4]
[2,3,-5,1,4]=>[2,5,3,1,4]
[2,3,-5,1,-4]=>[-5,2,3,1,-4]
[2,3,-5,-1,4]=>[2,5,3,-1,4]
[2,3,-5,-1,-4]=>[-5,2,3,-1,-4]
[2,-3,5,1,4]=>[-2,5,-3,1,4]
[2,-3,5,1,-4]=>[-5,-2,-3,1,-4]
[2,-3,5,-1,4]=>[-2,5,-3,-1,4]
[2,-3,5,-1,-4]=>[-5,-2,-3,-1,-4]
[2,-3,-5,1,4]=>[-5,3,2,1,4]
[2,-3,-5,1,-4]=>[3,2,-5,1,-4]
[2,-3,-5,-1,4]=>[-5,3,2,-1,4]
[2,-3,-5,-1,-4]=>[3,2,-5,-1,-4]
[-2,3,5,1,4]=>[-3,-2,5,1,4]
[-2,3,5,1,-4]=>[5,-3,-2,1,-4]
[-2,3,5,-1,4]=>[-3,-2,5,-1,4]
[-2,3,5,-1,-4]=>[5,-3,-2,-1,-4]
[-2,3,-5,1,4]=>[5,2,3,1,4]
[-2,3,-5,1,-4]=>[2,-5,3,1,-4]
[-2,3,-5,-1,4]=>[5,2,3,-1,4]
[-2,3,-5,-1,-4]=>[2,-5,3,-1,-4]
[-2,-3,5,1,4]=>[5,-2,-3,1,4]
[-2,-3,5,1,-4]=>[-2,-5,-3,1,-4]
[-2,-3,5,-1,4]=>[5,-2,-3,-1,4]
[-2,-3,5,-1,-4]=>[-2,-5,-3,-1,-4]
[-2,-3,-5,1,4]=>[-5,-3,2,1,4]
[-2,-3,-5,1,-4]=>[-3,2,-5,1,-4]
[-2,-3,-5,-1,4]=>[-5,-3,2,-1,4]
[-2,-3,-5,-1,-4]=>[-3,2,-5,-1,-4]
[2,3,5,4,1]=>[3,4,-2,-5,1]
[2,3,5,4,-1]=>[3,4,-2,-5,-1]
[2,3,5,-4,1]=>[4,2,5,3,1]
[2,3,5,-4,-1]=>[4,2,5,3,-1]
[2,3,-5,4,1]=>[3,-2,4,-5,1]
[2,3,-5,4,-1]=>[3,-2,4,-5,-1]
[2,3,-5,-4,1]=>[4,2,3,5,1]
[2,3,-5,-4,-1]=>[4,2,3,5,-1]
[2,-3,5,4,1]=>[4,-2,-3,-5,1]
[2,-3,5,4,-1]=>[4,-2,-3,-5,-1]
[2,-3,5,-4,1]=>[3,2,-4,5,1]
[2,-3,5,-4,-1]=>[3,2,-4,5,-1]
[2,-3,-5,4,1]=>[4,-2,-5,-3,1]
[2,-3,-5,4,-1]=>[4,-2,-5,-3,-1]
[2,-3,-5,-4,1]=>[3,-4,2,5,1]
[2,-3,-5,-4,-1]=>[3,-4,2,5,-1]
[-2,3,5,4,1]=>[-3,4,-2,-5,1]
[-2,3,5,4,-1]=>[-3,4,-2,-5,-1]
[-2,3,5,-4,1]=>[-4,2,5,3,1]
[-2,3,5,-4,-1]=>[-4,2,5,3,-1]
[-2,3,-5,4,1]=>[-3,-2,4,-5,1]
[-2,3,-5,4,-1]=>[-3,-2,4,-5,-1]
[-2,3,-5,-4,1]=>[-4,2,3,5,1]
[-2,3,-5,-4,-1]=>[-4,2,3,5,-1]
[-2,-3,5,4,1]=>[-4,-2,-3,-5,1]
[-2,-3,5,4,-1]=>[-4,-2,-3,-5,-1]
[-2,-3,5,-4,1]=>[-3,2,-4,5,1]
[-2,-3,5,-4,-1]=>[-3,2,-4,5,-1]
[-2,-3,-5,4,1]=>[-4,-2,-5,-3,1]
[-2,-3,-5,4,-1]=>[-4,-2,-5,-3,-1]
[-2,-3,-5,-4,1]=>[-3,-4,2,5,1]
[-2,-3,-5,-4,-1]=>[-3,-4,2,5,-1]
[2,4,1,3,5]=>[-2,4,1,3,5]
[2,4,1,3,-5]=>[-2,4,1,3,-5]
[2,4,1,-3,5]=>[-4,-2,1,-3,5]
[2,4,1,-3,-5]=>[-4,-2,1,-3,-5]
[2,4,-1,3,5]=>[-2,4,-1,3,5]
[2,4,-1,3,-5]=>[-2,4,-1,3,-5]
[2,4,-1,-3,5]=>[-4,-2,-1,-3,5]
[2,4,-1,-3,-5]=>[-4,-2,-1,-3,-5]
[2,-4,1,3,5]=>[2,4,1,3,5]
[2,-4,1,3,-5]=>[2,4,1,3,-5]
[2,-4,1,-3,5]=>[-4,2,1,-3,5]
[2,-4,1,-3,-5]=>[-4,2,1,-3,-5]
[2,-4,-1,3,5]=>[2,4,-1,3,5]
[2,-4,-1,3,-5]=>[2,4,-1,3,-5]
[2,-4,-1,-3,5]=>[-4,2,-1,-3,5]
[2,-4,-1,-3,-5]=>[-4,2,-1,-3,-5]
[-2,4,1,3,5]=>[4,-2,1,3,5]
[-2,4,1,3,-5]=>[4,-2,1,3,-5]
[-2,4,1,-3,5]=>[-2,-4,1,-3,5]
[-2,4,1,-3,-5]=>[-2,-4,1,-3,-5]
[-2,4,-1,3,5]=>[4,-2,-1,3,5]
[-2,4,-1,3,-5]=>[4,-2,-1,3,-5]
[-2,4,-1,-3,5]=>[-2,-4,-1,-3,5]
[-2,4,-1,-3,-5]=>[-2,-4,-1,-3,-5]
[-2,-4,1,3,5]=>[4,2,1,3,5]
[-2,-4,1,3,-5]=>[4,2,1,3,-5]
[-2,-4,1,-3,5]=>[2,-4,1,-3,5]
[-2,-4,1,-3,-5]=>[2,-4,1,-3,-5]
[-2,-4,-1,3,5]=>[4,2,-1,3,5]
[-2,-4,-1,3,-5]=>[4,2,-1,3,-5]
[-2,-4,-1,-3,5]=>[2,-4,-1,-3,5]
[-2,-4,-1,-3,-5]=>[2,-4,-1,-3,-5]
[2,4,1,5,3]=>[5,-2,1,-4,3]
[2,4,1,5,-3]=>[-4,-2,5,1,-3]
[2,4,1,-5,3]=>[-2,4,-5,1,3]
[2,4,1,-5,-3]=>[5,-2,1,4,-3]
[2,4,-1,5,3]=>[5,-2,-1,-4,3]
[2,4,-1,5,-3]=>[-4,-2,5,-1,-3]
[2,4,-1,-5,3]=>[-2,4,-5,-1,3]
[2,4,-1,-5,-3]=>[5,-2,-1,4,-3]
[2,-4,1,5,3]=>[5,2,1,-4,3]
[2,-4,1,5,-3]=>[-4,2,5,1,-3]
[2,-4,1,-5,3]=>[2,4,-5,1,3]
[2,-4,1,-5,-3]=>[5,2,1,4,-3]
[2,-4,-1,5,3]=>[5,2,-1,-4,3]
[2,-4,-1,5,-3]=>[-4,2,5,-1,-3]
[2,-4,-1,-5,3]=>[2,4,-5,-1,3]
[2,-4,-1,-5,-3]=>[5,2,-1,4,-3]
[-2,4,1,5,3]=>[-5,-2,1,-4,3]
[-2,4,1,5,-3]=>[-2,-4,5,1,-3]
[-2,4,1,-5,3]=>[4,-2,-5,1,3]
[-2,4,1,-5,-3]=>[-5,-2,1,4,-3]
[-2,4,-1,5,3]=>[-5,-2,-1,-4,3]
[-2,4,-1,5,-3]=>[-2,-4,5,-1,-3]
[-2,4,-1,-5,3]=>[4,-2,-5,-1,3]
[-2,4,-1,-5,-3]=>[-5,-2,-1,4,-3]
[-2,-4,1,5,3]=>[-5,2,1,-4,3]
[-2,-4,1,5,-3]=>[2,-4,5,1,-3]
[-2,-4,1,-5,3]=>[4,2,-5,1,3]
[-2,-4,1,-5,-3]=>[-5,2,1,4,-3]
[-2,-4,-1,5,3]=>[-5,2,-1,-4,3]
[-2,-4,-1,5,-3]=>[2,-4,5,-1,-3]
[-2,-4,-1,-5,3]=>[4,2,-5,-1,3]
[-2,-4,-1,-5,-3]=>[-5,2,-1,4,-3]
[2,4,3,1,5]=>[3,-2,-4,1,5]
[2,4,3,1,-5]=>[3,-2,-4,1,-5]
[2,4,3,-1,5]=>[3,-2,-4,-1,5]
[2,4,3,-1,-5]=>[3,-2,-4,-1,-5]
[2,4,-3,1,5]=>[3,4,2,1,5]
[2,4,-3,1,-5]=>[3,4,2,1,-5]
[2,4,-3,-1,5]=>[3,4,2,-1,5]
[2,4,-3,-1,-5]=>[3,4,2,-1,-5]
[2,-4,3,1,5]=>[-2,3,-4,1,5]
[2,-4,3,1,-5]=>[-2,3,-4,1,-5]
[2,-4,3,-1,5]=>[-2,3,-4,-1,5]
[2,-4,3,-1,-5]=>[-2,3,-4,-1,-5]
[2,-4,-3,1,5]=>[3,2,4,1,5]
[2,-4,-3,1,-5]=>[3,2,4,1,-5]
[2,-4,-3,-1,5]=>[3,2,4,-1,5]
[2,-4,-3,-1,-5]=>[3,2,4,-1,-5]
[-2,4,3,1,5]=>[-3,-2,-4,1,5]
[-2,4,3,1,-5]=>[-3,-2,-4,1,-5]
[-2,4,3,-1,5]=>[-3,-2,-4,-1,5]
[-2,4,3,-1,-5]=>[-3,-2,-4,-1,-5]
[-2,4,-3,1,5]=>[2,-3,4,1,5]
[-2,4,-3,1,-5]=>[2,-3,4,1,-5]
[-2,4,-3,-1,5]=>[2,-3,4,-1,5]
[-2,4,-3,-1,-5]=>[2,-3,4,-1,-5]
[-2,-4,3,1,5]=>[-3,-4,-2,1,5]
[-2,-4,3,1,-5]=>[-3,-4,-2,1,-5]
[-2,-4,3,-1,5]=>[-3,-4,-2,-1,5]
[-2,-4,3,-1,-5]=>[-3,-4,-2,-1,-5]
[-2,-4,-3,1,5]=>[-3,2,4,1,5]
[-2,-4,-3,1,-5]=>[-3,2,4,1,-5]
[-2,-4,-3,-1,5]=>[-3,2,4,-1,5]
[-2,-4,-3,-1,-5]=>[-3,2,4,-1,-5]
[2,4,3,5,1]=>[3,-2,5,-4,1]
[2,4,3,5,-1]=>[3,-2,5,-4,-1]
[2,4,3,-5,1]=>[4,-5,2,3,1]
[2,4,3,-5,-1]=>[4,-5,2,3,-1]
[2,4,-3,5,1]=>[2,5,-4,-3,1]
[2,4,-3,5,-1]=>[2,5,-4,-3,-1]
[2,4,-3,-5,1]=>[3,4,-5,2,1]
[2,4,-3,-5,-1]=>[3,4,-5,2,-1]
[2,-4,3,5,1]=>[-2,3,5,-4,1]
[2,-4,3,5,-1]=>[-2,3,5,-4,-1]
[2,-4,3,-5,1]=>[-5,4,2,3,1]
[2,-4,3,-5,-1]=>[-5,4,2,3,-1]
[2,-4,-3,5,1]=>[4,5,-2,-3,1]
[2,-4,-3,5,-1]=>[4,5,-2,-3,-1]
[2,-4,-3,-5,1]=>[3,2,-5,4,1]
[2,-4,-3,-5,-1]=>[3,2,-5,4,-1]
[-2,4,3,5,1]=>[-3,-2,5,-4,1]
[-2,4,3,5,-1]=>[-3,-2,5,-4,-1]
[-2,4,3,-5,1]=>[-4,-5,2,3,1]
[-2,4,3,-5,-1]=>[-4,-5,2,3,-1]
[-2,4,-3,5,1]=>[5,-4,-2,-3,1]
[-2,4,-3,5,-1]=>[5,-4,-2,-3,-1]
[-2,4,-3,-5,1]=>[2,-3,-5,4,1]
[-2,4,-3,-5,-1]=>[2,-3,-5,4,-1]
[-2,-4,3,5,1]=>[-3,-4,5,-2,1]
[-2,-4,3,5,-1]=>[-3,-4,5,-2,-1]
[-2,-4,3,-5,1]=>[-2,-5,4,3,1]
[-2,-4,3,-5,-1]=>[-2,-5,4,3,-1]
[-2,-4,-3,5,1]=>[-4,5,-2,-3,1]
[-2,-4,-3,5,-1]=>[-4,5,-2,-3,-1]
[-2,-4,-3,-5,1]=>[-3,2,-5,4,1]
[-2,-4,-3,-5,-1]=>[-3,2,-5,4,-1]
[2,4,5,1,3]=>[-2,4,5,1,3]
[2,4,5,1,-3]=>[5,-4,-2,1,-3]
[2,4,5,-1,3]=>[-2,4,5,-1,3]
[2,4,5,-1,-3]=>[5,-4,-2,-1,-3]
[2,4,-5,1,3]=>[2,5,1,4,3]
[2,4,-5,1,-3]=>[-5,4,2,1,-3]
[2,4,-5,-1,3]=>[2,5,-1,4,3]
[2,4,-5,-1,-3]=>[-5,4,2,-1,-3]
[2,-4,5,1,3]=>[-2,-4,5,1,3]
[2,-4,5,1,-3]=>[-5,-2,1,-4,-3]
[2,-4,5,-1,3]=>[-2,-4,5,-1,3]
[2,-4,5,-1,-3]=>[-5,-2,-1,-4,-3]
[2,-4,-5,1,3]=>[5,4,2,1,3]
[2,-4,-5,1,-3]=>[-4,2,-5,1,-3]
[2,-4,-5,-1,3]=>[5,4,2,-1,3]
[2,-4,-5,-1,-3]=>[-4,2,-5,-1,-3]
[-2,4,5,1,3]=>[4,-2,5,1,3]
[-2,4,5,1,-3]=>[-5,-4,-2,1,-3]
[-2,4,5,-1,3]=>[4,-2,5,-1,3]
[-2,4,5,-1,-3]=>[-5,-4,-2,-1,-3]
[-2,4,-5,1,3]=>[5,2,1,4,3]
[-2,4,-5,1,-3]=>[2,4,-5,1,-3]
[-2,4,-5,-1,3]=>[5,2,-1,4,3]
[-2,4,-5,-1,-3]=>[2,4,-5,-1,-3]
[-2,-4,5,1,3]=>[5,-4,-2,1,3]
[-2,-4,5,1,-3]=>[-2,-5,1,-4,-3]
[-2,-4,5,-1,3]=>[5,-4,-2,-1,3]
[-2,-4,5,-1,-3]=>[-2,-5,-1,-4,-3]
[-2,-4,-5,1,3]=>[-5,4,2,1,3]
[-2,-4,-5,1,-3]=>[2,-4,-5,1,-3]
[-2,-4,-5,-1,3]=>[-5,4,2,-1,3]
[-2,-4,-5,-1,-3]=>[2,-4,-5,-1,-3]
[2,4,5,3,1]=>[5,3,-2,-4,1]
[2,4,5,3,-1]=>[5,3,-2,-4,-1]
[2,4,5,-3,1]=>[3,4,5,2,1]
[2,4,5,-3,-1]=>[3,4,5,2,-1]
[2,4,-5,3,1]=>[-2,4,3,-5,1]
[2,4,-5,3,-1]=>[-2,4,3,-5,-1]
[2,4,-5,-3,1]=>[3,2,5,4,1]
[2,4,-5,-3,-1]=>[3,2,5,4,-1]
[2,-4,5,3,1]=>[3,-2,-5,-4,1]
[2,-4,5,3,-1]=>[3,-2,-5,-4,-1]
[2,-4,5,-3,1]=>[4,5,-3,2,1]
[2,-4,5,-3,-1]=>[4,5,-3,2,-1]
[2,-4,-5,3,1]=>[-2,-4,3,-5,1]
[2,-4,-5,3,-1]=>[-2,-4,3,-5,-1]
[2,-4,-5,-3,1]=>[5,-3,2,4,1]
[2,-4,-5,-3,-1]=>[5,-3,2,4,-1]
[-2,4,5,3,1]=>[-5,3,-2,-4,1]
[-2,4,5,3,-1]=>[-5,3,-2,-4,-1]
[-2,4,5,-3,1]=>[2,4,-3,5,1]
[-2,4,5,-3,-1]=>[2,4,-3,5,-1]
[-2,4,-5,3,1]=>[-4,-5,3,-2,1]
[-2,4,-5,3,-1]=>[-4,-5,3,-2,-1]
[-2,4,-5,-3,1]=>[-3,2,5,4,1]
[-2,4,-5,-3,-1]=>[-3,2,5,4,-1]
[-2,-4,5,3,1]=>[-3,-2,-5,-4,1]
[-2,-4,5,3,-1]=>[-3,-2,-5,-4,-1]
[-2,-4,5,-3,1]=>[2,-4,-3,5,1]
[-2,-4,5,-3,-1]=>[2,-4,-3,5,-1]
[-2,-4,-5,3,1]=>[-3,-4,-5,-2,1]
[-2,-4,-5,3,-1]=>[-3,-4,-5,-2,-1]
[-2,-4,-5,-3,1]=>[-5,-3,2,4,1]
[-2,-4,-5,-3,-1]=>[-5,-3,2,4,-1]
[2,5,1,3,4]=>[-2,1,5,3,4]
[2,5,1,3,-4]=>[5,-2,1,3,-4]
[2,5,1,-3,4]=>[5,-2,1,-3,4]
[2,5,1,-3,-4]=>[-2,-5,1,-3,-4]
[2,5,-1,3,4]=>[-2,-1,5,3,4]
[2,5,-1,3,-4]=>[5,-2,-1,3,-4]
[2,5,-1,-3,4]=>[5,-2,-1,-3,4]
[2,5,-1,-3,-4]=>[-2,-5,-1,-3,-4]
[2,-5,1,3,4]=>[2,1,5,3,4]
[2,-5,1,3,-4]=>[5,2,1,3,-4]
[2,-5,1,-3,4]=>[5,2,1,-3,4]
[2,-5,1,-3,-4]=>[2,-5,1,-3,-4]
[2,-5,-1,3,4]=>[2,-1,5,3,4]
[2,-5,-1,3,-4]=>[5,2,-1,3,-4]
[2,-5,-1,-3,4]=>[5,2,-1,-3,4]
[2,-5,-1,-3,-4]=>[2,-5,-1,-3,-4]
[-2,5,1,3,4]=>[-2,5,1,3,4]
[-2,5,1,3,-4]=>[-5,-2,1,3,-4]
[-2,5,1,-3,4]=>[-5,-2,1,-3,4]
[-2,5,1,-3,-4]=>[-2,1,-5,-3,-4]
[-2,5,-1,3,4]=>[-2,5,-1,3,4]
[-2,5,-1,3,-4]=>[-5,-2,-1,3,-4]
[-2,5,-1,-3,4]=>[-5,-2,-1,-3,4]
[-2,5,-1,-3,-4]=>[-2,-1,-5,-3,-4]
[-2,-5,1,3,4]=>[2,5,1,3,4]
[-2,-5,1,3,-4]=>[-5,2,1,3,-4]
[-2,-5,1,-3,4]=>[-5,2,1,-3,4]
[-2,-5,1,-3,-4]=>[2,1,-5,-3,-4]
[-2,-5,-1,3,4]=>[2,5,-1,3,4]
[-2,-5,-1,3,-4]=>[-5,2,-1,3,-4]
[-2,-5,-1,-3,4]=>[-5,2,-1,-3,4]
[-2,-5,-1,-3,-4]=>[2,-1,-5,-3,-4]
[2,5,1,4,3]=>[-2,4,1,-5,3]
[2,5,1,4,-3]=>[5,-2,4,1,-3]
[2,5,1,-4,3]=>[5,-2,-4,1,3]
[2,5,1,-4,-3]=>[-4,-2,1,5,-3]
[2,5,-1,4,3]=>[-2,4,-1,-5,3]
[2,5,-1,4,-3]=>[5,-2,4,-1,-3]
[2,5,-1,-4,3]=>[5,-2,-4,-1,3]
[2,5,-1,-4,-3]=>[-4,-2,-1,5,-3]
[2,-5,1,4,3]=>[2,4,1,-5,3]
[2,-5,1,4,-3]=>[5,2,4,1,-3]
[2,-5,1,-4,3]=>[5,2,-4,1,3]
[2,-5,1,-4,-3]=>[-4,2,1,5,-3]
[2,-5,-1,4,3]=>[2,4,-1,-5,3]
[2,-5,-1,4,-3]=>[5,2,4,-1,-3]
[2,-5,-1,-4,3]=>[5,2,-4,-1,3]
[2,-5,-1,-4,-3]=>[-4,2,-1,5,-3]
[-2,5,1,4,3]=>[4,-2,1,-5,3]
[-2,5,1,4,-3]=>[-5,-2,4,1,-3]
[-2,5,1,-4,3]=>[-5,-2,-4,1,3]
[-2,5,1,-4,-3]=>[-2,-4,1,5,-3]
[-2,5,-1,4,3]=>[4,-2,-1,-5,3]
[-2,5,-1,4,-3]=>[-5,-2,4,-1,-3]
[-2,5,-1,-4,3]=>[-5,-2,-4,-1,3]
[-2,5,-1,-4,-3]=>[-2,-4,-1,5,-3]
[-2,-5,1,4,3]=>[4,2,1,-5,3]
[-2,-5,1,4,-3]=>[-5,2,4,1,-3]
[-2,-5,1,-4,3]=>[-5,2,-4,1,3]
[-2,-5,1,-4,-3]=>[2,-4,1,5,-3]
[-2,-5,-1,4,3]=>[4,2,-1,-5,3]
[-2,-5,-1,4,-3]=>[-5,2,4,-1,-3]
[-2,-5,-1,-4,3]=>[-5,2,-4,-1,3]
[-2,-5,-1,-4,-3]=>[2,-4,-1,5,-3]
[2,5,3,1,4]=>[3,-5,-2,1,4]
[2,5,3,1,-4]=>[3,-2,1,-5,-4]
[2,5,3,-1,4]=>[3,-5,-2,-1,4]
[2,5,3,-1,-4]=>[3,-2,-1,-5,-4]
[2,5,-3,1,4]=>[3,2,5,1,4]
[2,5,-3,1,-4]=>[5,3,2,1,-4]
[2,5,-3,-1,4]=>[3,2,5,-1,4]
[2,5,-3,-1,-4]=>[5,3,2,-1,-4]
[2,-5,3,1,4]=>[-2,-5,3,1,4]
[2,-5,3,1,-4]=>[-2,3,1,-5,-4]
[2,-5,3,-1,4]=>[-2,-5,3,-1,4]
[2,-5,3,-1,-4]=>[-2,3,-1,-5,-4]
[2,-5,-3,1,4]=>[3,2,1,5,4]
[2,-5,-3,1,-4]=>[3,5,2,1,-4]
[2,-5,-3,-1,4]=>[3,2,-1,5,4]
[2,-5,-3,-1,-4]=>[3,5,2,-1,-4]
[-2,5,3,1,4]=>[-3,-5,-2,1,4]
[-2,5,3,1,-4]=>[-3,-2,1,-5,-4]
[-2,5,3,-1,4]=>[-3,-5,-2,-1,4]
[-2,5,3,-1,-4]=>[-3,-2,-1,-5,-4]
[-2,5,-3,1,4]=>[2,-3,1,5,4]
[-2,5,-3,1,-4]=>[2,5,-3,1,-4]
[-2,5,-3,-1,4]=>[2,-3,-1,5,4]
[-2,5,-3,-1,-4]=>[2,5,-3,-1,-4]
[-2,-5,3,1,4]=>[-5,-3,-2,1,4]
[-2,-5,3,1,-4]=>[-3,-2,-5,1,-4]
[-2,-5,3,-1,4]=>[-5,-3,-2,-1,4]
[-2,-5,3,-1,-4]=>[-3,-2,-5,-1,-4]
[-2,-5,-3,1,4]=>[-3,2,1,5,4]
[-2,-5,-3,1,-4]=>[-3,5,2,1,-4]
[-2,-5,-3,-1,4]=>[-3,2,-1,5,4]
[-2,-5,-3,-1,-4]=>[-3,5,2,-1,-4]
[2,5,3,4,1]=>[-2,3,4,-5,1]
[2,5,3,4,-1]=>[-2,3,4,-5,-1]
[2,5,3,-4,1]=>[5,2,-4,3,1]
[2,5,3,-4,-1]=>[5,2,-4,3,-1]
[2,5,-3,4,1]=>[5,4,-2,-3,1]
[2,5,-3,4,-1]=>[5,4,-2,-3,-1]
[2,5,-3,-4,1]=>[-3,5,-4,2,1]
[2,5,-3,-4,-1]=>[-3,5,-4,2,-1]
[2,-5,3,4,1]=>[2,3,4,-5,1]
[2,-5,3,4,-1]=>[2,3,4,-5,-1]
[2,-5,3,-4,1]=>[5,-4,2,3,1]
[2,-5,3,-4,-1]=>[5,-4,2,3,-1]
[2,-5,-3,4,1]=>[5,-2,4,-3,1]
[2,-5,-3,4,-1]=>[5,-2,4,-3,-1]
[2,-5,-3,-4,1]=>[3,5,-4,2,1]
[2,-5,-3,-4,-1]=>[3,5,-4,2,-1]
[-2,5,3,4,1]=>[-3,-5,4,-2,1]
[-2,5,3,4,-1]=>[-3,-5,4,-2,-1]
[-2,5,3,-4,1]=>[-5,2,-4,3,1]
[-2,5,3,-4,-1]=>[-5,2,-4,3,-1]
[-2,5,-3,4,1]=>[-5,4,-2,-3,1]
[-2,5,-3,4,-1]=>[-5,4,-2,-3,-1]
[-2,5,-3,-4,1]=>[-2,-3,-4,5,1]
[-2,5,-3,-4,-1]=>[-2,-3,-4,5,-1]
[-2,-5,3,4,1]=>[3,-5,4,-2,1]
[-2,-5,3,4,-1]=>[3,-5,4,-2,-1]
[-2,-5,3,-4,1]=>[-5,-4,2,3,1]
[-2,-5,3,-4,-1]=>[-5,-4,2,3,-1]
[-2,-5,-3,4,1]=>[-5,-2,4,-3,1]
[-2,-5,-3,4,-1]=>[-5,-2,4,-3,-1]
[-2,-5,-3,-4,1]=>[2,-3,-4,5,1]
[-2,-5,-3,-4,-1]=>[2,-3,-4,5,-1]
[2,5,4,1,3]=>[-2,-5,4,1,3]
[2,5,4,1,-3]=>[-4,-2,1,-5,-3]
[2,5,4,-1,3]=>[-2,-5,4,-1,3]
[2,5,4,-1,-3]=>[-4,-2,-1,-5,-3]
[2,5,-4,1,3]=>[2,4,5,1,3]
[2,5,-4,1,-3]=>[5,-4,2,1,-3]
[2,5,-4,-1,3]=>[2,4,5,-1,3]
[2,5,-4,-1,-3]=>[5,-4,2,-1,-3]
[2,-5,4,1,3]=>[-5,-2,4,1,3]
[2,-5,4,1,-3]=>[4,-2,1,-5,-3]
[2,-5,4,-1,3]=>[-5,-2,4,-1,3]
[2,-5,4,-1,-3]=>[4,-2,-1,-5,-3]
[2,-5,-4,1,3]=>[2,4,1,5,3]
[2,-5,-4,1,-3]=>[-4,5,2,1,-3]
[2,-5,-4,-1,3]=>[2,4,-1,5,3]
[2,-5,-4,-1,-3]=>[-4,5,2,-1,-3]
[-2,5,4,1,3]=>[4,-5,-2,1,3]
[-2,5,4,1,-3]=>[-2,-4,1,-5,-3]
[-2,5,4,-1,3]=>[4,-5,-2,-1,3]
[-2,5,4,-1,-3]=>[-2,-4,-1,-5,-3]
[-2,5,-4,1,3]=>[-4,2,1,5,3]
[-2,5,-4,1,-3]=>[5,2,-4,1,-3]
[-2,5,-4,-1,3]=>[-4,2,-1,5,3]
[-2,5,-4,-1,-3]=>[5,2,-4,-1,-3]
[-2,-5,4,1,3]=>[-5,4,-2,1,3]
[-2,-5,4,1,-3]=>[-2,-4,-5,1,-3]
[-2,-5,4,-1,3]=>[-5,4,-2,-1,3]
[-2,-5,4,-1,-3]=>[-2,-4,-5,-1,-3]
[-2,-5,-4,1,3]=>[4,2,1,5,3]
[-2,-5,-4,1,-3]=>[2,5,-4,1,-3]
[-2,-5,-4,-1,3]=>[4,2,-1,5,3]
[-2,-5,-4,-1,-3]=>[2,5,-4,-1,-3]
[2,5,4,3,1]=>[3,-2,-4,-5,1]
[2,5,4,3,-1]=>[3,-2,-4,-5,-1]
[2,5,4,-3,1]=>[5,4,-3,2,1]
[2,5,4,-3,-1]=>[5,4,-3,2,-1]
[2,5,-4,3,1]=>[5,-2,3,-4,1]
[2,5,-4,3,-1]=>[5,-2,3,-4,-1]
[2,5,-4,-3,1]=>[3,4,2,5,1]
[2,5,-4,-3,-1]=>[3,4,2,5,-1]
[2,-5,4,3,1]=>[-2,3,-4,-5,1]
[2,-5,4,3,-1]=>[-2,3,-4,-5,-1]
[2,-5,4,-3,1]=>[5,2,-3,4,1]
[2,-5,4,-3,-1]=>[5,2,-3,4,-1]
[2,-5,-4,3,1]=>[-2,5,3,-4,1]
[2,-5,-4,3,-1]=>[-2,5,3,-4,-1]
[2,-5,-4,-3,1]=>[3,2,4,5,1]
[2,-5,-4,-3,-1]=>[3,2,4,5,-1]
[-2,5,4,3,1]=>[-3,-2,-4,-5,1]
[-2,5,4,3,-1]=>[-3,-2,-4,-5,-1]
[-2,5,4,-3,1]=>[2,-5,-3,4,1]
[-2,5,4,-3,-1]=>[2,-5,-3,4,-1]
[-2,5,-4,3,1]=>[-5,-2,3,-4,1]
[-2,5,-4,3,-1]=>[-5,-2,3,-4,-1]
[-2,5,-4,-3,1]=>[2,-3,4,5,1]
[-2,5,-4,-3,-1]=>[2,-3,4,5,-1]
[-2,-5,4,3,1]=>[-3,-4,-2,-5,1]
[-2,-5,4,3,-1]=>[-3,-4,-2,-5,-1]
[-2,-5,4,-3,1]=>[-5,2,-3,4,1]
[-2,-5,4,-3,-1]=>[-5,2,-3,4,-1]
[-2,-5,-4,3,1]=>[-5,-4,3,-2,1]
[-2,-5,-4,3,-1]=>[-5,-4,3,-2,-1]
[-2,-5,-4,-3,1]=>[-3,2,4,5,1]
[-2,-5,-4,-3,-1]=>[-3,2,4,5,-1]
[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,4,-5]=>[3,1,2,4,-5]
[3,1,2,-4,5]=>[3,1,2,-4,5]
[3,1,2,-4,-5]=>[3,1,2,-4,-5]
[3,1,-2,4,5]=>[1,-3,-2,4,5]
[3,1,-2,4,-5]=>[1,-3,-2,4,-5]
[3,1,-2,-4,5]=>[1,-3,-2,-4,5]
[3,1,-2,-4,-5]=>[1,-3,-2,-4,-5]
[3,-1,2,4,5]=>[3,-1,2,4,5]
[3,-1,2,4,-5]=>[3,-1,2,4,-5]
[3,-1,2,-4,5]=>[3,-1,2,-4,5]
[3,-1,2,-4,-5]=>[3,-1,2,-4,-5]
[3,-1,-2,4,5]=>[-1,-3,-2,4,5]
[3,-1,-2,4,-5]=>[-1,-3,-2,4,-5]
[3,-1,-2,-4,5]=>[-1,-3,-2,-4,5]
[3,-1,-2,-4,-5]=>[-1,-3,-2,-4,-5]
[-3,1,2,4,5]=>[1,3,2,4,5]
[-3,1,2,4,-5]=>[1,3,2,4,-5]
[-3,1,2,-4,5]=>[1,3,2,-4,5]
[-3,1,2,-4,-5]=>[1,3,2,-4,-5]
[-3,1,-2,4,5]=>[-3,1,-2,4,5]
[-3,1,-2,4,-5]=>[-3,1,-2,4,-5]
[-3,1,-2,-4,5]=>[-3,1,-2,-4,5]
[-3,1,-2,-4,-5]=>[-3,1,-2,-4,-5]
[-3,-1,2,4,5]=>[-1,3,2,4,5]
[-3,-1,2,4,-5]=>[-1,3,2,4,-5]
[-3,-1,2,-4,5]=>[-1,3,2,-4,5]
[-3,-1,2,-4,-5]=>[-1,3,2,-4,-5]
[-3,-1,-2,4,5]=>[-3,-1,-2,4,5]
[-3,-1,-2,4,-5]=>[-3,-1,-2,4,-5]
[-3,-1,-2,-4,5]=>[-3,-1,-2,-4,5]
[-3,-1,-2,-4,-5]=>[-3,-1,-2,-4,-5]
[3,1,2,5,4]=>[3,1,2,-5,4]
[3,1,2,5,-4]=>[3,1,5,2,-4]
[3,1,2,-5,4]=>[3,1,-5,2,4]
[3,1,2,-5,-4]=>[3,1,2,5,-4]
[3,1,-2,5,4]=>[1,-3,-2,-5,4]
[3,1,-2,5,-4]=>[1,-3,5,-2,-4]
[3,1,-2,-5,4]=>[1,-3,-5,-2,4]
[3,1,-2,-5,-4]=>[1,-3,-2,5,-4]
[3,-1,2,5,4]=>[3,-1,2,-5,4]
[3,-1,2,5,-4]=>[3,-1,5,2,-4]
[3,-1,2,-5,4]=>[3,-1,-5,2,4]
[3,-1,2,-5,-4]=>[3,-1,2,5,-4]
[3,-1,-2,5,4]=>[-1,-3,-2,-5,4]
[3,-1,-2,5,-4]=>[-1,-3,5,-2,-4]
[3,-1,-2,-5,4]=>[-1,-3,-5,-2,4]
[3,-1,-2,-5,-4]=>[-1,-3,-2,5,-4]
[-3,1,2,5,4]=>[1,3,2,-5,4]
[-3,1,2,5,-4]=>[1,3,5,2,-4]
[-3,1,2,-5,4]=>[1,3,-5,2,4]
[-3,1,2,-5,-4]=>[1,3,2,5,-4]
[-3,1,-2,5,4]=>[-3,1,-2,-5,4]
[-3,1,-2,5,-4]=>[-3,1,5,-2,-4]
[-3,1,-2,-5,4]=>[-3,1,-5,-2,4]
[-3,1,-2,-5,-4]=>[-3,1,-2,5,-4]
[-3,-1,2,5,4]=>[-1,3,2,-5,4]
[-3,-1,2,5,-4]=>[-1,3,5,2,-4]
[-3,-1,2,-5,4]=>[-1,3,-5,2,4]
[-3,-1,2,-5,-4]=>[-1,3,2,5,-4]
[-3,-1,-2,5,4]=>[-3,-1,-2,-5,4]
[-3,-1,-2,5,-4]=>[-3,-1,5,-2,-4]
[-3,-1,-2,-5,4]=>[-3,-1,-5,-2,4]
[-3,-1,-2,-5,-4]=>[-3,-1,-2,5,-4]
[3,1,4,2,5]=>[-4,1,-3,2,5]
[3,1,4,2,-5]=>[-4,1,-3,2,-5]
[3,1,4,-2,5]=>[1,4,-3,-2,5]
[3,1,4,-2,-5]=>[1,4,-3,-2,-5]
[3,1,-4,2,5]=>[3,-4,1,2,5]
[3,1,-4,2,-5]=>[3,-4,1,2,-5]
[3,1,-4,-2,5]=>[-4,1,3,-2,5]
[3,1,-4,-2,-5]=>[-4,1,3,-2,-5]
[3,-1,4,2,5]=>[-4,-1,-3,2,5]
[3,-1,4,2,-5]=>[-4,-1,-3,2,-5]
[3,-1,4,-2,5]=>[-1,4,-3,-2,5]
[3,-1,4,-2,-5]=>[-1,4,-3,-2,-5]
[3,-1,-4,2,5]=>[3,-4,-1,2,5]
[3,-1,-4,2,-5]=>[3,-4,-1,2,-5]
[3,-1,-4,-2,5]=>[-4,-1,3,-2,5]
[3,-1,-4,-2,-5]=>[-4,-1,3,-2,-5]
[-3,1,4,2,5]=>[4,1,-3,2,5]
[-3,1,4,2,-5]=>[4,1,-3,2,-5]
[-3,1,4,-2,5]=>[-3,4,1,-2,5]
[-3,1,4,-2,-5]=>[-3,4,1,-2,-5]
[-3,1,-4,2,5]=>[1,-4,3,2,5]
[-3,1,-4,2,-5]=>[1,-4,3,2,-5]
[-3,1,-4,-2,5]=>[4,1,3,-2,5]
[-3,1,-4,-2,-5]=>[4,1,3,-2,-5]
[-3,-1,4,2,5]=>[4,-1,-3,2,5]
[-3,-1,4,2,-5]=>[4,-1,-3,2,-5]
[-3,-1,4,-2,5]=>[-3,4,-1,-2,5]
[-3,-1,4,-2,-5]=>[-3,4,-1,-2,-5]
[-3,-1,-4,2,5]=>[-1,-4,3,2,5]
[-3,-1,-4,2,-5]=>[-1,-4,3,2,-5]
[-3,-1,-4,-2,5]=>[4,-1,3,-2,5]
[-3,-1,-4,-2,-5]=>[4,-1,3,-2,-5]
[3,1,4,5,2]=>[-4,1,5,-3,2]
[3,1,4,5,-2]=>[1,4,5,-3,-2]
[3,1,4,-5,2]=>[3,-5,1,4,2]
[3,1,4,-5,-2]=>[-5,1,3,4,-2]
[3,1,-4,5,2]=>[-5,1,-3,-4,2]
[3,1,-4,5,-2]=>[1,5,-3,-4,-2]
[3,1,-4,-5,2]=>[3,-4,-5,1,2]
[3,1,-4,-5,-2]=>[-4,1,-5,3,-2]
[3,-1,4,5,2]=>[-4,-1,5,-3,2]
[3,-1,4,5,-2]=>[-1,4,5,-3,-2]
[3,-1,4,-5,2]=>[3,-5,-1,4,2]
[3,-1,4,-5,-2]=>[-5,-1,3,4,-2]
[3,-1,-4,5,2]=>[-5,-1,-3,-4,2]
[3,-1,-4,5,-2]=>[-1,5,-3,-4,-2]
[3,-1,-4,-5,2]=>[3,-4,-5,-1,2]
[3,-1,-4,-5,-2]=>[-4,-1,-5,3,-2]
[-3,1,4,5,2]=>[4,1,5,-3,2]
[-3,1,4,5,-2]=>[-3,4,5,1,-2]
[-3,1,4,-5,2]=>[1,-5,3,4,2]
[-3,1,4,-5,-2]=>[5,1,3,4,-2]
[-3,1,-4,5,2]=>[5,1,-3,-4,2]
[-3,1,-4,5,-2]=>[-3,5,1,-4,-2]
[-3,1,-4,-5,2]=>[1,-4,-5,3,2]
[-3,1,-4,-5,-2]=>[4,1,-5,3,-2]
[-3,-1,4,5,2]=>[4,-1,5,-3,2]
[-3,-1,4,5,-2]=>[-3,4,5,-1,-2]
[-3,-1,4,-5,2]=>[-1,-5,3,4,2]
[-3,-1,4,-5,-2]=>[5,-1,3,4,-2]
[-3,-1,-4,5,2]=>[5,-1,-3,-4,2]
[-3,-1,-4,5,-2]=>[-3,5,-1,-4,-2]
[-3,-1,-4,-5,2]=>[-1,-4,-5,3,2]
[-3,-1,-4,-5,-2]=>[4,-1,-5,3,-2]
[3,1,5,2,4]=>[5,1,-3,2,4]
[3,1,5,2,-4]=>[1,-5,-3,2,-4]
[3,1,5,-2,4]=>[1,-3,5,-2,4]
[3,1,5,-2,-4]=>[5,1,-3,-2,-4]
[3,1,-5,2,4]=>[-5,3,1,2,4]
[3,1,-5,2,-4]=>[3,1,-5,2,-4]
[3,1,-5,-2,4]=>[5,1,3,-2,4]
[3,1,-5,-2,-4]=>[1,-5,3,-2,-4]
[3,-1,5,2,4]=>[5,-1,-3,2,4]
[3,-1,5,2,-4]=>[-1,-5,-3,2,-4]
[3,-1,5,-2,4]=>[-1,-3,5,-2,4]
[3,-1,5,-2,-4]=>[5,-1,-3,-2,-4]
[3,-1,-5,2,4]=>[-5,3,-1,2,4]
[3,-1,-5,2,-4]=>[3,-1,-5,2,-4]
[3,-1,-5,-2,4]=>[5,-1,3,-2,4]
[3,-1,-5,-2,-4]=>[-1,-5,3,-2,-4]
[-3,1,5,2,4]=>[1,5,-3,2,4]
[-3,1,5,2,-4]=>[-5,1,-3,2,-4]
[-3,1,5,-2,4]=>[-3,1,5,-2,4]
[-3,1,5,-2,-4]=>[5,-3,1,-2,-4]
[-3,1,-5,2,4]=>[-5,1,3,2,4]
[-3,1,-5,2,-4]=>[1,3,-5,2,-4]
[-3,1,-5,-2,4]=>[1,5,3,-2,4]
[-3,1,-5,-2,-4]=>[-5,1,3,-2,-4]
[-3,-1,5,2,4]=>[-1,5,-3,2,4]
[-3,-1,5,2,-4]=>[-5,-1,-3,2,-4]
[-3,-1,5,-2,4]=>[-3,-1,5,-2,4]
[-3,-1,5,-2,-4]=>[5,-3,-1,-2,-4]
[-3,-1,-5,2,4]=>[-5,-1,3,2,4]
[-3,-1,-5,2,-4]=>[-1,3,-5,2,-4]
[-3,-1,-5,-2,4]=>[-1,5,3,-2,4]
[-3,-1,-5,-2,-4]=>[-5,-1,3,-2,-4]
[3,1,5,4,2]=>[-4,1,-3,-5,2]
[3,1,5,4,-2]=>[1,4,-3,-5,-2]
[3,1,5,-4,2]=>[3,1,-4,5,2]
[3,1,5,-4,-2]=>[-4,3,1,5,-2]
[3,1,-5,4,2]=>[-4,-3,1,-5,2]
[3,1,-5,4,-2]=>[1,-3,4,-5,-2]
[3,1,-5,-4,2]=>[3,-4,1,5,2]
[3,1,-5,-4,-2]=>[-4,1,3,5,-2]
[3,-1,5,4,2]=>[-4,-1,-3,-5,2]
[3,-1,5,4,-2]=>[-1,4,-3,-5,-2]
[3,-1,5,-4,2]=>[3,-1,-4,5,2]
[3,-1,5,-4,-2]=>[-4,3,-1,5,-2]
[3,-1,-5,4,2]=>[-4,-3,-1,-5,2]
[3,-1,-5,4,-2]=>[-1,-3,4,-5,-2]
[3,-1,-5,-4,2]=>[3,-4,-1,5,2]
[3,-1,-5,-4,-2]=>[-4,-1,3,5,-2]
[-3,1,5,4,2]=>[4,1,-3,-5,2]
[-3,1,5,4,-2]=>[-3,4,1,-5,-2]
[-3,1,5,-4,2]=>[1,3,-4,5,2]
[-3,1,5,-4,-2]=>[4,3,1,5,-2]
[-3,1,-5,4,2]=>[4,-3,1,-5,2]
[-3,1,-5,4,-2]=>[-3,1,4,-5,-2]
[-3,1,-5,-4,2]=>[1,-4,3,5,2]
[-3,1,-5,-4,-2]=>[4,1,3,5,-2]
[-3,-1,5,4,2]=>[4,-1,-3,-5,2]
[-3,-1,5,4,-2]=>[-3,4,-1,-5,-2]
[-3,-1,5,-4,2]=>[-1,3,-4,5,2]
[-3,-1,5,-4,-2]=>[4,3,-1,5,-2]
[-3,-1,-5,4,2]=>[4,-3,-1,-5,2]
[-3,-1,-5,4,-2]=>[-3,-1,4,-5,-2]
[-3,-1,-5,-4,2]=>[-1,-4,3,5,2]
[-3,-1,-5,-4,-2]=>[4,-1,3,5,-2]
[3,2,1,4,5]=>[-2,-3,1,4,5]
[3,2,1,4,-5]=>[-2,-3,1,4,-5]
[3,2,1,-4,5]=>[-2,-3,1,-4,5]
[3,2,1,-4,-5]=>[-2,-3,1,-4,-5]
[3,2,-1,4,5]=>[-2,-3,-1,4,5]
[3,2,-1,4,-5]=>[-2,-3,-1,4,-5]
[3,2,-1,-4,5]=>[-2,-3,-1,-4,5]
[3,2,-1,-4,-5]=>[-2,-3,-1,-4,-5]
[3,-2,1,4,5]=>[-2,3,1,4,5]
[3,-2,1,4,-5]=>[-2,3,1,4,-5]
[3,-2,1,-4,5]=>[-2,3,1,-4,5]
[3,-2,1,-4,-5]=>[-2,3,1,-4,-5]
[3,-2,-1,4,5]=>[-2,3,-1,4,5]
[3,-2,-1,4,-5]=>[-2,3,-1,4,-5]
[3,-2,-1,-4,5]=>[-2,3,-1,-4,5]
[3,-2,-1,-4,-5]=>[-2,3,-1,-4,-5]
[-3,2,1,4,5]=>[2,-3,1,4,5]
[-3,2,1,4,-5]=>[2,-3,1,4,-5]
[-3,2,1,-4,5]=>[2,-3,1,-4,5]
[-3,2,1,-4,-5]=>[2,-3,1,-4,-5]
[-3,2,-1,4,5]=>[2,-3,-1,4,5]
[-3,2,-1,4,-5]=>[2,-3,-1,4,-5]
[-3,2,-1,-4,5]=>[2,-3,-1,-4,5]
[-3,2,-1,-4,-5]=>[2,-3,-1,-4,-5]
[-3,-2,1,4,5]=>[2,3,1,4,5]
[-3,-2,1,4,-5]=>[2,3,1,4,-5]
[-3,-2,1,-4,5]=>[2,3,1,-4,5]
[-3,-2,1,-4,-5]=>[2,3,1,-4,-5]
[-3,-2,-1,4,5]=>[2,3,-1,4,5]
[-3,-2,-1,4,-5]=>[2,3,-1,4,-5]
[-3,-2,-1,-4,5]=>[2,3,-1,-4,5]
[-3,-2,-1,-4,-5]=>[2,3,-1,-4,-5]
[3,2,1,5,4]=>[-2,-3,1,-5,4]
[3,2,1,5,-4]=>[-2,-3,5,1,-4]
[3,2,1,-5,4]=>[-2,-3,-5,1,4]
[3,2,1,-5,-4]=>[-2,-3,1,5,-4]
[3,2,-1,5,4]=>[-2,-3,-1,-5,4]
[3,2,-1,5,-4]=>[-2,-3,5,-1,-4]
[3,2,-1,-5,4]=>[-2,-3,-5,-1,4]
[3,2,-1,-5,-4]=>[-2,-3,-1,5,-4]
[3,-2,1,5,4]=>[-2,3,1,-5,4]
[3,-2,1,5,-4]=>[-2,3,5,1,-4]
[3,-2,1,-5,4]=>[-2,3,-5,1,4]
[3,-2,1,-5,-4]=>[-2,3,1,5,-4]
[3,-2,-1,5,4]=>[-2,3,-1,-5,4]
[3,-2,-1,5,-4]=>[-2,3,5,-1,-4]
[3,-2,-1,-5,4]=>[-2,3,-5,-1,4]
[3,-2,-1,-5,-4]=>[-2,3,-1,5,-4]
[-3,2,1,5,4]=>[2,-3,1,-5,4]
[-3,2,1,5,-4]=>[2,-3,5,1,-4]
[-3,2,1,-5,4]=>[2,-3,-5,1,4]
[-3,2,1,-5,-4]=>[2,-3,1,5,-4]
[-3,2,-1,5,4]=>[2,-3,-1,-5,4]
[-3,2,-1,5,-4]=>[2,-3,5,-1,-4]
[-3,2,-1,-5,4]=>[2,-3,-5,-1,4]
[-3,2,-1,-5,-4]=>[2,-3,-1,5,-4]
[-3,-2,1,5,4]=>[2,3,1,-5,4]
[-3,-2,1,5,-4]=>[2,3,5,1,-4]
[-3,-2,1,-5,4]=>[2,3,-5,1,4]
[-3,-2,1,-5,-4]=>[2,3,1,5,-4]
[-3,-2,-1,5,4]=>[2,3,-1,-5,4]
[-3,-2,-1,5,-4]=>[2,3,5,-1,-4]
[-3,-2,-1,-5,4]=>[2,3,-5,-1,4]
[-3,-2,-1,-5,-4]=>[2,3,-1,5,-4]
[3,2,4,1,5]=>[-2,4,-3,1,5]
[3,2,4,1,-5]=>[-2,4,-3,1,-5]
[3,2,4,-1,5]=>[-2,4,-3,-1,5]
[3,2,4,-1,-5]=>[-2,4,-3,-1,-5]
[3,2,-4,1,5]=>[-4,3,2,1,5]
[3,2,-4,1,-5]=>[-4,3,2,1,-5]
[3,2,-4,-1,5]=>[-4,3,2,-1,5]
[3,2,-4,-1,-5]=>[-4,3,2,-1,-5]
[3,-2,4,1,5]=>[-4,-3,-2,1,5]
[3,-2,4,1,-5]=>[-4,-3,-2,1,-5]
[3,-2,4,-1,5]=>[-4,-3,-2,-1,5]
[3,-2,4,-1,-5]=>[-4,-3,-2,-1,-5]
[3,-2,-4,1,5]=>[-2,-4,3,1,5]
[3,-2,-4,1,-5]=>[-2,-4,3,1,-5]
[3,-2,-4,-1,5]=>[-2,-4,3,-1,5]
[3,-2,-4,-1,-5]=>[-2,-4,3,-1,-5]
[-3,2,4,1,5]=>[2,4,-3,1,5]
[-3,2,4,1,-5]=>[2,4,-3,1,-5]
[-3,2,4,-1,5]=>[2,4,-3,-1,5]
[-3,2,4,-1,-5]=>[2,4,-3,-1,-5]
[-3,2,-4,1,5]=>[4,3,2,1,5]
[-3,2,-4,1,-5]=>[4,3,2,1,-5]
[-3,2,-4,-1,5]=>[4,3,2,-1,5]
[-3,2,-4,-1,-5]=>[4,3,2,-1,-5]
[-3,-2,4,1,5]=>[4,-3,-2,1,5]
[-3,-2,4,1,-5]=>[4,-3,-2,1,-5]
[-3,-2,4,-1,5]=>[4,-3,-2,-1,5]
[-3,-2,4,-1,-5]=>[4,-3,-2,-1,-5]
[-3,-2,-4,1,5]=>[2,-4,3,1,5]
[-3,-2,-4,1,-5]=>[2,-4,3,1,-5]
[-3,-2,-4,-1,5]=>[2,-4,3,-1,5]
[-3,-2,-4,-1,-5]=>[2,-4,3,-1,-5]
[3,2,4,5,1]=>[-2,4,5,-3,1]
[3,2,4,5,-1]=>[-2,4,5,-3,-1]
[3,2,4,-5,1]=>[-5,3,2,4,1]
[3,2,4,-5,-1]=>[-5,3,2,4,-1]
[3,2,-4,5,1]=>[-2,5,-3,-4,1]
[3,2,-4,5,-1]=>[-2,5,-3,-4,-1]
[3,2,-4,-5,1]=>[-4,3,-5,2,1]
[3,2,-4,-5,-1]=>[-4,3,-5,2,-1]
[3,-2,4,5,1]=>[-4,-3,5,-2,1]
[3,-2,4,5,-1]=>[-4,-3,5,-2,-1]
[3,-2,4,-5,1]=>[-2,-5,3,4,1]
[3,-2,4,-5,-1]=>[-2,-5,3,4,-1]
[3,-2,-4,5,1]=>[-5,-3,-2,-4,1]
[3,-2,-4,5,-1]=>[-5,-3,-2,-4,-1]
[3,-2,-4,-5,1]=>[-2,-4,-5,3,1]
[3,-2,-4,-5,-1]=>[-2,-4,-5,3,-1]
[-3,2,4,5,1]=>[2,4,5,-3,1]
[-3,2,4,5,-1]=>[2,4,5,-3,-1]
[-3,2,4,-5,1]=>[5,3,2,4,1]
[-3,2,4,-5,-1]=>[5,3,2,4,-1]
[-3,2,-4,5,1]=>[2,5,-3,-4,1]
[-3,2,-4,5,-1]=>[2,5,-3,-4,-1]
[-3,2,-4,-5,1]=>[4,3,-5,2,1]
[-3,2,-4,-5,-1]=>[4,3,-5,2,-1]
[-3,-2,4,5,1]=>[4,-3,5,-2,1]
[-3,-2,4,5,-1]=>[4,-3,5,-2,-1]
[-3,-2,4,-5,1]=>[2,-5,3,4,1]
[-3,-2,4,-5,-1]=>[2,-5,3,4,-1]
[-3,-2,-4,5,1]=>[5,-3,-2,-4,1]
[-3,-2,-4,5,-1]=>[5,-3,-2,-4,-1]
[-3,-2,-4,-5,1]=>[2,-4,-5,3,1]
[-3,-2,-4,-5,-1]=>[2,-4,-5,3,-1]
[3,2,5,1,4]=>[-2,-3,5,1,4]
[3,2,5,1,-4]=>[5,-2,-3,1,-4]
[3,2,5,-1,4]=>[-2,-3,5,-1,4]
[3,2,5,-1,-4]=>[5,-2,-3,-1,-4]
[3,2,-5,1,4]=>[5,3,2,1,4]
[3,2,-5,1,-4]=>[3,-5,2,1,-4]
[3,2,-5,-1,4]=>[5,3,2,-1,4]
[3,2,-5,-1,-4]=>[3,-5,2,-1,-4]
[3,-2,5,1,4]=>[5,-3,-2,1,4]
[3,-2,5,1,-4]=>[-3,-5,-2,1,-4]
[3,-2,5,-1,4]=>[5,-3,-2,-1,4]
[3,-2,5,-1,-4]=>[-3,-5,-2,-1,-4]
[3,-2,-5,1,4]=>[-5,-2,3,1,4]
[3,-2,-5,1,-4]=>[-2,3,-5,1,-4]
[3,-2,-5,-1,4]=>[-5,-2,3,-1,4]
[3,-2,-5,-1,-4]=>[-2,3,-5,-1,-4]
[-3,2,5,1,4]=>[2,-3,5,1,4]
[-3,2,5,1,-4]=>[5,2,-3,1,-4]
[-3,2,5,-1,4]=>[2,-3,5,-1,4]
[-3,2,5,-1,-4]=>[5,2,-3,-1,-4]
[-3,2,-5,1,4]=>[3,5,2,1,4]
[-3,2,-5,1,-4]=>[-5,3,2,1,-4]
[-3,2,-5,-1,4]=>[3,5,2,-1,4]
[-3,2,-5,-1,-4]=>[-5,3,2,-1,-4]
[-3,-2,5,1,4]=>[-3,5,-2,1,4]
[-3,-2,5,1,-4]=>[-5,-3,-2,1,-4]
[-3,-2,5,-1,4]=>[-3,5,-2,-1,4]
[-3,-2,5,-1,-4]=>[-5,-3,-2,-1,-4]
[-3,-2,-5,1,4]=>[-5,2,3,1,4]
[-3,-2,-5,1,-4]=>[2,3,-5,1,-4]
[-3,-2,-5,-1,4]=>[-5,2,3,-1,4]
[-3,-2,-5,-1,-4]=>[2,3,-5,-1,-4]
[3,2,5,4,1]=>[-2,4,-3,-5,1]
[3,2,5,4,-1]=>[-2,4,-3,-5,-1]
[3,2,5,-4,1]=>[-4,3,5,2,1]
[3,2,5,-4,-1]=>[-4,3,5,2,-1]
[3,2,-5,4,1]=>[-2,-3,4,-5,1]
[3,2,-5,4,-1]=>[-2,-3,4,-5,-1]
[3,2,-5,-4,1]=>[-4,3,2,5,1]
[3,2,-5,-4,-1]=>[-4,3,2,5,-1]
[3,-2,5,4,1]=>[-4,-3,-2,-5,1]
[3,-2,5,4,-1]=>[-4,-3,-2,-5,-1]
[3,-2,5,-4,1]=>[-2,3,-4,5,1]
[3,-2,5,-4,-1]=>[-2,3,-4,5,-1]
[3,-2,-5,4,1]=>[-4,-3,-5,-2,1]
[3,-2,-5,4,-1]=>[-4,-3,-5,-2,-1]
[3,-2,-5,-4,1]=>[-2,-4,3,5,1]
[3,-2,-5,-4,-1]=>[-2,-4,3,5,-1]
[-3,2,5,4,1]=>[2,4,-3,-5,1]
[-3,2,5,4,-1]=>[2,4,-3,-5,-1]
[-3,2,5,-4,1]=>[4,3,5,2,1]
[-3,2,5,-4,-1]=>[4,3,5,2,-1]
[-3,2,-5,4,1]=>[2,-3,4,-5,1]
[-3,2,-5,4,-1]=>[2,-3,4,-5,-1]
[-3,2,-5,-4,1]=>[4,3,2,5,1]
[-3,2,-5,-4,-1]=>[4,3,2,5,-1]
[-3,-2,5,4,1]=>[4,-3,-2,-5,1]
[-3,-2,5,4,-1]=>[4,-3,-2,-5,-1]
[-3,-2,5,-4,1]=>[2,3,-4,5,1]
[-3,-2,5,-4,-1]=>[2,3,-4,5,-1]
[-3,-2,-5,4,1]=>[4,-3,-5,-2,1]
[-3,-2,-5,4,-1]=>[4,-3,-5,-2,-1]
[-3,-2,-5,-4,1]=>[2,-4,3,5,1]
[-3,-2,-5,-4,-1]=>[2,-4,3,5,-1]
[3,4,1,2,5]=>[3,4,1,2,5]
[3,4,1,2,-5]=>[3,4,1,2,-5]
[3,4,1,-2,5]=>[-4,1,-3,-2,5]
[3,4,1,-2,-5]=>[-4,1,-3,-2,-5]
[3,4,-1,2,5]=>[3,4,-1,2,5]
[3,4,-1,2,-5]=>[3,4,-1,2,-5]
[3,4,-1,-2,5]=>[-4,-1,-3,-2,5]
[3,4,-1,-2,-5]=>[-4,-1,-3,-2,-5]
[3,-4,1,2,5]=>[1,4,3,2,5]
[3,-4,1,2,-5]=>[1,4,3,2,-5]
[3,-4,1,-2,5]=>[3,-4,1,-2,5]
[3,-4,1,-2,-5]=>[3,-4,1,-2,-5]
[3,-4,-1,2,5]=>[-1,4,3,2,5]
[3,-4,-1,2,-5]=>[-1,4,3,2,-5]
[3,-4,-1,-2,5]=>[3,-4,-1,-2,5]
[3,-4,-1,-2,-5]=>[3,-4,-1,-2,-5]
[-3,4,1,2,5]=>[-3,4,1,2,5]
[-3,4,1,2,-5]=>[-3,4,1,2,-5]
[-3,4,1,-2,5]=>[1,-4,-3,-2,5]
[-3,4,1,-2,-5]=>[1,-4,-3,-2,-5]
[-3,4,-1,2,5]=>[-3,4,-1,2,5]
[-3,4,-1,2,-5]=>[-3,4,-1,2,-5]
[-3,4,-1,-2,5]=>[-1,-4,-3,-2,5]
[-3,4,-1,-2,-5]=>[-1,-4,-3,-2,-5]
[-3,-4,1,2,5]=>[4,1,3,2,5]
[-3,-4,1,2,-5]=>[4,1,3,2,-5]
[-3,-4,1,-2,5]=>[-3,-4,1,-2,5]
[-3,-4,1,-2,-5]=>[-3,-4,1,-2,-5]
[-3,-4,-1,2,5]=>[4,-1,3,2,5]
[-3,-4,-1,2,-5]=>[4,-1,3,2,-5]
[-3,-4,-1,-2,5]=>[-3,-4,-1,-2,5]
[-3,-4,-1,-2,-5]=>[-3,-4,-1,-2,-5]
[3,4,1,5,2]=>[5,-4,1,-3,2]
[3,4,1,5,-2]=>[-4,1,5,-3,-2]
[3,4,1,-5,2]=>[3,4,-5,1,2]
[3,4,1,-5,-2]=>[3,-5,1,4,-2]
[3,4,-1,5,2]=>[5,-4,-1,-3,2]
[3,4,-1,5,-2]=>[-4,-1,5,-3,-2]
[3,4,-1,-5,2]=>[3,4,-5,-1,2]
[3,4,-1,-5,-2]=>[3,-5,-1,4,-2]
[3,-4,1,5,2]=>[3,5,1,-4,2]
[3,-4,1,5,-2]=>[3,-4,5,1,-2]
[3,-4,1,-5,2]=>[1,4,-5,3,2]
[3,-4,1,-5,-2]=>[5,4,1,3,-2]
[3,-4,-1,5,2]=>[3,5,-1,-4,2]
[3,-4,-1,5,-2]=>[3,-4,5,-1,-2]
[3,-4,-1,-5,2]=>[-1,4,-5,3,2]
[3,-4,-1,-5,-2]=>[5,4,-1,3,-2]
[-3,4,1,5,2]=>[-5,-4,1,-3,2]
[-3,4,1,5,-2]=>[1,-4,5,-3,-2]
[-3,4,1,-5,2]=>[-3,4,-5,1,2]
[-3,4,1,-5,-2]=>[-3,-5,1,4,-2]
[-3,4,-1,5,2]=>[-5,-4,-1,-3,2]
[-3,4,-1,5,-2]=>[-1,-4,5,-3,-2]
[-3,4,-1,-5,2]=>[-3,4,-5,-1,2]
[-3,4,-1,-5,-2]=>[-3,-5,-1,4,-2]
[-3,-4,1,5,2]=>[-3,5,1,-4,2]
[-3,-4,1,5,-2]=>[-3,-4,5,1,-2]
[-3,-4,1,-5,2]=>[4,1,-5,3,2]
[-3,-4,1,-5,-2]=>[-5,4,1,3,-2]
[-3,-4,-1,5,2]=>[-3,5,-1,-4,2]
[-3,-4,-1,5,-2]=>[-3,-4,5,-1,-2]
[-3,-4,-1,-5,2]=>[4,-1,-5,3,2]
[-3,-4,-1,-5,-2]=>[-5,4,-1,3,-2]
[3,4,2,1,5]=>[2,-4,-3,1,5]
[3,4,2,1,-5]=>[2,-4,-3,1,-5]
[3,4,2,-1,5]=>[2,-4,-3,-1,5]
[3,4,2,-1,-5]=>[2,-4,-3,-1,-5]
[3,4,-2,1,5]=>[3,-2,4,1,5]
[3,4,-2,1,-5]=>[3,-2,4,1,-5]
[3,4,-2,-1,5]=>[3,-2,4,-1,5]
[3,4,-2,-1,-5]=>[3,-2,4,-1,-5]
[3,-4,2,1,5]=>[3,2,-4,1,5]
[3,-4,2,1,-5]=>[3,2,-4,1,-5]
[3,-4,2,-1,5]=>[3,2,-4,-1,5]
[3,-4,2,-1,-5]=>[3,2,-4,-1,-5]
[3,-4,-2,1,5]=>[2,4,3,1,5]
[3,-4,-2,1,-5]=>[2,4,3,1,-5]
[3,-4,-2,-1,5]=>[2,4,3,-1,5]
[3,-4,-2,-1,-5]=>[2,4,3,-1,-5]
[-3,4,2,1,5]=>[-2,-4,-3,1,5]
[-3,4,2,1,-5]=>[-2,-4,-3,1,-5]
[-3,4,2,-1,5]=>[-2,-4,-3,-1,5]
[-3,4,2,-1,-5]=>[-2,-4,-3,-1,-5]
[-3,4,-2,1,5]=>[-3,-2,4,1,5]
[-3,4,-2,1,-5]=>[-3,-2,4,1,-5]
[-3,4,-2,-1,5]=>[-3,-2,4,-1,5]
[-3,4,-2,-1,-5]=>[-3,-2,4,-1,-5]
[-3,-4,2,1,5]=>[-3,2,-4,1,5]
[-3,-4,2,1,-5]=>[-3,2,-4,1,-5]
[-3,-4,2,-1,5]=>[-3,2,-4,-1,5]
[-3,-4,2,-1,-5]=>[-3,2,-4,-1,-5]
[-3,-4,-2,1,5]=>[-2,4,3,1,5]
[-3,-4,-2,1,-5]=>[-2,4,3,1,-5]
[-3,-4,-2,-1,5]=>[-2,4,3,-1,5]
[-3,-4,-2,-1,-5]=>[-2,4,3,-1,-5]
[3,4,2,5,1]=>[2,-4,5,-3,1]
[3,4,2,5,-1]=>[2,-4,5,-3,-1]
[3,4,2,-5,1]=>[3,-5,4,2,1]
[3,4,2,-5,-1]=>[3,-5,4,2,-1]
[3,4,-2,5,1]=>[5,-4,-3,-2,1]
[3,4,-2,5,-1]=>[5,-4,-3,-2,-1]
[3,4,-2,-5,1]=>[3,-2,-5,4,1]
[3,4,-2,-5,-1]=>[3,-2,-5,4,-1]
[3,-4,2,5,1]=>[3,2,5,-4,1]
[3,-4,2,5,-1]=>[3,2,5,-4,-1]
[3,-4,2,-5,1]=>[5,4,3,2,1]
[3,-4,2,-5,-1]=>[5,4,3,2,-1]
[3,-4,-2,5,1]=>[3,5,-4,-2,1]
[3,-4,-2,5,-1]=>[3,5,-4,-2,-1]
[3,-4,-2,-5,1]=>[2,4,-5,3,1]
[3,-4,-2,-5,-1]=>[2,4,-5,3,-1]
[-3,4,2,5,1]=>[-2,-4,5,-3,1]
[-3,4,2,5,-1]=>[-2,-4,5,-3,-1]
[-3,4,2,-5,1]=>[-3,-5,4,2,1]
[-3,4,2,-5,-1]=>[-3,-5,4,2,-1]
[-3,4,-2,5,1]=>[-5,-4,-3,-2,1]
[-3,4,-2,5,-1]=>[-5,-4,-3,-2,-1]
[-3,4,-2,-5,1]=>[-3,-2,-5,4,1]
[-3,4,-2,-5,-1]=>[-3,-2,-5,4,-1]
[-3,-4,2,5,1]=>[-3,2,5,-4,1]
[-3,-4,2,5,-1]=>[-3,2,5,-4,-1]
[-3,-4,2,-5,1]=>[-5,4,3,2,1]
[-3,-4,2,-5,-1]=>[-5,4,3,2,-1]
[-3,-4,-2,5,1]=>[-3,5,-4,-2,1]
[-3,-4,-2,5,-1]=>[-3,5,-4,-2,-1]
[-3,-4,-2,-5,1]=>[-2,4,-5,3,1]
[-3,-4,-2,-5,-1]=>[-2,4,-5,3,-1]
[3,4,5,1,2]=>[3,4,5,1,2]
[3,4,5,1,-2]=>[5,-4,1,-3,-2]
[3,4,5,-1,2]=>[3,4,5,-1,2]
[3,4,5,-1,-2]=>[5,-4,-1,-3,-2]
[3,4,-5,1,2]=>[1,5,3,4,2]
[3,4,-5,1,-2]=>[3,4,-5,1,-2]
[3,4,-5,-1,2]=>[-1,5,3,4,2]
[3,4,-5,-1,-2]=>[3,4,-5,-1,-2]
[3,-4,5,1,2]=>[3,-4,5,1,2]
[3,-4,5,1,-2]=>[-5,1,-3,-4,-2]
[3,-4,5,-1,2]=>[3,-4,5,-1,2]
[3,-4,5,-1,-2]=>[-5,-1,-3,-4,-2]
[3,-4,-5,1,2]=>[5,4,1,3,2]
[3,-4,-5,1,-2]=>[3,-4,-5,1,-2]
[3,-4,-5,-1,2]=>[5,4,-1,3,2]
[3,-4,-5,-1,-2]=>[3,-4,-5,-1,-2]
[-3,4,5,1,2]=>[-3,4,5,1,2]
[-3,4,5,1,-2]=>[-5,-4,1,-3,-2]
[-3,4,5,-1,2]=>[-3,4,5,-1,2]
[-3,4,5,-1,-2]=>[-5,-4,-1,-3,-2]
[-3,4,-5,1,2]=>[5,1,3,4,2]
[-3,4,-5,1,-2]=>[-3,4,-5,1,-2]
[-3,4,-5,-1,2]=>[5,-1,3,4,2]
[-3,4,-5,-1,-2]=>[-3,4,-5,-1,-2]
[-3,-4,5,1,2]=>[-3,-4,5,1,2]
[-3,-4,5,1,-2]=>[1,-5,-3,-4,-2]
[-3,-4,5,-1,2]=>[-3,-4,5,-1,2]
[-3,-4,5,-1,-2]=>[-1,-5,-3,-4,-2]
[-3,-4,-5,1,2]=>[-5,4,1,3,2]
[-3,-4,-5,1,-2]=>[-3,-4,-5,1,-2]
[-3,-4,-5,-1,2]=>[-5,4,-1,3,2]
[-3,-4,-5,-1,-2]=>[-3,-4,-5,-1,-2]
[3,4,5,2,1]=>[5,2,-4,-3,1]
[3,4,5,2,-1]=>[5,2,-4,-3,-1]
[3,4,5,-2,1]=>[3,4,-2,5,1]
[3,4,5,-2,-1]=>[3,4,-2,5,-1]
[3,4,-5,2,1]=>[3,4,2,-5,1]
[3,4,-5,2,-1]=>[3,4,2,-5,-1]
[3,4,-5,-2,1]=>[2,5,3,4,1]
[3,4,-5,-2,-1]=>[2,5,3,4,-1]
[3,-4,5,2,1]=>[2,-5,-3,-4,1]
[3,-4,5,2,-1]=>[2,-5,-3,-4,-1]
[3,-4,5,-2,1]=>[3,-4,-2,5,1]
[3,-4,5,-2,-1]=>[3,-4,-2,5,-1]
[3,-4,-5,2,1]=>[3,-4,2,-5,1]
[3,-4,-5,2,-1]=>[3,-4,2,-5,-1]
[3,-4,-5,-2,1]=>[5,-2,4,3,1]
[3,-4,-5,-2,-1]=>[5,-2,4,3,-1]
[-3,4,5,2,1]=>[-5,2,-4,-3,1]
[-3,4,5,2,-1]=>[-5,2,-4,-3,-1]
[-3,4,5,-2,1]=>[-3,4,-2,5,1]
[-3,4,5,-2,-1]=>[-3,4,-2,5,-1]
[-3,4,-5,2,1]=>[-3,4,2,-5,1]
[-3,4,-5,2,-1]=>[-3,4,2,-5,-1]
[-3,4,-5,-2,1]=>[-2,5,3,4,1]
[-3,4,-5,-2,-1]=>[-2,5,3,4,-1]
[-3,-4,5,2,1]=>[-2,-5,-3,-4,1]
[-3,-4,5,2,-1]=>[-2,-5,-3,-4,-1]
[-3,-4,5,-2,1]=>[-3,-4,-2,5,1]
[-3,-4,5,-2,-1]=>[-3,-4,-2,5,-1]
[-3,-4,-5,2,1]=>[-3,-4,2,-5,1]
[-3,-4,-5,2,-1]=>[-3,-4,2,-5,-1]
[-3,-4,-5,-2,1]=>[-5,-2,4,3,1]
[-3,-4,-5,-2,-1]=>[-5,-2,4,3,-1]
[3,5,1,2,4]=>[3,1,5,2,4]
[3,5,1,2,-4]=>[5,3,1,2,-4]
[3,5,1,-2,4]=>[5,1,-3,-2,4]
[3,5,1,-2,-4]=>[1,-5,-3,-2,-4]
[3,5,-1,2,4]=>[3,-1,5,2,4]
[3,5,-1,2,-4]=>[5,3,-1,2,-4]
[3,5,-1,-2,4]=>[5,-1,-3,-2,4]
[3,5,-1,-2,-4]=>[-1,-5,-3,-2,-4]
[3,-5,1,2,4]=>[1,3,5,2,4]
[3,-5,1,2,-4]=>[5,1,3,2,-4]
[3,-5,1,-2,4]=>[-5,3,1,-2,4]
[3,-5,1,-2,-4]=>[3,1,-5,-2,-4]
[3,-5,-1,2,4]=>[-1,3,5,2,4]
[3,-5,-1,2,-4]=>[5,-1,3,2,-4]
[3,-5,-1,-2,4]=>[-5,3,-1,-2,4]
[3,-5,-1,-2,-4]=>[3,-1,-5,-2,-4]
[-3,5,1,2,4]=>[-3,1,5,2,4]
[-3,5,1,2,-4]=>[5,-3,1,2,-4]
[-3,5,1,-2,4]=>[-5,1,-3,-2,4]
[-3,5,1,-2,-4]=>[1,-3,-5,-2,-4]
[-3,5,-1,2,4]=>[-3,-1,5,2,4]
[-3,5,-1,2,-4]=>[5,-3,-1,2,-4]
[-3,5,-1,-2,4]=>[-5,-1,-3,-2,4]
[-3,5,-1,-2,-4]=>[-1,-3,-5,-2,-4]
[-3,-5,1,2,4]=>[1,5,3,2,4]
[-3,-5,1,2,-4]=>[-5,1,3,2,-4]
[-3,-5,1,-2,4]=>[-5,-3,1,-2,4]
[-3,-5,1,-2,-4]=>[-3,1,-5,-2,-4]
[-3,-5,-1,2,4]=>[-1,5,3,2,4]
[-3,-5,-1,2,-4]=>[-5,-1,3,2,-4]
[-3,-5,-1,-2,4]=>[-5,-3,-1,-2,4]
[-3,-5,-1,-2,-4]=>[-3,-1,-5,-2,-4]
[3,5,1,4,2]=>[-5,4,1,-3,2]
[3,5,1,4,-2]=>[-5,-3,4,1,-2]
[3,5,1,-4,2]=>[-3,5,-4,1,2]
[3,5,1,-4,-2]=>[-3,-4,1,5,-2]
[3,5,-1,4,2]=>[-5,4,-1,-3,2]
[3,5,-1,4,-2]=>[-5,-3,4,-1,-2]
[3,5,-1,-4,2]=>[-3,5,-4,-1,2]
[3,5,-1,-4,-2]=>[-3,-4,-1,5,-2]
[3,-5,1,4,2]=>[5,4,1,-3,2]
[3,-5,1,4,-2]=>[5,-3,4,1,-2]
[3,-5,1,-4,2]=>[5,1,-4,3,2]
[3,-5,1,-4,-2]=>[-4,5,1,3,-2]
[3,-5,-1,4,2]=>[5,4,-1,-3,2]
[3,-5,-1,4,-2]=>[5,-3,4,-1,-2]
[3,-5,-1,-4,2]=>[5,-1,-4,3,2]
[3,-5,-1,-4,-2]=>[-4,5,-1,3,-2]
[-3,5,1,4,2]=>[4,-5,1,-3,2]
[-3,5,1,4,-2]=>[-5,1,4,-3,-2]
[-3,5,1,-4,2]=>[-5,3,-4,1,2]
[-3,5,1,-4,-2]=>[-5,-4,1,3,-2]
[-3,5,-1,4,2]=>[4,-5,-1,-3,2]
[-3,5,-1,4,-2]=>[-5,-1,4,-3,-2]
[-3,5,-1,-4,2]=>[-5,3,-4,-1,2]
[-3,5,-1,-4,-2]=>[-5,-4,-1,3,-2]
[-3,-5,1,4,2]=>[3,4,1,-5,2]
[-3,-5,1,4,-2]=>[3,-5,4,1,-2]
[-3,-5,1,-4,2]=>[5,3,-4,1,2]
[-3,-5,1,-4,-2]=>[5,-4,1,3,-2]
[-3,-5,-1,4,2]=>[3,4,-1,-5,2]
[-3,-5,-1,4,-2]=>[3,-5,4,-1,-2]
[-3,-5,-1,-4,2]=>[5,3,-4,-1,2]
[-3,-5,-1,-4,-2]=>[5,-4,-1,3,-2]
[3,5,2,1,4]=>[-5,2,-3,1,4]
[3,5,2,1,-4]=>[2,-3,-5,1,-4]
[3,5,2,-1,4]=>[-5,2,-3,-1,4]
[3,5,2,-1,-4]=>[2,-3,-5,-1,-4]
[3,5,-2,1,4]=>[3,-2,1,5,4]
[3,5,-2,1,-4]=>[3,5,-2,1,-4]
[3,5,-2,-1,4]=>[3,-2,-1,5,4]
[3,5,-2,-1,-4]=>[3,5,-2,-1,-4]
[3,-5,2,1,4]=>[3,-5,2,1,4]
[3,-5,2,1,-4]=>[3,2,1,-5,-4]
[3,-5,2,-1,4]=>[3,-5,2,-1,4]
[3,-5,2,-1,-4]=>[3,2,-1,-5,-4]
[3,-5,-2,1,4]=>[2,3,5,1,4]
[3,-5,-2,1,-4]=>[5,2,3,1,-4]
[3,-5,-2,-1,4]=>[2,3,5,-1,4]
[3,-5,-2,-1,-4]=>[5,2,3,-1,-4]
[-3,5,2,1,4]=>[-5,-2,-3,1,4]
[-3,5,2,1,-4]=>[-2,-3,-5,1,-4]
[-3,5,2,-1,4]=>[-5,-2,-3,-1,4]
[-3,5,2,-1,-4]=>[-2,-3,-5,-1,-4]
[-3,5,-2,1,4]=>[-3,-2,1,5,4]
[-3,5,-2,1,-4]=>[-3,5,-2,1,-4]
[-3,5,-2,-1,4]=>[-3,-2,-1,5,4]
[-3,5,-2,-1,-4]=>[-3,5,-2,-1,-4]
[-3,-5,2,1,4]=>[-3,-5,2,1,4]
[-3,-5,2,1,-4]=>[-3,2,1,-5,-4]
[-3,-5,2,-1,4]=>[-3,-5,2,-1,4]
[-3,-5,2,-1,-4]=>[-3,2,-1,-5,-4]
[-3,-5,-2,1,4]=>[-2,3,5,1,4]
[-3,-5,-2,1,-4]=>[5,-2,3,1,-4]
[-3,-5,-2,-1,4]=>[-2,3,5,-1,4]
[-3,-5,-2,-1,-4]=>[5,-2,3,-1,-4]
[3,5,2,4,1]=>[-5,2,4,-3,1]
[3,5,2,4,-1]=>[-5,2,4,-3,-1]
[3,5,2,-4,1]=>[-3,-4,5,2,1]
[3,5,2,-4,-1]=>[-3,-4,5,2,-1]
[3,5,-2,4,1]=>[-5,4,-3,-2,1]
[3,5,-2,4,-1]=>[-5,4,-3,-2,-1]
[3,5,-2,-4,1]=>[-3,-2,-4,5,1]
[3,5,-2,-4,-1]=>[-3,-2,-4,5,-1]
[3,-5,2,4,1]=>[5,2,4,-3,1]
[3,-5,2,4,-1]=>[5,2,4,-3,-1]
[3,-5,2,-4,1]=>[-4,5,3,2,1]
[3,-5,2,-4,-1]=>[-4,5,3,2,-1]
[3,-5,-2,4,1]=>[5,4,-3,-2,1]
[3,-5,-2,4,-1]=>[5,4,-3,-2,-1]
[3,-5,-2,-4,1]=>[-2,5,-4,3,1]
[3,-5,-2,-4,-1]=>[-2,5,-4,3,-1]
[-3,5,2,4,1]=>[2,-5,4,-3,1]
[-3,5,2,4,-1]=>[2,-5,4,-3,-1]
[-3,5,2,-4,1]=>[-5,-4,3,2,1]
[-3,5,2,-4,-1]=>[-5,-4,3,2,-1]
[-3,5,-2,4,1]=>[4,-5,-3,-2,1]
[-3,5,-2,4,-1]=>[4,-5,-3,-2,-1]
[-3,5,-2,-4,1]=>[-5,-2,-4,3,1]
[-3,5,-2,-4,-1]=>[-5,-2,-4,3,-1]
[-3,-5,2,4,1]=>[3,2,4,-5,1]
[-3,-5,2,4,-1]=>[3,2,4,-5,-1]
[-3,-5,2,-4,1]=>[5,-4,3,2,1]
[-3,-5,2,-4,-1]=>[5,-4,3,2,-1]
[-3,-5,-2,4,1]=>[3,4,-5,-2,1]
[-3,-5,-2,4,-1]=>[3,4,-5,-2,-1]
[-3,-5,-2,-4,1]=>[5,-2,-4,3,1]
[-3,-5,-2,-4,-1]=>[5,-2,-4,3,-1]
[3,5,4,1,2]=>[3,-5,4,1,2]
[3,5,4,1,-2]=>[-4,1,-3,-5,-2]
[3,5,4,-1,2]=>[3,-5,4,-1,2]
[3,5,4,-1,-2]=>[-4,-1,-3,-5,-2]
[3,5,-4,1,2]=>[1,4,5,3,2]
[3,5,-4,1,-2]=>[5,3,-4,1,-2]
[3,5,-4,-1,2]=>[-1,4,5,3,2]
[3,5,-4,-1,-2]=>[5,3,-4,-1,-2]
[3,-5,4,1,2]=>[-5,3,4,1,2]
[3,-5,4,1,-2]=>[-4,-3,1,-5,-2]
[3,-5,4,-1,2]=>[-5,3,4,-1,2]
[3,-5,4,-1,-2]=>[-4,-3,-1,-5,-2]
[3,-5,-4,1,2]=>[1,4,3,5,2]
[3,-5,-4,1,-2]=>[3,5,-4,1,-2]
[3,-5,-4,-1,2]=>[-1,4,3,5,2]
[3,-5,-4,-1,-2]=>[3,5,-4,-1,-2]
[-3,5,4,1,2]=>[-3,-5,4,1,2]
[-3,5,4,1,-2]=>[1,-4,-3,-5,-2]
[-3,5,4,-1,2]=>[-3,-5,4,-1,2]
[-3,5,4,-1,-2]=>[-1,-4,-3,-5,-2]
[-3,5,-4,1,2]=>[4,3,1,5,2]
[-3,5,-4,1,-2]=>[5,-3,-4,1,-2]
[-3,5,-4,-1,2]=>[4,3,-1,5,2]
[-3,5,-4,-1,-2]=>[5,-3,-4,-1,-2]
[-3,-5,4,1,2]=>[-5,-3,4,1,2]
[-3,-5,4,1,-2]=>[1,-4,-5,-3,-2]
[-3,-5,4,-1,2]=>[-5,-3,4,-1,2]
[-3,-5,4,-1,-2]=>[-1,-4,-5,-3,-2]
[-3,-5,-4,1,2]=>[4,1,3,5,2]
[-3,-5,-4,1,-2]=>[-3,5,-4,1,-2]
[-3,-5,-4,-1,2]=>[4,-1,3,5,2]
[-3,-5,-4,-1,-2]=>[-3,5,-4,-1,-2]
[3,5,4,2,1]=>[2,-4,-3,-5,1]
[3,5,4,2,-1]=>[2,-4,-3,-5,-1]
[3,5,4,-2,1]=>[3,-5,-2,4,1]
[3,5,4,-2,-1]=>[3,-5,-2,4,-1]
[3,5,-4,2,1]=>[5,3,2,-4,1]
[3,5,-4,2,-1]=>[5,3,2,-4,-1]
[3,5,-4,-2,1]=>[2,4,5,3,1]
[3,5,-4,-2,-1]=>[2,4,5,3,-1]
[3,-5,4,2,1]=>[-4,2,-3,-5,1]
[3,-5,4,2,-1]=>[-4,2,-3,-5,-1]
[3,-5,4,-2,1]=>[-5,3,-2,4,1]
[3,-5,4,-2,-1]=>[-5,3,-2,4,-1]
[3,-5,-4,2,1]=>[3,5,2,-4,1]
[3,-5,-4,2,-1]=>[3,5,2,-4,-1]
[3,-5,-4,-2,1]=>[2,4,3,5,1]
[3,-5,-4,-2,-1]=>[2,4,3,5,-1]
[-3,5,4,2,1]=>[-2,-4,-3,-5,1]
[-3,5,4,2,-1]=>[-2,-4,-3,-5,-1]
[-3,5,4,-2,1]=>[-3,-5,-2,4,1]
[-3,5,4,-2,-1]=>[-3,-5,-2,4,-1]
[-3,5,-4,2,1]=>[5,-3,2,-4,1]
[-3,5,-4,2,-1]=>[5,-3,2,-4,-1]
[-3,5,-4,-2,1]=>[4,-2,3,5,1]
[-3,5,-4,-2,-1]=>[4,-2,3,5,-1]
[-3,-5,4,2,1]=>[-2,-4,-5,-3,1]
[-3,-5,4,2,-1]=>[-2,-4,-5,-3,-1]
[-3,-5,4,-2,1]=>[-5,-3,-2,4,1]
[-3,-5,4,-2,-1]=>[-5,-3,-2,4,-1]
[-3,-5,-4,2,1]=>[-3,5,2,-4,1]
[-3,-5,-4,2,-1]=>[-3,5,2,-4,-1]
[-3,-5,-4,-2,1]=>[-2,4,3,5,1]
[-3,-5,-4,-2,-1]=>[-2,4,3,5,-1]
[4,1,2,3,5]=>[1,4,2,3,5]
[4,1,2,3,-5]=>[1,4,2,3,-5]
[4,1,2,-3,5]=>[-4,1,2,-3,5]
[4,1,2,-3,-5]=>[-4,1,2,-3,-5]
[4,1,-2,3,5]=>[-4,1,-2,3,5]
[4,1,-2,3,-5]=>[-4,1,-2,3,-5]
[4,1,-2,-3,5]=>[1,-2,-4,-3,5]
[4,1,-2,-3,-5]=>[1,-2,-4,-3,-5]
[4,-1,2,3,5]=>[-1,4,2,3,5]
[4,-1,2,3,-5]=>[-1,4,2,3,-5]
[4,-1,2,-3,5]=>[-4,-1,2,-3,5]
[4,-1,2,-3,-5]=>[-4,-1,2,-3,-5]
[4,-1,-2,3,5]=>[-4,-1,-2,3,5]
[4,-1,-2,3,-5]=>[-4,-1,-2,3,-5]
[4,-1,-2,-3,5]=>[-1,-2,-4,-3,5]
[4,-1,-2,-3,-5]=>[-1,-2,-4,-3,-5]
[-4,1,2,3,5]=>[1,2,4,3,5]
[-4,1,2,3,-5]=>[1,2,4,3,-5]
[-4,1,2,-3,5]=>[4,1,2,-3,5]
[-4,1,2,-3,-5]=>[4,1,2,-3,-5]
[-4,1,-2,3,5]=>[4,1,-2,3,5]
[-4,1,-2,3,-5]=>[4,1,-2,3,-5]
[-4,1,-2,-3,5]=>[1,-4,-2,-3,5]
[-4,1,-2,-3,-5]=>[1,-4,-2,-3,-5]
[-4,-1,2,3,5]=>[-1,2,4,3,5]
[-4,-1,2,3,-5]=>[-1,2,4,3,-5]
[-4,-1,2,-3,5]=>[4,-1,2,-3,5]
[-4,-1,2,-3,-5]=>[4,-1,2,-3,-5]
[-4,-1,-2,3,5]=>[4,-1,-2,3,5]
[-4,-1,-2,3,-5]=>[4,-1,-2,3,-5]
[-4,-1,-2,-3,5]=>[-1,-4,-2,-3,5]
[-4,-1,-2,-3,-5]=>[-1,-4,-2,-3,-5]
[4,1,2,5,3]=>[5,1,2,-4,3]
[4,1,2,5,-3]=>[-4,1,5,2,-3]
[4,1,2,-5,3]=>[1,4,-5,2,3]
[4,1,2,-5,-3]=>[5,1,2,4,-3]
[4,1,-2,5,3]=>[1,-5,-2,-4,3]
[4,1,-2,5,-3]=>[1,-2,5,-4,-3]
[4,1,-2,-5,3]=>[-4,1,-5,-2,3]
[4,1,-2,-5,-3]=>[1,-5,-2,4,-3]
[4,-1,2,5,3]=>[5,-1,2,-4,3]
[4,-1,2,5,-3]=>[-4,-1,5,2,-3]
[4,-1,2,-5,3]=>[-1,4,-5,2,3]
[4,-1,2,-5,-3]=>[5,-1,2,4,-3]
[4,-1,-2,5,3]=>[-1,-5,-2,-4,3]
[4,-1,-2,5,-3]=>[-1,-2,5,-4,-3]
[4,-1,-2,-5,3]=>[-4,-1,-5,-2,3]
[4,-1,-2,-5,-3]=>[-1,-5,-2,4,-3]
[-4,1,2,5,3]=>[1,5,2,-4,3]
[-4,1,2,5,-3]=>[4,1,5,2,-3]
[-4,1,2,-5,3]=>[1,2,-5,4,3]
[-4,1,2,-5,-3]=>[1,5,2,4,-3]
[-4,1,-2,5,3]=>[-5,1,-2,-4,3]
[-4,1,-2,5,-3]=>[1,-4,5,-2,-3]
[-4,1,-2,-5,3]=>[4,1,-5,-2,3]
[-4,1,-2,-5,-3]=>[-5,1,-2,4,-3]
[-4,-1,2,5,3]=>[-1,5,2,-4,3]
[-4,-1,2,5,-3]=>[4,-1,5,2,-3]
[-4,-1,2,-5,3]=>[-1,2,-5,4,3]
[-4,-1,2,-5,-3]=>[-1,5,2,4,-3]
[-4,-1,-2,5,3]=>[-5,-1,-2,-4,3]
[-4,-1,-2,5,-3]=>[-1,-4,5,-2,-3]
[-4,-1,-2,-5,3]=>[4,-1,-5,-2,3]
[-4,-1,-2,-5,-3]=>[-5,-1,-2,4,-3]
[4,1,3,2,5]=>[3,1,-4,2,5]
[4,1,3,2,-5]=>[3,1,-4,2,-5]
[4,1,3,-2,5]=>[-4,3,1,-2,5]
[4,1,3,-2,-5]=>[-4,3,1,-2,-5]
[4,1,-3,2,5]=>[-4,-3,1,2,5]
[4,1,-3,2,-5]=>[-4,-3,1,2,-5]
[4,1,-3,-2,5]=>[1,-3,4,-2,5]
[4,1,-3,-2,-5]=>[1,-3,4,-2,-5]
[4,-1,3,2,5]=>[3,-1,-4,2,5]
[4,-1,3,2,-5]=>[3,-1,-4,2,-5]
[4,-1,3,-2,5]=>[-4,3,-1,-2,5]
[4,-1,3,-2,-5]=>[-4,3,-1,-2,-5]
[4,-1,-3,2,5]=>[-4,-3,-1,2,5]
[4,-1,-3,2,-5]=>[-4,-3,-1,2,-5]
[4,-1,-3,-2,5]=>[-1,-3,4,-2,5]
[4,-1,-3,-2,-5]=>[-1,-3,4,-2,-5]
[-4,1,3,2,5]=>[1,3,-4,2,5]
[-4,1,3,2,-5]=>[1,3,-4,2,-5]
[-4,1,3,-2,5]=>[4,3,1,-2,5]
[-4,1,3,-2,-5]=>[4,3,1,-2,-5]
[-4,1,-3,2,5]=>[4,-3,1,2,5]
[-4,1,-3,2,-5]=>[4,-3,1,2,-5]
[-4,1,-3,-2,5]=>[-3,1,4,-2,5]
[-4,1,-3,-2,-5]=>[-3,1,4,-2,-5]
[-4,-1,3,2,5]=>[-1,3,-4,2,5]
[-4,-1,3,2,-5]=>[-1,3,-4,2,-5]
[-4,-1,3,-2,5]=>[4,3,-1,-2,5]
[-4,-1,3,-2,-5]=>[4,3,-1,-2,-5]
[-4,-1,-3,2,5]=>[4,-3,-1,2,5]
[-4,-1,-3,2,-5]=>[4,-3,-1,2,-5]
[-4,-1,-3,-2,5]=>[-3,-1,4,-2,5]
[-4,-1,-3,-2,-5]=>[-3,-1,4,-2,-5]
[4,1,3,5,2]=>[3,1,5,-4,2]
[4,1,3,5,-2]=>[-4,3,5,1,-2]
[4,1,3,-5,2]=>[1,-5,4,3,2]
[4,1,3,-5,-2]=>[5,1,4,3,-2]
[4,1,-3,5,2]=>[1,-5,-4,-3,2]
[4,1,-3,5,-2]=>[5,1,-4,-3,-2]
[4,1,-3,-5,2]=>[-4,-3,-5,1,2]
[4,1,-3,-5,-2]=>[1,-3,-5,4,-2]
[4,-1,3,5,2]=>[3,-1,5,-4,2]
[4,-1,3,5,-2]=>[-4,3,5,-1,-2]
[4,-1,3,-5,2]=>[-1,-5,4,3,2]
[4,-1,3,-5,-2]=>[5,-1,4,3,-2]
[4,-1,-3,5,2]=>[-1,-5,-4,-3,2]
[4,-1,-3,5,-2]=>[5,-1,-4,-3,-2]
[4,-1,-3,-5,2]=>[-4,-3,-5,-1,2]
[4,-1,-3,-5,-2]=>[-1,-3,-5,4,-2]
[-4,1,3,5,2]=>[1,3,5,-4,2]
[-4,1,3,5,-2]=>[4,3,5,1,-2]
[-4,1,3,-5,2]=>[-5,1,4,3,2]
[-4,1,3,-5,-2]=>[1,5,4,3,-2]
[-4,1,-3,5,2]=>[-5,1,-4,-3,2]
[-4,1,-3,5,-2]=>[1,5,-4,-3,-2]
[-4,1,-3,-5,2]=>[4,-3,-5,1,2]
[-4,1,-3,-5,-2]=>[-3,1,-5,4,-2]
[-4,-1,3,5,2]=>[-1,3,5,-4,2]
[-4,-1,3,5,-2]=>[4,3,5,-1,-2]
[-4,-1,3,-5,2]=>[-5,-1,4,3,2]
[-4,-1,3,-5,-2]=>[-1,5,4,3,-2]
[-4,-1,-3,5,2]=>[-5,-1,-4,-3,2]
[-4,-1,-3,5,-2]=>[-1,5,-4,-3,-2]
[-4,-1,-3,-5,2]=>[4,-3,-5,-1,2]
[-4,-1,-3,-5,-2]=>[-3,-1,-5,4,-2]
[4,1,5,2,3]=>[5,-4,1,2,3]
[4,1,5,2,-3]=>[1,-5,2,-4,-3]
[4,1,5,-2,3]=>[-4,1,5,-2,3]
[4,1,5,-2,-3]=>[5,1,-2,-4,-3]
[4,1,-5,2,3]=>[5,4,1,2,3]
[4,1,-5,2,-3]=>[-4,1,-5,2,-3]
[4,1,-5,-2,3]=>[5,1,-2,4,3]
[4,1,-5,-2,-3]=>[1,4,-5,-2,-3]
[4,-1,5,2,3]=>[5,-4,-1,2,3]
[4,-1,5,2,-3]=>[-1,-5,2,-4,-3]
[4,-1,5,-2,3]=>[-4,-1,5,-2,3]
[4,-1,5,-2,-3]=>[5,-1,-2,-4,-3]
[4,-1,-5,2,3]=>[5,4,-1,2,3]
[4,-1,-5,2,-3]=>[-4,-1,-5,2,-3]
[4,-1,-5,-2,3]=>[5,-1,-2,4,3]
[4,-1,-5,-2,-3]=>[-1,4,-5,-2,-3]
[-4,1,5,2,3]=>[1,-4,5,2,3]
[-4,1,5,2,-3]=>[-5,1,2,-4,-3]
[-4,1,5,-2,3]=>[4,1,5,-2,3]
[-4,1,5,-2,-3]=>[-5,-4,1,-2,-3]
[-4,1,-5,2,3]=>[-5,1,2,4,3]
[-4,1,-5,2,-3]=>[4,1,-5,2,-3]
[-4,1,-5,-2,3]=>[1,5,-2,4,3]
[-4,1,-5,-2,-3]=>[-5,4,1,-2,-3]
[-4,-1,5,2,3]=>[-1,-4,5,2,3]
[-4,-1,5,2,-3]=>[-5,-1,2,-4,-3]
[-4,-1,5,-2,3]=>[4,-1,5,-2,3]
[-4,-1,5,-2,-3]=>[-5,-4,-1,-2,-3]
[-4,-1,-5,2,3]=>[-5,-1,2,4,3]
[-4,-1,-5,2,-3]=>[4,-1,-5,2,-3]
[-4,-1,-5,-2,3]=>[-1,5,-2,4,3]
[-4,-1,-5,-2,-3]=>[-5,4,-1,-2,-3]
[4,1,5,3,2]=>[-3,1,-5,-4,2]
[4,1,5,3,-2]=>[1,3,-5,-4,-2]
[4,1,5,-3,2]=>[-4,1,-3,5,2]
[4,1,5,-3,-2]=>[1,4,-3,5,-2]
[4,1,-5,3,2]=>[3,-4,1,-5,2]
[4,1,-5,3,-2]=>[-4,1,3,-5,-2]
[4,1,-5,-3,2]=>[5,-3,1,4,2]
[4,1,-5,-3,-2]=>[-3,1,5,4,-2]
[4,-1,5,3,2]=>[-3,-1,-5,-4,2]
[4,-1,5,3,-2]=>[-1,3,-5,-4,-2]
[4,-1,5,-3,2]=>[-4,-1,-3,5,2]
[4,-1,5,-3,-2]=>[-1,4,-3,5,-2]
[4,-1,-5,3,2]=>[3,-4,-1,-5,2]
[4,-1,-5,3,-2]=>[-4,-1,3,-5,-2]
[4,-1,-5,-3,2]=>[5,-3,-1,4,2]
[4,-1,-5,-3,-2]=>[-3,-1,5,4,-2]
[-4,1,5,3,2]=>[3,1,-5,-4,2]
[-4,1,5,3,-2]=>[-5,3,1,-4,-2]
[-4,1,5,-3,2]=>[4,1,-3,5,2]
[-4,1,5,-3,-2]=>[-3,4,1,5,-2]
[-4,1,-5,3,2]=>[1,-4,3,-5,2]
[-4,1,-5,3,-2]=>[4,1,3,-5,-2]
[-4,1,-5,-3,2]=>[1,-3,5,4,2]
[-4,1,-5,-3,-2]=>[3,1,5,4,-2]
[-4,-1,5,3,2]=>[3,-1,-5,-4,2]
[-4,-1,5,3,-2]=>[-5,3,-1,-4,-2]
[-4,-1,5,-3,2]=>[4,-1,-3,5,2]
[-4,-1,5,-3,-2]=>[-3,4,-1,5,-2]
[-4,-1,-5,3,2]=>[-1,-4,3,-5,2]
[-4,-1,-5,3,-2]=>[4,-1,3,-5,-2]
[-4,-1,-5,-3,2]=>[-1,-3,5,4,2]
[-4,-1,-5,-3,-2]=>[3,-1,5,4,-2]
[4,2,1,3,5]=>[-4,-2,1,3,5]
[4,2,1,3,-5]=>[-4,-2,1,3,-5]
[4,2,1,-3,5]=>[-2,1,-4,-3,5]
[4,2,1,-3,-5]=>[-2,1,-4,-3,-5]
[4,2,-1,3,5]=>[-4,-2,-1,3,5]
[4,2,-1,3,-5]=>[-4,-2,-1,3,-5]
[4,2,-1,-3,5]=>[-2,-1,-4,-3,5]
[4,2,-1,-3,-5]=>[-2,-1,-4,-3,-5]
[4,-2,1,3,5]=>[-2,1,4,3,5]
[4,-2,1,3,-5]=>[-2,1,4,3,-5]
[4,-2,1,-3,5]=>[4,-2,1,-3,5]
[4,-2,1,-3,-5]=>[4,-2,1,-3,-5]
[4,-2,-1,3,5]=>[-2,-1,4,3,5]
[4,-2,-1,3,-5]=>[-2,-1,4,3,-5]
[4,-2,-1,-3,5]=>[4,-2,-1,-3,5]
[4,-2,-1,-3,-5]=>[4,-2,-1,-3,-5]
[-4,2,1,3,5]=>[-4,2,1,3,5]
[-4,2,1,3,-5]=>[-4,2,1,3,-5]
[-4,2,1,-3,5]=>[2,1,-4,-3,5]
[-4,2,1,-3,-5]=>[2,1,-4,-3,-5]
[-4,2,-1,3,5]=>[-4,2,-1,3,5]
[-4,2,-1,3,-5]=>[-4,2,-1,3,-5]
[-4,2,-1,-3,5]=>[2,-1,-4,-3,5]
[-4,2,-1,-3,-5]=>[2,-1,-4,-3,-5]
[-4,-2,1,3,5]=>[2,1,4,3,5]
[-4,-2,1,3,-5]=>[2,1,4,3,-5]
[-4,-2,1,-3,5]=>[4,2,1,-3,5]
[-4,-2,1,-3,-5]=>[4,2,1,-3,-5]
[-4,-2,-1,3,5]=>[2,-1,4,3,5]
[-4,-2,-1,3,-5]=>[2,-1,4,3,-5]
[-4,-2,-1,-3,5]=>[4,2,-1,-3,5]
[-4,-2,-1,-3,-5]=>[4,2,-1,-3,-5]
[4,2,1,5,3]=>[-2,-5,1,-4,3]
[4,2,1,5,-3]=>[-2,1,5,-4,-3]
[4,2,1,-5,3]=>[-4,-2,-5,1,3]
[4,2,1,-5,-3]=>[-2,-5,1,4,-3]
[4,2,-1,5,3]=>[-2,-5,-1,-4,3]
[4,2,-1,5,-3]=>[-2,-1,5,-4,-3]
[4,2,-1,-5,3]=>[-4,-2,-5,-1,3]
[4,2,-1,-5,-3]=>[-2,-5,-1,4,-3]
[4,-2,1,5,3]=>[-2,5,1,-4,3]
[4,-2,1,5,-3]=>[4,-2,5,1,-3]
[4,-2,1,-5,3]=>[-2,1,-5,4,3]
[4,-2,1,-5,-3]=>[-2,5,1,4,-3]
[4,-2,-1,5,3]=>[-2,5,-1,-4,3]
[4,-2,-1,5,-3]=>[4,-2,5,-1,-3]
[4,-2,-1,-5,3]=>[-2,-1,-5,4,3]
[4,-2,-1,-5,-3]=>[-2,5,-1,4,-3]
[-4,2,1,5,3]=>[2,-5,1,-4,3]
[-4,2,1,5,-3]=>[2,1,5,-4,-3]
[-4,2,1,-5,3]=>[-4,2,-5,1,3]
[-4,2,1,-5,-3]=>[2,-5,1,4,-3]
[-4,2,-1,5,3]=>[2,-5,-1,-4,3]
[-4,2,-1,5,-3]=>[2,-1,5,-4,-3]
[-4,2,-1,-5,3]=>[-4,2,-5,-1,3]
[-4,2,-1,-5,-3]=>[2,-5,-1,4,-3]
[-4,-2,1,5,3]=>[2,5,1,-4,3]
[-4,-2,1,5,-3]=>[4,2,5,1,-3]
[-4,-2,1,-5,3]=>[2,1,-5,4,3]
[-4,-2,1,-5,-3]=>[2,5,1,4,-3]
[-4,-2,-1,5,3]=>[2,5,-1,-4,3]
[-4,-2,-1,5,-3]=>[4,2,5,-1,-3]
[-4,-2,-1,-5,3]=>[2,-1,-5,4,3]
[-4,-2,-1,-5,-3]=>[2,5,-1,4,-3]
[4,2,3,1,5]=>[2,3,-4,1,5]
[4,2,3,1,-5]=>[2,3,-4,1,-5]
[4,2,3,-1,5]=>[2,3,-4,-1,5]
[4,2,3,-1,-5]=>[2,3,-4,-1,-5]
[4,2,-3,1,5]=>[4,-3,2,1,5]
[4,2,-3,1,-5]=>[4,-3,2,1,-5]
[4,2,-3,-1,5]=>[4,-3,2,-1,5]
[4,2,-3,-1,-5]=>[4,-3,2,-1,-5]
[4,-2,3,1,5]=>[3,-4,-2,1,5]
[4,-2,3,1,-5]=>[3,-4,-2,1,-5]
[4,-2,3,-1,5]=>[3,-4,-2,-1,5]
[4,-2,3,-1,-5]=>[3,-4,-2,-1,-5]
[4,-2,-3,1,5]=>[-4,-3,2,1,5]
[4,-2,-3,1,-5]=>[-4,-3,2,1,-5]
[4,-2,-3,-1,5]=>[-4,-3,2,-1,5]
[4,-2,-3,-1,-5]=>[-4,-3,2,-1,-5]
[-4,2,3,1,5]=>[4,3,-2,1,5]
[-4,2,3,1,-5]=>[4,3,-2,1,-5]
[-4,2,3,-1,5]=>[4,3,-2,-1,5]
[-4,2,3,-1,-5]=>[4,3,-2,-1,-5]
[-4,2,-3,1,5]=>[-3,4,2,1,5]
[-4,2,-3,1,-5]=>[-3,4,2,1,-5]
[-4,2,-3,-1,5]=>[-3,4,2,-1,5]
[-4,2,-3,-1,-5]=>[-3,4,2,-1,-5]
[-4,-2,3,1,5]=>[-4,3,-2,1,5]
[-4,-2,3,1,-5]=>[-4,3,-2,1,-5]
[-4,-2,3,-1,5]=>[-4,3,-2,-1,5]
[-4,-2,3,-1,-5]=>[-4,3,-2,-1,-5]
[-4,-2,-3,1,5]=>[-2,-3,4,1,5]
[-4,-2,-3,1,-5]=>[-2,-3,4,1,-5]
[-4,-2,-3,-1,5]=>[-2,-3,4,-1,5]
[-4,-2,-3,-1,-5]=>[-2,-3,4,-1,-5]
[4,2,3,5,1]=>[2,3,5,-4,1]
[4,2,3,5,-1]=>[2,3,5,-4,-1]
[4,2,3,-5,1]=>[5,4,2,3,1]
[4,2,3,-5,-1]=>[5,4,2,3,-1]
[4,2,-3,5,1]=>[5,-2,-4,-3,1]
[4,2,-3,5,-1]=>[5,-2,-4,-3,-1]
[4,2,-3,-5,1]=>[4,-3,-5,2,1]
[4,2,-3,-5,-1]=>[4,-3,-5,2,-1]
[4,-2,3,5,1]=>[3,-4,5,-2,1]
[4,-2,3,5,-1]=>[3,-4,5,-2,-1]
[4,-2,3,-5,1]=>[2,-5,4,3,1]
[4,-2,3,-5,-1]=>[2,-5,4,3,-1]
[4,-2,-3,5,1]=>[-5,-2,-4,-3,1]
[4,-2,-3,5,-1]=>[-5,-2,-4,-3,-1]
[4,-2,-3,-5,1]=>[-4,-3,-5,2,1]
[4,-2,-3,-5,-1]=>[-4,-3,-5,2,-1]
[-4,2,3,5,1]=>[4,3,5,-2,1]
[-4,2,3,5,-1]=>[4,3,5,-2,-1]
[-4,2,3,-5,1]=>[5,2,4,3,1]
[-4,2,3,-5,-1]=>[5,2,4,3,-1]
[-4,2,-3,5,1]=>[-2,5,-4,-3,1]
[-4,2,-3,5,-1]=>[-2,5,-4,-3,-1]
[-4,2,-3,-5,1]=>[-3,4,-5,2,1]
[-4,2,-3,-5,-1]=>[-3,4,-5,2,-1]
[-4,-2,3,5,1]=>[-4,3,5,-2,1]
[-4,-2,3,5,-1]=>[-4,3,5,-2,-1]
[-4,-2,3,-5,1]=>[-5,2,4,3,1]
[-4,-2,3,-5,-1]=>[-5,2,4,3,-1]
[-4,-2,-3,5,1]=>[-5,-4,-2,-3,1]
[-4,-2,-3,5,-1]=>[-5,-4,-2,-3,-1]
[-4,-2,-3,-5,1]=>[-2,-3,-5,4,1]
[-4,-2,-3,-5,-1]=>[-2,-3,-5,4,-1]
[4,2,5,1,3]=>[-4,-2,5,1,3]
[4,2,5,1,-3]=>[5,-2,1,-4,-3]
[4,2,5,-1,3]=>[-4,-2,5,-1,3]
[4,2,5,-1,-3]=>[5,-2,-1,-4,-3]
[4,2,-5,1,3]=>[5,2,4,1,3]
[4,2,-5,1,-3]=>[-4,-5,2,1,-3]
[4,2,-5,-1,3]=>[5,2,4,-1,3]
[4,2,-5,-1,-3]=>[-4,-5,2,-1,-3]
[4,-2,5,1,3]=>[-4,5,-2,1,3]
[4,-2,5,1,-3]=>[-2,-5,-4,1,-3]
[4,-2,5,-1,3]=>[-4,5,-2,-1,3]
[4,-2,5,-1,-3]=>[-2,-5,-4,-1,-3]
[4,-2,-5,1,3]=>[-5,-2,1,4,3]
[4,-2,-5,1,-3]=>[4,-2,-5,1,-3]
[4,-2,-5,-1,3]=>[-5,-2,-1,4,3]
[4,-2,-5,-1,-3]=>[4,-2,-5,-1,-3]
[-4,2,5,1,3]=>[-4,2,5,1,3]
[-4,2,5,1,-3]=>[5,2,1,-4,-3]
[-4,2,5,-1,3]=>[-4,2,5,-1,3]
[-4,2,5,-1,-3]=>[5,2,-1,-4,-3]
[-4,2,-5,1,3]=>[2,5,4,1,3]
[-4,2,-5,1,-3]=>[4,-5,2,1,-3]
[-4,2,-5,-1,3]=>[2,5,4,-1,3]
[-4,2,-5,-1,-3]=>[4,-5,2,-1,-3]
[-4,-2,5,1,3]=>[4,5,-2,1,3]
[-4,-2,5,1,-3]=>[-5,-2,-4,1,-3]
[-4,-2,5,-1,3]=>[4,5,-2,-1,3]
[-4,-2,5,-1,-3]=>[-5,-2,-4,-1,-3]
[-4,-2,-5,1,3]=>[-5,2,1,4,3]
[-4,-2,-5,1,-3]=>[4,2,-5,1,-3]
[-4,-2,-5,-1,3]=>[-5,2,-1,4,3]
[-4,-2,-5,-1,-3]=>[4,2,-5,-1,-3]
[4,2,5,3,1]=>[-2,3,-5,-4,1]
[4,2,5,3,-1]=>[-2,3,-5,-4,-1]
[4,2,5,-3,1]=>[4,2,-3,5,1]
[4,2,5,-3,-1]=>[4,2,-3,5,-1]
[4,2,-5,3,1]=>[2,-4,3,-5,1]
[4,2,-5,3,-1]=>[2,-4,3,-5,-1]
[4,2,-5,-3,1]=>[-3,5,2,4,1]
[4,2,-5,-3,-1]=>[-3,5,2,4,-1]
[4,-2,5,3,1]=>[-3,-5,-2,-4,1]
[4,-2,5,3,-1]=>[-3,-5,-2,-4,-1]
[4,-2,5,-3,1]=>[-4,2,-3,5,1]
[4,-2,5,-3,-1]=>[-4,2,-3,5,-1]
[4,-2,-5,3,1]=>[3,-4,-5,-2,1]
[4,-2,-5,3,-1]=>[3,-4,-5,-2,-1]
[4,-2,-5,-3,1]=>[-2,-3,5,4,1]
[4,-2,-5,-3,-1]=>[-2,-3,5,4,-1]
[-4,2,5,3,1]=>[2,3,-5,-4,1]
[-4,2,5,3,-1]=>[2,3,-5,-4,-1]
[-4,2,5,-3,1]=>[-3,4,5,2,1]
[-4,2,5,-3,-1]=>[-3,4,5,2,-1]
[-4,2,-5,3,1]=>[4,-2,3,-5,1]
[-4,2,-5,3,-1]=>[4,-2,3,-5,-1]
[-4,2,-5,-3,1]=>[3,5,2,4,1]
[-4,2,-5,-3,-1]=>[3,5,2,4,-1]
[-4,-2,5,3,1]=>[3,-5,-2,-4,1]
[-4,-2,5,3,-1]=>[3,-5,-2,-4,-1]
[-4,-2,5,-3,1]=>[-2,4,-3,5,1]
[-4,-2,5,-3,-1]=>[-2,4,-3,5,-1]
[-4,-2,-5,3,1]=>[-4,-2,3,-5,1]
[-4,-2,-5,3,-1]=>[-4,-2,3,-5,-1]
[-4,-2,-5,-3,1]=>[2,-3,5,4,1]
[-4,-2,-5,-3,-1]=>[2,-3,5,4,-1]
[4,3,1,2,5]=>[-4,3,1,2,5]
[4,3,1,2,-5]=>[-4,3,1,2,-5]
[4,3,1,-2,5]=>[1,-3,-4,-2,5]
[4,3,1,-2,-5]=>[1,-3,-4,-2,-5]
[4,3,-1,2,5]=>[-4,3,-1,2,5]
[4,3,-1,2,-5]=>[-4,3,-1,2,-5]
[4,3,-1,-2,5]=>[-1,-3,-4,-2,5]
[4,3,-1,-2,-5]=>[-1,-3,-4,-2,-5]
[4,-3,1,2,5]=>[3,1,4,2,5]
[4,-3,1,2,-5]=>[3,1,4,2,-5]
[4,-3,1,-2,5]=>[-4,-3,1,-2,5]
[4,-3,1,-2,-5]=>[-4,-3,1,-2,-5]
[4,-3,-1,2,5]=>[3,-1,4,2,5]
[4,-3,-1,2,-5]=>[3,-1,4,2,-5]
[4,-3,-1,-2,5]=>[-4,-3,-1,-2,5]
[4,-3,-1,-2,-5]=>[-4,-3,-1,-2,-5]
[-4,3,1,2,5]=>[4,3,1,2,5]
[-4,3,1,2,-5]=>[4,3,1,2,-5]
[-4,3,1,-2,5]=>[-3,1,-4,-2,5]
[-4,3,1,-2,-5]=>[-3,1,-4,-2,-5]
[-4,3,-1,2,5]=>[4,3,-1,2,5]
[-4,3,-1,2,-5]=>[4,3,-1,2,-5]
[-4,3,-1,-2,5]=>[-3,-1,-4,-2,5]
[-4,3,-1,-2,-5]=>[-3,-1,-4,-2,-5]
[-4,-3,1,2,5]=>[1,3,4,2,5]
[-4,-3,1,2,-5]=>[1,3,4,2,-5]
[-4,-3,1,-2,5]=>[4,-3,1,-2,5]
[-4,-3,1,-2,-5]=>[4,-3,1,-2,-5]
[-4,-3,-1,2,5]=>[-1,3,4,2,5]
[-4,-3,-1,2,-5]=>[-1,3,4,2,-5]
[-4,-3,-1,-2,5]=>[4,-3,-1,-2,5]
[-4,-3,-1,-2,-5]=>[4,-3,-1,-2,-5]
[4,3,1,5,2]=>[-5,-3,1,-4,2]
[4,3,1,5,-2]=>[1,-3,5,-4,-2]
[4,3,1,-5,2]=>[-4,3,-5,1,2]
[4,3,1,-5,-2]=>[-4,-5,1,3,-2]
[4,3,-1,5,2]=>[-5,-3,-1,-4,2]
[4,3,-1,5,-2]=>[-1,-3,5,-4,-2]
[4,3,-1,-5,2]=>[-4,3,-5,-1,2]
[4,3,-1,-5,-2]=>[-4,-5,-1,3,-2]
[4,-3,1,5,2]=>[-4,5,1,-3,2]
[4,-3,1,5,-2]=>[-4,-3,5,1,-2]
[4,-3,1,-5,2]=>[3,1,-5,4,2]
[4,-3,1,-5,-2]=>[-5,3,1,4,-2]
[4,-3,-1,5,2]=>[-4,5,-1,-3,2]
[4,-3,-1,5,-2]=>[-4,-3,5,-1,-2]
[4,-3,-1,-5,2]=>[3,-1,-5,4,2]
[4,-3,-1,-5,-2]=>[-5,3,-1,4,-2]
[-4,3,1,5,2]=>[5,-3,1,-4,2]
[-4,3,1,5,-2]=>[-3,1,5,-4,-2]
[-4,3,1,-5,2]=>[4,3,-5,1,2]
[-4,3,1,-5,-2]=>[4,-5,1,3,-2]
[-4,3,-1,5,2]=>[5,-3,-1,-4,2]
[-4,3,-1,5,-2]=>[-3,-1,5,-4,-2]
[-4,3,-1,-5,2]=>[4,3,-5,-1,2]
[-4,3,-1,-5,-2]=>[4,-5,-1,3,-2]
[-4,-3,1,5,2]=>[4,5,1,-3,2]
[-4,-3,1,5,-2]=>[4,-3,5,1,-2]
[-4,-3,1,-5,2]=>[1,3,-5,4,2]
[-4,-3,1,-5,-2]=>[5,3,1,4,-2]
[-4,-3,-1,5,2]=>[4,5,-1,-3,2]
[-4,-3,-1,5,-2]=>[4,-3,5,-1,-2]
[-4,-3,-1,-5,2]=>[-1,3,-5,4,2]
[-4,-3,-1,-5,-2]=>[5,3,-1,4,-2]
[4,3,2,1,5]=>[-2,-3,-4,1,5]
[4,3,2,1,-5]=>[-2,-3,-4,1,-5]
[4,3,2,-1,5]=>[-2,-3,-4,-1,5]
[4,3,2,-1,-5]=>[-2,-3,-4,-1,-5]
[4,3,-2,1,5]=>[-4,-2,3,1,5]
[4,3,-2,1,-5]=>[-4,-2,3,1,-5]
[4,3,-2,-1,5]=>[-4,-2,3,-1,5]
[4,3,-2,-1,-5]=>[-4,-2,3,-1,-5]
[4,-3,2,1,5]=>[-4,2,-3,1,5]
[4,-3,2,1,-5]=>[-4,2,-3,1,-5]
[4,-3,2,-1,5]=>[-4,2,-3,-1,5]
[4,-3,2,-1,-5]=>[-4,2,-3,-1,-5]
[4,-3,-2,1,5]=>[-2,3,4,1,5]
[4,-3,-2,1,-5]=>[-2,3,4,1,-5]
[4,-3,-2,-1,5]=>[-2,3,4,-1,5]
[4,-3,-2,-1,-5]=>[-2,3,4,-1,-5]
[-4,3,2,1,5]=>[2,-3,-4,1,5]
[-4,3,2,1,-5]=>[2,-3,-4,1,-5]
[-4,3,2,-1,5]=>[2,-3,-4,-1,5]
[-4,3,2,-1,-5]=>[2,-3,-4,-1,-5]
[-4,3,-2,1,5]=>[4,-2,3,1,5]
[-4,3,-2,1,-5]=>[4,-2,3,1,-5]
[-4,3,-2,-1,5]=>[4,-2,3,-1,5]
[-4,3,-2,-1,-5]=>[4,-2,3,-1,-5]
[-4,-3,2,1,5]=>[4,2,-3,1,5]
[-4,-3,2,1,-5]=>[4,2,-3,1,-5]
[-4,-3,2,-1,5]=>[4,2,-3,-1,5]
[-4,-3,2,-1,-5]=>[4,2,-3,-1,-5]
[-4,-3,-2,1,5]=>[2,3,4,1,5]
[-4,-3,-2,1,-5]=>[2,3,4,1,-5]
[-4,-3,-2,-1,5]=>[2,3,4,-1,5]
[-4,-3,-2,-1,-5]=>[2,3,4,-1,-5]
[4,3,2,5,1]=>[-2,-3,5,-4,1]
[4,3,2,5,-1]=>[-2,-3,5,-4,-1]
[4,3,2,-5,1]=>[-4,-5,3,2,1]
[4,3,2,-5,-1]=>[-4,-5,3,2,-1]
[4,3,-2,5,1]=>[-5,-3,-4,-2,1]
[4,3,-2,5,-1]=>[-5,-3,-4,-2,-1]
[4,3,-2,-5,1]=>[-4,-2,-5,3,1]
[4,3,-2,-5,-1]=>[-4,-2,-5,3,-1]
[4,-3,2,5,1]=>[-4,2,5,-3,1]
[4,-3,2,5,-1]=>[-4,2,5,-3,-1]
[4,-3,2,-5,1]=>[-5,3,4,2,1]
[4,-3,2,-5,-1]=>[-5,3,4,2,-1]
[4,-3,-2,5,1]=>[-4,5,-3,-2,1]
[4,-3,-2,5,-1]=>[-4,5,-3,-2,-1]
[4,-3,-2,-5,1]=>[-2,3,-5,4,1]
[4,-3,-2,-5,-1]=>[-2,3,-5,4,-1]
[-4,3,2,5,1]=>[2,-3,5,-4,1]
[-4,3,2,5,-1]=>[2,-3,5,-4,-1]
[-4,3,2,-5,1]=>[4,-5,3,2,1]
[-4,3,2,-5,-1]=>[4,-5,3,2,-1]
[-4,3,-2,5,1]=>[5,-3,-4,-2,1]
[-4,3,-2,5,-1]=>[5,-3,-4,-2,-1]
[-4,3,-2,-5,1]=>[4,-2,-5,3,1]
[-4,3,-2,-5,-1]=>[4,-2,-5,3,-1]
[-4,-3,2,5,1]=>[4,2,5,-3,1]
[-4,-3,2,5,-1]=>[4,2,5,-3,-1]
[-4,-3,2,-5,1]=>[5,3,4,2,1]
[-4,-3,2,-5,-1]=>[5,3,4,2,-1]
[-4,-3,-2,5,1]=>[4,5,-3,-2,1]
[-4,-3,-2,5,-1]=>[4,5,-3,-2,-1]
[-4,-3,-2,-5,1]=>[2,3,-5,4,1]
[-4,-3,-2,-5,-1]=>[2,3,-5,4,-1]
[4,3,5,1,2]=>[-4,3,5,1,2]
[4,3,5,1,-2]=>[-5,-3,1,-4,-2]
[4,3,5,-1,2]=>[-4,3,5,-1,2]
[4,3,5,-1,-2]=>[-5,-3,-1,-4,-2]
[4,3,-5,1,2]=>[5,1,4,3,2]
[4,3,-5,1,-2]=>[-4,3,-5,1,-2]
[4,3,-5,-1,2]=>[5,-1,4,3,2]
[4,3,-5,-1,-2]=>[-4,3,-5,-1,-2]
[4,-3,5,1,2]=>[-4,-3,5,1,2]
[4,-3,5,1,-2]=>[1,-5,-4,-3,-2]
[4,-3,5,-1,2]=>[-4,-3,5,-1,2]
[4,-3,5,-1,-2]=>[-1,-5,-4,-3,-2]
[4,-3,-5,1,2]=>[-5,3,1,4,2]
[4,-3,-5,1,-2]=>[-4,-3,-5,1,-2]
[4,-3,-5,-1,2]=>[-5,3,-1,4,2]
[4,-3,-5,-1,-2]=>[-4,-3,-5,-1,-2]
[-4,3,5,1,2]=>[4,3,5,1,2]
[-4,3,5,1,-2]=>[5,-3,1,-4,-2]
[-4,3,5,-1,2]=>[4,3,5,-1,2]
[-4,3,5,-1,-2]=>[5,-3,-1,-4,-2]
[-4,3,-5,1,2]=>[1,5,4,3,2]
[-4,3,-5,1,-2]=>[4,3,-5,1,-2]
[-4,3,-5,-1,2]=>[-1,5,4,3,2]
[-4,3,-5,-1,-2]=>[4,3,-5,-1,-2]
[-4,-3,5,1,2]=>[4,-3,5,1,2]
[-4,-3,5,1,-2]=>[-5,1,-4,-3,-2]
[-4,-3,5,-1,2]=>[4,-3,5,-1,2]
[-4,-3,5,-1,-2]=>[-5,-1,-4,-3,-2]
[-4,-3,-5,1,2]=>[5,3,1,4,2]
[-4,-3,-5,1,-2]=>[4,-3,-5,1,-2]
[-4,-3,-5,-1,2]=>[5,3,-1,4,2]
[-4,-3,-5,-1,-2]=>[4,-3,-5,-1,-2]
[4,3,5,2,1]=>[-5,2,-3,-4,1]
[4,3,5,2,-1]=>[-5,2,-3,-4,-1]
[4,3,5,-2,1]=>[-4,3,-2,5,1]
[4,3,5,-2,-1]=>[-4,3,-2,5,-1]
[4,3,-5,2,1]=>[-4,3,2,-5,1]
[4,3,-5,2,-1]=>[-4,3,2,-5,-1]
[4,3,-5,-2,1]=>[-2,5,4,3,1]
[4,3,-5,-2,-1]=>[-2,5,4,3,-1]
[4,-3,5,2,1]=>[-2,-5,-4,-3,1]
[4,-3,5,2,-1]=>[-2,-5,-4,-3,-1]
[4,-3,5,-2,1]=>[-4,-3,-2,5,1]
[4,-3,5,-2,-1]=>[-4,-3,-2,5,-1]
[4,-3,-5,2,1]=>[-4,-3,2,-5,1]
[4,-3,-5,2,-1]=>[-4,-3,2,-5,-1]
[4,-3,-5,-2,1]=>[-5,-2,3,4,1]
[4,-3,-5,-2,-1]=>[-5,-2,3,4,-1]
[-4,3,5,2,1]=>[5,2,-3,-4,1]
[-4,3,5,2,-1]=>[5,2,-3,-4,-1]
[-4,3,5,-2,1]=>[4,3,-2,5,1]
[-4,3,5,-2,-1]=>[4,3,-2,5,-1]
[-4,3,-5,2,1]=>[4,3,2,-5,1]
[-4,3,-5,2,-1]=>[4,3,2,-5,-1]
[-4,3,-5,-2,1]=>[2,5,4,3,1]
[-4,3,-5,-2,-1]=>[2,5,4,3,-1]
[-4,-3,5,2,1]=>[2,-5,-4,-3,1]
[-4,-3,5,2,-1]=>[2,-5,-4,-3,-1]
[-4,-3,5,-2,1]=>[4,-3,-2,5,1]
[-4,-3,5,-2,-1]=>[4,-3,-2,5,-1]
[-4,-3,-5,2,1]=>[4,-3,2,-5,1]
[-4,-3,-5,2,-1]=>[4,-3,2,-5,-1]
[-4,-3,-5,-2,1]=>[5,-2,3,4,1]
[-4,-3,-5,-2,-1]=>[5,-2,3,4,-1]
[4,5,1,2,3]=>[1,4,5,2,3]
[4,5,1,2,-3]=>[5,-4,1,2,-3]
[4,5,1,-2,3]=>[5,-4,1,-2,3]
[4,5,1,-2,-3]=>[1,-5,-2,-4,-3]
[4,5,-1,2,3]=>[-1,4,5,2,3]
[4,5,-1,2,-3]=>[5,-4,-1,2,-3]
[4,5,-1,-2,3]=>[5,-4,-1,-2,3]
[4,5,-1,-2,-3]=>[-1,-5,-2,-4,-3]
[4,-5,1,2,3]=>[1,2,5,4,3]
[4,-5,1,2,-3]=>[5,4,1,2,-3]
[4,-5,1,-2,3]=>[5,4,1,-2,3]
[4,-5,1,-2,-3]=>[-4,1,-5,-2,-3]
[4,-5,-1,2,3]=>[-1,2,5,4,3]
[4,-5,-1,2,-3]=>[5,4,-1,2,-3]
[4,-5,-1,-2,3]=>[5,4,-1,-2,3]
[4,-5,-1,-2,-3]=>[-4,-1,-5,-2,-3]
[-4,5,1,2,3]=>[4,1,5,2,3]
[-4,5,1,2,-3]=>[-5,-4,1,2,-3]
[-4,5,1,-2,3]=>[-5,-4,1,-2,3]
[-4,5,1,-2,-3]=>[1,-2,-5,-4,-3]
[-4,5,-1,2,3]=>[4,-1,5,2,3]
[-4,5,-1,2,-3]=>[-5,-4,-1,2,-3]
[-4,5,-1,-2,3]=>[-5,-4,-1,-2,3]
[-4,5,-1,-2,-3]=>[-1,-2,-5,-4,-3]
[-4,-5,1,2,3]=>[1,5,2,4,3]
[-4,-5,1,2,-3]=>[-5,4,1,2,-3]
[-4,-5,1,-2,3]=>[-5,4,1,-2,3]
[-4,-5,1,-2,-3]=>[1,-4,-5,-2,-3]
[-4,-5,-1,2,3]=>[-1,5,2,4,3]
[-4,-5,-1,2,-3]=>[-5,4,-1,2,-3]
[-4,-5,-1,-2,3]=>[-5,4,-1,-2,3]
[-4,-5,-1,-2,-3]=>[-1,-4,-5,-2,-3]
[4,5,1,3,2]=>[5,3,1,-4,2]
[4,5,1,3,-2]=>[5,-4,3,1,-2]
[4,5,1,-3,2]=>[5,-4,-3,1,2]
[4,5,1,-3,-2]=>[-4,1,-3,5,-2]
[4,5,-1,3,2]=>[5,3,-1,-4,2]
[4,5,-1,3,-2]=>[5,-4,3,-1,-2]
[4,5,-1,-3,2]=>[5,-4,-3,-1,2]
[4,5,-1,-3,-2]=>[-4,-1,-3,5,-2]
[4,-5,1,3,2]=>[1,4,3,-5,2]
[4,-5,1,3,-2]=>[5,4,3,1,-2]
[4,-5,1,-3,2]=>[5,4,-3,1,2]
[4,-5,1,-3,-2]=>[5,-3,1,4,-2]
[4,-5,-1,3,2]=>[-1,4,3,-5,2]
[4,-5,-1,3,-2]=>[5,4,3,-1,-2]
[4,-5,-1,-3,2]=>[5,4,-3,-1,2]
[4,-5,-1,-3,-2]=>[5,-3,-1,4,-2]
[-4,5,1,3,2]=>[-5,3,1,-4,2]
[-4,5,1,3,-2]=>[-5,-4,3,1,-2]
[-4,5,1,-3,2]=>[-5,-4,-3,1,2]
[-4,5,1,-3,-2]=>[1,-4,-3,5,-2]
[-4,5,-1,3,2]=>[-5,3,-1,-4,2]
[-4,5,-1,3,-2]=>[-5,-4,3,-1,-2]
[-4,5,-1,-3,2]=>[-5,-4,-3,-1,2]
[-4,5,-1,-3,-2]=>[-1,-4,-3,5,-2]
[-4,-5,1,3,2]=>[4,1,3,-5,2]
[-4,-5,1,3,-2]=>[-5,4,3,1,-2]
[-4,-5,1,-3,2]=>[-5,4,-3,1,2]
[-4,-5,1,-3,-2]=>[-5,-3,1,4,-2]
[-4,-5,-1,3,2]=>[4,-1,3,-5,2]
[-4,-5,-1,3,-2]=>[-5,4,3,-1,-2]
[-4,-5,-1,-3,2]=>[-5,4,-3,-1,2]
[-4,-5,-1,-3,-2]=>[-5,-3,-1,4,-2]
[4,5,2,1,3]=>[-5,-4,2,1,3]
[4,5,2,1,-3]=>[2,1,-5,-4,-3]
[4,5,2,-1,3]=>[-5,-4,2,-1,3]
[4,5,2,-1,-3]=>[2,-1,-5,-4,-3]
[4,5,-2,1,3]=>[-2,4,1,5,3]
[4,5,-2,1,-3]=>[-4,5,-2,1,-3]
[4,5,-2,-1,3]=>[-2,4,-1,5,3]
[4,5,-2,-1,-3]=>[-4,5,-2,-1,-3]
[4,-5,2,1,3]=>[2,-5,4,1,3]
[4,-5,2,1,-3]=>[-4,2,1,-5,-3]
[4,-5,2,-1,3]=>[2,-5,4,-1,3]
[4,-5,2,-1,-3]=>[-4,2,-1,-5,-3]
[4,-5,-2,1,3]=>[2,1,5,4,3]
[4,-5,-2,1,-3]=>[5,4,2,1,-3]
[4,-5,-2,-1,3]=>[2,-1,5,4,3]
[4,-5,-2,-1,-3]=>[5,4,2,-1,-3]
[-4,5,2,1,3]=>[-5,-4,-2,1,3]
[-4,5,2,1,-3]=>[-2,1,-5,-4,-3]
[-4,5,2,-1,3]=>[-5,-4,-2,-1,3]
[-4,5,2,-1,-3]=>[-2,-1,-5,-4,-3]
[-4,5,-2,1,3]=>[4,-2,1,5,3]
[-4,5,-2,1,-3]=>[-2,5,-4,1,-3]
[-4,5,-2,-1,3]=>[4,-2,-1,5,3]
[-4,5,-2,-1,-3]=>[-2,5,-4,-1,-3]
[-4,-5,2,1,3]=>[4,-5,2,1,3]
[-4,-5,2,1,-3]=>[2,-4,1,-5,-3]
[-4,-5,2,-1,3]=>[4,-5,2,-1,3]
[-4,-5,2,-1,-3]=>[2,-4,-1,-5,-3]
[-4,-5,-2,1,3]=>[-2,1,5,4,3]
[-4,-5,-2,1,-3]=>[5,4,-2,1,-3]
[-4,-5,-2,-1,3]=>[-2,-1,5,4,3]
[-4,-5,-2,-1,-3]=>[5,4,-2,-1,-3]
[4,5,2,3,1]=>[5,2,3,-4,1]
[4,5,2,3,-1]=>[5,2,3,-4,-1]
[4,5,2,-3,1]=>[-4,5,-3,2,1]
[4,5,2,-3,-1]=>[-4,5,-3,2,-1]
[4,5,-2,3,1]=>[5,3,-4,-2,1]
[4,5,-2,3,-1]=>[5,3,-4,-2,-1]
[4,5,-2,-3,1]=>[-2,-4,-3,5,1]
[4,5,-2,-3,-1]=>[-2,-4,-3,5,-1]
[4,-5,2,3,1]=>[5,4,3,-2,1]
[4,-5,2,3,-1]=>[5,4,3,-2,-1]
[4,-5,2,-3,1]=>[5,-3,4,2,1]
[4,-5,2,-3,-1]=>[5,-3,4,2,-1]
[4,-5,-2,3,1]=>[-5,4,3,-2,1]
[4,-5,-2,3,-1]=>[-5,4,3,-2,-1]
[4,-5,-2,-3,1]=>[5,-2,-3,4,1]
[4,-5,-2,-3,-1]=>[5,-2,-3,4,-1]
[-4,5,2,3,1]=>[-5,2,3,-4,1]
[-4,5,2,3,-1]=>[-5,2,3,-4,-1]
[-4,5,2,-3,1]=>[5,-4,-3,2,1]
[-4,5,2,-3,-1]=>[5,-4,-3,2,-1]
[-4,5,-2,3,1]=>[-5,3,-4,-2,1]
[-4,5,-2,3,-1]=>[-5,3,-4,-2,-1]
[-4,5,-2,-3,1]=>[-5,-4,-3,2,1]
[-4,5,-2,-3,-1]=>[-5,-4,-3,2,-1]
[-4,-5,2,3,1]=>[2,4,3,-5,1]
[-4,-5,2,3,-1]=>[2,4,3,-5,-1]
[-4,-5,2,-3,1]=>[-5,-3,4,2,1]
[-4,-5,2,-3,-1]=>[-5,-3,4,2,-1]
[-4,-5,-2,3,1]=>[4,-5,3,-2,1]
[-4,-5,-2,3,-1]=>[4,-5,3,-2,-1]
[-4,-5,-2,-3,1]=>[-5,-2,-3,4,1]
[-4,-5,-2,-3,-1]=>[-5,-2,-3,4,-1]
[4,5,3,1,2]=>[5,-4,3,1,2]
[4,5,3,1,-2]=>[-3,1,-5,-4,-2]
[4,5,3,-1,2]=>[5,-4,3,-1,2]
[4,5,3,-1,-2]=>[-3,-1,-5,-4,-2]
[4,5,-3,1,2]=>[3,4,1,5,2]
[4,5,-3,1,-2]=>[5,-4,-3,1,-2]
[4,5,-3,-1,2]=>[3,4,-1,5,2]
[4,5,-3,-1,-2]=>[5,-4,-3,-1,-2]
[4,-5,3,1,2]=>[5,4,3,1,2]
[4,-5,3,1,-2]=>[3,-4,1,-5,-2]
[4,-5,3,-1,2]=>[5,4,3,-1,2]
[4,-5,3,-1,-2]=>[3,-4,-1,-5,-2]
[4,-5,-3,1,2]=>[1,3,5,4,2]
[4,-5,-3,1,-2]=>[5,4,-3,1,-2]
[4,-5,-3,-1,2]=>[-1,3,5,4,2]
[4,-5,-3,-1,-2]=>[5,4,-3,-1,-2]
[-4,5,3,1,2]=>[-5,-4,3,1,2]
[-4,5,3,1,-2]=>[1,-3,-5,-4,-2]
[-4,5,3,-1,2]=>[-5,-4,3,-1,2]
[-4,5,3,-1,-2]=>[-1,-3,-5,-4,-2]
[-4,5,-3,1,2]=>[-3,4,1,5,2]
[-4,5,-3,1,-2]=>[-5,-4,-3,1,-2]
[-4,5,-3,-1,2]=>[-3,4,-1,5,2]
[-4,5,-3,-1,-2]=>[-5,-4,-3,-1,-2]
[-4,-5,3,1,2]=>[-5,4,3,1,2]
[-4,-5,3,1,-2]=>[-3,-4,1,-5,-2]
[-4,-5,3,-1,2]=>[-5,4,3,-1,2]
[-4,-5,3,-1,-2]=>[-3,-4,-1,-5,-2]
[-4,-5,-3,1,2]=>[3,1,5,4,2]
[-4,-5,-3,1,-2]=>[-5,4,-3,1,-2]
[-4,-5,-3,-1,2]=>[3,-1,5,4,2]
[-4,-5,-3,-1,-2]=>[-5,4,-3,-1,-2]
[4,5,3,2,1]=>[2,-3,-5,-4,1]
[4,5,3,2,-1]=>[2,-3,-5,-4,-1]
[4,5,3,-2,1]=>[5,-4,-2,3,1]
[4,5,3,-2,-1]=>[5,-4,-2,3,-1]
[4,5,-3,2,1]=>[5,-4,2,-3,1]
[4,5,-3,2,-1]=>[5,-4,2,-3,-1]
[4,5,-3,-2,1]=>[3,-2,4,5,1]
[4,5,-3,-2,-1]=>[3,-2,4,5,-1]
[4,-5,3,2,1]=>[3,2,-4,-5,1]
[4,-5,3,2,-1]=>[3,2,-4,-5,-1]
[4,-5,3,-2,1]=>[5,4,-2,3,1]
[4,-5,3,-2,-1]=>[5,4,-2,3,-1]
[4,-5,-3,2,1]=>[5,4,2,-3,1]
[4,-5,-3,2,-1]=>[5,4,2,-3,-1]
[4,-5,-3,-2,1]=>[2,3,5,4,1]
[4,-5,-3,-2,-1]=>[2,3,5,4,-1]
[-4,5,3,2,1]=>[-2,-3,-5,-4,1]
[-4,5,3,2,-1]=>[-2,-3,-5,-4,-1]
[-4,5,3,-2,1]=>[-5,-4,-2,3,1]
[-4,5,3,-2,-1]=>[-5,-4,-2,3,-1]
[-4,5,-3,2,1]=>[-5,-4,2,-3,1]
[-4,5,-3,2,-1]=>[-5,-4,2,-3,-1]
[-4,5,-3,-2,1]=>[-3,-2,4,5,1]
[-4,5,-3,-2,-1]=>[-3,-2,4,5,-1]
[-4,-5,3,2,1]=>[-3,2,-4,-5,1]
[-4,-5,3,2,-1]=>[-3,2,-4,-5,-1]
[-4,-5,3,-2,1]=>[-5,4,-2,3,1]
[-4,-5,3,-2,-1]=>[-5,4,-2,3,-1]
[-4,-5,-3,2,1]=>[-5,4,2,-3,1]
[-4,-5,-3,2,-1]=>[-5,4,2,-3,-1]
[-4,-5,-3,-2,1]=>[-2,3,5,4,1]
[-4,-5,-3,-2,-1]=>[-2,3,5,4,-1]
[5,1,2,3,4]=>[1,2,5,3,4]
[5,1,2,3,-4]=>[5,1,2,3,-4]
[5,1,2,-3,4]=>[5,1,2,-3,4]
[5,1,2,-3,-4]=>[1,-5,2,-3,-4]
[5,1,-2,3,4]=>[5,1,-2,3,4]
[5,1,-2,3,-4]=>[1,-5,-2,3,-4]
[5,1,-2,-3,4]=>[1,-5,-2,-3,4]
[5,1,-2,-3,-4]=>[1,-2,-3,-5,-4]
[5,-1,2,3,4]=>[-1,2,5,3,4]
[5,-1,2,3,-4]=>[5,-1,2,3,-4]
[5,-1,2,-3,4]=>[5,-1,2,-3,4]
[5,-1,2,-3,-4]=>[-1,-5,2,-3,-4]
[5,-1,-2,3,4]=>[5,-1,-2,3,4]
[5,-1,-2,3,-4]=>[-1,-5,-2,3,-4]
[5,-1,-2,-3,4]=>[-1,-5,-2,-3,4]
[5,-1,-2,-3,-4]=>[-1,-2,-3,-5,-4]
[-5,1,2,3,4]=>[1,2,3,5,4]
[-5,1,2,3,-4]=>[1,5,2,3,-4]
[-5,1,2,-3,4]=>[1,5,2,-3,4]
[-5,1,2,-3,-4]=>[-5,1,2,-3,-4]
[-5,1,-2,3,4]=>[1,5,-2,3,4]
[-5,1,-2,3,-4]=>[-5,1,-2,3,-4]
[-5,1,-2,-3,4]=>[-5,1,-2,-3,4]
[-5,1,-2,-3,-4]=>[1,-2,-5,-3,-4]
[-5,-1,2,3,4]=>[-1,2,3,5,4]
[-5,-1,2,3,-4]=>[-1,5,2,3,-4]
[-5,-1,2,-3,4]=>[-1,5,2,-3,4]
[-5,-1,2,-3,-4]=>[-5,-1,2,-3,-4]
[-5,-1,-2,3,4]=>[-1,5,-2,3,4]
[-5,-1,-2,3,-4]=>[-5,-1,-2,3,-4]
[-5,-1,-2,-3,4]=>[-5,-1,-2,-3,4]
[-5,-1,-2,-3,-4]=>[-1,-2,-5,-3,-4]
[5,1,2,4,3]=>[1,4,2,-5,3]
[5,1,2,4,-3]=>[5,1,4,2,-3]
[5,1,2,-4,3]=>[5,1,-4,2,3]
[5,1,2,-4,-3]=>[-4,1,2,5,-3]
[5,1,-2,4,3]=>[-4,1,-2,-5,3]
[5,1,-2,4,-3]=>[1,-5,4,-2,-3]
[5,1,-2,-4,3]=>[1,-5,-4,-2,3]
[5,1,-2,-4,-3]=>[1,-2,-4,5,-3]
[5,-1,2,4,3]=>[-1,4,2,-5,3]
[5,-1,2,4,-3]=>[5,-1,4,2,-3]
[5,-1,2,-4,3]=>[5,-1,-4,2,3]
[5,-1,2,-4,-3]=>[-4,-1,2,5,-3]
[5,-1,-2,4,3]=>[-4,-1,-2,-5,3]
[5,-1,-2,4,-3]=>[-1,-5,4,-2,-3]
[5,-1,-2,-4,3]=>[-1,-5,-4,-2,3]
[5,-1,-2,-4,-3]=>[-1,-2,-4,5,-3]
[-5,1,2,4,3]=>[1,2,4,-5,3]
[-5,1,2,4,-3]=>[1,5,4,2,-3]
[-5,1,2,-4,3]=>[1,5,-4,2,3]
[-5,1,2,-4,-3]=>[4,1,2,5,-3]
[-5,1,-2,4,3]=>[4,1,-2,-5,3]
[-5,1,-2,4,-3]=>[-5,1,4,-2,-3]
[-5,1,-2,-4,3]=>[-5,1,-4,-2,3]
[-5,1,-2,-4,-3]=>[1,-4,-2,5,-3]
[-5,-1,2,4,3]=>[-1,2,4,-5,3]
[-5,-1,2,4,-3]=>[-1,5,4,2,-3]
[-5,-1,2,-4,3]=>[-1,5,-4,2,3]
[-5,-1,2,-4,-3]=>[4,-1,2,5,-3]
[-5,-1,-2,4,3]=>[4,-1,-2,-5,3]
[-5,-1,-2,4,-3]=>[-5,-1,4,-2,-3]
[-5,-1,-2,-4,3]=>[-5,-1,-4,-2,3]
[-5,-1,-2,-4,-3]=>[-1,-4,-2,5,-3]
[5,1,3,2,4]=>[3,-5,1,2,4]
[5,1,3,2,-4]=>[3,1,2,-5,-4]
[5,1,3,-2,4]=>[5,3,1,-2,4]
[5,1,3,-2,-4]=>[3,-5,1,-2,-4]
[5,1,-3,2,4]=>[5,-3,1,2,4]
[5,1,-3,2,-4]=>[-3,-5,1,2,-4]
[5,1,-3,-2,4]=>[1,-3,-2,5,4]
[5,1,-3,-2,-4]=>[1,5,-3,-2,-4]
[5,-1,3,2,4]=>[3,-5,-1,2,4]
[5,-1,3,2,-4]=>[3,-1,2,-5,-4]
[5,-1,3,-2,4]=>[5,3,-1,-2,4]
[5,-1,3,-2,-4]=>[3,-5,-1,-2,-4]
[5,-1,-3,2,4]=>[5,-3,-1,2,4]
[5,-1,-3,2,-4]=>[-3,-5,-1,2,-4]
[5,-1,-3,-2,4]=>[-1,-3,-2,5,4]
[5,-1,-3,-2,-4]=>[-1,5,-3,-2,-4]
[-5,1,3,2,4]=>[1,-5,3,2,4]
[-5,1,3,2,-4]=>[1,3,2,-5,-4]
[-5,1,3,-2,4]=>[3,5,1,-2,4]
[-5,1,3,-2,-4]=>[-5,3,1,-2,-4]
[-5,1,-3,2,4]=>[-3,5,1,2,4]
[-5,1,-3,2,-4]=>[-5,-3,1,2,-4]
[-5,1,-3,-2,4]=>[-3,1,-2,5,4]
[-5,1,-3,-2,-4]=>[-3,5,1,-2,-4]
[-5,-1,3,2,4]=>[-1,-5,3,2,4]
[-5,-1,3,2,-4]=>[-1,3,2,-5,-4]
[-5,-1,3,-2,4]=>[3,5,-1,-2,4]
[-5,-1,3,-2,-4]=>[-5,3,-1,-2,-4]
[-5,-1,-3,2,4]=>[-3,5,-1,2,4]
[-5,-1,-3,2,-4]=>[-5,-3,-1,2,-4]
[-5,-1,-3,-2,4]=>[-3,-1,-2,5,4]
[-5,-1,-3,-2,-4]=>[-3,5,-1,-2,-4]
[5,1,3,4,2]=>[1,3,4,-5,2]
[5,1,3,4,-2]=>[5,3,4,1,-2]
[5,1,3,-4,2]=>[5,-4,1,3,2]
[5,1,3,-4,-2]=>[-4,1,5,3,-2]
[5,1,-3,4,2]=>[-4,1,-5,-3,2]
[5,1,-3,4,-2]=>[1,4,-5,-3,-2]
[5,1,-3,-4,2]=>[-3,-5,-4,1,2]
[5,1,-3,-4,-2]=>[1,-5,-4,3,-2]
[5,-1,3,4,2]=>[-1,3,4,-5,2]
[5,-1,3,4,-2]=>[5,3,4,-1,-2]
[5,-1,3,-4,2]=>[5,-4,-1,3,2]
[5,-1,3,-4,-2]=>[-4,-1,5,3,-2]
[5,-1,-3,4,2]=>[-4,-1,-5,-3,2]
[5,-1,-3,4,-2]=>[-1,4,-5,-3,-2]
[5,-1,-3,-4,2]=>[-3,-5,-4,-1,2]
[5,-1,-3,-4,-2]=>[-1,-5,-4,3,-2]
[-5,1,3,4,2]=>[1,5,4,-3,2]
[-5,1,3,4,-2]=>[3,5,4,1,-2]
[-5,1,3,-4,2]=>[1,-4,5,3,2]
[-5,1,3,-4,-2]=>[4,1,5,3,-2]
[-5,1,-3,4,2]=>[4,1,-5,-3,2]
[-5,1,-3,4,-2]=>[-5,4,1,-3,-2]
[-5,1,-3,-4,2]=>[-5,-3,-4,1,2]
[-5,1,-3,-4,-2]=>[1,-3,-4,5,-2]
[-5,-1,3,4,2]=>[-1,5,4,-3,2]
[-5,-1,3,4,-2]=>[3,5,4,-1,-2]
[-5,-1,3,-4,2]=>[-1,-4,5,3,2]
[-5,-1,3,-4,-2]=>[4,-1,5,3,-2]
[-5,-1,-3,4,2]=>[4,-1,-5,-3,2]
[-5,-1,-3,4,-2]=>[-5,4,-1,-3,-2]
[-5,-1,-3,-4,2]=>[-5,-3,-4,-1,2]
[-5,-1,-3,-4,-2]=>[-1,-3,-4,5,-2]
[5,1,4,2,3]=>[1,-5,4,2,3]
[5,1,4,2,-3]=>[-4,1,2,-5,-3]
[5,1,4,-2,3]=>[5,1,4,-2,3]
[5,1,4,-2,-3]=>[-4,-5,1,-2,-3]
[5,1,-4,2,3]=>[-4,5,1,2,3]
[5,1,-4,2,-3]=>[1,-5,-4,2,-3]
[5,1,-4,-2,3]=>[-4,1,-2,5,3]
[5,1,-4,-2,-3]=>[5,1,-4,-2,-3]
[5,-1,4,2,3]=>[-1,-5,4,2,3]
[5,-1,4,2,-3]=>[-4,-1,2,-5,-3]
[5,-1,4,-2,3]=>[5,-1,4,-2,3]
[5,-1,4,-2,-3]=>[-4,-5,-1,-2,-3]
[5,-1,-4,2,3]=>[-4,5,-1,2,3]
[5,-1,-4,2,-3]=>[-1,-5,-4,2,-3]
[5,-1,-4,-2,3]=>[-4,-1,-2,5,3]
[5,-1,-4,-2,-3]=>[5,-1,-4,-2,-3]
[-5,1,4,2,3]=>[-5,1,4,2,3]
[-5,1,4,2,-3]=>[4,1,2,-5,-3]
[-5,1,4,-2,3]=>[1,5,4,-2,3]
[-5,1,4,-2,-3]=>[4,-5,1,-2,-3]
[-5,1,-4,2,3]=>[4,5,1,2,3]
[-5,1,-4,2,-3]=>[-5,1,-4,2,-3]
[-5,1,-4,-2,3]=>[4,1,-2,5,3]
[-5,1,-4,-2,-3]=>[1,5,-4,-2,-3]
[-5,-1,4,2,3]=>[-5,-1,4,2,3]
[-5,-1,4,2,-3]=>[4,-1,2,-5,-3]
[-5,-1,4,-2,3]=>[-1,5,4,-2,3]
[-5,-1,4,-2,-3]=>[4,-5,-1,-2,-3]
[-5,-1,-4,2,3]=>[4,5,-1,2,3]
[-5,-1,-4,2,-3]=>[-5,-1,-4,2,-3]
[-5,-1,-4,-2,3]=>[4,-1,-2,5,3]
[-5,-1,-4,-2,-3]=>[-1,5,-4,-2,-3]
[5,1,4,3,2]=>[3,1,-4,-5,2]
[5,1,4,3,-2]=>[-4,3,1,-5,-2]
[5,1,4,-3,2]=>[5,1,-3,4,2]
[5,1,4,-3,-2]=>[-3,5,1,4,-2]
[5,1,-4,3,2]=>[-3,-5,1,-4,2]
[5,1,-4,3,-2]=>[1,-5,3,-4,-2]
[5,1,-4,-3,2]=>[-4,-3,1,5,2]
[5,1,-4,-3,-2]=>[1,-3,4,5,-2]
[5,-1,4,3,2]=>[3,-1,-4,-5,2]
[5,-1,4,3,-2]=>[-4,3,-1,-5,-2]
[5,-1,4,-3,2]=>[5,-1,-3,4,2]
[5,-1,4,-3,-2]=>[-3,5,-1,4,-2]
[5,-1,-4,3,2]=>[-3,-5,-1,-4,2]
[5,-1,-4,3,-2]=>[-1,-5,3,-4,-2]
[5,-1,-4,-3,2]=>[-4,-3,-1,5,2]
[5,-1,-4,-3,-2]=>[-1,-3,4,5,-2]
[-5,1,4,3,2]=>[1,3,-4,-5,2]
[-5,1,4,3,-2]=>[4,3,1,-5,-2]
[-5,1,4,-3,2]=>[1,5,-3,4,2]
[-5,1,4,-3,-2]=>[3,5,1,4,-2]
[-5,1,-4,3,2]=>[3,-5,1,-4,2]
[-5,1,-4,3,-2]=>[-5,1,3,-4,-2]
[-5,1,-4,-3,2]=>[4,-3,1,5,2]
[-5,1,-4,-3,-2]=>[-3,1,4,5,-2]
[-5,-1,4,3,2]=>[-1,3,-4,-5,2]
[-5,-1,4,3,-2]=>[4,3,-1,-5,-2]
[-5,-1,4,-3,2]=>[-1,5,-3,4,2]
[-5,-1,4,-3,-2]=>[3,5,-1,4,-2]
[-5,-1,-4,3,2]=>[3,-5,-1,-4,2]
[-5,-1,-4,3,-2]=>[-5,-1,3,-4,-2]
[-5,-1,-4,-3,2]=>[4,-3,-1,5,2]
[-5,-1,-4,-3,-2]=>[-3,-1,4,5,-2]
[5,2,1,3,4]=>[5,-2,1,3,4]
[5,2,1,3,-4]=>[-2,-5,1,3,-4]
[5,2,1,-3,4]=>[-2,-5,1,-3,4]
[5,2,1,-3,-4]=>[-2,1,-3,-5,-4]
[5,2,-1,3,4]=>[5,-2,-1,3,4]
[5,2,-1,3,-4]=>[-2,-5,-1,3,-4]
[5,2,-1,-3,4]=>[-2,-5,-1,-3,4]
[5,2,-1,-3,-4]=>[-2,-1,-3,-5,-4]
[5,-2,1,3,4]=>[-2,1,3,5,4]
[5,-2,1,3,-4]=>[-2,5,1,3,-4]
[5,-2,1,-3,4]=>[-2,5,1,-3,4]
[5,-2,1,-3,-4]=>[-5,-2,1,-3,-4]
[5,-2,-1,3,4]=>[-2,-1,3,5,4]
[5,-2,-1,3,-4]=>[-2,5,-1,3,-4]
[5,-2,-1,-3,4]=>[-2,5,-1,-3,4]
[5,-2,-1,-3,-4]=>[-5,-2,-1,-3,-4]
[-5,2,1,3,4]=>[5,2,1,3,4]
[-5,2,1,3,-4]=>[2,-5,1,3,-4]
[-5,2,1,-3,4]=>[2,-5,1,-3,4]
[-5,2,1,-3,-4]=>[2,1,-3,-5,-4]
[-5,2,-1,3,4]=>[5,2,-1,3,4]
[-5,2,-1,3,-4]=>[2,-5,-1,3,-4]
[-5,2,-1,-3,4]=>[2,-5,-1,-3,4]
[-5,2,-1,-3,-4]=>[2,-1,-3,-5,-4]
[-5,-2,1,3,4]=>[2,1,3,5,4]
[-5,-2,1,3,-4]=>[2,5,1,3,-4]
[-5,-2,1,-3,4]=>[2,5,1,-3,4]
[-5,-2,1,-3,-4]=>[-5,2,1,-3,-4]
[-5,-2,-1,3,4]=>[2,-1,3,5,4]
[-5,-2,-1,3,-4]=>[2,5,-1,3,-4]
[-5,-2,-1,-3,4]=>[2,5,-1,-3,4]
[-5,-2,-1,-3,-4]=>[-5,2,-1,-3,-4]
[5,2,1,4,3]=>[-4,-2,1,-5,3]
[5,2,1,4,-3]=>[-2,-5,4,1,-3]
[5,2,1,-4,3]=>[-2,-5,-4,1,3]
[5,2,1,-4,-3]=>[-2,1,-4,5,-3]
[5,2,-1,4,3]=>[-4,-2,-1,-5,3]
[5,2,-1,4,-3]=>[-2,-5,4,-1,-3]
[5,2,-1,-4,3]=>[-2,-5,-4,-1,3]
[5,2,-1,-4,-3]=>[-2,-1,-4,5,-3]
[5,-2,1,4,3]=>[-2,1,4,-5,3]
[5,-2,1,4,-3]=>[-2,5,4,1,-3]
[5,-2,1,-4,3]=>[-2,5,-4,1,3]
[5,-2,1,-4,-3]=>[4,-2,1,5,-3]
[5,-2,-1,4,3]=>[-2,-1,4,-5,3]
[5,-2,-1,4,-3]=>[-2,5,4,-1,-3]
[5,-2,-1,-4,3]=>[-2,5,-4,-1,3]
[5,-2,-1,-4,-3]=>[4,-2,-1,5,-3]
[-5,2,1,4,3]=>[-4,2,1,-5,3]
[-5,2,1,4,-3]=>[2,-5,4,1,-3]
[-5,2,1,-4,3]=>[2,-5,-4,1,3]
[-5,2,1,-4,-3]=>[2,1,-4,5,-3]
[-5,2,-1,4,3]=>[-4,2,-1,-5,3]
[-5,2,-1,4,-3]=>[2,-5,4,-1,-3]
[-5,2,-1,-4,3]=>[2,-5,-4,-1,3]
[-5,2,-1,-4,-3]=>[2,-1,-4,5,-3]
[-5,-2,1,4,3]=>[2,1,4,-5,3]
[-5,-2,1,4,-3]=>[2,5,4,1,-3]
[-5,-2,1,-4,3]=>[2,5,-4,1,3]
[-5,-2,1,-4,-3]=>[4,2,1,5,-3]
[-5,-2,-1,4,3]=>[2,-1,4,-5,3]
[-5,-2,-1,4,-3]=>[2,5,4,-1,-3]
[-5,-2,-1,-4,3]=>[2,5,-4,-1,3]
[-5,-2,-1,-4,-3]=>[4,2,-1,5,-3]
[5,2,3,1,4]=>[2,-5,3,1,4]
[5,2,3,1,-4]=>[2,3,1,-5,-4]
[5,2,3,-1,4]=>[2,-5,3,-1,4]
[5,2,3,-1,-4]=>[2,3,-1,-5,-4]
[5,2,-3,1,4]=>[-3,5,2,1,4]
[5,2,-3,1,-4]=>[-5,-3,2,1,-4]
[5,2,-3,-1,4]=>[-3,5,2,-1,4]
[5,2,-3,-1,-4]=>[-5,-3,2,-1,-4]
[5,-2,3,1,4]=>[-5,3,-2,1,4]
[5,-2,3,1,-4]=>[3,-2,-5,1,-4]
[5,-2,3,-1,4]=>[-5,3,-2,-1,4]
[5,-2,3,-1,-4]=>[3,-2,-5,-1,-4]
[5,-2,-3,1,4]=>[5,-3,2,1,4]
[5,-2,-3,1,-4]=>[-3,-5,2,1,-4]
[5,-2,-3,-1,4]=>[5,-3,2,-1,4]
[5,-2,-3,-1,-4]=>[-3,-5,2,-1,-4]
[-5,2,3,1,4]=>[3,5,-2,1,4]
[-5,2,3,1,-4]=>[-5,3,-2,1,-4]
[-5,2,3,-1,4]=>[3,5,-2,-1,4]
[-5,2,3,-1,-4]=>[-5,3,-2,-1,-4]
[-5,2,-3,1,4]=>[-3,2,5,1,4]
[-5,2,-3,1,-4]=>[5,-3,2,1,-4]
[-5,2,-3,-1,4]=>[-3,2,5,-1,4]
[-5,2,-3,-1,-4]=>[5,-3,2,-1,-4]
[-5,-2,3,1,4]=>[5,3,-2,1,4]
[-5,-2,3,1,-4]=>[3,-5,-2,1,-4]
[-5,-2,3,-1,4]=>[5,3,-2,-1,4]
[-5,-2,3,-1,-4]=>[3,-5,-2,-1,-4]
[-5,-2,-3,1,4]=>[-2,-3,1,5,4]
[-5,-2,-3,1,-4]=>[-2,5,-3,1,-4]
[-5,-2,-3,-1,4]=>[-2,-3,-1,5,4]
[-5,-2,-3,-1,-4]=>[-2,5,-3,-1,-4]
[5,2,3,4,1]=>[5,3,4,-2,1]
[5,2,3,4,-1]=>[5,3,4,-2,-1]
[5,2,3,-4,1]=>[-4,5,2,3,1]
[5,2,3,-4,-1]=>[-4,5,2,3,-1]
[5,2,-3,4,1]=>[-2,4,-5,-3,1]
[5,2,-3,4,-1]=>[-2,4,-5,-3,-1]
[5,2,-3,-4,1]=>[3,-5,-4,2,1]
[5,2,-3,-4,-1]=>[3,-5,-4,2,-1]
[5,-2,3,4,1]=>[-5,3,4,-2,1]
[5,-2,3,4,-1]=>[-5,3,4,-2,-1]
[5,-2,3,-4,1]=>[-2,-4,5,3,1]
[5,-2,3,-4,-1]=>[-2,-4,5,3,-1]
[5,-2,-3,4,1]=>[-4,-5,-2,-3,1]
[5,-2,-3,4,-1]=>[-4,-5,-2,-3,-1]
[5,-2,-3,-4,1]=>[-3,-5,-4,2,1]
[5,-2,-3,-4,-1]=>[-3,-5,-4,2,-1]
[-5,2,3,4,1]=>[3,5,4,-2,1]
[-5,2,3,4,-1]=>[3,5,4,-2,-1]
[-5,2,3,-4,1]=>[4,5,2,3,1]
[-5,2,3,-4,-1]=>[4,5,2,3,-1]
[-5,2,-3,4,1]=>[2,4,-5,-3,1]
[-5,2,-3,4,-1]=>[2,4,-5,-3,-1]
[-5,2,-3,-4,1]=>[5,-3,-4,2,1]
[-5,2,-3,-4,-1]=>[5,-3,-4,2,-1]
[-5,-2,3,4,1]=>[-3,5,4,-2,1]
[-5,-2,3,4,-1]=>[-3,5,4,-2,-1]
[-5,-2,3,-4,1]=>[2,-4,5,3,1]
[-5,-2,3,-4,-1]=>[2,-4,5,3,-1]
[-5,-2,-3,4,1]=>[4,-5,-2,-3,1]
[-5,-2,-3,4,-1]=>[4,-5,-2,-3,-1]
[-5,-2,-3,-4,1]=>[-5,-3,-4,2,1]
[-5,-2,-3,-4,-1]=>[-5,-3,-4,2,-1]
[5,2,4,1,3]=>[-5,2,4,1,3]
[5,2,4,1,-3]=>[4,2,1,-5,-3]
[5,2,4,-1,3]=>[-5,2,4,-1,3]
[5,2,4,-1,-3]=>[4,2,-1,-5,-3]
[5,2,-4,1,3]=>[4,5,2,1,3]
[5,2,-4,1,-3]=>[-5,2,-4,1,-3]
[5,2,-4,-1,3]=>[4,5,2,-1,3]
[5,2,-4,-1,-3]=>[-5,2,-4,-1,-3]
[5,-2,4,1,3]=>[5,4,-2,1,3]
[5,-2,4,1,-3]=>[-4,-2,-5,1,-3]
[5,-2,4,-1,3]=>[5,4,-2,-1,3]
[5,-2,4,-1,-3]=>[-4,-2,-5,-1,-3]
[5,-2,-4,1,3]=>[-4,5,2,1,3]
[5,-2,-4,1,-3]=>[2,-5,-4,1,-3]
[5,-2,-4,-1,3]=>[-4,5,2,-1,3]
[5,-2,-4,-1,-3]=>[2,-5,-4,-1,-3]
[-5,2,4,1,3]=>[-2,5,4,1,3]
[-5,2,4,1,-3]=>[4,-5,-2,1,-3]
[-5,2,4,-1,3]=>[-2,5,4,-1,3]
[-5,2,4,-1,-3]=>[4,-5,-2,-1,-3]
[-5,2,-4,1,3]=>[4,2,5,1,3]
[-5,2,-4,1,-3]=>[-5,-4,2,1,-3]
[-5,2,-4,-1,3]=>[4,2,5,-1,3]
[-5,2,-4,-1,-3]=>[-5,-4,2,-1,-3]
[-5,-2,4,1,3]=>[5,-2,4,1,3]
[-5,-2,4,1,-3]=>[-4,-5,-2,1,-3]
[-5,-2,4,-1,3]=>[5,-2,4,-1,3]
[-5,-2,4,-1,-3]=>[-4,-5,-2,-1,-3]
[-5,-2,-4,1,3]=>[-4,-2,1,5,3]
[-5,-2,-4,1,-3]=>[5,-2,-4,1,-3]
[-5,-2,-4,-1,3]=>[-4,-2,-1,5,3]
[-5,-2,-4,-1,-3]=>[5,-2,-4,-1,-3]
[5,2,4,3,1]=>[2,3,-4,-5,1]
[5,2,4,3,-1]=>[2,3,-4,-5,-1]
[5,2,4,-3,1]=>[-3,5,4,2,1]
[5,2,4,-3,-1]=>[-3,5,4,2,-1]
[5,2,-4,3,1]=>[-2,-5,3,-4,1]
[5,2,-4,3,-1]=>[-2,-5,3,-4,-1]
[5,2,-4,-3,1]=>[4,-3,2,5,1]
[5,2,-4,-3,-1]=>[4,-3,2,5,-1]
[5,-2,4,3,1]=>[3,-4,-2,-5,1]
[5,-2,4,3,-1]=>[3,-4,-2,-5,-1]
[5,-2,4,-3,1]=>[-2,5,-3,4,1]
[5,-2,4,-3,-1]=>[-2,5,-3,4,-1]
[5,-2,-4,3,1]=>[-3,-5,-4,-2,1]
[5,-2,-4,3,-1]=>[-3,-5,-4,-2,-1]
[5,-2,-4,-3,1]=>[-4,-3,2,5,1]
[5,-2,-4,-3,-1]=>[-4,-3,2,5,-1]
[-5,2,4,3,1]=>[4,3,-2,-5,1]
[-5,2,4,3,-1]=>[4,3,-2,-5,-1]
[-5,2,4,-3,1]=>[3,5,4,2,1]
[-5,2,4,-3,-1]=>[3,5,4,2,-1]
[-5,2,-4,3,1]=>[2,-5,3,-4,1]
[-5,2,-4,3,-1]=>[2,-5,3,-4,-1]
[-5,2,-4,-3,1]=>[-3,4,2,5,1]
[-5,2,-4,-3,-1]=>[-3,4,2,5,-1]
[-5,-2,4,3,1]=>[-4,3,-2,-5,1]
[-5,-2,4,3,-1]=>[-4,3,-2,-5,-1]
[-5,-2,4,-3,1]=>[2,5,-3,4,1]
[-5,-2,4,-3,-1]=>[2,5,-3,4,-1]
[-5,-2,-4,3,1]=>[3,-5,-4,-2,1]
[-5,-2,-4,3,-1]=>[3,-5,-4,-2,-1]
[-5,-2,-4,-3,1]=>[-2,-3,4,5,1]
[-5,-2,-4,-3,-1]=>[-2,-3,4,5,-1]
[5,3,1,2,4]=>[5,3,1,2,4]
[5,3,1,2,-4]=>[3,-5,1,2,-4]
[5,3,1,-2,4]=>[1,-5,-3,-2,4]
[5,3,1,-2,-4]=>[1,-3,-2,-5,-4]
[5,3,-1,2,4]=>[5,3,-1,2,4]
[5,3,-1,2,-4]=>[3,-5,-1,2,-4]
[5,3,-1,-2,4]=>[-1,-5,-3,-2,4]
[5,3,-1,-2,-4]=>[-1,-3,-2,-5,-4]
[5,-3,1,2,4]=>[3,1,2,5,4]
[5,-3,1,2,-4]=>[3,5,1,2,-4]
[5,-3,1,-2,4]=>[5,-3,1,-2,4]
[5,-3,1,-2,-4]=>[-3,-5,1,-2,-4]
[5,-3,-1,2,4]=>[3,-1,2,5,4]
[5,-3,-1,2,-4]=>[3,5,-1,2,-4]
[5,-3,-1,-2,4]=>[5,-3,-1,-2,4]
[5,-3,-1,-2,-4]=>[-3,-5,-1,-2,-4]
[-5,3,1,2,4]=>[3,5,1,2,4]
[-5,3,1,2,-4]=>[-5,3,1,2,-4]
[-5,3,1,-2,4]=>[-3,-5,1,-2,4]
[-5,3,1,-2,-4]=>[-3,1,-2,-5,-4]
[-5,3,-1,2,4]=>[3,5,-1,2,4]
[-5,3,-1,2,-4]=>[-5,3,-1,2,-4]
[-5,3,-1,-2,4]=>[-3,-5,-1,-2,4]
[-5,3,-1,-2,-4]=>[-3,-1,-2,-5,-4]
[-5,-3,1,2,4]=>[1,3,2,5,4]
[-5,-3,1,2,-4]=>[1,5,3,2,-4]
[-5,-3,1,-2,4]=>[-3,5,1,-2,4]
[-5,-3,1,-2,-4]=>[-5,-3,1,-2,-4]
[-5,-3,-1,2,4]=>[-1,3,2,5,4]
[-5,-3,-1,2,-4]=>[-1,5,3,2,-4]
[-5,-3,-1,-2,4]=>[-3,5,-1,-2,4]
[-5,-3,-1,-2,-4]=>[-5,-3,-1,-2,-4]
[5,3,1,4,2]=>[-4,-5,1,-3,2]
[5,3,1,4,-2]=>[1,-5,4,-3,-2]
[5,3,1,-4,2]=>[3,-5,-4,1,2]
[5,3,1,-4,-2]=>[-5,1,-4,3,-2]
[5,3,-1,4,2]=>[-4,-5,-1,-3,2]
[5,3,-1,4,-2]=>[-1,-5,4,-3,-2]
[5,3,-1,-4,2]=>[3,-5,-4,-1,2]
[5,3,-1,-4,-2]=>[-5,-1,-4,3,-2]
[5,-3,1,4,2]=>[-5,1,4,-3,2]
[5,-3,1,4,-2]=>[1,5,4,-3,-2]
[5,-3,1,-4,2]=>[3,5,-4,1,2]
[5,-3,1,-4,-2]=>[3,-4,1,5,-2]
[5,-3,-1,4,2]=>[-5,-1,4,-3,2]
[5,-3,-1,4,-2]=>[-1,5,4,-3,-2]
[5,-3,-1,-4,2]=>[3,5,-4,-1,2]
[5,-3,-1,-4,-2]=>[3,-4,-1,5,-2]
[-5,3,1,4,2]=>[-3,4,1,-5,2]
[-5,3,1,4,-2]=>[-3,-5,4,1,-2]
[-5,3,1,-4,2]=>[1,-5,-4,3,2]
[-5,3,1,-4,-2]=>[5,1,-4,3,-2]
[-5,3,-1,4,2]=>[-3,4,-1,-5,2]
[-5,3,-1,4,-2]=>[-3,-5,4,-1,-2]
[-5,3,-1,-4,2]=>[-1,-5,-4,3,2]
[-5,3,-1,-4,-2]=>[5,-1,-4,3,-2]
[-5,-3,1,4,2]=>[5,1,4,-3,2]
[-5,-3,1,4,-2]=>[-3,5,4,1,-2]
[-5,-3,1,-4,2]=>[1,5,-4,3,2]
[-5,-3,1,-4,-2]=>[4,5,1,3,-2]
[-5,-3,-1,4,2]=>[5,-1,4,-3,2]
[-5,-3,-1,4,-2]=>[-3,5,4,-1,-2]
[-5,-3,-1,-4,2]=>[-1,5,-4,3,2]
[-5,-3,-1,-4,-2]=>[4,5,-1,3,-2]
[5,3,2,1,4]=>[-2,-5,-3,1,4]
[5,3,2,1,-4]=>[-2,-3,1,-5,-4]
[5,3,2,-1,4]=>[-2,-5,-3,-1,4]
[5,3,2,-1,-4]=>[-2,-3,-1,-5,-4]
[5,3,-2,1,4]=>[5,-2,3,1,4]
[5,3,-2,1,-4]=>[-2,-5,3,1,-4]
[5,3,-2,-1,4]=>[5,-2,3,-1,4]
[5,3,-2,-1,-4]=>[-2,-5,3,-1,-4]
[5,-3,2,1,4]=>[5,2,-3,1,4]
[5,-3,2,1,-4]=>[2,-5,-3,1,-4]
[5,-3,2,-1,4]=>[5,2,-3,-1,4]
[5,-3,2,-1,-4]=>[2,-5,-3,-1,-4]
[5,-3,-2,1,4]=>[-2,3,1,5,4]
[5,-3,-2,1,-4]=>[-2,5,3,1,-4]
[5,-3,-2,-1,4]=>[-2,3,-1,5,4]
[5,-3,-2,-1,-4]=>[-2,5,3,-1,-4]
[-5,3,2,1,4]=>[2,-5,-3,1,4]
[-5,3,2,1,-4]=>[2,-3,1,-5,-4]
[-5,3,2,-1,4]=>[2,-5,-3,-1,4]
[-5,3,2,-1,-4]=>[2,-3,-1,-5,-4]
[-5,3,-2,1,4]=>[-2,5,3,1,4]
[-5,3,-2,1,-4]=>[-5,-2,3,1,-4]
[-5,3,-2,-1,4]=>[-2,5,3,-1,4]
[-5,3,-2,-1,-4]=>[-5,-2,3,-1,-4]
[-5,-3,2,1,4]=>[2,5,-3,1,4]
[-5,-3,2,1,-4]=>[-5,2,-3,1,-4]
[-5,-3,2,-1,4]=>[2,5,-3,-1,4]
[-5,-3,2,-1,-4]=>[-5,2,-3,-1,-4]
[-5,-3,-2,1,4]=>[2,3,1,5,4]
[-5,-3,-2,1,-4]=>[2,5,3,1,-4]
[-5,-3,-2,-1,4]=>[2,3,-1,5,4]
[-5,-3,-2,-1,-4]=>[2,5,3,-1,-4]
[5,3,2,4,1]=>[-2,-5,4,-3,1]
[5,3,2,4,-1]=>[-2,-5,4,-3,-1]
[5,3,2,-4,1]=>[-5,3,-4,2,1]
[5,3,2,-4,-1]=>[-5,3,-4,2,-1]
[5,3,-2,4,1]=>[-4,-5,-3,-2,1]
[5,3,-2,4,-1]=>[-4,-5,-3,-2,-1]
[5,3,-2,-4,1]=>[-2,-5,-4,3,1]
[5,3,-2,-4,-1]=>[-2,-5,-4,3,-1]
[5,-3,2,4,1]=>[-2,5,4,-3,1]
[5,-3,2,4,-1]=>[-2,5,4,-3,-1]
[5,-3,2,-4,1]=>[3,-4,5,2,1]
[5,-3,2,-4,-1]=>[3,-4,5,2,-1]
[5,-3,-2,4,1]=>[-5,-3,4,-2,1]
[5,-3,-2,4,-1]=>[-5,-3,4,-2,-1]
[5,-3,-2,-4,1]=>[3,-2,-4,5,1]
[5,-3,-2,-4,-1]=>[3,-2,-4,5,-1]
[-5,3,2,4,1]=>[-3,2,4,-5,1]
[-5,3,2,4,-1]=>[-3,2,4,-5,-1]
[-5,3,2,-4,1]=>[5,3,-4,2,1]
[-5,3,2,-4,-1]=>[5,3,-4,2,-1]
[-5,3,-2,4,1]=>[-3,4,-5,-2,1]
[-5,3,-2,4,-1]=>[-3,4,-5,-2,-1]
[-5,3,-2,-4,1]=>[2,-5,-4,3,1]
[-5,3,-2,-4,-1]=>[2,-5,-4,3,-1]
[-5,-3,2,4,1]=>[2,5,4,-3,1]
[-5,-3,2,4,-1]=>[2,5,4,-3,-1]
[-5,-3,2,-4,1]=>[4,5,3,2,1]
[-5,-3,2,-4,-1]=>[4,5,3,2,-1]
[-5,-3,-2,4,1]=>[5,-3,4,-2,1]
[-5,-3,-2,4,-1]=>[5,-3,4,-2,-1]
[-5,-3,-2,-4,1]=>[2,5,-4,3,1]
[-5,-3,-2,-4,-1]=>[2,5,-4,3,-1]
[5,3,4,1,2]=>[5,3,4,1,2]
[5,3,4,1,-2]=>[4,-3,1,-5,-2]
[5,3,4,-1,2]=>[5,3,4,-1,2]
[5,3,4,-1,-2]=>[4,-3,-1,-5,-2]
[5,3,-4,1,2]=>[4,5,1,3,2]
[5,3,-4,1,-2]=>[3,-5,-4,1,-2]
[5,3,-4,-1,2]=>[4,5,-1,3,2]
[5,3,-4,-1,-2]=>[3,-5,-4,-1,-2]
[5,-3,4,1,2]=>[5,-3,4,1,2]
[5,-3,4,1,-2]=>[-4,1,-5,-3,-2]
[5,-3,4,-1,2]=>[5,-3,4,-1,2]
[5,-3,4,-1,-2]=>[-4,-1,-5,-3,-2]
[5,-3,-4,1,2]=>[-4,5,1,3,2]
[5,-3,-4,1,-2]=>[-3,-5,-4,1,-2]
[5,-3,-4,-1,2]=>[-4,5,-1,3,2]
[5,-3,-4,-1,-2]=>[-3,-5,-4,-1,-2]
[-5,3,4,1,2]=>[3,5,4,1,2]
[-5,3,4,1,-2]=>[4,-5,1,-3,-2]
[-5,3,4,-1,2]=>[3,5,4,-1,2]
[-5,3,4,-1,-2]=>[4,-5,-1,-3,-2]
[-5,3,-4,1,2]=>[4,1,5,3,2]
[-5,3,-4,1,-2]=>[-5,3,-4,1,-2]
[-5,3,-4,-1,2]=>[4,-1,5,3,2]
[-5,3,-4,-1,-2]=>[-5,3,-4,-1,-2]
[-5,-3,4,1,2]=>[-3,5,4,1,2]
[-5,-3,4,1,-2]=>[-4,-5,1,-3,-2]
[-5,-3,4,-1,2]=>[-3,5,4,-1,2]
[-5,-3,4,-1,-2]=>[-4,-5,-1,-3,-2]
[-5,-3,-4,1,2]=>[-4,3,1,5,2]
[-5,-3,-4,1,-2]=>[-5,-3,-4,1,-2]
[-5,-3,-4,-1,2]=>[-4,3,-1,5,2]
[-5,-3,-4,-1,-2]=>[-5,-3,-4,-1,-2]
[5,3,4,2,1]=>[4,2,-3,-5,1]
[5,3,4,2,-1]=>[4,2,-3,-5,-1]
[5,3,4,-2,1]=>[5,3,-2,4,1]
[5,3,4,-2,-1]=>[5,3,-2,4,-1]
[5,3,-4,2,1]=>[3,-5,2,-4,1]
[5,3,-4,2,-1]=>[3,-5,2,-4,-1]
[5,3,-4,-2,1]=>[4,-2,5,3,1]
[5,3,-4,-2,-1]=>[4,-2,5,3,-1]
[5,-3,4,2,1]=>[2,-4,-5,-3,1]
[5,-3,4,2,-1]=>[2,-4,-5,-3,-1]
[5,-3,4,-2,1]=>[5,-3,-2,4,1]
[5,-3,4,-2,-1]=>[5,-3,-2,4,-1]
[5,-3,-4,2,1]=>[-3,-5,2,-4,1]
[5,-3,-4,2,-1]=>[-3,-5,2,-4,-1]
[5,-3,-4,-2,1]=>[-4,-2,5,3,1]
[5,-3,-4,-2,-1]=>[-4,-2,5,3,-1]
[-5,3,4,2,1]=>[4,2,-5,-3,1]
[-5,3,4,2,-1]=>[4,2,-5,-3,-1]
[-5,3,4,-2,1]=>[3,5,-2,4,1]
[-5,3,4,-2,-1]=>[3,5,-2,4,-1]
[-5,3,-4,2,1]=>[-5,3,2,-4,1]
[-5,3,-4,2,-1]=>[-5,3,2,-4,-1]
[-5,3,-4,-2,1]=>[-2,4,5,3,1]
[-5,3,-4,-2,-1]=>[-2,4,5,3,-1]
[-5,-3,4,2,1]=>[-4,2,-5,-3,1]
[-5,-3,4,2,-1]=>[-4,2,-5,-3,-1]
[-5,-3,4,-2,1]=>[-3,5,-2,4,1]
[-5,-3,4,-2,-1]=>[-3,5,-2,4,-1]
[-5,-3,-4,2,1]=>[-5,-3,2,-4,1]
[-5,-3,-4,2,-1]=>[-5,-3,2,-4,-1]
[-5,-3,-4,-2,1]=>[-4,-2,3,5,1]
[-5,-3,-4,-2,-1]=>[-4,-2,3,5,-1]
[5,4,1,2,3]=>[5,1,4,2,3]
[5,4,1,2,-3]=>[-4,-5,1,2,-3]
[5,4,1,-2,3]=>[-4,-5,1,-2,3]
[5,4,1,-2,-3]=>[1,-2,-4,-5,-3]
[5,4,-1,2,3]=>[5,-1,4,2,3]
[5,4,-1,2,-3]=>[-4,-5,-1,2,-3]
[5,4,-1,-2,3]=>[-4,-5,-1,-2,3]
[5,4,-1,-2,-3]=>[-1,-2,-4,-5,-3]
[5,-4,1,2,3]=>[1,4,2,5,3]
[5,-4,1,2,-3]=>[-4,5,1,2,-3]
[5,-4,1,-2,3]=>[-4,5,1,-2,3]
[5,-4,1,-2,-3]=>[1,-5,-4,-2,-3]
[5,-4,-1,2,3]=>[-1,4,2,5,3]
[5,-4,-1,2,-3]=>[-4,5,-1,2,-3]
[5,-4,-1,-2,3]=>[-4,5,-1,-2,3]
[5,-4,-1,-2,-3]=>[-1,-5,-4,-2,-3]
[-5,4,1,2,3]=>[1,5,4,2,3]
[-5,4,1,2,-3]=>[4,-5,1,2,-3]
[-5,4,1,-2,3]=>[4,-5,1,-2,3]
[-5,4,1,-2,-3]=>[1,-4,-2,-5,-3]
[-5,4,-1,2,3]=>[-1,5,4,2,3]
[-5,4,-1,2,-3]=>[4,-5,-1,2,-3]
[-5,4,-1,-2,3]=>[4,-5,-1,-2,3]
[-5,4,-1,-2,-3]=>[-1,-4,-2,-5,-3]
[-5,-4,1,2,3]=>[1,2,4,5,3]
[-5,-4,1,2,-3]=>[4,5,1,2,-3]
[-5,-4,1,-2,3]=>[4,5,1,-2,3]
[-5,-4,1,-2,-3]=>[-5,1,-4,-2,-3]
[-5,-4,-1,2,3]=>[-1,2,4,5,3]
[-5,-4,-1,2,-3]=>[4,5,-1,2,-3]
[-5,-4,-1,-2,3]=>[4,5,-1,-2,3]
[-5,-4,-1,-2,-3]=>[-5,-1,-4,-2,-3]
[5,4,1,3,2]=>[-4,3,1,-5,2]
[5,4,1,3,-2]=>[-4,-5,3,1,-2]
[5,4,1,-3,2]=>[-4,-5,-3,1,2]
[5,4,1,-3,-2]=>[1,-5,-3,4,-2]
[5,4,-1,3,2]=>[-4,3,-1,-5,2]
[5,4,-1,3,-2]=>[-4,-5,3,-1,-2]
[5,4,-1,-3,2]=>[-4,-5,-3,-1,2]
[5,4,-1,-3,-2]=>[-1,-5,-3,4,-2]
[5,-4,1,3,2]=>[5,1,3,-4,2]
[5,-4,1,3,-2]=>[-4,5,3,1,-2]
[5,-4,1,-3,2]=>[-4,5,-3,1,2]
[5,-4,1,-3,-2]=>[-4,-3,1,5,-2]
[5,-4,-1,3,2]=>[5,-1,3,-4,2]
[5,-4,-1,3,-2]=>[-4,5,3,-1,-2]
[5,-4,-1,-3,2]=>[-4,5,-3,-1,2]
[5,-4,-1,-3,-2]=>[-4,-3,-1,5,-2]
[-5,4,1,3,2]=>[4,3,1,-5,2]
[-5,4,1,3,-2]=>[4,-5,3,1,-2]
[-5,4,1,-3,2]=>[4,-5,-3,1,2]
[-5,4,1,-3,-2]=>[-5,1,-3,4,-2]
[-5,4,-1,3,2]=>[4,3,-1,-5,2]
[-5,4,-1,3,-2]=>[4,-5,3,-1,-2]
[-5,4,-1,-3,2]=>[4,-5,-3,-1,2]
[-5,4,-1,-3,-2]=>[-5,-1,-3,4,-2]
[-5,-4,1,3,2]=>[1,5,3,-4,2]
[-5,-4,1,3,-2]=>[4,5,3,1,-2]
[-5,-4,1,-3,2]=>[4,5,-3,1,2]
[-5,-4,1,-3,-2]=>[4,-3,1,5,-2]
[-5,-4,-1,3,2]=>[-1,5,3,-4,2]
[-5,-4,-1,3,-2]=>[4,5,3,-1,-2]
[-5,-4,-1,-3,2]=>[4,5,-3,-1,2]
[-5,-4,-1,-3,-2]=>[4,-3,-1,5,-2]
[5,4,2,1,3]=>[-4,-5,-2,1,3]
[5,4,2,1,-3]=>[-2,1,-4,-5,-3]
[5,4,2,-1,3]=>[-4,-5,-2,-1,3]
[5,4,2,-1,-3]=>[-2,-1,-4,-5,-3]
[5,4,-2,1,3]=>[5,-2,1,4,3]
[5,4,-2,1,-3]=>[-2,4,-5,1,-3]
[5,4,-2,-1,3]=>[5,-2,-1,4,3]
[5,4,-2,-1,-3]=>[-2,4,-5,-1,-3]
[5,-4,2,1,3]=>[5,-4,2,1,3]
[5,-4,2,1,-3]=>[2,-5,1,-4,-3]
[5,-4,2,-1,3]=>[5,-4,2,-1,3]
[5,-4,2,-1,-3]=>[2,-5,-1,-4,-3]
[5,-4,-2,1,3]=>[-2,1,4,5,3]
[5,-4,-2,1,-3]=>[4,5,-2,1,-3]
[5,-4,-2,-1,3]=>[-2,-1,4,5,3]
[5,-4,-2,-1,-3]=>[4,5,-2,-1,-3]
[-5,4,2,1,3]=>[-4,-5,2,1,3]
[-5,4,2,1,-3]=>[2,1,-4,-5,-3]
[-5,4,2,-1,3]=>[-4,-5,2,-1,3]
[-5,4,2,-1,-3]=>[2,-1,-4,-5,-3]
[-5,4,-2,1,3]=>[-2,5,1,4,3]
[-5,4,-2,1,-3]=>[-5,4,-2,1,-3]
[-5,4,-2,-1,3]=>[-2,5,-1,4,3]
[-5,4,-2,-1,-3]=>[-5,4,-2,-1,-3]
[-5,-4,2,1,3]=>[2,-4,5,1,3]
[-5,-4,2,1,-3]=>[-5,2,1,-4,-3]
[-5,-4,2,-1,3]=>[2,-4,5,-1,3]
[-5,-4,2,-1,-3]=>[-5,2,-1,-4,-3]
[-5,-4,-2,1,3]=>[2,1,4,5,3]
[-5,-4,-2,1,-3]=>[4,5,2,1,-3]
[-5,-4,-2,-1,3]=>[2,-1,4,5,3]
[-5,-4,-2,-1,-3]=>[4,5,2,-1,-3]
[5,4,2,3,1]=>[-4,2,3,-5,1]
[5,4,2,3,-1]=>[-4,2,3,-5,-1]
[5,4,2,-3,1]=>[4,-5,-3,2,1]
[5,4,2,-3,-1]=>[4,-5,-3,2,-1]
[5,4,-2,3,1]=>[-4,3,-5,-2,1]
[5,4,-2,3,-1]=>[-4,3,-5,-2,-1]
[5,4,-2,-3,1]=>[-4,-5,-3,2,1]
[5,4,-2,-3,-1]=>[-4,-5,-3,2,-1]
[5,-4,2,3,1]=>[2,5,3,-4,1]
[5,-4,2,3,-1]=>[2,5,3,-4,-1]
[5,-4,2,-3,1]=>[-4,-3,5,2,1]
[5,-4,2,-3,-1]=>[-4,-3,5,2,-1]
[5,-4,-2,3,1]=>[5,-4,3,-2,1]
[5,-4,-2,3,-1]=>[5,-4,3,-2,-1]
[5,-4,-2,-3,1]=>[-4,-2,-3,5,1]
[5,-4,-2,-3,-1]=>[-4,-2,-3,5,-1]
[-5,4,2,3,1]=>[4,2,3,-5,1]
[-5,4,2,3,-1]=>[4,2,3,-5,-1]
[-5,4,2,-3,1]=>[-5,4,-3,2,1]
[-5,4,2,-3,-1]=>[-5,4,-3,2,-1]
[-5,4,-2,3,1]=>[4,3,-5,-2,1]
[-5,4,-2,3,-1]=>[4,3,-5,-2,-1]
[-5,4,-2,-3,1]=>[-2,-5,-3,4,1]
[-5,4,-2,-3,-1]=>[-2,-5,-3,4,-1]
[-5,-4,2,3,1]=>[4,5,3,-2,1]
[-5,-4,2,3,-1]=>[4,5,3,-2,-1]
[-5,-4,2,-3,1]=>[4,-3,5,2,1]
[-5,-4,2,-3,-1]=>[4,-3,5,2,-1]
[-5,-4,-2,3,1]=>[-4,5,3,-2,1]
[-5,-4,-2,3,-1]=>[-4,5,3,-2,-1]
[-5,-4,-2,-3,1]=>[4,-2,-3,5,1]
[-5,-4,-2,-3,-1]=>[4,-2,-3,5,-1]
[5,4,3,1,2]=>[-4,-5,3,1,2]
[5,4,3,1,-2]=>[1,-3,-4,-5,-2]
[5,4,3,-1,2]=>[-4,-5,3,-1,2]
[5,4,3,-1,-2]=>[-1,-3,-4,-5,-2]
[5,4,-3,1,2]=>[-3,5,1,4,2]
[5,4,-3,1,-2]=>[-4,-5,-3,1,-2]
[5,4,-3,-1,2]=>[-3,5,-1,4,2]
[5,4,-3,-1,-2]=>[-4,-5,-3,-1,-2]
[5,-4,3,1,2]=>[-4,5,3,1,2]
[5,-4,3,1,-2]=>[-3,-5,1,-4,-2]
[5,-4,3,-1,2]=>[-4,5,3,-1,2]
[5,-4,3,-1,-2]=>[-3,-5,-1,-4,-2]
[5,-4,-3,1,2]=>[3,1,4,5,2]
[5,-4,-3,1,-2]=>[-4,5,-3,1,-2]
[5,-4,-3,-1,2]=>[3,-1,4,5,2]
[5,-4,-3,-1,-2]=>[-4,5,-3,-1,-2]
[-5,4,3,1,2]=>[4,-5,3,1,2]
[-5,4,3,1,-2]=>[-3,1,-4,-5,-2]
[-5,4,3,-1,2]=>[4,-5,3,-1,2]
[-5,4,3,-1,-2]=>[-3,-1,-4,-5,-2]
[-5,4,-3,1,2]=>[3,5,1,4,2]
[-5,4,-3,1,-2]=>[4,-5,-3,1,-2]
[-5,4,-3,-1,2]=>[3,5,-1,4,2]
[-5,4,-3,-1,-2]=>[4,-5,-3,-1,-2]
[-5,-4,3,1,2]=>[4,5,3,1,2]
[-5,-4,3,1,-2]=>[3,-5,1,-4,-2]
[-5,-4,3,-1,2]=>[4,5,3,-1,2]
[-5,-4,3,-1,-2]=>[3,-5,-1,-4,-2]
[-5,-4,-3,1,2]=>[1,3,4,5,2]
[-5,-4,-3,1,-2]=>[4,5,-3,1,-2]
[-5,-4,-3,-1,2]=>[-1,3,4,5,2]
[-5,-4,-3,-1,-2]=>[4,5,-3,-1,-2]
[5,4,3,2,1]=>[-2,-3,-4,-5,1]
[5,4,3,2,-1]=>[-2,-3,-4,-5,-1]
[5,4,3,-2,1]=>[-4,-5,-2,3,1]
[5,4,3,-2,-1]=>[-4,-5,-2,3,-1]
[5,4,-3,2,1]=>[-4,-5,2,-3,1]
[5,4,-3,2,-1]=>[-4,-5,2,-3,-1]
[5,4,-3,-2,1]=>[-3,-2,5,4,1]
[5,4,-3,-2,-1]=>[-3,-2,5,4,-1]
[5,-4,3,2,1]=>[-3,2,-5,-4,1]
[5,-4,3,2,-1]=>[-3,2,-5,-4,-1]
[5,-4,3,-2,1]=>[-4,5,-2,3,1]
[5,-4,3,-2,-1]=>[-4,5,-2,3,-1]
[5,-4,-3,2,1]=>[-4,5,2,-3,1]
[5,-4,-3,2,-1]=>[-4,5,2,-3,-1]
[5,-4,-3,-2,1]=>[-2,3,4,5,1]
[5,-4,-3,-2,-1]=>[-2,3,4,5,-1]
[-5,4,3,2,1]=>[2,-3,-4,-5,1]
[-5,4,3,2,-1]=>[2,-3,-4,-5,-1]
[-5,4,3,-2,1]=>[4,-5,-2,3,1]
[-5,4,3,-2,-1]=>[4,-5,-2,3,-1]
[-5,4,-3,2,1]=>[4,-5,2,-3,1]
[-5,4,-3,2,-1]=>[4,-5,2,-3,-1]
[-5,4,-3,-2,1]=>[3,-2,5,4,1]
[-5,4,-3,-2,-1]=>[3,-2,5,4,-1]
[-5,-4,3,2,1]=>[3,2,-5,-4,1]
[-5,-4,3,2,-1]=>[3,2,-5,-4,-1]
[-5,-4,3,-2,1]=>[4,5,-2,3,1]
[-5,-4,3,-2,-1]=>[4,5,-2,3,-1]
[-5,-4,-3,2,1]=>[4,5,2,-3,1]
[-5,-4,-3,2,-1]=>[4,5,2,-3,-1]
[-5,-4,-3,-2,1]=>[2,3,4,5,1]
[-5,-4,-3,-2,-1]=>[2,3,4,5,-1]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[1,2,3,4,-6,5]
[1,2,3,5,4,6]=>[1,2,3,-5,4,6]
[1,2,3,5,6,4]=>[1,2,3,6,-5,4]
[1,2,3,6,4,5]=>[1,2,-6,3,4,5]
[1,2,3,6,5,4]=>[1,2,3,-5,-6,4]
[1,2,4,3,5,6]=>[1,2,-4,3,5,6]
[1,2,4,3,6,5]=>[1,2,-4,3,-6,5]
[1,2,4,5,3,6]=>[1,2,5,-4,3,6]
[1,2,4,5,6,3]=>[1,2,5,6,-4,3]
[1,2,4,6,3,5]=>[1,2,-4,6,3,5]
[1,2,4,6,5,3]=>[1,2,5,-4,-6,3]
[1,2,5,3,4,6]=>[1,-5,2,3,4,6]
[1,2,5,3,6,4]=>[1,2,-6,3,-5,4]
[1,2,5,4,3,6]=>[1,2,-4,-5,3,6]
[1,2,5,4,6,3]=>[1,2,-4,6,-5,3]
[1,2,5,6,3,4]=>[1,-5,2,6,3,4]
[1,2,5,6,4,3]=>[1,2,4,-6,-5,3]
[1,2,6,3,4,5]=>[-6,1,2,3,4,5]
[1,2,6,3,5,4]=>[1,-5,2,3,-6,4]
[1,2,6,4,3,5]=>[1,2,-6,-4,3,5]
[1,2,6,4,5,3]=>[1,-4,2,5,-6,3]
[1,2,6,5,3,4]=>[1,-5,-6,2,3,4]
[1,2,6,5,4,3]=>[1,2,-4,-5,-6,3]
[1,3,2,4,5,6]=>[1,-3,2,4,5,6]
[1,3,2,4,6,5]=>[1,-3,2,4,-6,5]
[1,3,2,5,4,6]=>[1,-3,2,-5,4,6]
[1,3,2,5,6,4]=>[1,-3,2,6,-5,4]
[1,3,2,6,4,5]=>[1,-3,-6,2,4,5]
[1,3,2,6,5,4]=>[1,-3,2,-5,-6,4]
[1,3,4,2,5,6]=>[1,4,-3,2,5,6]
[1,3,4,2,6,5]=>[1,4,-3,2,-6,5]
[1,3,4,5,2,6]=>[1,4,5,-3,2,6]
[1,3,4,5,6,2]=>[1,4,5,6,-3,2]
[1,3,4,6,2,5]=>[1,4,-3,6,2,5]
[1,3,4,6,5,2]=>[1,4,5,-3,-6,2]
[1,3,5,2,4,6]=>[1,-3,5,2,4,6]
[1,3,5,2,6,4]=>[1,6,-3,2,-5,4]
[1,3,5,4,2,6]=>[1,4,-3,-5,2,6]
[1,3,5,4,6,2]=>[1,4,-3,6,-5,2]
[1,3,5,6,2,4]=>[1,-3,5,6,2,4]
[1,3,5,6,4,2]=>[1,6,4,-3,-5,2]
[1,3,6,2,4,5]=>[1,-3,2,6,4,5]
[1,3,6,2,5,4]=>[1,-3,5,2,-6,4]
[1,3,6,4,2,5]=>[1,4,-6,-3,2,5]
[1,3,6,4,5,2]=>[1,-3,4,5,-6,2]
[1,3,6,5,2,4]=>[1,-3,-6,5,2,4]
[1,3,6,5,4,2]=>[1,4,-3,-5,-6,2]
[1,4,2,3,5,6]=>[-4,1,2,3,5,6]
[1,4,2,3,6,5]=>[-4,1,2,3,-6,5]
[1,4,2,5,3,6]=>[1,-5,2,-4,3,6]
[1,4,2,5,6,3]=>[1,-5,2,6,-4,3]
[1,4,2,6,3,5]=>[-6,1,2,-4,3,5]
[1,4,2,6,5,3]=>[1,-5,2,-4,-6,3]
[1,4,3,2,5,6]=>[1,-3,-4,2,5,6]
[1,4,3,2,6,5]=>[1,-3,-4,2,-6,5]
[1,4,3,5,2,6]=>[1,-3,5,-4,2,6]
[1,4,3,5,6,2]=>[1,-3,5,6,-4,2]
[1,4,3,6,2,5]=>[1,-3,-4,6,2,5]
[1,4,3,6,5,2]=>[1,-3,5,-4,-6,2]
[1,4,5,2,3,6]=>[-4,1,5,2,3,6]
[1,4,5,2,6,3]=>[1,6,-5,2,-4,3]
[1,4,5,3,2,6]=>[1,3,-5,-4,2,6]
[1,4,5,3,6,2]=>[1,3,-5,6,-4,2]
[1,4,5,6,2,3]=>[-4,1,5,6,2,3]
[1,4,5,6,3,2]=>[1,6,3,-5,-4,2]
[1,4,6,2,3,5]=>[-4,1,2,6,3,5]
[1,4,6,2,5,3]=>[1,-6,5,2,-4,3]
[1,4,6,3,2,5]=>[1,-6,3,-4,2,5]
[1,4,6,3,5,2]=>[1,-6,3,5,-4,2]
[1,4,6,5,2,3]=>[-4,1,-6,5,2,3]
[1,4,6,5,3,2]=>[1,3,-5,-4,-6,2]
[1,5,2,3,4,6]=>[5,1,2,3,4,6]
[1,5,2,3,6,4]=>[-6,1,2,3,-5,4]
[1,5,2,4,3,6]=>[-4,1,2,-5,3,6]
[1,5,2,4,6,3]=>[-4,1,2,6,-5,3]
[1,5,2,6,3,4]=>[-6,1,-5,2,3,4]
[1,5,2,6,4,3]=>[1,-4,2,-6,-5,3]
[1,5,3,2,4,6]=>[1,-5,-3,2,4,6]
[1,5,3,2,6,4]=>[1,-3,-6,2,-5,4]
[1,5,3,4,2,6]=>[-3,1,4,-5,2,6]
[1,5,3,4,6,2]=>[-3,1,4,6,-5,2]
[1,5,3,6,2,4]=>[1,-5,-3,6,2,4]
[1,5,3,6,4,2]=>[1,-3,4,-6,-5,2]
[1,5,4,2,3,6]=>[-4,-5,1,2,3,6]
[1,5,4,2,6,3]=>[1,-6,-4,2,-5,3]
[1,5,4,3,2,6]=>[1,-3,-4,-5,2,6]
[1,5,4,3,6,2]=>[1,-3,-4,6,-5,2]
[1,5,4,6,2,3]=>[-4,-5,1,6,2,3]
[1,5,4,6,3,2]=>[1,-6,3,-4,-5,2]
[1,5,6,2,3,4]=>[5,1,2,6,3,4]
[1,5,6,2,4,3]=>[-6,1,4,2,-5,3]
[1,5,6,3,2,4]=>[1,-6,-5,3,2,4]
[1,5,6,3,4,2]=>[-6,1,3,4,-5,2]
[1,5,6,4,2,3]=>[-6,1,-5,4,2,3]
[1,5,6,4,3,2]=>[1,3,-4,-6,-5,2]
[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[1,6,2,3,5,4]=>[5,1,2,3,-6,4]
[1,6,2,4,3,5]=>[-4,1,-6,2,3,5]
[1,6,2,4,5,3]=>[4,1,2,5,-6,3]
[1,6,2,5,3,4]=>[5,1,-6,2,3,4]
[1,6,2,5,4,3]=>[-4,1,2,-5,-6,3]
[1,6,3,2,4,5]=>[-6,1,-3,2,4,5]
[1,6,3,2,5,4]=>[1,-5,-3,2,-6,4]
[1,6,3,4,2,5]=>[-3,1,-6,4,2,5]
[1,6,3,4,5,2]=>[3,1,4,5,-6,2]
[1,6,3,5,2,4]=>[-3,-6,1,5,2,4]
[1,6,3,5,4,2]=>[-3,1,4,-5,-6,2]
[1,6,4,2,3,5]=>[-6,-4,1,2,3,5]
[1,6,4,2,5,3]=>[1,-5,-6,2,-4,3]
[1,6,4,3,2,5]=>[1,-3,-6,-4,2,5]
[1,6,4,3,5,2]=>[1,-3,-6,5,-4,2]
[1,6,4,5,2,3]=>[4,-6,1,5,2,3]
[1,6,4,5,3,2]=>[-5,1,3,-4,-6,2]
[1,6,5,2,3,4]=>[-6,5,1,2,3,4]
[1,6,5,2,4,3]=>[-4,-5,1,2,-6,3]
[1,6,5,3,2,4]=>[1,-5,-6,-3,2,4]
[1,6,5,3,4,2]=>[-3,-5,1,4,-6,2]
[1,6,5,4,2,3]=>[-4,-5,-6,1,2,3]
[1,6,5,4,3,2]=>[1,-3,-4,-5,-6,2]
[2,1,3,4,5,6]=>[-2,1,3,4,5,6]
[2,1,3,4,6,5]=>[-2,1,3,4,-6,5]
[2,1,3,5,4,6]=>[-2,1,3,-5,4,6]
[2,1,3,5,6,4]=>[-2,1,3,6,-5,4]
[2,1,3,6,4,5]=>[-2,1,-6,3,4,5]
[2,1,3,6,5,4]=>[-2,1,3,-5,-6,4]
[2,1,4,3,5,6]=>[-2,1,-4,3,5,6]
[2,1,4,3,6,5]=>[-2,1,-4,3,-6,5]
[2,1,4,5,3,6]=>[-2,1,5,-4,3,6]
[2,1,4,5,6,3]=>[-2,1,5,6,-4,3]
[2,1,4,6,3,5]=>[-2,1,-4,6,3,5]
[2,1,4,6,5,3]=>[-2,1,5,-4,-6,3]
[2,1,5,3,4,6]=>[-2,-5,1,3,4,6]
[2,1,5,3,6,4]=>[-2,1,-6,3,-5,4]
[2,1,5,4,3,6]=>[-2,1,-4,-5,3,6]
[2,1,5,4,6,3]=>[-2,1,-4,6,-5,3]
[2,1,5,6,3,4]=>[-2,-5,1,6,3,4]
[2,1,5,6,4,3]=>[-2,1,4,-6,-5,3]
[2,1,6,3,4,5]=>[-6,-2,1,3,4,5]
[2,1,6,3,5,4]=>[-2,-5,1,3,-6,4]
[2,1,6,4,3,5]=>[-2,1,-6,-4,3,5]
[2,1,6,4,5,3]=>[-2,-4,1,5,-6,3]
[2,1,6,5,3,4]=>[-2,-5,-6,1,3,4]
[2,1,6,5,4,3]=>[-2,1,-4,-5,-6,3]
[2,3,1,4,5,6]=>[3,-2,1,4,5,6]
[2,3,1,4,6,5]=>[3,-2,1,4,-6,5]
[2,3,1,5,4,6]=>[3,-2,1,-5,4,6]
[2,3,1,5,6,4]=>[3,-2,1,6,-5,4]
[2,3,1,6,4,5]=>[3,-2,-6,1,4,5]
[2,3,1,6,5,4]=>[3,-2,1,-5,-6,4]
[2,3,4,1,5,6]=>[3,4,-2,1,5,6]
[2,3,4,1,6,5]=>[3,4,-2,1,-6,5]
[2,3,4,5,1,6]=>[3,4,5,-2,1,6]
[2,3,4,5,6,1]=>[3,4,5,6,-2,1]
[2,3,4,6,1,5]=>[3,4,-2,6,1,5]
[2,3,4,6,5,1]=>[3,4,5,-2,-6,1]
[2,3,5,1,4,6]=>[3,-2,5,1,4,6]
[2,3,5,1,6,4]=>[3,6,-2,1,-5,4]
[2,3,5,4,1,6]=>[3,4,-2,-5,1,6]
[2,3,5,4,6,1]=>[3,4,-2,6,-5,1]
[2,3,5,6,1,4]=>[3,-2,5,6,1,4]
[2,3,5,6,4,1]=>[3,6,4,-2,-5,1]
[2,3,6,1,4,5]=>[3,-2,1,6,4,5]
[2,3,6,1,5,4]=>[3,-2,5,1,-6,4]
[2,3,6,4,1,5]=>[3,4,-6,-2,1,5]
[2,3,6,4,5,1]=>[3,-2,4,5,-6,1]
[2,3,6,5,1,4]=>[3,-2,-6,5,1,4]
[2,3,6,5,4,1]=>[3,4,-2,-5,-6,1]
[2,4,1,3,5,6]=>[-2,4,1,3,5,6]
[2,4,1,3,6,5]=>[-2,4,1,3,-6,5]
[2,4,1,5,3,6]=>[5,-2,1,-4,3,6]
[2,4,1,5,6,3]=>[5,-2,1,6,-4,3]
[2,4,1,6,3,5]=>[-2,6,1,-4,3,5]
[2,4,1,6,5,3]=>[5,-2,1,-4,-6,3]
[2,4,3,1,5,6]=>[3,-2,-4,1,5,6]
[2,4,3,1,6,5]=>[3,-2,-4,1,-6,5]
[2,4,3,5,1,6]=>[3,-2,5,-4,1,6]
[2,4,3,5,6,1]=>[3,-2,5,6,-4,1]
[2,4,3,6,1,5]=>[3,-2,-4,6,1,5]
[2,4,3,6,5,1]=>[3,-2,5,-4,-6,1]
[2,4,5,1,3,6]=>[-2,4,5,1,3,6]
[2,4,5,1,6,3]=>[5,6,-2,1,-4,3]
[2,4,5,3,1,6]=>[5,3,-2,-4,1,6]
[2,4,5,3,6,1]=>[5,3,-2,6,-4,1]
[2,4,5,6,1,3]=>[-2,4,5,6,1,3]
[2,4,5,6,3,1]=>[5,6,3,-2,-4,1]
[2,4,6,1,3,5]=>[-2,4,1,6,3,5]
[2,4,6,1,5,3]=>[6,-2,5,1,-4,3]
[2,4,6,3,1,5]=>[3,6,-2,-4,1,5]
[2,4,6,3,5,1]=>[6,-2,3,5,-4,1]
[2,4,6,5,1,3]=>[-2,4,-6,5,1,3]
[2,4,6,5,3,1]=>[5,3,-2,-4,-6,1]
[2,5,1,3,4,6]=>[-2,1,5,3,4,6]
[2,5,1,3,6,4]=>[-2,6,1,3,-5,4]
[2,5,1,4,3,6]=>[-2,4,1,-5,3,6]
[2,5,1,4,6,3]=>[-2,4,1,6,-5,3]
[2,5,1,6,3,4]=>[-2,6,-5,1,3,4]
[2,5,1,6,4,3]=>[4,-2,1,-6,-5,3]
[2,5,3,1,4,6]=>[3,-5,-2,1,4,6]
[2,5,3,1,6,4]=>[3,-2,-6,1,-5,4]
[2,5,3,4,1,6]=>[-2,3,4,-5,1,6]
[2,5,3,4,6,1]=>[-2,3,4,6,-5,1]
[2,5,3,6,1,4]=>[3,-5,-2,6,1,4]
[2,5,3,6,4,1]=>[3,-2,4,-6,-5,1]
[2,5,4,1,3,6]=>[-2,-5,4,1,3,6]
[2,5,4,1,6,3]=>[6,-2,-4,1,-5,3]
[2,5,4,3,1,6]=>[3,-2,-4,-5,1,6]
[2,5,4,3,6,1]=>[3,-2,-4,6,-5,1]
[2,5,4,6,1,3]=>[-2,-5,4,6,1,3]
[2,5,4,6,3,1]=>[6,-2,3,-4,-5,1]
[2,5,6,1,3,4]=>[-2,1,5,6,3,4]
[2,5,6,1,4,3]=>[-2,6,4,1,-5,3]
[2,5,6,3,1,4]=>[3,6,-5,-2,1,4]
[2,5,6,3,4,1]=>[-2,6,3,4,-5,1]
[2,5,6,4,1,3]=>[-2,6,-5,4,1,3]
[2,5,6,4,3,1]=>[4,3,-2,-6,-5,1]
[2,6,1,3,4,5]=>[-2,1,3,6,4,5]
[2,6,1,3,5,4]=>[-2,1,5,3,-6,4]
[2,6,1,4,3,5]=>[-2,4,-6,1,3,5]
[2,6,1,4,5,3]=>[-2,1,4,5,-6,3]
[2,6,1,5,3,4]=>[-2,1,-6,5,3,4]
[2,6,1,5,4,3]=>[-2,4,1,-5,-6,3]
[2,6,3,1,4,5]=>[-6,3,-2,1,4,5]
[2,6,3,1,5,4]=>[3,-5,-2,1,-6,4]
[2,6,3,4,1,5]=>[-2,3,-6,4,1,5]
[2,6,3,4,5,1]=>[2,3,4,5,-6,1]
[2,6,3,5,1,4]=>[-2,-6,3,5,1,4]
[2,6,3,5,4,1]=>[-2,3,4,-5,-6,1]
[2,6,4,1,3,5]=>[-6,-2,4,1,3,5]
[2,6,4,1,5,3]=>[5,-4,-2,1,-6,3]
[2,6,4,3,1,5]=>[3,-2,-6,-4,1,5]
[2,6,4,3,5,1]=>[3,-2,-6,5,-4,1]
[2,6,4,5,1,3]=>[-6,-2,4,5,1,3]
[2,6,4,5,3,1]=>[-2,5,3,-4,-6,1]
[2,6,5,1,3,4]=>[-6,-2,1,5,3,4]
[2,6,5,1,4,3]=>[-2,-5,4,1,-6,3]
[2,6,5,3,1,4]=>[3,-5,-6,-2,1,4]
[2,6,5,3,4,1]=>[-2,-5,3,4,-6,1]
[2,6,5,4,1,3]=>[-2,-5,-6,4,1,3]
[2,6,5,4,3,1]=>[3,-2,-4,-5,-6,1]
[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[3,1,2,4,6,5]=>[3,1,2,4,-6,5]
[3,1,2,5,4,6]=>[3,1,2,-5,4,6]
[3,1,2,5,6,4]=>[3,1,2,6,-5,4]
[3,1,2,6,4,5]=>[3,1,-6,2,4,5]
[3,1,2,6,5,4]=>[3,1,2,-5,-6,4]
[3,1,4,2,5,6]=>[-4,1,-3,2,5,6]
[3,1,4,2,6,5]=>[-4,1,-3,2,-6,5]
[3,1,4,5,2,6]=>[-4,1,5,-3,2,6]
[3,1,4,5,6,2]=>[-4,1,5,6,-3,2]
[3,1,4,6,2,5]=>[-4,1,-3,6,2,5]
[3,1,4,6,5,2]=>[-4,1,5,-3,-6,2]
[3,1,5,2,4,6]=>[5,1,-3,2,4,6]
[3,1,5,2,6,4]=>[-6,1,-3,2,-5,4]
[3,1,5,4,2,6]=>[-4,1,-3,-5,2,6]
[3,1,5,4,6,2]=>[-4,1,-3,6,-5,2]
[3,1,5,6,2,4]=>[5,1,-3,6,2,4]
[3,1,5,6,4,2]=>[-6,1,4,-3,-5,2]
[3,1,6,2,4,5]=>[1,6,-3,2,4,5]
[3,1,6,2,5,4]=>[5,1,-3,2,-6,4]
[3,1,6,4,2,5]=>[-4,1,-6,-3,2,5]
[3,1,6,4,5,2]=>[-4,-3,1,5,-6,2]
[3,1,6,5,2,4]=>[5,1,-6,-3,2,4]
[3,1,6,5,4,2]=>[-4,1,-3,-5,-6,2]
[3,2,1,4,5,6]=>[-2,-3,1,4,5,6]
[3,2,1,4,6,5]=>[-2,-3,1,4,-6,5]
[3,2,1,5,4,6]=>[-2,-3,1,-5,4,6]
[3,2,1,5,6,4]=>[-2,-3,1,6,-5,4]
[3,2,1,6,4,5]=>[-2,-3,-6,1,4,5]
[3,2,1,6,5,4]=>[-2,-3,1,-5,-6,4]
[3,2,4,1,5,6]=>[-2,4,-3,1,5,6]
[3,2,4,1,6,5]=>[-2,4,-3,1,-6,5]
[3,2,4,5,1,6]=>[-2,4,5,-3,1,6]
[3,2,4,5,6,1]=>[-2,4,5,6,-3,1]
[3,2,4,6,1,5]=>[-2,4,-3,6,1,5]
[3,2,4,6,5,1]=>[-2,4,5,-3,-6,1]
[3,2,5,1,4,6]=>[-2,-3,5,1,4,6]
[3,2,5,1,6,4]=>[-2,6,-3,1,-5,4]
[3,2,5,4,1,6]=>[-2,4,-3,-5,1,6]
[3,2,5,4,6,1]=>[-2,4,-3,6,-5,1]
[3,2,5,6,1,4]=>[-2,-3,5,6,1,4]
[3,2,5,6,4,1]=>[-2,6,4,-3,-5,1]
[3,2,6,1,4,5]=>[-2,-3,1,6,4,5]
[3,2,6,1,5,4]=>[-2,-3,5,1,-6,4]
[3,2,6,4,1,5]=>[-2,4,-6,-3,1,5]
[3,2,6,4,5,1]=>[-2,-3,4,5,-6,1]
[3,2,6,5,1,4]=>[-2,-3,-6,5,1,4]
[3,2,6,5,4,1]=>[-2,4,-3,-5,-6,1]
[3,4,1,2,5,6]=>[3,4,1,2,5,6]
[3,4,1,2,6,5]=>[3,4,1,2,-6,5]
[3,4,1,5,2,6]=>[5,-4,1,-3,2,6]
[3,4,1,5,6,2]=>[5,-4,1,6,-3,2]
[3,4,1,6,2,5]=>[-4,6,1,-3,2,5]
[3,4,1,6,5,2]=>[5,-4,1,-3,-6,2]
[3,4,2,1,5,6]=>[2,-4,-3,1,5,6]
[3,4,2,1,6,5]=>[2,-4,-3,1,-6,5]
[3,4,2,5,1,6]=>[2,-4,5,-3,1,6]
[3,4,2,5,6,1]=>[2,-4,5,6,-3,1]
[3,4,2,6,1,5]=>[2,-4,-3,6,1,5]
[3,4,2,6,5,1]=>[2,-4,5,-3,-6,1]
[3,4,5,1,2,6]=>[3,4,5,1,2,6]
[3,4,5,1,6,2]=>[5,6,-4,1,-3,2]
[3,4,5,2,1,6]=>[5,2,-4,-3,1,6]
[3,4,5,2,6,1]=>[5,2,-4,6,-3,1]
[3,4,5,6,1,2]=>[3,4,5,6,1,2]
[3,4,5,6,2,1]=>[5,6,2,-4,-3,1]
[3,4,6,1,2,5]=>[3,4,1,6,2,5]
[3,4,6,1,5,2]=>[6,-4,5,1,-3,2]
[3,4,6,2,1,5]=>[2,6,-4,-3,1,5]
[3,4,6,2,5,1]=>[6,-4,2,5,-3,1]
[3,4,6,5,1,2]=>[3,4,-6,5,1,2]
[3,4,6,5,2,1]=>[5,2,-4,-3,-6,1]
[3,5,1,2,4,6]=>[3,1,5,2,4,6]
[3,5,1,2,6,4]=>[3,6,1,2,-5,4]
[3,5,1,4,2,6]=>[-5,4,1,-3,2,6]
[3,5,1,4,6,2]=>[-5,4,1,6,-3,2]
[3,5,1,6,2,4]=>[5,6,1,-3,2,4]
[3,5,1,6,4,2]=>[4,-6,1,-3,-5,2]
[3,5,2,1,4,6]=>[-5,2,-3,1,4,6]
[3,5,2,1,6,4]=>[2,-6,-3,1,-5,4]
[3,5,2,4,1,6]=>[-5,2,4,-3,1,6]
[3,5,2,4,6,1]=>[-5,2,4,6,-3,1]
[3,5,2,6,1,4]=>[-5,2,-3,6,1,4]
[3,5,2,6,4,1]=>[2,-6,4,-3,-5,1]
[3,5,4,1,2,6]=>[3,-5,4,1,2,6]
[3,5,4,1,6,2]=>[6,-4,-3,1,-5,2]
[3,5,4,2,1,6]=>[2,-4,-3,-5,1,6]
[3,5,4,2,6,1]=>[2,-4,-3,6,-5,1]
[3,5,4,6,1,2]=>[3,-5,4,6,1,2]
[3,5,4,6,2,1]=>[6,-4,2,-3,-5,1]
[3,5,6,1,2,4]=>[3,1,5,6,2,4]
[3,5,6,1,4,2]=>[-5,6,4,1,-3,2]
[3,5,6,2,1,4]=>[2,-5,6,-3,1,4]
[3,5,6,2,4,1]=>[-5,6,2,4,-3,1]
[3,5,6,4,1,2]=>[3,6,-5,4,1,2]
[3,5,6,4,2,1]=>[4,2,-6,-3,-5,1]
[3,6,1,2,4,5]=>[3,1,2,6,4,5]
[3,6,1,2,5,4]=>[3,1,5,2,-6,4]
[3,6,1,4,2,5]=>[6,4,1,-3,2,5]
[3,6,1,4,5,2]=>[-6,1,4,5,-3,2]
[3,6,1,5,2,4]=>[6,1,5,-3,2,4]
[3,6,1,5,4,2]=>[-5,4,1,-3,-6,2]
[3,6,2,1,4,5]=>[6,2,-3,1,4,5]
[3,6,2,1,5,4]=>[-5,2,-3,1,-6,4]
[3,6,2,4,1,5]=>[6,2,4,-3,1,5]
[3,6,2,4,5,1]=>[-2,6,4,5,-3,1]
[3,6,2,5,1,4]=>[6,2,-3,5,1,4]
[3,6,2,5,4,1]=>[-5,2,4,-3,-6,1]
[3,6,4,1,2,5]=>[-6,3,4,1,2,5]
[3,6,4,1,5,2]=>[5,-4,-6,1,-3,2]
[3,6,4,2,1,5]=>[2,-4,-6,-3,1,5]
[3,6,4,2,5,1]=>[2,-4,-6,5,-3,1]
[3,6,4,5,1,2]=>[-6,3,4,5,1,2]
[3,6,4,5,2,1]=>[-4,5,2,-3,-6,1]
[3,6,5,1,2,4]=>[-6,3,1,5,2,4]
[3,6,5,1,4,2]=>[-5,-3,4,1,-6,2]
[3,6,5,2,1,4]=>[-5,2,-6,-3,1,4]
[3,6,5,2,4,1]=>[-5,-3,2,4,-6,1]
[3,6,5,4,1,2]=>[3,-5,-6,4,1,2]
[3,6,5,4,2,1]=>[2,-4,-3,-5,-6,1]
[4,1,2,3,5,6]=>[1,4,2,3,5,6]
[4,1,2,3,6,5]=>[1,4,2,3,-6,5]
[4,1,2,5,3,6]=>[5,1,2,-4,3,6]
[4,1,2,5,6,3]=>[5,1,2,6,-4,3]
[4,1,2,6,3,5]=>[1,6,2,-4,3,5]
[4,1,2,6,5,3]=>[5,1,2,-4,-6,3]
[4,1,3,2,5,6]=>[3,1,-4,2,5,6]
[4,1,3,2,6,5]=>[3,1,-4,2,-6,5]
[4,1,3,5,2,6]=>[3,1,5,-4,2,6]
[4,1,3,5,6,2]=>[3,1,5,6,-4,2]
[4,1,3,6,2,5]=>[3,1,-4,6,2,5]
[4,1,3,6,5,2]=>[3,1,5,-4,-6,2]
[4,1,5,2,3,6]=>[5,-4,1,2,3,6]
[4,1,5,2,6,3]=>[-6,1,-5,2,-4,3]
[4,1,5,3,2,6]=>[-3,1,-5,-4,2,6]
[4,1,5,3,6,2]=>[-3,1,-5,6,-4,2]
[4,1,5,6,2,3]=>[5,-4,1,6,2,3]
[4,1,5,6,3,2]=>[-6,1,3,-5,-4,2]
[4,1,6,2,3,5]=>[-4,6,1,2,3,5]
[4,1,6,2,5,3]=>[5,1,-6,2,-4,3]
[4,1,6,3,2,5]=>[-3,-6,1,-4,2,5]
[4,1,6,3,5,2]=>[3,1,-6,5,-4,2]
[4,1,6,5,2,3]=>[5,-4,-6,1,2,3]
[4,1,6,5,3,2]=>[-3,1,-5,-4,-6,2]
[4,2,1,3,5,6]=>[-4,-2,1,3,5,6]
[4,2,1,3,6,5]=>[-4,-2,1,3,-6,5]
[4,2,1,5,3,6]=>[-2,-5,1,-4,3,6]
[4,2,1,5,6,3]=>[-2,-5,1,6,-4,3]
[4,2,1,6,3,5]=>[-6,-2,1,-4,3,5]
[4,2,1,6,5,3]=>[-2,-5,1,-4,-6,3]
[4,2,3,1,5,6]=>[2,3,-4,1,5,6]
[4,2,3,1,6,5]=>[2,3,-4,1,-6,5]
[4,2,3,5,1,6]=>[2,3,5,-4,1,6]
[4,2,3,5,6,1]=>[2,3,5,6,-4,1]
[4,2,3,6,1,5]=>[2,3,-4,6,1,5]
[4,2,3,6,5,1]=>[2,3,5,-4,-6,1]
[4,2,5,1,3,6]=>[-4,-2,5,1,3,6]
[4,2,5,1,6,3]=>[-2,6,-5,1,-4,3]
[4,2,5,3,1,6]=>[-2,3,-5,-4,1,6]
[4,2,5,3,6,1]=>[-2,3,-5,6,-4,1]
[4,2,5,6,1,3]=>[-4,-2,5,6,1,3]
[4,2,5,6,3,1]=>[-2,6,3,-5,-4,1]
[4,2,6,1,3,5]=>[-4,-2,1,6,3,5]
[4,2,6,1,5,3]=>[-2,-6,5,1,-4,3]
[4,2,6,3,1,5]=>[-2,-6,3,-4,1,5]
[4,2,6,3,5,1]=>[2,3,-6,5,-4,1]
[4,2,6,5,1,3]=>[-4,-2,-6,5,1,3]
[4,2,6,5,3,1]=>[-2,3,-5,-4,-6,1]
[4,3,1,2,5,6]=>[-4,3,1,2,5,6]
[4,3,1,2,6,5]=>[-4,3,1,2,-6,5]
[4,3,1,5,2,6]=>[-5,-3,1,-4,2,6]
[4,3,1,5,6,2]=>[-5,-3,1,6,-4,2]
[4,3,1,6,2,5]=>[6,-3,1,-4,2,5]
[4,3,1,6,5,2]=>[-5,-3,1,-4,-6,2]
[4,3,2,1,5,6]=>[-2,-3,-4,1,5,6]
[4,3,2,1,6,5]=>[-2,-3,-4,1,-6,5]
[4,3,2,5,1,6]=>[-2,-3,5,-4,1,6]
[4,3,2,5,6,1]=>[-2,-3,5,6,-4,1]
[4,3,2,6,1,5]=>[-2,-3,-4,6,1,5]
[4,3,2,6,5,1]=>[-2,-3,5,-4,-6,1]
[4,3,5,1,2,6]=>[-4,3,5,1,2,6]
[4,3,5,1,6,2]=>[-5,6,-3,1,-4,2]
[4,3,5,2,1,6]=>[-5,2,-3,-4,1,6]
[4,3,5,2,6,1]=>[-5,2,-3,6,-4,1]
[4,3,5,6,1,2]=>[-4,3,5,6,1,2]
[4,3,5,6,2,1]=>[-5,6,2,-3,-4,1]
[4,3,6,1,2,5]=>[-4,3,1,6,2,5]
[4,3,6,1,5,2]=>[-6,-3,5,1,-4,2]
[4,3,6,2,1,5]=>[6,2,-3,-4,1,5]
[4,3,6,2,5,1]=>[-6,-3,2,5,-4,1]
[4,3,6,5,1,2]=>[-4,3,-6,5,1,2]
[4,3,6,5,2,1]=>[-5,2,-3,-4,-6,1]
[4,5,1,2,3,6]=>[1,4,5,2,3,6]
[4,5,1,2,6,3]=>[5,6,1,2,-4,3]
[4,5,1,3,2,6]=>[5,3,1,-4,2,6]
[4,5,1,3,6,2]=>[5,3,1,6,-4,2]
[4,5,1,6,2,3]=>[5,6,-4,1,2,3]
[4,5,1,6,3,2]=>[3,-6,1,-5,-4,2]
[4,5,2,1,3,6]=>[-5,-4,2,1,3,6]
[4,5,2,1,6,3]=>[2,-6,-5,1,-4,3]
[4,5,2,3,1,6]=>[5,2,3,-4,1,6]
[4,5,2,3,6,1]=>[5,2,3,6,-4,1]
[4,5,2,6,1,3]=>[-5,-4,2,6,1,3]
[4,5,2,6,3,1]=>[2,-6,3,-5,-4,1]
[4,5,3,1,2,6]=>[5,-4,3,1,2,6]
[4,5,3,1,6,2]=>[6,-3,-5,1,-4,2]
[4,5,3,2,1,6]=>[2,-3,-5,-4,1,6]
[4,5,3,2,6,1]=>[2,-3,-5,6,-4,1]
[4,5,3,6,1,2]=>[5,-4,3,6,1,2]
[4,5,3,6,2,1]=>[6,-3,2,-5,-4,1]
[4,5,6,1,2,3]=>[1,4,5,6,2,3]
[4,5,6,1,3,2]=>[5,6,3,1,-4,2]
[4,5,6,2,1,3]=>[2,-5,-4,6,1,3]
[4,5,6,2,3,1]=>[5,6,2,3,-4,1]
[4,5,6,3,1,2]=>[5,6,-4,3,1,2]
[4,5,6,3,2,1]=>[3,2,-6,-5,-4,1]
[4,6,1,2,3,5]=>[1,4,2,6,3,5]
[4,6,1,2,5,3]=>[6,1,5,2,-4,3]
[4,6,1,3,2,5]=>[3,6,1,-4,2,5]
[4,6,1,3,5,2]=>[6,1,3,5,-4,2]
[4,6,1,5,2,3]=>[6,1,-4,5,2,3]
[4,6,1,5,3,2]=>[-5,3,1,-6,-4,2]
[4,6,2,1,3,5]=>[6,-4,2,1,3,5]
[4,6,2,1,5,3]=>[-5,2,-6,1,-4,3]
[4,6,2,3,1,5]=>[2,6,3,-4,1,5]
[4,6,2,3,5,1]=>[2,6,3,5,-4,1]
[4,6,2,5,1,3]=>[6,-4,2,5,1,3]
[4,6,2,5,3,1]=>[-5,2,3,-6,-4,1]
[4,6,3,1,2,5]=>[-4,6,3,1,2,5]
[4,6,3,1,5,2]=>[-3,5,-6,1,-4,2]
[4,6,3,2,1,5]=>[2,-6,-3,-4,1,5]
[4,6,3,2,5,1]=>[-3,2,-6,5,-4,1]
[4,6,3,5,1,2]=>[-4,6,3,5,1,2]
[4,6,3,5,2,1]=>[-3,5,2,-6,-4,1]
[4,6,5,1,2,3]=>[6,4,1,5,2,3]
[4,6,5,1,3,2]=>[5,-4,3,1,-6,2]
[4,6,5,2,1,3]=>[-5,-4,-6,2,1,3]
[4,6,5,2,3,1]=>[5,-4,2,3,-6,1]
[4,6,5,3,1,2]=>[5,-4,-6,3,1,2]
[4,6,5,3,2,1]=>[2,-3,-5,-4,-6,1]
[5,1,2,3,4,6]=>[1,2,5,3,4,6]
[5,1,2,3,6,4]=>[1,6,2,3,-5,4]
[5,1,2,4,3,6]=>[1,4,2,-5,3,6]
[5,1,2,4,6,3]=>[1,4,2,6,-5,3]
[5,1,2,6,3,4]=>[1,6,-5,2,3,4]
[5,1,2,6,4,3]=>[4,1,2,-6,-5,3]
[5,1,3,2,4,6]=>[3,-5,1,2,4,6]
[5,1,3,2,6,4]=>[3,1,-6,2,-5,4]
[5,1,3,4,2,6]=>[1,3,4,-5,2,6]
[5,1,3,4,6,2]=>[1,3,4,6,-5,2]
[5,1,3,6,2,4]=>[3,-5,1,6,2,4]
[5,1,3,6,4,2]=>[3,1,4,-6,-5,2]
[5,1,4,2,3,6]=>[1,-5,4,2,3,6]
[5,1,4,2,6,3]=>[6,1,-4,2,-5,3]
[5,1,4,3,2,6]=>[3,1,-4,-5,2,6]
[5,1,4,6,2,3]=>[1,-5,4,6,2,3]
[5,1,4,6,3,2]=>[6,1,3,-4,-5,2]
[5,1,6,2,3,4]=>[5,6,1,2,3,4]
[5,1,6,2,4,3]=>[4,-6,1,2,-5,3]
[5,1,6,3,2,4]=>[-3,-6,-5,1,2,4]
[5,1,6,3,4,2]=>[3,-6,1,4,-5,2]
[5,1,6,4,2,3]=>[4,-6,-5,1,2,3]
[5,1,6,4,3,2]=>[-3,1,-4,-6,-5,2]
[5,2,1,3,4,6]=>[5,-2,1,3,4,6]
[5,2,1,3,6,4]=>[-6,-2,1,3,-5,4]
[5,2,1,4,3,6]=>[-4,-2,1,-5,3,6]
[5,2,1,4,6,3]=>[-4,-2,1,6,-5,3]
[5,2,1,6,3,4]=>[-6,-2,-5,1,3,4]
[5,2,1,6,4,3]=>[-2,-4,1,-6,-5,3]
[5,2,3,1,4,6]=>[2,-5,3,1,4,6]
[5,2,3,1,6,4]=>[2,3,-6,1,-5,4]
[5,2,3,4,1,6]=>[5,3,4,-2,1,6]
[5,2,3,4,6,1]=>[5,3,4,6,-2,1]
[5,2,3,6,1,4]=>[2,-5,3,6,1,4]
[5,2,3,6,4,1]=>[2,3,4,-6,-5,1]
[5,2,4,1,3,6]=>[-5,2,4,1,3,6]
[5,2,4,1,6,3]=>[2,6,-4,1,-5,3]
[5,2,4,3,1,6]=>[2,3,-4,-5,1,6]
[5,2,4,3,6,1]=>[2,3,-4,6,-5,1]
[5,2,4,6,1,3]=>[-5,2,4,6,1,3]
[5,2,4,6,3,1]=>[2,6,3,-4,-5,1]
[5,2,6,1,3,4]=>[5,-2,1,6,3,4]
[5,2,6,1,4,3]=>[-6,-2,4,1,-5,3]
[5,2,6,3,1,4]=>[-2,-6,-5,3,1,4]
[5,2,6,3,4,1]=>[2,-6,3,4,-5,1]
[5,2,6,4,1,3]=>[-6,-2,-5,4,1,3]
[5,2,6,4,3,1]=>[-2,3,-4,-6,-5,1]
[5,3,1,2,4,6]=>[5,3,1,2,4,6]
[5,3,1,2,6,4]=>[-6,3,1,2,-5,4]
[5,3,1,4,2,6]=>[-4,-5,1,-3,2,6]
[5,3,1,4,6,2]=>[-4,-5,1,6,-3,2]
[5,3,1,6,2,4]=>[6,-3,-5,1,2,4]
[5,3,1,6,4,2]=>[-4,-3,1,-6,-5,2]
[5,3,2,1,4,6]=>[-2,-5,-3,1,4,6]
[5,3,2,1,6,4]=>[-2,-3,-6,1,-5,4]
[5,3,2,4,1,6]=>[-2,-5,4,-3,1,6]
[5,3,2,4,6,1]=>[-2,-5,4,6,-3,1]
[5,3,2,6,1,4]=>[-2,-5,-3,6,1,4]
[5,3,2,6,4,1]=>[-2,-3,4,-6,-5,1]
[5,3,4,1,2,6]=>[5,3,4,1,2,6]
[5,3,4,1,6,2]=>[4,6,-3,1,-5,2]
[5,3,4,2,1,6]=>[4,2,-3,-5,1,6]
[5,3,4,2,6,1]=>[4,2,-3,6,-5,1]
[5,3,4,6,1,2]=>[5,3,4,6,1,2]
[5,3,4,6,2,1]=>[4,6,2,-3,-5,1]
[5,3,6,1,2,4]=>[5,3,1,6,2,4]
[5,3,6,1,4,2]=>[-6,-5,4,1,-3,2]
[5,3,6,2,1,4]=>[6,2,-5,-3,1,4]
[5,3,6,2,4,1]=>[-6,-5,2,4,-3,1]
[5,3,6,4,1,2]=>[-6,3,-5,4,1,2]
[5,3,6,4,2,1]=>[-4,2,-3,-6,-5,1]
[5,4,1,2,3,6]=>[5,1,4,2,3,6]
[5,4,1,2,6,3]=>[-4,6,1,2,-5,3]
[5,4,1,3,2,6]=>[-4,3,1,-5,2,6]
[5,4,1,3,6,2]=>[-4,3,1,6,-5,2]
[5,4,1,6,2,3]=>[-4,6,-5,1,2,3]
[5,4,1,6,3,2]=>[-3,-6,1,-4,-5,2]
[5,4,2,1,3,6]=>[-4,-5,-2,1,3,6]
[5,4,2,1,6,3]=>[-2,-6,-4,1,-5,3]
[5,4,2,3,1,6]=>[-4,2,3,-5,1,6]
[5,4,2,3,6,1]=>[-4,2,3,6,-5,1]
[5,4,2,6,1,3]=>[-4,-5,-2,6,1,3]
[5,4,2,6,3,1]=>[-2,-6,3,-4,-5,1]
[5,4,3,1,2,6]=>[-4,-5,3,1,2,6]
[5,4,3,1,6,2]=>[-6,-3,-4,1,-5,2]
[5,4,3,2,1,6]=>[-2,-3,-4,-5,1,6]
[5,4,3,2,6,1]=>[-2,-3,-4,6,-5,1]
[5,4,3,6,1,2]=>[-4,-5,3,6,1,2]
[5,4,3,6,2,1]=>[-6,-3,2,-4,-5,1]
[5,4,6,1,2,3]=>[5,1,4,6,2,3]
[5,4,6,1,3,2]=>[-4,6,3,1,-5,2]
[5,4,6,2,1,3]=>[6,-4,-5,2,1,3]
[5,4,6,2,3,1]=>[-4,6,2,3,-5,1]
[5,4,6,3,1,2]=>[-4,6,-5,3,1,2]
[5,4,6,3,2,1]=>[-3,2,-6,-4,-5,1]
[5,6,1,2,3,4]=>[1,2,5,6,3,4]
[5,6,1,2,4,3]=>[1,6,4,2,-5,3]
[5,6,1,3,2,4]=>[3,6,-5,1,2,4]
[5,6,1,3,4,2]=>[1,6,3,4,-5,2]
[5,6,1,4,2,3]=>[1,6,-5,4,2,3]
[5,6,1,4,3,2]=>[4,3,1,-6,-5,2]
[5,6,2,1,3,4]=>[-5,6,2,1,3,4]
[5,6,2,1,4,3]=>[-4,-6,2,1,-5,3]
[5,6,2,3,1,4]=>[2,6,-5,3,1,4]
[5,6,2,3,4,1]=>[5,6,3,4,-2,1]
[5,6,2,4,1,3]=>[2,-5,6,4,1,3]
[5,6,2,4,3,1]=>[4,2,3,-6,-5,1]
[5,6,3,1,2,4]=>[5,6,3,1,2,4]
[5,6,3,1,4,2]=>[-3,-6,4,1,-5,2]
[5,6,3,2,1,4]=>[2,-6,-5,-3,1,4]
[5,6,3,2,4,1]=>[-3,-6,2,4,-5,1]
[5,6,3,4,1,2]=>[5,6,3,4,1,2]
[5,6,3,4,2,1]=>[3,4,2,-6,-5,1]
[5,6,4,1,2,3]=>[5,6,1,4,2,3]
[5,6,4,1,3,2]=>[4,-6,3,1,-5,2]
[5,6,4,2,1,3]=>[-4,-6,-5,2,1,3]
[5,6,4,2,3,1]=>[4,-6,2,3,-5,1]
[5,6,4,3,1,2]=>[4,-6,-5,3,1,2]
[5,6,4,3,2,1]=>[2,-3,-4,-6,-5,1]
[6,1,2,3,4,5]=>[1,2,3,6,4,5]
[6,1,2,3,5,4]=>[1,2,5,3,-6,4]
[6,1,2,4,3,5]=>[1,4,-6,2,3,5]
[6,1,2,4,5,3]=>[1,2,4,5,-6,3]
[6,1,2,5,3,4]=>[1,2,-6,5,3,4]
[6,1,2,5,4,3]=>[1,4,2,-5,-6,3]
[6,1,3,2,4,5]=>[-6,3,1,2,4,5]
[6,1,3,2,5,4]=>[3,-5,1,2,-6,4]
[6,1,3,4,2,5]=>[1,3,-6,4,2,5]
[6,1,3,4,5,2]=>[1,6,4,5,-3,2]
[6,1,3,5,2,4]=>[1,-6,3,5,2,4]
[6,1,3,5,4,2]=>[1,3,4,-5,-6,2]
[6,1,4,2,3,5]=>[-6,1,4,2,3,5]
[6,1,4,2,5,3]=>[5,-4,1,2,-6,3]
[6,1,4,3,2,5]=>[3,1,-6,-4,2,5]
[6,1,4,3,5,2]=>[3,-4,1,5,-6,2]
[6,1,4,5,2,3]=>[-6,1,4,5,2,3]
[6,1,4,5,3,2]=>[1,5,3,-4,-6,2]
[6,1,5,2,3,4]=>[-6,1,2,5,3,4]
[6,1,5,2,4,3]=>[1,-5,4,2,-6,3]
[6,1,5,3,2,4]=>[3,-5,-6,1,2,4]
[6,1,5,3,4,2]=>[1,-5,3,4,-6,2]
[6,1,5,4,2,3]=>[1,-5,-6,4,2,3]
[6,1,5,4,3,2]=>[3,1,-4,-5,-6,2]
[6,2,1,3,4,5]=>[-2,6,1,3,4,5]
[6,2,1,3,5,4]=>[5,-2,1,3,-6,4]
[6,2,1,4,3,5]=>[-4,-2,-6,1,3,5]
[6,2,1,4,5,3]=>[4,-2,1,5,-6,3]
[6,2,1,5,3,4]=>[5,-2,-6,1,3,4]
[6,2,1,5,4,3]=>[-4,-2,1,-5,-6,3]
[6,2,3,1,4,5]=>[-6,2,3,1,4,5]
[6,2,3,1,5,4]=>[2,-5,3,1,-6,4]
[6,2,3,4,1,5]=>[3,6,4,-2,1,5]
[6,2,3,4,5,1]=>[3,6,4,5,-2,1]
[6,2,3,5,1,4]=>[3,6,-2,5,1,4]
[6,2,3,5,4,1]=>[5,3,4,-2,-6,1]
[6,2,4,1,3,5]=>[6,2,4,1,3,5]
[6,2,4,1,5,3]=>[2,-4,5,1,-6,3]
[6,2,4,3,1,5]=>[2,3,-6,-4,1,5]
[6,2,4,3,5,1]=>[2,-4,3,5,-6,1]
[6,2,4,5,1,3]=>[-2,6,4,5,1,3]
[6,2,4,5,3,1]=>[4,5,3,-2,-6,1]
[6,2,5,1,3,4]=>[6,2,1,5,3,4]
[6,2,5,1,4,3]=>[-5,2,4,1,-6,3]
[6,2,5,3,1,4]=>[2,-5,-6,3,1,4]
[6,2,5,3,4,1]=>[5,-2,3,4,-6,1]
[6,2,5,4,1,3]=>[-5,2,-6,4,1,3]
[6,2,5,4,3,1]=>[2,3,-4,-5,-6,1]
[6,3,1,2,4,5]=>[3,6,1,2,4,5]
[6,3,1,2,5,4]=>[5,3,1,2,-6,4]
[6,3,1,4,2,5]=>[-6,-4,1,-3,2,5]
[6,3,1,4,5,2]=>[4,-6,1,5,-3,2]
[6,3,1,5,2,4]=>[-6,5,1,-3,2,4]
[6,3,1,5,4,2]=>[-4,-5,1,-3,-6,2]
[6,3,2,1,4,5]=>[-6,-2,-3,1,4,5]
[6,3,2,1,5,4]=>[-2,-5,-3,1,-6,4]
[6,3,2,4,1,5]=>[-6,-2,4,-3,1,5]
[6,3,2,4,5,1]=>[2,-6,4,5,-3,1]
[6,3,2,5,1,4]=>[-6,-2,-3,5,1,4]
[6,3,2,5,4,1]=>[-2,-5,4,-3,-6,1]
[6,3,4,1,2,5]=>[3,6,4,1,2,5]
[6,3,4,1,5,2]=>[4,-3,5,1,-6,2]
[6,3,4,2,1,5]=>[4,2,-6,-3,1,5]
[6,3,4,2,5,1]=>[4,-3,2,5,-6,1]
[6,3,4,5,1,2]=>[3,6,4,5,1,2]
[6,3,4,5,2,1]=>[4,5,2,-6,-3,1]
[6,3,5,1,2,4]=>[3,6,1,5,2,4]
[6,3,5,1,4,2]=>[-3,5,4,1,-6,2]
[6,3,5,2,1,4]=>[2,5,-6,-3,1,4]
[6,3,5,2,4,1]=>[-3,5,2,4,-6,1]
[6,3,5,4,1,2]=>[5,3,-6,4,1,2]
[6,3,5,4,2,1]=>[4,2,-3,-5,-6,1]
[6,4,1,2,3,5]=>[1,6,4,2,3,5]
[6,4,1,2,5,3]=>[4,5,1,2,-6,3]
[6,4,1,3,2,5]=>[-4,3,-6,1,2,5]
[6,4,1,3,5,2]=>[4,3,1,5,-6,2]
[6,4,1,5,2,3]=>[-6,5,-4,1,2,3]
[6,4,1,5,3,2]=>[-3,-5,1,-6,-4,2]
[6,4,2,1,3,5]=>[-6,-4,-2,1,3,5]
[6,4,2,1,5,3]=>[-2,-5,-6,1,-4,3]
[6,4,2,3,1,5]=>[-4,2,-6,3,1,5]
[6,4,2,3,5,1]=>[4,2,3,5,-6,1]
[6,4,2,5,1,3]=>[-6,-4,-2,5,1,3]
[6,4,2,5,3,1]=>[-2,-5,3,-6,-4,1]
[6,4,3,1,2,5]=>[-6,-4,3,1,2,5]
[6,4,3,1,5,2]=>[-5,-3,-6,1,-4,2]
[6,4,3,2,1,5]=>[-2,-3,-6,-4,1,5]
[6,4,3,2,5,1]=>[-2,-3,-6,5,-4,1]
[6,4,3,5,1,2]=>[-6,-4,3,5,1,2]
[6,4,3,5,2,1]=>[-5,-3,2,-6,-4,1]
[6,4,5,1,2,3]=>[1,6,4,5,2,3]
[6,4,5,1,3,2]=>[4,5,3,1,-6,2]
[6,4,5,2,1,3]=>[2,-4,-6,5,1,3]
[6,4,5,2,3,1]=>[4,5,2,3,-6,1]
[6,4,5,3,1,2]=>[4,5,-6,3,1,2]
[6,4,5,3,2,1]=>[3,2,-5,-4,-6,1]
[6,5,1,2,3,4]=>[1,6,2,5,3,4]
[6,5,1,2,4,3]=>[5,1,4,2,-6,3]
[6,5,1,3,2,4]=>[5,3,-6,1,2,4]
[6,5,1,3,4,2]=>[5,1,3,4,-6,2]
[6,5,1,4,2,3]=>[5,1,-6,4,2,3]
[6,5,1,4,3,2]=>[-4,3,1,-5,-6,2]
[6,5,2,1,3,4]=>[-6,5,-2,1,3,4]
[6,5,2,1,4,3]=>[-4,-5,-2,1,-6,3]
[6,5,2,3,1,4]=>[5,2,-6,3,1,4]
[6,5,2,3,4,1]=>[2,5,3,4,-6,1]
[6,5,2,4,1,3]=>[5,-6,2,4,1,3]
[6,5,2,4,3,1]=>[-4,2,3,-5,-6,1]
[6,5,3,1,2,4]=>[-6,5,3,1,2,4]
[6,5,3,1,4,2]=>[-4,-5,-6,1,-3,2]
[6,5,3,2,1,4]=>[-2,-5,-6,-3,1,4]
[6,5,3,2,4,1]=>[-2,-5,-6,4,-3,1]
[6,5,3,4,1,2]=>[-6,5,3,4,1,2]
[6,5,3,4,2,1]=>[-3,4,2,-5,-6,1]
[6,5,4,1,2,3]=>[-6,5,1,4,2,3]
[6,5,4,1,3,2]=>[-4,-5,3,1,-6,2]
[6,5,4,2,1,3]=>[-4,-5,-6,-2,1,3]
[6,5,4,2,3,1]=>[-4,-5,2,3,-6,1]
[6,5,4,3,1,2]=>[-4,-5,-6,3,1,2]
[6,5,4,3,2,1]=>[-2,-3,-4,-5,-6,1]
[-6,-4,-2,1,3,5]=>[2,1,4,3,6,5]
[4,5,2,3,-6,1]=>[6,4,5,2,3,1]
[1,2,3,4,5,-6]=>[1,2,3,4,5,-6]
[1,2,3,4,6,-5]=>[1,2,3,6,4,-5]
[1,2,3,6,5,-4]=>[1,2,5,3,-6,-4]
[1,2,3,6,4,-5]=>[1,2,3,4,-6,-5]
[1,2,3,5,6,-4]=>[1,2,5,6,3,-4]
[1,2,6,4,5,-3]=>[1,2,4,5,-6,-3]
[1,2,5,4,6,-3]=>[1,4,2,6,-5,-3]
[1,2,6,3,5,-4]=>[1,2,-6,5,3,-4]
[1,2,6,3,4,-5]=>[1,2,-6,3,4,-5]
[1,2,5,3,6,-4]=>[1,2,3,6,-5,-4]
[1,2,4,6,5,-3]=>[1,4,5,2,-6,-3]
[1,2,5,6,4,-3]=>[1,6,4,2,-5,-3]
[1,2,5,6,3,-4]=>[1,6,2,3,-5,-4]
[1,2,4,5,6,-3]=>[1,4,5,6,2,-3]
[1,6,3,4,5,-2]=>[-6,3,4,5,1,-2]
[1,5,3,4,6,-2]=>[1,3,4,6,-5,-2]
[1,4,3,6,5,-2]=>[3,1,5,-4,-6,-2]
[1,5,3,6,4,-2]=>[3,1,4,-6,-5,-2]
[1,4,3,5,6,-2]=>[3,1,5,6,-4,-2]
[1,6,2,4,5,-3]=>[-6,1,4,5,2,-3]
[1,5,2,4,6,-3]=>[1,-5,4,6,2,-3]
[1,6,2,3,5,-4]=>[-6,1,2,5,3,-4]
[1,6,2,3,4,-5]=>[-6,1,2,3,4,-5]
[1,5,2,3,6,-4]=>[1,-5,2,6,3,-4]
[1,4,2,6,5,-3]=>[1,2,5,-4,-6,-3]
[1,5,2,6,4,-3]=>[1,2,4,-6,-5,-3]
[1,5,2,6,3,-4]=>[1,2,-6,3,-5,-4]
[1,4,2,5,6,-3]=>[1,2,5,6,-4,-3]
[1,3,6,4,5,-2]=>[3,1,4,5,-6,-2]
[1,3,5,4,6,-2]=>[3,4,1,6,-5,-2]
[1,4,6,3,5,-2]=>[6,1,3,5,-4,-2]
[1,5,6,3,4,-2]=>[1,6,3,4,-5,-2]
[1,4,5,3,6,-2]=>[5,3,1,6,-4,-2]
[1,4,6,2,5,-3]=>[6,1,-4,5,2,-3]
[1,5,6,2,4,-3]=>[1,6,-5,4,2,-3]
[1,5,6,2,3,-4]=>[1,6,-5,2,3,-4]
[1,4,5,2,6,-3]=>[5,1,2,6,-4,-3]
[1,3,4,6,5,-2]=>[3,4,5,1,-6,-2]
[1,3,5,6,4,-2]=>[3,6,4,1,-5,-2]
[1,4,5,6,3,-2]=>[5,6,3,1,-4,-2]
[1,4,5,6,2,-3]=>[5,6,1,2,-4,-3]
[1,3,4,5,6,-2]=>[3,4,5,6,1,-2]
[6,2,3,4,5,-1]=>[3,6,4,5,-2,-1]
[5,2,3,4,6,-1]=>[5,3,4,6,-2,-1]
[4,2,3,6,5,-1]=>[2,3,5,-4,-6,-1]
[5,2,3,6,4,-1]=>[2,3,4,-6,-5,-1]
[4,2,3,5,6,-1]=>[2,3,5,6,-4,-1]
[3,2,6,4,5,-1]=>[-2,-3,4,5,-6,-1]
[3,2,5,4,6,-1]=>[-2,4,-3,6,-5,-1]
[4,2,6,3,5,-1]=>[2,3,-6,5,-4,-1]
[5,2,6,3,4,-1]=>[2,-6,3,4,-5,-1]
[4,2,5,3,6,-1]=>[-2,3,-5,6,-4,-1]
[3,2,4,6,5,-1]=>[-2,4,5,-3,-6,-1]
[3,2,5,6,4,-1]=>[-2,6,4,-3,-5,-1]
[4,2,5,6,3,-1]=>[-2,6,3,-5,-4,-1]
[3,2,4,5,6,-1]=>[-2,4,5,6,-3,-1]
[6,1,3,4,5,-2]=>[3,6,4,5,1,-2]
[5,1,3,4,6,-2]=>[5,3,4,6,1,-2]
[4,1,3,6,5,-2]=>[-4,3,5,1,-6,-2]
[5,1,3,6,4,-2]=>[-6,3,4,1,-5,-2]
[4,1,3,5,6,-2]=>[-4,3,5,6,1,-2]
[6,1,2,4,5,-3]=>[1,6,4,5,2,-3]
[5,1,2,4,6,-3]=>[5,1,4,6,2,-3]
[6,1,2,3,5,-4]=>[1,6,2,5,3,-4]
[6,1,2,3,4,-5]=>[1,6,2,3,4,-5]
[5,1,2,3,6,-4]=>[5,1,2,6,3,-4]
[4,1,2,6,5,-3]=>[-4,1,5,2,-6,-3]
[5,1,2,6,4,-3]=>[-6,1,4,2,-5,-3]
[5,1,2,6,3,-4]=>[-6,1,2,3,-5,-4]
[4,1,2,5,6,-3]=>[-4,1,5,6,2,-3]
[3,1,6,4,5,-2]=>[1,-3,4,5,-6,-2]
[3,1,5,4,6,-2]=>[1,4,-3,6,-5,-2]
[4,1,6,3,5,-2]=>[-6,3,1,5,-4,-2]
[5,1,6,3,4,-2]=>[-6,1,3,4,-5,-2]
[4,1,5,3,6,-2]=>[1,3,-5,6,-4,-2]
[4,1,6,2,5,-3]=>[-6,1,2,5,-4,-3]
[5,1,6,2,4,-3]=>[-6,1,-5,4,2,-3]
[5,1,6,2,3,-4]=>[-6,1,-5,2,3,-4]
[4,1,5,2,6,-3]=>[1,-5,2,6,-4,-3]
[3,1,4,6,5,-2]=>[1,4,5,-3,-6,-2]
[3,1,5,6,4,-2]=>[1,6,4,-3,-5,-2]
[4,1,5,6,3,-2]=>[1,6,3,-5,-4,-2]
[4,1,5,6,2,-3]=>[1,6,-5,2,-4,-3]
[3,1,4,5,6,-2]=>[1,4,5,6,-3,-2]
[2,6,3,4,5,-1]=>[2,3,4,5,-6,-1]
[2,5,3,4,6,-1]=>[-2,3,4,6,-5,-1]
[2,4,3,6,5,-1]=>[3,-2,5,-4,-6,-1]
[2,5,3,6,4,-1]=>[3,-2,4,-6,-5,-1]
[2,4,3,5,6,-1]=>[3,-2,5,6,-4,-1]
[3,6,2,4,5,-1]=>[-2,6,4,5,-3,-1]
[3,5,2,4,6,-1]=>[-5,2,4,6,-3,-1]
[4,6,2,3,5,-1]=>[2,6,3,5,-4,-1]
[5,6,2,3,4,-1]=>[5,6,3,4,-2,-1]
[4,5,2,3,6,-1]=>[5,2,3,6,-4,-1]
[3,4,2,6,5,-1]=>[2,-4,5,-3,-6,-1]
[3,5,2,6,4,-1]=>[2,-6,4,-3,-5,-1]
[4,5,2,6,3,-1]=>[2,-6,3,-5,-4,-1]
[3,4,2,5,6,-1]=>[2,-4,5,6,-3,-1]
[3,6,1,4,5,-2]=>[1,6,4,5,-3,-2]
[3,5,1,4,6,-2]=>[-5,-3,4,6,1,-2]
[4,6,1,3,5,-2]=>[-4,6,3,5,1,-2]
[5,6,1,3,4,-2]=>[5,6,3,4,1,-2]
[4,5,1,3,6,-2]=>[5,-4,3,6,1,-2]
[4,6,1,2,5,-3]=>[-4,6,1,5,2,-3]
[5,6,1,2,4,-3]=>[5,6,1,4,2,-3]
[5,6,1,2,3,-4]=>[5,6,1,2,3,-4]
[4,5,1,2,6,-3]=>[5,-4,1,6,2,-3]
[3,4,1,6,5,-2]=>[-4,1,5,-3,-6,-2]
[3,5,1,6,4,-2]=>[-6,1,4,-3,-5,-2]
[4,5,1,6,3,-2]=>[-6,1,3,-5,-4,-2]
[4,5,1,6,2,-3]=>[-6,1,-5,2,-4,-3]
[3,4,1,5,6,-2]=>[-4,1,5,6,-3,-2]
[2,3,6,4,5,-1]=>[3,-2,4,5,-6,-1]
[2,3,5,4,6,-1]=>[3,4,-2,6,-5,-1]
[2,4,6,3,5,-1]=>[6,-2,3,5,-4,-1]
[2,5,6,3,4,-1]=>[-2,6,3,4,-5,-1]
[2,4,5,3,6,-1]=>[5,3,-2,6,-4,-1]
[3,4,6,2,5,-1]=>[6,-4,2,5,-3,-1]
[3,5,6,2,4,-1]=>[-5,6,2,4,-3,-1]
[4,5,6,2,3,-1]=>[5,6,2,3,-4,-1]
[3,4,5,2,6,-1]=>[5,2,-4,6,-3,-1]
[3,4,6,1,5,-2]=>[6,-4,-3,5,1,-2]
[3,5,6,1,4,-2]=>[-5,6,-3,4,1,-2]
[4,5,6,1,3,-2]=>[5,6,-4,3,1,-2]
[4,5,6,1,2,-3]=>[5,6,-4,1,2,-3]
[3,4,5,1,6,-2]=>[5,-4,1,6,-3,-2]
[2,3,4,6,5,-1]=>[3,4,5,-2,-6,-1]
[2,3,5,6,4,-1]=>[3,6,4,-2,-5,-1]
[2,4,5,6,3,-1]=>[5,6,3,-2,-4,-1]
[3,4,5,6,2,-1]=>[5,6,2,-4,-3,-1]
[3,4,5,6,1,-2]=>[5,6,-4,1,-3,-2]
[2,3,4,5,6,-1]=>[3,4,5,6,-2,-1]
[-4,-2,1,3,5,6]=>[2,1,4,3,5,6]
[-2,-5,1,3,4,6]=>[2,5,1,3,4,6]
[-6,-2,1,3,4,5]=>[2,1,3,4,6,5]
[-2,1,3,4,5,6]=>[2,1,3,4,5,6]
[5,-4,1,2,3,6]=>[1,4,2,5,3,6]
[5,6,-4,1,2,3]=>[1,4,5,2,6,3]
[-4,6,1,2,3,5]=>[4,1,2,6,3,5]
[-4,1,2,3,5,6]=>[1,2,4,3,5,6]
[-6,1,-5,2,3,4]=>[1,5,6,2,3,4]
[1,6,-5,2,3,4]=>[5,1,2,3,6,4]
[1,-5,2,3,4,6]=>[1,5,2,3,4,6]
[1,2,-6,3,4,5]=>[6,1,2,3,4,5]
[-6,1,2,3,4,5]=>[1,2,3,4,6,5]
[-4,3,1,2,5,6]=>[4,3,1,2,5,6]
[-2,1,-6,3,4,5]=>[6,2,1,3,4,5]
[3,1,-6,2,4,5]=>[6,3,1,2,4,5]
[-4,3,5,1,2,6]=>[4,3,5,1,2,6]
[-6,-4,3,1,2,5]=>[4,3,6,1,2,5]
[-6,5,3,1,2,4]=>[6,5,3,1,2,4]
[-6,5,3,4,1,2]=>[6,5,3,4,1,2]
[3,5,6,4,1,-2]=>[4,-6,1,-3,-5,-2]
[4,5,3,6,1,-2]=>[6,-3,-5,1,-4,-2]
[4,5,6,3,1,-2]=>[3,-6,1,-5,-4,-2]
[4,6,3,1,5,-2]=>[-3,-6,1,5,-4,-2]
[5,1,6,4,3,-2]=>[1,3,-4,-6,-5,-2]
[5,6,3,4,1,-2]=>[3,4,-6,1,-5,-2]
[1,5,6,4,2,-3]=>[4,1,2,-6,-5,-3]
[4,2,5,6,1,-3]=>[5,6,-2,1,-4,-3]
[4,2,6,1,5,-3]=>[6,-2,-4,5,1,-3]
[4,5,2,6,1,-3]=>[6,2,-5,1,-4,-3]
[4,6,2,1,5,-3]=>[2,-6,1,5,-4,-3]
[5,2,1,6,4,-3]=>[-2,1,4,-6,-5,-3]
[5,2,6,4,1,-3]=>[4,-2,1,-6,-5,-3]
[5,6,2,4,1,-3]=>[-6,4,2,1,-5,-3]
[6,2,1,4,5,-3]=>[-6,-2,4,5,1,-3]
[1,5,3,6,2,-4]=>[1,6,-3,2,-5,-4]
[1,5,6,3,2,-4]=>[1,3,2,-6,-5,-4]
[1,6,3,2,5,-4]=>[1,-3,-6,5,2,-4]
[5,2,3,6,1,-4]=>[2,6,3,1,-5,-4]
[5,2,6,3,1,-4]=>[-2,3,1,-6,-5,-4]
[5,6,3,2,1,-4]=>[2,-3,1,-6,-5,-4]
[6,2,3,1,5,-4]=>[2,3,-6,5,1,-4]
[1,2,6,4,3,-5]=>[1,2,-4,3,-6,-5]
[1,6,3,4,2,-5]=>[-3,1,4,2,-6,-5]
[6,2,3,4,1,-5]=>[-6,3,4,-2,1,-5]
[2,3,4,5,-1,6]=>[3,4,5,-2,-1,6]
[2,3,4,-1,5,6]=>[3,4,-2,-1,5,6]
[2,3,4,-1,6,5]=>[3,4,-2,-1,-6,5]
[2,3,5,4,-1,6]=>[3,4,-2,-5,-1,6]
[2,3,-1,4,5,6]=>[3,-2,-1,4,5,6]
[2,3,-1,4,6,5]=>[3,-2,-1,4,-6,5]
[2,3,6,5,4,-1]=>[3,4,-2,-5,-6,-1]
[2,3,-1,5,4,6]=>[3,-2,-1,-5,4,6]
[2,3,-1,6,4,5]=>[3,-2,-6,-1,4,5]
[2,3,-1,6,5,4]=>[3,-2,-1,-5,-6,4]
[2,4,3,5,-1,6]=>[3,-2,5,-4,-1,6]
[2,4,3,-1,5,6]=>[3,-2,-4,-1,5,6]
[2,4,3,-1,6,5]=>[3,-2,-4,-1,-6,5]
[2,5,3,4,-1,6]=>[-2,3,4,-5,-1,6]
[2,-1,3,4,5,6]=>[-2,-1,3,4,5,6]
[2,-1,3,4,6,5]=>[-2,-1,3,4,-6,5]
[2,6,3,5,4,-1]=>[-2,3,4,-5,-6,-1]
[2,-1,3,5,4,6]=>[-2,-1,3,-5,4,6]
[2,-1,3,6,4,5]=>[-2,-1,-6,3,4,5]
[2,-1,3,6,5,4]=>[-2,-1,3,-5,-6,4]
[2,5,4,3,6,-1]=>[3,-2,-4,6,-5,-1]
[2,5,4,3,-1,6]=>[3,-2,-4,-5,-1,6]
[2,6,4,3,5,-1]=>[3,-2,-6,5,-4,-1]
[2,-1,4,3,5,6]=>[-2,-1,-4,3,5,6]
[2,-1,4,3,6,5]=>[-2,-1,-4,3,-6,5]
[2,6,5,3,4,-1]=>[-2,-5,3,4,-6,-1]
[2,-1,5,3,4,6]=>[-2,-5,-1,3,4,6]
[2,-1,6,3,4,5]=>[-6,-2,-1,3,4,5]
[2,-1,6,3,5,4]=>[-2,-5,-1,3,-6,4]
[2,6,5,4,3,-1]=>[3,-2,-4,-5,-6,-1]
[2,-1,5,4,3,6]=>[-2,-1,-4,-5,3,6]
[2,-1,6,4,3,5]=>[-2,-1,-6,-4,3,5]
[2,-1,6,5,3,4]=>[-2,-5,-6,-1,3,4]
[2,-1,6,5,4,3]=>[-2,-1,-4,-5,-6,3]
[3,2,4,5,-1,6]=>[-2,4,5,-3,-1,6]
[3,2,4,-1,5,6]=>[-2,4,-3,-1,5,6]
[3,2,4,-1,6,5]=>[-2,4,-3,-1,-6,5]
[3,2,5,4,-1,6]=>[-2,4,-3,-5,-1,6]
[3,2,-1,4,5,6]=>[-2,-3,-1,4,5,6]
[3,2,-1,4,6,5]=>[-2,-3,-1,4,-6,5]
[3,2,6,5,4,-1]=>[-2,4,-3,-5,-6,-1]
[3,2,-1,5,4,6]=>[-2,-3,-1,-5,4,6]
[3,2,-1,6,4,5]=>[-2,-3,-6,-1,4,5]
[3,2,-1,6,5,4]=>[-2,-3,-1,-5,-6,4]
[4,2,3,5,-1,6]=>[2,3,5,-4,-1,6]
[4,2,3,-1,5,6]=>[2,3,-4,-1,5,6]
[4,2,3,-1,6,5]=>[2,3,-4,-1,-6,5]
[5,2,3,4,-1,6]=>[5,3,4,-2,-1,6]
[-1,2,3,4,5,6]=>[-1,2,3,4,5,6]
[-1,2,3,4,6,5]=>[-1,2,3,4,-6,5]
[6,2,3,5,4,-1]=>[5,3,4,-2,-6,-1]
[-1,2,3,5,4,6]=>[-1,2,3,-5,4,6]
[-1,2,3,6,4,5]=>[-1,2,-6,3,4,5]
[-1,2,3,6,5,4]=>[-1,2,3,-5,-6,4]
[5,2,4,3,6,-1]=>[2,3,-4,6,-5,-1]
[5,2,4,3,-1,6]=>[2,3,-4,-5,-1,6]
[6,2,4,3,5,-1]=>[2,-4,3,5,-6,-1]
[-1,2,4,3,5,6]=>[-1,2,-4,3,5,6]
[-1,2,4,3,6,5]=>[-1,2,-4,3,-6,5]
[6,2,5,3,4,-1]=>[5,-2,3,4,-6,-1]
[-1,2,5,3,4,6]=>[-1,-5,2,3,4,6]
[-1,2,6,3,4,5]=>[-6,-1,2,3,4,5]
[-1,2,6,3,5,4]=>[-1,-5,2,3,-6,4]
[6,2,5,4,3,-1]=>[2,3,-4,-5,-6,-1]
[-1,2,5,4,3,6]=>[-1,2,-4,-5,3,6]
[-1,2,6,4,3,5]=>[-1,2,-6,-4,3,5]
[-1,2,6,5,3,4]=>[-1,-5,-6,2,3,4]
[-1,2,6,5,4,3]=>[-1,2,-4,-5,-6,3]
[4,3,2,5,6,-1]=>[-2,-3,5,6,-4,-1]
[4,3,2,5,-1,6]=>[-2,-3,5,-4,-1,6]
[4,3,2,6,5,-1]=>[-2,-3,5,-4,-6,-1]
[4,3,2,-1,5,6]=>[-2,-3,-4,-1,5,6]
[4,3,2,-1,6,5]=>[-2,-3,-4,-1,-6,5]
[5,3,2,4,6,-1]=>[-2,-5,4,6,-3,-1]
[5,3,2,4,-1,6]=>[-2,-5,4,-3,-1,6]
[6,3,2,4,5,-1]=>[2,-6,4,5,-3,-1]
[-1,3,2,4,5,6]=>[-1,-3,2,4,5,6]
[-1,3,2,4,6,5]=>[-1,-3,2,4,-6,5]
[6,3,2,5,4,-1]=>[-2,-5,4,-3,-6,-1]
[-1,3,2,5,4,6]=>[-1,-3,2,-5,4,6]
[-1,3,2,6,4,5]=>[-1,-3,-6,2,4,5]
[-1,3,2,6,5,4]=>[-1,-3,2,-5,-6,4]
[5,4,2,3,6,-1]=>[-4,2,3,6,-5,-1]
[5,4,2,3,-1,6]=>[-4,2,3,-5,-1,6]
[6,4,2,3,5,-1]=>[4,2,3,5,-6,-1]
[-1,4,2,3,5,6]=>[-4,-1,2,3,5,6]
[-1,4,2,3,6,5]=>[-4,-1,2,3,-6,5]
[6,5,2,3,4,-1]=>[2,5,3,4,-6,-1]
[-1,5,2,3,4,6]=>[5,-1,2,3,4,6]
[-1,6,2,3,4,5]=>[-1,6,2,3,4,5]
[-1,6,2,3,5,4]=>[5,-1,2,3,-6,4]
[6,5,2,4,3,-1]=>[-4,2,3,-5,-6,-1]
[-1,5,2,4,3,6]=>[-4,-1,2,-5,3,6]
[-1,6,2,4,3,5]=>[-4,-1,-6,2,3,5]
[-1,6,2,5,3,4]=>[5,-1,-6,2,3,4]
[-1,6,2,5,4,3]=>[-4,-1,2,-5,-6,3]
[5,4,3,2,6,-1]=>[-2,-3,-4,6,-5,-1]
[5,4,3,2,-1,6]=>[-2,-3,-4,-5,-1,6]
[6,4,3,2,5,-1]=>[-2,-3,-6,5,-4,-1]
[-1,4,3,2,5,6]=>[-1,-3,-4,2,5,6]
[-1,4,3,2,6,5]=>[-1,-3,-4,2,-6,5]
[6,5,3,2,4,-1]=>[-2,-5,-6,4,-3,-1]
[-1,5,3,2,4,6]=>[-1,-5,-3,2,4,6]
[-1,6,3,2,4,5]=>[-6,-1,-3,2,4,5]
[-1,6,3,2,5,4]=>[-1,-5,-3,2,-6,4]
[6,5,4,2,3,-1]=>[-4,-5,2,3,-6,-1]
[-1,5,4,2,3,6]=>[-4,-5,-1,2,3,6]
[-1,6,4,2,3,5]=>[-6,-4,-1,2,3,5]
[-1,6,5,2,3,4]=>[-6,5,-1,2,3,4]
[-1,6,5,2,4,3]=>[-4,-5,-1,2,-6,3]
[6,5,4,3,2,-1]=>[-2,-3,-4,-5,-6,-1]
[-1,5,4,3,2,6]=>[-1,-3,-4,-5,2,6]
[-1,6,4,3,2,5]=>[-1,-3,-6,-4,2,5]
[-1,6,5,3,2,4]=>[-1,-5,-6,-3,2,4]
[-1,6,5,4,2,3]=>[-4,-5,-6,-1,2,3]
[-1,6,5,4,3,2]=>[-1,-3,-4,-5,-6,2]
[3,4,5,6,-1,2]=>[3,4,5,6,-1,2]
[3,4,5,-1,2,6]=>[3,4,5,-1,2,6]
[3,4,6,2,-1,5]=>[2,6,-4,-3,-1,5]
[3,4,6,-1,5,2]=>[6,-4,5,-1,-3,2]
[3,4,-1,2,5,6]=>[3,4,-1,2,5,6]
[3,5,2,6,-1,4]=>[-5,2,-3,6,-1,4]
[3,5,2,-1,4,6]=>[-5,2,-3,-1,4,6]
[3,5,6,4,-1,2]=>[3,6,-5,4,-1,2]
[3,5,6,-1,4,2]=>[-5,6,4,-1,-3,2]
[3,5,-1,4,2,6]=>[-5,4,-1,-3,2,6]
[3,6,2,4,-1,5]=>[6,2,4,-3,-1,5]
[3,6,2,-1,5,4]=>[-5,2,-3,-1,-6,4]
[3,6,-1,4,5,2]=>[-6,-1,4,5,-3,2]
[3,-1,2,4,5,6]=>[3,-1,2,4,5,6]
[4,2,5,6,-1,3]=>[-4,-2,5,6,-1,3]
[4,2,5,-1,3,6]=>[-4,-2,5,-1,3,6]
[4,2,6,3,-1,5]=>[-2,-6,3,-4,-1,5]
[4,2,6,-1,5,3]=>[-2,-6,5,-1,-4,3]
[4,2,-1,3,5,6]=>[-4,-2,-1,3,5,6]
[4,5,3,6,-1,2]=>[5,-4,3,6,-1,2]
[4,5,3,-1,2,6]=>[5,-4,3,-1,2,6]
[4,5,6,3,-1,2]=>[5,6,-4,3,-1,2]
[4,5,6,-1,2,3]=>[-1,4,5,6,2,3]
[4,5,-1,3,2,6]=>[5,3,-1,-4,2,6]
[4,6,3,2,-1,5]=>[2,-6,-3,-4,-1,5]
[4,6,3,-1,5,2]=>[-3,5,-6,-1,-4,2]
[4,6,-1,3,5,2]=>[6,-1,3,5,-4,2]
[4,-1,3,2,5,6]=>[3,-1,-4,2,5,6]
[5,2,3,6,-1,4]=>[2,-5,3,6,-1,4]
[5,2,3,-1,4,6]=>[2,-5,3,-1,4,6]
[5,2,6,4,-1,3]=>[-6,-2,-5,4,-1,3]
[5,2,6,-1,4,3]=>[-6,-2,4,-1,-5,3]
[5,2,-1,4,3,6]=>[-4,-2,-1,-5,3,6]
[5,6,3,4,-1,2]=>[5,6,3,4,-1,2]
[5,6,3,-1,4,2]=>[-3,-6,4,-1,-5,2]
[5,6,-1,4,3,2]=>[4,3,-1,-6,-5,2]
[5,-1,3,4,2,6]=>[-1,3,4,-5,2,6]
[6,2,3,4,-1,5]=>[3,6,4,-2,-1,5]
[6,2,3,-1,5,4]=>[2,-5,3,-1,-6,4]
[6,2,-1,4,5,3]=>[4,-2,-1,5,-6,3]
[6,-1,3,4,5,2]=>[-1,6,4,5,-3,2]
[-2,-3,-4,-5,-6,1]=>[-3,-4,-5,-6,2,1]
[2,-3,-4,-6,-5,1]=>[3,-4,-5,2,6,1]
[3,2,-5,-4,-6,1]=>[-4,3,2,-6,5,1]
[-3,2,-6,-4,-5,1]=>[4,3,6,-5,2,1]
[3,2,-6,-5,-4,1]=>[-4,3,2,5,6,1]
[-3,4,2,-5,-6,1]=>[-3,-5,4,-6,2,1]
[3,4,2,-6,-5,1]=>[3,-5,4,2,6,1]
[-5,-3,2,-6,-4,1]=>[4,3,6,2,5,1]
[4,5,2,-6,-3,1]=>[6,-3,4,2,5,1]
[-6,-3,2,-4,-5,1]=>[-4,6,3,-5,2,1]
[6,-3,2,-5,-4,1]=>[3,-4,5,2,6,1]
[4,6,2,-3,-5,1]=>[6,-4,-3,-5,2,1]
[-5,6,2,-3,-4,1]=>[3,-6,-5,-4,2,1]
[5,6,2,-4,-3,1]=>[-4,5,-3,2,6,1]
[-4,-5,2,3,-6,1]=>[6,5,2,4,3,1]
[4,-6,2,3,-5,1]=>[5,6,2,4,3,1]
[-4,6,2,3,-5,1]=>[4,-5,6,2,3,1]
[5,6,2,3,-4,1]=>[5,-4,6,2,3,1]
[-2,-5,-6,4,-3,1]=>[-5,-6,2,-3,4,1]
[-3,-6,2,4,-5,1]=>[-5,6,3,2,4,1]
[2,5,3,4,-6,1]=>[-6,5,2,3,4,1]
[5,6,3,4,-2,1]=>[5,6,3,-2,4,1]
[-2,-3,-6,5,-4,1]=>[-3,-6,2,-4,5,1]
[4,-3,2,5,-6,1]=>[-6,3,4,2,5,1]
[4,2,3,5,-6,1]=>[6,4,2,3,5,1]
[2,-6,4,5,-3,1]=>[-3,6,4,5,2,1]
[3,6,4,5,-2,1]=>[-6,3,4,-2,5,1]
[-2,-3,-4,6,-5,1]=>[-3,-4,2,-5,6,1]
[2,-3,-5,6,-4,1]=>[3,2,-5,-4,6,1]
[4,2,-3,6,-5,1]=>[4,-3,2,-5,6,1]
[-5,2,-3,6,-4,1]=>[5,-3,2,-4,6,1]
[5,2,-4,6,-3,1]=>[5,6,-4,-3,2,1]
[-4,2,3,6,-5,1]=>[5,2,4,6,3,1]
[5,2,3,6,-4,1]=>[-4,5,2,6,3,1]
[-2,-5,4,6,-3,1]=>[-5,2,4,-3,6,1]
[5,3,4,6,-2,1]=>[5,3,4,-2,6,1]
[-2,-3,5,6,-4,1]=>[-3,2,5,-4,6,1]
[2,-4,5,6,-3,1]=>[4,5,2,-3,6,1]
[2,3,5,6,-4,1]=>[4,2,5,6,3,1]
[-2,4,5,6,-3,1]=>[2,4,5,-3,6,1]
[3,4,5,6,-2,1]=>[3,4,5,-2,6,1]
[-4,-5,-6,3,1,2]=>[-5,-6,4,3,1,2]
[4,-6,-5,3,1,2]=>[5,4,6,3,1,2]
[4,5,-6,3,1,2]=>[6,4,5,3,1,2]
[-4,6,-5,3,1,2]=>[4,-5,6,3,1,2]
[5,6,-4,3,1,2]=>[5,-4,6,3,1,2]
[-6,-4,3,5,1,2]=>[4,3,6,5,1,2]
[-4,-5,3,6,1,2]=>[-5,4,3,6,1,2]
[5,-4,3,6,1,2]=>[-4,5,3,6,1,2]
[-4,3,5,6,1,2]=>[4,3,5,6,1,2]
[-4,-5,-6,-2,1,3]=>[6,-2,1,5,4,3]
[-4,-6,-5,2,1,3]=>[4,2,-5,6,1,3]
[2,-4,-6,5,1,3]=>[-2,-6,-4,5,1,3]
[6,-4,-5,2,1,3]=>[-6,4,-5,2,1,3]
[2,-5,-4,6,1,3]=>[-2,5,-4,6,1,3]
[-6,5,1,4,2,3]=>[1,5,-6,4,2,3]
[-2,-5,-6,-3,1,4]=>[6,-3,2,1,5,4]
[2,-6,-5,-3,1,4]=>[3,2,1,5,6,4]
[5,2,-6,3,1,4]=>[-5,2,-6,3,1,4]
[2,6,-5,3,1,4]=>[-2,6,-5,3,1,4]
[-6,5,-2,1,3,4]=>[-2,1,6,3,5,4]
[-5,6,2,1,3,4]=>[-5,6,-2,1,3,4]
[-2,-3,-6,-4,1,5]=>[-3,-4,2,1,6,5]
[4,2,-6,-3,1,5]=>[-3,2,6,4,1,5]
[-4,2,-6,3,1,5]=>[4,-2,-6,3,1,5]
[-6,-2,4,-3,1,5]=>[2,-3,6,4,1,5]
[3,6,4,-2,1,5]=>[-6,3,-2,4,1,5]
[-6,-2,-3,1,4,5]=>[-2,-3,1,4,6,5]
[-6,2,3,1,4,5]=>[3,-2,6,1,4,5]
[-2,6,1,3,4,5]=>[-2,1,6,3,4,5]
[-2,-3,-4,-5,1,6]=>[-3,-4,-5,2,1,6]
[2,-3,-5,-4,1,6]=>[3,-4,2,5,1,6]
[4,2,-3,-5,1,6]=>[4,-3,-5,2,1,6]
[-5,2,-3,-4,1,6]=>[5,-3,-4,2,1,6]
[5,2,-4,-3,1,6]=>[4,-3,2,5,1,6]
[-4,2,3,-5,1,6]=>[5,2,4,3,1,6]
[5,2,3,-4,1,6]=>[-4,5,2,3,1,6]
[-2,-5,4,-3,1,6]=>[-5,2,-3,4,1,6]
[5,3,4,-2,1,6]=>[5,3,-2,4,1,6]
[-2,-3,5,-4,1,6]=>[-3,2,-4,5,1,6]
[2,-4,5,-3,1,6]=>[4,5,-3,2,1,6]
[2,3,5,-4,1,6]=>[4,2,5,3,1,6]
[-2,4,5,-3,1,6]=>[2,4,-3,5,1,6]
[3,4,5,-2,1,6]=>[3,4,-2,5,1,6]
[-4,-5,3,1,2,6]=>[-5,4,3,1,2,6]
[5,-4,3,1,2,6]=>[-4,5,3,1,2,6]
[-4,-5,-2,1,3,6]=>[-2,1,5,4,3,6]
[-5,-4,2,1,3,6]=>[2,-4,5,1,3,6]
[-2,-5,-3,1,4,6]=>[-3,2,1,5,4,6]
[2,-5,3,1,4,6]=>[-2,-5,3,1,4,6]
[5,-2,1,3,4,6]=>[-2,1,3,5,4,6]
[-2,-3,-4,1,5,6]=>[-3,-4,2,1,5,6]
[2,-4,-3,1,5,6]=>[3,2,4,1,5,6]
[2,3,-4,1,5,6]=>[4,2,3,1,5,6]
[-2,4,-3,1,5,6]=>[2,-3,4,1,5,6]
[3,4,-2,1,5,6]=>[3,-2,4,1,5,6]
[-2,-3,1,4,5,6]=>[-3,2,1,4,5,6]
[3,-2,1,4,5,6]=>[-2,3,1,4,5,6]
[-6,1,4,2,3,5]=>[6,1,4,2,3,5]
[3,1,2,6,5,-4]=>[3,1,5,2,-6,-4]
[3,1,6,2,4,-5]=>[-6,1,-3,2,4,-5]
[3,1,5,2,4,-6]=>[5,1,-3,2,4,-6]
[4,5,1,2,3,-6]=>[1,4,5,2,3,-6]
[4,6,1,2,3,-5]=>[1,6,4,2,3,-5]
[1,6,5,3,4,-2]=>[1,-5,3,4,-6,-2]
[6,1,5,2,4,-3]=>[5,1,-6,4,2,-3]
[6,5,1,2,3,-4]=>[-6,5,1,2,3,-4]
[6,4,1,2,3,-5]=>[-6,1,4,2,3,-5]
[5,4,1,2,3,-6]=>[5,1,4,2,3,-6]
[5,4,3,2,1,-6]=>[-2,-3,-4,-5,1,-6]
[5,4,3,1,2,-6]=>[-4,-5,3,1,2,-6]
[5,4,1,3,2,-6]=>[-4,3,1,-5,2,-6]
[5,4,2,1,3,-6]=>[-4,-5,-2,1,3,-6]
[5,1,4,3,2,-6]=>[3,1,-4,-5,2,-6]
[5,1,4,2,3,-6]=>[1,-5,4,2,3,-6]
[5,2,1,4,3,-6]=>[-4,-2,1,-5,3,-6]
[5,1,2,4,3,-6]=>[1,4,2,-5,3,-6]
[5,3,2,1,4,-6]=>[-2,-5,-3,1,4,-6]
[5,3,1,2,4,-6]=>[5,3,1,2,4,-6]
[5,1,3,2,4,-6]=>[3,-5,1,2,4,-6]
[5,2,1,3,4,-6]=>[5,-2,1,3,4,-6]
[5,1,2,3,4,-6]=>[1,2,5,3,4,-6]
[1,5,4,3,2,-6]=>[1,-3,-4,-5,2,-6]
[1,5,4,2,3,-6]=>[-4,-5,1,2,3,-6]
[1,5,2,4,3,-6]=>[-4,1,2,-5,3,-6]
[1,5,3,2,4,-6]=>[1,-5,-3,2,4,-6]
[1,5,2,3,4,-6]=>[5,1,2,3,4,-6]
[2,1,5,4,3,-6]=>[-2,1,-4,-5,3,-6]
[2,1,5,3,4,-6]=>[-2,-5,1,3,4,-6]
[1,2,5,4,3,-6]=>[1,2,-4,-5,3,-6]
[1,2,5,3,4,-6]=>[1,-5,2,3,4,-6]
[3,2,1,5,4,-6]=>[-2,-3,1,-5,4,-6]
[3,1,2,5,4,-6]=>[3,1,2,-5,4,-6]
[1,3,2,5,4,-6]=>[1,-3,2,-5,4,-6]
[2,1,3,5,4,-6]=>[-2,1,3,-5,4,-6]
[1,2,3,5,4,-6]=>[1,2,3,-5,4,-6]
[4,3,2,1,5,-6]=>[-2,-3,-4,1,5,-6]
[4,3,1,2,5,-6]=>[-4,3,1,2,5,-6]
[4,1,3,2,5,-6]=>[3,1,-4,2,5,-6]
[4,2,1,3,5,-6]=>[-4,-2,1,3,5,-6]
[4,1,2,3,5,-6]=>[1,4,2,3,5,-6]
[1,4,3,2,5,-6]=>[1,-3,-4,2,5,-6]
[1,4,2,3,5,-6]=>[-4,1,2,3,5,-6]
[2,1,4,3,5,-6]=>[-2,1,-4,3,5,-6]
[1,2,4,3,5,-6]=>[1,2,-4,3,5,-6]
[3,2,1,4,5,-6]=>[-2,-3,1,4,5,-6]
[3,1,2,4,5,-6]=>[3,1,2,4,5,-6]
[1,3,2,4,5,-6]=>[1,-3,2,4,5,-6]
[2,1,3,4,5,-6]=>[-2,1,3,4,5,-6]
[1,6,5,4,3,-2]=>[3,1,-4,-5,-6,-2]
[1,6,3,5,4,-2]=>[1,3,4,-5,-6,-2]
[1,6,4,3,5,-2]=>[3,1,-6,5,-4,-2]
[2,1,6,5,4,-3]=>[-2,4,1,-5,-6,-3]
[2,1,6,4,5,-3]=>[-2,1,4,5,-6,-3]
[1,2,6,5,4,-3]=>[1,4,2,-5,-6,-3]
[1,3,6,5,4,-2]=>[3,4,1,-5,-6,-2]
[3,2,1,6,5,-4]=>[-2,-3,5,1,-6,-4]
[1,3,2,6,5,-4]=>[1,-3,5,2,-6,-4]
[2,1,3,6,5,-4]=>[-2,1,5,3,-6,-4]
[2,1,4,6,5,-3]=>[-2,4,5,1,-6,-3]
[4,3,2,1,6,-5]=>[-2,-3,-4,6,1,-5]
[4,3,1,2,6,-5]=>[-4,3,1,6,2,-5]
[4,1,3,2,6,-5]=>[3,1,-4,6,2,-5]
[4,2,1,3,6,-5]=>[-4,-2,1,6,3,-5]
[4,1,2,3,6,-5]=>[1,4,2,6,3,-5]
[1,4,3,2,6,-5]=>[1,-3,-4,6,2,-5]
[1,4,2,3,6,-5]=>[-4,1,2,6,3,-5]
[2,1,4,3,6,-5]=>[-2,1,-4,6,3,-5]
[1,2,4,3,6,-5]=>[1,2,-4,6,3,-5]
[3,2,1,4,6,-5]=>[-2,-3,1,6,4,-5]
[3,1,2,4,6,-5]=>[3,1,2,6,4,-5]
[1,3,2,4,6,-5]=>[1,-3,2,6,4,-5]
[2,1,3,4,6,-5]=>[-2,1,3,6,4,-5]
[1,5,4,3,6,-2]=>[3,1,-4,6,-5,-2]
[2,1,5,4,6,-3]=>[-2,4,1,6,-5,-3]
[3,2,1,5,6,-4]=>[-2,-3,5,6,1,-4]
[3,1,2,5,6,-4]=>[3,1,5,6,2,-4]
[1,3,2,5,6,-4]=>[1,-3,5,6,2,-4]
[2,1,3,5,6,-4]=>[-2,1,5,6,3,-4]
[2,1,4,5,6,-3]=>[-2,4,5,6,1,-3]
[5,6,-1,2,3,4]=>[-1,2,5,6,3,4]
[-2,1,-4,3,-6,5]=>[2,-4,1,-6,3,5]
[-2,4,1,3,-6,5]=>[4,-2,1,-6,3,5]
[-2,1,-4,6,3,5]=>[2,-6,1,-4,3,5]
[-2,6,1,-4,3,5]=>[6,-2,-4,1,3,5]
[-2,4,1,6,3,5]=>[6,-2,1,-4,3,5]
[-2,1,-4,3,5,6]=>[2,-4,1,3,5,6]
[-2,4,1,3,5,6]=>[4,-2,1,3,5,6]
[-2,1,5,-4,3,6]=>[2,1,-4,5,3,6]
[5,-2,1,-4,3,6]=>[-2,5,-4,1,3,6]
[-2,4,5,1,3,6]=>[4,-2,5,1,3,6]
[-2,1,5,6,-4,3]=>[2,1,5,-4,6,3]
[5,-2,1,6,-4,3]=>[-2,5,1,-4,6,3]
[5,6,-2,1,-4,3]=>[5,-2,6,-4,1,3]
[-2,4,5,6,1,3]=>[4,-2,5,6,1,3]
[-2,1,-6,3,-5,4]=>[2,-6,1,-5,3,4]
[-2,6,1,3,-5,4]=>[6,-2,1,-5,3,4]
[-2,-5,1,6,3,4]=>[6,2,-5,1,3,4]
[-2,6,-5,1,3,4]=>[5,2,1,3,6,4]
[-2,1,5,6,3,4]=>[2,-5,1,6,3,4]
[-2,1,5,3,4,6]=>[2,-5,1,3,4,6]
[-2,1,3,-5,4,6]=>[2,1,-5,3,4,6]
[3,-2,1,-5,4,6]=>[-2,3,-5,1,4,6]
[3,-2,5,1,4,6]=>[5,-3,-2,1,4,6]
[-2,1,3,6,-5,4]=>[2,1,3,-5,6,4]
[3,-2,1,6,-5,4]=>[-2,3,1,-5,6,4]
[3,6,-2,1,-5,4]=>[3,-2,6,-5,1,4]
[3,-2,5,6,1,4]=>[5,-3,-2,6,1,4]
[-2,1,3,6,4,5]=>[2,1,-6,3,4,5]
[3,-2,-6,1,4,5]=>[6,-2,3,1,4,5]
[3,-2,1,6,4,5]=>[-2,3,-6,1,4,5]
[-2,1,3,4,-6,5]=>[2,1,3,-6,4,5]
[3,-2,1,4,-6,5]=>[-2,3,1,-6,4,5]
[3,4,-2,1,-6,5]=>[3,-2,4,-6,1,5]
[3,4,-2,6,1,5]=>[-4,6,-3,-2,1,5]
[-4,1,-3,2,-6,5]=>[4,-3,1,-6,2,5]
[3,4,1,2,-6,5]=>[3,4,1,-6,2,5]
[-4,1,-3,6,2,5]=>[6,1,-4,-3,2,5]
[-4,6,1,-3,2,5]=>[6,-4,-3,1,2,5]
[-4,1,-3,2,5,6]=>[4,-3,1,2,5,6]
[-4,1,5,-3,2,6]=>[4,1,-3,5,2,6]
[5,-4,1,-3,2,6]=>[-4,5,-3,1,2,6]
[-4,1,5,6,-3,2]=>[4,1,5,-3,6,2]
[5,-4,1,6,-3,2]=>[-4,5,1,-3,6,2]
[5,6,-4,1,-3,2]=>[5,-4,6,-3,1,2]
[-6,1,-3,2,-5,4]=>[6,-3,1,-5,2,4]
[3,6,1,2,-5,4]=>[3,6,1,-5,2,4]
[5,1,-3,6,2,4]=>[-6,-5,1,-3,2,4]
[5,6,1,-3,2,4]=>[5,6,-3,1,2,4]
[5,1,-3,2,4,6]=>[5,-3,1,2,4,6]
[3,1,2,-5,4,6]=>[3,1,-5,2,4,6]
[1,-3,2,-5,4,6]=>[-3,1,-5,2,4,6]
[1,-3,5,2,4,6]=>[-5,1,-3,2,4,6]
[3,1,2,6,-5,4]=>[3,1,2,-5,6,4]
[1,-3,2,6,-5,4]=>[-3,1,2,-5,6,4]
[1,6,-3,2,-5,4]=>[1,-3,6,-5,2,4]
[1,-3,5,6,2,4]=>[-5,1,-3,6,2,4]
[1,6,-3,2,4,5]=>[1,-3,2,4,6,5]
[1,-3,-6,2,4,5]=>[6,-3,1,2,4,5]
[1,-3,2,6,4,5]=>[-3,1,-6,2,4,5]
[3,1,2,4,-6,5]=>[3,1,2,-6,4,5]
[1,-3,2,4,-6,5]=>[-3,1,2,-6,4,5]
[1,4,-3,2,-6,5]=>[1,-3,4,-6,2,5]
[1,4,-3,6,2,5]=>[1,6,-4,-3,2,5]
[1,-3,2,4,5,6]=>[-3,1,2,4,5,6]
[1,4,-3,2,5,6]=>[1,-3,4,2,5,6]
[1,4,5,-3,2,6]=>[1,4,-3,5,2,6]
[1,4,5,6,-3,2]=>[1,4,5,-3,6,2]
[-6,1,-5,2,-4,3]=>[6,-5,1,-4,2,3]
[5,6,1,2,-4,3]=>[5,6,1,-4,2,3]
[5,-4,1,6,2,3]=>[5,1,-4,6,2,3]
[5,1,2,-4,3,6]=>[5,1,-4,2,3,6]
[1,-5,2,-4,3,6]=>[-5,1,-4,2,3,6]
[-4,1,5,2,3,6]=>[1,-4,5,2,3,6]
[5,1,2,6,-4,3]=>[5,1,2,-4,6,3]
[1,-5,2,6,-4,3]=>[-5,1,2,-4,6,3]
[1,6,-5,2,-4,3]=>[1,-5,6,-4,2,3]
[-4,1,5,6,2,3]=>[1,-4,5,6,2,3]
[1,6,2,-4,3,5]=>[-6,1,-4,2,3,5]
[-6,1,2,-4,3,5]=>[1,-4,6,2,3,5]
[-4,1,2,6,3,5]=>[1,2,6,-4,3,5]
[1,4,2,3,-6,5]=>[-4,1,2,-6,3,5]
[-4,1,2,3,-6,5]=>[1,2,4,-6,3,5]
[1,2,-4,3,-6,5]=>[1,-4,2,-6,3,5]
[1,2,-4,6,3,5]=>[1,-6,2,-4,3,5]
[1,2,-4,3,5,6]=>[1,-4,2,3,5,6]
[1,2,5,-4,3,6]=>[1,2,-4,5,3,6]
[1,2,5,6,-4,3]=>[1,2,5,-4,6,3]
[1,6,2,3,-5,4]=>[-6,1,2,-5,3,4]
[-6,1,2,3,-5,4]=>[1,2,6,-5,3,4]
[1,2,-6,3,-5,4]=>[1,-6,2,-5,3,4]
[1,-5,2,6,3,4]=>[6,1,-5,2,3,4]
[1,2,3,-5,4,6]=>[1,2,-5,3,4,6]
[1,2,3,6,-5,4]=>[1,2,3,-5,6,4]
[1,2,3,4,-6,5]=>[1,2,3,-6,4,5]
[4,5,2,3,-1,6]=>[5,2,3,-4,-1,6]
[6,4,2,-1,3,5]=>[-6,-4,-2,-1,3,5]
[-1,4,2,6,3,5]=>[-6,-1,2,-4,3,5]
[-1,5,6,2,3,4]=>[5,-1,2,6,3,4]
[6,5,-1,2,3,4]=>[-1,6,2,5,3,4]
[4,6,2,-1,3,5]=>[6,-4,2,-1,3,5]
[3,2,6,-1,4,5]=>[-2,-3,-1,6,4,5]
[4,-1,2,6,3,5]=>[-1,6,2,-4,3,5]
[5,-1,6,2,3,4]=>[5,6,-1,2,3,4]
[6,-1,5,2,3,4]=>[-6,-1,2,5,3,4]
[1,2,3,-5,-6,4]=>[1,2,-5,-6,3,4]
[1,2,5,-4,-6,3]=>[1,2,-4,-6,5,3]
[1,2,-4,-5,3,6]=>[1,-4,-5,2,3,6]
[1,2,-4,6,-5,3]=>[1,-4,2,-5,6,3]
[1,-4,2,5,-6,3]=>[4,1,-6,2,5,3]
[1,2,-4,-5,-6,3]=>[1,-4,-5,-6,2,3]
[1,-3,2,-5,-6,4]=>[-3,1,-5,-6,2,4]
[1,4,5,-3,-6,2]=>[1,4,-3,-6,5,2]
[1,4,-3,-5,2,6]=>[1,-3,-5,4,2,6]
[1,4,-3,6,-5,2]=>[1,-3,4,-5,6,2]
[1,-3,4,5,-6,2]=>[-3,-6,1,4,5,2]
[1,4,-3,-5,-6,2]=>[1,-3,-5,-6,4,2]
[1,-3,-4,2,5,6]=>[-3,-4,1,2,5,6]
[1,-3,-4,2,-6,5]=>[-3,-4,1,-6,2,5]
[1,-3,5,-4,2,6]=>[-3,1,-4,5,2,6]
[1,-3,5,6,-4,2]=>[-3,1,5,-4,6,2]
[1,-3,5,-4,-6,2]=>[-3,1,-4,-6,5,2]
[-3,1,4,-5,2,6]=>[1,-5,3,4,2,6]
[-3,1,4,6,-5,2]=>[1,-5,3,6,4,2]
[3,1,4,5,-6,2]=>[3,-6,1,4,5,2]
[-3,1,4,-5,-6,2]=>[1,-5,3,-6,4,2]
[1,-3,-4,-5,2,6]=>[-3,-4,-5,1,2,6]
[1,-3,-4,6,-5,2]=>[-3,-4,1,-5,6,2]
[1,-3,-6,5,-4,2]=>[-3,-6,1,-4,5,2]
[-5,1,3,-4,-6,2]=>[1,-4,5,-6,3,2]
[1,-3,-4,-5,-6,2]=>[-3,-4,-5,-6,1,2]
[-2,1,3,-5,-6,4]=>[2,1,-5,-6,3,4]
[-2,1,5,-4,-6,3]=>[2,1,-4,-6,5,3]
[-2,1,-4,-5,3,6]=>[2,-4,-5,1,3,6]
[-2,1,-4,6,-5,3]=>[2,-4,1,-5,6,3]
[-2,-4,1,5,-6,3]=>[4,2,-6,1,5,3]
[-2,1,-4,-5,-6,3]=>[2,-4,-5,-6,1,3]
[3,-2,1,-5,-6,4]=>[-2,3,-5,-6,1,4]
[3,4,5,-2,-6,1]=>[3,4,-2,-6,5,1]
[3,4,-2,-5,1,6]=>[3,-2,-5,4,1,6]
[3,4,-2,6,-5,1]=>[3,-2,4,-5,6,1]
[3,-2,4,5,-6,1]=>[-2,-6,3,4,5,1]
[3,4,-2,-5,-6,1]=>[3,-2,-5,-6,4,1]
[3,-2,-4,1,5,6]=>[-2,-4,3,1,5,6]
[3,-2,-4,1,-6,5]=>[-2,-4,3,-6,1,5]
[3,-2,5,-4,1,6]=>[-2,3,-4,5,1,6]
[3,-2,5,6,-4,1]=>[-2,3,5,-4,6,1]
[3,-2,5,-4,-6,1]=>[-2,3,-4,-6,5,1]
[-2,3,4,-5,1,6]=>[-5,2,3,4,1,6]
[-2,3,4,6,-5,1]=>[-5,2,3,6,4,1]
[2,3,4,5,-6,1]=>[6,2,3,4,5,1]
[-2,3,4,-5,-6,1]=>[-5,2,3,-6,4,1]
[3,-2,-4,-5,1,6]=>[-2,-4,-5,3,1,6]
[3,-2,-4,6,-5,1]=>[-2,-4,3,-5,6,1]
[3,-2,-6,5,-4,1]=>[-2,-6,3,-4,5,1]
[-2,5,3,-4,-6,1]=>[-5,2,-4,-6,3,1]
[3,-2,-4,-5,-6,1]=>[-2,-4,-5,-6,3,1]
[-2,-3,1,4,-6,5]=>[-3,2,1,-6,4,5]
[-2,-3,1,-5,4,6]=>[-3,2,-5,1,4,6]
[-2,-3,1,6,-5,4]=>[-3,2,1,-5,6,4]
[-2,-3,1,-5,-6,4]=>[-3,2,-5,-6,1,4]
[-2,4,-3,1,-6,5]=>[2,-3,4,-6,1,5]
[-2,4,5,-3,-6,1]=>[2,4,-3,-6,5,1]
[-2,4,-3,-5,1,6]=>[2,-3,-5,4,1,6]
[-2,4,-3,6,-5,1]=>[2,-3,4,-5,6,1]
[-2,-3,4,5,-6,1]=>[-3,-6,2,4,5,1]
[-2,4,-3,-5,-6,1]=>[2,-3,-5,-6,4,1]
[2,3,-4,1,-6,5]=>[4,2,3,-6,1,5]
[2,3,5,-4,-6,1]=>[4,2,5,-6,3,1]
[5,3,4,-2,-6,1]=>[5,3,-2,-6,4,1]
[2,3,-4,-5,1,6]=>[4,2,-5,3,1,6]
[2,3,-4,6,-5,1]=>[4,2,3,-5,6,1]
[2,-4,3,5,-6,1]=>[-6,4,2,3,5,1]
[4,5,3,-2,-6,1]=>[5,-4,-2,-6,3,1]
[2,3,-4,-5,-6,1]=>[4,2,-5,-6,3,1]
[-2,-3,-4,1,-6,5]=>[-3,-4,2,-6,1,5]
[-2,-3,5,-4,-6,1]=>[-3,2,-4,-6,5,1]
[-2,-5,4,-3,-6,1]=>[-5,2,-3,-6,4,1]
[4,2,-3,-5,-6,1]=>[4,-3,-5,-6,2,1]
[3,2,6,1,4,-5]=>[-2,6,-3,1,4,-5]
[3,2,5,4,1,-6]=>[-2,4,-3,-5,1,-6]
[4,5,2,3,1,-6]=>[5,2,3,-4,1,-6]
[4,6,2,1,3,-5]=>[-4,-6,2,1,3,-5]
[6,1,5,4,2,-3]=>[-4,1,2,-5,-6,-3]
[6,5,1,3,2,-4]=>[3,-5,1,2,-6,-4]
[6,4,3,1,2,-5]=>[-4,3,-6,1,2,-5]
[5,4,2,3,1,-6]=>[-4,2,3,-5,1,-6]
[5,3,4,2,1,-6]=>[4,2,-3,-5,1,-6]
[5,3,4,1,2,-6]=>[5,3,4,1,2,-6]
[5,3,2,4,1,-6]=>[-2,-5,4,-3,1,-6]
[5,2,3,4,1,-6]=>[5,3,4,-2,1,-6]
[5,2,3,1,4,-6]=>[2,-5,3,1,4,-6]
[4,5,3,2,1,-6]=>[2,-3,-5,-4,1,-6]
[4,5,3,1,2,-6]=>[5,-4,3,1,2,-6]
[4,5,2,1,3,-6]=>[-5,-4,2,1,3,-6]
[4,3,5,2,1,-6]=>[-5,2,-3,-4,1,-6]
[4,3,5,1,2,-6]=>[-4,3,5,1,2,-6]
[4,3,2,5,1,-6]=>[-2,-3,5,-4,1,-6]
[4,2,3,5,1,-6]=>[2,3,5,-4,1,-6]
[4,2,3,1,5,-6]=>[2,3,-4,1,5,-6]
[3,4,5,2,1,-6]=>[5,2,-4,-3,1,-6]
[3,4,5,1,2,-6]=>[3,4,5,1,2,-6]
[3,4,2,5,1,-6]=>[2,-4,5,-3,1,-6]
[3,4,2,1,5,-6]=>[2,-4,-3,1,5,-6]
[3,4,1,2,5,-6]=>[3,4,1,2,5,-6]
[3,2,4,5,1,-6]=>[-2,4,5,-3,1,-6]
[3,2,4,1,5,-6]=>[-2,4,-3,1,5,-6]
[2,3,4,5,1,-6]=>[3,4,5,-2,1,-6]
[2,3,4,1,5,-6]=>[3,4,-2,1,5,-6]
[2,3,1,4,5,-6]=>[3,-2,1,4,5,-6]
[6,4,3,2,1,-5]=>[-2,-3,-4,1,-6,-5]
[6,4,2,3,1,-5]=>[-4,2,3,1,-6,-5]
[6,4,2,1,3,-5]=>[-4,-2,-6,1,3,-5]
[6,3,4,2,1,-5]=>[4,2,-3,1,-6,-5]
[6,3,4,1,2,-5]=>[-6,3,4,1,2,-5]
[6,3,2,4,1,-5]=>[-2,4,-6,-3,1,-5]
[6,3,2,1,4,-5]=>[-2,-3,-6,1,4,-5]
[6,3,1,2,4,-5]=>[-6,3,1,2,4,-5]
[6,2,3,1,4,-5]=>[2,3,-6,1,4,-5]
[6,2,1,3,4,-5]=>[-6,-2,1,3,4,-5]
[4,6,3,2,1,-5]=>[2,-3,-4,-6,1,-5]
[4,6,3,1,2,-5]=>[-6,-4,3,1,2,-5]
[4,6,2,3,1,-5]=>[-6,2,3,-4,1,-5]
[4,3,6,2,1,-5]=>[2,-6,-3,-4,1,-5]
[4,3,6,1,2,-5]=>[-4,6,3,1,2,-5]
[4,3,2,6,1,-5]=>[-2,6,-3,-4,1,-5]
[4,2,3,6,1,-5]=>[2,6,3,-4,1,-5]
[4,2,3,1,6,-5]=>[2,3,-4,6,1,-5]
[3,4,6,2,1,-5]=>[-6,2,-4,-3,1,-5]
[3,4,6,1,2,-5]=>[3,6,4,1,2,-5]
[3,4,2,6,1,-5]=>[2,6,-4,-3,1,-5]
[3,4,2,1,6,-5]=>[2,-4,-3,6,1,-5]
[3,4,1,2,6,-5]=>[3,4,1,6,2,-5]
[3,2,4,6,1,-5]=>[-2,6,4,-3,1,-5]
[3,2,4,1,6,-5]=>[-2,4,-3,6,1,-5]
[2,3,4,6,1,-5]=>[3,6,4,-2,1,-5]
[2,3,4,1,6,-5]=>[3,4,-2,6,1,-5]
[2,3,1,4,6,-5]=>[3,-2,1,6,4,-5]
[5,6,3,1,2,-4]=>[-6,3,-5,1,2,-4]
[5,6,2,3,1,-4]=>[-6,2,3,1,-5,-4]
[5,6,2,1,3,-4]=>[2,-6,-5,1,3,-4]
[5,3,6,2,1,-4]=>[2,-6,-3,1,-5,-4]
[5,3,6,1,2,-4]=>[3,6,-5,1,2,-4]
[5,3,2,6,1,-4]=>[-2,6,-3,1,-5,-4]
[5,3,2,1,6,-4]=>[-2,-3,1,6,-5,-4]
[5,3,1,2,6,-4]=>[3,-5,1,6,2,-4]
[5,2,3,1,6,-4]=>[2,3,1,6,-5,-4]
[5,2,1,3,6,-4]=>[-2,-5,1,6,3,-4]
[3,5,6,2,1,-4]=>[-6,2,-3,-5,1,-4]
[3,5,6,1,2,-4]=>[5,6,3,1,2,-4]
[3,5,2,6,1,-4]=>[6,2,-5,-3,1,-4]
[3,5,2,1,6,-4]=>[2,-3,-5,6,1,-4]
[3,5,1,2,6,-4]=>[5,3,1,6,2,-4]
[3,2,5,6,1,-4]=>[5,6,-2,-3,1,-4]
[3,2,5,1,6,-4]=>[5,-2,-3,6,1,-4]
[2,3,5,6,1,-4]=>[5,6,3,-2,1,-4]
[2,3,5,1,6,-4]=>[5,3,-2,6,1,-4]
[2,3,1,5,6,-4]=>[3,-2,5,6,1,-4]
[4,5,6,2,1,-3]=>[-6,2,1,-5,-4,-3]
[4,5,2,1,6,-3]=>[2,1,-5,6,-4,-3]
[4,2,5,1,6,-3]=>[5,-2,1,6,-4,-3]
[4,2,1,5,6,-3]=>[-2,1,5,6,-4,-3]
[2,4,5,6,1,-3]=>[5,6,-4,-2,1,-3]
[2,4,5,1,6,-3]=>[5,-4,-2,6,1,-3]
[2,4,1,5,6,-3]=>[-4,-2,5,6,1,-3]
[-1,6,5,3,4,2]=>[-3,-5,-1,4,-6,2]
[-1,6,4,5,3,2]=>[-5,-1,3,-4,-6,2]
[-1,6,4,5,2,3]=>[4,-6,-1,5,2,3]
[-1,6,4,3,5,2]=>[-1,-3,-6,5,-4,2]
[-1,6,3,4,5,2]=>[3,-1,4,5,-6,2]
[-1,6,3,4,2,5]=>[-3,-1,-6,4,2,5]
[-1,5,6,4,3,2]=>[-1,3,-4,-6,-5,2]
[-1,5,6,4,2,3]=>[-6,-1,-5,4,2,3]
[-1,5,6,3,4,2]=>[-6,-1,3,4,-5,2]
[-1,5,6,3,2,4]=>[-1,-6,-5,3,2,4]
[-1,5,4,6,3,2]=>[-1,-6,3,-4,-5,2]
[-1,5,4,6,2,3]=>[-4,-5,-1,6,2,3]
[-1,5,4,3,6,2]=>[-1,-3,-4,6,-5,2]
[-1,5,3,4,6,2]=>[-3,-1,4,6,-5,2]
[-1,5,3,4,2,6]=>[-3,-1,4,-5,2,6]
[-1,4,5,6,3,2]=>[-1,6,3,-5,-4,2]
[-1,4,5,6,2,3]=>[-4,-1,5,6,2,3]
[-1,4,5,3,6,2]=>[-1,3,-5,6,-4,2]
[-1,4,5,3,2,6]=>[-1,3,-5,-4,2,6]
[-1,4,5,2,3,6]=>[-4,-1,5,2,3,6]
[-1,4,3,5,6,2]=>[-1,-3,5,6,-4,2]
[-1,4,3,5,2,6]=>[-1,-3,5,-4,2,6]
[-1,3,4,5,6,2]=>[-1,4,5,6,-3,2]
[-1,3,4,5,2,6]=>[-1,4,5,-3,2,6]
[-1,3,4,2,5,6]=>[-1,4,-3,2,5,6]
[6,-1,5,4,3,2]=>[3,-1,-4,-5,-6,2]
[6,-1,5,4,2,3]=>[-1,-5,-6,4,2,3]
[6,-1,5,3,4,2]=>[-1,-5,3,4,-6,2]
[6,-1,5,3,2,4]=>[3,-5,-6,-1,2,4]
[6,-1,4,5,3,2]=>[-1,5,3,-4,-6,2]
[6,-1,4,5,2,3]=>[-6,-1,4,5,2,3]
[6,-1,4,3,5,2]=>[3,-4,-1,5,-6,2]
[6,-1,4,3,2,5]=>[3,-1,-6,-4,2,5]
[6,-1,4,2,3,5]=>[-6,-1,4,2,3,5]
[6,-1,3,4,2,5]=>[-1,3,-6,4,2,5]
[6,-1,3,2,4,5]=>[-6,3,-1,2,4,5]
[6,-1,2,3,4,5]=>[-1,2,3,6,4,5]
[6,5,-1,4,3,2]=>[-4,3,-1,-5,-6,2]
[6,5,-1,4,2,3]=>[5,-1,-6,4,2,3]
[6,5,-1,3,4,2]=>[5,-1,3,4,-6,2]
[6,5,-1,3,2,4]=>[5,3,-6,-1,2,4]
[6,5,4,-1,3,2]=>[-4,-5,3,-1,-6,2]
[6,5,4,-1,2,3]=>[-6,5,-1,4,2,3]
[6,5,4,3,-1,2]=>[-4,-5,-6,3,-1,2]
[6,5,3,4,-1,2]=>[-6,5,3,4,-1,2]
[6,5,3,4,2,-1]=>[-3,4,2,-5,-6,-1]
[6,4,5,-1,3,2]=>[4,5,3,-1,-6,2]
[6,4,5,-1,2,3]=>[-1,6,4,5,2,3]
[6,4,5,3,-1,2]=>[4,5,-6,3,-1,2]
[6,4,5,3,2,-1]=>[3,2,-5,-4,-6,-1]
[6,4,5,2,3,-1]=>[4,5,2,3,-6,-1]
[6,4,3,5,-1,2]=>[-6,-4,3,5,-1,2]
[6,4,3,5,2,-1]=>[-5,-3,2,-6,-4,-1]
[6,3,4,5,-1,2]=>[3,6,4,5,-1,2]
[6,3,4,5,2,-1]=>[4,5,2,-6,-3,-1]
[6,3,4,2,5,-1]=>[4,-3,2,5,-6,-1]
[5,6,-1,4,2,3]=>[-1,6,-5,4,2,3]
[5,6,-1,3,4,2]=>[-1,6,3,4,-5,2]
[5,6,-1,3,2,4]=>[3,6,-5,-1,2,4]
[5,6,4,-1,3,2]=>[4,-6,3,-1,-5,2]
[5,6,4,-1,2,3]=>[5,6,-1,4,2,3]
[5,6,4,3,-1,2]=>[4,-6,-5,3,-1,2]
[5,6,4,3,2,-1]=>[2,-3,-4,-6,-5,-1]
[5,6,4,2,3,-1]=>[4,-6,2,3,-5,-1]
[5,6,3,4,2,-1]=>[3,4,2,-6,-5,-1]
[5,6,3,2,4,-1]=>[-3,-6,2,4,-5,-1]
[5,4,6,-1,3,2]=>[-4,6,3,-1,-5,2]
[5,4,6,-1,2,3]=>[5,-1,4,6,2,3]
[5,4,6,3,-1,2]=>[-4,6,-5,3,-1,2]
[5,4,6,3,2,-1]=>[-3,2,-6,-4,-5,-1]
[5,4,6,2,3,-1]=>[-4,6,2,3,-5,-1]
[5,4,3,6,-1,2]=>[-4,-5,3,6,-1,2]
[5,4,3,6,2,-1]=>[-6,-3,2,-4,-5,-1]
[5,3,4,6,-1,2]=>[5,3,4,6,-1,2]
[5,3,4,6,2,-1]=>[4,6,2,-3,-5,-1]
[5,3,4,2,6,-1]=>[4,2,-3,6,-5,-1]
[4,5,6,-1,3,2]=>[5,6,3,-1,-4,2]
[4,5,6,3,2,-1]=>[3,2,-6,-5,-4,-1]
[4,5,3,6,2,-1]=>[6,-3,2,-5,-4,-1]
[4,5,3,2,6,-1]=>[2,-3,-5,6,-4,-1]
[4,3,5,6,-1,2]=>[-4,3,5,6,-1,2]
[4,3,5,6,2,-1]=>[-5,6,2,-3,-4,-1]
[4,3,5,2,6,-1]=>[-5,2,-3,6,-4,-1]
[4,2,5,3,-1,6]=>[-2,3,-5,-4,-1,6]
[3,2,6,4,-1,5]=>[-2,4,-6,-3,-1,5]
[5,2,6,3,-1,4]=>[-2,-6,-5,3,-1,4]
[5,2,-1,3,4,6]=>[5,-2,-1,3,4,6]
[6,2,-1,3,4,5]=>[-2,6,-1,3,4,5]
[3,2,5,-1,4,6]=>[-2,-3,5,-1,4,6]
[4,2,6,-1,3,5]=>[-4,-2,-1,6,3,5]
[5,2,6,-1,3,4]=>[5,-2,-1,6,3,4]
[6,2,3,-1,4,5]=>[-6,2,3,-1,4,5]
[3,2,5,6,-1,4]=>[-2,-3,5,6,-1,4]
[3,2,4,6,-1,5]=>[-2,4,-3,6,-1,5]
[4,2,3,6,-1,5]=>[2,3,-4,6,-1,5]
[3,5,2,4,-1,6]=>[-5,2,4,-3,-1,6]
[4,6,2,3,-1,5]=>[2,6,3,-4,-1,5]
[5,6,2,3,-1,4]=>[2,6,-5,3,-1,4]
[4,-1,2,3,5,6]=>[-1,4,2,3,5,6]
[5,-1,2,3,4,6]=>[-1,2,5,3,4,6]
[4,5,2,-1,3,6]=>[-5,-4,2,-1,3,6]
[3,6,2,-1,4,5]=>[6,2,-3,-1,4,5]
[5,6,2,-1,3,4]=>[-5,6,2,-1,3,4]
[3,4,2,-1,5,6]=>[2,-4,-3,-1,5,6]
[2,5,3,-1,4,6]=>[3,-5,-2,-1,4,6]
[2,6,3,-1,4,5]=>[-6,3,-2,-1,4,5]
[4,5,2,6,-1,3]=>[-5,-4,2,6,-1,3]
[3,4,2,6,-1,5]=>[2,-4,-3,6,-1,5]
[2,4,3,6,-1,5]=>[3,-2,-4,6,-1,5]
[2,5,3,6,-1,4]=>[3,-5,-2,6,-1,4]
[3,4,2,5,-1,6]=>[2,-4,5,-3,-1,6]
[2,6,3,4,-1,5]=>[-2,3,-6,4,-1,5]
[3,5,-1,2,4,6]=>[3,-1,5,2,4,6]
[4,5,-1,2,3,6]=>[-1,4,5,2,3,6]
[3,6,-1,2,4,5]=>[3,-1,2,6,4,5]
[4,6,-1,2,3,5]=>[-1,4,2,6,3,5]
[2,4,-1,3,5,6]=>[-2,4,-1,3,5,6]
[2,5,-1,3,4,6]=>[-2,-1,5,3,4,6]
[2,6,-1,3,4,5]=>[-2,-1,3,6,4,5]
[3,5,6,2,-1,4]=>[2,-5,6,-3,-1,4]
[4,5,6,2,-1,3]=>[2,-5,-4,6,-1,3]
[2,4,6,3,-1,5]=>[3,6,-2,-4,-1,5]
[2,5,6,3,-1,4]=>[3,6,-5,-2,-1,4]
[3,4,5,2,-1,6]=>[5,2,-4,-3,-1,6]
[2,4,5,3,-1,6]=>[5,3,-2,-4,-1,6]
[2,3,6,4,-1,5]=>[3,4,-6,-2,-1,5]
[3,5,6,-1,2,4]=>[3,-1,5,6,2,4]
[3,4,6,-1,2,5]=>[3,4,-1,6,2,5]
[2,4,6,-1,3,5]=>[-2,4,-1,6,3,5]
[2,5,6,-1,3,4]=>[-2,-1,5,6,3,4]
[2,4,5,-1,3,6]=>[-2,4,5,-1,3,6]
[2,3,5,-1,4,6]=>[3,-2,5,-1,4,6]
[2,3,6,-1,4,5]=>[3,-2,-1,6,4,5]
[2,4,5,6,-1,3]=>[-2,4,5,6,-1,3]
[2,3,5,6,-1,4]=>[3,-2,5,6,-1,4]
[2,3,4,6,-1,5]=>[3,4,-2,6,-1,5]
[2,3,-1,5,6,4]=>[3,-2,-1,6,-5,4]
[2,-1,3,5,6,4]=>[-2,-1,3,6,-5,4]
[2,6,4,5,3,-1]=>[-2,5,3,-4,-6,-1]
[2,-1,4,5,3,6]=>[-2,-1,5,-4,3,6]
[2,-1,4,5,6,3]=>[-2,-1,5,6,-4,3]
[2,-1,4,6,5,3]=>[-2,-1,5,-4,-6,3]
[2,-1,5,4,6,3]=>[-2,-1,-4,6,-5,3]
[2,-1,6,4,5,3]=>[-2,-4,-1,5,-6,3]
[3,2,-1,5,6,4]=>[-2,-3,-1,6,-5,4]
[-1,2,3,5,6,4]=>[-1,2,3,6,-5,4]
[6,2,4,5,3,-1]=>[4,5,3,-2,-6,-1]
[-1,2,4,5,3,6]=>[-1,2,5,-4,3,6]
[-1,2,4,5,6,3]=>[-1,2,5,6,-4,3]
[-1,2,4,6,5,3]=>[-1,2,5,-4,-6,3]
[-1,2,5,4,6,3]=>[-1,2,-4,6,-5,3]
[-1,2,6,4,5,3]=>[-1,-4,2,5,-6,3]
[-1,3,2,5,6,4]=>[-1,-3,2,6,-5,4]
[5,3,4,2,-1,6]=>[4,2,-3,-5,-1,6]
[-1,3,4,2,6,5]=>[-1,4,-3,2,-6,5]
[-1,3,4,6,5,2]=>[-1,4,5,-3,-6,2]
[6,3,5,4,2,-1]=>[4,2,-3,-5,-6,-1]
[-1,3,5,4,2,6]=>[-1,4,-3,-5,2,6]
[-1,3,5,4,6,2]=>[-1,4,-3,6,-5,2]
[-1,3,6,4,5,2]=>[-1,-3,4,5,-6,2]
[-1,3,6,5,4,2]=>[-1,4,-3,-5,-6,2]
[-1,4,3,6,5,2]=>[-1,-3,5,-4,-6,2]
[-1,6,3,5,4,2]=>[-3,-1,4,-5,-6,2]
[1,2,-6,5,3,4]=>[-5,1,-6,2,3,4]
[-6,1,2,5,3,4]=>[1,-6,2,5,3,4]
[6,1,-4,2,-5,3]=>[-6,4,1,-5,2,3]
[5,1,-6,-3,2,4]=>[-3,6,1,2,5,4]
[-6,1,4,5,2,3]=>[-4,1,6,5,2,3]
[-2,1,-6,5,3,4]=>[-5,2,-6,1,3,4]
[-6,3,1,2,-5,4]=>[6,3,1,-5,2,4]
[-4,6,1,2,-5,3]=>[4,6,1,-5,2,3]
[6,-3,1,-4,2,5]=>[3,-4,6,1,2,5]
[-6,5,1,-3,2,4]=>[6,5,-3,1,2,4]
[-6,5,-4,1,2,3]=>[1,4,6,2,5,3]
[-5,-3,1,6,-4,2]=>[1,5,3,-4,6,2]
[-6,-2,4,1,3,5]=>[-2,6,4,1,3,5]
[-6,-2,1,5,3,4]=>[2,-6,1,5,3,4]
[6,-2,-4,1,-5,3]=>[-6,4,2,-5,1,3]
[4,6,-3,1,-5,2]=>[3,4,6,-5,1,2]
[3,-2,-6,5,1,4]=>[5,-6,-3,-2,1,4]
[-6,-2,4,5,1,3]=>[4,-2,6,5,1,3]
[2,-4,-3,1,-6,5]=>[3,2,4,-6,1,5]
[-5,2,-3,6,1,4]=>[-5,-2,6,-3,1,4]
[2,-6,4,-3,-5,1]=>[3,2,-6,-5,4,1]
[-2,1,4,-6,-5,3]=>[2,-5,1,4,6,3]
[4,-6,1,-3,-5,2]=>[1,-6,-3,-5,4,2]
[5,6,3,1,-4,2]=>[1,-6,-5,-4,3,2]
[2,-3,-5,-4,-6,1]=>[3,-4,2,-6,5,1]
[2,-4,-3,-5,-6,1]=>[3,2,-5,-6,4,1]
[4,2,-6,-3,-5,1]=>[6,-3,2,-5,4,1]
[-5,2,-3,-4,-6,1]=>[5,-3,-4,-6,2,1]
[5,2,-4,-3,-6,1]=>[4,-3,2,-6,5,1]
[6,-4,2,-3,-5,1]=>[-6,-3,4,-5,2,1]
[4,3,-2,-6,-5,1]=>[-4,-2,-5,3,6,1]
[5,3,-2,-4,-6,1]=>[-2,-5,-4,-6,3,1]
[6,-2,3,-4,-5,1]=>[-6,-4,2,-5,3,1]
[5,6,3,-2,-4,1]=>[2,-6,-5,-4,3,1]
[-2,6,4,-3,-5,1]=>[2,-3,-6,-5,4,1]
[3,6,4,-2,-5,1]=>[3,-2,-6,-5,4,1]
[2,-4,5,-3,-6,1]=>[4,5,-3,-6,2,1]
[2,-4,-3,6,-5,1]=>[3,2,4,-5,6,1]
[5,3,-2,6,-4,1]=>[-2,-5,3,-4,6,1]
[1,3,-4,-6,-5,2]=>[-4,1,-5,3,6,2]
[1,3,-5,-4,-6,2]=>[-4,1,3,-6,5,2]
[1,-6,3,-4,-5,2]=>[-6,1,-4,-5,3,2]
[1,6,3,-5,-4,2]=>[-5,1,-4,3,6,2]
[1,6,4,-3,-5,2]=>[1,-3,-6,-5,4,2]
[1,3,-5,6,-4,2]=>[-5,1,6,-4,3,2]
[1,2,4,-6,-5,3]=>[1,-5,2,4,6,3]
[2,-4,-3,-5,1,6]=>[3,2,-5,4,1,6]
[5,3,-2,-4,1,6]=>[-2,-5,-4,3,1,6]
[1,3,-5,-4,2,6]=>[-4,1,3,5,2,6]
[-2,-5,-3,6,1,4]=>[5,-2,6,-3,1,4]
[-5,4,1,-3,-6,2]=>[4,-5,-3,-6,1,2]
[5,-4,3,1,-6,2]=>[-4,5,3,-6,1,2]
[-2,-3,5,1,4,6]=>[5,-2,-3,1,4,6]
[-4,-2,5,1,3,6]=>[4,5,-2,1,3,6]
[-5,2,4,1,3,6]=>[-2,5,4,1,3,6]
[-2,-3,1,6,4,5]=>[-3,2,-6,1,4,5]
[-4,-2,1,6,3,5]=>[2,1,6,-4,3,5]
[-4,3,1,6,2,5]=>[-3,6,1,-4,2,5]
[5,-2,1,6,3,4]=>[-2,1,-5,6,3,4]
[6,2,-3,5,1,4]=>[-6,-2,5,-3,1,4]
[6,-4,2,5,1,3]=>[-4,-2,6,5,1,3]
[-4,6,3,5,1,2]=>[6,-4,3,5,1,2]
[2,-5,6,4,1,3]=>[-2,-6,-5,4,1,3]
[-2,-3,-4,6,1,5]=>[6,-2,-3,-4,1,5]
[-4,-5,-2,6,1,3]=>[-5,4,6,-2,1,3]
[-6,-2,-3,5,1,4]=>[6,5,-2,-3,1,4]
[-6,-4,-2,5,1,3]=>[4,6,-2,5,1,3]
[5,-6,2,4,1,3]=>[-2,6,5,4,1,3]
[2,1,5,3,6,-4]=>[-2,1,3,6,-5,-4]
[2,5,1,3,6,-4]=>[5,-2,1,6,3,-4]
[2,5,3,1,6,-4]=>[3,-2,1,6,-5,-4]
[2,1,5,6,3,-4]=>[-2,6,1,3,-5,-4]
[2,5,1,6,3,-4]=>[-6,-2,1,3,-5,-4]
[5,2,1,6,3,-4]=>[-2,1,-6,3,-5,-4]
[2,5,6,1,3,-4]=>[5,6,-2,1,3,-4]
[5,2,6,1,3,-4]=>[-2,6,-5,1,3,-4]
[2,5,3,6,1,-4]=>[3,6,-2,1,-5,-4]
[2,5,6,3,1,-4]=>[-6,3,-2,1,-5,-4]
[3,1,6,4,2,-5]=>[-4,1,-3,2,-6,-5]
[3,6,1,4,2,-5]=>[4,-6,1,-3,2,-5]
[6,3,1,4,2,-5]=>[-4,1,-6,-3,2,-5]
[3,6,4,1,2,-5]=>[3,4,-6,1,2,-5]
[3,2,1,6,4,-5]=>[-2,-3,1,4,-6,-5]
[3,6,2,1,4,-5]=>[2,-6,-3,1,4,-5]
[3,2,6,4,1,-5]=>[-2,4,-3,1,-6,-5]
[3,6,2,4,1,-5]=>[2,-6,4,-3,1,-5]
[3,6,4,2,1,-5]=>[2,-4,-3,1,-6,-5]
[1,6,4,5,3,-2]=>[1,5,3,-4,-6,-2]
[1,2,4,5,3,-6]=>[1,2,5,-4,3,-6]
[1,3,4,2,6,-5]=>[1,4,-3,6,2,-5]
[1,3,4,2,5,-6]=>[1,4,-3,2,5,-6]
[1,3,4,5,2,-6]=>[1,4,5,-3,2,-6]
[1,3,5,4,2,-6]=>[1,4,-3,-5,2,-6]
[1,4,3,5,2,-6]=>[1,-3,5,-4,2,-6]
[1,5,3,4,2,-6]=>[-3,1,4,-5,2,-6]
[2,1,4,5,3,-6]=>[-2,1,5,-4,3,-6]
[2,3,1,6,5,-4]=>[3,-2,5,1,-6,-4]
[2,3,1,5,4,-6]=>[3,-2,1,-5,4,-6]
[2,3,5,4,1,-6]=>[3,4,-2,-5,1,-6]
[2,4,3,1,6,-5]=>[3,-2,-4,6,1,-5]
[2,4,3,1,5,-6]=>[3,-2,-4,1,5,-6]
[2,4,3,5,1,-6]=>[3,-2,5,-4,1,-6]
[2,5,3,4,1,-6]=>[-2,3,4,-5,1,-6]
[2,5,4,3,1,-6]=>[3,-2,-4,-5,1,-6]
[5,2,4,3,1,-6]=>[2,3,-4,-5,1,-6]
[6,4,3,-1,2,5]=>[-6,-4,3,-1,2,5]
[4,-1,2,6,5,3]=>[5,-1,2,-4,-6,3]
[5,-1,6,2,4,3]=>[4,-6,-1,2,-5,3]
[5,3,2,6,4,-1]=>[-2,-3,4,-6,-5,-1]
[5,3,6,2,4,-1]=>[-6,-5,2,4,-3,-1]
[5,3,6,4,2,-1]=>[-4,2,-3,-6,-5,-1]
[5,3,2,6,-1,4]=>[-2,-5,-3,6,-1,4]
[5,3,6,2,-1,4]=>[6,2,-5,-3,-1,4]
[5,6,3,2,-1,4]=>[2,-6,-5,-3,-1,4]
[5,3,6,-1,2,4]=>[5,3,-1,6,2,4]
[5,6,3,-1,2,4]=>[5,6,3,-1,2,4]
[5,3,6,4,-1,2]=>[-6,3,-5,4,-1,2]
[5,3,6,-1,4,2]=>[-6,-5,4,-1,-3,2]
[6,4,2,-1,5,3]=>[-2,-5,-6,-1,-4,3]
[6,4,-1,2,5,3]=>[4,5,-1,2,-6,3]
[6,-1,4,2,5,3]=>[5,-4,-1,2,-6,3]
[6,4,-1,5,2,3]=>[-6,5,-4,-1,2,3]
[6,4,3,2,-1,5]=>[-2,-3,-6,-4,-1,5]
[6,4,-1,3,2,5]=>[-4,3,-6,-1,2,5]
[6,4,3,-1,5,2]=>[-5,-3,-6,-1,-4,2]
[6,4,-1,3,5,2]=>[4,3,-1,5,-6,2]
[6,4,-1,5,3,2]=>[-3,-5,-1,-6,-4,2]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,-7,6]
[1,2,3,4,6,5,7]=>[1,2,3,4,-6,5,7]
[1,2,3,4,6,7,5]=>[1,2,3,4,7,-6,5]
[1,2,3,4,7,5,6]=>[1,2,3,-7,4,5,6]
[1,2,3,4,7,6,5]=>[1,2,3,4,-6,-7,5]
[1,2,3,5,4,6,7]=>[1,2,3,-5,4,6,7]
[1,2,3,5,4,7,6]=>[1,2,3,-5,4,-7,6]
[1,2,3,5,6,4,7]=>[1,2,3,6,-5,4,7]
[1,2,3,5,6,7,4]=>[1,2,3,6,7,-5,4]
[1,2,3,5,7,4,6]=>[1,2,3,-5,7,4,6]
[1,2,3,5,7,6,4]=>[1,2,3,6,-5,-7,4]
[1,2,3,6,4,5,7]=>[1,2,-6,3,4,5,7]
[1,2,3,6,4,7,5]=>[1,2,3,-7,4,-6,5]
[1,2,3,6,5,7,4]=>[1,2,3,-5,7,-6,4]
[1,2,3,6,7,4,5]=>[1,2,-6,3,7,4,5]
[1,2,3,6,7,5,4]=>[1,2,3,5,-7,-6,4]
[1,2,3,7,4,5,6]=>[1,-7,2,3,4,5,6]
[1,2,3,7,4,6,5]=>[1,2,-6,3,4,-7,5]
[1,2,3,7,5,4,6]=>[1,2,3,-7,-5,4,6]
[1,2,3,7,5,6,4]=>[1,2,-5,3,6,-7,4]
[1,2,3,7,6,4,5]=>[1,2,-6,-7,3,4,5]
[1,2,3,7,6,5,4]=>[1,2,3,-5,-6,-7,4]
[1,2,4,3,5,6,7]=>[1,2,-4,3,5,6,7]
[1,2,4,3,5,7,6]=>[1,2,-4,3,5,-7,6]
[1,2,4,3,6,5,7]=>[1,2,-4,3,-6,5,7]
[1,2,4,3,6,7,5]=>[1,2,-4,3,7,-6,5]
[1,2,4,3,7,5,6]=>[1,2,-4,-7,3,5,6]
[1,2,4,3,7,6,5]=>[1,2,-4,3,-6,-7,5]
[1,2,4,5,3,6,7]=>[1,2,5,-4,3,6,7]
[1,2,4,5,3,7,6]=>[1,2,5,-4,3,-7,6]
[1,2,4,5,6,3,7]=>[1,2,5,6,-4,3,7]
[1,2,4,5,6,7,3]=>[1,2,5,6,7,-4,3]
[1,2,4,5,7,3,6]=>[1,2,5,-4,7,3,6]
[1,2,4,5,7,6,3]=>[1,2,5,6,-4,-7,3]
[1,2,4,6,3,5,7]=>[1,2,-4,6,3,5,7]
[1,2,4,6,3,7,5]=>[1,2,7,-4,3,-6,5]
[1,2,4,6,7,3,5]=>[1,2,-4,6,7,3,5]
[1,2,4,6,7,5,3]=>[1,2,7,5,-4,-6,3]
[1,2,4,7,3,5,6]=>[1,2,-4,3,7,5,6]
[1,2,4,7,5,6,3]=>[1,2,-4,5,6,-7,3]
[1,2,4,7,6,5,3]=>[1,2,5,-4,-6,-7,3]
[1,2,5,3,4,6,7]=>[1,-5,2,3,4,6,7]
[1,2,5,3,4,7,6]=>[1,-5,2,3,4,-7,6]
[1,2,5,3,6,4,7]=>[1,2,-6,3,-5,4,7]
[1,2,5,3,6,7,4]=>[1,2,-6,3,7,-5,4]
[1,2,5,3,7,4,6]=>[1,-7,2,3,-5,4,6]
[1,2,5,4,3,7,6]=>[1,2,-4,-5,3,-7,6]
[1,2,5,4,6,7,3]=>[1,2,-4,6,7,-5,3]
[1,2,5,6,3,4,7]=>[1,-5,2,6,3,4,7]
[1,2,5,6,3,7,4]=>[1,2,7,-6,3,-5,4]
[1,2,5,6,4,7,3]=>[1,2,4,-6,7,-5,3]
[1,2,5,6,7,3,4]=>[1,-5,2,6,7,3,4]
[1,2,5,6,7,4,3]=>[1,2,7,4,-6,-5,3]
[1,2,5,7,3,4,6]=>[1,-5,2,3,7,4,6]
[1,2,5,7,3,6,4]=>[1,2,-7,6,3,-5,4]
[1,2,5,7,4,3,6]=>[1,2,-7,4,-5,3,6]
[1,2,5,7,6,3,4]=>[1,-5,2,-7,6,3,4]
[1,2,5,7,6,4,3]=>[1,2,4,-6,-5,-7,3]
[1,2,6,3,4,5,7]=>[-6,1,2,3,4,5,7]
[1,2,6,3,4,7,5]=>[1,-7,2,3,4,-6,5]
[1,2,6,3,5,7,4]=>[1,-5,2,3,7,-6,4]
[1,2,6,3,7,4,5]=>[1,-7,2,-6,3,4,5]
[1,2,6,3,7,5,4]=>[1,2,-5,3,-7,-6,4]
[1,2,6,4,3,7,5]=>[1,2,-4,-7,3,-6,5]
[1,2,6,4,5,7,3]=>[1,-4,2,5,7,-6,3]
[1,2,6,4,7,3,5]=>[1,2,-6,-4,7,3,5]
[1,2,6,5,3,7,4]=>[1,2,-7,-5,3,-6,4]
[1,2,6,5,4,7,3]=>[1,2,-4,-5,7,-6,3]
[1,2,6,5,7,3,4]=>[1,-5,-6,2,7,3,4]
[1,2,6,7,3,4,5]=>[-6,1,2,3,7,4,5]
[1,2,6,7,4,3,5]=>[1,2,-7,-6,4,3,5]
[1,2,6,7,4,5,3]=>[1,-7,2,4,5,-6,3]
[1,2,6,7,5,3,4]=>[1,-7,2,-6,5,3,4]
[1,2,6,7,5,4,3]=>[1,2,4,-5,-7,-6,3]
[1,2,7,3,4,5,6]=>[7,1,2,3,4,5,6]
[1,2,7,3,4,6,5]=>[-6,1,2,3,4,-7,5]
[1,2,7,3,5,4,6]=>[1,-5,2,-7,3,4,6]
[1,2,7,3,5,6,4]=>[-5,1,2,3,6,-7,4]
[1,2,7,3,6,4,5]=>[-6,1,2,-7,3,4,5]
[1,2,7,3,6,5,4]=>[1,-5,2,3,-6,-7,4]
[1,2,7,4,3,5,6]=>[1,-7,2,-4,3,5,6]
[1,2,7,4,3,6,5]=>[1,2,-6,-4,3,-7,5]
[1,2,7,4,5,3,6]=>[1,-4,2,-7,5,3,6]
[1,2,7,4,5,6,3]=>[-4,1,2,5,6,-7,3]
[1,2,7,4,6,5,3]=>[1,-4,2,5,-6,-7,3]
[1,2,7,5,3,4,6]=>[1,-7,-5,2,3,4,6]
[1,2,7,5,6,3,4]=>[-5,1,-7,2,6,3,4]
[1,2,7,5,6,4,3]=>[1,-6,2,4,-5,-7,3]
[1,2,7,6,3,4,5]=>[-6,-7,1,2,3,4,5]
[1,2,7,6,3,5,4]=>[1,-5,-6,2,3,-7,4]
[1,2,7,6,4,3,5]=>[1,2,-6,-7,-4,3,5]
[1,2,7,6,4,5,3]=>[1,-4,-6,2,5,-7,3]
[1,2,7,6,5,3,4]=>[1,-5,-6,-7,2,3,4]
[1,2,7,6,5,4,3]=>[1,2,-4,-5,-6,-7,3]
[1,3,2,4,5,6,7]=>[1,-3,2,4,5,6,7]
[1,3,2,4,5,7,6]=>[1,-3,2,4,5,-7,6]
[1,3,2,4,6,5,7]=>[1,-3,2,4,-6,5,7]
[1,3,2,4,6,7,5]=>[1,-3,2,4,7,-6,5]
[1,3,2,4,7,5,6]=>[1,-3,2,-7,4,5,6]
[1,3,2,4,7,6,5]=>[1,-3,2,4,-6,-7,5]
[1,3,2,5,4,6,7]=>[1,-3,2,-5,4,6,7]
[1,3,2,5,4,7,6]=>[1,-3,2,-5,4,-7,6]
[1,3,2,5,6,4,7]=>[1,-3,2,6,-5,4,7]
[1,3,2,5,6,7,4]=>[1,-3,2,6,7,-5,4]
[1,3,2,5,7,4,6]=>[1,-3,2,-5,7,4,6]
[1,3,2,6,4,5,7]=>[1,-3,-6,2,4,5,7]
[1,3,2,6,4,7,5]=>[1,-3,2,-7,4,-6,5]
[1,3,2,6,7,4,5]=>[1,-3,-6,2,7,4,5]
[1,3,2,7,4,5,6]=>[1,-7,-3,2,4,5,6]
[1,3,4,2,5,6,7]=>[1,4,-3,2,5,6,7]
[1,3,4,2,5,7,6]=>[1,4,-3,2,5,-7,6]
[1,3,4,2,6,5,7]=>[1,4,-3,2,-6,5,7]
[1,3,4,2,6,7,5]=>[1,4,-3,2,7,-6,5]
[1,3,4,2,7,5,6]=>[1,4,-3,-7,2,5,6]
[1,3,4,2,7,6,5]=>[1,4,-3,2,-6,-7,5]
[1,3,4,5,2,6,7]=>[1,4,5,-3,2,6,7]
[1,3,4,5,2,7,6]=>[1,4,5,-3,2,-7,6]
[1,3,4,5,6,2,7]=>[1,4,5,6,-3,2,7]
[1,3,4,5,6,7,2]=>[1,4,5,6,7,-3,2]
[1,3,4,5,7,2,6]=>[1,4,5,-3,7,2,6]
[1,3,4,5,7,6,2]=>[1,4,5,6,-3,-7,2]
[1,3,4,6,2,5,7]=>[1,4,-3,6,2,5,7]
[1,3,4,6,2,7,5]=>[1,4,7,-3,2,-6,5]
[1,3,4,6,7,2,5]=>[1,4,-3,6,7,2,5]
[1,3,4,6,7,5,2]=>[1,4,7,5,-3,-6,2]
[1,3,4,7,2,5,6]=>[1,4,-3,2,7,5,6]
[1,3,4,7,2,6,5]=>[1,4,-3,6,2,-7,5]
[1,3,4,7,5,6,2]=>[1,4,-3,5,6,-7,2]
[1,3,4,7,6,5,2]=>[1,4,5,-3,-6,-7,2]
[1,3,5,2,4,6,7]=>[1,-3,5,2,4,6,7]
[1,3,5,2,4,7,6]=>[1,-3,5,2,4,-7,6]
[1,3,5,2,6,4,7]=>[1,6,-3,2,-5,4,7]
[1,3,5,2,6,7,4]=>[1,6,-3,2,7,-5,4]
[1,3,5,2,7,4,6]=>[1,-3,7,2,-5,4,6]
[1,3,5,2,7,6,4]=>[1,6,-3,2,-5,-7,4]
[1,3,5,6,2,4,7]=>[1,-3,5,6,2,4,7]
[1,3,5,6,2,7,4]=>[1,6,7,-3,2,-5,4]
[1,3,5,6,7,2,4]=>[1,-3,5,6,7,2,4]
[1,3,5,6,7,4,2]=>[1,6,7,4,-3,-5,2]
[1,3,5,7,2,4,6]=>[1,-3,5,2,7,4,6]
[1,3,5,7,2,6,4]=>[1,7,-3,6,2,-5,4]
[1,3,5,7,6,4,2]=>[1,6,4,-3,-5,-7,2]
[1,3,6,2,4,5,7]=>[1,-3,2,6,4,5,7]
[1,3,6,2,4,7,5]=>[1,-3,7,2,4,-6,5]
[1,3,6,2,5,7,4]=>[1,-3,5,2,7,-6,4]
[1,3,6,2,7,4,5]=>[1,-3,7,-6,2,4,5]
[1,3,6,4,2,7,5]=>[1,4,-3,-7,2,-6,5]
[1,3,6,4,5,7,2]=>[1,-3,4,5,7,-6,2]
[1,3,6,7,2,4,5]=>[1,-3,2,6,7,4,5]
[1,3,6,7,2,5,4]=>[1,-3,7,5,2,-6,4]
[1,3,6,7,4,5,2]=>[1,-3,7,4,5,-6,2]
[1,3,6,7,5,4,2]=>[1,5,4,-3,-7,-6,2]
[1,3,7,2,4,5,6]=>[1,-3,2,4,7,5,6]
[1,3,7,2,6,5,4]=>[1,-3,5,2,-6,-7,4]
[1,3,7,4,2,6,5]=>[1,4,-6,-3,2,-7,5]
[1,3,7,4,5,6,2]=>[-3,1,4,5,6,-7,2]
[1,3,7,5,2,4,6]=>[1,-7,-3,5,2,4,6]
[1,3,7,5,2,6,4]=>[1,6,-5,-3,2,-7,4]
[1,3,7,5,6,4,2]=>[1,-3,6,4,-5,-7,2]
[1,3,7,6,2,5,4]=>[1,-3,-6,5,2,-7,4]
[1,3,7,6,4,5,2]=>[1,-3,-6,4,5,-7,2]
[1,3,7,6,5,4,2]=>[1,4,-3,-5,-6,-7,2]
[1,4,2,3,5,6,7]=>[-4,1,2,3,5,6,7]
[1,4,2,3,5,7,6]=>[-4,1,2,3,5,-7,6]
[1,4,2,3,6,5,7]=>[-4,1,2,3,-6,5,7]
[1,4,2,3,6,7,5]=>[-4,1,2,3,7,-6,5]
[1,4,2,3,7,5,6]=>[-4,1,2,-7,3,5,6]
[1,4,2,3,7,6,5]=>[-4,1,2,3,-6,-7,5]
[1,4,2,5,3,6,7]=>[1,-5,2,-4,3,6,7]
[1,4,2,5,3,7,6]=>[1,-5,2,-4,3,-7,6]
[1,4,2,5,6,3,7]=>[1,-5,2,6,-4,3,7]
[1,4,2,5,6,7,3]=>[1,-5,2,6,7,-4,3]
[1,4,2,5,7,3,6]=>[1,-5,2,-4,7,3,6]
[1,4,2,5,7,6,3]=>[1,-5,2,6,-4,-7,3]
[1,4,2,6,3,5,7]=>[-6,1,2,-4,3,5,7]
[1,4,2,6,3,7,5]=>[1,-7,2,-4,3,-6,5]
[1,4,2,6,7,3,5]=>[-6,1,2,-4,7,3,5]
[1,4,2,7,3,5,6]=>[7,1,2,-4,3,5,6]
[1,4,2,7,3,6,5]=>[-6,1,2,-4,3,-7,5]
[1,4,2,7,6,3,5]=>[-6,1,2,-7,-4,3,5]
[1,4,2,7,6,5,3]=>[1,-5,2,-4,-6,-7,3]
[1,4,3,2,7,6,5]=>[1,-3,-4,2,-6,-7,5]
[1,4,3,5,6,7,2]=>[1,-3,5,6,7,-4,2]
[1,4,5,2,3,6,7]=>[-4,1,5,2,3,6,7]
[1,4,5,2,3,7,6]=>[-4,1,5,2,3,-7,6]
[1,4,5,2,6,3,7]=>[1,6,-5,2,-4,3,7]
[1,4,5,2,6,7,3]=>[1,6,-5,2,7,-4,3]
[1,4,5,2,7,3,6]=>[1,-5,7,2,-4,3,6]
[1,4,5,2,7,6,3]=>[1,6,-5,2,-4,-7,3]
[1,4,5,3,6,7,2]=>[1,3,-5,6,7,-4,2]
[1,4,5,3,7,6,2]=>[1,3,-5,6,-4,-7,2]
[1,4,5,6,2,3,7]=>[-4,1,5,6,2,3,7]
[1,4,5,6,2,7,3]=>[1,6,7,-5,2,-4,3]
[1,4,5,6,3,7,2]=>[1,6,3,-5,7,-4,2]
[1,4,5,6,7,2,3]=>[-4,1,5,6,7,2,3]
[1,4,5,6,7,3,2]=>[1,6,7,3,-5,-4,2]
[1,4,5,7,2,3,6]=>[-4,1,5,2,7,3,6]
[1,4,5,7,2,6,3]=>[1,7,-5,6,2,-4,3]
[1,4,5,7,6,2,3]=>[-4,1,5,-7,6,2,3]
[1,4,5,7,6,3,2]=>[1,6,3,-5,-4,-7,2]
[1,4,6,2,3,5,7]=>[-4,1,2,6,3,5,7]
[1,4,6,2,3,7,5]=>[-4,1,7,2,3,-6,5]
[1,4,6,2,7,3,5]=>[-6,1,7,2,-4,3,5]
[1,4,6,2,7,5,3]=>[1,5,-7,2,-4,-6,3]
[1,4,6,5,3,7,2]=>[1,3,-5,-4,7,-6,2]
[1,4,6,7,2,3,5]=>[-4,1,2,6,7,3,5]
[1,4,6,7,5,2,3]=>[-4,1,7,-6,5,2,3]
[1,4,6,7,5,3,2]=>[1,5,3,-7,-4,-6,2]
[1,4,7,2,3,5,6]=>[-4,1,2,3,7,5,6]
[1,4,7,2,3,6,5]=>[-4,1,2,6,3,-7,5]
[1,4,7,2,5,6,3]=>[1,-7,2,5,6,-4,3]
[1,4,7,2,6,5,3]=>[1,-6,5,2,-4,-7,3]
[1,4,7,3,2,6,5]=>[1,-6,3,-4,2,-7,5]
[1,4,7,3,5,2,6]=>[-7,1,3,5,-4,2,6]
[1,4,7,3,6,5,2]=>[1,-6,3,5,-4,-7,2]
[1,4,7,5,6,2,3]=>[-4,-7,1,5,6,2,3]
[1,4,7,5,6,3,2]=>[1,-5,6,3,-4,-7,2]
[1,4,7,6,2,5,3]=>[1,-6,-4,5,2,-7,3]
[1,4,7,6,5,2,3]=>[-4,1,-6,-7,5,2,3]
[1,4,7,6,5,3,2]=>[1,3,-5,-4,-6,-7,2]
[1,5,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[1,5,2,3,4,7,6]=>[5,1,2,3,4,-7,6]
[1,5,2,3,6,4,7]=>[-6,1,2,3,-5,4,7]
[1,5,2,3,6,7,4]=>[-6,1,2,3,7,-5,4]
[1,5,2,3,7,4,6]=>[7,1,2,3,-5,4,6]
[1,5,2,3,7,6,4]=>[-6,1,2,3,-5,-7,4]
[1,5,2,4,6,7,3]=>[-4,1,2,6,7,-5,3]
[1,5,2,4,7,6,3]=>[-4,1,2,6,-5,-7,3]
[1,5,2,6,3,4,7]=>[-6,1,-5,2,3,4,7]
[1,5,2,6,3,7,4]=>[1,-7,2,-6,3,-5,4]
[1,5,2,6,7,3,4]=>[-6,1,-5,2,7,3,4]
[1,5,2,6,7,4,3]=>[1,-7,2,4,-6,-5,3]
[1,5,2,7,3,4,6]=>[7,1,-5,2,3,4,6]
[1,5,2,7,3,6,4]=>[-6,1,2,-7,3,-5,4]
[1,5,2,7,4,6,3]=>[-4,1,2,-7,6,-5,3]
[1,5,2,7,6,4,3]=>[1,-4,2,-6,-5,-7,3]
[1,5,3,2,4,7,6]=>[1,-5,-3,2,4,-7,6]
[1,5,3,2,6,7,4]=>[1,-3,-6,2,7,-5,4]
[1,5,3,2,7,6,4]=>[1,-3,-6,2,-5,-7,4]
[1,5,3,4,2,7,6]=>[-3,1,4,-5,2,-7,6]
[1,5,3,4,6,7,2]=>[-3,1,4,6,7,-5,2]
[1,5,3,4,7,6,2]=>[-3,1,4,6,-5,-7,2]
[1,5,3,6,7,2,4]=>[1,-5,-3,6,7,2,4]
[1,5,3,7,2,4,6]=>[1,-5,-3,2,7,4,6]
[1,5,3,7,2,6,4]=>[1,-3,-7,6,2,-5,4]
[1,5,3,7,4,6,2]=>[-3,1,4,-7,6,-5,2]
[1,5,3,7,6,4,2]=>[1,-3,4,-6,-5,-7,2]
[1,5,4,2,7,6,3]=>[1,-6,-4,2,-5,-7,3]
[1,5,4,3,2,7,6]=>[1,-3,-4,-5,2,-7,6]
[1,5,4,3,6,7,2]=>[1,-3,-4,6,7,-5,2]
[1,5,4,3,7,6,2]=>[1,-3,-4,6,-5,-7,2]
[1,5,4,7,2,6,3]=>[1,-7,-4,6,2,-5,3]
[1,5,4,7,6,3,2]=>[1,-6,3,-4,-5,-7,2]
[1,5,6,2,3,4,7]=>[5,1,2,6,3,4,7]
[1,5,6,2,3,7,4]=>[-6,1,7,2,3,-5,4]
[1,5,6,2,4,7,3]=>[-6,1,4,2,7,-5,3]
[1,5,6,2,7,3,4]=>[-6,1,7,-5,2,3,4]
[1,5,6,3,2,7,4]=>[1,3,-7,-6,2,-5,4]
[1,5,6,3,4,7,2]=>[-6,1,3,4,7,-5,2]
[1,5,6,3,7,2,4]=>[1,-6,-5,3,7,2,4]
[1,5,6,4,3,7,2]=>[1,3,-4,-6,7,-5,2]
[1,5,6,4,7,2,3]=>[-6,1,-5,4,7,2,3]
[1,5,6,4,7,3,2]=>[1,7,-4,3,-6,-5,2]
[1,5,6,7,2,3,4]=>[5,1,2,6,7,3,4]
[1,5,6,7,2,4,3]=>[-6,1,7,4,2,-5,3]
[1,5,6,7,3,2,4]=>[1,3,-6,-5,7,2,4]
[1,5,6,7,3,4,2]=>[-6,1,7,3,4,-5,2]
[1,5,6,7,4,2,3]=>[-6,1,7,-5,4,2,3]
[1,5,6,7,4,3,2]=>[1,4,3,-7,-6,-5,2]
[1,5,7,2,3,4,6]=>[5,1,2,3,7,4,6]
[1,5,7,2,6,4,3]=>[1,-6,4,2,-7,-5,3]
[1,5,7,3,2,6,4]=>[1,-6,3,-7,2,-5,4]
[1,5,7,3,4,6,2]=>[-3,1,7,4,6,-5,2]
[1,5,7,3,6,4,2]=>[1,-6,3,4,-7,-5,2]
[1,5,7,4,2,6,3]=>[1,-4,6,-7,2,-5,3]
[1,5,7,4,6,2,3]=>[-7,-5,1,4,6,2,3]
[1,5,7,6,2,3,4]=>[5,-7,1,2,6,3,4]
[1,5,7,6,2,4,3]=>[-6,1,-5,4,2,-7,3]
[1,5,7,6,3,2,4]=>[1,-6,-5,-7,3,2,4]
[1,5,7,6,3,4,2]=>[-6,1,-5,3,4,-7,2]
[1,5,7,6,4,2,3]=>[-6,1,-5,-7,4,2,3]
[1,5,7,6,4,3,2]=>[1,3,-4,-6,-5,-7,2]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]
[1,6,2,3,4,7,5]=>[7,1,2,3,4,-6,5]
[1,6,2,3,5,7,4]=>[5,1,2,3,7,-6,4]
[1,6,2,3,7,4,5]=>[7,1,2,-6,3,4,5]
[1,6,2,3,7,5,4]=>[-5,1,2,3,-7,-6,4]
[1,6,2,4,7,5,3]=>[-4,1,2,5,-7,-6,3]
[1,6,2,7,3,4,5]=>[7,-6,1,2,3,4,5]
[1,6,2,7,5,4,3]=>[1,-4,2,-5,-7,-6,3]
[1,6,3,2,4,7,5]=>[1,-7,-3,2,4,-6,5]
[1,6,3,2,5,7,4]=>[1,-5,-3,2,7,-6,4]
[1,6,3,2,7,4,5]=>[1,-7,-3,-6,2,4,5]
[1,6,3,2,7,5,4]=>[1,-3,-5,2,-7,-6,4]
[1,6,3,4,2,7,5]=>[-3,1,4,-7,2,-6,5]
[1,6,3,4,5,7,2]=>[3,1,4,5,7,-6,2]
[1,6,3,4,7,2,5]=>[-3,1,-6,4,7,2,5]
[1,6,3,5,2,7,4]=>[-3,1,7,-5,2,-6,4]
[1,6,3,5,4,7,2]=>[-3,1,4,-5,7,-6,2]
[1,6,3,7,2,4,5]=>[-6,1,-3,2,7,4,5]
[1,6,3,7,2,5,4]=>[1,-7,-3,5,2,-6,4]
[1,6,3,7,4,2,5]=>[1,-3,-7,-6,4,2,5]
[1,6,3,7,4,5,2]=>[-3,1,-7,4,5,-6,2]
[1,6,3,7,5,2,4]=>[1,-7,-3,-6,5,2,4]
[1,6,4,2,3,7,5]=>[-4,-7,1,2,3,-6,5]
[1,6,4,5,3,7,2]=>[-5,1,3,-4,7,-6,2]
[1,6,5,4,3,7,2]=>[1,-3,-4,-5,7,-6,2]
[1,6,5,4,7,3,2]=>[1,-7,-4,3,-5,-6,2]
[1,6,5,7,4,3,2]=>[1,-4,3,-7,-5,-6,2]
[1,6,7,2,3,4,5]=>[1,6,2,3,7,4,5]
[1,6,7,2,5,3,4]=>[7,1,2,-6,5,3,4]
[1,6,7,3,2,4,5]=>[-7,-6,1,3,2,4,5]
[1,6,7,3,4,2,5]=>[7,1,3,-6,4,2,5]
[1,6,7,3,4,5,2]=>[3,1,7,4,5,-6,2]
[1,6,7,3,5,2,4]=>[7,1,-6,3,5,2,4]
[1,6,7,4,2,3,5]=>[7,-6,1,4,2,3,5]
[1,6,7,4,3,2,5]=>[1,3,-7,-6,-4,2,5]
[1,6,7,4,5,2,3]=>[7,-6,1,4,5,2,3]
[1,6,7,4,5,3,2]=>[-4,1,5,3,-7,-6,2]
[1,6,7,5,2,3,4]=>[7,-6,1,2,5,3,4]
[1,6,7,5,3,2,4]=>[1,-5,-7,-6,3,2,4]
[1,6,7,5,3,4,2]=>[-5,1,-7,3,4,-6,2]
[1,6,7,5,4,2,3]=>[-5,1,-7,-6,4,2,3]
[1,6,7,5,4,3,2]=>[1,3,-4,-5,-7,-6,2]
[1,7,2,3,4,5,6]=>[1,2,7,3,4,5,6]
[1,7,2,3,4,6,5]=>[1,6,2,3,4,-7,5]
[1,7,2,3,6,5,4]=>[5,1,2,3,-6,-7,4]
[1,7,2,4,5,6,3]=>[1,4,2,5,6,-7,3]
[1,7,2,5,6,3,4]=>[1,5,-7,2,6,3,4]
[1,7,3,2,4,5,6]=>[7,1,-3,2,4,5,6]
[1,7,3,2,4,6,5]=>[-6,1,-3,2,4,-7,5]
[1,7,3,2,5,6,4]=>[-5,1,-3,2,6,-7,4]
[1,7,3,2,6,4,5]=>[-6,1,-3,-7,2,4,5]
[1,7,3,4,2,5,6]=>[-3,-7,1,4,2,5,6]
[1,7,3,4,2,6,5]=>[-3,1,-6,4,2,-7,5]
[1,7,3,4,5,2,6]=>[3,1,4,-7,5,2,6]
[1,7,3,4,5,6,2]=>[1,3,4,5,6,-7,2]
[1,7,3,5,2,4,6]=>[-7,-3,1,5,2,4,6]
[1,7,3,5,6,4,2]=>[3,1,6,4,-5,-7,2]
[1,7,3,6,2,5,4]=>[-3,-6,1,5,2,-7,4]
[1,7,3,6,5,4,2]=>[-3,1,4,-5,-6,-7,2]
[1,7,4,2,3,5,6]=>[7,-4,1,2,3,5,6]
[1,7,4,2,3,6,5]=>[-6,-4,1,2,3,-7,5]
[1,7,4,2,6,3,5]=>[-6,-7,1,2,-4,3,5]
[1,7,4,2,6,5,3]=>[1,-5,-6,2,-4,-7,3]
[1,7,4,3,2,6,5]=>[1,-3,-6,-4,2,-7,5]
[1,7,4,3,6,5,2]=>[1,-3,-6,5,-4,-7,2]
[1,7,4,5,2,3,6]=>[-7,4,1,5,2,3,6]
[1,7,4,5,2,6,3]=>[-5,1,-4,6,2,-7,3]
[1,7,4,5,3,6,2]=>[-5,1,-4,3,6,-7,2]
[1,7,4,5,6,2,3]=>[1,-7,4,5,6,2,3]
[1,7,4,5,6,3,2]=>[5,1,6,3,-4,-7,2]
[1,7,4,6,2,5,3]=>[-6,-4,1,5,2,-7,3]
[1,7,4,6,5,3,2]=>[-5,1,3,-4,-6,-7,2]
[1,7,5,2,3,4,6]=>[7,5,1,2,3,4,6]
[1,7,5,2,4,6,3]=>[-4,-7,1,2,6,-5,3]
[1,7,5,3,2,4,6]=>[1,-7,-5,-3,2,4,6]
[1,7,5,3,2,6,4]=>[1,-3,-6,-7,2,-5,4]
[1,7,5,4,3,6,2]=>[1,-3,-4,-7,6,-5,2]
[1,7,5,4,6,3,2]=>[1,-6,-4,3,-7,-5,2]
[1,7,5,6,2,3,4]=>[7,5,1,2,6,3,4]
[1,7,5,6,3,2,4]=>[6,1,-5,-7,3,2,4]
[1,7,5,6,3,4,2]=>[6,-5,1,3,4,-7,2]
[1,7,5,6,4,2,3]=>[6,-5,1,-7,4,2,3]
[1,7,5,6,4,3,2]=>[-4,1,3,-6,-5,-7,2]
[1,7,6,2,3,4,5]=>[7,1,6,2,3,4,5]
[1,7,6,2,5,4,3]=>[-4,-5,1,2,-6,-7,3]
[1,7,6,3,2,4,5]=>[-6,-7,1,-3,2,4,5]
[1,7,6,3,2,5,4]=>[1,-5,-6,-3,2,-7,4]
[1,7,6,3,4,2,5]=>[-6,-3,1,-7,4,2,5]
[1,7,6,3,4,5,2]=>[-6,3,1,4,5,-7,2]
[1,7,6,3,5,4,2]=>[-3,-5,1,4,-6,-7,2]
[1,7,6,4,2,3,5]=>[-6,-7,-4,1,2,3,5]
[1,7,6,4,5,2,3]=>[-6,4,-7,1,5,2,3]
[1,7,6,4,5,3,2]=>[-5,-4,1,3,-6,-7,2]
[1,7,6,5,2,3,4]=>[-6,-7,5,1,2,3,4]
[1,7,6,5,2,4,3]=>[-4,-5,-6,1,2,-7,3]
[1,7,6,5,3,2,4]=>[1,-5,-6,-7,-3,2,4]
[1,7,6,5,3,4,2]=>[-3,-5,-6,1,4,-7,2]
[1,7,6,5,4,2,3]=>[-4,-5,-6,-7,1,2,3]
[1,7,6,5,4,3,2]=>[1,-3,-4,-5,-6,-7,2]
[2,1,3,4,5,6,7]=>[-2,1,3,4,5,6,7]
[2,1,3,4,5,7,6]=>[-2,1,3,4,5,-7,6]
[2,1,3,4,6,7,5]=>[-2,1,3,4,7,-6,5]
[2,1,3,4,7,5,6]=>[-2,1,3,-7,4,5,6]
[2,1,3,5,4,6,7]=>[-2,1,3,-5,4,6,7]
[2,1,3,5,7,6,4]=>[-2,1,3,6,-5,-7,4]
[2,1,3,6,4,7,5]=>[-2,1,3,-7,4,-6,5]
[2,1,3,6,7,4,5]=>[-2,1,-6,3,7,4,5]
[2,1,3,7,4,5,6]=>[-2,-7,1,3,4,5,6]
[2,1,3,7,5,4,6]=>[-2,1,3,-7,-5,4,6]
[2,1,3,7,6,4,5]=>[-2,1,-6,-7,3,4,5]
[2,1,3,7,6,5,4]=>[-2,1,3,-5,-6,-7,4]
[2,1,4,3,6,5,7]=>[-2,1,-4,3,-6,5,7]
[2,1,4,5,6,3,7]=>[-2,1,5,6,-4,3,7]
[2,1,4,7,3,5,6]=>[-2,1,-4,3,7,5,6]
[2,1,4,7,3,6,5]=>[-2,1,-4,6,3,-7,5]
[2,1,4,7,5,3,6]=>[-2,1,5,-7,-4,3,6]
[2,1,4,7,5,6,3]=>[-2,1,-4,5,6,-7,3]
[2,1,4,7,6,5,3]=>[-2,1,5,-4,-6,-7,3]
[2,1,5,3,4,7,6]=>[-2,-5,1,3,4,-7,6]
[2,1,5,6,4,3,7]=>[-2,1,4,-6,-5,3,7]
[2,1,5,6,7,3,4]=>[-2,-5,1,6,7,3,4]
[2,1,6,3,4,5,7]=>[-6,-2,1,3,4,5,7]
[2,1,6,3,4,7,5]=>[-2,-7,1,3,4,-6,5]
[2,1,6,3,7,4,5]=>[-2,-7,1,-6,3,4,5]
[2,1,6,4,5,3,7]=>[-2,-4,1,5,-6,3,7]
[2,1,6,5,3,4,7]=>[-2,-5,-6,1,3,4,7]
[2,1,6,5,4,3,7]=>[-2,1,-4,-5,-6,3,7]
[2,1,6,5,7,3,4]=>[-2,-5,-6,1,7,3,4]
[2,1,6,7,3,4,5]=>[-6,-2,1,3,7,4,5]
[2,1,6,7,4,3,5]=>[-2,1,-7,-6,4,3,5]
[2,1,6,7,5,3,4]=>[-2,-7,1,-6,5,3,4]
[2,1,7,3,4,5,6]=>[7,-2,1,3,4,5,6]
[2,1,7,3,4,6,5]=>[-6,-2,1,3,4,-7,5]
[2,1,7,3,5,4,6]=>[-2,-5,1,-7,3,4,6]
[2,1,7,3,6,4,5]=>[-6,-2,1,-7,3,4,5]
[2,1,7,3,6,5,4]=>[-2,-5,1,3,-6,-7,4]
[2,1,7,5,3,4,6]=>[-2,-7,-5,1,3,4,6]
[2,1,7,6,3,5,4]=>[-2,-5,-6,1,3,-7,4]
[2,1,7,6,5,3,4]=>[-2,-5,-6,-7,1,3,4]
[2,1,7,6,5,4,3]=>[-2,1,-4,-5,-6,-7,3]
[2,3,1,4,5,6,7]=>[3,-2,1,4,5,6,7]
[2,3,1,4,5,7,6]=>[3,-2,1,4,5,-7,6]
[2,3,1,4,6,5,7]=>[3,-2,1,4,-6,5,7]
[2,3,1,4,6,7,5]=>[3,-2,1,4,7,-6,5]
[2,3,1,4,7,5,6]=>[3,-2,1,-7,4,5,6]
[2,3,1,4,7,6,5]=>[3,-2,1,4,-6,-7,5]
[2,3,1,5,4,7,6]=>[3,-2,1,-5,4,-7,6]
[2,3,1,5,7,4,6]=>[3,-2,1,-5,7,4,6]
[2,3,1,6,4,5,7]=>[3,-2,-6,1,4,5,7]
[2,3,1,6,4,7,5]=>[3,-2,1,-7,4,-6,5]
[2,3,1,6,7,4,5]=>[3,-2,-6,1,7,4,5]
[2,3,1,7,4,5,6]=>[3,-7,-2,1,4,5,6]
[2,3,1,7,4,6,5]=>[3,-2,-6,1,4,-7,5]
[2,3,1,7,5,6,4]=>[3,-2,-5,1,6,-7,4]
[2,3,4,1,5,6,7]=>[3,4,-2,1,5,6,7]
[2,3,4,1,5,7,6]=>[3,4,-2,1,5,-7,6]
[2,3,4,1,7,5,6]=>[3,4,-2,-7,1,5,6]
[2,3,4,1,7,6,5]=>[3,4,-2,1,-6,-7,5]
[2,3,4,5,1,6,7]=>[3,4,5,-2,1,6,7]
[2,3,4,5,1,7,6]=>[3,4,5,-2,1,-7,6]
[2,3,4,5,6,1,7]=>[3,4,5,6,-2,1,7]
[2,3,4,5,6,7,1]=>[3,4,5,6,7,-2,1]
[2,3,4,5,7,1,6]=>[3,4,5,-2,7,1,6]
[2,3,4,5,7,6,1]=>[3,4,5,6,-2,-7,1]
[2,3,4,6,1,7,5]=>[3,4,7,-2,1,-6,5]
[2,3,4,6,5,7,1]=>[3,4,5,-2,7,-6,1]
[2,3,4,6,7,1,5]=>[3,4,-2,6,7,1,5]
[2,3,4,6,7,5,1]=>[3,4,7,5,-2,-6,1]
[2,3,4,7,1,5,6]=>[3,4,-2,1,7,5,6]
[2,3,4,7,1,6,5]=>[3,4,-2,6,1,-7,5]
[2,3,4,7,5,6,1]=>[3,4,-2,5,6,-7,1]
[2,3,4,7,6,1,5]=>[3,4,-2,-7,6,1,5]
[2,3,4,7,6,5,1]=>[3,4,5,-2,-6,-7,1]
[2,3,5,1,6,7,4]=>[3,6,-2,1,7,-5,4]
[2,3,5,1,7,4,6]=>[3,-2,7,1,-5,4,6]
[2,3,5,1,7,6,4]=>[3,6,-2,1,-5,-7,4]
[2,3,5,4,6,7,1]=>[3,4,-2,6,7,-5,1]
[2,3,5,4,7,6,1]=>[3,4,-2,6,-5,-7,1]
[2,3,5,6,1,7,4]=>[3,6,7,-2,1,-5,4]
[2,3,5,6,4,7,1]=>[3,6,4,-2,7,-5,1]
[2,3,5,6,7,1,4]=>[3,-2,5,6,7,1,4]
[2,3,5,6,7,4,1]=>[3,6,7,4,-2,-5,1]
[2,3,5,7,1,4,6]=>[3,-2,5,1,7,4,6]
[2,3,5,7,1,6,4]=>[3,7,-2,6,1,-5,4]
[2,3,5,7,4,1,6]=>[3,4,7,-2,-5,1,6]
[2,3,5,7,6,1,4]=>[3,-2,5,-7,6,1,4]
[2,3,5,7,6,4,1]=>[3,6,4,-2,-5,-7,1]
[2,3,6,1,4,5,7]=>[3,-2,1,6,4,5,7]
[2,3,6,1,4,7,5]=>[3,-2,7,1,4,-6,5]
[2,3,6,1,7,4,5]=>[3,-2,7,-6,1,4,5]
[2,3,6,1,7,5,4]=>[3,5,-2,1,-7,-6,4]
[2,3,6,4,5,7,1]=>[3,-2,4,5,7,-6,1]
[2,3,6,4,7,5,1]=>[3,4,-2,5,-7,-6,1]
[2,3,6,5,1,7,4]=>[3,7,-2,-5,1,-6,4]
[2,3,6,5,4,7,1]=>[3,4,-2,-5,7,-6,1]
[2,3,6,5,7,1,4]=>[3,-2,-6,5,7,1,4]
[2,3,6,5,7,4,1]=>[3,7,-2,4,-5,-6,1]
[2,3,6,7,1,4,5]=>[3,-2,1,6,7,4,5]
[2,3,6,7,4,5,1]=>[3,-2,7,4,5,-6,1]
[2,3,6,7,5,1,4]=>[3,-2,7,-6,5,1,4]
[2,3,6,7,5,4,1]=>[3,5,4,-2,-7,-6,1]
[2,3,7,1,4,5,6]=>[3,-2,1,4,7,5,6]
[2,3,7,1,4,6,5]=>[3,-2,1,6,4,-7,5]
[2,3,7,1,5,4,6]=>[3,-2,5,-7,1,4,6]
[2,3,7,1,5,6,4]=>[3,-2,1,5,6,-7,4]
[2,3,7,1,6,4,5]=>[3,-2,1,-7,6,4,5]
[2,3,7,4,5,6,1]=>[-2,3,4,5,6,-7,1]
[2,3,7,4,6,1,5]=>[3,-2,-7,4,6,1,5]
[2,3,7,4,6,5,1]=>[3,-2,4,5,-6,-7,1]
[2,3,7,5,1,4,6]=>[3,-7,-2,5,1,4,6]
[2,3,7,5,4,1,6]=>[3,4,-2,-7,-5,1,6]
[2,3,7,5,4,6,1]=>[3,4,-2,-7,6,-5,1]
[2,3,7,5,6,1,4]=>[3,-7,-2,5,6,1,4]
[2,3,7,5,6,4,1]=>[3,-2,6,4,-5,-7,1]
[2,3,7,6,1,4,5]=>[3,-7,-2,1,6,4,5]
[2,3,7,6,5,1,4]=>[3,-2,-6,-7,5,1,4]
[2,3,7,6,5,4,1]=>[3,4,-2,-5,-6,-7,1]
[2,4,1,3,5,6,7]=>[-2,4,1,3,5,6,7]
[2,4,1,3,6,5,7]=>[-2,4,1,3,-6,5,7]
[2,4,1,3,7,5,6]=>[-2,4,1,-7,3,5,6]
[2,4,1,3,7,6,5]=>[-2,4,1,3,-6,-7,5]
[2,4,1,5,3,6,7]=>[5,-2,1,-4,3,6,7]
[2,4,1,5,3,7,6]=>[5,-2,1,-4,3,-7,6]
[2,4,1,5,6,3,7]=>[5,-2,1,6,-4,3,7]
[2,4,1,5,6,7,3]=>[5,-2,1,6,7,-4,3]
[2,4,1,5,7,3,6]=>[5,-2,1,-4,7,3,6]
[2,4,1,6,3,5,7]=>[-2,6,1,-4,3,5,7]
[2,4,1,6,3,7,5]=>[7,-2,1,-4,3,-6,5]
[2,4,1,6,7,3,5]=>[-2,6,1,-4,7,3,5]
[2,4,1,6,7,5,3]=>[7,-2,1,5,-4,-6,3]
[2,4,1,7,3,5,6]=>[-2,1,7,-4,3,5,6]
[2,4,1,7,3,6,5]=>[-2,6,1,-4,3,-7,5]
[2,4,1,7,6,3,5]=>[-2,6,1,-7,-4,3,5]
[2,4,3,1,7,6,5]=>[3,-2,-4,1,-6,-7,5]
[2,4,3,5,6,7,1]=>[3,-2,5,6,7,-4,1]
[2,4,3,5,7,6,1]=>[3,-2,5,6,-4,-7,1]
[2,4,3,6,5,7,1]=>[3,-2,5,-4,7,-6,1]
[2,4,3,6,7,1,5]=>[3,-2,-4,6,7,1,5]
[2,4,3,6,7,5,1]=>[3,-2,7,5,-4,-6,1]
[2,4,3,7,5,6,1]=>[3,-2,-4,5,6,-7,1]
[2,4,3,7,6,5,1]=>[3,-2,5,-4,-6,-7,1]
[2,4,5,1,6,3,7]=>[5,6,-2,1,-4,3,7]
[2,4,5,1,6,7,3]=>[5,6,-2,1,7,-4,3]
[2,4,5,1,7,3,6]=>[5,-2,7,1,-4,3,6]
[2,4,5,1,7,6,3]=>[5,6,-2,1,-4,-7,3]
[2,4,5,3,6,7,1]=>[5,3,-2,6,7,-4,1]
[2,4,5,3,7,1,6]=>[5,3,-2,-4,7,1,6]
[2,4,5,3,7,6,1]=>[5,3,-2,6,-4,-7,1]
[2,4,5,6,1,3,7]=>[-2,4,5,6,1,3,7]
[2,4,5,6,1,7,3]=>[5,6,7,-2,1,-4,3]
[2,4,5,6,3,7,1]=>[5,6,3,-2,7,-4,1]
[2,4,5,6,7,1,3]=>[-2,4,5,6,7,1,3]
[2,4,5,6,7,3,1]=>[5,6,7,3,-2,-4,1]
[2,4,5,7,1,3,6]=>[-2,4,5,1,7,3,6]
[2,4,5,7,3,1,6]=>[5,3,7,-2,-4,1,6]
[2,4,5,7,6,1,3]=>[-2,4,5,-7,6,1,3]
[2,4,5,7,6,3,1]=>[5,6,3,-2,-4,-7,1]
[2,4,6,1,3,5,7]=>[-2,4,1,6,3,5,7]
[2,4,6,1,3,7,5]=>[-2,4,7,1,3,-6,5]
[2,4,6,1,5,7,3]=>[6,-2,5,1,7,-4,3]
[2,4,6,1,7,3,5]=>[-2,6,7,1,-4,3,5]
[2,4,6,3,1,7,5]=>[7,3,-2,-4,1,-6,5]
[2,4,6,3,7,5,1]=>[7,3,-2,5,-4,-6,1]
[2,4,6,5,3,7,1]=>[5,3,-2,-4,7,-6,1]
[2,4,6,5,7,3,1]=>[5,7,-2,3,-4,-6,1]
[2,4,6,7,1,3,5]=>[-2,4,1,6,7,3,5]
[2,4,6,7,1,5,3]=>[6,-2,7,5,1,-4,3]
[2,4,6,7,3,5,1]=>[6,-2,7,3,5,-4,1]
[2,4,6,7,5,3,1]=>[7,5,3,-2,-4,-6,1]
[2,4,7,1,3,5,6]=>[-2,4,1,3,7,5,6]
[2,4,7,1,5,3,6]=>[-2,7,5,1,-4,3,6]
[2,4,7,1,5,6,3]=>[7,-2,1,5,6,-4,3]
[2,4,7,1,6,3,5]=>[-2,7,1,6,-4,3,5]
[2,4,7,3,1,5,6]=>[3,-2,7,-4,1,5,6]
[2,4,7,3,6,1,5]=>[-2,7,3,-4,6,1,5]
[2,4,7,6,5,1,3]=>[-2,4,-6,-7,5,1,3]
[2,4,7,6,5,3,1]=>[5,3,-2,-4,-6,-7,1]
[2,5,1,3,4,6,7]=>[-2,1,5,3,4,6,7]
[2,5,1,3,6,7,4]=>[-2,6,1,3,7,-5,4]
[2,5,1,3,7,4,6]=>[-2,1,7,3,-5,4,6]
[2,5,1,3,7,6,4]=>[-2,6,1,3,-5,-7,4]
[2,5,1,4,7,6,3]=>[-2,4,1,6,-5,-7,3]
[2,5,1,6,3,7,4]=>[7,-2,1,-6,3,-5,4]
[2,5,1,6,4,7,3]=>[4,-2,1,-6,7,-5,3]
[2,5,1,6,7,3,4]=>[-2,6,-5,1,7,3,4]
[2,5,1,6,7,4,3]=>[7,-2,1,4,-6,-5,3]
[2,5,1,7,3,4,6]=>[-2,-5,7,1,3,4,6]
[2,5,1,7,3,6,4]=>[-2,6,1,-7,3,-5,4]
[2,5,1,7,4,3,6]=>[4,-2,-7,1,-5,3,6]
[2,5,1,7,6,3,4]=>[-2,6,-5,-7,1,3,4]
[2,5,1,7,6,4,3]=>[4,-2,1,-6,-5,-7,3]
[2,5,3,1,7,4,6]=>[3,-7,-2,1,-5,4,6]
[2,5,3,1,7,6,4]=>[3,-2,-6,1,-5,-7,4]
[2,5,3,4,6,7,1]=>[-2,3,4,6,7,-5,1]
[2,5,3,4,7,6,1]=>[-2,3,4,6,-5,-7,1]
[2,5,3,6,4,7,1]=>[3,-2,4,-6,7,-5,1]
[2,5,3,6,7,1,4]=>[3,-5,-2,6,7,1,4]
[2,5,3,6,7,4,1]=>[3,-2,7,4,-6,-5,1]
[2,5,3,7,6,1,4]=>[3,-5,-2,-7,6,1,4]
[2,5,4,1,6,7,3]=>[6,-2,-4,1,7,-5,3]
[2,5,4,1,7,3,6]=>[-2,7,-4,1,-5,3,6]
[2,5,4,3,6,7,1]=>[3,-2,-4,6,7,-5,1]
[2,5,4,3,7,1,6]=>[3,-2,-4,-5,7,1,6]
[2,5,4,3,7,6,1]=>[3,-2,-4,6,-5,-7,1]
[2,5,4,6,3,7,1]=>[6,-2,3,-4,7,-5,1]
[2,5,4,6,7,1,3]=>[-2,-5,4,6,7,1,3]
[2,5,4,6,7,3,1]=>[6,-2,7,3,-4,-5,1]
[2,5,4,7,1,3,6]=>[-2,-5,4,1,7,3,6]
[2,5,4,7,6,1,3]=>[-2,-5,4,-7,6,1,3]
[2,5,4,7,6,3,1]=>[6,-2,3,-4,-5,-7,1]
[2,5,6,1,3,7,4]=>[-2,6,7,1,3,-5,4]
[2,5,6,1,4,7,3]=>[-2,6,4,1,7,-5,3]
[2,5,6,1,7,3,4]=>[-2,6,7,-5,1,3,4]
[2,5,6,3,4,7,1]=>[-2,6,3,4,7,-5,1]
[2,5,6,3,7,4,1]=>[7,3,-2,4,-6,-5,1]
[2,5,6,4,3,7,1]=>[4,3,-2,-6,7,-5,1]
[2,5,6,4,7,1,3]=>[-2,6,-5,4,7,1,3]
[2,5,6,4,7,3,1]=>[4,7,-2,3,-6,-5,1]
[2,5,6,7,1,3,4]=>[-2,1,5,6,7,3,4]
[2,5,6,7,3,1,4]=>[3,6,7,-5,-2,1,4]
[2,5,6,7,4,3,1]=>[7,4,3,-2,-6,-5,1]
[2,5,7,1,3,4,6]=>[-2,1,5,3,7,4,6]
[2,5,7,1,4,6,3]=>[-2,7,1,4,6,-5,3]
[2,5,7,3,1,4,6]=>[3,-5,7,-2,1,4,6]
[2,5,7,3,4,1,6]=>[-2,3,7,4,-5,1,6]
[2,5,7,3,6,1,4]=>[-2,7,-5,3,6,1,4]
[2,5,7,6,4,1,3]=>[-2,6,-5,-7,4,1,3]
[2,5,7,6,4,3,1]=>[4,3,-2,-6,-5,-7,1]
[2,6,1,3,4,5,7]=>[-2,1,3,6,4,5,7]
[2,6,1,3,4,7,5]=>[-2,1,7,3,4,-6,5]
[2,6,1,3,7,4,5]=>[-2,1,7,-6,3,4,5]
[2,6,1,3,7,5,4]=>[-2,5,1,3,-7,-6,4]
[2,6,1,5,3,7,4]=>[-2,7,1,-5,3,-6,4]
[2,6,1,5,7,4,3]=>[-2,7,1,4,-5,-6,3]
[2,6,1,7,3,4,5]=>[-6,-2,7,1,3,4,5]
[2,6,1,7,4,5,3]=>[-2,4,-7,1,5,-6,3]
[2,6,3,1,7,4,5]=>[3,-7,-2,-6,1,4,5]
[2,6,3,4,5,7,1]=>[2,3,4,5,7,-6,1]
[2,6,3,5,4,7,1]=>[-2,3,4,-5,7,-6,1]
[2,6,3,5,7,1,4]=>[-2,-6,3,5,7,1,4]
[2,6,3,7,1,4,5]=>[-6,3,-2,1,7,4,5]
[2,6,3,7,4,1,5]=>[3,-2,-7,-6,4,1,5]
[2,6,3,7,4,5,1]=>[-2,3,-7,4,5,-6,1]
[2,6,4,1,3,7,5]=>[-2,-7,4,1,3,-6,5]
[2,6,4,1,7,3,5]=>[-2,7,-4,-6,1,3,5]
[2,6,4,3,5,7,1]=>[3,-2,-6,5,7,-4,1]
[2,6,4,5,1,7,3]=>[-2,5,7,-4,1,-6,3]
[2,6,4,5,3,7,1]=>[-2,5,3,-4,7,-6,1]
[2,6,4,5,7,3,1]=>[-2,5,7,3,-4,-6,1]
[2,6,4,7,3,5,1]=>[7,-2,-6,3,5,-4,1]
[2,6,4,7,5,3,1]=>[5,-2,3,-4,-7,-6,1]
[2,6,5,1,3,7,4]=>[-2,-5,7,1,3,-6,4]
[2,6,5,1,7,3,4]=>[-2,-5,7,-6,1,3,4]
[2,6,5,4,3,1,7]=>[3,-2,-4,-5,-6,1,7]
[2,6,5,4,3,7,1]=>[3,-2,-4,-5,7,-6,1]
[2,6,5,4,7,3,1]=>[7,-2,-4,3,-5,-6,1]
[2,6,5,7,1,3,4]=>[-6,-2,1,5,7,3,4]
[2,6,5,7,4,3,1]=>[4,-2,3,-7,-5,-6,1]
[2,6,7,1,3,4,5]=>[-2,1,3,6,7,4,5]
[2,6,7,1,4,5,3]=>[-2,1,7,4,5,-6,3]
[2,6,7,1,5,3,4]=>[-2,1,7,-6,5,3,4]
[2,6,7,3,4,5,1]=>[2,3,7,4,5,-6,1]
[2,6,7,4,3,1,5]=>[4,3,-7,-6,-2,1,5]
[2,6,7,4,3,5,1]=>[4,-2,-7,3,5,-6,1]
[2,6,7,5,4,3,1]=>[4,3,-2,-5,-7,-6,1]
[2,7,1,3,4,5,6]=>[-2,1,3,4,7,5,6]
[2,7,1,3,4,6,5]=>[-2,1,3,6,4,-7,5]
[2,7,1,3,6,4,5]=>[-2,1,3,-7,6,4,5]
[2,7,1,4,5,3,6]=>[-2,1,4,-7,5,3,6]
[2,7,1,5,3,4,6]=>[-2,-7,1,5,3,4,6]
[2,7,1,5,4,3,6]=>[-2,4,1,-7,-5,3,6]
[2,7,1,5,6,3,4]=>[-2,-7,1,5,6,3,4]
[2,7,1,6,3,4,5]=>[-2,-7,1,3,6,4,5]
[2,7,1,6,5,4,3]=>[-2,4,1,-5,-6,-7,3]
[2,7,3,1,4,6,5]=>[-6,3,-2,1,4,-7,5]
[2,7,3,4,1,5,6]=>[-2,-7,3,4,1,5,6]
[2,7,3,4,1,6,5]=>[-2,3,-6,4,1,-7,5]
[2,7,3,4,5,6,1]=>[7,3,4,5,6,-2,1]
[2,7,3,4,6,1,5]=>[2,3,-7,4,6,1,5]
[2,7,3,4,6,5,1]=>[2,3,4,5,-6,-7,1]
[2,7,3,5,4,6,1]=>[-2,3,-5,4,6,-7,1]
[2,7,3,5,6,4,1]=>[2,3,6,4,-5,-7,1]
[2,7,3,6,1,4,5]=>[-7,-2,3,1,6,4,5]
[2,7,3,6,5,1,4]=>[-2,-6,3,-7,5,1,4]
[2,7,3,6,5,4,1]=>[-2,3,4,-5,-6,-7,1]
[2,7,4,1,3,5,6]=>[7,-2,4,1,3,5,6]
[2,7,4,1,5,3,6]=>[5,-4,-2,-7,1,3,6]
[2,7,4,1,6,3,5]=>[-4,6,-2,-7,1,3,5]
[2,7,4,3,5,1,6]=>[3,-7,-2,5,-4,1,6]
[2,7,4,3,5,6,1]=>[-2,3,-7,5,6,-4,1]
[2,7,4,3,6,1,5]=>[3,-7,-2,-4,6,1,5]
[2,7,4,3,6,5,1]=>[3,-2,-6,5,-4,-7,1]
[2,7,4,5,1,3,6]=>[7,-2,4,5,1,3,6]
[2,7,4,5,3,1,6]=>[-2,5,3,-7,-4,1,6]
[2,7,4,5,3,6,1]=>[-2,5,-4,3,6,-7,1]
[2,7,4,5,6,1,3]=>[-7,2,4,5,6,1,3]
[2,7,4,5,6,3,1]=>[2,5,6,3,-4,-7,1]
[2,7,4,6,1,3,5]=>[7,-2,4,1,6,3,5]
[2,7,4,6,5,1,3]=>[-6,-2,4,-7,5,1,3]
[2,7,4,6,5,3,1]=>[-2,5,3,-4,-6,-7,1]
[2,7,5,1,3,4,6]=>[7,-2,1,5,3,4,6]
[2,7,5,1,6,3,4]=>[5,6,-2,-7,1,3,4]
[2,7,5,3,4,1,6]=>[-2,-5,3,-7,4,1,6]
[2,7,5,4,3,6,1]=>[3,-2,-4,-7,6,-5,1]
[2,7,5,4,6,3,1]=>[6,-2,-4,3,-7,-5,1]
[2,7,6,1,3,4,5]=>[7,-2,1,3,6,4,5]
[2,7,6,1,4,3,5]=>[-6,-2,4,-7,1,3,5]
[2,7,6,1,5,4,3]=>[-2,-5,4,1,-6,-7,3]
[2,7,6,3,1,4,5]=>[-6,-7,3,-2,1,4,5]
[2,7,6,3,5,1,4]=>[-6,-2,-7,3,5,1,4]
[2,7,6,4,5,3,1]=>[-2,-4,5,3,-6,-7,1]
[2,7,6,5,1,3,4]=>[-6,-7,-2,1,5,3,4]
[2,7,6,5,1,4,3]=>[-2,-5,-6,4,1,-7,3]
[2,7,6,5,4,1,3]=>[-2,-5,-6,-7,4,1,3]
[2,7,6,5,4,3,1]=>[3,-2,-4,-5,-6,-7,1]
[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[3,1,2,4,5,7,6]=>[3,1,2,4,5,-7,6]
[3,1,2,4,6,7,5]=>[3,1,2,4,7,-6,5]
[3,1,2,4,7,5,6]=>[3,1,2,-7,4,5,6]
[3,1,2,6,4,5,7]=>[3,1,-6,2,4,5,7]
[3,1,2,6,4,7,5]=>[3,1,2,-7,4,-6,5]
[3,1,2,6,7,4,5]=>[3,1,-6,2,7,4,5]
[3,1,2,7,4,5,6]=>[3,-7,1,2,4,5,6]
[3,1,2,7,6,4,5]=>[3,1,-6,-7,2,4,5]
[3,1,2,7,6,5,4]=>[3,1,2,-5,-6,-7,4]
[3,1,4,2,5,7,6]=>[-4,1,-3,2,5,-7,6]
[3,1,4,2,6,7,5]=>[-4,1,-3,2,7,-6,5]
[3,1,4,5,2,7,6]=>[-4,1,5,-3,2,-7,6]
[3,1,4,5,6,7,2]=>[-4,1,5,6,7,-3,2]
[3,1,4,5,7,2,6]=>[-4,1,5,-3,7,2,6]
[3,1,4,6,2,7,5]=>[-4,1,7,-3,2,-6,5]
[3,1,4,6,7,2,5]=>[-4,1,-3,6,7,2,5]
[3,1,4,6,7,5,2]=>[-4,1,7,5,-3,-6,2]
[3,1,4,7,2,5,6]=>[-4,1,-3,2,7,5,6]
[3,1,4,7,2,6,5]=>[-4,1,-3,6,2,-7,5]
[3,1,4,7,5,6,2]=>[-4,1,-3,5,6,-7,2]
[3,1,4,7,6,2,5]=>[-4,1,-3,-7,6,2,5]
[3,1,5,2,4,6,7]=>[5,1,-3,2,4,6,7]
[3,1,5,2,4,7,6]=>[5,1,-3,2,4,-7,6]
[3,1,5,2,6,7,4]=>[-6,1,-3,2,7,-5,4]
[3,1,5,2,7,4,6]=>[7,1,-3,2,-5,4,6]
[3,1,5,2,7,6,4]=>[-6,1,-3,2,-5,-7,4]
[3,1,5,4,6,7,2]=>[-4,1,-3,6,7,-5,2]
[3,1,5,6,2,4,7]=>[5,1,-3,6,2,4,7]
[3,1,5,6,2,7,4]=>[-6,1,7,-3,2,-5,4]
[3,1,5,6,4,7,2]=>[-6,1,4,-3,7,-5,2]
[3,1,5,6,7,2,4]=>[5,1,-3,6,7,2,4]
[3,1,5,6,7,4,2]=>[-6,1,7,4,-3,-5,2]
[3,1,5,7,2,4,6]=>[5,1,-3,2,7,4,6]
[3,1,5,7,2,6,4]=>[-7,1,-3,6,2,-5,4]
[3,1,5,7,4,2,6]=>[7,1,4,-3,-5,2,6]
[3,1,5,7,6,2,4]=>[5,1,-3,-7,6,2,4]
[3,1,6,2,4,5,7]=>[1,6,-3,2,4,5,7]
[3,1,6,2,4,7,5]=>[7,1,-3,2,4,-6,5]
[3,1,6,2,5,7,4]=>[5,1,-3,2,7,-6,4]
[3,1,6,2,7,4,5]=>[7,1,-3,-6,2,4,5]
[3,1,6,2,7,5,4]=>[-5,1,-3,2,-7,-6,4]
[3,1,6,4,2,7,5]=>[-4,1,-3,-7,2,-6,5]
[3,1,6,4,5,7,2]=>[-4,-3,1,5,7,-6,2]
[3,1,6,5,2,7,4]=>[-7,1,-3,-5,2,-6,4]
[3,1,6,5,4,7,2]=>[-4,1,-3,-5,7,-6,2]
[3,1,6,7,2,4,5]=>[1,6,-3,2,7,4,5]
[3,1,6,7,2,5,4]=>[7,1,-3,5,2,-6,4]
[3,1,6,7,4,5,2]=>[-7,-3,1,4,5,-6,2]
[3,1,7,2,4,5,6]=>[1,-3,7,2,4,5,6]
[3,1,7,2,4,6,5]=>[1,6,-3,2,4,-7,5]
[3,1,7,2,5,6,4]=>[1,5,-3,2,6,-7,4]
[3,1,7,2,6,4,5]=>[1,6,-3,-7,2,4,5]
[3,1,7,4,2,5,6]=>[-4,-7,1,-3,2,5,6]
[3,1,7,4,2,6,5]=>[-4,1,-6,-3,2,-7,5]
[3,1,7,4,5,6,2]=>[-4,-7,1,5,6,-3,2]
[3,1,7,5,2,4,6]=>[5,-7,1,-3,2,4,6]
[3,1,7,5,2,6,4]=>[-6,1,-5,-3,2,-7,4]
[3,1,7,5,4,2,6]=>[-4,1,-3,-7,-5,2,6]
[3,1,7,5,6,2,4]=>[5,-3,-7,1,6,2,4]
[3,1,7,6,2,4,5]=>[1,-7,6,-3,2,4,5]
[3,1,7,6,2,5,4]=>[5,1,-6,-3,2,-7,4]
[3,1,7,6,4,2,5]=>[-4,1,-6,-7,-3,2,5]
[3,1,7,6,5,2,4]=>[5,1,-6,-7,-3,2,4]
[3,1,7,6,5,4,2]=>[-4,1,-3,-5,-6,-7,2]
[3,2,1,4,5,6,7]=>[-2,-3,1,4,5,6,7]
[3,2,1,5,4,6,7]=>[-2,-3,1,-5,4,6,7]
[3,2,4,1,5,6,7]=>[-2,4,-3,1,5,6,7]
[3,2,4,5,1,6,7]=>[-2,4,5,-3,1,6,7]
[3,2,4,5,6,1,7]=>[-2,4,5,6,-3,1,7]
[3,2,4,5,6,7,1]=>[-2,4,5,6,7,-3,1]
[3,2,4,5,7,6,1]=>[-2,4,5,6,-3,-7,1]
[3,2,4,6,1,7,5]=>[-2,4,7,-3,1,-6,5]
[3,2,4,6,5,7,1]=>[-2,4,5,-3,7,-6,1]
[3,2,4,6,7,1,5]=>[-2,4,-3,6,7,1,5]
[3,2,4,6,7,5,1]=>[-2,4,7,5,-3,-6,1]
[3,2,4,7,1,5,6]=>[-2,4,-3,1,7,5,6]
[3,2,4,7,5,6,1]=>[-2,4,-3,5,6,-7,1]
[3,2,4,7,6,5,1]=>[-2,4,5,-3,-6,-7,1]
[3,2,5,1,6,7,4]=>[-2,6,-3,1,7,-5,4]
[3,2,5,4,6,7,1]=>[-2,4,-3,6,7,-5,1]
[3,2,5,4,7,6,1]=>[-2,4,-3,6,-5,-7,1]
[3,2,5,6,1,7,4]=>[-2,6,7,-3,1,-5,4]
[3,2,5,6,4,7,1]=>[-2,6,4,-3,7,-5,1]
[3,2,5,6,7,1,4]=>[-2,-3,5,6,7,1,4]
[3,2,5,6,7,4,1]=>[-2,6,7,4,-3,-5,1]
[3,2,5,7,1,6,4]=>[-2,7,-3,6,1,-5,4]
[3,2,5,7,6,4,1]=>[-2,6,4,-3,-5,-7,1]
[3,2,6,1,4,5,7]=>[-2,-3,1,6,4,5,7]
[3,2,6,1,7,4,5]=>[-2,-3,7,-6,1,4,5]
[3,2,6,4,5,7,1]=>[-2,-3,4,5,7,-6,1]
[3,2,6,5,1,4,7]=>[-2,-3,-6,5,1,4,7]
[3,2,6,5,1,7,4]=>[-2,7,-3,-5,1,-6,4]
[3,2,6,5,4,1,7]=>[-2,4,-3,-5,-6,1,7]
[3,2,6,5,4,7,1]=>[-2,4,-3,-5,7,-6,1]
[3,2,6,5,7,1,4]=>[-2,-3,-6,5,7,1,4]
[3,2,6,5,7,4,1]=>[-2,7,-3,4,-5,-6,1]
[3,2,6,7,1,5,4]=>[-2,-3,7,5,1,-6,4]
[3,2,6,7,4,1,5]=>[-2,4,7,-6,-3,1,5]
[3,2,6,7,5,4,1]=>[-2,5,4,-3,-7,-6,1]
[3,2,7,4,5,6,1]=>[-2,-7,4,5,6,-3,1]
[3,2,7,4,6,5,1]=>[-2,-3,4,5,-6,-7,1]
[3,2,7,5,4,6,1]=>[-2,4,-3,-7,6,-5,1]
[3,2,7,5,6,1,4]=>[-2,-7,-3,5,6,1,4]
[3,2,7,5,6,4,1]=>[-2,-3,6,4,-5,-7,1]
[3,2,7,6,5,1,4]=>[-2,-3,-6,-7,5,1,4]
[3,2,7,6,5,4,1]=>[-2,4,-3,-5,-6,-7,1]
[3,4,1,2,5,6,7]=>[3,4,1,2,5,6,7]
[3,4,1,2,5,7,6]=>[3,4,1,2,5,-7,6]
[3,4,1,2,6,7,5]=>[3,4,1,2,7,-6,5]
[3,4,1,2,7,5,6]=>[3,4,1,-7,2,5,6]
[3,4,1,5,2,7,6]=>[5,-4,1,-3,2,-7,6]
[3,4,1,5,6,7,2]=>[5,-4,1,6,7,-3,2]
[3,4,1,5,7,2,6]=>[5,-4,1,-3,7,2,6]
[3,4,1,6,2,5,7]=>[-4,6,1,-3,2,5,7]
[3,4,1,6,2,7,5]=>[7,-4,1,-3,2,-6,5]
[3,4,1,6,5,7,2]=>[5,-4,1,-3,7,-6,2]
[3,4,1,6,7,2,5]=>[-4,6,1,-3,7,2,5]
[3,4,1,7,2,5,6]=>[-4,1,7,-3,2,5,6]
[3,4,1,7,2,6,5]=>[-4,6,1,-3,2,-7,5]
[3,4,1,7,5,6,2]=>[5,-4,-3,1,6,-7,2]
[3,4,1,7,6,2,5]=>[-4,6,1,-7,-3,2,5]
[3,4,2,1,5,6,7]=>[2,-4,-3,1,5,6,7]
[3,4,2,5,1,6,7]=>[2,-4,5,-3,1,6,7]
[3,4,2,5,6,1,7]=>[2,-4,5,6,-3,1,7]
[3,4,2,5,6,7,1]=>[2,-4,5,6,7,-3,1]
[3,4,2,5,7,1,6]=>[2,-4,5,-3,7,1,6]
[3,4,2,5,7,6,1]=>[2,-4,5,6,-3,-7,1]
[3,4,2,6,1,7,5]=>[2,-4,7,-3,1,-6,5]
[3,4,2,6,5,7,1]=>[2,-4,5,-3,7,-6,1]
[3,4,2,6,7,5,1]=>[2,-4,7,5,-3,-6,1]
[3,4,2,7,1,5,6]=>[2,-4,-3,1,7,5,6]
[3,4,2,7,6,5,1]=>[2,-4,5,-3,-6,-7,1]
[3,4,5,1,2,6,7]=>[3,4,5,1,2,6,7]
[3,4,5,1,2,7,6]=>[3,4,5,1,2,-7,6]
[3,4,5,1,6,7,2]=>[5,6,-4,1,7,-3,2]
[3,4,5,1,7,2,6]=>[5,-4,7,1,-3,2,6]
[3,4,5,1,7,6,2]=>[5,6,-4,1,-3,-7,2]
[3,4,5,2,1,6,7]=>[5,2,-4,-3,1,6,7]
[3,4,5,2,6,1,7]=>[5,2,-4,6,-3,1,7]
[3,4,5,2,6,7,1]=>[5,2,-4,6,7,-3,1]
[3,4,5,2,7,1,6]=>[5,2,-4,-3,7,1,6]
[3,4,5,2,7,6,1]=>[5,2,-4,6,-3,-7,1]
[3,4,5,6,1,2,7]=>[3,4,5,6,1,2,7]
[3,4,5,6,1,7,2]=>[5,6,7,-4,1,-3,2]
[3,4,5,6,2,1,7]=>[5,6,2,-4,-3,1,7]
[3,4,5,6,2,7,1]=>[5,6,2,-4,7,-3,1]
[3,4,5,6,7,1,2]=>[3,4,5,6,7,1,2]
[3,4,5,6,7,2,1]=>[5,6,7,2,-4,-3,1]
[3,4,5,7,1,2,6]=>[3,4,5,1,7,2,6]
[3,4,5,7,1,6,2]=>[5,7,-4,6,1,-3,2]
[3,4,5,7,2,1,6]=>[5,2,7,-4,-3,1,6]
[3,4,5,7,6,2,1]=>[5,6,2,-4,-3,-7,1]
[3,4,6,1,2,5,7]=>[3,4,1,6,2,5,7]
[3,4,6,1,2,7,5]=>[3,4,7,1,2,-6,5]
[3,4,6,1,5,2,7]=>[6,-4,5,1,-3,2,7]
[3,4,6,1,7,2,5]=>[-4,6,7,1,-3,2,5]
[3,4,6,1,7,5,2]=>[7,5,-4,1,-3,-6,2]
[3,4,6,2,1,5,7]=>[2,6,-4,-3,1,5,7]
[3,4,6,2,1,7,5]=>[7,2,-4,-3,1,-6,5]
[3,4,6,2,7,1,5]=>[2,6,-4,-3,7,1,5]
[3,4,6,2,7,5,1]=>[7,2,-4,5,-3,-6,1]
[3,4,6,5,2,7,1]=>[5,2,-4,-3,7,-6,1]
[3,4,6,5,7,1,2]=>[3,4,-6,5,7,1,2]
[3,4,6,5,7,2,1]=>[5,7,-4,2,-3,-6,1]
[3,4,6,7,1,2,5]=>[3,4,1,6,7,2,5]
[3,4,6,7,1,5,2]=>[6,-4,7,5,1,-3,2]
[3,4,6,7,2,1,5]=>[2,6,7,-4,-3,1,5]
[3,4,6,7,5,1,2]=>[3,4,7,-6,5,1,2]
[3,4,6,7,5,2,1]=>[7,5,2,-4,-3,-6,1]
[3,4,7,1,2,5,6]=>[3,4,1,2,7,5,6]
[3,4,7,1,2,6,5]=>[3,4,1,6,2,-7,5]
[3,4,7,1,5,6,2]=>[7,-4,1,5,6,-3,2]
[3,4,7,1,6,2,5]=>[-4,7,1,6,-3,2,5]
[3,4,7,2,1,5,6]=>[2,-4,7,-3,1,5,6]
[3,4,7,2,1,6,5]=>[2,6,-4,-3,1,-7,5]
[3,4,7,2,5,1,6]=>[-4,7,2,5,-3,1,6]
[3,4,7,2,5,6,1]=>[2,-4,7,5,6,-3,1]
[3,4,7,5,1,2,6]=>[3,-7,4,5,1,2,6]
[3,4,7,5,6,1,2]=>[3,-7,4,5,6,1,2]
[3,4,7,6,1,5,2]=>[6,-4,-3,5,1,-7,2]
[3,4,7,6,2,1,5]=>[2,6,-4,-7,-3,1,5]
[3,4,7,6,5,2,1]=>[5,2,-4,-3,-6,-7,1]
[3,5,1,2,4,6,7]=>[3,1,5,2,4,6,7]
[3,5,1,2,6,7,4]=>[3,6,1,2,7,-5,4]
[3,5,1,2,7,4,6]=>[3,1,7,2,-5,4,6]
[3,5,1,2,7,6,4]=>[3,6,1,2,-5,-7,4]
[3,5,1,4,2,6,7]=>[-5,4,1,-3,2,6,7]
[3,5,1,4,6,7,2]=>[-5,4,1,6,7,-3,2]
[3,5,1,4,7,2,6]=>[-5,4,1,-3,7,2,6]
[3,5,1,4,7,6,2]=>[-5,4,1,6,-3,-7,2]
[3,5,1,6,2,4,7]=>[5,6,1,-3,2,4,7]
[3,5,1,6,2,7,4]=>[7,-6,1,-3,2,-5,4]
[3,5,1,6,4,7,2]=>[4,-6,1,-3,7,-5,2]
[3,5,1,6,7,2,4]=>[5,6,1,-3,7,2,4]
[3,5,1,6,7,4,2]=>[7,-6,1,4,-3,-5,2]
[3,5,1,7,2,4,6]=>[5,1,7,-3,2,4,6]
[3,5,1,7,2,6,4]=>[-7,6,1,-3,2,-5,4]
[3,5,1,7,4,6,2]=>[-7,4,1,-3,6,-5,2]
[3,5,2,1,4,6,7]=>[-5,2,-3,1,4,6,7]
[3,5,2,1,4,7,6]=>[-5,2,-3,1,4,-7,6]
[3,5,2,1,6,7,4]=>[2,-6,-3,1,7,-5,4]
[3,5,2,1,7,4,6]=>[-7,2,-3,1,-5,4,6]
[3,5,2,6,1,4,7]=>[-5,2,-3,6,1,4,7]
[3,5,2,6,1,7,4]=>[2,-6,7,-3,1,-5,4]
[3,5,2,6,4,7,1]=>[2,-6,4,-3,7,-5,1]
[3,5,2,6,7,1,4]=>[-5,2,-3,6,7,1,4]
[3,5,2,6,7,4,1]=>[2,-6,7,4,-3,-5,1]
[3,5,2,7,1,6,4]=>[2,-7,-3,6,1,-5,4]
[3,5,2,7,4,1,6]=>[-7,2,4,-3,-5,1,6]
[3,5,2,7,4,6,1]=>[-7,2,4,-3,6,-5,1]
[3,5,2,7,6,4,1]=>[2,-6,4,-3,-5,-7,1]
[3,5,4,1,7,2,6]=>[-4,7,-3,1,-5,2,6]
[3,5,4,2,6,7,1]=>[2,-4,-3,6,7,-5,1]
[3,5,4,2,7,6,1]=>[2,-4,-3,6,-5,-7,1]
[3,5,4,6,1,7,2]=>[6,-4,7,-3,1,-5,2]
[3,5,4,6,2,7,1]=>[6,-4,2,-3,7,-5,1]
[3,5,4,6,7,2,1]=>[6,-4,7,2,-3,-5,1]
[3,5,4,7,1,6,2]=>[7,-4,-3,6,1,-5,2]
[3,5,4,7,2,1,6]=>[-4,7,2,-3,-5,1,6]
[3,5,4,7,6,2,1]=>[6,-4,2,-3,-5,-7,1]
[3,5,6,1,2,4,7]=>[3,1,5,6,2,4,7]
[3,5,6,1,2,7,4]=>[3,6,7,1,2,-5,4]
[3,5,6,1,4,2,7]=>[-5,6,4,1,-3,2,7]
[3,5,6,1,7,2,4]=>[5,6,7,1,-3,2,4]
[3,5,6,2,4,7,1]=>[-5,6,2,4,7,-3,1]
[3,5,6,2,7,1,4]=>[2,-5,6,-3,7,1,4]
[3,5,6,2,7,4,1]=>[7,2,-6,4,-3,-5,1]
[3,5,6,4,1,2,7]=>[3,6,-5,4,1,2,7]
[3,5,6,4,2,1,7]=>[4,2,-6,-3,-5,1,7]
[3,5,6,4,2,7,1]=>[4,2,-6,-3,7,-5,1]
[3,5,6,4,7,1,2]=>[3,6,-5,4,7,1,2]
[3,5,6,4,7,2,1]=>[4,7,-6,2,-3,-5,1]
[3,5,6,7,1,2,4]=>[3,1,5,6,7,2,4]
[3,5,6,7,2,1,4]=>[2,6,-5,7,-3,1,4]
[3,5,6,7,4,1,2]=>[3,6,7,-5,4,1,2]
[3,5,6,7,4,2,1]=>[7,4,2,-6,-3,-5,1]
[3,5,7,1,2,4,6]=>[3,1,5,2,7,4,6]
[3,5,7,1,4,6,2]=>[-5,7,1,4,6,-3,2]
[3,5,7,2,1,4,6]=>[2,-5,-3,7,1,4,6]
[3,5,7,2,4,1,6]=>[-5,2,7,4,-3,1,6]
[3,5,7,4,1,6,2]=>[7,6,-4,-3,1,-5,2]
[3,5,7,4,2,1,6]=>[4,-7,2,-3,-5,1,6]
[3,5,7,6,1,4,2]=>[-5,6,-3,4,1,-7,2]
[3,5,7,6,2,1,4]=>[2,-5,6,-7,-3,1,4]
[3,5,7,6,4,2,1]=>[4,2,-6,-3,-5,-7,1]
[3,6,1,2,4,5,7]=>[3,1,2,6,4,5,7]
[3,6,1,2,4,7,5]=>[3,1,7,2,4,-6,5]
[3,6,1,2,7,4,5]=>[3,1,7,-6,2,4,5]
[3,6,1,2,7,5,4]=>[3,5,1,2,-7,-6,4]
[3,6,1,4,2,7,5]=>[-7,4,1,-3,2,-6,5]
[3,6,1,4,5,2,7]=>[-6,1,4,5,-3,2,7]
[3,6,1,4,5,7,2]=>[-6,1,4,5,7,-3,2]
[3,6,1,4,7,2,5]=>[6,4,1,-3,7,2,5]
[3,6,1,4,7,5,2]=>[-7,4,1,5,-3,-6,2]
[3,6,1,5,7,4,2]=>[-5,7,1,4,-3,-6,2]
[3,6,1,7,2,4,5]=>[1,6,7,-3,2,4,5]
[3,6,1,7,2,5,4]=>[7,5,1,-3,2,-6,4]
[3,6,1,7,5,2,4]=>[7,5,1,-6,-3,2,4]
[3,6,1,7,5,4,2]=>[4,-5,1,-3,-7,-6,2]
[3,6,2,1,4,7,5]=>[-7,2,-3,1,4,-6,5]
[3,6,2,1,5,4,7]=>[-5,2,-3,1,-6,4,7]
[3,6,2,1,7,5,4]=>[2,-5,-3,1,-7,-6,4]
[3,6,2,4,1,5,7]=>[6,2,4,-3,1,5,7]
[3,6,2,4,1,7,5]=>[-7,2,4,-3,1,-6,5]
[3,6,2,4,7,1,5]=>[6,2,4,-3,7,1,5]
[3,6,2,4,7,5,1]=>[-7,2,4,5,-3,-6,1]
[3,6,2,7,1,5,4]=>[-7,2,-3,5,1,-6,4]
[3,6,2,7,4,5,1]=>[-7,2,-3,4,5,-6,1]
[3,6,2,7,5,1,4]=>[-7,2,-3,-6,5,1,4]
[3,6,4,2,7,5,1]=>[2,-4,-3,5,-7,-6,1]
[3,6,4,7,1,5,2]=>[7,-4,-6,5,1,-3,2]
[3,6,4,7,2,5,1]=>[7,-4,-6,2,5,-3,1]
[3,6,5,2,1,7,4]=>[2,-7,-3,-5,1,-6,4]
[3,6,5,2,7,1,4]=>[-5,2,-6,-3,7,1,4]
[3,6,5,4,2,1,7]=>[2,-4,-3,-5,-6,1,7]
[3,6,5,4,2,7,1]=>[2,-4,-3,-5,7,-6,1]
[3,6,5,4,7,2,1]=>[7,-4,-3,2,-5,-6,1]
[3,6,5,7,2,1,4]=>[5,7,2,-6,-3,1,4]
[3,6,5,7,4,2,1]=>[4,-7,2,-3,-5,-6,1]
[3,6,7,1,2,4,5]=>[3,1,2,6,7,4,5]
[3,6,7,1,4,2,5]=>[6,4,7,1,-3,2,5]
[3,6,7,1,5,4,2]=>[-7,5,4,1,-3,-6,2]
[3,6,7,2,4,5,1]=>[-2,6,7,4,5,-3,1]
[3,6,7,4,1,5,2]=>[7,5,-4,-6,1,-3,2]
[3,6,7,4,5,1,2]=>[-6,3,7,4,5,1,2]
[3,6,7,5,4,2,1]=>[4,2,-5,-3,-7,-6,1]
[3,7,1,2,4,5,6]=>[3,1,2,4,7,5,6]
[3,7,1,2,6,4,5]=>[3,1,2,-7,6,4,5]
[3,7,1,4,2,5,6]=>[4,7,1,-3,2,5,6]
[3,7,1,4,5,2,6]=>[7,1,4,5,-3,2,6]
[3,7,1,4,5,6,2]=>[-4,1,7,5,6,-3,2]
[3,7,1,4,6,5,2]=>[-6,1,4,5,-3,-7,2]
[3,7,1,5,2,6,4]=>[5,6,1,-3,2,-7,4]
[3,7,1,5,4,6,2]=>[-5,4,-3,1,6,-7,2]
[3,7,1,6,4,2,5]=>[6,4,1,-7,-3,2,5]
[3,7,1,6,5,4,2]=>[-5,4,1,-3,-6,-7,2]
[3,7,2,1,4,5,6]=>[2,7,-3,1,4,5,6]
[3,7,2,1,4,6,5]=>[6,2,-3,1,4,-7,5]
[3,7,2,1,5,4,6]=>[-5,2,-3,-7,1,4,6]
[3,7,2,1,5,6,4]=>[5,2,-3,1,6,-7,4]
[3,7,2,4,1,5,6]=>[2,7,4,-3,1,5,6]
[3,7,2,4,1,6,5]=>[6,2,4,-3,1,-7,5]
[3,7,2,4,5,1,6]=>[-2,4,7,5,-3,1,6]
[3,7,2,4,5,6,1]=>[-2,4,7,5,6,-3,1]
[3,7,2,5,1,4,6]=>[2,7,-3,5,1,4,6]
[3,7,2,5,4,1,6]=>[-5,2,4,-7,-3,1,6]
[3,7,2,6,4,1,5]=>[6,2,4,-7,-3,1,5]
[3,7,4,1,2,6,5]=>[-6,3,4,1,2,-7,5]
[3,7,4,2,1,5,6]=>[2,-7,-4,-3,1,5,6]
[3,7,4,2,1,6,5]=>[2,-4,-6,-3,1,-7,5]
[3,7,4,2,5,1,6]=>[2,-7,-4,5,-3,1,6]
[3,7,4,2,5,6,1]=>[-4,2,-7,5,6,-3,1]
[3,7,4,5,2,1,6]=>[-4,5,2,-7,-3,1,6]
[3,7,4,5,2,6,1]=>[-4,5,-3,2,6,-7,1]
[3,7,4,5,6,2,1]=>[4,5,6,2,-3,-7,1]
[3,7,4,6,1,5,2]=>[-4,-3,6,5,1,-7,2]
[3,7,4,6,2,1,5]=>[-4,2,6,-7,-3,1,5]
[3,7,4,6,2,5,1]=>[-4,-3,6,2,5,-7,1]
[3,7,5,1,2,4,6]=>[7,3,1,5,2,4,6]
[3,7,5,1,4,2,6]=>[-5,-3,4,-7,1,2,6]
[3,7,5,1,6,2,4]=>[5,-7,6,1,-3,2,4]
[3,7,5,2,4,1,6]=>[-5,-3,2,-7,4,1,6]
[3,7,5,2,4,6,1]=>[-5,-7,2,4,6,-3,1]
[3,7,5,2,6,4,1]=>[2,-6,-5,4,-3,-7,1]
[3,7,5,6,2,1,4]=>[5,2,6,-7,-3,1,4]
[3,7,6,1,2,5,4]=>[-6,3,1,5,2,-7,4]
[3,7,6,1,4,2,5]=>[6,-3,4,-7,1,2,5]
[3,7,6,1,4,5,2]=>[-6,-7,1,4,5,-3,2]
[3,7,6,2,1,4,5]=>[6,-7,2,-3,1,4,5]
[3,7,6,2,4,1,5]=>[6,-3,2,-7,4,1,5]
[3,7,6,2,4,5,1]=>[-2,-7,6,4,5,-3,1]
[3,7,6,5,1,4,2]=>[-5,-3,-6,4,1,-7,2]
[3,7,6,5,2,1,4]=>[-5,2,-6,-7,-3,1,4]
[3,7,6,5,4,2,1]=>[2,-4,-3,-5,-6,-7,1]
[4,1,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[4,1,2,3,5,7,6]=>[1,4,2,3,5,-7,6]
[4,1,2,3,7,5,6]=>[1,4,2,-7,3,5,6]
[4,1,2,5,3,7,6]=>[5,1,2,-4,3,-7,6]
[4,1,2,5,6,7,3]=>[5,1,2,6,7,-4,3]
[4,1,2,5,7,3,6]=>[5,1,2,-4,7,3,6]
[4,1,2,5,7,6,3]=>[5,1,2,6,-4,-7,3]
[4,1,2,6,3,5,7]=>[1,6,2,-4,3,5,7]
[4,1,2,6,3,7,5]=>[7,1,2,-4,3,-6,5]
[4,1,2,6,5,7,3]=>[5,1,2,-4,7,-6,3]
[4,1,2,6,7,3,5]=>[1,6,2,-4,7,3,5]
[4,1,2,6,7,5,3]=>[7,1,2,5,-4,-6,3]
[4,1,2,7,3,5,6]=>[1,2,7,-4,3,5,6]
[4,1,2,7,3,6,5]=>[1,6,2,-4,3,-7,5]
[4,1,2,7,5,3,6]=>[5,1,2,-7,-4,3,6]
[4,1,2,7,6,3,5]=>[1,6,2,-7,-4,3,5]
[4,1,2,7,6,5,3]=>[5,1,2,-4,-6,-7,3]
[4,1,3,2,5,6,7]=>[3,1,-4,2,5,6,7]
[4,1,3,2,7,6,5]=>[3,1,-4,2,-6,-7,5]
[4,1,3,6,2,7,5]=>[3,1,7,-4,2,-6,5]
[4,1,3,7,2,6,5]=>[3,1,-4,6,2,-7,5]
[4,1,5,2,3,6,7]=>[5,-4,1,2,3,6,7]
[4,1,5,2,3,7,6]=>[5,-4,1,2,3,-7,6]
[4,1,5,2,6,7,3]=>[-6,1,-5,2,7,-4,3]
[4,1,5,2,7,3,6]=>[7,1,-5,2,-4,3,6]
[4,1,5,2,7,6,3]=>[-6,1,-5,2,-4,-7,3]
[4,1,5,3,2,7,6]=>[-3,1,-5,-4,2,-7,6]
[4,1,5,3,6,7,2]=>[-3,1,-5,6,7,-4,2]
[4,1,5,3,7,2,6]=>[-3,1,-5,-4,7,2,6]
[4,1,5,6,2,3,7]=>[5,-4,1,6,2,3,7]
[4,1,5,6,2,7,3]=>[-6,1,7,-5,2,-4,3]
[4,1,5,6,3,7,2]=>[-6,1,3,-5,7,-4,2]
[4,1,5,6,7,2,3]=>[5,-4,1,6,7,2,3]
[4,1,5,6,7,3,2]=>[-6,1,7,3,-5,-4,2]
[4,1,5,7,2,3,6]=>[5,-4,1,2,7,3,6]
[4,1,5,7,2,6,3]=>[-7,1,-5,6,2,-4,3]
[4,1,5,7,3,2,6]=>[7,1,3,-5,-4,2,6]
[4,1,5,7,3,6,2]=>[-7,1,-5,3,6,-4,2]
[4,1,6,2,3,5,7]=>[-4,6,1,2,3,5,7]
[4,1,6,2,3,7,5]=>[7,-4,1,2,3,-6,5]
[4,1,6,2,5,7,3]=>[5,1,-6,2,7,-4,3]
[4,1,6,2,7,3,5]=>[7,-6,1,2,-4,3,5]
[4,1,6,2,7,5,3]=>[-5,1,-7,2,-4,-6,3]
[4,1,6,3,2,7,5]=>[-3,1,-7,-4,2,-6,5]
[4,1,6,3,7,2,5]=>[-3,-6,1,-4,7,2,5]
[4,1,6,3,7,5,2]=>[-3,1,-7,5,-4,-6,2]
[4,1,6,5,2,7,3]=>[-7,1,-5,-4,2,-6,3]
[4,1,6,5,7,3,2]=>[-7,1,-5,3,-4,-6,2]
[4,1,6,7,2,3,5]=>[-4,6,1,2,7,3,5]
[4,1,6,7,3,5,2]=>[7,1,-6,3,5,-4,2]
[4,1,6,7,5,3,2]=>[-5,1,3,-7,-4,-6,2]
[4,1,7,2,3,5,6]=>[-4,1,7,2,3,5,6]
[4,1,7,2,3,6,5]=>[-4,6,1,2,3,-7,5]
[4,1,7,2,5,3,6]=>[5,-7,1,2,-4,3,6]
[4,1,7,2,5,6,3]=>[1,5,-7,2,6,-4,3]
[4,1,7,2,6,3,5]=>[1,-7,6,2,-4,3,5]
[4,1,7,3,2,5,6]=>[-7,-3,1,-4,2,5,6]
[4,1,7,3,2,6,5]=>[-3,-6,1,-4,2,-7,5]
[4,1,7,3,5,2,6]=>[3,-7,1,5,-4,2,6]
[4,1,7,3,5,6,2]=>[1,3,-7,5,6,-4,2]
[4,1,7,3,6,2,5]=>[3,-7,1,-4,6,2,5]
[4,1,7,5,2,3,6]=>[5,-7,-4,1,2,3,6]
[4,1,7,5,3,2,6]=>[-3,1,-5,-7,-4,2,6]
[4,1,7,5,3,6,2]=>[-3,1,-5,-7,6,-4,2]
[4,1,7,5,6,3,2]=>[-6,-5,1,3,-4,-7,2]
[4,1,7,6,2,3,5]=>[-4,-7,6,1,2,3,5]
[4,1,7,6,3,5,2]=>[3,1,-6,-7,5,-4,2]
[4,1,7,6,5,2,3]=>[5,-4,-6,-7,1,2,3]
[4,1,7,6,5,3,2]=>[-3,1,-5,-4,-6,-7,2]
[4,2,1,3,5,6,7]=>[-4,-2,1,3,5,6,7]
[4,2,1,3,6,7,5]=>[-4,-2,1,3,7,-6,5]
[4,2,1,3,7,5,6]=>[-4,-2,1,-7,3,5,6]
[4,2,1,5,3,7,6]=>[-2,-5,1,-4,3,-7,6]
[4,2,1,5,6,3,7]=>[-2,-5,1,6,-4,3,7]
[4,2,1,5,6,7,3]=>[-2,-5,1,6,7,-4,3]
[4,2,1,5,7,3,6]=>[-2,-5,1,-4,7,3,6]
[4,2,1,6,3,7,5]=>[-2,-7,1,-4,3,-6,5]
[4,2,1,6,7,3,5]=>[-6,-2,1,-4,7,3,5]
[4,2,1,7,3,5,6]=>[7,-2,1,-4,3,5,6]
[4,2,1,7,3,6,5]=>[-6,-2,1,-4,3,-7,5]
[4,2,1,7,5,3,6]=>[-2,-5,1,-7,-4,3,6]
[4,2,1,7,5,6,3]=>[-2,-5,-4,1,6,-7,3]
[4,2,1,7,6,3,5]=>[-6,-2,1,-7,-4,3,5]
[4,2,1,7,6,5,3]=>[-2,-5,1,-4,-6,-7,3]
[4,2,3,1,5,6,7]=>[2,3,-4,1,5,6,7]
[4,2,3,5,1,6,7]=>[2,3,5,-4,1,6,7]
[4,2,3,5,6,1,7]=>[2,3,5,6,-4,1,7]
[4,2,3,5,6,7,1]=>[2,3,5,6,7,-4,1]
[4,2,3,5,7,1,6]=>[2,3,5,-4,7,1,6]
[4,2,3,5,7,6,1]=>[2,3,5,6,-4,-7,1]
[4,2,3,6,1,7,5]=>[2,3,7,-4,1,-6,5]
[4,2,3,6,5,7,1]=>[2,3,5,-4,7,-6,1]
[4,2,3,6,7,1,5]=>[2,3,-4,6,7,1,5]
[4,2,3,7,5,6,1]=>[2,3,-4,5,6,-7,1]
[4,2,3,7,6,1,5]=>[2,3,-4,-7,6,1,5]
[4,2,3,7,6,5,1]=>[2,3,5,-4,-6,-7,1]
[4,2,5,1,3,6,7]=>[-4,-2,5,1,3,6,7]
[4,2,5,1,3,7,6]=>[-4,-2,5,1,3,-7,6]
[4,2,5,1,6,7,3]=>[-2,6,-5,1,7,-4,3]
[4,2,5,1,7,3,6]=>[-2,-5,7,1,-4,3,6]
[4,2,5,1,7,6,3]=>[-2,6,-5,1,-4,-7,3]
[4,2,5,3,6,7,1]=>[-2,3,-5,6,7,-4,1]
[4,2,5,6,1,3,7]=>[-4,-2,5,6,1,3,7]
[4,2,5,6,1,7,3]=>[-2,6,7,-5,1,-4,3]
[4,2,5,6,3,7,1]=>[-2,6,3,-5,7,-4,1]
[4,2,5,6,7,1,3]=>[-4,-2,5,6,7,1,3]
[4,2,5,7,1,6,3]=>[-2,7,-5,6,1,-4,3]
[4,2,5,7,3,1,6]=>[-2,3,7,-5,-4,1,6]
[4,2,5,7,3,6,1]=>[-2,7,-5,3,6,-4,1]
[4,2,6,1,3,7,5]=>[-4,-2,7,1,3,-6,5]
[4,2,6,1,5,3,7]=>[-2,-6,5,1,-4,3,7]
[4,2,6,1,5,7,3]=>[-2,-6,5,1,7,-4,3]
[4,2,6,1,7,3,5]=>[-6,-2,7,1,-4,3,5]
[4,2,6,1,7,5,3]=>[-2,5,-7,1,-4,-6,3]
[4,2,6,3,1,5,7]=>[-2,-6,3,-4,1,5,7]
[4,2,6,3,1,7,5]=>[-2,3,-7,-4,1,-6,5]
[4,2,6,3,7,1,5]=>[-2,-6,3,-4,7,1,5]
[4,2,6,3,7,5,1]=>[-2,3,-7,5,-4,-6,1]
[4,2,6,5,1,3,7]=>[-4,-2,-6,5,1,3,7]
[4,2,6,5,7,1,3]=>[-4,-2,-6,5,7,1,3]
[4,2,6,7,1,5,3]=>[-2,-6,7,5,1,-4,3]
[4,2,6,7,5,1,3]=>[-4,-2,7,-6,5,1,3]
[4,2,7,1,3,5,6]=>[-4,-2,1,3,7,5,6]
[4,2,7,1,5,3,6]=>[-7,-2,5,1,-4,3,6]
[4,2,7,1,5,6,3]=>[-2,-7,1,5,6,-4,3]
[4,2,7,1,6,5,3]=>[-2,-6,5,1,-4,-7,3]
[4,2,7,3,1,5,6]=>[-7,-2,3,-4,1,5,6]
[4,2,7,3,1,6,5]=>[-2,-6,3,-4,1,-7,5]
[4,2,7,3,5,1,6]=>[2,-7,3,5,-4,1,6]
[4,2,7,3,5,6,1]=>[7,3,-2,5,6,-4,1]
[4,2,7,5,3,1,6]=>[-2,3,-5,-7,-4,1,6]
[4,2,7,5,3,6,1]=>[-2,3,-5,-7,6,-4,1]
[4,2,7,5,6,3,1]=>[-2,-5,6,3,-4,-7,1]
[4,2,7,6,1,3,5]=>[-4,-7,-2,1,6,3,5]
[4,2,7,6,3,1,5]=>[-2,-6,3,-7,-4,1,5]
[4,2,7,6,3,5,1]=>[2,3,-6,-7,5,-4,1]
[4,2,7,6,5,3,1]=>[-2,3,-5,-4,-6,-7,1]
[4,3,1,2,5,6,7]=>[-4,3,1,2,5,6,7]
[4,3,1,2,7,5,6]=>[-4,3,1,-7,2,5,6]
[4,3,1,5,6,7,2]=>[-5,-3,1,6,7,-4,2]
[4,3,1,5,7,2,6]=>[-5,-3,1,-4,7,2,6]
[4,3,1,6,2,7,5]=>[-7,-3,1,-4,2,-6,5]
[4,3,1,6,7,2,5]=>[6,-3,1,-4,7,2,5]
[4,3,1,7,2,5,6]=>[-3,7,1,-4,2,5,6]
[4,3,1,7,5,2,6]=>[-5,-3,1,-7,-4,2,6]
[4,3,1,7,6,2,5]=>[6,-3,1,-7,-4,2,5]
[4,3,1,7,6,5,2]=>[-5,-3,1,-4,-6,-7,2]
[4,3,2,1,5,6,7]=>[-2,-3,-4,1,5,6,7]
[4,3,2,1,5,7,6]=>[-2,-3,-4,1,5,-7,6]
[4,3,2,5,1,6,7]=>[-2,-3,5,-4,1,6,7]
[4,3,2,5,1,7,6]=>[-2,-3,5,-4,1,-7,6]
[4,3,2,5,6,1,7]=>[-2,-3,5,6,-4,1,7]
[4,3,2,5,6,7,1]=>[-2,-3,5,6,7,-4,1]
[4,3,2,5,7,6,1]=>[-2,-3,5,6,-4,-7,1]
[4,3,2,6,5,7,1]=>[-2,-3,5,-4,7,-6,1]
[4,3,2,6,7,5,1]=>[-2,-3,7,5,-4,-6,1]
[4,3,2,7,5,6,1]=>[-2,-3,-4,5,6,-7,1]
[4,3,2,7,6,5,1]=>[-2,-3,5,-4,-6,-7,1]
[4,3,5,1,2,6,7]=>[-4,3,5,1,2,6,7]
[4,3,5,1,2,7,6]=>[-4,3,5,1,2,-7,6]
[4,3,5,1,6,7,2]=>[-5,6,-3,1,7,-4,2]
[4,3,5,2,1,6,7]=>[-5,2,-3,-4,1,6,7]
[4,3,5,2,6,1,7]=>[-5,2,-3,6,-4,1,7]
[4,3,5,2,6,7,1]=>[-5,2,-3,6,7,-4,1]
[4,3,5,2,7,6,1]=>[-5,2,-3,6,-4,-7,1]
[4,3,5,6,1,2,7]=>[-4,3,5,6,1,2,7]
[4,3,5,6,2,1,7]=>[-5,6,2,-3,-4,1,7]
[4,3,5,6,2,7,1]=>[-5,6,2,-3,7,-4,1]
[4,3,5,6,7,2,1]=>[-5,6,7,2,-3,-4,1]
[4,3,5,7,6,2,1]=>[-5,6,2,-3,-4,-7,1]
[4,3,6,1,5,7,2]=>[-6,-3,5,1,7,-4,2]
[4,3,6,2,1,7,5]=>[-7,2,-3,-4,1,-6,5]
[4,3,6,2,5,1,7]=>[-6,-3,2,5,-4,1,7]
[4,3,6,2,7,1,5]=>[6,2,-3,-4,7,1,5]
[4,3,6,5,1,7,2]=>[-5,7,-3,-4,1,-6,2]
[4,3,6,5,2,1,7]=>[-5,2,-3,-4,-6,1,7]
[4,3,6,5,2,7,1]=>[-5,2,-3,-4,7,-6,1]
[4,3,6,5,7,2,1]=>[-5,7,-3,2,-4,-6,1]
[4,3,6,7,5,2,1]=>[-7,5,2,-3,-4,-6,1]
[4,3,7,5,6,2,1]=>[-5,-3,6,2,-4,-7,1]
[4,3,7,6,5,2,1]=>[-5,2,-3,-4,-6,-7,1]
[4,5,1,2,3,6,7]=>[1,4,5,2,3,6,7]
[4,5,1,2,3,7,6]=>[1,4,5,2,3,-7,6]
[4,5,1,2,6,7,3]=>[5,6,1,2,7,-4,3]
[4,5,1,2,7,3,6]=>[5,1,7,2,-4,3,6]
[4,5,1,2,7,6,3]=>[5,6,1,2,-4,-7,3]
[4,5,1,3,2,6,7]=>[5,3,1,-4,2,6,7]
[4,5,1,3,6,7,2]=>[5,3,1,6,7,-4,2]
[4,5,1,3,7,2,6]=>[5,3,1,-4,7,2,6]
[4,5,1,3,7,6,2]=>[5,3,1,6,-4,-7,2]
[4,5,1,6,2,3,7]=>[5,6,-4,1,2,3,7]
[4,5,1,6,2,7,3]=>[7,-6,1,-5,2,-4,3]
[4,5,1,6,7,2,3]=>[5,6,-4,1,7,2,3]
[4,5,1,7,2,3,6]=>[5,-4,7,1,2,3,6]
[4,5,2,1,3,6,7]=>[-5,-4,2,1,3,6,7]
[4,5,2,1,6,7,3]=>[2,-6,-5,1,7,-4,3]
[4,5,2,3,1,6,7]=>[5,2,3,-4,1,6,7]
[4,5,2,3,6,1,7]=>[5,2,3,6,-4,1,7]
[4,5,2,3,6,7,1]=>[5,2,3,6,7,-4,1]
[4,5,2,3,7,1,6]=>[5,2,3,-4,7,1,6]
[4,5,2,6,3,7,1]=>[2,-6,3,-5,7,-4,1]
[4,5,2,6,7,1,3]=>[-5,-4,2,6,7,1,3]
[4,5,2,7,1,3,6]=>[-5,-4,2,1,7,3,6]
[4,5,2,7,1,6,3]=>[2,-7,-5,6,1,-4,3]
[4,5,2,7,3,1,6]=>[-7,2,3,-5,-4,1,6]
[4,5,2,7,6,1,3]=>[-5,-4,2,-7,6,1,3]
[4,5,3,1,2,6,7]=>[5,-4,3,1,2,6,7]
[4,5,3,2,1,6,7]=>[2,-3,-5,-4,1,6,7]
[4,5,3,2,6,1,7]=>[2,-3,-5,6,-4,1,7]
[4,5,3,2,6,7,1]=>[2,-3,-5,6,7,-4,1]
[4,5,3,2,7,6,1]=>[2,-3,-5,6,-4,-7,1]
[4,5,3,6,1,2,7]=>[5,-4,3,6,1,2,7]
[4,5,3,6,2,1,7]=>[6,-3,2,-5,-4,1,7]
[4,5,3,6,2,7,1]=>[6,-3,2,-5,7,-4,1]
[4,5,3,6,7,1,2]=>[5,-4,3,6,7,1,2]
[4,5,3,6,7,2,1]=>[6,-3,7,2,-5,-4,1]
[4,5,3,7,1,6,2]=>[7,-3,-5,6,1,-4,2]
[4,5,3,7,2,1,6]=>[-3,7,2,-5,-4,1,6]
[4,5,3,7,6,2,1]=>[6,-3,2,-5,-4,-7,1]
[4,5,6,1,2,3,7]=>[1,4,5,6,2,3,7]
[4,5,6,1,2,7,3]=>[5,6,7,1,2,-4,3]
[4,5,6,1,3,7,2]=>[5,6,3,1,7,-4,2]
[4,5,6,1,7,2,3]=>[5,6,7,-4,1,2,3]
[4,5,6,1,7,3,2]=>[7,3,-6,1,-5,-4,2]
[4,5,6,2,1,3,7]=>[2,-5,-4,6,1,3,7]
[4,5,6,2,1,7,3]=>[7,2,-6,-5,1,-4,3]
[4,5,6,2,3,1,7]=>[5,6,2,3,-4,1,7]
[4,5,6,2,3,7,1]=>[5,6,2,3,7,-4,1]
[4,5,6,3,1,2,7]=>[5,6,-4,3,1,2,7]
[4,5,6,3,1,7,2]=>[3,7,-6,-5,1,-4,2]
[4,5,6,3,2,1,7]=>[3,2,-6,-5,-4,1,7]
[4,5,6,3,2,7,1]=>[3,2,-6,-5,7,-4,1]
[4,5,6,3,7,1,2]=>[5,6,-4,3,7,1,2]
[4,5,6,3,7,2,1]=>[3,7,-6,2,-5,-4,1]
[4,5,6,7,1,2,3]=>[1,4,5,6,7,2,3]
[4,5,6,7,1,3,2]=>[5,6,7,3,1,-4,2]
[4,5,6,7,2,1,3]=>[2,6,-5,-4,7,1,3]
[4,5,6,7,3,1,2]=>[5,6,7,-4,3,1,2]
[4,5,6,7,3,2,1]=>[7,3,2,-6,-5,-4,1]
[4,5,7,1,2,3,6]=>[1,4,5,2,7,3,6]
[4,5,7,1,2,6,3]=>[5,7,1,6,2,-4,3]
[4,5,7,1,6,3,2]=>[6,-7,3,1,-5,-4,2]
[4,5,7,2,1,6,3]=>[2,6,-7,-5,1,-4,3]
[4,5,7,2,6,1,3]=>[5,7,-4,2,6,1,3]
[4,5,7,3,1,6,2]=>[7,6,-3,-5,1,-4,2]
[4,5,7,3,2,1,6]=>[3,-7,2,-5,-4,1,6]
[4,5,7,3,2,6,1]=>[7,2,-3,-5,6,-4,1]
[4,5,7,3,6,2,1]=>[3,-7,6,2,-5,-4,1]
[4,5,7,6,2,1,3]=>[2,-5,-4,-7,6,1,3]
[4,5,7,6,3,2,1]=>[3,2,-6,-5,-4,-7,1]
[4,6,1,2,3,5,7]=>[1,4,2,6,3,5,7]
[4,6,1,2,3,7,5]=>[1,4,7,2,3,-6,5]
[4,6,1,2,7,3,5]=>[1,6,7,2,-4,3,5]
[4,6,1,3,5,2,7]=>[6,1,3,5,-4,2,7]
[4,6,1,3,5,7,2]=>[6,1,3,5,7,-4,2]
[4,6,1,3,7,2,5]=>[3,6,1,-4,7,2,5]
[4,6,1,5,7,2,3]=>[6,1,-4,5,7,2,3]
[4,6,1,7,2,3,5]=>[-4,6,7,1,2,3,5]
[4,6,2,1,7,5,3]=>[2,-5,-7,1,-4,-6,3]
[4,6,2,3,1,7,5]=>[7,2,3,-4,1,-6,5]
[4,6,2,3,7,1,5]=>[2,6,3,-4,7,1,5]
[4,6,2,3,7,5,1]=>[7,2,3,5,-4,-6,1]
[4,6,2,7,1,3,5]=>[6,-4,2,1,7,3,5]
[4,6,2,7,3,5,1]=>[7,2,3,-6,5,-4,1]
[4,6,2,7,5,1,3]=>[-7,-4,2,-6,5,1,3]
[4,6,3,1,5,2,7]=>[-3,5,-6,1,-4,2,7]
[4,6,3,1,7,2,5]=>[-3,-6,7,1,-4,2,5]
[4,6,3,1,7,5,2]=>[5,-3,-7,1,-4,-6,2]
[4,6,3,2,1,5,7]=>[2,-6,-3,-4,1,5,7]
[4,6,3,2,7,1,5]=>[2,-6,-3,-4,7,1,5]
[4,6,3,7,1,5,2]=>[-3,7,-6,5,1,-4,2]
[4,6,3,7,5,1,2]=>[7,-4,3,-6,5,1,2]
[4,6,5,2,7,1,3]=>[-5,-4,-6,2,7,1,3]
[4,6,5,2,7,3,1]=>[2,-7,-5,3,-4,-6,1]
[4,6,5,3,2,1,7]=>[2,-3,-5,-4,-6,1,7]
[4,6,5,3,2,7,1]=>[2,-3,-5,-4,7,-6,1]
[4,6,5,3,7,2,1]=>[7,-3,-5,2,-4,-6,1]
[4,6,5,7,1,2,3]=>[6,4,1,5,7,2,3]
[4,6,5,7,2,3,1]=>[5,-4,7,2,3,-6,1]
[4,6,5,7,3,2,1]=>[3,-7,2,-5,-4,-6,1]
[4,6,7,1,2,3,5]=>[1,4,2,6,7,3,5]
[4,6,7,1,5,2,3]=>[6,1,7,-4,5,2,3]
[4,6,7,3,1,5,2]=>[7,-3,5,-6,1,-4,2]
[4,6,7,3,2,1,5]=>[3,-7,-6,2,-4,1,5]
[4,6,7,3,2,5,1]=>[7,-3,2,-6,5,-4,1]
[4,6,7,3,5,1,2]=>[-4,6,7,3,5,1,2]
[4,6,7,5,2,1,3]=>[2,-7,-4,-6,5,1,3]
[4,6,7,5,3,2,1]=>[3,2,-5,-7,-4,-6,1]
[4,7,1,2,3,5,6]=>[1,4,2,3,7,5,6]
[4,7,1,2,5,6,3]=>[7,1,2,5,6,-4,3]
[4,7,1,2,6,3,5]=>[1,7,2,6,-4,3,5]
[4,7,1,3,5,6,2]=>[3,1,7,5,6,-4,2]
[4,7,1,5,2,3,6]=>[1,7,-4,5,2,3,6]
[4,7,1,5,6,3,2]=>[-5,1,6,3,-7,-4,2]
[4,7,1,6,2,5,3]=>[6,1,5,-7,2,-4,3]
[4,7,1,6,3,2,5]=>[6,3,-7,1,-4,2,5]
[4,7,2,1,3,5,6]=>[-4,7,2,1,3,5,6]
[4,7,2,1,5,3,6]=>[-5,-7,2,1,-4,3,6]
[4,7,2,1,5,6,3]=>[5,2,-7,1,6,-4,3]
[4,7,2,1,6,3,5]=>[6,-7,2,1,-4,3,5]
[4,7,2,3,1,5,6]=>[2,3,7,-4,1,5,6]
[4,7,2,3,1,6,5]=>[2,6,3,-4,1,-7,5]
[4,7,2,3,5,1,6]=>[2,3,7,5,-4,1,6]
[4,7,2,3,5,6,1]=>[2,3,7,5,6,-4,1]
[4,7,2,5,1,3,6]=>[-4,7,2,5,1,3,6]
[4,7,2,5,3,1,6]=>[-5,2,-7,3,-4,1,6]
[4,7,2,5,3,6,1]=>[5,2,3,-7,6,-4,1]
[4,7,2,5,6,1,3]=>[-4,-2,7,5,6,1,3]
[4,7,2,5,6,3,1]=>[-2,5,6,3,-7,-4,1]
[4,7,2,6,1,3,5]=>[-4,7,2,1,6,3,5]
[4,7,2,6,3,5,1]=>[2,6,3,-7,5,-4,1]
[4,7,3,1,5,6,2]=>[3,5,-7,1,6,-4,2]
[4,7,3,1,6,2,5]=>[-7,-3,6,1,-4,2,5]
[4,7,3,2,1,6,5]=>[2,-6,-3,-4,1,-7,5]
[4,7,3,2,5,1,6]=>[-3,-7,2,5,-4,1,6]
[4,7,3,5,1,6,2]=>[3,5,6,-7,1,-4,2]
[4,7,3,5,2,1,6]=>[-3,5,-7,2,-4,1,6]
[4,7,5,1,3,6,2]=>[-4,5,3,1,6,-7,2]
[4,7,5,3,1,2,6]=>[5,-7,-4,3,1,2,6]
[4,7,5,3,1,6,2]=>[6,-3,-5,-7,1,-4,2]
[4,7,6,1,2,5,3]=>[-4,6,1,5,2,-7,3]
[4,7,6,1,5,3,2]=>[-5,-6,3,1,-4,-7,2]
[4,7,6,2,1,3,5]=>[6,-7,-4,2,1,3,5]
[4,7,6,2,5,1,3]=>[-4,6,-7,2,5,1,3]
[4,7,6,3,1,5,2]=>[-3,5,-6,-7,1,-4,2]
[4,7,6,3,2,1,5]=>[2,-6,-3,-7,-4,1,5]
[4,7,6,5,3,2,1]=>[2,-3,-5,-4,-6,-7,1]
[5,1,2,3,4,6,7]=>[1,2,5,3,4,6,7]
[5,1,2,3,4,7,6]=>[1,2,5,3,4,-7,6]
[5,1,2,3,6,4,7]=>[1,6,2,3,-5,4,7]
[5,1,2,3,6,7,4]=>[1,6,2,3,7,-5,4]
[5,1,2,3,7,4,6]=>[1,2,7,3,-5,4,6]
[5,1,2,3,7,6,4]=>[1,6,2,3,-5,-7,4]
[5,1,2,6,3,4,7]=>[1,6,-5,2,3,4,7]
[5,1,2,6,3,7,4]=>[7,1,2,-6,3,-5,4]
[5,1,2,6,4,7,3]=>[4,1,2,-6,7,-5,3]
[5,1,2,6,7,3,4]=>[1,6,-5,2,7,3,4]
[5,1,2,6,7,4,3]=>[7,1,2,4,-6,-5,3]
[5,1,2,7,3,4,6]=>[1,-5,7,2,3,4,6]
[5,1,2,7,3,6,4]=>[1,6,2,-7,3,-5,4]
[5,1,2,7,4,3,6]=>[4,1,-7,2,-5,3,6]
[5,1,2,7,4,6,3]=>[1,4,2,-7,6,-5,3]
[5,1,2,7,6,3,4]=>[1,6,-5,-7,2,3,4]
[5,1,2,7,6,4,3]=>[4,1,2,-6,-5,-7,3]
[5,1,3,4,2,6,7]=>[1,3,4,-5,2,6,7]
[5,1,3,4,7,6,2]=>[1,3,4,6,-5,-7,2]
[5,1,3,6,4,7,2]=>[3,1,4,-6,7,-5,2]
[5,1,3,6,7,4,2]=>[3,1,7,4,-6,-5,2]
[5,1,3,7,2,4,6]=>[3,-5,1,2,7,4,6]
[5,1,3,7,2,6,4]=>[3,1,-7,6,2,-5,4]
[5,1,3,7,4,2,6]=>[3,1,-7,4,-5,2,6]
[5,1,3,7,4,6,2]=>[1,3,4,-7,6,-5,2]
[5,1,3,7,6,4,2]=>[3,1,4,-6,-5,-7,2]
[5,1,4,2,6,7,3]=>[6,1,-4,2,7,-5,3]
[5,1,4,2,7,3,6]=>[1,7,-4,2,-5,3,6]
[5,1,4,2,7,6,3]=>[6,1,-4,2,-5,-7,3]
[5,1,4,6,2,7,3]=>[6,1,7,-4,2,-5,3]
[5,1,6,2,3,4,7]=>[5,6,1,2,3,4,7]
[5,1,6,2,3,7,4]=>[7,-6,1,2,3,-5,4]
[5,1,6,2,7,3,4]=>[7,-6,1,-5,2,3,4]
[5,1,6,2,7,4,3]=>[-4,1,-7,2,-6,-5,3]
[5,1,6,3,2,7,4]=>[-3,1,-7,-6,2,-5,4]
[5,1,6,3,4,7,2]=>[3,-6,1,4,7,-5,2]
[5,1,6,3,7,2,4]=>[-3,-6,-5,1,7,2,4]
[5,1,6,3,7,4,2]=>[-3,1,-7,4,-6,-5,2]
[5,1,6,4,7,3,2]=>[-7,1,-4,3,-6,-5,2]
[5,1,6,7,2,3,4]=>[5,6,1,2,7,3,4]
[5,1,6,7,3,2,4]=>[7,1,-6,-5,3,2,4]
[5,1,6,7,4,3,2]=>[-4,1,3,-7,-6,-5,2]
[5,1,7,2,3,4,6]=>[5,1,7,2,3,4,6]
[5,1,7,2,3,6,4]=>[-7,6,1,2,3,-5,4]
[5,1,7,2,6,3,4]=>[1,-7,6,-5,2,3,4]
[5,1,7,3,2,4,6]=>[-7,-3,-5,1,2,4,6]
[5,1,7,3,4,2,6]=>[-7,3,1,4,-5,2,6]
[5,1,7,3,4,6,2]=>[-7,3,1,4,6,-5,2]
[5,1,7,3,6,4,2]=>[3,1,-6,4,-7,-5,2]
[5,1,7,4,2,6,3]=>[-6,-4,1,-7,2,-5,3]
[5,1,7,4,3,6,2]=>[-3,-4,1,-7,6,-5,2]
[5,1,7,6,4,3,2]=>[-3,1,-4,-6,-5,-7,2]
[5,2,1,3,4,6,7]=>[5,-2,1,3,4,6,7]
[5,2,1,3,6,7,4]=>[-6,-2,1,3,7,-5,4]
[5,2,1,3,7,4,6]=>[7,-2,1,3,-5,4,6]
[5,2,1,3,7,6,4]=>[-6,-2,1,3,-5,-7,4]
[5,2,1,4,3,6,7]=>[-4,-2,1,-5,3,6,7]
[5,2,1,6,3,7,4]=>[-2,-7,1,-6,3,-5,4]
[5,2,1,6,4,3,7]=>[-2,-4,1,-6,-5,3,7]
[5,2,1,6,7,3,4]=>[-6,-2,-5,1,7,3,4]
[5,2,1,6,7,4,3]=>[-2,-7,1,4,-6,-5,3]
[5,2,1,7,3,4,6]=>[7,-2,-5,1,3,4,6]
[5,2,1,7,3,6,4]=>[-6,-2,1,-7,3,-5,4]
[5,2,1,7,4,3,6]=>[-2,-4,-7,1,-5,3,6]
[5,2,1,7,4,6,3]=>[-4,-2,1,-7,6,-5,3]
[5,2,1,7,6,3,4]=>[-6,-2,-5,-7,1,3,4]
[5,2,1,7,6,4,3]=>[-2,-4,1,-6,-5,-7,3]
[5,2,3,1,4,6,7]=>[2,-5,3,1,4,6,7]
[5,2,3,1,4,7,6]=>[2,-5,3,1,4,-7,6]
[5,2,3,1,6,7,4]=>[2,3,-6,1,7,-5,4]
[5,2,3,1,7,4,6]=>[2,-7,3,1,-5,4,6]
[5,2,3,4,1,6,7]=>[5,3,4,-2,1,6,7]
[5,2,3,4,6,1,7]=>[5,3,4,6,-2,1,7]
[5,2,3,4,6,7,1]=>[5,3,4,6,7,-2,1]
[5,2,3,4,7,1,6]=>[5,3,4,-2,7,1,6]
[5,2,3,4,7,6,1]=>[5,3,4,6,-2,-7,1]
[5,2,3,6,1,4,7]=>[2,-5,3,6,1,4,7]
[5,2,3,6,1,7,4]=>[2,3,7,-6,1,-5,4]
[5,2,3,6,7,1,4]=>[2,-5,3,6,7,1,4]
[5,2,3,6,7,4,1]=>[2,3,7,4,-6,-5,1]
[5,2,3,7,1,4,6]=>[2,-5,3,1,7,4,6]
[5,2,3,7,1,6,4]=>[2,3,-7,6,1,-5,4]
[5,2,3,7,4,1,6]=>[2,3,-7,4,-5,1,6]
[5,2,3,7,4,6,1]=>[7,3,4,-2,6,-5,1]
[5,2,3,7,6,4,1]=>[2,3,4,-6,-5,-7,1]
[5,2,4,3,6,7,1]=>[2,3,-4,6,7,-5,1]
[5,2,4,3,7,6,1]=>[2,3,-4,6,-5,-7,1]
[5,2,4,6,3,7,1]=>[2,6,3,-4,7,-5,1]
[5,2,4,7,3,1,6]=>[2,3,7,-4,-5,1,6]
[5,2,4,7,6,3,1]=>[2,6,3,-4,-5,-7,1]
[5,2,6,1,4,3,7]=>[-6,-2,4,1,-5,3,7]
[5,2,6,1,4,7,3]=>[-6,-2,4,1,7,-5,3]
[5,2,6,3,4,7,1]=>[2,-6,3,4,7,-5,1]
[5,2,6,3,7,1,4]=>[-2,-6,-5,3,7,1,4]
[5,2,6,4,1,3,7]=>[-6,-2,-5,4,1,3,7]
[5,2,6,4,7,1,3]=>[-6,-2,-5,4,7,1,3]
[5,2,6,7,1,3,4]=>[5,-2,1,6,7,3,4]
[5,2,6,7,3,1,4]=>[-2,3,-6,-5,7,1,4]
[5,2,6,7,3,4,1]=>[2,-6,7,3,4,-5,1]
[5,2,6,7,4,1,3]=>[-6,-2,7,-5,4,1,3]
[5,2,6,7,4,3,1]=>[-2,4,3,-7,-6,-5,1]
[5,2,7,1,3,4,6]=>[5,-2,1,3,7,4,6]
[5,2,7,1,4,6,3]=>[-7,-2,1,4,6,-5,3]
[5,2,7,1,6,3,4]=>[-7,-2,1,-5,6,3,4]
[5,2,7,3,1,4,6]=>[-7,-2,-5,3,1,4,6]
[5,2,7,3,1,6,4]=>[-2,-6,3,-7,1,-5,4]
[5,2,7,3,4,1,6]=>[-7,2,3,4,-5,1,6]
[5,2,7,3,4,6,1]=>[-7,2,3,4,6,-5,1]
[5,2,7,3,6,4,1]=>[2,3,-6,4,-7,-5,1]
[5,2,7,4,1,6,3]=>[-2,-4,6,-7,1,-5,3]
[5,2,7,4,3,1,6]=>[-2,3,-7,-4,-5,1,6]
[5,2,7,6,1,4,3]=>[-6,-2,-5,4,1,-7,3]
[5,2,7,6,3,4,1]=>[2,-6,-5,3,4,-7,1]
[5,2,7,6,4,1,3]=>[-6,-2,-5,-7,4,1,3]
[5,3,1,2,4,6,7]=>[5,3,1,2,4,6,7]
[5,3,1,2,6,7,4]=>[-6,3,1,2,7,-5,4]
[5,3,1,2,7,4,6]=>[7,3,1,2,-5,4,6]
[5,3,1,2,7,6,4]=>[-6,3,1,2,-5,-7,4]
[5,3,1,4,7,6,2]=>[-4,-5,1,6,-3,-7,2]
[5,3,1,6,2,7,4]=>[-7,-3,1,-6,2,-5,4]
[5,3,1,6,4,7,2]=>[-4,-3,1,-6,7,-5,2]
[5,3,1,6,7,4,2]=>[-7,-3,1,4,-6,-5,2]
[5,3,1,7,2,4,6]=>[-3,7,-5,1,2,4,6]
[5,3,1,7,2,6,4]=>[6,-3,1,-7,2,-5,4]
[5,3,1,7,4,2,6]=>[-4,-3,-7,1,-5,2,6]
[5,3,1,7,6,2,4]=>[6,-3,-5,-7,1,2,4]
[5,3,1,7,6,4,2]=>[-4,-3,1,-6,-5,-7,2]
[5,3,2,1,4,6,7]=>[-2,-5,-3,1,4,6,7]
[5,3,2,1,4,7,6]=>[-2,-5,-3,1,4,-7,6]
[5,3,2,1,7,4,6]=>[-2,-7,-3,1,-5,4,6]
[5,3,2,1,7,6,4]=>[-2,-3,-6,1,-5,-7,4]
[5,3,2,4,1,6,7]=>[-2,-5,4,-3,1,6,7]
[5,3,2,4,6,1,7]=>[-2,-5,4,6,-3,1,7]
[5,3,2,4,6,7,1]=>[-2,-5,4,6,7,-3,1]
[5,3,2,4,7,6,1]=>[-2,-5,4,6,-3,-7,1]
[5,3,2,6,1,4,7]=>[-2,-5,-3,6,1,4,7]
[5,3,2,6,4,1,7]=>[-2,-3,4,-6,-5,1,7]
[5,3,2,7,1,6,4]=>[-2,-3,-7,6,1,-5,4]
[5,3,4,1,2,6,7]=>[5,3,4,1,2,6,7]
[5,3,4,1,6,7,2]=>[4,6,-3,1,7,-5,2]
[5,3,4,1,7,2,6]=>[4,-3,7,1,-5,2,6]
[5,3,4,2,1,6,7]=>[4,2,-3,-5,1,6,7]
[5,3,4,2,6,1,7]=>[4,2,-3,6,-5,1,7]
[5,3,4,2,6,7,1]=>[4,2,-3,6,7,-5,1]
[5,3,4,2,7,6,1]=>[4,2,-3,6,-5,-7,1]
[5,3,4,6,1,2,7]=>[5,3,4,6,1,2,7]
[5,3,4,6,2,1,7]=>[4,6,2,-3,-5,1,7]
[5,3,4,6,2,7,1]=>[4,6,2,-3,7,-5,1]
[5,3,4,7,2,6,1]=>[4,7,-3,2,6,-5,1]
[5,3,6,1,2,7,4]=>[-6,3,7,1,2,-5,4]
[5,3,6,1,4,7,2]=>[-6,-5,4,1,7,-3,2]
[5,3,6,2,1,4,7]=>[6,2,-5,-3,1,4,7]
[5,3,6,2,4,1,7]=>[-6,-5,2,4,-3,1,7]
[5,3,6,2,4,7,1]=>[-6,-5,2,4,7,-3,1]
[5,3,6,2,7,1,4]=>[6,2,-5,-3,7,1,4]
[5,3,6,7,1,4,2]=>[-6,-5,7,4,1,-3,2]
[5,3,6,7,2,1,4]=>[6,2,7,-5,-3,1,4]
[5,3,6,7,2,4,1]=>[-6,-5,7,2,4,-3,1]
[5,3,7,1,2,4,6]=>[5,3,1,2,7,4,6]
[5,3,7,1,6,2,4]=>[7,-3,1,-5,6,2,4]
[5,3,7,1,6,4,2]=>[-6,-3,4,1,-7,-5,2]
[5,3,7,2,1,4,6]=>[2,7,-5,-3,1,4,6]
[5,3,7,4,1,2,6]=>[7,3,-5,4,1,2,6]
[5,3,7,4,2,1,6]=>[-4,2,-7,-3,-5,1,6]
[5,3,7,6,4,1,2]=>[-6,3,-5,-7,4,1,2]
[5,3,7,6,4,2,1]=>[-4,2,-3,-6,-5,-7,1]
[5,4,1,2,3,6,7]=>[5,1,4,2,3,6,7]
[5,4,1,2,6,7,3]=>[-4,6,1,2,7,-5,3]
[5,4,1,2,7,3,6]=>[-4,1,7,2,-5,3,6]
[5,4,1,2,7,6,3]=>[-4,6,1,2,-5,-7,3]
[5,4,1,6,2,7,3]=>[-7,-6,1,-4,2,-5,3]
[5,4,1,6,7,3,2]=>[-7,-6,1,3,-4,-5,2]
[5,4,1,7,2,3,6]=>[-4,-5,7,1,2,3,6]
[5,4,1,7,6,2,3]=>[-4,6,-5,-7,1,2,3]
[5,4,1,7,6,3,2]=>[-3,-6,1,-4,-5,-7,2]
[5,4,2,1,3,6,7]=>[-4,-5,-2,1,3,6,7]
[5,4,2,1,3,7,6]=>[-4,-5,-2,1,3,-7,6]
[5,4,2,1,6,7,3]=>[-2,-6,-4,1,7,-5,3]
[5,4,2,1,7,3,6]=>[-7,-2,-4,1,-5,3,6]
[5,4,2,1,7,6,3]=>[-2,-6,-4,1,-5,-7,3]
[5,4,2,3,1,6,7]=>[-4,2,3,-5,1,6,7]
[5,4,2,3,6,1,7]=>[-4,2,3,6,-5,1,7]
[5,4,2,6,1,3,7]=>[-4,-5,-2,6,1,3,7]
[5,4,2,6,1,7,3]=>[-2,-6,7,-4,1,-5,3]
[5,4,2,6,7,1,3]=>[-4,-5,-2,6,7,1,3]
[5,4,2,7,3,1,6]=>[-7,-2,3,-4,-5,1,6]
[5,4,3,1,2,6,7]=>[-4,-5,3,1,2,6,7]
[5,4,3,1,7,2,6]=>[7,-3,-4,1,-5,2,6]
[5,4,3,1,7,6,2]=>[-6,-3,-4,1,-5,-7,2]
[5,4,3,2,1,6,7]=>[-2,-3,-4,-5,1,6,7]
[5,4,3,2,1,7,6]=>[-2,-3,-4,-5,1,-7,6]
[5,4,3,2,6,1,7]=>[-2,-3,-4,6,-5,1,7]
[5,4,3,2,6,7,1]=>[-2,-3,-4,6,7,-5,1]
[5,4,3,2,7,1,6]=>[-2,-3,-4,-5,7,1,6]
[5,4,3,2,7,6,1]=>[-2,-3,-4,6,-5,-7,1]
[5,4,3,6,1,2,7]=>[-4,-5,3,6,1,2,7]
[5,4,3,6,1,7,2]=>[-6,-3,7,-4,1,-5,2]
[5,4,3,6,2,1,7]=>[-6,-3,2,-4,-5,1,7]
[5,4,3,6,2,7,1]=>[-6,-3,2,-4,7,-5,1]
[5,4,3,6,7,2,1]=>[-6,-3,7,2,-4,-5,1]
[5,4,3,7,6,2,1]=>[-6,-3,2,-4,-5,-7,1]
[5,4,6,1,2,3,7]=>[5,1,4,6,2,3,7]
[5,4,6,1,7,3,2]=>[-7,3,-6,1,-4,-5,2]
[5,4,6,2,1,3,7]=>[6,-4,-5,2,1,3,7]
[5,4,6,2,3,1,7]=>[-4,6,2,3,-5,1,7]
[5,4,6,2,7,1,3]=>[6,-4,-5,2,7,1,3]
[5,4,6,3,1,2,7]=>[-4,6,-5,3,1,2,7]
[5,4,6,3,1,7,2]=>[-3,7,-6,-4,1,-5,2]
[5,4,6,3,2,1,7]=>[-3,2,-6,-4,-5,1,7]
[5,4,6,3,2,7,1]=>[-3,2,-6,-4,7,-5,1]
[5,4,6,3,7,2,1]=>[-3,7,-6,2,-4,-5,1]
[5,4,6,7,3,2,1]=>[-7,3,2,-6,-4,-5,1]
[5,4,7,1,2,3,6]=>[5,1,4,2,7,3,6]
[5,4,7,1,2,6,3]=>[-4,7,1,6,2,-5,3]
[5,4,7,2,1,3,6]=>[-4,7,-5,2,1,3,6]
[5,4,7,6,3,2,1]=>[-3,2,-6,-4,-5,-7,1]
[5,6,1,2,3,4,7]=>[1,2,5,6,3,4,7]
[5,6,1,2,3,7,4]=>[1,6,7,2,3,-5,4]
[5,6,1,2,4,7,3]=>[1,6,4,2,7,-5,3]
[5,6,1,2,7,3,4]=>[1,6,7,-5,2,3,4]
[5,6,1,3,4,7,2]=>[1,6,3,4,7,-5,2]
[5,6,1,4,3,2,7]=>[4,3,1,-6,-5,2,7]
[5,6,1,7,2,3,4]=>[5,6,7,1,2,3,4]
[5,6,2,1,3,4,7]=>[-5,6,2,1,3,4,7]
[5,6,2,3,1,4,7]=>[2,6,-5,3,1,4,7]
[5,6,2,3,4,1,7]=>[5,6,3,4,-2,1,7]
[5,6,2,3,4,7,1]=>[5,6,3,4,7,-2,1]
[5,6,2,3,7,4,1]=>[7,2,3,4,-6,-5,1]
[5,6,2,4,7,1,3]=>[2,-5,6,4,7,1,3]
[5,6,2,7,3,1,4]=>[-7,2,-6,-5,3,1,4]
[5,6,2,7,3,4,1]=>[7,2,-6,3,4,-5,1]
[5,6,2,7,4,1,3]=>[-7,-6,2,-5,4,1,3]
[5,6,2,7,4,3,1]=>[2,-4,3,-7,-6,-5,1]
[5,6,3,1,2,4,7]=>[5,6,3,1,2,4,7]
[5,6,3,1,4,2,7]=>[-3,-6,4,1,-5,2,7]
[5,6,3,2,1,4,7]=>[2,-6,-5,-3,1,4,7]
[5,6,3,2,4,1,7]=>[-3,-6,2,4,-5,1,7]
[5,6,3,2,4,7,1]=>[-3,-6,2,4,7,-5,1]
[5,6,3,2,7,1,4]=>[2,-6,-5,-3,7,1,4]
[5,6,3,4,1,2,7]=>[5,6,3,4,1,2,7]
[5,6,3,4,2,1,7]=>[3,4,2,-6,-5,1,7]
[5,6,3,4,7,1,2]=>[5,6,3,4,7,1,2]
[5,6,3,7,1,2,4]=>[5,6,3,1,7,2,4]
[5,6,3,7,2,1,4]=>[-3,7,-6,-5,2,1,4]
[5,6,3,7,4,1,2]=>[7,-6,3,-5,4,1,2]
[5,6,3,7,4,2,1]=>[4,-3,2,-7,-6,-5,1]
[5,6,4,1,2,3,7]=>[5,6,1,4,2,3,7]
[5,6,4,1,3,7,2]=>[4,-6,3,1,7,-5,2]
[5,6,4,2,1,3,7]=>[-4,-6,-5,2,1,3,7]
[5,6,4,2,3,1,7]=>[4,-6,2,3,-5,1,7]
[5,6,4,3,1,2,7]=>[4,-6,-5,3,1,2,7]
[5,6,4,3,2,1,7]=>[2,-3,-4,-6,-5,1,7]
[5,6,4,3,2,7,1]=>[2,-3,-4,-6,7,-5,1]
[5,6,4,3,7,2,1]=>[7,-3,-4,2,-6,-5,1]
[5,6,4,7,2,3,1]=>[4,-6,7,2,3,-5,1]
[5,6,4,7,3,2,1]=>[3,-7,2,-4,-6,-5,1]
[5,6,7,1,2,3,4]=>[1,2,5,6,7,3,4]
[5,6,7,1,2,4,3]=>[1,6,7,4,2,-5,3]
[5,6,7,1,3,2,4]=>[3,6,7,-5,1,2,4]
[5,6,7,1,3,4,2]=>[1,6,7,3,4,-5,2]
[5,6,7,1,4,2,3]=>[1,6,7,-5,4,2,3]
[5,6,7,2,3,1,4]=>[2,6,7,-5,3,1,4]
[5,6,7,2,3,4,1]=>[5,6,7,3,4,-2,1]
[5,6,7,2,4,3,1]=>[7,4,2,3,-6,-5,1]
[5,6,7,3,1,2,4]=>[5,6,7,3,1,2,4]
[5,6,7,3,1,4,2]=>[7,-3,-6,4,1,-5,2]
[5,6,7,3,4,2,1]=>[7,3,4,2,-6,-5,1]
[5,6,7,4,1,2,3]=>[5,6,7,1,4,2,3]
[5,6,7,4,1,3,2]=>[7,4,-6,3,1,-5,2]
[5,6,7,4,2,3,1]=>[7,4,-6,2,3,-5,1]
[5,6,7,4,3,1,2]=>[7,4,-6,-5,3,1,2]
[5,6,7,4,3,2,1]=>[3,2,-4,-7,-6,-5,1]
[5,7,1,2,3,4,6]=>[1,2,5,3,7,4,6]
[5,7,1,2,3,6,4]=>[1,7,2,6,3,-5,4]
[5,7,1,2,4,3,6]=>[1,4,7,2,-5,3,6]
[5,7,1,2,6,3,4]=>[1,7,2,-5,6,3,4]
[5,7,1,2,6,4,3]=>[6,1,4,2,-7,-5,3]
[5,7,1,3,2,4,6]=>[3,-5,7,1,2,4,6]
[5,7,1,3,2,6,4]=>[3,6,1,-7,2,-5,4]
[5,7,1,3,6,4,2]=>[6,1,3,4,-7,-5,2]
[5,7,1,4,3,6,2]=>[7,3,1,-4,6,-5,2]
[5,7,1,6,2,4,3]=>[6,1,-7,4,2,-5,3]
[5,7,1,6,4,3,2]=>[-4,3,1,-6,-7,-5,2]
[5,7,2,1,4,3,6]=>[-7,-4,2,1,-5,3,6]
[5,7,2,3,1,4,6]=>[2,-5,7,3,1,4,6]
[5,7,2,3,4,1,6]=>[5,3,7,4,-2,1,6]
[5,7,2,3,6,1,4]=>[2,3,-5,7,6,1,4]
[5,7,2,4,1,6,3]=>[2,4,6,-7,1,-5,3]
[5,7,2,6,1,3,4]=>[5,7,2,1,6,3,4]
[5,7,2,6,4,1,3]=>[6,-7,2,-5,4,1,3]
[5,7,3,1,4,6,2]=>[3,-7,4,1,6,-5,2]
[5,7,3,2,1,4,6]=>[-7,2,-5,-3,1,4,6]
[5,7,3,2,1,6,4]=>[2,-6,-3,-7,1,-5,4]
[5,7,3,2,4,1,6]=>[-7,-3,2,4,-5,1,6]
[5,7,3,4,1,6,2]=>[7,4,6,-3,1,-5,2]
[5,7,3,4,2,1,6]=>[3,4,-7,2,-5,1,6]
[5,7,3,6,1,4,2]=>[3,-7,6,4,1,-5,2]
[5,7,3,6,2,1,4]=>[-3,2,-7,-5,6,1,4]
[5,7,4,1,2,6,3]=>[-7,4,6,1,2,-5,3]
[5,7,4,1,3,6,2]=>[-7,4,3,1,6,-5,2]
[5,7,4,1,6,3,2]=>[-6,3,-4,1,-7,-5,2]
[5,7,4,2,1,3,6]=>[-7,-4,-5,2,1,3,6]
[5,7,4,2,6,1,3]=>[4,-7,-5,2,6,1,3]
[5,7,4,3,1,6,2]=>[6,-3,-7,-4,1,-5,2]
[5,7,4,3,2,1,6]=>[2,-3,-7,-4,-5,1,6]
[5,7,6,2,3,1,4]=>[5,6,2,-7,3,1,4]
[5,7,6,3,4,1,2]=>[5,-7,6,3,4,1,2]
[5,7,6,4,1,3,2]=>[4,-6,-5,3,1,-7,2]
[5,7,6,4,3,2,1]=>[2,-3,-4,-6,-5,-7,1]
[6,1,2,3,4,5,7]=>[1,2,3,6,4,5,7]
[6,1,2,3,4,7,5]=>[1,2,7,3,4,-6,5]
[6,1,2,3,7,4,5]=>[1,2,7,-6,3,4,5]
[6,1,2,3,7,5,4]=>[1,5,2,3,-7,-6,4]
[6,1,2,4,7,5,3]=>[1,4,2,5,-7,-6,3]
[6,1,2,5,3,7,4]=>[1,7,2,-5,3,-6,4]
[6,1,2,7,3,4,5]=>[-6,1,7,2,3,4,5]
[6,1,2,7,3,5,4]=>[1,5,-7,2,3,-6,4]
[6,1,2,7,4,3,5]=>[4,1,-7,-6,2,3,5]
[6,1,2,7,4,5,3]=>[1,4,-7,2,5,-6,3]
[6,1,2,7,5,3,4]=>[1,5,-7,-6,2,3,4]
[6,1,2,7,5,4,3]=>[4,1,2,-5,-7,-6,3]
[6,1,3,2,7,5,4]=>[3,1,-5,2,-7,-6,4]
[6,1,3,4,2,7,5]=>[1,3,4,-7,2,-6,5]
[6,1,3,4,5,2,7]=>[1,6,4,5,-3,2,7]
[6,1,3,4,5,7,2]=>[1,6,4,5,7,-3,2]
[6,1,3,4,7,2,5]=>[1,3,-6,4,7,2,5]
[6,1,3,4,7,5,2]=>[1,3,4,5,-7,-6,2]
[6,1,3,5,7,2,4]=>[1,-6,3,5,7,2,4]
[6,1,3,7,2,4,5]=>[-6,3,1,2,7,4,5]
[6,1,3,7,2,5,4]=>[3,-7,1,5,2,-6,4]
[6,1,3,7,4,2,5]=>[3,1,-7,-6,4,2,5]
[6,1,3,7,4,5,2]=>[1,3,-7,4,5,-6,2]
[6,1,3,7,5,4,2]=>[3,1,4,-5,-7,-6,2]
[6,1,4,2,3,7,5]=>[1,-7,4,2,3,-6,5]
[6,1,4,2,5,7,3]=>[5,-4,1,2,7,-6,3]
[6,1,4,2,7,5,3]=>[5,1,-4,2,-7,-6,3]
[6,1,4,3,2,7,5]=>[3,1,-4,-7,2,-6,5]
[6,1,4,3,7,5,2]=>[3,1,-4,5,-7,-6,2]
[6,1,4,5,2,7,3]=>[1,5,7,-4,2,-6,3]
[6,1,4,7,2,3,5]=>[-6,1,4,2,7,3,5]
[6,1,4,7,2,5,3]=>[7,-4,1,5,2,-6,3]
[6,1,4,7,5,2,3]=>[1,-7,4,-6,5,2,3]
[6,1,4,7,5,3,2]=>[5,1,3,-4,-7,-6,2]
[6,1,5,2,3,7,4]=>[1,-5,7,2,3,-6,4]
[6,1,5,2,7,3,4]=>[1,-5,7,-6,2,3,4]
[6,1,5,4,7,2,3]=>[1,-5,-6,4,7,2,3]
[6,1,5,7,2,3,4]=>[-6,1,2,5,7,3,4]
[6,1,7,2,3,4,5]=>[1,6,7,2,3,4,5]
[6,1,7,2,3,5,4]=>[7,5,1,2,3,-6,4]
[6,1,7,2,4,3,5]=>[-7,4,1,-6,2,3,5]
[6,1,7,2,5,3,4]=>[7,5,1,-6,2,3,4]
[6,1,7,2,5,4,3]=>[4,-5,1,2,-7,-6,3]
[6,1,7,3,2,4,5]=>[-7,-6,-3,1,2,4,5]
[6,1,7,3,2,5,4]=>[-3,-5,-7,1,2,-6,4]
[6,1,7,3,4,2,5]=>[-7,3,1,-6,4,2,5]
[6,1,7,3,4,5,2]=>[7,3,1,4,5,-6,2]
[6,1,7,3,5,4,2]=>[3,-5,1,4,-7,-6,2]
[6,1,7,4,5,3,2]=>[5,-4,1,3,-7,-6,2]
[6,1,7,5,2,3,4]=>[7,-6,5,1,2,3,4]
[6,1,7,5,2,4,3]=>[4,-5,-7,1,2,-6,3]
[6,1,7,5,4,3,2]=>[-3,1,-4,-5,-7,-6,2]
[6,2,1,3,4,5,7]=>[-2,6,1,3,4,5,7]
[6,2,1,3,4,7,5]=>[7,-2,1,3,4,-6,5]
[6,2,1,3,7,4,5]=>[7,-2,1,-6,3,4,5]
[6,2,1,3,7,5,4]=>[-5,-2,1,3,-7,-6,4]
[6,2,1,4,5,3,7]=>[4,-2,1,5,-6,3,7]
[6,2,1,4,7,3,5]=>[-4,-2,-6,1,7,3,5]
[6,2,1,4,7,5,3]=>[-4,-2,1,5,-7,-6,3]
[6,2,1,5,4,3,7]=>[-4,-2,1,-5,-6,3,7]
[6,2,1,5,7,3,4]=>[5,-2,-6,1,7,3,4]
[6,2,1,7,3,4,5]=>[7,-6,-2,1,3,4,5]
[6,2,1,7,4,3,5]=>[-2,-4,-7,-6,1,3,5]
[6,2,1,7,4,5,3]=>[-4,-2,-7,1,5,-6,3]
[6,2,1,7,5,4,3]=>[-2,-4,1,-5,-7,-6,3]
[6,2,3,1,4,5,7]=>[-6,2,3,1,4,5,7]
[6,2,3,1,4,7,5]=>[2,-7,3,1,4,-6,5]
[6,2,3,1,5,4,7]=>[2,-5,3,1,-6,4,7]
[6,2,3,1,7,4,5]=>[2,-7,3,-6,1,4,5]
[6,2,3,1,7,5,4]=>[2,3,-5,1,-7,-6,4]
[6,2,3,4,1,5,7]=>[3,6,4,-2,1,5,7]
[6,2,3,4,1,7,5]=>[7,3,4,-2,1,-6,5]
[6,2,3,4,5,1,7]=>[3,6,4,5,-2,1,7]
[6,2,3,4,5,7,1]=>[3,6,4,5,7,-2,1]
[6,2,3,4,7,1,5]=>[3,6,4,-2,7,1,5]
[6,2,3,4,7,5,1]=>[7,3,4,5,-2,-6,1]
[6,2,3,5,4,7,1]=>[5,3,4,-2,7,-6,1]
[6,2,3,5,7,4,1]=>[5,3,7,4,-2,-6,1]
[6,2,3,7,1,4,5]=>[-6,2,3,1,7,4,5]
[6,2,3,7,1,5,4]=>[2,-7,3,5,1,-6,4]
[6,2,3,7,4,1,5]=>[2,3,-7,-6,4,1,5]
[6,2,3,7,4,5,1]=>[7,3,-2,4,5,-6,1]
[6,2,3,7,5,1,4]=>[2,-7,3,-6,5,1,4]
[6,2,4,1,3,7,5]=>[-7,2,4,1,3,-6,5]
[6,2,4,3,5,7,1]=>[2,-4,3,5,7,-6,1]
[6,2,4,3,7,1,5]=>[2,3,-6,-4,7,1,5]
[6,2,4,5,3,1,7]=>[4,5,3,-2,-6,1,7]
[6,2,4,5,3,7,1]=>[4,5,3,-2,7,-6,1]
[6,2,4,5,7,1,3]=>[-2,6,4,5,7,1,3]
[6,2,4,5,7,3,1]=>[4,5,7,3,-2,-6,1]
[6,2,4,7,1,3,5]=>[6,2,4,1,7,3,5]
[6,2,4,7,5,1,3]=>[-7,2,4,-6,5,1,3]
[6,2,5,1,7,3,4]=>[-5,2,7,-6,1,3,4]
[6,2,5,3,1,7,4]=>[2,3,-7,-5,1,-6,4]
[6,2,5,3,7,1,4]=>[2,-5,-6,3,7,1,4]
[6,2,5,4,3,1,7]=>[2,3,-4,-5,-6,1,7]
[6,2,5,4,3,7,1]=>[2,3,-4,-5,7,-6,1]
[6,2,5,7,1,3,4]=>[6,2,1,5,7,3,4]
[6,2,5,7,3,4,1]=>[5,-2,7,3,4,-6,1]
[6,2,7,1,3,4,5]=>[-2,6,1,3,7,4,5]
[6,2,7,1,3,5,4]=>[7,-2,1,5,3,-6,4]
[6,2,7,1,4,3,5]=>[7,-2,4,-6,1,3,5]
[6,2,7,1,5,4,3]=>[-5,-2,4,1,-7,-6,3]
[6,2,7,3,1,4,5]=>[-7,-6,-2,3,1,4,5]
[6,2,7,3,4,5,1]=>[7,2,3,4,5,-6,1]
[6,2,7,3,5,1,4]=>[-7,2,-6,3,5,1,4]
[6,2,7,4,1,5,3]=>[-2,-4,-7,5,1,-6,3]
[6,2,7,4,3,1,5]=>[-2,3,-7,-6,-4,1,5]
[6,2,7,4,5,1,3]=>[-7,-6,2,4,5,1,3]
[6,2,7,5,1,3,4]=>[7,-6,-2,1,5,3,4]
[6,2,7,5,1,4,3]=>[-5,-2,-7,4,1,-6,3]
[6,2,7,5,4,1,3]=>[-5,-2,-7,-6,4,1,3]
[6,3,1,2,4,5,7]=>[3,6,1,2,4,5,7]
[6,3,1,2,4,7,5]=>[7,3,1,2,4,-6,5]
[6,3,1,2,7,4,5]=>[7,3,1,-6,2,4,5]
[6,3,1,2,7,5,4]=>[-5,3,1,2,-7,-6,4]
[6,3,1,4,2,7,5]=>[-4,-7,1,-3,2,-6,5]
[6,3,1,5,2,7,4]=>[-7,-5,1,-3,2,-6,4]
[6,3,1,5,4,7,2]=>[-4,-5,1,-3,7,-6,2]
[6,3,1,5,7,2,4]=>[-6,5,1,-3,7,2,4]
[6,3,1,5,7,4,2]=>[-7,-5,1,4,-3,-6,2]
[6,3,1,7,2,4,5]=>[-3,-6,7,1,2,4,5]
[6,3,1,7,4,5,2]=>[-4,-7,-3,1,5,-6,2]
[6,3,1,7,5,4,2]=>[-4,-3,1,-5,-7,-6,2]
[6,3,2,1,4,5,7]=>[-6,-2,-3,1,4,5,7]
[6,3,2,1,4,7,5]=>[-2,-7,-3,1,4,-6,5]
[6,3,2,1,7,4,5]=>[-2,-7,-3,-6,1,4,5]
[6,3,2,4,1,5,7]=>[-6,-2,4,-3,1,5,7]
[6,3,2,4,5,1,7]=>[2,-6,4,5,-3,1,7]
[6,3,2,4,5,7,1]=>[2,-6,4,5,7,-3,1]
[6,3,2,4,7,1,5]=>[-6,-2,4,-3,7,1,5]
[6,3,2,5,1,4,7]=>[-6,-2,-3,5,1,4,7]
[6,3,2,5,4,1,7]=>[-2,-5,4,-3,-6,1,7]
[6,3,2,5,4,7,1]=>[-2,-5,4,-3,7,-6,1]
[6,3,2,7,5,1,4]=>[-2,-7,-3,-6,5,1,4]
[6,3,4,1,2,5,7]=>[3,6,4,1,2,5,7]
[6,3,4,1,2,7,5]=>[7,3,4,1,2,-6,5]
[6,3,4,1,7,2,5]=>[4,-3,7,-6,1,2,5]
[6,3,4,1,7,5,2]=>[4,5,-3,1,-7,-6,2]
[6,3,4,2,1,5,7]=>[4,2,-6,-3,1,5,7]
[6,3,4,2,5,1,7]=>[4,-3,2,5,-6,1,7]
[6,3,4,2,5,7,1]=>[4,-3,2,5,7,-6,1]
[6,3,4,5,1,2,7]=>[3,6,4,5,1,2,7]
[6,3,4,5,1,7,2]=>[4,5,7,-6,1,-3,2]
[6,3,4,5,2,1,7]=>[4,5,2,-6,-3,1,7]
[6,3,4,5,2,7,1]=>[4,5,2,-6,7,-3,1]
[6,3,4,5,7,1,2]=>[3,6,4,5,7,1,2]
[6,3,4,5,7,2,1]=>[4,5,7,2,-6,-3,1]
[6,3,4,7,1,5,2]=>[4,-3,7,5,1,-6,2]
[6,3,4,7,2,1,5]=>[4,2,7,-6,-3,1,5]
[6,3,4,7,2,5,1]=>[4,-3,7,2,5,-6,1]
[6,3,4,7,5,1,2]=>[7,3,4,-6,5,1,2]
[6,3,4,7,5,2,1]=>[4,5,2,-3,-7,-6,1]
[6,3,5,1,2,7,4]=>[5,3,7,1,2,-6,4]
[6,3,5,1,7,2,4]=>[-3,5,7,-6,1,2,4]
[6,3,5,4,2,1,7]=>[4,2,-3,-5,-6,1,7]
[6,3,5,4,2,7,1]=>[4,2,-3,-5,7,-6,1]
[6,3,5,7,1,2,4]=>[3,6,1,5,7,2,4]
[6,3,5,7,4,1,2]=>[5,3,7,-6,4,1,2]
[6,3,5,7,4,2,1]=>[7,4,2,-3,-5,-6,1]
[6,3,7,1,2,4,5]=>[3,6,1,2,7,4,5]
[6,3,7,1,2,5,4]=>[7,3,1,5,2,-6,4]
[6,3,7,1,4,2,5]=>[-6,7,4,1,-3,2,5]
[6,3,7,1,4,5,2]=>[7,-6,1,4,5,-3,2]
[6,3,7,1,5,4,2]=>[-5,-7,4,1,-3,-6,2]
[6,3,7,2,1,4,5]=>[2,-6,7,-3,1,4,5]
[6,3,7,2,4,1,5]=>[-6,7,2,4,-3,1,5]
[6,3,7,2,4,5,1]=>[2,-6,7,4,5,-3,1]
[6,3,7,4,5,1,2]=>[7,-6,3,4,5,1,2]
[6,3,7,4,5,2,1]=>[4,-3,5,2,-7,-6,1]
[6,3,7,5,1,4,2]=>[-5,-7,-3,4,1,-6,2]
[6,3,7,5,2,1,4]=>[5,2,-7,-6,-3,1,4]
[6,4,1,2,3,5,7]=>[1,6,4,2,3,5,7]
[6,4,1,2,3,7,5]=>[7,1,4,2,3,-6,5]
[6,4,1,2,7,3,5]=>[-4,1,7,-6,2,3,5]
[6,4,1,2,7,5,3]=>[-4,5,1,2,-7,-6,3]
[6,4,1,5,2,7,3]=>[-7,-5,1,-6,2,-4,3]
[6,4,1,5,7,2,3]=>[-6,5,-4,1,7,2,3]
[6,4,1,5,7,3,2]=>[-7,-5,1,3,-6,-4,2]
[6,4,1,7,2,3,5]=>[-6,-4,7,1,2,3,5]
[6,4,1,7,2,5,3]=>[5,-7,-4,1,2,-6,3]
[6,4,1,7,5,2,3]=>[-4,5,-7,-6,1,2,3]
[6,4,1,7,5,3,2]=>[-3,-5,1,-4,-7,-6,2]
[6,4,2,1,3,5,7]=>[-6,-4,-2,1,3,5,7]
[6,4,2,1,3,7,5]=>[-4,-7,-2,1,3,-6,5]
[6,4,2,1,5,3,7]=>[-2,-5,-6,1,-4,3,7]
[6,4,2,1,7,3,5]=>[-7,-2,-4,-6,1,3,5]
[6,4,2,1,7,5,3]=>[-2,-5,-4,1,-7,-6,3]
[6,4,2,3,1,5,7]=>[-4,2,-6,3,1,5,7]
[6,4,2,3,1,7,5]=>[-4,2,3,-7,1,-6,5]
[6,4,2,3,5,1,7]=>[4,2,3,5,-6,1,7]
[6,4,2,3,7,1,5]=>[-4,2,-6,3,7,1,5]
[6,4,2,5,1,3,7]=>[-6,-4,-2,5,1,3,7]
[6,4,2,5,7,1,3]=>[-6,-4,-2,5,7,1,3]
[6,4,2,7,1,3,5]=>[-6,-4,-2,1,7,3,5]
[6,4,2,7,3,5,1]=>[2,-7,-4,3,5,-6,1]
[6,4,2,7,5,3,1]=>[-2,-5,3,-4,-7,-6,1]
[6,4,3,1,2,5,7]=>[-6,-4,3,1,2,5,7]
[6,4,3,1,2,7,5]=>[-4,-7,3,1,2,-6,5]
[6,4,3,1,5,7,2]=>[-5,-3,-6,1,7,-4,2]
[6,4,3,1,7,2,5]=>[7,-3,-4,-6,1,2,5]
[6,4,3,2,1,5,7]=>[-2,-3,-6,-4,1,5,7]
[6,4,3,2,1,7,5]=>[-2,-3,-4,-7,1,-6,5]
[6,4,3,2,5,1,7]=>[-2,-3,-6,5,-4,1,7]
[6,4,3,2,5,7,1]=>[-2,-3,-6,5,7,-4,1]
[6,4,3,2,7,1,5]=>[-2,-3,-6,-4,7,1,5]
[6,4,3,5,1,2,7]=>[-6,-4,3,5,1,2,7]
[6,4,3,5,1,7,2]=>[-5,-3,7,-6,1,-4,2]
[6,4,3,5,2,1,7]=>[-5,-3,2,-6,-4,1,7]
[6,4,3,5,2,7,1]=>[-5,-3,2,-6,7,-4,1]
[6,4,3,5,7,2,1]=>[-5,-3,7,2,-6,-4,1]
[6,4,3,7,1,2,5]=>[-6,-4,3,1,7,2,5]
[6,4,5,1,2,3,7]=>[1,6,4,5,2,3,7]
[6,4,5,2,1,3,7]=>[2,-4,-6,5,1,3,7]
[6,4,5,2,1,7,3]=>[7,2,-5,-4,1,-6,3]
[6,4,5,2,3,1,7]=>[4,5,2,3,-6,1,7]
[6,4,5,2,7,1,3]=>[2,-4,-6,5,7,1,3]
[6,4,5,3,1,2,7]=>[4,5,-6,3,1,2,7]
[6,4,5,3,2,1,7]=>[3,2,-5,-4,-6,1,7]
[6,4,5,7,1,2,3]=>[1,6,4,5,7,2,3]
[6,4,5,7,3,2,1]=>[7,3,2,-5,-4,-6,1]
[6,4,7,1,2,3,5]=>[1,6,4,2,7,3,5]
[6,4,7,1,2,5,3]=>[4,7,1,5,2,-6,3]
[6,4,7,1,3,5,2]=>[4,7,1,3,5,-6,2]
[6,4,7,1,5,3,2]=>[-5,-7,3,1,-6,-4,2]
[6,4,7,2,1,3,5]=>[-4,-6,7,2,1,3,5]
[6,4,7,2,3,5,1]=>[4,2,7,3,5,-6,1]
[6,4,7,2,5,1,3]=>[-6,7,-4,2,5,1,3]
[6,4,7,3,1,2,5]=>[-6,-4,7,3,1,2,5]
[6,4,7,3,1,5,2]=>[3,5,-7,-6,1,-4,2]
[6,4,7,3,2,1,5]=>[-3,-7,2,-6,-4,1,5]
[6,4,7,3,2,5,1]=>[3,2,-7,-6,5,-4,1]
[6,4,7,5,1,2,3]=>[-6,7,4,1,5,2,3]
[6,4,7,5,2,1,3]=>[5,-4,-7,-6,2,1,3]
[6,4,7,5,2,3,1]=>[-4,5,-7,2,3,-6,1]
[6,4,7,5,3,1,2]=>[-4,5,-7,-6,3,1,2]
[6,4,7,5,3,2,1]=>[-3,2,-5,-4,-7,-6,1]
[6,5,1,2,3,4,7]=>[1,6,2,5,3,4,7]
[6,5,1,2,3,7,4]=>[5,1,7,2,3,-6,4]
[6,5,1,2,7,3,4]=>[5,1,7,-6,2,3,4]
[6,5,1,2,7,4,3]=>[-7,4,1,2,-5,-6,3]
[6,5,1,3,2,7,4]=>[-7,3,1,-5,2,-6,4]
[6,5,1,3,7,4,2]=>[-7,3,1,4,-5,-6,2]
[6,5,1,7,2,4,3]=>[-7,4,-5,1,2,-6,3]
[6,5,1,7,4,3,2]=>[-3,-4,1,-7,-5,-6,2]
[6,5,2,1,3,4,7]=>[-6,5,-2,1,3,4,7]
[6,5,2,1,3,7,4]=>[-7,-5,-2,1,3,-6,4]
[6,5,2,1,4,3,7]=>[-4,-5,-2,1,-6,3,7]
[6,5,2,1,7,3,4]=>[-7,-5,-2,-6,1,3,4]
[6,5,2,3,1,4,7]=>[5,2,-6,3,1,4,7]
[6,5,2,3,1,7,4]=>[-7,2,3,-5,1,-6,4]
[6,5,2,3,4,1,7]=>[2,5,3,4,-6,1,7]
[6,5,2,3,4,7,1]=>[2,5,3,4,7,-6,1]
[6,5,2,3,7,1,4]=>[5,2,-6,3,7,1,4]
[6,5,2,7,1,3,4]=>[-6,5,-2,1,7,3,4]
[6,5,2,7,4,1,3]=>[-7,-5,-2,-6,4,1,3]
[6,5,2,7,4,3,1]=>[-2,-4,3,-7,-5,-6,1]
[6,5,3,1,2,4,7]=>[-6,5,3,1,2,4,7]
[6,5,3,1,2,7,4]=>[-7,-5,3,1,2,-6,4]
[6,5,3,1,4,7,2]=>[-4,-5,-6,1,7,-3,2]
[6,5,3,1,7,2,4]=>[7,-5,-3,-6,1,2,4]
[6,5,3,2,1,4,7]=>[-2,-5,-6,-3,1,4,7]
[6,5,3,2,1,7,4]=>[-2,-3,-7,-5,1,-6,4]
[6,5,3,2,4,1,7]=>[-2,-5,-6,4,-3,1,7]
[6,5,3,2,4,7,1]=>[-2,-5,-6,4,7,-3,1]
[6,5,3,4,1,2,7]=>[-6,5,3,4,1,2,7]
[6,5,3,4,2,1,7]=>[-3,4,2,-5,-6,1,7]
[6,5,3,4,2,7,1]=>[-3,4,2,-5,7,-6,1]
[6,5,3,4,7,2,1]=>[-3,4,7,2,-5,-6,1]
[6,5,3,7,1,2,4]=>[-6,5,3,1,7,2,4]
[6,5,3,7,1,4,2]=>[-7,-5,-6,4,1,-3,2]
[6,5,3,7,2,1,4]=>[7,-3,-5,-6,2,1,4]
[6,5,4,1,2,3,7]=>[-6,5,1,4,2,3,7]
[6,5,4,1,2,7,3]=>[-4,-5,7,1,2,-6,3]
[6,5,4,1,7,2,3]=>[-4,-5,7,-6,1,2,3]
[6,5,4,1,7,3,2]=>[-3,-7,-4,1,-5,-6,2]
[6,5,4,2,1,3,7]=>[-4,-5,-6,-2,1,3,7]
[6,5,4,2,1,7,3]=>[-2,-7,-4,-5,1,-6,3]
[6,5,4,2,3,1,7]=>[-4,-5,2,3,-6,1,7]
[6,5,4,2,3,7,1]=>[-4,-5,2,3,7,-6,1]
[6,5,4,2,7,1,3]=>[-4,-5,-6,-2,7,1,3]
[6,5,4,3,1,2,7]=>[-4,-5,-6,3,1,2,7]
[6,5,4,3,1,7,2]=>[-7,-3,-4,-5,1,-6,2]
[6,5,4,3,2,1,7]=>[-2,-3,-4,-5,-6,1,7]
[6,5,4,3,2,7,1]=>[-2,-3,-4,-5,7,-6,1]
[6,5,4,3,7,2,1]=>[-7,-3,-4,2,-5,-6,1]
[6,5,4,7,3,2,1]=>[-3,-7,2,-4,-5,-6,1]
[6,5,7,1,2,3,4]=>[1,6,2,5,7,3,4]
[6,5,7,1,3,4,2]=>[5,1,7,3,4,-6,2]
[6,5,7,1,4,2,3]=>[5,1,7,-6,4,2,3]
[6,5,7,3,1,2,4]=>[-6,5,7,3,1,2,4]
[6,5,7,3,4,2,1]=>[-7,3,4,2,-5,-6,1]
[6,5,7,4,3,2,1]=>[-3,2,-4,-7,-5,-6,1]
[6,7,1,2,3,4,5]=>[1,2,3,6,7,4,5]
[6,7,1,2,3,5,4]=>[1,2,7,5,3,-6,4]
[6,7,1,2,4,3,5]=>[1,4,7,-6,2,3,5]
[6,7,1,2,4,5,3]=>[1,2,7,4,5,-6,3]
[6,7,1,3,2,4,5]=>[-6,3,7,1,2,4,5]
[6,7,1,3,4,5,2]=>[1,6,7,4,5,-3,2]
[6,7,1,4,5,3,2]=>[1,4,5,3,-7,-6,2]
[6,7,1,5,2,3,4]=>[-6,1,7,2,5,3,4]
[6,7,1,5,4,3,2]=>[4,3,1,-5,-7,-6,2]
[6,7,2,3,1,4,5]=>[-6,2,7,3,1,4,5]
[6,7,2,3,4,1,5]=>[3,6,7,4,-2,1,5]
[6,7,2,3,4,5,1]=>[3,6,7,4,5,-2,1]
[6,7,2,4,5,1,3]=>[-2,6,7,4,5,1,3]
[6,7,3,1,4,5,2]=>[-7,3,4,1,5,-6,2]
[6,7,3,1,5,4,2]=>[-3,-5,4,1,-7,-6,2]
[6,7,3,2,1,4,5]=>[-7,-6,2,-3,1,4,5]
[6,7,3,2,4,5,1]=>[-7,3,2,4,5,-6,1]
[6,7,3,2,5,1,4]=>[-7,-3,-6,2,5,1,4]
[6,7,3,4,1,5,2]=>[7,4,-3,5,1,-6,2]
[6,7,3,4,2,1,5]=>[3,4,-7,-6,2,1,5]
[6,7,3,4,5,1,2]=>[3,6,7,4,5,1,2]
[6,7,4,1,2,3,5]=>[1,6,7,4,2,3,5]
[6,7,4,1,3,5,2]=>[7,4,3,1,5,-6,2]
[6,7,4,1,5,3,2]=>[-5,-4,3,1,-7,-6,2]
[6,7,4,2,3,5,1]=>[7,4,2,3,5,-6,1]
[6,7,4,3,2,5,1]=>[2,-3,-7,-6,5,-4,1]
[6,7,4,5,1,2,3]=>[1,6,7,4,5,2,3]
[6,7,4,5,1,3,2]=>[7,4,5,3,1,-6,2]
[6,7,5,1,2,3,4]=>[1,6,7,2,5,3,4]
[6,7,5,1,4,3,2]=>[4,-5,3,1,-7,-6,2]
[6,7,5,4,3,1,2]=>[4,-5,-7,-6,3,1,2]
[6,7,5,4,3,2,1]=>[2,-3,-4,-5,-7,-6,1]
[7,1,2,3,4,5,6]=>[1,2,3,4,7,5,6]
[7,1,2,3,4,6,5]=>[1,2,3,6,4,-7,5]
[7,1,2,3,5,4,6]=>[1,2,5,-7,3,4,6]
[7,1,2,3,5,6,4]=>[1,2,3,5,6,-7,4]
[7,1,2,3,6,4,5]=>[1,2,3,-7,6,4,5]
[7,1,2,4,3,5,6]=>[1,-7,4,2,3,5,6]
[7,1,2,4,3,6,5]=>[1,4,-6,2,3,-7,5]
[7,1,2,4,5,3,6]=>[1,2,4,-7,5,3,6]
[7,1,2,4,5,6,3]=>[1,2,7,5,6,-4,3]
[7,1,2,5,3,4,6]=>[1,-7,2,5,3,4,6]
[7,1,2,5,3,6,4]=>[1,6,-5,2,3,-7,4]
[7,1,2,5,6,3,4]=>[1,-7,2,5,6,3,4]
[7,1,2,6,3,4,5]=>[1,-7,2,3,6,4,5]
[7,1,2,6,4,3,5]=>[1,4,-6,-7,2,3,5]
[7,1,2,6,5,3,4]=>[1,2,-6,-7,5,3,4]
[7,1,3,2,4,5,6]=>[7,3,1,2,4,5,6]
[7,1,3,2,4,6,5]=>[-6,3,1,2,4,-7,5]
[7,1,3,2,5,4,6]=>[3,-5,1,-7,2,4,6]
[7,1,3,2,5,6,4]=>[-5,3,1,2,6,-7,4]
[7,1,3,4,2,5,6]=>[1,-7,3,4,2,5,6]
[7,1,3,4,2,6,5]=>[1,3,-6,4,2,-7,5]
[7,1,3,4,5,2,6]=>[1,4,7,5,-3,2,6]
[7,1,3,4,5,6,2]=>[1,4,7,5,6,-3,2]
[7,1,4,2,3,5,6]=>[7,1,4,2,3,5,6]
[7,1,4,2,5,3,6]=>[5,-4,1,-7,2,3,6]
[7,1,4,2,5,6,3]=>[-4,5,1,2,6,-7,3]
[7,1,4,2,6,3,5]=>[-4,6,1,-7,2,3,5]
[7,1,4,5,2,3,6]=>[7,1,4,5,2,3,6]
[7,1,4,5,2,6,3]=>[1,5,-4,6,2,-7,3]
[7,1,4,5,6,2,3]=>[-4,1,7,5,6,2,3]
[7,1,4,6,2,3,5]=>[7,1,4,2,6,3,5]
[7,1,5,2,3,4,6]=>[7,1,2,5,3,4,6]
[7,1,5,2,3,6,4]=>[-5,1,6,2,3,-7,4]
[7,1,5,2,6,3,4]=>[5,6,1,-7,2,3,4]
[7,1,5,3,2,4,6]=>[3,-7,-5,1,2,4,6]
[7,1,5,4,2,3,6]=>[1,-7,-5,4,2,3,6]
[7,1,5,6,2,3,4]=>[7,1,2,5,6,3,4]
[7,1,5,6,3,2,4]=>[1,3,-5,-7,6,2,4]
[7,1,6,2,3,5,4]=>[-6,1,2,5,3,-7,4]
[7,1,6,2,4,3,5]=>[-6,1,4,-7,2,3,5]
[7,1,6,3,2,4,5]=>[-6,-7,3,1,2,4,5]
[7,1,6,3,2,5,4]=>[3,-5,-6,1,2,-7,4]
[7,1,6,3,4,2,5]=>[-6,1,3,-7,4,2,5]
[7,1,6,3,4,5,2]=>[-3,1,6,4,5,-7,2]
[7,1,6,3,5,2,4]=>[-6,1,-7,3,5,2,4]
[7,1,6,4,5,2,3]=>[-6,-7,1,4,5,2,3]
[7,1,6,5,2,3,4]=>[-6,-7,1,2,5,3,4]
[7,1,6,5,4,3,2]=>[3,1,-4,-5,-6,-7,2]
[7,2,1,3,4,5,6]=>[-2,1,7,3,4,5,6]
[7,2,1,3,4,6,5]=>[-2,6,1,3,4,-7,5]
[7,2,1,3,5,4,6]=>[5,-2,1,-7,3,4,6]
[7,2,1,3,5,6,4]=>[-2,5,1,3,6,-7,4]
[7,2,1,3,6,4,5]=>[-2,6,1,-7,3,4,5]
[7,2,1,4,3,5,6]=>[-4,-7,-2,1,3,5,6]
[7,2,1,4,3,6,5]=>[-4,-2,-6,1,3,-7,5]
[7,2,1,4,5,3,6]=>[4,-2,1,-7,5,3,6]
[7,2,1,4,5,6,3]=>[-2,4,1,5,6,-7,3]
[7,2,1,5,3,4,6]=>[5,-7,-2,1,3,4,6]
[7,2,1,5,3,6,4]=>[-6,-2,-5,1,3,-7,4]
[7,2,1,5,6,3,4]=>[-2,5,-7,1,6,3,4]
[7,2,1,6,3,4,5]=>[-2,-7,6,1,3,4,5]
[7,2,1,6,4,3,5]=>[-4,-2,-6,-7,1,3,5]
[7,2,3,1,4,5,6]=>[7,2,3,1,4,5,6]
[7,2,3,1,4,6,5]=>[-6,2,3,1,4,-7,5]
[7,2,3,1,5,4,6]=>[2,-5,3,-7,1,4,6]
[7,2,3,1,5,6,4]=>[-5,2,3,1,6,-7,4]
[7,2,3,1,6,4,5]=>[-6,2,3,-7,1,4,5]
[7,2,3,4,1,5,6]=>[3,4,7,-2,1,5,6]
[7,2,3,4,1,6,5]=>[3,6,4,-2,1,-7,5]
[7,2,3,4,5,1,6]=>[3,4,7,5,-2,1,6]
[7,2,3,4,5,6,1]=>[3,4,7,5,6,-2,1]
[7,2,3,4,6,1,5]=>[3,4,7,-2,6,1,5]
[7,2,3,4,6,5,1]=>[3,6,4,5,-2,-7,1]
[7,2,3,5,1,4,6]=>[3,-2,7,5,1,4,6]
[7,2,3,5,1,6,4]=>[3,5,6,-2,1,-7,4]
[7,2,3,5,4,6,1]=>[5,3,-2,4,6,-7,1]
[7,2,3,5,6,1,4]=>[3,-2,7,5,6,1,4]
[7,2,3,5,6,4,1]=>[3,5,6,4,-2,-7,1]
[7,2,3,6,4,1,5]=>[3,6,4,-7,-2,1,5]
[7,2,3,6,5,4,1]=>[5,3,4,-2,-6,-7,1]
[7,2,4,1,3,5,6]=>[2,7,4,1,3,5,6]
[7,2,4,1,5,3,6]=>[2,-4,5,-7,1,3,6]
[7,2,4,1,5,6,3]=>[-4,2,5,1,6,-7,3]
[7,2,4,1,6,3,5]=>[2,-4,1,-7,6,3,5]
[7,2,4,3,5,6,1]=>[-4,2,3,5,6,-7,1]
[7,2,4,3,6,5,1]=>[2,-4,3,5,-6,-7,1]
[7,2,4,5,1,3,6]=>[-2,4,7,5,1,3,6]
[7,2,4,5,1,6,3]=>[7,5,6,-2,1,-4,3]
[7,2,4,5,3,6,1]=>[4,5,-2,3,6,-7,1]
[7,2,4,5,6,3,1]=>[7,5,6,3,-2,-4,1]
[7,2,4,6,5,3,1]=>[4,5,3,-2,-6,-7,1]
[7,2,5,3,1,4,6]=>[2,-7,-5,3,1,4,6]
[7,2,5,3,4,1,6]=>[5,-2,3,-7,4,1,6]
[7,2,5,4,3,6,1]=>[2,3,-4,-7,6,-5,1]
[7,2,5,4,6,3,1]=>[2,-4,6,3,-5,-7,1]
[7,2,5,6,1,3,4]=>[-2,1,7,5,6,3,4]
[7,2,5,6,3,1,4]=>[3,5,6,-7,-2,1,4]
[7,2,5,6,4,1,3]=>[-2,5,6,-7,4,1,3]
[7,2,6,3,1,4,5]=>[-6,-7,2,3,1,4,5]
[7,2,6,3,1,5,4]=>[2,-5,-6,3,1,-7,4]
[7,2,6,3,4,1,5]=>[-2,6,3,-7,4,1,5]
[7,2,6,3,4,5,1]=>[-2,3,6,4,5,-7,1]
[7,2,6,4,5,3,1]=>[4,-2,5,3,-6,-7,1]
[7,2,6,5,4,3,1]=>[2,3,-4,-5,-6,-7,1]
[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]
[7,3,1,2,6,4,5]=>[3,6,1,-7,2,4,5]
[7,3,1,4,2,5,6]=>[7,-4,1,-3,2,5,6]
[7,3,1,4,2,6,5]=>[-6,-4,1,-3,2,-7,5]
[7,3,1,4,5,2,6]=>[-7,4,1,5,-3,2,6]
[7,3,1,4,5,6,2]=>[-7,4,1,5,6,-3,2]
[7,3,1,4,6,2,5]=>[-7,4,1,-3,6,2,5]
[7,3,1,5,2,4,6]=>[7,5,1,-3,2,4,6]
[7,3,1,5,2,6,4]=>[-6,-7,1,-3,2,-5,4]
[7,3,1,5,6,2,4]=>[7,5,1,-3,6,2,4]
[7,3,1,6,2,4,5]=>[7,1,6,-3,2,4,5]
[7,3,1,6,5,4,2]=>[-4,-5,1,-3,-6,-7,2]
[7,3,2,1,4,5,6]=>[7,-2,-3,1,4,5,6]
[7,3,2,4,1,5,6]=>[7,-2,4,-3,1,5,6]
[7,3,2,4,5,1,6]=>[-7,2,4,5,-3,1,6]
[7,3,2,4,5,6,1]=>[-7,2,4,5,6,-3,1]
[7,3,2,4,6,5,1]=>[2,-6,4,5,-3,-7,1]
[7,3,2,5,4,6,1]=>[-2,-5,-3,4,6,-7,1]
[7,3,2,5,6,4,1]=>[2,-5,6,4,-3,-7,1]
[7,3,2,6,5,4,1]=>[-2,-5,4,-3,-6,-7,1]
[7,3,4,1,2,5,6]=>[3,4,7,1,2,5,6]
[7,3,4,1,5,2,6]=>[4,-3,5,-7,1,2,6]
[7,3,4,1,5,6,2]=>[-3,4,5,1,6,-7,2]
[7,3,4,1,6,2,5]=>[4,-3,1,-7,6,2,5]
[7,3,4,2,1,5,6]=>[4,-7,2,-3,1,5,6]
[7,3,4,2,5,1,6]=>[4,-3,2,-7,5,1,6]
[7,3,4,2,5,6,1]=>[-3,4,2,5,6,-7,1]
[7,3,4,2,6,5,1]=>[4,-3,2,5,-6,-7,1]
[7,3,4,5,1,2,6]=>[3,4,7,5,1,2,6]
[7,3,4,5,2,1,6]=>[4,5,-7,2,-3,1,6]
[7,3,4,5,2,6,1]=>[7,5,2,-4,6,-3,1]
[7,3,4,5,6,1,2]=>[3,4,7,5,6,1,2]
[7,3,4,5,6,2,1]=>[7,5,6,2,-4,-3,1]
[7,3,4,6,1,2,5]=>[3,4,7,1,6,2,5]
[7,3,4,6,5,2,1]=>[4,5,2,-6,-3,-7,1]
[7,3,5,1,2,4,6]=>[3,1,7,5,2,4,6]
[7,3,5,1,6,2,4]=>[-3,5,1,-7,6,2,4]
[7,3,5,4,2,6,1]=>[4,2,-3,-7,6,-5,1]
[7,3,5,4,6,2,1]=>[4,-3,6,2,-5,-7,1]
[7,3,5,6,1,2,4]=>[3,1,7,5,6,2,4]
[7,3,6,1,5,4,2]=>[-3,5,4,1,-6,-7,2]
[7,3,6,4,5,2,1]=>[4,-6,5,2,-3,-7,1]
[7,3,6,5,1,2,4]=>[3,-7,6,1,5,2,4]
[7,3,6,5,1,4,2]=>[-3,5,-6,4,1,-7,2]
[7,3,6,5,4,1,2]=>[5,3,-6,-7,4,1,2]
[7,3,6,5,4,2,1]=>[4,2,-3,-5,-6,-7,1]
[7,4,1,2,3,5,6]=>[1,4,7,2,3,5,6]
[7,4,1,2,6,3,5]=>[4,1,6,-7,2,3,5]
[7,4,1,3,5,2,6]=>[4,3,1,-7,5,2,6]
[7,4,1,3,5,6,2]=>[7,3,1,5,6,-4,2]
[7,4,1,5,2,3,6]=>[7,5,-4,1,2,3,6]
[7,4,1,5,6,2,3]=>[7,5,-4,1,6,2,3]
[7,4,1,6,2,3,5]=>[7,-4,6,1,2,3,5]
[7,4,1,6,3,5,2]=>[-6,3,1,-7,5,-4,2]
[7,4,1,6,5,3,2]=>[-3,-5,1,-6,-4,-7,2]
[7,4,2,1,3,5,6]=>[7,-4,-2,1,3,5,6]
[7,4,2,3,1,5,6]=>[-4,-7,2,3,1,5,6]
[7,4,2,3,5,1,6]=>[4,2,3,-7,5,1,6]
[7,4,2,6,3,1,5]=>[-6,-2,-7,3,-4,1,5]
[7,4,3,1,2,5,6]=>[7,-4,3,1,2,5,6]
[7,4,3,2,1,5,6]=>[-2,-7,-3,-4,1,5,6]
[7,4,3,2,5,6,1]=>[-2,-7,-3,5,6,-4,1]
[7,4,3,2,6,5,1]=>[-2,-3,-6,5,-4,-7,1]
[7,4,3,5,2,6,1]=>[-5,-7,2,-3,6,-4,1]
[7,4,3,5,6,2,1]=>[5,-3,6,2,-7,-4,1]
[7,4,3,6,5,2,1]=>[-5,-3,2,-6,-4,-7,1]
[7,4,5,1,2,3,6]=>[1,4,7,5,2,3,6]
[7,4,5,1,2,6,3]=>[7,5,6,1,2,-4,3]
[7,4,5,1,3,2,6]=>[4,5,3,-7,1,2,6]
[7,4,5,2,1,3,6]=>[2,-7,-4,5,1,3,6]
[7,4,5,2,3,1,6]=>[4,5,2,-7,3,1,6]
[7,4,5,3,1,2,6]=>[4,-7,5,3,1,2,6]
[7,4,5,3,1,6,2]=>[3,6,-5,-7,1,-4,2]
[7,4,5,3,2,1,6]=>[3,2,-5,-7,-4,1,6]
[7,4,5,6,1,2,3]=>[1,4,7,5,6,2,3]
[7,4,5,6,2,1,3]=>[2,5,-7,-4,6,1,3]
[7,4,5,6,2,3,1]=>[7,5,6,2,3,-4,1]
[7,4,5,6,3,1,2]=>[7,5,6,-4,3,1,2]
[7,4,5,6,3,2,1]=>[6,3,2,-5,-7,-4,1]
[7,4,6,1,3,2,5]=>[4,3,6,-7,1,2,5]
[7,4,6,2,1,3,5]=>[2,-7,-4,1,6,3,5]
[7,4,6,2,3,1,5]=>[4,2,6,-7,3,1,5]
[7,5,1,2,3,4,6]=>[1,2,7,5,3,4,6]
[7,5,1,2,4,3,6]=>[5,1,4,-7,2,3,6]
[7,5,1,3,4,2,6]=>[5,1,3,-7,4,2,6]
[7,5,1,4,2,3,6]=>[5,-7,1,4,2,3,6]
[7,5,1,6,2,3,4]=>[-5,7,6,1,2,3,4]
[7,5,2,1,3,4,6]=>[7,5,-2,1,3,4,6]
[7,5,2,1,4,3,6]=>[-4,-5,-2,-7,1,3,6]
[7,5,2,3,1,4,6]=>[5,-7,2,3,1,4,6]
[7,5,2,3,1,6,4]=>[-6,2,-5,3,1,-7,4]
[7,5,2,3,4,1,6]=>[2,5,3,-7,4,1,6]
[7,5,2,3,4,6,1]=>[7,5,3,4,6,-2,1]
[7,5,2,3,6,1,4]=>[2,5,-7,3,6,1,4]
[7,5,2,3,6,4,1]=>[6,2,3,4,-5,-7,1]
[7,5,2,4,6,3,1]=>[4,2,6,3,-5,-7,1]
[7,5,2,6,3,1,4]=>[-6,-2,-7,-5,3,1,4]
[7,5,3,1,2,4,6]=>[7,5,3,1,2,4,6]
[7,5,3,2,1,4,6]=>[-2,-7,-5,-3,1,4,6]
[7,5,3,2,4,1,6]=>[-2,-7,-5,4,-3,1,6]
[7,5,3,4,1,2,6]=>[7,5,3,4,1,2,6]
[7,5,3,4,2,1,6]=>[-3,4,2,-7,-5,1,6]
[7,5,3,4,2,6,1]=>[-3,4,-5,2,6,-7,1]
[7,5,3,4,6,2,1]=>[3,4,6,2,-5,-7,1]
[7,5,3,6,2,4,1]=>[-6,-7,-5,2,4,-3,1]
[7,5,4,1,2,3,6]=>[7,5,1,4,2,3,6]
[7,5,4,1,6,2,3]=>[-4,-7,6,-5,1,2,3]
[7,5,4,1,6,3,2]=>[-3,-6,-4,1,-7,-5,2]
[7,5,4,2,1,3,6]=>[-4,-7,-5,-2,1,3,6]
[7,5,4,2,3,1,6]=>[-4,-5,2,-7,3,1,6]
[7,5,4,3,1,2,6]=>[-4,-7,-5,3,1,2,6]
[7,5,4,3,2,1,6]=>[-2,-3,-4,-7,-5,1,6]
[7,5,4,3,2,6,1]=>[-2,-3,-4,-7,6,-5,1]
[7,5,4,3,6,2,1]=>[-6,-3,-4,2,-7,-5,1]
[7,5,4,6,1,2,3]=>[-5,7,1,4,6,2,3]
[7,5,6,1,2,3,4]=>[1,2,7,5,6,3,4]
[7,5,6,1,4,2,3]=>[1,5,6,-7,4,2,3]
[7,5,6,2,1,3,4]=>[-5,-7,2,1,6,3,4]
[7,5,6,2,3,1,4]=>[2,5,6,-7,3,1,4]
[7,5,6,2,3,4,1]=>[7,5,6,3,4,-2,1]
[7,5,6,3,1,2,4]=>[7,5,6,3,1,2,4]
[7,5,6,3,2,1,4]=>[3,-6,-5,-7,2,1,4]
[7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]
[7,5,6,3,4,2,1]=>[6,3,4,2,-5,-7,1]
[7,5,6,4,1,2,3]=>[7,5,6,1,4,2,3]
[7,5,6,4,2,1,3]=>[2,-6,-5,-7,4,1,3]
[7,5,6,4,2,3,1]=>[6,4,-5,2,3,-7,1]
[7,5,6,4,3,1,2]=>[6,4,-5,-7,3,1,2]
[7,5,6,4,3,2,1]=>[3,2,-4,-6,-5,-7,1]
[7,6,1,2,3,4,5]=>[1,2,7,3,6,4,5]
[7,6,1,3,4,2,5]=>[1,6,3,-7,4,2,5]
[7,6,1,5,2,3,4]=>[1,-7,6,2,5,3,4]
[7,6,1,5,4,3,2]=>[-4,3,1,-5,-6,-7,2]
[7,6,2,1,3,4,5]=>[7,-2,6,1,3,4,5]
[7,6,2,1,4,3,5]=>[-6,-4,-2,-7,1,3,5]
[7,6,2,1,4,5,3]=>[-6,4,-2,1,5,-7,3]
[7,6,2,3,1,4,5]=>[2,-7,6,3,1,4,5]
[7,6,2,3,4,1,5]=>[2,3,6,-7,4,1,5]
[7,6,2,3,4,5,1]=>[7,3,6,4,5,-2,1]
[7,6,3,1,2,4,5]=>[7,3,6,1,2,4,5]
[7,6,3,2,1,4,5]=>[-6,-7,-2,-3,1,4,5]
[7,6,3,4,1,2,5]=>[7,3,6,4,1,2,5]
[7,6,3,4,2,1,5]=>[-3,4,-6,-7,2,1,5]
[7,6,3,4,5,1,2]=>[7,3,6,4,5,1,2]
[7,6,3,4,5,2,1]=>[6,4,5,2,-3,-7,1]
[7,6,3,5,4,2,1]=>[-3,4,2,-5,-6,-7,1]
[7,6,4,1,2,3,5]=>[7,1,6,4,2,3,5]
[7,6,4,2,1,3,5]=>[-6,-7,-4,-2,1,3,5]
[7,6,4,2,3,1,5]=>[-6,-4,2,-7,3,1,5]
[7,6,4,3,1,2,5]=>[-6,-7,-4,3,1,2,5]
[7,6,4,3,2,1,5]=>[-2,-3,-6,-7,-4,1,5]
[7,6,4,3,5,2,1]=>[-5,-3,-6,2,-7,-4,1]
[7,6,4,5,1,2,3]=>[7,1,6,4,5,2,3]
[7,6,4,5,1,3,2]=>[-6,4,5,3,1,-7,2]
[7,6,4,5,2,1,3]=>[4,2,-6,-7,5,1,3]
[7,6,4,5,2,3,1]=>[-6,4,5,2,3,-7,1]
[7,6,4,5,3,1,2]=>[-6,4,5,-7,3,1,2]
[7,6,4,5,3,2,1]=>[-5,3,2,-4,-6,-7,1]
[7,6,5,1,2,3,4]=>[7,1,6,2,5,3,4]
[7,6,5,2,1,3,4]=>[-6,-7,5,-2,1,3,4]
[7,6,5,2,3,1,4]=>[-6,5,2,-7,3,1,4]
[7,6,5,2,3,4,1]=>[-6,2,5,3,4,-7,1]
[7,6,5,3,1,2,4]=>[-6,-7,5,3,1,2,4]
[7,6,5,3,2,1,4]=>[-2,-5,-6,-7,-3,1,4]
[7,6,5,3,4,1,2]=>[-6,-7,5,3,4,1,2]
[7,6,5,3,4,2,1]=>[-3,-5,4,2,-6,-7,1]
[7,6,5,4,1,2,3]=>[-6,-7,5,1,4,2,3]
[7,6,5,4,2,1,3]=>[-4,-5,-6,-7,-2,1,3]
[7,6,5,4,2,3,1]=>[-4,-5,-6,2,3,-7,1]
[7,6,5,4,3,1,2]=>[-4,-5,-6,-7,3,1,2]
[7,6,5,4,3,2,1]=>[-2,-3,-4,-5,-6,-7,1]
[3,4,5,6,7,1,-2]=>[5,6,7,-4,1,-3,-2]
[3,4,5,7,1,6,-2]=>[5,7,-4,-3,6,1,-2]
[3,4,6,1,7,5,-2]=>[7,-4,1,5,-3,-6,-2]
[3,4,6,7,5,1,-2]=>[7,5,-4,1,-3,-6,-2]
[3,4,7,1,5,6,-2]=>[-4,1,7,5,6,-3,-2]
[3,5,1,6,7,4,-2]=>[-6,1,7,4,-3,-5,-2]
[3,5,1,7,4,6,-2]=>[-7,-3,4,1,6,-5,-2]
[3,5,6,4,7,1,-2]=>[4,7,-6,-3,1,-5,-2]
[3,5,6,7,4,1,-2]=>[7,4,-6,1,-3,-5,-2]
[3,5,7,4,1,6,-2]=>[7,-4,1,-3,6,-5,-2]
[3,6,1,4,7,5,-2]=>[-7,-3,4,5,1,-6,-2]
[3,6,1,7,5,4,-2]=>[-5,1,4,-3,-7,-6,-2]
[3,6,7,4,5,1,-2]=>[-7,4,5,-3,1,-6,-2]
[3,7,1,4,5,6,-2]=>[1,4,7,5,6,-3,-2]
[4,1,5,6,7,3,-2]=>[1,6,7,3,-5,-4,-2]
[4,1,5,7,3,6,-2]=>[1,7,-5,3,6,-4,-2]
[4,1,6,3,7,5,-2]=>[1,3,-7,5,-4,-6,-2]
[4,1,6,7,5,3,-2]=>[1,5,3,-7,-4,-6,-2]
[4,1,7,3,5,6,-2]=>[7,3,1,5,6,-4,-2]
[4,5,3,6,7,1,-2]=>[6,-3,7,-5,1,-4,-2]
[4,5,3,7,1,6,-2]=>[7,-3,-5,-4,6,1,-2]
[4,5,6,3,7,1,-2]=>[3,7,-6,-5,1,-4,-2]
[4,5,6,7,1,3,-2]=>[5,6,7,-4,3,1,-2]
[4,5,7,3,1,6,-2]=>[7,-3,1,-5,6,-4,-2]
[4,6,3,1,7,5,-2]=>[-3,1,-7,5,-4,-6,-2]
[4,6,3,7,5,1,-2]=>[5,-3,-7,1,-4,-6,-2]
[4,6,7,3,5,1,-2]=>[-7,3,5,-6,1,-4,-2]
[4,7,3,1,5,6,-2]=>[3,-7,1,5,6,-4,-2]
[5,1,3,6,7,4,-2]=>[-6,3,7,4,1,-5,-2]
[5,1,3,7,4,6,-2]=>[7,3,4,1,6,-5,-2]
[5,1,6,4,7,3,-2]=>[1,7,-4,3,-6,-5,-2]
[5,1,6,7,4,3,-2]=>[1,4,3,-7,-6,-5,-2]
[5,1,7,4,3,6,-2]=>[1,-4,3,-7,6,-5,-2]
[5,6,3,4,7,1,-2]=>[3,4,7,-6,1,-5,-2]
[5,6,3,7,4,1,-2]=>[4,-3,-7,1,-6,-5,-2]
[5,6,7,4,3,1,-2]=>[3,-4,1,-7,-6,-5,-2]
[5,7,3,4,1,6,-2]=>[7,4,-3,1,6,-5,-2]
[6,1,3,4,7,5,-2]=>[7,3,4,5,1,-6,-2]
[6,1,3,7,5,4,-2]=>[-5,3,4,1,-7,-6,-2]
[6,1,7,4,5,3,-2]=>[-4,1,5,3,-7,-6,-2]
[6,7,3,4,5,1,-2]=>[7,4,5,-6,1,-3,-2]
[7,1,3,4,5,6,-2]=>[3,4,7,5,6,1,-2]
[1,4,5,6,7,2,-3]=>[5,6,7,1,2,-4,-3]
[1,4,5,7,2,6,-3]=>[5,7,1,-4,6,2,-3]
[1,4,6,2,7,5,-3]=>[7,1,2,5,-4,-6,-3]
[1,4,6,7,5,2,-3]=>[7,5,1,2,-4,-6,-3]
[1,4,7,2,5,6,-3]=>[1,2,7,5,6,-4,-3]
[1,5,2,6,7,4,-3]=>[1,2,7,4,-6,-5,-3]
[1,5,2,7,4,6,-3]=>[1,-7,4,2,6,-5,-3]
[1,5,6,4,7,2,-3]=>[4,7,1,-6,2,-5,-3]
[1,5,6,7,4,2,-3]=>[7,4,1,2,-6,-5,-3]
[1,5,7,4,2,6,-3]=>[4,1,-7,2,6,-5,-3]
[1,6,2,4,7,5,-3]=>[1,-7,4,5,2,-6,-3]
[1,6,2,7,5,4,-3]=>[1,2,4,-5,-7,-6,-3]
[1,6,7,4,5,2,-3]=>[1,4,5,-7,2,-6,-3]
[1,7,2,4,5,6,-3]=>[7,1,4,5,6,2,-3]
[4,2,5,6,7,1,-3]=>[5,6,7,-2,1,-4,-3]
[4,2,5,7,1,6,-3]=>[5,7,-2,-4,6,1,-3]
[4,2,6,1,7,5,-3]=>[7,-2,1,5,-4,-6,-3]
[4,2,6,7,5,1,-3]=>[7,5,-2,1,-4,-6,-3]
[4,2,7,1,5,6,-3]=>[-2,1,7,5,6,-4,-3]
[4,5,2,6,7,1,-3]=>[6,2,7,-5,1,-4,-3]
[4,5,2,7,1,6,-3]=>[7,2,-5,-4,6,1,-3]
[4,5,6,1,7,2,-3]=>[7,-6,1,-5,2,-4,-3]
[4,5,6,7,2,1,-3]=>[7,-6,2,1,-5,-4,-3]
[4,5,7,1,2,6,-3]=>[5,-4,7,1,6,2,-3]
[4,6,2,1,7,5,-3]=>[2,1,-7,5,-4,-6,-3]
[4,6,2,7,5,1,-3]=>[5,2,-7,1,-4,-6,-3]
[4,6,7,1,5,2,-3]=>[-7,5,-6,1,2,-4,-3]
[4,7,2,1,5,6,-3]=>[-7,2,1,5,6,-4,-3]
[5,2,1,6,7,4,-3]=>[-2,1,7,4,-6,-5,-3]
[5,2,1,7,4,6,-3]=>[-2,-7,4,1,6,-5,-3]
[5,2,6,4,7,1,-3]=>[4,7,-2,-6,1,-5,-3]
[5,2,6,7,4,1,-3]=>[7,4,-2,1,-6,-5,-3]
[5,2,7,4,1,6,-3]=>[4,-2,-7,1,6,-5,-3]
[5,6,2,4,7,1,-3]=>[-6,4,7,2,1,-5,-3]
[5,6,2,7,4,1,-3]=>[4,2,-7,1,-6,-5,-3]
[5,6,7,4,1,2,-3]=>[7,4,-6,-5,1,2,-3]
[5,7,2,4,1,6,-3]=>[7,4,2,1,6,-5,-3]
[6,2,1,4,7,5,-3]=>[-2,-7,4,5,1,-6,-3]
[6,2,1,7,5,4,-3]=>[-2,1,4,-5,-7,-6,-3]
[6,2,7,4,5,1,-3]=>[4,2,5,-7,1,-6,-3]
[6,7,2,4,5,1,-3]=>[7,4,5,-6,-2,1,-3]
[7,2,1,4,5,6,-3]=>[7,-2,4,5,6,1,-3]
[1,2,5,6,7,3,-4]=>[1,6,7,2,3,-5,-4]
[1,2,5,7,3,6,-4]=>[1,7,2,-5,6,3,-4]
[1,2,6,3,7,5,-4]=>[1,2,3,5,-7,-6,-4]
[1,2,6,7,5,3,-4]=>[1,5,2,3,-7,-6,-4]
[1,2,7,3,5,6,-4]=>[1,-7,2,5,6,3,-4]
[1,5,3,6,7,2,-4]=>[1,6,7,-3,2,-5,-4]
[1,5,3,7,2,6,-4]=>[1,7,-3,-5,6,2,-4]
[1,5,6,3,7,2,-4]=>[1,7,3,-6,2,-5,-4]
[1,5,6,7,2,3,-4]=>[1,6,7,-5,2,3,-4]
[1,5,7,3,2,6,-4]=>[1,3,-7,2,6,-5,-4]
[1,6,3,2,7,5,-4]=>[1,-3,2,5,-7,-6,-4]
[1,6,3,7,5,2,-4]=>[1,5,-3,2,-7,-6,-4]
[1,6,7,3,5,2,-4]=>[1,-7,5,3,2,-6,-4]
[1,7,3,2,5,6,-4]=>[1,-7,-3,5,6,2,-4]
[5,2,3,6,7,1,-4]=>[2,6,7,3,1,-5,-4]
[5,2,3,7,1,6,-4]=>[2,7,3,-5,6,1,-4]
[5,2,6,3,7,1,-4]=>[-2,7,3,-6,1,-5,-4]
[5,2,6,7,1,3,-4]=>[-2,6,7,-5,1,3,-4]
[5,2,7,3,1,6,-4]=>[-2,3,-7,1,6,-5,-4]
[5,6,3,2,7,1,-4]=>[2,7,-3,-6,1,-5,-4]
[5,6,3,7,1,2,-4]=>[-6,3,7,-5,1,2,-4]
[5,6,7,3,1,2,-4]=>[7,-6,3,-5,1,2,-4]
[5,7,3,2,1,6,-4]=>[2,-3,-7,1,6,-5,-4]
[6,2,3,1,7,5,-4]=>[2,3,1,5,-7,-6,-4]
[6,2,3,7,5,1,-4]=>[2,5,3,1,-7,-6,-4]
[6,2,7,3,5,1,-4]=>[2,3,5,-7,1,-6,-4]
[6,7,3,2,5,1,-4]=>[-3,2,5,-7,1,-6,-4]
[7,2,3,1,5,6,-4]=>[2,-7,3,5,6,1,-4]
[1,2,3,6,7,4,-5]=>[1,2,7,3,4,-6,-5]
[1,2,3,7,4,6,-5]=>[1,2,3,-7,6,4,-5]
[1,2,6,4,7,3,-5]=>[1,2,7,-4,3,-6,-5]
[1,2,6,7,4,3,-5]=>[1,2,4,3,-7,-6,-5]
[1,2,7,4,3,6,-5]=>[1,2,-4,-7,6,3,-5]
[1,6,3,4,7,2,-5]=>[-3,1,7,4,2,-6,-5]
[1,6,3,7,4,2,-5]=>[1,-3,4,2,-7,-6,-5]
[1,6,7,4,3,2,-5]=>[1,3,-4,2,-7,-6,-5]
[1,7,3,4,2,6,-5]=>[-3,1,4,-7,6,2,-5]
[6,2,3,4,7,1,-5]=>[-6,3,7,4,-2,1,-5]
[6,2,3,7,4,1,-5]=>[2,3,4,1,-7,-6,-5]
[6,2,7,4,3,1,-5]=>[-2,3,-4,1,-7,-6,-5]
[6,7,3,4,2,1,-5]=>[3,4,2,1,-7,-6,-5]
[7,2,3,4,1,6,-5]=>[7,3,4,-2,6,1,-5]
[1,2,3,4,7,5,-6]=>[1,2,3,4,5,-7,-6]
[1,2,3,7,5,4,-6]=>[1,2,3,-5,4,-7,-6]
[1,2,7,4,5,3,-6]=>[1,-4,2,5,3,-7,-6]
[1,7,3,4,5,2,-6]=>[3,1,4,5,2,-7,-6]
[7,2,3,4,5,1,-6]=>[7,3,4,5,-2,1,-6]
[1,2,3,4,5,6,-7]=>[1,2,3,4,5,6,-7]
[3,4,5,6,7,-1,2]=>[3,4,5,6,7,-1,2]
[3,4,5,6,-1,2,7]=>[3,4,5,6,-1,2,7]
[3,4,5,7,2,-1,6]=>[5,2,7,-4,-3,-1,6]
[3,4,5,7,-1,6,2]=>[5,7,-4,6,-1,-3,2]
[3,4,5,-1,2,6,7]=>[3,4,5,-1,2,6,7]
[3,4,6,2,7,-1,5]=>[2,6,-4,-3,7,-1,5]
[3,4,6,2,-1,5,7]=>[2,6,-4,-3,-1,5,7]
[3,4,6,7,5,-1,2]=>[3,4,7,-6,5,-1,2]
[3,4,6,7,-1,5,2]=>[6,-4,7,5,-1,-3,2]
[3,4,6,-1,5,2,7]=>[6,-4,5,-1,-3,2,7]
[3,4,7,2,5,-1,6]=>[-4,7,2,5,-3,-1,6]
[3,4,7,2,-1,6,5]=>[2,6,-4,-3,-1,-7,5]
[3,4,7,-1,5,6,2]=>[7,-4,-1,5,6,-3,2]
[3,4,-1,2,5,6,7]=>[3,4,-1,2,5,6,7]
[3,5,2,6,7,-1,4]=>[-5,2,-3,6,7,-1,4]
[3,5,2,6,-1,4,7]=>[-5,2,-3,6,-1,4,7]
[3,5,2,7,4,-1,6]=>[-7,2,4,-3,-5,-1,6]
[3,5,2,7,-1,6,4]=>[2,-7,-3,6,-1,-5,4]
[3,5,2,-1,4,6,7]=>[-5,2,-3,-1,4,6,7]
[3,5,6,4,7,-1,2]=>[3,6,-5,4,7,-1,2]
[3,5,6,4,-1,2,7]=>[3,6,-5,4,-1,2,7]
[3,5,6,7,4,-1,2]=>[3,6,7,-5,4,-1,2]
[3,5,6,7,-1,2,4]=>[3,-1,5,6,7,2,4]
[3,5,6,-1,4,2,7]=>[-5,6,4,-1,-3,2,7]
[3,5,7,4,2,-1,6]=>[4,-7,2,-3,-5,-1,6]
[3,5,7,4,-1,6,2]=>[7,6,-4,-3,-1,-5,2]
[3,5,7,-1,4,6,2]=>[-5,7,-1,4,6,-3,2]
[3,5,-1,4,2,6,7]=>[-5,4,-1,-3,2,6,7]
[3,6,2,4,7,-1,5]=>[6,2,4,-3,7,-1,5]
[3,6,2,4,-1,5,7]=>[6,2,4,-3,-1,5,7]
[3,6,2,7,5,-1,4]=>[-7,2,-3,-6,5,-1,4]
[3,6,2,7,-1,5,4]=>[-7,2,-3,5,-1,-6,4]
[3,6,2,-1,5,4,7]=>[-5,2,-3,-1,-6,4,7]
[3,6,7,4,5,-1,2]=>[-6,3,7,4,5,-1,2]
[3,6,7,4,-1,5,2]=>[7,5,-4,-6,-1,-3,2]
[3,6,7,-1,5,4,2]=>[-7,5,4,-1,-3,-6,2]
[3,6,-1,4,5,2,7]=>[-6,-1,4,5,-3,2,7]
[3,7,2,4,5,-1,6]=>[-2,4,7,5,-3,-1,6]
[3,7,2,4,-1,6,5]=>[6,2,4,-3,-1,-7,5]
[3,7,2,-1,5,6,4]=>[5,2,-3,-1,6,-7,4]
[3,7,-1,4,5,6,2]=>[-4,-1,7,5,6,-3,2]
[3,-1,2,4,5,6,7]=>[3,-1,2,4,5,6,7]
[4,2,5,6,7,-1,3]=>[-4,-2,5,6,7,-1,3]
[4,2,5,6,-1,3,7]=>[-4,-2,5,6,-1,3,7]
[4,2,5,7,3,-1,6]=>[-2,3,7,-5,-4,-1,6]
[4,2,5,7,-1,6,3]=>[-2,7,-5,6,-1,-4,3]
[4,2,5,-1,3,6,7]=>[-4,-2,5,-1,3,6,7]
[4,2,6,3,7,-1,5]=>[-2,-6,3,-4,7,-1,5]
[4,2,6,3,-1,5,7]=>[-2,-6,3,-4,-1,5,7]
[4,2,6,7,5,-1,3]=>[-4,-2,7,-6,5,-1,3]
[4,2,6,7,-1,5,3]=>[-2,-6,7,5,-1,-4,3]
[4,2,6,-1,5,3,7]=>[-2,-6,5,-1,-4,3,7]
[4,2,7,3,5,-1,6]=>[2,-7,3,5,-4,-1,6]
[4,2,7,3,-1,6,5]=>[-2,-6,3,-4,-1,-7,5]
[4,2,7,-1,5,6,3]=>[-2,-7,-1,5,6,-4,3]
[4,2,-1,3,5,6,7]=>[-4,-2,-1,3,5,6,7]
[4,5,3,6,7,-1,2]=>[5,-4,3,6,7,-1,2]
[4,5,3,6,-1,2,7]=>[5,-4,3,6,-1,2,7]
[4,5,3,7,2,-1,6]=>[-3,7,2,-5,-4,-1,6]
[4,5,3,7,-1,6,2]=>[7,-3,-5,6,-1,-4,2]
[4,5,3,-1,2,6,7]=>[5,-4,3,-1,2,6,7]
[4,5,6,3,7,-1,2]=>[5,6,-4,3,7,-1,2]
[4,5,6,3,-1,2,7]=>[5,6,-4,3,-1,2,7]
[4,5,6,7,2,-1,3]=>[2,6,-5,-4,7,-1,3]
[4,5,6,7,-1,3,2]=>[5,6,7,3,-1,-4,2]
[4,5,6,-1,2,3,7]=>[-1,4,5,6,2,3,7]
[4,5,7,3,2,-1,6]=>[3,-7,2,-5,-4,-1,6]
[4,5,7,3,-1,6,2]=>[7,6,-3,-5,-1,-4,2]
[4,5,7,-1,2,6,3]=>[5,7,-1,6,2,-4,3]
[4,5,-1,3,2,6,7]=>[5,3,-1,-4,2,6,7]
[4,6,3,2,7,-1,5]=>[2,-6,-3,-4,7,-1,5]
[4,6,3,2,-1,5,7]=>[2,-6,-3,-4,-1,5,7]
[4,6,3,7,5,-1,2]=>[7,-4,3,-6,5,-1,2]
[4,6,3,7,-1,5,2]=>[-3,7,-6,5,-1,-4,2]
[4,6,3,-1,5,2,7]=>[-3,5,-6,-1,-4,2,7]
[4,6,7,3,5,-1,2]=>[-4,6,7,3,5,-1,2]
[4,6,7,3,-1,5,2]=>[7,-3,5,-6,-1,-4,2]
[4,6,7,-1,5,2,3]=>[6,-1,7,-4,5,2,3]
[4,6,-1,3,5,2,7]=>[6,-1,3,5,-4,2,7]
[4,7,3,2,5,-1,6]=>[-3,-7,2,5,-4,-1,6]
[4,7,3,2,-1,6,5]=>[2,-6,-3,-4,-1,-7,5]
[4,7,3,-1,5,6,2]=>[3,5,-7,-1,6,-4,2]
[4,7,-1,3,5,6,2]=>[3,-1,7,5,6,-4,2]
[4,-1,3,2,5,6,7]=>[3,-1,-4,2,5,6,7]
[5,2,3,6,7,-1,4]=>[2,-5,3,6,7,-1,4]
[5,2,3,6,-1,4,7]=>[2,-5,3,6,-1,4,7]
[5,2,3,7,4,-1,6]=>[2,3,-7,4,-5,-1,6]
[5,2,3,7,-1,6,4]=>[2,3,-7,6,-1,-5,4]
[5,2,3,-1,4,6,7]=>[2,-5,3,-1,4,6,7]
[5,2,6,4,7,-1,3]=>[-6,-2,-5,4,7,-1,3]
[5,2,6,4,-1,3,7]=>[-6,-2,-5,4,-1,3,7]
[5,2,6,7,4,-1,3]=>[-6,-2,7,-5,4,-1,3]
[5,2,6,7,-1,3,4]=>[5,-2,-1,6,7,3,4]
[5,2,6,-1,4,3,7]=>[-6,-2,4,-1,-5,3,7]
[5,2,7,4,3,-1,6]=>[-2,3,-7,-4,-5,-1,6]
[5,2,7,4,-1,6,3]=>[-2,-4,6,-7,-1,-5,3]
[5,2,7,-1,4,6,3]=>[-7,-2,-1,4,6,-5,3]
[5,2,-1,4,3,6,7]=>[-4,-2,-1,-5,3,6,7]
[5,6,3,4,7,-1,2]=>[5,6,3,4,7,-1,2]
[5,6,3,4,-1,2,7]=>[5,6,3,4,-1,2,7]
[5,6,3,7,4,-1,2]=>[7,-6,3,-5,4,-1,2]
[5,6,3,7,-1,2,4]=>[5,6,3,-1,7,2,4]
[5,6,3,-1,4,2,7]=>[-3,-6,4,-1,-5,2,7]
[5,6,7,4,3,-1,2]=>[7,4,-6,-5,3,-1,2]
[5,6,7,4,-1,2,3]=>[5,6,7,-1,4,2,3]
[5,6,7,-1,4,2,3]=>[-1,6,7,-5,4,2,3]
[5,6,-1,4,3,2,7]=>[4,3,-1,-6,-5,2,7]
[5,7,3,4,2,-1,6]=>[3,4,-7,2,-5,-1,6]
[5,7,3,4,-1,6,2]=>[7,4,6,-3,-1,-5,2]
[5,7,3,-1,4,6,2]=>[3,-7,4,-1,6,-5,2]
[5,7,-1,4,3,6,2]=>[7,3,-1,-4,6,-5,2]
[5,-1,3,4,2,6,7]=>[-1,3,4,-5,2,6,7]
[6,2,3,4,7,-1,5]=>[3,6,4,-2,7,-1,5]
[6,2,3,4,-1,5,7]=>[3,6,4,-2,-1,5,7]
[6,2,3,7,5,-1,4]=>[2,-7,3,-6,5,-1,4]
[6,2,3,7,-1,5,4]=>[2,-7,3,5,-1,-6,4]
[6,2,3,-1,5,4,7]=>[2,-5,3,-1,-6,4,7]
[6,2,7,4,5,-1,3]=>[-7,-6,2,4,5,-1,3]
[6,2,7,4,-1,5,3]=>[-2,-4,-7,5,-1,-6,3]
[6,2,7,-1,5,4,3]=>[-5,-2,4,-1,-7,-6,3]
[6,2,-1,4,5,3,7]=>[4,-2,-1,5,-6,3,7]
[6,7,3,4,5,-1,2]=>[3,6,7,4,5,-1,2]
[6,7,3,4,-1,5,2]=>[7,4,-3,5,-1,-6,2]
[6,7,3,-1,5,4,2]=>[-3,-5,4,-1,-7,-6,2]
[6,7,-1,4,5,3,2]=>[-1,4,5,3,-7,-6,2]
[6,-1,3,4,5,2,7]=>[-1,6,4,5,-3,2,7]
[7,2,3,4,5,-1,6]=>[3,4,7,5,-2,-1,6]
[7,2,3,4,-1,6,5]=>[3,6,4,-2,-1,-7,5]
[7,2,3,-1,5,6,4]=>[-5,2,3,-1,6,-7,4]
[7,2,-1,4,5,6,3]=>[-2,4,-1,5,6,-7,3]
[7,-1,3,4,5,6,2]=>[-1,4,7,5,6,-3,2]
[-1,2,3,4,5,6,7]=>[-1,2,3,4,5,6,7]
[3,6,1,-7,2,4,5]=>[7,3,1,6,2,4,5]
[-4,6,1,-7,2,3,5]=>[7,4,1,6,2,3,5]
[1,2,7,3,4,-6,5]=>[1,-7,2,3,-6,4,5]
[1,2,7,3,-5,4,6]=>[1,-7,2,-5,3,4,6]
[1,2,3,-7,6,4,5]=>[1,-6,2,-7,3,4,5]
[1,6,2,3,7,-5,4]=>[-6,1,2,3,-5,7,4]
[1,2,7,-4,3,5,6]=>[1,2,-4,3,5,7,6]
[7,1,2,-4,3,-6,5]=>[7,1,-4,2,-6,3,5]
[1,-7,2,5,3,4,6]=>[1,-7,5,2,3,4,6]
[1,-7,2,3,6,4,5]=>[1,2,6,-7,3,4,5]
[1,7,2,-5,3,-6,4]=>[-5,-7,1,2,-6,3,4]
[5,1,2,-4,7,3,6]=>[7,1,2,-5,-4,3,6]
[1,6,2,-7,-4,3,5]=>[7,1,-4,2,3,6,5]
[1,-7,2,5,6,3,4]=>[1,2,-7,5,6,3,4]
[5,1,2,6,7,-4,3]=>[5,1,2,6,-4,7,3]
[1,-3,7,2,4,5,6]=>[1,7,-3,2,4,5,6]
[7,1,-3,2,4,-6,5]=>[7,-3,1,2,-6,4,5]
[7,1,-3,2,-5,4,6]=>[7,-3,1,-5,2,4,6]
[1,6,-3,-7,2,4,5]=>[-7,1,-3,2,4,6,5]
[-6,1,-3,2,7,-5,4]=>[6,-3,1,2,-5,7,4]
[1,-7,4,2,3,-6,5]=>[4,-7,1,2,-6,3,5]
[1,-5,7,2,3,-6,4]=>[-7,5,1,2,-6,3,4]
[1,7,-4,2,-5,3,6]=>[-4,1,-5,7,2,3,6]
[5,6,1,-7,2,3,4]=>[1,7,5,6,2,3,4]
[6,1,-4,2,7,-5,3]=>[-6,4,1,2,-5,7,3]
[-4,1,-3,2,7,5,6]=>[4,-3,1,-7,2,5,6]
[-4,1,7,-3,2,-6,5]=>[4,1,-3,7,-6,2,5]
[5,-7,1,-3,2,4,6]=>[-3,5,7,1,2,4,6]
[1,-7,6,-3,2,4,5]=>[1,7,-3,2,4,6,5]
[-7,1,-3,-5,2,-6,4]=>[-7,-5,-3,1,-6,2,4]
[-6,-7,1,2,5,3,4]=>[1,2,-7,6,5,3,4]
[1,5,7,-4,2,-6,3]=>[-4,1,5,7,-6,2,3]
[-4,1,5,-3,7,2,6]=>[-5,1,7,-4,-3,2,6]
[-4,1,-3,-7,6,2,5]=>[6,1,-7,-4,-3,2,5]
[5,-3,-7,1,6,2,4]=>[-7,5,1,6,-3,2,4]
[-4,1,7,5,6,2,3]=>[4,5,-7,1,6,2,3]
[-4,1,5,6,7,-3,2]=>[4,1,5,6,-3,7,2]
[-2,1,3,4,7,5,6]=>[2,1,3,-7,4,5,6]
[-2,1,7,3,4,-6,5]=>[2,-7,1,3,-6,4,5]
[-2,1,7,3,-5,4,6]=>[2,-7,1,-5,3,4,6]
[-2,1,3,-7,6,4,5]=>[2,-6,1,-7,3,4,5]
[-2,6,1,3,7,-5,4]=>[6,-2,1,3,-5,7,4]
[-2,1,7,-4,3,5,6]=>[2,1,-4,3,5,7,6]
[7,-2,1,-4,3,-6,5]=>[-2,7,-4,1,-6,3,5]
[-2,-7,1,5,3,4,6]=>[2,-7,5,1,3,4,6]
[-2,-7,1,3,6,4,5]=>[2,1,6,-7,3,4,5]
[-2,7,1,-5,3,-6,4]=>[-7,-5,-2,1,-6,3,4]
[5,-2,1,-4,7,3,6]=>[-2,7,1,-5,-4,3,6]
[-2,6,1,-7,-4,3,5]=>[-2,7,-4,1,3,6,5]
[-2,-7,1,5,6,3,4]=>[2,1,-7,5,6,3,4]
[5,-2,1,6,7,-4,3]=>[-2,5,1,6,-4,7,3]
[7,3,1,2,4,-6,5]=>[7,3,1,2,-6,4,5]
[7,3,1,2,-5,4,6]=>[7,3,1,-5,2,4,6]
[-6,3,1,2,7,-5,4]=>[6,3,1,2,-5,7,4]
[7,1,4,2,3,-6,5]=>[1,-7,4,2,-6,3,5]
[1,6,7,2,3,-5,4]=>[-6,1,7,2,-5,3,4]
[-4,1,7,2,-5,3,6]=>[-4,7,1,-5,2,3,6]
[4,1,6,-7,2,3,5]=>[4,7,1,2,3,6,5]
[1,7,2,-5,6,3,4]=>[-6,1,-7,-5,2,3,4]
[-4,6,1,2,7,-5,3]=>[4,6,1,2,-5,7,3]
[-3,7,1,-4,2,5,6]=>[3,7,-4,1,2,5,6]
[-7,-3,1,-4,2,-6,5]=>[1,7,-4,3,-6,2,5]
[7,5,1,-3,2,4,6]=>[7,5,-3,1,2,4,6]
[7,1,6,-3,2,4,5]=>[1,-3,7,2,4,6,5]
[-7,-5,1,-3,2,-6,4]=>[-3,7,5,1,-6,2,4]
[7,5,-4,1,2,3,6]=>[4,1,2,7,5,3,6]
[7,-4,6,1,2,3,5]=>[4,1,7,2,6,3,5]
[-6,1,7,2,5,3,4]=>[-7,1,2,-6,5,3,4]
[-7,-5,1,-6,2,-4,3]=>[1,7,-6,5,-4,2,3]
[-5,-3,1,-4,7,2,6]=>[3,1,7,-5,-4,2,6]
[6,-3,1,-7,-4,2,5]=>[3,1,-4,2,7,6,5]
[7,5,1,-3,6,2,4]=>[-6,-7,-5,1,-3,2,4]
[7,5,-4,1,6,2,3]=>[7,5,1,-4,6,2,3]
[-5,-3,1,6,7,-4,2]=>[1,5,3,6,-4,7,2]
[3,-2,1,4,7,5,6]=>[-2,3,1,-7,4,5,6]
[3,-2,7,1,4,-6,5]=>[7,-3,-2,1,-6,4,5]
[3,-2,7,1,-5,4,6]=>[7,-3,-2,-5,1,4,6]
[3,-2,1,-7,6,4,5]=>[-2,-6,3,-7,1,4,5]
[3,6,-2,1,7,-5,4]=>[3,-2,6,1,-5,7,4]
[7,-2,4,1,3,5,6]=>[4,-2,7,1,3,5,6]
[-2,-7,4,1,3,-6,5]=>[-7,4,-2,1,-6,3,5]
[7,-2,1,5,3,4,6]=>[-7,-2,1,5,3,4,6]
[-2,1,3,6,7,4,5]=>[2,1,-6,3,7,4,5]
[-2,-5,7,1,3,-6,4]=>[-5,7,-2,1,-6,3,4]
[-2,7,-4,1,-5,3,6]=>[-4,2,-5,7,1,3,6]
[-4,6,-2,-7,1,3,5]=>[-7,4,-2,1,3,6,5]
[5,6,-2,-7,1,3,4]=>[-7,-2,1,5,3,6,4]
[6,-2,-4,1,7,-5,3]=>[-6,4,2,1,-5,7,3]
[7,3,4,1,2,-6,5]=>[7,3,4,1,-6,2,5]
[5,3,7,1,2,-6,4]=>[5,3,7,1,-6,2,4]
[-4,-5,7,1,2,-6,3]=>[-5,4,7,1,-6,2,3]
[4,-3,7,1,-5,2,6]=>[7,-3,4,-5,1,2,6]
[4,-3,1,-7,6,2,5]=>[-4,-3,6,-7,1,2,5]
[-3,5,1,-7,6,2,4]=>[-5,6,-3,-7,1,2,4]
[-4,-7,6,-5,1,2,3]=>[5,1,7,4,2,6,3]
[4,6,-3,1,7,-5,2]=>[3,4,6,1,-5,7,2]
[3,4,-2,1,7,5,6]=>[3,-2,4,-7,1,5,6]
[3,4,7,-2,1,-6,5]=>[3,4,-2,7,-6,1,5]
[3,-7,-2,5,1,4,6]=>[-3,5,7,-2,1,4,6]
[3,-7,-2,1,6,4,5]=>[2,3,1,-7,6,4,5]
[3,7,-2,-5,1,-6,4]=>[-3,-5,-2,7,-6,1,4]
[7,-2,4,5,1,3,6]=>[-2,7,4,5,1,3,6]
[7,-2,4,1,6,3,5]=>[-4,-2,6,-7,1,3,5]
[-6,-7,-2,1,5,3,4]=>[-2,-7,1,6,5,3,4]
[-2,5,7,-4,1,-6,3]=>[-4,2,5,7,-6,1,3]
[3,-7,6,1,5,2,4]=>[-7,6,1,5,-3,2,4]
[4,5,7,-6,1,-3,2]=>[6,4,7,5,-3,1,2]
[3,4,5,-2,7,1,6]=>[5,-4,7,-3,-2,1,6]
[3,4,-2,-7,6,1,5]=>[-4,6,-7,-3,-2,1,5]
[3,-7,-2,5,6,1,4]=>[-3,7,-2,5,6,1,4]
[-7,2,4,5,6,1,3]=>[-2,4,5,7,6,1,3]
[3,4,5,6,7,-2,1]=>[3,4,5,6,-2,7,1]
[2,1,4,3,6,5,8,7]=>[-2,1,-4,3,-6,5,-8,7]
[3,4,1,2,6,5,8,7]=>[3,4,1,2,-6,5,-8,7]
[3,4,2,1,6,5,8,7]=>[2,-4,-3,1,-6,5,-8,7]
[3,5,2,6,1,4,8,7]=>[-5,2,-3,6,1,4,-8,7]
[3,5,2,6,4,1,8,7]=>[2,-6,4,-3,-5,1,-8,7]
[3,5,2,7,4,8,1,6]=>[-7,2,4,-3,-5,8,1,6]
[3,5,2,7,4,8,6,1]=>[2,-8,4,-3,6,-5,-7,1]
[4,5,7,2,3,8,6,1]=>[5,8,2,3,6,-4,-7,1]
[4,5,7,2,3,8,1,6]=>[5,2,7,3,-4,8,1,6]
[4,5,6,2,3,1,8,7]=>[5,6,2,3,-4,1,-8,7]
[4,5,6,2,1,3,8,7]=>[2,-5,-4,6,1,3,-8,7]
[4,5,6,1,2,3,8,7]=>[1,4,5,6,2,3,-8,7]
[3,5,1,6,2,4,8,7]=>[5,6,1,-3,2,4,-8,7]
[2,1,5,6,3,4,8,7]=>[-2,-5,1,6,3,4,-8,7]
[2,1,5,6,4,3,8,7]=>[-2,1,4,-6,-5,3,-8,7]
[3,5,1,6,4,2,8,7]=>[4,-6,1,-3,-5,2,-8,7]
[4,5,6,1,3,2,8,7]=>[5,6,3,1,-4,2,-8,7]
[4,5,6,3,1,2,8,7]=>[5,6,-4,3,1,2,-8,7]
[4,5,6,3,2,1,8,7]=>[3,2,-6,-5,-4,1,-8,7]
[4,5,7,3,2,8,1,6]=>[3,-7,2,-5,-4,8,1,6]
[4,5,7,3,2,8,6,1]=>[3,2,-8,-5,6,-4,-7,1]
[4,6,7,3,8,2,5,1]=>[7,-3,8,-6,2,5,-4,1]
[4,6,7,3,8,2,1,5]=>[-7,3,8,-6,2,-4,1,5]
[4,6,7,3,8,1,2,5]=>[-4,6,7,3,1,8,2,5]
[4,5,7,3,1,8,2,6]=>[-7,3,8,-5,1,-4,2,6]
[4,5,7,1,3,8,2,6]=>[5,3,7,1,-4,8,2,6]
[3,5,1,7,4,8,2,6]=>[-7,4,1,-3,-5,8,2,6]
[2,1,5,7,4,8,3,6]=>[-2,1,-7,4,-5,8,3,6]
[2,1,5,7,4,8,6,3]=>[-2,1,4,-8,6,-5,-7,3]
[3,5,1,7,4,8,6,2]=>[4,-8,1,-3,6,-5,-7,2]
[4,5,7,1,3,8,6,2]=>[5,8,3,1,6,-4,-7,2]
[4,5,7,3,1,8,6,2]=>[3,6,-8,-5,1,-4,-7,2]
[4,6,7,3,8,1,5,2]=>[7,-3,8,-6,5,1,-4,2]
[4,6,7,3,8,5,1,2]=>[7,8,-4,3,-6,5,1,2]
[4,6,7,3,8,5,2,1]=>[3,5,-8,2,-7,-4,-6,1]
[5,6,7,8,3,4,2,1]=>[7,8,3,4,2,-6,-5,1]
[5,6,7,8,3,4,1,2]=>[5,6,7,8,3,4,1,2]
[5,6,7,8,3,1,4,2]=>[7,8,-3,-6,4,1,-5,2]
[5,6,7,8,1,3,4,2]=>[1,6,7,8,3,4,-5,2]
[4,6,7,1,8,3,5,2]=>[7,8,3,1,-6,5,-4,2]
[3,6,1,7,8,4,5,2]=>[-7,8,-3,1,4,5,-6,2]
[2,1,6,7,8,4,5,3]=>[-2,-7,1,8,4,5,-6,3]
[2,1,6,7,8,4,3,5]=>[-2,1,4,-7,-6,8,3,5]
[3,6,1,7,8,4,2,5]=>[7,8,1,4,-6,-3,2,5]
[4,6,7,1,8,3,2,5]=>[3,-7,8,-6,1,-4,2,5]
[5,6,7,8,1,3,2,4]=>[3,6,7,8,-5,1,2,4]
[5,6,7,8,3,1,2,4]=>[5,6,7,8,3,1,2,4]
[5,6,7,8,3,2,1,4]=>[3,8,-7,-6,-5,2,1,4]
[5,6,7,8,3,2,4,1]=>[7,8,-3,-6,2,4,-5,1]
[5,6,7,8,2,3,4,1]=>[5,6,7,8,3,4,-2,1]
[5,6,7,8,2,3,1,4]=>[2,6,7,8,-5,3,1,4]
[5,6,7,8,2,1,3,4]=>[-6,2,-5,7,1,8,3,4]
[5,6,7,8,1,2,3,4]=>[1,2,5,6,7,8,3,4]
[4,6,7,1,8,2,3,5]=>[-4,6,7,8,1,2,3,5]
[3,6,1,7,8,2,4,5]=>[1,6,7,-3,2,8,4,5]
[2,1,6,7,8,3,4,5]=>[-6,-2,1,3,7,8,4,5]
[2,1,5,7,3,8,4,6]=>[-2,-7,1,8,3,-5,4,6]
[3,5,1,7,2,8,4,6]=>[7,8,1,-3,2,-5,4,6]
[4,5,7,1,2,8,3,6]=>[5,1,7,8,2,-4,3,6]
[4,5,7,2,1,8,3,6]=>[2,-7,8,-5,1,-4,3,6]
[4,6,7,2,8,1,3,5]=>[-6,2,-4,1,7,8,3,5]
[4,6,7,2,8,3,1,5]=>[2,-7,8,-6,3,-4,1,5]
[4,6,7,2,8,3,5,1]=>[7,8,2,3,-6,5,-4,1]
[3,6,2,7,8,4,5,1]=>[-7,2,-3,8,4,5,-6,1]
[3,6,2,7,8,4,1,5]=>[-7,2,4,8,-6,-3,1,5]
[3,6,2,7,8,1,4,5]=>[6,2,-3,1,7,8,4,5]
[3,5,2,7,1,8,4,6]=>[-7,2,-3,8,1,-5,4,6]
[3,4,2,1,7,8,5,6]=>[2,-4,-3,-7,1,8,5,6]
[3,4,1,2,7,8,5,6]=>[3,4,1,-7,2,8,5,6]
[2,1,4,3,7,8,5,6]=>[-2,1,-4,-7,3,8,5,6]
[2,1,4,3,7,8,6,5]=>[-2,1,-4,3,6,-8,-7,5]
[3,4,1,2,7,8,6,5]=>[3,4,1,2,6,-8,-7,5]
[3,4,2,1,7,8,6,5]=>[2,-4,-3,1,6,-8,-7,5]
[3,5,2,7,1,8,6,4]=>[2,-8,6,-3,1,-5,-7,4]
[3,6,2,7,8,1,5,4]=>[-7,2,-3,8,5,1,-6,4]
[3,6,2,7,8,5,1,4]=>[-7,2,-3,8,-6,5,1,4]
[3,6,2,7,8,5,4,1]=>[2,-8,5,4,-3,-7,-6,1]
[4,6,7,2,8,5,3,1]=>[5,2,-8,3,-7,-4,-6,1]
[4,6,7,2,8,5,1,3]=>[2,-7,-4,8,-6,5,1,3]
[4,6,7,2,8,1,5,3]=>[2,-7,8,-6,5,1,-4,3]
[4,5,7,2,1,8,6,3]=>[6,2,-8,-5,1,-4,-7,3]
[4,5,7,1,2,8,6,3]=>[5,8,6,1,2,-4,-7,3]
[3,5,1,7,2,8,6,4]=>[6,-8,1,-3,2,-5,-7,4]
[2,1,5,7,3,8,6,4]=>[-2,1,6,-8,3,-5,-7,4]
[2,1,6,7,8,3,5,4]=>[-2,-7,1,8,5,3,-6,4]
[3,6,1,7,8,2,5,4]=>[7,8,1,-3,5,2,-6,4]
[4,6,7,1,8,2,5,3]=>[7,8,5,1,-6,2,-4,3]
[5,6,7,8,1,2,4,3]=>[1,6,7,8,4,2,-5,3]
[5,6,7,8,2,1,4,3]=>[2,8,-7,-6,4,1,-5,3]
[5,6,7,8,2,4,1,3]=>[2,6,7,-5,8,4,1,3]
[5,6,7,8,2,4,3,1]=>[7,8,4,2,3,-6,-5,1]
[5,6,7,8,4,2,3,1]=>[7,8,4,-6,2,3,-5,1]
[5,6,7,8,4,2,1,3]=>[2,8,-7,-6,-5,4,1,3]
[5,6,7,8,4,1,2,3]=>[5,6,7,8,1,4,2,3]
[5,6,7,8,1,4,2,3]=>[1,6,7,8,-5,4,2,3]
[4,6,7,1,8,5,2,3]=>[7,8,5,-4,-6,1,2,3]
[3,6,1,7,8,5,2,4]=>[7,8,1,-3,-6,5,2,4]
[2,1,6,7,8,5,3,4]=>[-2,-7,1,8,-6,5,3,4]
[2,1,6,7,8,5,4,3]=>[-2,1,5,4,-8,-7,-6,3]
[3,6,1,7,8,5,4,2]=>[5,-8,1,4,-3,-7,-6,2]
[4,6,7,1,8,5,3,2]=>[5,3,-8,1,-7,-4,-6,2]
[5,6,7,8,1,4,3,2]=>[7,8,4,3,1,-6,-5,2]
[5,6,7,8,4,1,3,2]=>[7,8,4,-6,3,1,-5,2]
[5,6,7,8,4,3,1,2]=>[7,8,4,-6,-5,3,1,2]
[5,6,7,8,4,3,2,1]=>[4,3,2,-8,-7,-6,-5,1]
[4,3,2,1,6,5,8,7]=>[-2,-3,-4,1,-6,5,-8,7]
[5,3,2,6,1,4,8,7]=>[-2,-5,-3,6,1,4,-8,7]
[6,3,2,5,4,1,8,7]=>[-2,-5,4,-3,-6,1,-8,7]
[7,3,2,5,4,8,1,6]=>[-2,-5,4,-7,-3,8,1,6]
[8,3,2,5,4,7,6,1]=>[-2,-5,-3,4,6,-7,-8,1]
[8,4,5,2,3,7,6,1]=>[7,5,2,3,6,-4,-8,1]
[7,4,5,2,3,8,1,6]=>[4,5,2,-7,3,8,1,6]
[6,4,5,2,3,1,8,7]=>[4,5,2,3,-6,1,-8,7]
[5,4,6,2,1,3,8,7]=>[6,-4,-5,2,1,3,-8,7]
[2,1,6,5,4,3,8,7]=>[-2,1,-4,-5,-6,3,-8,7]
[3,6,1,5,4,2,8,7]=>[-5,4,1,-3,-6,2,-8,7]
[4,6,5,1,3,2,8,7]=>[5,-4,3,1,-6,2,-8,7]
[5,6,4,3,1,2,8,7]=>[4,-6,-5,3,1,2,-8,7]
[6,5,4,3,2,1,8,7]=>[-2,-3,-4,-5,-6,1,-8,7]
[7,5,4,3,2,8,1,6]=>[-2,-3,-4,-7,-5,8,1,6]
[8,5,4,3,2,7,6,1]=>[-2,-3,-4,-7,6,-5,-8,1]
[8,6,4,3,7,2,5,1]=>[-7,-3,-8,-6,2,5,-4,1]
[7,6,4,3,8,2,1,5]=>[8,-3,-4,-6,-7,2,1,5]
[6,7,4,3,8,1,2,5]=>[-7,-6,4,3,1,8,2,5]
[5,7,4,3,1,8,2,6]=>[-3,8,-7,-4,1,-5,2,6]
[4,7,5,1,3,8,2,6]=>[5,-4,3,-7,1,8,2,6]
[3,7,1,5,4,8,2,6]=>[-5,4,1,-7,-3,8,2,6]
[2,1,7,5,4,8,3,6]=>[-2,1,-4,-7,-5,8,3,6]
[2,1,8,5,4,7,6,3]=>[-2,1,-4,-7,6,-5,-8,3]
[3,8,1,5,4,7,6,2]=>[-5,4,-3,1,6,-7,-8,2]
[4,8,5,1,3,7,6,2]=>[-4,5,3,1,6,-7,-8,2]
[5,8,4,3,1,7,6,2]=>[6,-3,-7,-4,1,-5,-8,2]
[6,8,4,3,7,1,5,2]=>[-3,-4,-8,7,5,1,-6,2]
[7,8,4,3,6,5,1,2]=>[-6,-8,4,3,-7,5,1,2]
[8,7,4,3,6,5,2,1]=>[-5,-3,-6,2,-7,-4,-8,1]
[8,7,5,6,3,4,2,1]=>[-5,6,3,4,2,-7,-8,1]
[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]
[6,8,5,7,3,1,4,2]=>[3,7,-5,-8,4,1,-6,2]
[5,8,6,7,1,3,4,2]=>[5,1,6,7,3,4,-8,2]
[4,8,6,1,7,3,5,2]=>[7,-6,3,1,-8,5,-4,2]
[3,8,1,6,7,4,5,2]=>[-6,-3,1,7,4,5,-8,2]
[2,1,8,6,7,4,5,3]=>[-7,-2,-6,1,4,5,-8,3]
[2,1,7,6,8,4,3,5]=>[-2,-8,1,-6,-7,4,3,5]
[3,7,1,6,8,4,2,5]=>[6,1,8,4,-7,-3,2,5]
[4,7,6,1,8,3,2,5]=>[-8,-6,3,1,-7,-4,2,5]
[5,7,6,8,1,3,2,4]=>[5,6,3,8,-7,1,2,4]
[6,7,5,8,3,1,2,4]=>[7,-6,5,8,3,1,2,4]
[7,6,5,8,3,2,1,4]=>[-8,-3,-5,-6,-7,2,1,4]
[8,6,5,7,3,2,4,1]=>[-7,3,-5,-8,2,4,-6,1]
[8,5,6,7,2,3,4,1]=>[5,8,6,7,3,4,-2,1]
[7,5,6,8,2,3,1,4]=>[2,5,6,8,-7,3,1,4]
[6,5,7,8,2,1,3,4]=>[2,-5,-6,7,1,8,3,4]
[5,4,7,2,1,8,3,6]=>[8,-7,2,-4,1,-5,3,6]
[6,4,7,2,8,1,3,5]=>[-4,-6,7,2,1,8,3,5]
[7,4,6,2,8,3,1,5]=>[2,-6,8,3,-7,-4,1,5]
[8,4,6,2,7,3,5,1]=>[-6,2,7,-4,3,5,-8,1]
[8,3,2,6,7,4,5,1]=>[-6,2,-3,7,4,5,-8,1]
[7,3,2,6,8,4,1,5]=>[-6,-2,4,8,-7,-3,1,5]
[6,3,2,7,8,1,4,5]=>[-6,-2,-3,1,7,8,4,5]
[5,3,2,7,1,8,4,6]=>[-2,-7,-3,8,1,-5,4,6]
[4,3,2,1,7,8,5,6]=>[-2,-3,-4,-7,1,8,5,6]
[2,1,4,3,8,7,6,5]=>[-2,1,-4,3,-6,-7,-8,5]
[3,4,1,2,8,7,6,5]=>[3,4,1,2,-6,-7,-8,5]
[4,3,2,1,8,7,6,5]=>[-2,-3,-4,1,-6,-7,-8,5]
[5,3,2,8,1,7,6,4]=>[-2,-3,-7,6,1,-5,-8,4]
[6,3,2,8,7,1,5,4]=>[-2,-7,-3,-6,5,1,-8,4]
[7,3,2,8,6,5,1,4]=>[-2,-6,-3,-8,-7,5,1,4]
[8,3,2,7,6,5,4,1]=>[-2,-5,4,-3,-6,-7,-8,1]
[8,4,7,2,6,5,3,1]=>[-6,5,2,3,-4,-7,-8,1]
[7,4,8,2,6,5,1,3]=>[-8,6,-4,2,-7,5,1,3]
[6,4,8,2,7,1,5,3]=>[7,-8,-4,2,5,1,-6,3]
[5,4,8,2,1,7,6,3]=>[6,2,-7,-4,1,-5,-8,3]
[4,5,8,1,2,7,6,3]=>[5,7,1,6,2,-4,-8,3]
[3,5,1,8,2,7,6,4]=>[-7,6,1,-3,2,-5,-8,4]
[2,1,5,8,3,7,6,4]=>[-2,1,-7,6,3,-5,-8,4]
[2,1,6,8,7,3,5,4]=>[-2,-7,1,-6,5,3,-8,4]
[3,6,1,8,7,2,5,4]=>[7,5,1,-6,-3,2,-8,4]
[4,6,8,1,7,2,5,3]=>[8,7,1,5,-6,2,-4,3]
[5,6,8,7,1,2,4,3]=>[5,6,7,1,4,2,-8,3]
[6,5,8,7,2,1,4,3]=>[4,-7,-5,-6,2,1,-8,3]
[7,5,8,6,2,4,1,3]=>[-8,5,6,-7,2,4,1,3]
[8,5,7,6,2,4,3,1]=>[6,4,-5,2,3,-7,-8,1]
[8,6,7,5,4,2,3,1]=>[5,4,-7,-6,2,3,-8,1]
[7,6,8,5,4,2,1,3]=>[4,-5,-8,-6,-7,2,1,3]
[6,7,8,5,4,1,2,3]=>[7,8,-6,5,1,4,2,3]
[5,7,8,6,1,4,2,3]=>[5,8,6,1,-7,4,2,3]
[4,7,8,1,6,5,2,3]=>[8,1,6,-4,-7,5,2,3]
[3,7,1,8,6,5,2,4]=>[6,5,1,-8,-7,-3,2,4]
[2,1,7,8,6,5,3,4]=>[-2,-6,1,-8,-7,5,3,4]
[2,1,8,7,6,5,4,3]=>[-2,1,-4,-5,-6,-7,-8,3]
[3,8,1,7,6,5,4,2]=>[-5,4,1,-3,-6,-7,-8,2]
[4,8,7,1,6,5,3,2]=>[-5,-6,3,1,-4,-7,-8,2]
[5,8,7,6,1,4,3,2]=>[4,-6,-5,3,1,-7,-8,2]
[6,8,7,5,4,1,3,2]=>[4,-5,-7,-6,3,1,-8,2]
[7,8,6,5,4,3,1,2]=>[4,-5,-6,-8,-7,3,1,2]
[8,7,6,5,4,3,2,1]=>[-2,-3,-4,-5,-6,-7,-8,1]
[7,8,5,6,2,1,4,3]=>[2,6,-5,-8,4,1,-7,3]
[7,8,5,6,1,2,4,3]=>[1,8,5,6,4,2,-7,3]
[7,8,4,1,6,2,5,3]=>[-6,-8,1,-4,5,2,-7,3]
[7,8,1,4,6,2,5,3]=>[1,8,-4,6,5,2,-7,3]
[6,1,8,4,7,2,5,3]=>[7,-4,-8,1,5,2,-6,3]
[1,6,8,4,7,2,5,3]=>[-4,1,-8,7,5,2,-6,3]
[1,6,8,3,2,7,5,4]=>[1,-5,3,-7,2,-8,-6,4]
[6,1,8,3,2,7,5,4]=>[-3,-5,1,-7,2,-8,-6,4]
[7,8,1,3,2,6,5,4]=>[3,5,-6,1,2,-8,-7,4]
[7,8,3,1,2,6,5,4]=>[6,5,3,1,2,-8,-7,4]
[7,8,3,2,1,6,5,4]=>[2,-5,-6,-3,1,-8,-7,4]
[7,8,4,2,6,1,5,3]=>[-6,-8,-4,2,5,1,-7,3]
[7,8,3,4,6,5,1,2]=>[3,8,6,4,-7,5,1,2]
[7,8,2,4,6,1,5,3]=>[7,8,6,-2,5,1,-4,3]
[7,8,2,3,1,6,5,4]=>[2,5,-6,3,1,-8,-7,4]
[7,8,2,1,3,6,5,4]=>[-6,5,2,1,3,-8,-7,4]
[7,8,1,2,3,6,5,4]=>[1,2,6,5,3,-8,-7,4]
[6,1,8,2,3,7,5,4]=>[-7,5,1,2,3,-8,-6,4]
[1,6,8,2,3,7,5,4]=>[-7,1,2,5,3,-8,-6,4]
[1,5,2,8,3,7,6,4]=>[-6,1,2,-7,3,-5,-8,4]
[5,1,2,8,3,7,6,4]=>[1,6,2,-7,3,-5,-8,4]
[5,2,1,8,3,7,6,4]=>[-6,-2,1,-7,3,-5,-8,4]
[6,2,8,1,3,7,5,4]=>[-7,-2,1,5,3,-8,-6,4]
[6,2,8,3,1,7,5,4]=>[-2,-5,3,-7,1,-8,-6,4]
[6,2,8,4,7,1,5,3]=>[2,-4,-8,7,5,1,-6,3]
[6,3,8,4,7,5,1,2]=>[7,3,-8,4,-6,5,1,2]
[3,6,8,4,7,5,1,2]=>[3,-8,7,4,-6,5,1,2]
[2,6,8,4,7,1,5,3]=>[-2,4,-8,7,5,1,-6,3]
[2,6,8,3,1,7,5,4]=>[3,5,-2,-7,1,-8,-6,4]
[2,6,8,1,3,7,5,4]=>[-2,7,1,5,3,-8,-6,4]
[2,5,1,8,3,7,6,4]=>[-2,6,1,-7,3,-5,-8,4]
[1,2,5,8,3,7,6,4]=>[1,2,-7,6,3,-5,-8,4]
[1,2,4,3,8,7,6,5]=>[1,2,-4,3,-6,-7,-8,5]
[2,4,1,3,8,7,6,5]=>[-2,4,1,3,-6,-7,-8,5]
[2,4,3,1,8,7,6,5]=>[3,-2,-4,1,-6,-7,-8,5]
[2,5,3,8,1,7,6,4]=>[3,-2,-7,6,1,-5,-8,4]
[2,5,4,8,7,1,6,3]=>[7,-2,-4,-5,6,1,-8,3]
[3,5,4,8,7,6,1,2]=>[3,-5,4,-7,-8,6,1,2]
[5,3,4,8,7,6,1,2]=>[5,3,4,-7,-8,6,1,2]
[5,2,4,8,7,1,6,3]=>[2,7,-4,-5,6,1,-8,3]
[5,2,3,8,1,7,6,4]=>[2,3,-7,6,1,-5,-8,4]
[4,2,3,1,8,7,6,5]=>[2,3,-4,1,-6,-7,-8,5]
[4,2,1,3,8,7,6,5]=>[-4,-2,1,3,-6,-7,-8,5]
[4,1,2,3,8,7,6,5]=>[1,4,2,3,-6,-7,-8,5]
[1,4,2,3,8,7,6,5]=>[-4,1,2,3,-6,-7,-8,5]
[1,4,3,2,8,7,6,5]=>[1,-3,-4,2,-6,-7,-8,5]
[4,1,3,2,8,7,6,5]=>[3,1,-4,2,-6,-7,-8,5]
[4,3,1,2,8,7,6,5]=>[-4,3,1,2,-6,-7,-8,5]
[5,4,2,8,7,1,6,3]=>[-2,-7,-4,-5,6,1,-8,3]
[5,4,3,8,7,6,1,2]=>[-4,-5,3,-7,-8,6,1,2]
[6,4,8,3,7,5,1,2]=>[-4,-8,7,3,-6,5,1,2]
[6,3,8,2,1,7,5,4]=>[5,2,-3,-7,1,-8,-6,4]
[6,3,8,1,2,7,5,4]=>[-7,3,1,5,2,-8,-6,4]
[5,3,1,8,2,7,6,4]=>[6,-3,1,-7,2,-5,-8,4]
[5,1,3,8,2,7,6,4]=>[3,1,-7,6,2,-5,-8,4]
[1,5,3,8,2,7,6,4]=>[1,-3,-7,6,2,-5,-8,4]
[1,5,4,8,7,2,6,3]=>[1,-7,-4,-5,6,2,-8,3]
[5,1,4,8,7,2,6,3]=>[7,1,-4,-5,6,2,-8,3]
[5,4,1,8,7,2,6,3]=>[6,-7,1,-4,-8,2,-5,3]
[6,4,8,1,7,2,5,3]=>[7,-8,1,-4,5,2,-6,3]
[6,5,8,7,1,2,4,3]=>[-6,5,7,1,4,2,-8,3]
[6,5,8,7,3,4,1,2]=>[-6,5,-8,7,3,4,1,2]
[5,6,8,7,3,4,1,2]=>[5,6,-8,7,3,4,1,2]
[5,6,8,7,2,1,4,3]=>[2,-7,-6,-5,4,1,-8,3]
[4,5,1,8,7,2,6,3]=>[-7,6,1,-5,-8,2,-4,3]
[4,1,5,8,7,2,6,3]=>[-7,1,-5,-4,6,2,-8,3]
[1,4,5,8,7,2,6,3]=>[1,7,-5,-4,6,2,-8,3]
[1,3,5,8,2,7,6,4]=>[1,7,-3,6,2,-5,-8,4]
[3,1,5,8,2,7,6,4]=>[-7,1,-3,6,2,-5,-8,4]
[3,6,8,1,2,7,5,4]=>[3,7,1,5,2,-8,-6,4]
[3,6,8,2,1,7,5,4]=>[2,5,-7,-3,1,-8,-6,4]
[4,6,8,2,7,1,5,3]=>[8,7,2,-6,5,1,-4,3]
[4,6,8,3,7,5,1,2]=>[8,-4,7,3,-6,5,1,2]
[4,5,3,8,7,6,1,2]=>[5,-4,3,-7,-8,6,1,2]
[4,5,2,8,7,1,6,3]=>[2,-7,-5,-4,6,1,-8,3]
[3,5,2,8,1,7,6,4]=>[2,-7,-3,6,1,-5,-8,4]
[3,4,2,1,8,7,6,5]=>[2,-4,-3,1,-6,-7,-8,5]
[3,1,4,2,8,7,6,5]=>[-4,1,-3,2,-6,-7,-8,5]
[1,3,4,2,8,7,6,5]=>[1,4,-3,2,-6,-7,-8,5]
[1,3,2,4,8,7,6,5]=>[1,-3,2,4,-6,-7,-8,5]
[3,1,2,4,8,7,6,5]=>[3,1,2,4,-6,-7,-8,5]
[3,2,1,4,8,7,6,5]=>[-2,-3,1,4,-6,-7,-8,5]
[3,2,4,1,8,7,6,5]=>[-2,4,-3,1,-6,-7,-8,5]
[3,2,5,8,1,7,6,4]=>[-2,7,-3,6,1,-5,-8,4]
[4,2,5,8,7,1,6,3]=>[-2,7,-5,-4,6,1,-8,3]
[4,3,5,8,7,6,1,2]=>[-4,3,5,-7,-8,6,1,2]
[3,4,5,8,7,6,1,2]=>[3,4,5,-7,-8,6,1,2]
[2,4,5,8,7,1,6,3]=>[5,7,-2,-4,6,1,-8,3]
[2,3,5,8,1,7,6,4]=>[3,7,-2,6,1,-5,-8,4]
[2,3,4,1,8,7,6,5]=>[3,4,-2,1,-6,-7,-8,5]
[2,3,1,4,8,7,6,5]=>[3,-2,1,4,-6,-7,-8,5]
[2,1,3,4,8,7,6,5]=>[-2,1,3,4,-6,-7,-8,5]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,-6,-7,-8,5]
[7,8,5,6,1,2,3,4]=>[1,2,7,8,5,6,3,4]
[7,8,4,1,6,2,3,5]=>[8,4,-7,1,2,6,3,5]
[7,8,1,4,5,2,3,6]=>[7,1,4,8,5,2,3,6]
[6,1,8,4,5,2,3,7]=>[4,8,-6,1,5,2,3,7]
[1,6,7,4,5,2,3,8]=>[7,-6,1,4,5,2,3,8]
[1,6,7,3,2,5,4,8]=>[1,-5,-7,3,2,-6,4,8]
[6,1,8,3,2,5,4,7]=>[-3,-8,-5,1,2,-6,4,7]
[7,8,1,3,2,5,4,6]=>[3,-8,5,1,-7,2,4,6]
[7,8,3,1,2,6,4,5]=>[3,8,6,1,-7,2,4,5]
[7,8,3,4,5,6,1,2]=>[3,4,7,8,5,6,1,2]
[7,8,2,4,5,1,6,3]=>[7,8,5,6,-2,1,-4,3]
[7,8,2,3,1,5,6,4]=>[-8,2,5,3,1,6,-7,4]
[7,8,2,1,3,4,6,5]=>[8,2,6,1,3,4,-7,5]
[7,8,1,2,3,4,5,6]=>[1,2,3,4,7,8,5,6]
[6,1,8,2,3,4,5,7]=>[1,6,2,8,3,4,5,7]
[1,6,7,2,3,4,5,8]=>[1,6,2,3,7,4,5,8]
[1,5,2,7,3,4,6,8]=>[7,1,-5,2,3,4,6,8]
[5,1,2,8,3,4,6,7]=>[1,-5,2,8,3,4,6,7]
[5,2,1,8,3,4,7,6]=>[7,-2,-5,1,3,4,-8,6]
[6,2,8,1,3,4,7,5]=>[8,-2,1,3,7,4,-6,5]
[6,2,8,3,1,5,7,4]=>[-5,-2,-8,3,1,7,-6,4]
[6,2,8,4,5,1,7,3]=>[-4,2,5,7,-8,1,-6,3]
[6,3,8,4,5,7,1,2]=>[-6,8,3,4,5,7,1,2]
[3,6,7,4,5,8,1,2]=>[-6,3,7,4,5,8,1,2]
[2,6,7,4,5,1,8,3]=>[-2,4,5,8,-7,1,-6,3]
[2,6,7,3,1,5,8,4]=>[3,5,-7,-2,1,8,-6,4]
[2,6,7,1,3,4,8,5]=>[-2,1,7,8,3,4,-6,5]
[2,5,1,7,3,4,8,6]=>[-2,8,-5,1,3,4,-7,6]
[1,2,5,6,3,4,7,8]=>[1,-5,2,6,3,4,7,8]
[1,2,4,3,6,5,7,8]=>[1,2,-4,3,-6,5,7,8]
[2,4,1,3,7,5,8,6]=>[-2,4,1,3,-8,5,-7,6]
[2,4,3,1,7,6,8,5]=>[3,-2,-4,1,-6,8,-7,5]
[2,5,3,7,1,6,8,4]=>[3,-2,-7,6,1,8,-5,4]
[2,5,4,7,6,1,8,3]=>[6,-2,8,-4,-5,1,-7,3]
[3,5,4,7,6,8,1,2]=>[3,-5,4,-7,6,8,1,2]
[5,3,4,8,6,7,1,2]=>[5,3,-8,4,6,7,1,2]
[5,2,4,8,6,1,7,3]=>[2,6,7,-4,-8,1,-5,3]
[5,2,3,8,1,6,7,4]=>[2,3,-8,1,6,7,-5,4]
[4,2,3,1,8,6,7,5]=>[2,3,-4,-6,1,7,-8,5]
[4,2,1,3,8,5,7,6]=>[-4,-2,1,-7,3,5,-8,6]
[4,1,2,3,8,5,6,7]=>[1,4,-8,2,3,5,6,7]
[1,4,2,3,7,5,6,8]=>[-4,1,2,-7,3,5,6,8]
[1,4,3,2,7,6,5,8]=>[1,-3,-4,2,-6,-7,5,8]
[4,1,3,2,8,6,5,7]=>[3,1,-4,2,-8,-6,5,7]
[4,3,1,2,8,7,5,6]=>[-4,3,1,-7,-8,2,5,6]
[6,3,8,1,2,7,4,5]=>[8,3,1,2,-6,7,4,5]
[5,3,1,8,2,7,4,6]=>[-3,7,-8,1,2,-5,4,6]
[5,1,3,8,2,6,4,7]=>[3,-8,1,6,2,-5,4,7]
[1,5,3,7,2,6,4,8]=>[1,-3,-7,6,2,-5,4,8]
[1,5,4,7,6,2,3,8]=>[-4,-5,1,-7,6,2,3,8]
[5,1,4,8,6,2,3,7]=>[1,-5,-8,4,6,2,3,7]
[5,4,1,8,7,2,3,6]=>[-4,-5,-8,7,1,2,3,6]
[6,4,8,1,7,2,3,5]=>[-4,1,-6,8,2,7,3,5]
[6,5,8,7,1,2,3,4]=>[8,1,6,5,2,7,3,4]
[4,5,1,7,8,2,3,6]=>[5,-4,7,1,2,8,3,6]
[4,1,5,6,8,2,3,7]=>[5,-4,1,6,2,8,3,7]
[1,4,5,6,7,2,3,8]=>[-4,1,5,6,7,2,3,8]
[1,3,5,6,2,7,4,8]=>[1,6,7,-3,2,-5,4,8]
[3,1,5,6,2,8,4,7]=>[-6,1,-3,8,2,-5,4,7]
[3,6,7,1,2,8,4,5]=>[3,1,7,8,-6,2,4,5]
[3,6,7,2,1,8,5,4]=>[5,2,-8,-3,1,-7,-6,4]
[4,5,3,7,8,6,1,2]=>[5,-4,3,8,-7,6,1,2]
[4,5,2,7,8,1,6,3]=>[2,-7,-5,8,6,1,-4,3]
[3,1,4,2,6,8,5,7]=>[-4,1,-3,2,-6,8,5,7]
[1,3,4,2,6,7,5,8]=>[1,4,-3,2,7,-6,5,8]
[1,3,2,4,5,7,6,8]=>[1,-3,2,4,5,-7,6,8]
[3,1,2,4,5,8,6,7]=>[3,1,2,4,-8,5,6,7]
[3,2,1,4,5,8,7,6]=>[-2,-3,1,4,5,-7,-8,6]
[3,2,4,1,6,8,7,5]=>[-2,4,-3,1,7,-6,-8,5]
[3,2,5,6,1,8,7,4]=>[-2,6,7,-3,1,-5,-8,4]
[4,2,5,6,8,1,7,3]=>[-2,6,8,-5,7,1,-4,3]
[4,3,5,6,8,7,1,2]=>[-4,3,5,6,-8,7,1,2]
[3,4,5,6,7,8,1,2]=>[3,4,5,6,7,8,1,2]
[2,4,5,6,7,1,8,3]=>[5,6,7,8,-2,1,-4,3]
[2,3,5,6,1,7,8,4]=>[3,6,7,-2,1,8,-5,4]
[2,3,4,1,6,7,8,5]=>[3,4,-2,1,7,8,-6,5]
[2,3,1,4,5,7,8,6]=>[3,-2,1,4,5,8,-7,6]
[2,1,3,4,5,6,8,7]=>[-2,1,3,4,5,6,-8,7]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[4,3,1,2,6,5,8,7]=>[-4,3,1,2,-6,5,-8,7]
[5,3,1,6,2,4,8,7]=>[6,-3,-5,1,2,4,-8,7]
[6,3,1,5,2,4,8,7]=>[-6,5,1,-3,2,4,-8,7]
[7,3,1,5,2,8,4,6]=>[8,-5,1,-3,-7,2,4,6]
[8,3,1,5,2,7,4,6]=>[-8,7,1,-3,2,-5,4,6]
[8,4,5,1,2,7,3,6]=>[5,8,1,7,2,-4,3,6]
[7,4,5,1,2,8,3,6]=>[4,5,1,8,-7,2,3,6]
[6,4,5,1,2,3,8,7]=>[1,6,4,5,2,3,-8,7]
[5,4,6,1,2,3,8,7]=>[5,1,4,6,2,3,-8,7]
[2,1,6,5,3,4,8,7]=>[-2,-5,-6,1,3,4,-8,7]
[3,6,1,5,2,4,8,7]=>[6,1,5,-3,2,4,-8,7]
[4,6,5,1,2,3,8,7]=>[6,4,1,5,2,3,-8,7]
[5,6,4,1,2,3,8,7]=>[5,6,1,4,2,3,-8,7]
[6,5,4,1,2,3,8,7]=>[-6,5,1,4,2,3,-8,7]
[7,5,4,1,2,8,3,6]=>[-4,-5,1,8,-7,2,3,6]
[8,5,4,1,2,7,3,6]=>[-8,-4,1,7,2,-5,3,6]
[8,6,4,1,7,2,3,5]=>[-8,-6,-4,7,1,2,3,5]
[7,6,4,1,8,2,3,5]=>[-6,-7,-4,8,1,2,3,5]
[6,7,4,1,8,2,3,5]=>[-7,-6,4,8,1,2,3,5]
[5,7,4,1,2,8,3,6]=>[-7,4,1,8,2,-5,3,6]
[4,7,5,1,2,8,3,6]=>[5,-4,1,8,-7,2,3,6]
[3,7,1,5,2,8,4,6]=>[-5,1,8,-3,-7,2,4,6]
[2,1,7,5,3,8,4,6]=>[-2,-8,1,-5,-7,3,4,6]
[2,1,8,5,3,7,4,6]=>[-2,-7,-8,1,3,-5,4,6]
[3,8,1,5,2,7,4,6]=>[5,1,7,-3,-8,2,4,6]
[4,8,5,1,2,7,3,6]=>[-4,5,1,7,-8,2,3,6]
[5,8,4,1,2,7,3,6]=>[8,4,1,7,2,-5,3,6]
[6,8,4,1,7,2,3,5]=>[8,-6,4,7,1,2,3,5]
[8,7,4,1,6,2,3,5]=>[-8,7,-4,6,1,2,3,5]
[8,7,5,6,1,2,3,4]=>[1,8,2,7,5,6,3,4]
[6,8,5,7,1,2,3,4]=>[1,6,2,8,5,7,3,4]
[5,8,6,7,1,2,3,4]=>[1,8,2,5,6,7,3,4]
[4,8,6,1,7,2,3,5]=>[8,6,-4,7,1,2,3,5]
[3,8,1,6,7,2,4,5]=>[1,8,-3,2,6,7,4,5]
[2,1,8,6,7,3,4,5]=>[6,-8,-2,1,3,7,4,5]
[2,1,7,6,8,3,4,5]=>[-6,-7,-2,1,3,8,4,5]
[3,7,1,6,8,2,4,5]=>[1,7,-3,6,2,8,4,5]
[4,7,6,1,8,2,3,5]=>[-4,-7,6,8,1,2,3,5]
[5,7,6,8,1,2,3,4]=>[1,7,5,2,6,8,3,4]
[6,7,5,8,1,2,3,4]=>[1,6,7,2,5,8,3,4]
[7,6,5,8,1,2,3,4]=>[7,1,6,2,5,8,3,4]
[8,6,5,7,1,2,3,4]=>[6,1,8,2,5,7,3,4]
[8,5,6,7,1,2,3,4]=>[1,2,5,8,6,7,3,4]
[7,5,6,8,1,2,3,4]=>[1,2,7,5,6,8,3,4]
[6,5,7,8,1,2,3,4]=>[1,6,2,5,7,8,3,4]
[5,4,7,1,2,8,3,6]=>[-4,1,7,8,2,-5,3,6]
[6,4,7,1,8,2,3,5]=>[-6,-4,7,8,1,2,3,5]
[7,4,6,1,8,2,3,5]=>[-7,4,6,8,1,2,3,5]
[8,4,6,1,7,2,3,5]=>[4,1,-8,6,2,7,3,5]
[8,3,1,6,7,2,4,5]=>[1,8,6,-3,2,7,4,5]
[7,3,1,6,8,2,4,5]=>[7,1,6,-3,2,8,4,5]
[6,3,1,7,8,2,4,5]=>[-3,-6,7,1,2,8,4,5]
[5,3,1,7,2,8,4,6]=>[8,-3,-7,1,2,-5,4,6]
[4,3,1,2,7,8,5,6]=>[-4,3,1,-7,2,8,5,6]
[2,1,4,3,8,7,5,6]=>[-2,1,-4,-7,-8,3,5,6]
[3,4,1,2,8,7,5,6]=>[3,4,1,-7,-8,2,5,6]
[6,3,1,8,7,2,4,5]=>[-3,-6,-8,7,1,2,4,5]
[7,3,1,8,6,2,4,5]=>[-3,-8,-7,6,1,2,4,5]
[8,3,1,7,6,2,4,5]=>[7,1,-8,6,-3,2,4,5]
[8,4,7,1,6,2,3,5]=>[4,-8,1,7,2,6,3,5]
[7,4,8,1,6,2,3,5]=>[7,1,8,-4,2,6,3,5]
[5,4,8,1,2,7,3,6]=>[-4,1,8,2,7,-5,3,6]
[4,5,8,1,2,7,3,6]=>[5,1,8,2,7,-4,3,6]
[3,5,1,8,2,7,4,6]=>[8,1,7,-3,2,-5,4,6]
[2,1,5,8,3,7,4,6]=>[-2,-8,1,3,7,-5,4,6]
[2,1,6,8,7,3,4,5]=>[-6,-2,-8,1,3,7,4,5]
[3,6,1,8,7,2,4,5]=>[1,6,-8,7,-3,2,4,5]
[4,6,8,1,7,2,3,5]=>[1,6,8,-4,2,7,3,5]
[5,6,8,7,1,2,3,4]=>[1,8,5,6,2,7,3,4]
[7,5,8,6,1,2,3,4]=>[7,1,8,5,2,6,3,4]
[8,5,7,6,1,2,3,4]=>[1,8,7,5,2,6,3,4]
[8,6,7,5,1,2,3,4]=>[1,8,6,7,2,5,3,4]
[7,6,8,5,1,2,3,4]=>[7,1,6,8,2,5,3,4]
[6,7,8,5,1,2,3,4]=>[1,6,7,8,2,5,3,4]
[5,7,8,6,1,2,3,4]=>[1,7,5,8,2,6,3,4]
[4,7,8,1,6,2,3,5]=>[1,7,-4,8,2,6,3,5]
[3,7,1,8,6,2,4,5]=>[1,8,-7,6,-3,2,4,5]
[2,1,7,8,6,3,4,5]=>[-8,-2,-7,1,3,6,4,5]
[2,1,8,7,6,3,4,5]=>[-6,-7,-8,-2,1,3,4,5]
[3,8,1,7,6,2,4,5]=>[1,-8,7,6,-3,2,4,5]
[4,8,7,1,6,2,3,5]=>[-4,1,-8,7,2,6,3,5]
[5,8,7,6,1,2,3,4]=>[8,7,1,5,2,6,3,4]
[6,8,7,5,1,2,3,4]=>[8,6,1,7,2,5,3,4]
[7,8,6,5,1,2,3,4]=>[7,8,1,6,2,5,3,4]
[8,7,6,5,1,2,3,4]=>[-8,7,1,6,2,5,3,4]
[6,5,7,8,3,4,1,2]=>[-6,5,7,8,3,4,1,2]
[6,4,7,3,8,5,1,2]=>[-4,8,-7,3,-6,5,1,2]
[6,4,7,3,5,8,1,2]=>[-6,-4,7,3,5,8,1,2]
[6,4,7,2,5,1,8,3]=>[-5,-7,2,8,-6,1,-4,3]
[6,4,7,2,5,1,3,8]=>[-6,7,-4,2,5,1,3,8]
[5,4,2,7,6,1,3,8]=>[-4,-5,-2,-7,6,1,3,8]
[5,4,2,7,6,1,8,3]=>[-2,-6,8,-4,-5,1,-7,3]
[5,4,3,7,6,8,1,2]=>[-4,-5,3,-7,6,8,1,2]
[5,4,3,7,8,6,1,2]=>[-4,-5,3,8,-7,6,1,2]
[7,8,4,3,5,6,1,2]=>[-7,8,4,3,5,6,1,2]
[6,4,8,3,5,7,1,2]=>[-6,-4,3,8,5,7,1,2]
[5,4,3,8,6,7,1,2]=>[-4,-5,-8,3,6,7,1,2]
[5,4,3,6,8,7,1,2]=>[-4,-5,3,6,-8,7,1,2]
[5,4,3,6,7,8,1,2]=>[-4,-5,3,6,7,8,1,2]
[5,4,2,6,7,1,8,3]=>[-2,-6,7,8,-4,1,-5,3]
[5,4,2,6,7,1,3,8]=>[-4,-5,-2,6,7,1,3,8]
[5,3,2,6,1,7,4,8]=>[-2,-3,7,-6,1,-5,4,8]
[5,3,2,6,1,7,8,4]=>[-2,-3,7,-6,1,8,-5,4]
[5,3,2,6,1,8,7,4]=>[-2,-3,7,-6,1,-5,-8,4]
[5,4,2,6,8,1,7,3]=>[-2,-6,8,-4,7,1,-5,3]
[5,4,2,8,6,1,7,3]=>[-2,-6,7,-4,-8,1,-5,3]
[6,4,8,2,5,1,7,3]=>[5,-8,2,7,-6,1,-4,3]
[7,8,4,2,5,1,6,3]=>[-5,-8,2,-4,6,1,-7,3]
[7,8,4,2,5,1,3,6]=>[8,-7,4,2,5,1,3,6]
[6,4,8,2,5,1,3,7]=>[-6,-4,8,2,5,1,3,7]
[5,4,2,8,6,1,3,7]=>[-4,-5,-8,-2,6,1,3,7]
[5,4,2,6,8,1,3,7]=>[-4,-5,-2,6,1,8,3,7]
[5,3,2,6,1,8,4,7]=>[-2,-3,-6,8,1,-5,4,7]
[5,3,2,6,1,4,7,8]=>[-2,-5,-3,6,1,4,7,8]
[4,3,2,1,6,5,7,8]=>[-2,-3,-4,1,-6,5,7,8]
[4,3,2,1,6,8,5,7]=>[-2,-3,-4,1,-6,8,5,7]
[4,3,2,1,8,6,5,7]=>[-2,-3,-4,1,-8,-6,5,7]
[5,3,2,8,1,6,4,7]=>[-2,-8,-3,6,1,-5,4,7]
[6,3,8,2,1,5,4,7]=>[5,-8,2,-3,1,-6,4,7]
[7,8,3,2,1,5,4,6]=>[2,-8,-5,-3,-7,1,4,6]
[7,8,3,2,1,5,6,4]=>[-5,-8,2,-3,1,6,-7,4]
[6,3,8,2,1,5,7,4]=>[2,5,-8,-3,1,7,-6,4]
[5,3,2,8,1,6,7,4]=>[-2,-3,-8,1,6,7,-5,4]
[4,3,2,1,8,6,7,5]=>[-2,-3,-4,-6,1,7,-8,5]
[4,3,2,1,6,8,7,5]=>[-2,-3,-4,1,7,-6,-8,5]
[4,3,2,1,6,7,8,5]=>[-2,-3,-4,1,7,8,-6,5]
[4,3,2,1,6,7,5,8]=>[-2,-3,-4,1,7,-6,5,8]
[4,3,2,1,7,6,5,8]=>[-2,-3,-4,1,-6,-7,5,8]
[4,3,2,1,7,6,8,5]=>[-2,-3,-4,1,-6,8,-7,5]
[4,3,2,1,7,8,6,5]=>[-2,-3,-4,1,6,-8,-7,5]
[5,4,2,7,8,1,6,3]=>[-2,-7,-4,8,6,1,-5,3]
[5,3,2,7,1,8,6,4]=>[-2,-3,6,-8,1,-5,-7,4]
[5,3,2,7,1,6,8,4]=>[-2,-3,-7,6,1,8,-5,4]
[5,3,2,7,1,6,4,8]=>[-2,-3,-7,6,1,-5,4,8]
[6,3,7,2,1,5,4,8]=>[5,2,-7,-3,1,-6,4,8]
[6,3,7,2,1,5,8,4]=>[5,2,-7,-3,1,8,-6,4]
[6,3,7,2,1,8,5,4]=>[-5,2,-3,-8,1,-7,-6,4]
[6,4,7,2,8,1,5,3]=>[8,2,-7,-6,5,1,-4,3]
[6,5,7,8,2,1,4,3]=>[8,2,-7,-5,4,1,-6,3]
[7,8,5,6,2,1,3,4]=>[-8,2,-7,5,1,6,3,4]
[6,5,8,7,2,1,3,4]=>[5,-6,-8,7,2,1,3,4]
[6,3,7,2,1,8,4,5]=>[8,2,-7,-3,-6,1,4,5]
[6,3,7,2,1,4,8,5]=>[8,2,-7,-3,1,4,-6,5]
[6,3,7,2,1,4,5,8]=>[2,-6,7,-3,1,4,5,8]
[5,3,2,7,1,4,6,8]=>[-2,-5,-3,1,7,4,6,8]
[5,3,2,7,1,4,8,6]=>[-2,-5,-3,8,1,4,-7,6]
[5,4,2,7,8,1,3,6]=>[-4,-5,-2,1,7,8,3,6]
[5,4,2,8,7,1,3,6]=>[-4,-5,-8,-2,1,7,3,6]
[6,4,8,2,7,1,3,5]=>[-6,-4,8,2,1,7,3,5]
[7,8,4,2,6,1,3,5]=>[8,-7,4,2,1,6,3,5]
[7,8,3,2,1,6,4,5]=>[-6,-8,2,-3,-7,1,4,5]
[6,3,8,2,1,7,4,5]=>[2,7,-8,-3,-6,1,4,5]
[5,3,2,8,1,7,4,6]=>[-2,-8,-3,1,7,-5,4,6]
[4,3,2,1,8,7,5,6]=>[-2,-3,-4,-7,-8,1,5,6]
[4,3,2,1,7,5,8,6]=>[-2,-3,-4,1,-8,5,-7,6]
[4,3,2,1,7,5,6,8]=>[-2,-3,-4,-7,1,5,6,8]
[4,3,2,1,5,7,6,8]=>[-2,-3,-4,1,5,-7,6,8]
[4,3,2,1,5,7,8,6]=>[-2,-3,-4,1,5,8,-7,6]
[4,3,2,1,5,8,7,6]=>[-2,-3,-4,1,5,-7,-8,6]
[4,3,2,1,8,5,7,6]=>[-2,-3,-4,-7,1,5,-8,6]
[5,3,2,8,1,4,7,6]=>[-2,-5,-3,1,7,4,-8,6]
[6,3,8,2,1,4,7,5]=>[2,7,-8,-3,1,4,-6,5]
[7,8,3,2,1,4,6,5]=>[-6,-8,2,-3,1,4,-7,5]
[7,8,3,2,1,4,5,6]=>[-7,8,2,-3,1,4,5,6]
[6,3,8,2,1,4,5,7]=>[2,-6,-3,8,1,4,5,7]
[5,3,2,8,1,4,6,7]=>[-2,-5,-3,1,4,8,6,7]
[4,3,2,1,8,5,6,7]=>[-2,-3,-8,-4,1,5,6,7]
[4,3,2,1,5,8,6,7]=>[-2,-3,-4,1,-8,5,6,7]
[4,3,2,1,5,6,8,7]=>[-2,-3,-4,1,5,6,-8,7]
[4,3,2,1,5,6,7,8]=>[-2,-3,-4,1,5,6,7,8]
[3,1,4,2,6,5,8,7]=>[-4,1,-3,2,-6,5,-8,7]
[3,2,4,1,6,5,8,7]=>[-2,4,-3,1,-6,5,-8,7]
[3,2,5,1,6,4,8,7]=>[-2,6,-3,1,-5,4,-8,7]
[3,2,5,4,6,1,8,7]=>[-2,4,-3,6,-5,1,-8,7]
[3,2,5,4,7,1,8,6]=>[-2,4,-3,8,-5,1,-7,6]
[3,2,5,4,7,6,8,1]=>[-2,4,-3,6,-5,8,-7,1]
[4,2,5,3,7,6,8,1]=>[-2,3,-5,6,-4,8,-7,1]
[4,2,5,3,7,1,8,6]=>[-2,3,-5,8,-4,1,-7,6]
[4,2,5,3,6,1,8,7]=>[-2,3,-5,6,-4,1,-8,7]
[4,2,5,1,6,3,8,7]=>[-2,6,-5,1,-4,3,-8,7]
[4,1,5,2,6,3,8,7]=>[-6,1,-5,2,-4,3,-8,7]
[3,1,5,2,6,4,8,7]=>[-6,1,-3,2,-5,4,-8,7]
[2,1,5,3,6,4,8,7]=>[-2,1,-6,3,-5,4,-8,7]
[2,1,5,4,6,3,8,7]=>[-2,1,-4,6,-5,3,-8,7]
[3,1,5,4,6,2,8,7]=>[-4,1,-3,6,-5,2,-8,7]
[4,1,5,3,6,2,8,7]=>[-3,1,-5,6,-4,2,-8,7]
[4,3,5,1,6,2,8,7]=>[-5,6,-3,1,-4,2,-8,7]
[4,3,5,2,6,1,8,7]=>[-5,2,-3,6,-4,1,-8,7]
[4,3,5,2,7,1,8,6]=>[-5,2,-3,8,-4,1,-7,6]
[4,3,5,2,7,6,8,1]=>[-5,2,-3,6,-4,8,-7,1]
[4,3,6,2,7,5,8,1]=>[-7,2,-3,5,-4,8,-6,1]
[4,3,6,2,7,1,8,5]=>[-7,2,-3,8,-4,1,-6,5]
[4,3,6,1,7,2,8,5]=>[-7,8,-3,1,-4,2,-6,5]
[4,3,5,1,7,2,8,6]=>[-5,8,-3,1,-4,2,-7,6]
[4,1,5,3,7,2,8,6]=>[-3,1,-5,8,-4,2,-7,6]
[3,1,5,4,7,2,8,6]=>[-4,1,-3,8,-5,2,-7,6]
[2,1,5,4,7,3,8,6]=>[-2,1,-4,8,-5,3,-7,6]
[2,1,5,4,7,6,8,3]=>[-2,1,-4,6,-5,8,-7,3]
[3,1,5,4,7,6,8,2]=>[-4,1,-3,6,-5,8,-7,2]
[4,1,5,3,7,6,8,2]=>[-3,1,-5,6,-4,8,-7,2]
[4,3,5,1,7,6,8,2]=>[-5,6,-3,1,-4,8,-7,2]
[4,3,6,1,7,5,8,2]=>[-7,5,-3,1,-4,8,-6,2]
[4,3,6,5,7,1,8,2]=>[-5,7,-3,8,-4,1,-6,2]
[4,3,6,5,7,2,8,1]=>[-5,7,-3,2,-4,8,-6,1]
[5,3,6,4,7,2,8,1]=>[-4,7,-3,2,-6,8,-5,1]
[5,3,6,4,7,1,8,2]=>[-4,7,-3,8,-6,1,-5,2]
[5,3,6,1,7,4,8,2]=>[-7,4,-3,1,-6,8,-5,2]
[5,1,6,3,7,4,8,2]=>[-3,1,-7,4,-6,8,-5,2]
[4,1,6,3,7,5,8,2]=>[-3,1,-7,5,-4,8,-6,2]
[3,1,6,4,7,5,8,2]=>[-4,1,-3,5,-7,8,-6,2]
[2,1,6,4,7,5,8,3]=>[-2,1,-4,5,-7,8,-6,3]
[2,1,6,4,7,3,8,5]=>[-2,1,-4,8,-7,3,-6,5]
[3,1,6,4,7,2,8,5]=>[-4,1,-3,8,-7,2,-6,5]
[4,1,6,3,7,2,8,5]=>[-3,1,-7,8,-4,2,-6,5]
[5,1,6,3,7,2,8,4]=>[-3,1,-7,8,-6,2,-5,4]
[5,3,6,1,7,2,8,4]=>[-7,8,-3,1,-6,2,-5,4]
[5,3,6,2,7,1,8,4]=>[-7,2,-3,8,-6,1,-5,4]
[5,3,6,2,7,4,8,1]=>[-7,2,-3,4,-6,8,-5,1]
[5,2,6,3,7,4,8,1]=>[-2,3,-7,4,-6,8,-5,1]
[5,2,6,3,7,1,8,4]=>[-2,3,-7,8,-6,1,-5,4]
[5,2,6,1,7,3,8,4]=>[-2,8,-7,1,-6,3,-5,4]
[5,1,6,2,7,3,8,4]=>[-8,1,-7,2,-6,3,-5,4]
[4,1,6,2,7,3,8,5]=>[-8,1,-7,2,-4,3,-6,5]
[3,1,6,2,7,4,8,5]=>[-8,1,-3,2,-7,4,-6,5]
[2,1,6,3,7,4,8,5]=>[-2,1,-8,3,-7,4,-6,5]
[2,1,5,3,7,4,8,6]=>[-2,1,-8,3,-5,4,-7,6]
[3,1,5,2,7,4,8,6]=>[-8,1,-3,2,-5,4,-7,6]
[4,1,5,2,7,3,8,6]=>[-8,1,-5,2,-4,3,-7,6]
[4,2,5,1,7,3,8,6]=>[-2,8,-5,1,-4,3,-7,6]
[4,2,6,1,7,3,8,5]=>[-2,8,-7,1,-4,3,-6,5]
[4,2,6,3,7,1,8,5]=>[-2,3,-7,8,-4,1,-6,5]
[4,2,6,3,7,5,8,1]=>[-2,3,-7,5,-4,8,-6,1]
[3,2,6,4,7,5,8,1]=>[-2,4,-3,5,-7,8,-6,1]
[3,2,6,4,7,1,8,5]=>[-2,4,-3,8,-7,1,-6,5]
[3,2,6,1,7,4,8,5]=>[-2,8,-3,1,-7,4,-6,5]
[3,2,5,1,7,4,8,6]=>[-2,8,-3,1,-5,4,-7,6]
[3,2,4,1,7,5,8,6]=>[-2,4,-3,1,-8,5,-7,6]
[3,1,4,2,7,5,8,6]=>[-4,1,-3,2,-8,5,-7,6]
[2,1,4,3,7,5,8,6]=>[-2,1,-4,3,-8,5,-7,6]
[2,1,4,3,7,6,8,5]=>[-2,1,-4,3,-6,8,-7,5]
[3,1,4,2,7,6,8,5]=>[-4,1,-3,2,-6,8,-7,5]
[3,2,4,1,7,6,8,5]=>[-2,4,-3,1,-6,8,-7,5]
[3,2,5,1,7,6,8,4]=>[-2,6,-3,1,-5,8,-7,4]
[3,2,6,1,7,5,8,4]=>[-2,5,-3,1,-7,8,-6,4]
[3,2,6,5,7,1,8,4]=>[-2,7,-3,8,-5,1,-6,4]
[3,2,6,5,7,4,8,1]=>[-2,7,-3,4,-5,8,-6,1]
[4,2,6,5,7,3,8,1]=>[-2,7,-5,3,-4,8,-6,1]
[4,2,6,5,7,1,8,3]=>[-2,7,-5,8,-4,1,-6,3]
[4,2,6,1,7,5,8,3]=>[-2,5,-7,1,-4,8,-6,3]
[4,2,5,1,7,6,8,3]=>[-2,6,-5,1,-4,8,-7,3]
[4,1,5,2,7,6,8,3]=>[-6,1,-5,2,-4,8,-7,3]
[3,1,5,2,7,6,8,4]=>[-6,1,-3,2,-5,8,-7,4]
[2,1,5,3,7,6,8,4]=>[-2,1,-6,3,-5,8,-7,4]
[2,1,6,3,7,5,8,4]=>[-2,1,-5,3,-7,8,-6,4]
[3,1,6,2,7,5,8,4]=>[-5,1,-3,2,-7,8,-6,4]
[4,1,6,2,7,5,8,3]=>[-5,1,-7,2,-4,8,-6,3]
[5,1,6,2,7,4,8,3]=>[-4,1,-7,2,-6,8,-5,3]
[5,2,6,1,7,4,8,3]=>[-2,4,-7,1,-6,8,-5,3]
[5,2,6,4,7,1,8,3]=>[-2,7,-4,8,-6,1,-5,3]
[5,2,6,4,7,3,8,1]=>[-2,7,-4,3,-6,8,-5,1]
[5,4,6,2,7,3,8,1]=>[-7,2,-6,3,-4,8,-5,1]
[5,4,6,2,7,1,8,3]=>[-7,2,-6,8,-4,1,-5,3]
[5,4,6,1,7,2,8,3]=>[-7,8,-6,1,-4,2,-5,3]
[5,1,6,4,7,2,8,3]=>[-7,1,-4,8,-6,2,-5,3]
[4,1,6,5,7,2,8,3]=>[-7,1,-5,8,-4,2,-6,3]
[3,1,6,5,7,2,8,4]=>[-7,1,-3,8,-5,2,-6,4]
[2,1,6,5,7,3,8,4]=>[-2,1,-7,8,-5,3,-6,4]
[2,1,6,5,7,4,8,3]=>[-2,1,-7,4,-5,8,-6,3]
[3,1,6,5,7,4,8,2]=>[-7,1,-3,4,-5,8,-6,2]
[4,1,6,5,7,3,8,2]=>[-7,1,-5,3,-4,8,-6,2]
[5,1,6,4,7,3,8,2]=>[-7,1,-4,3,-6,8,-5,2]
[5,4,6,1,7,3,8,2]=>[-7,3,-6,1,-4,8,-5,2]
[5,4,6,3,7,1,8,2]=>[-3,7,-6,8,-4,1,-5,2]
[5,4,6,3,7,2,8,1]=>[-3,7,-6,2,-4,8,-5,1]
[2,4,3,1,6,5,8,7]=>[3,-2,-4,1,-6,5,-8,7]
[4,1,3,2,6,5,8,7]=>[3,1,-4,2,-6,5,-8,7]
[4,5,3,6,2,1,8,7]=>[6,-3,2,-5,-4,1,-8,7]
[6,5,3,1,2,4,8,7]=>[-6,5,3,1,2,4,-8,7]
[6,5,3,7,2,8,4,1]=>[-8,-3,2,-7,4,-5,-6,1]
[8,5,3,7,2,1,4,6]=>[-3,-8,7,-5,2,1,4,6]
[8,3,7,4,5,1,2,6]=>[-8,3,4,7,5,1,2,6]
[6,3,7,4,5,8,2,1]=>[4,-3,5,8,2,-7,-6,1]
[6,3,1,4,5,2,8,7]=>[4,-6,1,5,-3,2,-8,7]
[3,1,6,4,5,2,8,7]=>[-4,-3,1,5,-6,2,-8,7]
[2,3,6,4,5,1,8,7]=>[3,-2,4,5,-6,1,-8,7]
[5,4,3,6,1,2,8,7]=>[-4,-5,3,6,1,2,-8,7]
[2,1,4,6,5,3,8,7]=>[-2,1,5,-4,-6,3,-8,7]
[2,1,6,3,5,4,8,7]=>[-2,-5,1,3,-6,4,-8,7]
[5,6,3,2,1,4,8,7]=>[2,-6,-5,-3,1,4,-8,7]
[3,6,2,4,5,1,8,7]=>[-2,6,4,5,-3,1,-8,7]
[2,6,1,4,5,3,8,7]=>[-2,1,4,5,-6,3,-8,7]
[6,1,2,4,5,3,8,7]=>[1,2,4,5,-6,3,-8,7]
[6,7,2,4,5,8,3,1]=>[7,4,5,8,3,-2,-6,1]
[8,7,2,4,5,1,3,6]=>[8,2,4,7,5,1,3,6]
[8,5,7,4,1,6,3,2]=>[6,3,-7,-4,1,-8,-5,2]
[5,1,7,4,8,6,3,2]=>[-6,1,-4,3,-8,-5,-7,2]
[2,5,7,4,8,6,3,1]=>[4,6,-2,3,-8,-5,-7,1]
[7,6,1,4,5,8,3,2]=>[4,1,5,8,3,-6,-7,2]
[5,6,3,7,1,8,4,2]=>[8,-3,4,-7,1,-6,-5,2]
[2,1,6,7,5,8,4,3]=>[-2,1,8,-5,4,-7,-6,3]
[2,1,8,7,5,3,4,6]=>[-2,-7,-8,-5,1,3,4,6]
[5,8,3,7,1,2,4,6]=>[5,3,1,8,2,7,4,6]
[3,8,7,4,5,2,1,6]=>[-4,-3,5,-7,-8,2,1,6]
[5,8,7,4,2,6,3,1]=>[-6,2,-4,-7,3,-8,-5,1]
[2,8,7,4,1,6,3,5]=>[-4,-7,6,-2,-8,1,3,5]
[8,1,7,4,2,6,3,5]=>[-4,-7,6,1,-8,2,3,5]
[8,1,4,2,5,6,7,3]=>[4,5,1,2,6,7,-8,3]
[2,8,4,1,5,6,7,3]=>[4,5,-2,1,6,7,-8,3]
[4,8,1,2,5,6,7,3]=>[5,1,2,8,6,7,-4,3]
[3,8,4,2,5,6,7,1]=>[4,2,-8,5,6,7,-3,1]
[7,8,5,4,2,6,1,3]=>[-4,-8,-7,-5,2,6,1,3]
[6,8,3,5,2,1,7,4]=>[3,7,-5,2,-8,1,-6,4]
[2,1,8,5,3,6,7,4]=>[-2,-6,1,-8,3,7,-5,4]
[2,1,5,3,8,6,7,4]=>[-2,1,-6,-5,3,7,-8,4]
[6,5,3,2,8,1,7,4]=>[-2,-3,-8,-5,7,1,-6,4]
[7,5,2,4,8,6,1,3]=>[5,-8,2,4,-7,6,1,3]
[3,4,2,8,5,6,7,1]=>[2,-4,-8,5,6,7,-3,1]
[2,4,1,8,5,6,7,3]=>[5,-4,-2,1,6,7,-8,3]
[4,1,2,8,5,6,7,3]=>[5,-4,1,2,6,7,-8,3]
[8,4,2,1,5,6,7,3]=>[5,-2,-8,1,6,7,-4,3]
[8,3,4,1,5,6,7,2]=>[3,4,5,1,6,7,-8,2]
[4,3,1,8,5,6,7,2]=>[-5,-3,-8,1,6,7,-4,2]
[3,1,4,8,5,6,7,2]=>[-4,-3,1,5,6,7,-8,2]
[2,3,4,8,5,6,7,1]=>[3,-2,4,5,6,7,-8,1]
[7,3,5,4,8,6,1,2]=>[5,3,-8,4,-7,6,1,2]
[6,4,3,5,8,1,7,2]=>[-5,-3,8,-6,7,1,-4,2]
[2,1,4,5,8,6,7,3]=>[-2,1,5,-4,6,7,-8,3]
[2,1,7,6,5,8,3,4]=>[-2,-5,-6,-7,1,8,3,4]
[5,7,3,6,1,8,2,4]=>[-7,-3,6,8,-5,1,2,4]
[2,7,6,4,5,8,1,3]=>[-6,-7,-2,4,5,8,1,3]
[7,1,6,4,5,8,2,3]=>[-6,-7,1,4,5,8,2,3]
[3,7,5,4,8,6,2,1]=>[6,-4,-3,2,-5,-8,-7,1]
[5,7,1,4,8,6,2,3]=>[1,8,-5,4,-7,6,2,3]
[8,7,5,4,1,6,2,3]=>[-4,-7,-8,6,-5,1,2,3]
[8,6,3,5,1,2,7,4]=>[6,5,3,7,1,2,-8,4]
[5,6,3,1,8,2,7,4]=>[-3,7,-8,1,-6,2,-5,4]
[4,6,3,5,8,2,7,1]=>[-3,5,8,-6,2,7,-4,1]
[7,5,3,6,2,8,1,4]=>[6,-3,-7,-5,2,8,1,4]
[4,1,3,2,6,8,7,5]=>[3,1,-4,2,7,-6,-8,5]
[2,4,3,1,6,8,7,5]=>[3,-2,-4,1,7,-6,-8,5]
[2,1,4,3,6,8,7,5]=>[-2,1,-4,3,7,-6,-8,5]
[2,1,4,3,8,5,7,6]=>[-2,1,-4,-7,3,5,-8,6]
[2,4,3,1,8,5,7,6]=>[3,-2,-4,-7,1,5,-8,6]
[4,1,3,2,8,5,7,6]=>[3,1,-4,-7,2,5,-8,6]
[7,5,3,8,2,4,1,6]=>[8,-7,-5,2,4,-3,1,6]
[5,6,3,8,4,2,7,1]=>[-3,4,2,-8,-6,7,-5,1]
[4,6,3,8,1,2,7,5]=>[8,-4,3,1,7,2,-6,5]
[8,6,3,1,4,2,7,5]=>[-4,-7,-8,1,-3,2,-6,5]
[8,7,1,4,3,6,2,5]=>[4,-7,3,-8,1,6,2,5]
[3,7,8,4,1,6,2,5]=>[-4,8,-7,6,1,-3,2,5]
[5,7,8,4,3,6,2,1]=>[3,-8,6,-4,2,-7,-5,1]
[7,1,8,4,5,3,2,6]=>[5,-4,1,-8,-7,3,2,6]
[2,7,8,4,5,3,1,6]=>[-2,4,5,-8,-7,3,1,6]
[5,7,3,8,1,4,2,6]=>[-7,-3,4,8,1,-5,2,6]
[2,1,7,8,5,4,3,6]=>[-2,1,4,-8,-7,-5,3,6]
[2,1,5,8,4,6,7,3]=>[-2,1,-4,8,6,7,-5,3]
[6,5,3,8,4,1,7,2]=>[-4,-8,7,-3,-5,1,-6,2]
[7,5,8,4,3,6,1,2]=>[8,4,-7,-5,3,6,1,2]
[2,4,8,3,5,6,7,1]=>[3,-2,5,8,6,7,-4,1]
[4,1,8,3,5,6,7,2]=>[1,-8,3,5,6,7,-4,2]
[3,4,8,1,5,6,7,2]=>[5,-4,1,8,6,7,-3,2]
[8,4,1,3,5,6,7,2]=>[8,1,3,5,6,7,-4,2]
[8,3,1,2,5,6,7,4]=>[3,1,5,2,6,7,-8,4]
[3,1,8,2,5,6,7,4]=>[1,-3,5,2,6,7,-8,4]
[2,3,8,1,5,6,7,4]=>[3,-2,1,8,6,7,-5,4]
[4,3,8,2,5,6,7,1]=>[-2,-3,5,8,6,7,-4,1]
[7,3,8,4,2,6,1,5]=>[-4,-8,-3,-7,2,6,1,5]
[6,4,3,8,2,1,7,5]=>[7,-3,2,-4,-8,1,-6,5]
[2,1,4,8,3,6,7,5]=>[-2,1,-4,3,6,7,-8,5]
[2,1,8,3,4,6,7,5]=>[6,-2,1,3,4,7,-8,5]
[6,8,3,2,4,1,7,5]=>[-7,-3,2,4,-8,1,-6,5]
[7,8,2,4,3,6,1,5]=>[2,8,-4,-7,3,6,1,5]
[4,8,2,3,5,6,7,1]=>[2,3,5,8,6,7,-4,1]
[3,8,2,1,5,6,7,4]=>[2,5,-3,1,6,7,-8,4]
[2,8,1,3,5,6,7,4]=>[-2,1,3,8,6,7,-5,4]
[8,1,2,3,5,6,7,4]=>[1,2,3,8,6,7,-5,4]
[8,6,4,2,1,3,5,7]=>[-8,-6,-4,-2,1,3,5,7]
[8,6,1,3,4,2,5,7]=>[1,6,-8,3,4,2,5,7]
[8,6,3,4,2,1,5,7]=>[-3,4,-8,-6,2,1,5,7]
[8,3,2,5,1,6,4,7]=>[-5,-2,6,-3,-8,1,4,7]
[8,5,3,6,2,4,1,7]=>[-8,-6,-5,2,4,-3,1,7]
[5,3,2,7,4,1,8,6]=>[-2,-3,4,-8,-5,1,-7,6]
[7,5,3,8,2,4,6,1]=>[-2,-7,-5,8,4,6,-3,1]
[7,2,4,5,8,3,6,1]=>[4,5,-2,8,3,6,-7,1]
[2,4,5,3,7,1,8,6]=>[5,3,-2,8,-4,1,-7,6]
[8,2,4,5,6,3,1,7]=>[5,8,6,3,-2,-4,1,7]
[8,2,4,5,6,1,3,7]=>[-2,4,5,8,6,1,3,7]
[8,1,2,4,5,6,3,7]=>[1,2,5,8,6,-4,3,7]
[8,3,1,5,6,2,4,7]=>[5,8,1,-3,6,2,4,7]
[8,2,5,1,3,6,4,7]=>[5,2,6,1,-8,3,4,7]
[8,5,6,2,1,4,3,7]=>[2,-6,-5,4,-8,1,3,7]
[8,5,3,6,4,1,2,7]=>[-8,-6,3,-5,4,1,2,7]
[8,4,1,5,6,3,2,7]=>[6,-5,1,-8,3,-4,2,7]
[8,1,4,5,6,3,2,7]=>[1,5,6,-8,3,-4,2,7]
[8,4,5,6,3,2,1,7]=>[6,3,2,-8,-5,-4,1,7]
[4,5,3,7,2,1,8,6]=>[8,-3,2,-5,-4,1,-7,6]
[7,4,5,8,3,2,6,1]=>[3,8,2,-5,-7,6,-4,1]
[4,3,6,7,2,8,5,1]=>[-7,8,2,-3,5,-4,-6,1]
[4,3,6,7,2,8,1,5]=>[6,2,7,-3,-4,8,1,5]
[1,4,3,6,7,2,8,5]=>[1,-3,7,8,-4,2,-6,5]
[4,5,3,7,1,8,2,6]=>[-3,7,-5,8,1,-4,2,6]
[5,3,4,7,1,2,8,6]=>[5,3,4,8,1,2,-7,6]
[5,2,7,1,4,3,8,6]=>[-8,-2,4,1,-5,3,-7,6]
[7,5,8,2,1,4,6,3]=>[-8,-5,4,2,1,6,-7,3]
[7,5,3,8,4,1,6,2]=>[-4,-8,6,-3,-7,1,-5,2]
[7,4,1,5,8,3,6,2]=>[-8,-7,1,-5,3,6,-4,2]
[7,4,5,8,3,6,1,2]=>[4,-7,5,8,3,6,1,2]
[4,3,6,7,8,1,5,2]=>[-6,-3,7,8,5,1,-4,2]
[1,6,4,7,8,3,5,2]=>[1,-7,-6,8,3,5,-4,2]
[6,4,7,8,3,5,2,1]=>[-8,-7,3,5,2,-6,-4,1]
[3,5,6,7,8,4,2,1]=>[7,8,4,2,-6,-3,-5,1]
[1,3,5,6,7,8,4,2]=>[1,6,7,8,4,-3,-5,2]
[3,5,6,7,8,4,1,2]=>[3,6,7,8,-5,4,1,2]
[3,1,5,6,7,8,4,2]=>[-6,1,7,8,4,-3,-5,2]
[4,6,1,7,8,3,5,2]=>[7,8,1,-6,3,5,-4,2]
[3,6,7,1,4,8,5,2]=>[-7,8,4,1,5,-3,-6,2]
[6,2,4,1,7,8,5,3]=>[2,8,-4,1,5,-7,-6,3]
[2,6,7,1,4,8,3,5]=>[-2,4,7,-6,1,8,3,5]
[4,3,6,7,8,1,2,5]=>[-4,3,1,6,7,8,2,5]
[1,5,3,6,7,8,2,4]=>[1,-5,-3,6,7,8,2,4]
[1,3,5,6,7,8,2,4]=>[1,-3,5,6,7,8,2,4]
[3,5,6,7,8,2,1,4]=>[2,6,7,-5,8,-3,1,4]
[3,5,6,7,8,2,4,1]=>[-5,6,7,8,2,4,-3,1]
[2,3,5,6,7,8,4,1]=>[3,6,7,8,4,-2,-5,1]
[2,3,5,6,7,8,1,4]=>[3,-2,5,6,7,8,1,4]
[2,1,5,6,7,8,3,4]=>[-2,-5,1,6,7,8,3,4]
[1,2,3,5,6,7,8,4]=>[1,2,3,6,7,8,-5,4]
[1,4,2,6,7,8,3,5]=>[-6,1,2,-4,7,8,3,5]
[3,1,2,6,7,4,8,5]=>[3,1,2,8,-7,4,-6,5]
[2,1,6,3,4,7,8,5]=>[-2,-7,1,3,4,8,-6,5]
[5,2,7,1,3,8,4,6]=>[7,-2,1,8,3,-5,4,6]
[5,3,1,7,8,2,4,6]=>[-3,7,-5,1,2,8,4,6]
[4,1,5,2,7,8,3,6]=>[7,1,-5,2,-4,8,3,6]
[4,5,2,7,8,1,3,6]=>[-5,-4,2,1,7,8,3,6]
[2,4,1,6,7,3,8,5]=>[7,-2,1,8,-4,3,-6,5]
[4,2,6,7,8,3,1,5]=>[-2,3,7,-6,8,-4,1,5]
[4,2,6,7,8,3,5,1]=>[2,7,-6,8,3,5,-4,1]
[3,6,2,7,4,8,5,1]=>[2,-8,4,-3,5,-7,-6,1]
[3,6,2,7,4,8,1,5]=>[-7,2,4,-6,-3,8,1,5]
[3,2,1,6,4,7,8,5]=>[-2,-3,1,-7,4,8,-6,5]
[3,7,4,2,1,5,8,6]=>[2,-4,-8,-3,1,5,-7,6]
[1,7,3,4,2,5,8,6]=>[-3,1,-8,4,2,5,-7,6]
[4,7,2,1,3,5,8,6]=>[8,-4,2,1,3,5,-7,6]
[7,8,4,2,1,3,6,5]=>[-6,-8,-4,2,1,3,-7,5]
[7,8,1,3,4,2,6,5]=>[1,3,6,-8,4,2,-7,5]
[7,8,3,4,2,1,6,5]=>[3,4,-6,-8,2,1,-7,5]
[7,5,3,8,2,6,1,4]=>[8,-7,-3,-5,2,6,1,4]
[6,3,2,7,1,8,5,4]=>[-2,-3,5,-8,1,-7,-6,4]
[3,6,2,7,1,8,5,4]=>[2,-8,5,-3,1,-7,-6,4]
[6,7,3,8,2,5,4,1]=>[-3,-8,5,2,4,-7,-6,1]
[6,4,7,8,5,2,3,1]=>[-4,8,5,-7,2,3,-6,1]
[2,6,4,7,8,1,5,3]=>[7,-4,-2,8,5,1,-6,3]
[4,6,2,7,8,1,5,3]=>[-7,2,-6,8,5,1,-4,3]
[7,4,5,8,6,2,1,3]=>[2,5,-4,-8,-7,6,1,3]
[7,4,1,5,8,6,2,3]=>[-8,5,-4,1,-7,6,2,3]
[7,5,3,8,6,1,2,4]=>[-8,5,-7,3,1,6,2,4]
[7,5,8,2,1,6,3,4]=>[2,-8,-7,6,-5,1,3,4]
[6,2,7,1,3,8,5,4]=>[-8,-2,5,1,3,-7,-6,4]
[6,3,1,7,8,2,5,4]=>[8,-3,-7,1,5,2,-6,4]
[4,6,1,7,8,5,2,3]=>[7,8,-4,1,-6,5,2,3]
[5,1,2,6,7,8,4,3]=>[7,1,2,8,4,-6,-5,3]
[5,2,6,7,8,4,1,3]=>[-6,-2,7,8,-5,4,1,3]
[2,1,5,6,7,8,4,3]=>[-2,1,7,8,4,-6,-5,3]
[5,2,6,7,8,4,3,1]=>[-2,8,4,3,-7,-6,-5,1]
[2,5,6,7,8,4,3,1]=>[7,8,4,3,-2,-6,-5,1]
[2,5,6,7,8,4,1,3]=>[-2,6,7,8,-5,4,1,3]
[1,2,5,6,7,8,4,3]=>[1,2,7,8,4,-6,-5,3]
[1,5,2,6,7,8,4,3]=>[1,-7,2,8,4,-6,-5,3]
[1,6,4,7,8,5,2,3]=>[-4,-7,1,8,-6,5,2,3]
[2,6,7,1,3,8,5,4]=>[-2,8,5,1,3,-7,-6,4]
[6,7,8,2,1,5,4,3]=>[2,-5,-8,4,1,-7,-6,3]
[6,7,3,8,5,1,4,2]=>[-3,-8,5,-7,4,1,-6,2]
[6,4,7,8,5,3,1,2]=>[-4,8,5,-7,-6,3,1,2]
[5,6,1,7,8,4,3,2]=>[4,-8,1,3,-7,-6,-5,2]
[5,1,6,7,8,4,3,2]=>[-8,1,4,3,-7,-6,-5,2]
[1,5,6,7,8,4,3,2]=>[1,8,4,3,-7,-6,-5,2]
[5,1,3,2,6,4,8,7]=>[3,1,-6,2,-5,4,-8,7]
[6,1,3,2,5,4,8,7]=>[3,-5,1,2,-6,4,-8,7]
[7,1,3,2,5,4,8,6]=>[3,-5,1,2,-8,4,-7,6]
[8,1,3,2,5,4,7,6]=>[3,-5,1,-7,2,4,-8,6]
[8,1,4,2,5,3,7,6]=>[5,-4,1,-7,2,3,-8,6]
[7,1,4,2,5,3,8,6]=>[5,-4,1,2,-8,3,-7,6]
[6,1,4,2,5,3,8,7]=>[5,-4,1,2,-6,3,-8,7]
[5,1,4,2,6,3,8,7]=>[6,1,-4,2,-5,3,-8,7]
[3,1,6,2,5,4,8,7]=>[5,1,-3,2,-6,4,-8,7]
[4,1,6,2,5,3,8,7]=>[5,1,-6,2,-4,3,-8,7]
[6,2,5,1,4,3,8,7]=>[-5,2,4,1,-6,3,-8,7]
[5,2,6,1,4,3,8,7]=>[-6,-2,4,1,-5,3,-8,7]
[5,2,8,1,4,3,7,6]=>[7,-2,4,1,-5,3,-8,6]
[6,2,8,1,4,3,7,5]=>[7,-2,4,1,-8,3,-6,5]
[6,2,7,1,4,3,8,5]=>[-8,-2,4,1,-7,3,-6,5]
[7,2,6,1,4,3,8,5]=>[-8,2,4,1,-6,3,-7,5]
[7,2,5,1,4,3,8,6]=>[-5,2,4,1,-8,3,-7,6]
[4,1,7,2,5,3,8,6]=>[5,1,-8,2,-4,3,-7,6]
[3,1,7,2,5,4,8,6]=>[5,1,-3,2,-8,4,-7,6]
[2,1,7,3,5,4,8,6]=>[-2,-5,1,3,-8,4,-7,6]
[2,1,8,3,5,4,7,6]=>[-2,-5,1,-7,3,4,-8,6]
[3,1,8,2,5,4,7,6]=>[5,1,-3,-7,2,4,-8,6]
[4,1,8,2,5,3,7,6]=>[5,-7,1,2,-4,3,-8,6]
[8,2,5,1,4,3,7,6]=>[-5,2,4,-7,1,3,-8,6]
[8,2,6,1,4,3,7,5]=>[-7,2,4,-6,1,3,-8,5]
[7,1,4,3,8,2,6,5]=>[3,1,-8,-4,6,2,-7,5]
[8,1,4,3,7,2,6,5]=>[3,-4,-7,1,6,2,-8,5]
[8,1,5,3,7,2,6,4]=>[3,-7,-5,1,6,2,-8,4]
[7,1,5,3,8,2,6,4]=>[3,1,-8,-7,6,2,-5,4]
[8,2,6,1,5,3,7,4]=>[-5,2,7,-6,1,3,-8,4]
[5,1,8,2,6,3,7,4]=>[7,-6,1,2,-8,3,-5,4]
[4,1,8,2,6,3,7,5]=>[7,-6,1,2,-4,3,-8,5]
[3,1,8,2,6,4,7,5]=>[7,1,-3,-6,2,4,-8,5]
[2,1,8,3,6,4,7,5]=>[-2,-7,1,-6,3,4,-8,5]
[2,1,7,3,6,4,8,5]=>[-2,-8,1,3,-6,4,-7,5]
[3,1,7,2,6,4,8,5]=>[8,1,-3,2,-6,4,-7,5]
[4,1,7,2,6,3,8,5]=>[8,1,-6,2,-4,3,-7,5]
[5,1,7,2,6,3,8,4]=>[8,1,-6,2,-7,3,-5,4]
[7,2,6,1,5,3,8,4]=>[-5,2,8,1,-6,3,-7,4]
[6,2,7,1,5,3,8,4]=>[-5,-2,8,1,-7,3,-6,4]
[6,2,8,1,5,3,7,4]=>[5,-2,7,1,-8,3,-6,4]
[8,1,5,2,6,3,7,4]=>[7,-6,1,-5,2,3,-8,4]
[7,1,5,2,6,3,8,4]=>[8,-6,1,2,-5,3,-7,4]
[6,1,5,2,7,3,8,4]=>[8,1,-7,2,-5,3,-6,4]
[5,1,4,2,7,3,8,6]=>[8,1,-4,2,-5,3,-7,6]
[6,1,4,2,7,3,8,5]=>[8,1,-4,2,-7,3,-6,5]
[7,1,4,2,6,3,8,5]=>[8,-4,1,2,-6,3,-7,5]
[8,1,4,2,6,3,7,5]=>[7,-4,1,-6,2,3,-8,5]
[8,1,3,2,6,4,7,5]=>[3,-7,1,-6,2,4,-8,5]
[7,1,3,2,6,4,8,5]=>[3,-8,1,2,-6,4,-7,5]
[6,1,3,2,7,4,8,5]=>[3,1,-8,2,-7,4,-6,5]
[5,1,3,2,7,4,8,6]=>[3,1,-8,2,-5,4,-7,6]
[4,1,3,2,7,5,8,6]=>[3,1,-4,2,-8,5,-7,6]
[3,1,4,2,8,5,7,6]=>[-4,1,-3,-7,2,5,-8,6]
[5,1,3,2,8,4,7,6]=>[3,-7,1,2,-5,4,-8,6]
[6,1,3,2,8,4,7,5]=>[3,-7,1,2,-8,4,-6,5]
[8,4,7,1,3,2,6,5]=>[4,3,6,-7,1,2,-8,5]
[7,4,8,1,3,2,6,5]=>[-4,3,6,-8,1,2,-7,5]
[7,3,8,1,4,2,6,5]=>[-8,6,4,1,-3,2,-7,5]
[8,3,7,1,4,2,6,5]=>[-3,4,6,-7,1,2,-8,5]
[6,1,4,2,8,3,7,5]=>[1,7,-4,2,-8,3,-6,5]
[5,1,4,2,8,3,7,6]=>[1,7,-4,2,-5,3,-8,6]
[4,1,5,2,8,3,7,6]=>[7,1,-5,2,-4,3,-8,6]
[3,1,5,2,8,4,7,6]=>[7,1,-3,2,-5,4,-8,6]
[2,1,5,3,8,4,7,6]=>[-2,-7,1,3,-5,4,-8,6]
[2,1,6,3,8,4,7,5]=>[-2,-7,1,3,-8,4,-6,5]
[3,1,6,2,8,4,7,5]=>[7,1,-3,2,-8,4,-6,5]
[4,1,6,2,8,3,7,5]=>[7,1,-8,2,-4,3,-6,5]
[5,1,6,2,8,3,7,4]=>[7,1,-8,2,-6,3,-5,4]
[6,1,5,2,8,3,7,4]=>[1,7,-8,2,-5,3,-6,4]
[8,3,7,1,5,2,6,4]=>[-3,7,6,-5,1,2,-8,4]
[7,3,8,1,5,2,6,4]=>[-8,5,6,1,-3,2,-7,4]
[6,2,7,3,8,1,5,4]=>[-2,-8,-7,3,5,1,-6,4]
[6,2,8,3,7,1,5,4]=>[2,-7,-8,3,5,1,-6,4]
[8,3,7,2,6,1,5,4]=>[-3,2,-7,6,5,1,-8,4]
[5,1,8,3,7,2,6,4]=>[3,-7,1,-8,6,2,-5,4]
[4,1,8,3,7,2,6,5]=>[3,-7,1,-4,6,2,-8,5]
[3,1,8,4,7,2,6,5]=>[-4,-3,-7,1,6,2,-8,5]
[2,1,8,4,7,3,6,5]=>[-2,-4,-7,1,6,3,-8,5]
[2,1,7,4,8,3,6,5]=>[-2,1,-8,-4,6,3,-7,5]
[3,1,7,4,8,2,6,5]=>[-4,1,-8,-3,6,2,-7,5]
[4,1,7,3,8,2,6,5]=>[-3,-8,1,-4,6,2,-7,5]
[5,1,7,3,8,2,6,4]=>[-3,-8,1,-7,6,2,-5,4]
[7,3,8,2,6,1,5,4]=>[-8,6,2,-3,5,1,-7,4]
[8,2,6,3,7,1,5,4]=>[-7,2,-6,3,5,1,-8,4]
[7,2,6,3,8,1,5,4]=>[2,-8,-6,3,5,1,-7,4]
[3,2,5,4,7,6,1,8]=>[-2,4,-3,6,-5,-7,1,8]
[4,5,2,3,7,6,1,8]=>[5,2,3,6,-4,-7,1,8]
[5,4,3,2,7,6,1,8]=>[-2,-3,-4,6,-5,-7,1,8]
[6,4,3,7,2,5,1,8]=>[-7,-3,-6,2,5,-4,1,8]
[7,4,3,6,5,2,1,8]=>[-5,-3,2,-6,-4,-7,1,8]
[8,4,3,6,5,1,2,7]=>[-6,-4,-8,3,5,1,2,7]
[1,4,3,6,5,8,7,2]=>[1,-3,5,-4,7,-6,-8,2]
[1,5,6,3,4,8,7,2]=>[-6,1,3,4,7,-5,-8,2]
[8,5,6,3,4,1,2,7]=>[5,8,6,3,4,1,2,7]
[7,5,6,3,4,2,1,8]=>[6,3,4,2,-5,-7,1,8]
[6,5,7,3,2,4,1,8]=>[3,-7,-5,2,4,-6,1,8]
[5,6,7,2,3,4,1,8]=>[5,6,7,3,4,-2,1,8]
[4,6,2,7,3,5,1,8]=>[7,2,3,-6,5,-4,1,8]
[3,2,6,7,4,5,1,8]=>[-2,-3,7,4,5,-6,1,8]
[3,2,7,6,5,4,1,8]=>[-2,4,-3,-5,-6,-7,1,8]
[4,7,2,6,5,3,1,8]=>[-5,2,3,-6,-4,-7,1,8]
[5,7,6,2,4,3,1,8]=>[4,-6,2,3,-5,-7,1,8]
[6,7,5,4,2,3,1,8]=>[4,-5,-7,2,3,-6,1,8]
[7,6,5,4,3,2,1,8]=>[-2,-3,-4,-5,-6,-7,1,8]
[8,6,5,4,3,1,2,7]=>[-4,-5,-8,-6,3,1,2,7]
[1,6,5,4,3,8,7,2]=>[1,-3,-4,-5,7,-6,-8,2]
[1,7,5,4,8,3,6,2]=>[1,-8,-4,-7,3,6,-5,2]
[8,7,5,4,1,3,2,6]=>[-4,-7,-5,3,-8,1,2,6]
[7,8,5,4,1,2,3,6]=>[7,8,5,1,4,2,3,6]
[6,8,5,4,2,1,3,7]=>[-4,-8,-5,-6,2,1,3,7]
[5,8,6,2,4,1,3,7]=>[5,-8,6,2,4,1,3,7]
[4,8,2,6,5,1,3,7]=>[6,-4,-8,2,5,1,3,7]
[3,2,8,6,5,1,4,7]=>[-2,-3,-8,-6,5,1,4,7]
[3,2,1,6,5,8,7,4]=>[-2,-3,1,-5,7,-6,-8,4]
[4,1,2,6,5,8,7,3]=>[5,1,2,-4,7,-6,-8,3]
[5,1,6,2,4,8,7,3]=>[4,-6,1,2,7,-5,-8,3]
[6,1,5,4,2,8,7,3]=>[7,1,-4,-5,2,-6,-8,3]
[7,1,5,4,8,2,6,3]=>[8,1,-4,-7,6,2,-5,3]
[8,1,5,4,7,6,2,3]=>[5,4,-7,1,-8,6,2,3]
[1,8,5,4,7,6,3,2]=>[1,-6,-4,3,-7,-5,-8,2]
[1,8,6,7,4,5,3,2]=>[4,-7,1,5,3,-6,-8,2]
[8,1,6,7,4,5,2,3]=>[6,-8,1,7,4,5,2,3]
[7,1,6,8,4,2,5,3]=>[1,4,-8,-6,5,2,-7,3]
[6,1,7,8,2,4,5,3]=>[7,8,1,2,4,5,-6,3]
[5,1,7,2,8,4,6,3]=>[4,-8,1,2,-7,6,-5,3]
[4,1,2,7,8,5,6,3]=>[8,1,-4,2,5,6,-7,3]
[3,2,1,7,8,5,6,4]=>[-2,-3,-8,1,5,6,-7,4]
[3,2,8,7,1,5,4,6]=>[-2,-7,-3,5,-8,1,4,6]
[4,8,2,7,1,5,3,6]=>[2,-8,7,5,1,-4,3,6]
[5,8,7,2,1,4,3,6]=>[-7,-4,-5,2,-8,1,3,6]
[6,8,7,1,2,4,3,5]=>[1,6,7,4,-8,2,3,5]
[7,8,6,1,4,2,3,5]=>[1,8,-7,6,4,2,3,5]
[8,7,6,1,4,3,2,5]=>[-6,-4,3,-7,-8,1,2,5]
[1,7,6,8,4,3,5,2]=>[-4,1,-8,-6,3,5,-7,2]
[1,6,7,8,3,4,5,2]=>[3,1,7,8,4,5,-6,2]
[8,6,7,1,3,4,2,5]=>[1,3,6,7,-8,4,2,5]
[7,6,8,1,3,2,4,5]=>[3,-7,6,8,1,2,4,5]
[6,7,8,1,2,3,4,5]=>[1,2,3,6,7,8,4,5]
[5,7,8,2,1,3,4,6]=>[7,-5,2,1,3,8,4,6]
[4,7,2,8,1,3,5,6]=>[-4,7,2,1,3,8,5,6]
[3,2,7,8,1,4,5,6]=>[-2,-3,1,4,7,8,5,6]
[3,2,6,8,4,1,5,7]=>[-2,4,-6,8,-3,1,5,7]
[4,6,2,8,3,1,5,7]=>[8,2,-6,3,-4,1,5,7]
[5,6,8,2,3,1,4,7]=>[2,6,-5,8,3,1,4,7]
[6,5,8,3,2,1,4,7]=>[-8,-3,-5,-6,2,1,4,7]
[7,5,8,3,1,2,4,6]=>[7,5,3,8,1,2,4,6]
[8,5,7,3,1,4,2,6]=>[-3,7,-5,4,-8,1,2,6]
[1,5,7,3,8,4,6,2]=>[-8,1,3,4,-7,6,-5,2]
[1,4,3,7,8,5,6,2]=>[1,-3,-4,8,5,6,-7,2]
[8,4,3,7,1,5,2,6]=>[-8,7,-3,5,1,-4,2,6]
[7,4,3,8,1,2,5,6]=>[7,-4,3,1,2,8,5,6]
[6,4,3,8,2,1,5,7]=>[-3,8,2,-6,-4,1,5,7]
[5,4,3,2,8,1,6,7]=>[-2,-3,-4,-5,1,8,6,7]
[4,5,2,3,8,1,6,7]=>[5,2,3,-4,1,8,6,7]
[3,2,5,4,8,1,6,7]=>[-2,4,-3,-5,1,8,6,7]
[3,2,5,4,1,8,7,6]=>[-2,4,-3,-5,1,-7,-8,6]
[4,5,2,3,1,8,7,6]=>[5,2,3,-4,1,-7,-8,6]
[5,4,3,2,1,8,7,6]=>[-2,-3,-4,-5,1,-7,-8,6]
[6,4,3,1,2,8,7,5]=>[-4,-7,3,1,2,-6,-8,5]
[7,4,3,1,8,2,6,5]=>[6,-3,-4,-8,1,2,-7,5]
[8,4,3,1,7,6,2,5]=>[6,-7,-3,1,-8,-4,2,5]
[1,4,3,8,7,6,5,2]=>[1,-3,5,-4,-6,-7,-8,2]
[1,5,8,3,7,6,4,2]=>[1,-6,3,4,-7,-5,-8,2]
[8,5,1,3,7,6,2,4]=>[3,5,-7,1,-8,6,2,4]
[7,5,1,3,8,2,6,4]=>[-8,3,-5,1,6,2,-7,4]
[6,5,1,3,2,8,7,4]=>[-7,3,1,-5,2,-6,-8,4]
[5,6,1,2,3,8,7,4]=>[1,6,7,2,3,-5,-8,4]
[4,6,2,1,3,8,7,5]=>[-7,-4,2,1,3,-6,-8,5]
[3,2,6,1,4,8,7,5]=>[-2,-3,7,1,4,-6,-8,5]
[3,2,7,1,8,4,6,5]=>[-2,-3,6,-8,1,4,-7,5]
[4,7,2,1,8,3,6,5]=>[-6,-8,2,1,-4,3,-7,5]
[5,7,1,2,8,3,6,4]=>[1,8,6,2,-7,3,-5,4]
[6,7,1,8,2,3,5,4]=>[7,8,5,1,2,3,-6,4]
[7,6,1,8,3,2,5,4]=>[-5,-3,-8,-6,1,2,-7,4]
[8,6,1,7,3,5,2,4]=>[7,-8,3,-6,1,5,2,4]
[1,6,8,7,3,5,4,2]=>[-5,1,-7,3,4,-6,-8,2]
[1,7,8,6,5,3,4,2]=>[-5,1,-6,-8,3,4,-7,2]
[8,7,1,6,5,3,2,4]=>[5,3,-6,-7,-8,1,2,4]
[7,8,1,6,5,2,3,4]=>[-8,1,-7,6,2,5,3,4]
[6,8,1,7,2,5,3,4]=>[1,-8,7,2,-6,5,3,4]
[5,8,1,2,7,6,3,4]=>[1,7,2,-5,-8,6,3,4]
[4,8,2,1,7,6,3,5]=>[6,-7,2,1,-8,-4,3,5]
[3,2,8,1,7,6,4,5]=>[-2,-3,1,-7,-8,6,4,5]
[3,2,1,8,7,6,5,4]=>[-2,-3,1,-5,-6,-7,-8,4]
[4,1,2,8,7,6,5,3]=>[5,1,2,-4,-6,-7,-8,3]
[5,1,8,2,7,6,4,3]=>[4,1,-6,2,-7,-5,-8,3]
[6,1,8,7,2,5,4,3]=>[4,-5,-7,1,2,-6,-8,3]
[7,1,8,6,5,2,4,3]=>[4,-5,-6,-8,1,2,-7,3]
[8,1,7,6,5,4,2,3]=>[1,-5,-6,-7,-8,4,2,3]
[1,8,7,6,5,4,3,2]=>[1,-3,-4,-5,-6,-7,-8,2]
[5,4,2,3,7,6,1,8]=>[-4,2,3,6,-5,-7,1,8]
[6,4,2,7,3,5,1,8]=>[2,-7,-4,3,5,-6,1,8]
[7,4,2,6,3,5,1,8]=>[-6,2,3,-7,5,-4,1,8]
[8,4,2,6,3,1,5,7]=>[-6,-8,-2,3,-4,1,5,7]
[1,4,2,6,3,8,5,7]=>[-8,1,2,-4,3,-6,5,7]
[1,5,6,2,3,8,4,7]=>[-6,1,2,8,3,-5,4,7]
[8,5,6,2,3,1,4,7]=>[2,5,-8,6,3,1,4,7]
[7,5,6,2,3,4,1,8]=>[7,5,6,3,4,-2,1,8]
[6,5,7,2,3,4,1,8]=>[2,5,7,3,4,-6,1,8]
[3,2,7,6,4,5,1,8]=>[-2,-3,-6,4,5,-7,1,8]
[4,7,2,6,3,5,1,8]=>[2,6,3,-7,5,-4,1,8]
[5,7,6,2,3,4,1,8]=>[5,2,6,3,4,-7,1,8]
[6,7,5,2,3,4,1,8]=>[7,2,5,3,4,-6,1,8]
[7,6,5,2,3,4,1,8]=>[-6,2,5,3,4,-7,1,8]
[8,6,5,2,3,1,4,7]=>[-6,5,-8,2,3,1,4,7]
[1,6,5,2,3,8,4,7]=>[8,-5,1,2,3,-6,4,7]
[1,7,5,2,8,3,4,6]=>[8,-5,-7,1,2,3,4,6]
[8,7,5,2,1,3,4,6]=>[-8,7,5,-2,1,3,4,6]
[7,8,5,2,1,3,4,6]=>[-7,8,5,2,1,3,4,6]
[6,8,5,2,3,1,4,7]=>[5,8,2,-6,3,1,4,7]
[5,8,6,2,3,1,4,7]=>[5,6,-8,2,3,1,4,7]
[4,8,2,6,3,1,5,7]=>[6,-8,2,3,-4,1,5,7]
[3,2,8,6,4,1,5,7]=>[-2,4,-8,-6,-3,1,5,7]
[3,2,1,6,4,8,5,7]=>[-2,-3,-8,1,4,-6,5,7]
[4,1,2,6,3,8,5,7]=>[1,8,2,-4,3,-6,5,7]
[5,1,6,2,3,8,4,7]=>[-6,8,1,2,3,-5,4,7]
[6,1,5,2,3,8,4,7]=>[1,-5,2,8,3,-6,4,7]
[7,1,5,2,8,3,4,6]=>[1,-7,-5,8,2,3,4,6]
[8,1,5,2,7,3,4,6]=>[5,1,-8,7,2,3,4,6]
[1,8,5,2,7,3,4,6]=>[-8,7,1,-5,2,3,4,6]
[1,8,6,7,2,3,4,5]=>[1,8,6,2,3,7,4,5]
[8,1,6,7,2,3,4,5]=>[1,8,2,3,6,7,4,5]
[7,1,6,8,2,3,4,5]=>[7,1,2,3,6,8,4,5]
[6,1,7,8,2,3,4,5]=>[1,6,7,2,3,8,4,5]
[5,1,7,2,8,3,4,6]=>[7,8,1,-5,2,3,4,6]
[4,1,2,7,8,3,5,6]=>[1,2,7,-4,3,8,5,6]
[3,2,1,7,8,4,5,6]=>[-2,-7,-3,1,4,8,5,6]
[3,2,8,7,1,4,5,6]=>[-8,-2,-3,1,4,7,5,6]
[4,8,2,7,1,3,5,6]=>[-4,2,8,1,3,7,5,6]
[5,8,7,2,1,3,4,6]=>[-8,-5,2,7,1,3,4,6]
[6,8,7,1,2,3,4,5]=>[1,2,8,6,3,7,4,5]
[7,8,6,1,2,3,4,5]=>[1,2,7,8,3,6,4,5]
[8,7,6,1,2,3,4,5]=>[1,8,2,7,3,6,4,5]
[1,7,6,8,2,3,4,5]=>[7,1,6,2,3,8,4,5]
[1,6,7,8,2,3,4,5]=>[1,6,2,3,7,8,4,5]
[8,6,7,1,2,3,4,5]=>[1,2,3,8,6,7,4,5]
[7,6,8,1,2,3,4,5]=>[1,2,7,3,6,8,4,5]
[6,5,8,2,3,1,4,7]=>[5,2,-6,8,3,1,4,7]
[7,5,8,2,1,3,4,6]=>[-7,5,2,8,1,3,4,6]
[8,5,7,2,1,3,4,6]=>[-8,-5,2,1,3,7,4,6]
[1,5,7,2,8,3,4,6]=>[7,1,-5,8,2,3,4,6]
[1,4,2,7,8,3,5,6]=>[7,1,2,-4,3,8,5,6]
[8,4,2,7,1,3,5,6]=>[-4,8,-2,1,3,7,5,6]
[7,4,2,8,1,3,5,6]=>[7,-4,-2,1,3,8,5,6]
[6,4,2,8,3,1,5,7]=>[8,-2,3,-6,-4,1,5,7]
[5,4,2,3,8,1,6,7]=>[-4,2,3,-5,1,8,6,7]
[3,2,5,4,1,8,6,7]=>[-2,4,-3,-5,-8,1,6,7]
[4,5,2,3,1,8,6,7]=>[5,2,3,-4,-8,1,6,7]
[5,4,2,3,1,8,6,7]=>[-4,2,3,-5,-8,1,6,7]
[6,4,2,1,3,8,5,7]=>[-8,-4,-2,1,3,-6,5,7]
[7,4,2,1,8,3,5,6]=>[8,-2,-7,-4,1,3,5,6]
[8,4,2,1,7,3,5,6]=>[-8,7,-2,1,-4,3,5,6]
[1,4,2,8,7,3,5,6]=>[7,1,-8,2,-4,3,5,6]
[1,5,8,2,7,3,4,6]=>[8,1,2,-5,3,7,4,6]
[8,5,1,2,7,3,4,6]=>[1,-8,5,7,2,3,4,6]
[7,5,1,2,8,3,4,6]=>[5,-7,1,8,2,3,4,6]
[6,5,1,2,3,8,4,7]=>[5,1,2,8,3,-6,4,7]
[5,6,1,2,3,8,4,7]=>[1,6,2,8,3,-5,4,7]
[4,6,2,1,3,8,5,7]=>[8,-4,2,1,3,-6,5,7]
[3,2,6,1,4,8,5,7]=>[-2,-3,1,8,4,-6,5,7]
[3,2,7,1,8,4,5,6]=>[-2,-7,-3,8,1,4,5,6]
[4,7,2,1,8,3,5,6]=>[-7,8,2,1,-4,3,5,6]
[5,7,1,2,8,3,4,6]=>[1,-5,7,8,2,3,4,6]
[6,7,1,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]
[7,6,1,8,2,3,4,5]=>[7,1,6,8,2,3,4,5]
[8,6,1,7,2,3,4,5]=>[6,1,8,7,2,3,4,5]
[1,6,8,7,2,3,4,5]=>[8,6,1,2,3,7,4,5]
[1,7,8,6,2,3,4,5]=>[7,8,1,2,3,6,4,5]
[8,7,1,6,2,3,4,5]=>[-8,1,2,7,3,6,4,5]
[7,8,1,6,2,3,4,5]=>[7,1,2,8,3,6,4,5]
[6,8,1,7,2,3,4,5]=>[-6,1,2,8,3,7,4,5]
[5,8,1,2,7,3,4,6]=>[1,2,8,-5,3,7,4,6]
[4,8,2,1,7,3,5,6]=>[8,7,2,1,-4,3,5,6]
[3,2,8,1,7,4,5,6]=>[-2,-3,-8,1,4,7,5,6]
[3,2,1,8,7,4,5,6]=>[-2,-7,-8,-3,1,4,5,6]
[4,1,2,8,7,3,5,6]=>[1,2,-8,7,-4,3,5,6]
[5,1,8,2,7,3,4,6]=>[-8,1,-5,7,2,3,4,6]
[6,1,8,7,2,3,4,5]=>[8,6,1,7,2,3,4,5]
[7,1,8,6,2,3,4,5]=>[7,8,1,6,2,3,4,5]
[8,1,7,6,2,3,4,5]=>[-8,7,1,2,3,6,4,5]
[1,8,7,6,2,3,4,5]=>[-8,7,1,6,2,3,4,5]
[2,4,6,8,1,3,5,7]=>[-2,4,1,6,3,8,5,7]
[3,1,4,6,8,2,5,7]=>[-4,1,-3,6,2,8,5,7]
[4,3,2,6,8,1,5,7]=>[-2,-3,-4,6,1,8,5,7]
[3,2,5,1,6,8,4,7]=>[-2,6,-3,1,-5,8,4,7]
[3,6,2,5,4,8,1,7]=>[-5,2,4,-3,-6,8,1,7]
[3,5,2,4,7,1,8,6]=>[-5,2,4,8,-3,1,-7,6]
[3,5,8,2,4,7,6,1]=>[-5,2,7,4,6,-3,-8,1]
[4,2,5,8,3,7,6,1]=>[-2,7,-5,3,6,-4,-8,1]
[4,2,6,5,3,8,1,7]=>[-2,3,-5,-4,-6,8,1,7]
[5,4,2,1,6,8,3,7]=>[-2,-6,-4,1,-5,8,3,7]
[4,1,5,2,6,8,3,7]=>[-6,1,-5,2,-4,8,3,7]
[5,3,1,6,8,2,4,7]=>[6,-3,-5,1,2,8,4,7]
[5,6,2,8,1,3,4,7]=>[-5,6,2,1,3,8,4,7]
[6,5,2,4,8,1,3,7]=>[5,-6,2,4,1,8,3,7]
[6,3,5,1,4,8,2,7]=>[-3,5,4,1,-6,8,2,7]
[4,6,1,5,3,8,2,7]=>[-5,3,1,-6,-4,8,2,7]
[5,1,6,4,3,8,2,7]=>[-3,1,-4,-6,-5,8,2,7]
[6,5,4,3,2,8,1,7]=>[-2,-3,-4,-5,-6,8,1,7]
[5,4,3,2,7,1,8,6]=>[-2,-3,-4,8,-5,1,-7,6]
[5,4,3,8,2,7,6,1]=>[-7,-3,-4,2,6,-5,-8,1]
[4,3,6,2,8,7,5,1]=>[-7,2,-3,5,-4,-6,-8,1]
[4,3,7,6,2,1,8,5]=>[-8,2,-3,-4,-6,1,-7,5]
[6,4,3,1,7,2,8,5]=>[-8,-3,-4,1,-7,2,-6,5]
[7,5,4,3,1,8,2,6]=>[8,-3,-4,-5,-7,1,2,6]
[1,4,7,5,8,3,2,6]=>[1,-5,8,3,-7,-4,2,6]
[7,1,3,5,8,4,2,6]=>[1,3,4,8,-7,-5,2,6]
[7,2,5,8,4,1,3,6]=>[-5,-7,2,8,4,1,3,6]
[2,8,5,7,4,6,1,3]=>[-5,-8,-2,7,4,6,1,3]
[3,5,8,7,1,4,6,2]=>[-5,-3,7,1,4,6,-8,2]
[1,4,5,8,7,3,6,2]=>[1,7,-5,-4,3,6,-8,2]
[1,5,4,8,7,3,6,2]=>[1,-7,-4,-5,3,6,-8,2]
[6,4,3,8,1,7,5,2]=>[-7,-3,-4,5,1,-8,-6,2]
[4,3,7,1,8,6,5,2]=>[-6,5,-3,1,-4,-8,-7,2]
[4,8,3,7,6,5,2,1]=>[-3,5,2,-6,-4,-7,-8,1]
[5,3,8,7,6,4,2,1]=>[-4,2,-3,-6,-5,-7,-8,1]
[7,5,3,1,8,6,4,2]=>[-4,-3,-6,1,-5,-8,-7,2]
[1,8,6,5,3,7,4,2]=>[1,-3,-7,-5,4,-8,-6,2]
[1,5,8,6,3,7,4,2]=>[1,3,-7,-6,4,-8,-5,2]
[4,6,1,8,7,3,5,2]=>[7,3,1,-6,-8,5,-4,2]
[6,8,7,3,1,4,5,2]=>[-7,-6,3,4,1,5,-8,2]
[6,2,8,7,4,5,1,3]=>[-7,-6,-8,2,4,5,1,3]
[7,6,2,8,4,1,3,5]=>[-6,8,-7,-2,4,1,3,5]
[7,3,1,6,8,4,2,5]=>[-6,8,1,4,-7,-3,2,5]
[1,7,6,4,8,3,2,5]=>[-8,1,-4,-6,-7,3,2,5]
[5,7,1,6,3,2,8,4]=>[-8,3,1,-6,-7,2,-5,4]
[6,1,7,5,3,2,8,4]=>[-3,1,-8,-5,-7,2,-6,4]
[7,6,5,3,2,1,8,4]=>[-2,-3,-8,-5,-6,1,-7,4]
[6,5,3,2,8,7,4,1]=>[-2,-3,-7,4,-5,-6,-8,1]
[5,2,6,3,8,7,4,1]=>[-2,3,-7,4,-6,-5,-8,1]
[5,2,7,6,3,1,8,4]=>[-2,3,-8,-6,-5,1,-7,4]
[6,5,2,1,7,3,8,4]=>[-2,-8,-7,1,-5,3,-6,4]
[6,1,7,4,2,8,3,5]=>[8,1,-7,-4,-6,2,3,5]
[3,6,1,7,2,8,4,5]=>[7,8,1,-3,-6,2,4,5]
[6,7,2,1,8,3,4,5]=>[-7,8,-6,2,1,3,4,5]
[5,7,3,1,8,2,4,6]=>[-7,-3,-5,8,1,2,4,6]
[4,7,1,5,2,8,3,6]=>[-5,1,-7,8,2,-4,3,6]
[5,2,7,4,1,8,3,6]=>[-2,-4,-7,8,1,-5,3,6]
[4,7,2,6,3,1,8,5]=>[-8,2,3,-6,-4,1,-7,5]
[2,4,8,6,3,7,5,1]=>[7,3,-2,-6,5,-4,-8,1]
[3,8,6,2,4,7,5,1]=>[-7,-6,2,4,5,-3,-8,1]
[7,3,6,2,4,1,8,5]=>[-3,8,2,4,-6,1,-7,5]
[3,6,7,2,1,4,8,5]=>[2,-7,8,-3,1,4,-6,5]
[4,3,7,8,2,1,5,6]=>[2,7,-3,8,-4,1,5,6]
[3,4,7,1,8,2,5,6]=>[-4,1,7,8,-3,2,5,6]
[7,8,2,4,1,3,5,6]=>[7,2,4,1,8,3,5,6]
[8,7,2,4,6,1,3,5]=>[8,2,4,7,1,6,3,5]
[8,3,7,1,4,6,2,5]=>[3,1,7,-8,4,6,2,5]
[4,8,3,7,2,6,1,5]=>[-8,3,7,2,-4,6,1,5]
[3,8,2,5,7,1,6,4]=>[-2,8,7,-3,6,1,-5,4]
[8,3,6,2,7,1,5,4]=>[-3,7,-6,2,5,1,-8,4]
[7,8,3,6,2,1,5,4]=>[3,2,-6,-8,5,1,-7,4]
[8,7,3,6,2,5,4,1]=>[3,-6,5,2,4,-7,-8,1]
[4,7,8,2,1,6,5,3]=>[2,-6,5,-8,1,-4,-7,3]
[4,2,6,8,1,7,5,3]=>[-2,7,-8,5,1,-4,-6,3]
[5,4,8,2,7,1,6,3]=>[7,-8,2,-4,6,1,-5,3]
[4,8,1,5,7,2,6,3]=>[5,1,7,-8,6,2,-4,3]
[5,8,3,7,1,6,2,4]=>[-8,3,7,1,-5,6,2,4]
[5,8,7,2,6,1,3,4]=>[-8,5,7,2,1,6,3,4]
[8,6,2,7,5,1,3,4]=>[-8,7,-6,-2,1,5,3,4]
[3,6,8,1,7,5,2,4]=>[8,7,1,5,-6,-3,2,4]
[5,1,6,8,2,7,4,3]=>[-7,1,-8,4,2,-6,-5,3]
[6,5,2,8,1,7,4,3]=>[-2,-7,-8,4,1,-5,-6,3]
[5,2,7,1,8,6,4,3]=>[-2,4,-6,1,-8,-5,-7,3]
[5,8,2,7,6,4,3,1]=>[-4,2,3,-6,-7,-5,-8,1]
[6,2,8,7,5,4,3,1]=>[-2,3,-4,-5,-7,-6,-8,1]
[7,6,2,1,8,5,4,3]=>[-2,-4,-5,1,-8,-6,-7,3]
[6,1,7,2,8,5,4,3]=>[-4,1,-5,2,-8,-7,-6,3]
[7,5,1,8,2,6,4,3]=>[4,-6,-8,1,2,-5,-7,3]
[4,7,1,8,6,2,5,3]=>[6,5,1,-8,-7,2,-4,3]
[7,8,3,1,6,5,2,4]=>[-6,-3,1,-8,-7,5,2,4]
[7,8,6,5,2,1,3,4]=>[-6,-8,-7,5,2,1,3,4]
[8,7,6,5,2,4,1,3]=>[-6,-7,5,-8,2,4,1,3]
[8,7,6,3,5,1,4,2]=>[-6,3,-7,5,4,1,-8,2]
[8,7,4,6,1,5,3,2]=>[6,-4,5,3,1,-7,-8,2]
[8,5,7,1,6,4,3,2]=>[-6,4,3,1,-7,-5,-8,2]
[6,8,1,7,5,4,3,2]=>[-4,3,1,-5,-7,-8,-6,2]
[7,1,8,6,5,4,3,2]=>[-3,1,-4,-5,-6,-8,-7,2]
[3,4,2,6,8,1,5,7]=>[2,-4,-3,6,1,8,5,7]
[5,3,6,2,8,1,4,7]=>[6,2,-5,-3,1,8,4,7]
[5,3,6,2,4,8,1,7]=>[-6,-5,2,4,-3,8,1,7]
[5,7,3,8,2,4,1,6]=>[-7,-3,2,8,4,-5,1,6]
[5,7,3,8,2,4,6,1]=>[3,-7,2,8,4,6,-5,1]
[7,4,2,5,8,3,6,1]=>[-2,-7,8,-5,3,6,-4,1]
[7,4,2,5,8,3,1,6]=>[-2,-5,3,-7,8,-4,1,6]
[4,5,2,6,3,8,1,7]=>[2,-6,3,-5,-4,8,1,7]
[4,5,2,1,6,8,3,7]=>[2,-6,-5,1,-4,8,3,7]
[5,6,2,4,8,1,3,7]=>[2,-5,6,4,1,8,3,7]
[3,5,6,1,4,8,2,7]=>[-5,6,4,1,-3,8,2,7]
[4,1,5,6,3,8,2,7]=>[-6,1,3,-5,-4,8,2,7]
[4,5,1,6,3,8,2,7]=>[3,-6,1,-5,-4,8,2,7]
[4,5,6,3,2,8,1,7]=>[3,2,-6,-5,-4,8,1,7]
[7,4,5,3,8,2,1,6]=>[3,-5,8,2,-7,-4,1,6]
[7,4,5,3,8,2,6,1]=>[3,8,-5,-7,2,6,-4,1]
[6,7,4,8,3,2,5,1]=>[-8,3,-4,-7,2,5,-6,1]
[6,7,4,8,3,2,1,5]=>[-8,3,2,-7,-6,-4,1,5]
[6,7,4,1,8,3,2,5]=>[-8,3,-4,-7,-6,1,2,5]
[7,4,5,3,1,8,2,6]=>[3,-5,8,-4,-7,1,2,6]
[4,7,1,5,8,3,2,6]=>[-5,1,8,-7,3,-4,2,6]
[5,3,7,8,1,4,2,6]=>[7,-5,4,8,1,-3,2,6]
[7,5,8,2,4,1,3,6]=>[5,-7,2,4,8,1,3,6]
[7,5,8,2,4,6,1,3]=>[2,-7,5,8,4,6,1,3]
[7,3,5,8,1,4,6,2]=>[3,5,8,1,4,6,-7,2]
[4,5,1,7,8,3,6,2]=>[-7,8,1,-5,3,6,-4,2]
[6,7,4,3,8,1,5,2]=>[8,-3,-7,-6,5,1,-4,2]
[6,7,4,8,3,1,5,2]=>[-8,3,-4,-7,5,1,-6,2]
[6,7,4,8,3,5,2,1]=>[-8,-4,3,5,2,-7,-6,1]
[5,6,7,3,8,4,2,1]=>[3,4,-8,2,-7,-6,-5,1]
[5,6,7,3,1,8,4,2]=>[3,4,-8,-7,1,-6,-5,2]
[5,6,1,7,3,8,4,2]=>[3,-8,1,-7,4,-6,-5,2]
[5,1,6,7,3,8,4,2]=>[-8,1,3,-7,4,-6,-5,2]
[6,4,7,1,8,3,5,2]=>[8,-7,3,-4,1,5,-6,2]
[6,7,8,3,1,4,5,2]=>[-3,-7,8,1,4,5,-6,2]
[6,7,2,8,4,5,1,3]=>[2,-7,-6,8,4,5,1,3]
[6,7,2,8,4,1,3,5]=>[-7,8,-6,2,4,1,3,5]
[6,1,7,4,8,3,2,5]=>[8,1,-4,-7,-6,3,2,5]
[5,1,6,7,3,2,8,4]=>[-8,1,3,-7,-6,2,-5,4]
[5,6,1,7,3,2,8,4]=>[3,-8,1,-7,-6,2,-5,4]
[5,6,7,3,2,1,8,4]=>[3,2,-8,-7,-6,1,-5,4]
[5,6,7,3,2,8,4,1]=>[3,2,-8,-7,4,-6,-5,1]
[5,6,2,7,3,8,4,1]=>[2,-8,3,-7,4,-6,-5,1]
[5,6,2,7,3,1,8,4]=>[2,-8,3,-7,-6,1,-5,4]
[5,6,2,1,7,3,8,4]=>[2,-8,-7,1,-6,3,-5,4]
[7,4,2,5,1,8,3,6]=>[-2,-7,-5,8,1,-4,3,6]
[6,7,4,2,1,8,3,5]=>[-8,2,-7,-4,-6,1,3,5]
[6,7,4,2,8,3,1,5]=>[-8,2,-4,-7,-6,3,1,5]
[6,7,4,2,8,3,5,1]=>[-8,-4,2,-7,3,5,-6,1]
[3,6,7,2,8,4,5,1]=>[-7,8,2,-3,4,5,-6,1]
[3,6,7,2,8,4,1,5]=>[2,-7,8,4,-6,-3,1,5]
[3,6,7,2,1,8,4,5]=>[2,-7,8,-3,-6,1,4,5]
[5,7,3,8,2,1,4,6]=>[-7,-3,8,-5,2,1,4,6]
[3,4,7,8,2,1,5,6]=>[2,-4,7,8,-3,1,5,6]
[7,8,2,4,6,1,3,5]=>[-2,4,7,8,1,6,3,5]
[3,7,8,1,4,6,2,5]=>[7,1,4,8,-3,6,2,5]
[3,4,7,8,2,6,1,5]=>[-4,7,2,8,-3,6,1,5]
[5,7,3,8,2,6,1,4]=>[-7,-3,8,-5,2,6,1,4]
[3,6,7,2,8,5,1,4]=>[2,-7,8,-3,-6,5,1,4]
[3,6,7,8,5,2,1,4]=>[2,8,-7,5,-6,-3,1,4]
[3,6,7,8,5,2,4,1]=>[-7,8,5,-3,2,4,-6,1]
[6,4,7,8,2,5,3,1]=>[-8,-7,5,2,3,-6,-4,1]
[6,4,7,8,2,1,5,3]=>[8,2,5,-7,-6,1,-4,3]
[4,1,5,7,8,2,6,3]=>[-7,1,-5,8,6,2,-4,3]
[5,3,7,8,1,6,2,4]=>[7,-3,1,8,-5,6,2,4]
[7,5,8,2,6,1,3,4]=>[-5,7,8,2,1,6,3,4]
[6,7,2,8,5,1,3,4]=>[-7,8,-6,2,1,5,3,4]
[6,4,1,7,8,2,5,3]=>[8,-7,-4,1,5,2,-6,3]
[5,1,6,2,7,8,4,3]=>[-8,1,-7,2,4,-6,-5,3]
[5,6,2,1,7,8,4,3]=>[2,-8,-7,1,4,-6,-5,3]
[5,6,2,7,1,8,4,3]=>[2,-8,4,-7,1,-6,-5,3]
[5,6,2,7,8,4,3,1]=>[2,-8,4,3,-7,-6,-5,1]
[5,6,7,2,8,4,3,1]=>[4,2,-8,3,-7,-6,-5,1]
[5,6,7,2,1,8,4,3]=>[4,2,-8,-7,1,-6,-5,3]
[5,6,1,7,2,8,4,3]=>[4,-8,1,-7,2,-6,-5,3]
[5,1,6,7,2,8,4,3]=>[-8,1,4,-7,2,-6,-5,3]
[6,4,7,1,8,2,5,3]=>[8,-7,5,-4,1,2,-6,3]
[3,6,7,1,8,5,2,4]=>[7,8,5,1,-6,-3,2,4]
[6,7,8,5,2,1,3,4]=>[-8,-7,-6,2,1,5,3,4]
[6,7,8,5,2,4,1,3]=>[7,8,5,-6,2,4,1,3]
[6,7,8,3,5,1,4,2]=>[7,8,-3,5,4,1,-6,2]
[4,6,7,8,1,5,3,2]=>[-7,8,5,3,1,-6,-4,2]
[5,6,7,1,8,4,3,2]=>[4,3,-8,1,-7,-6,-5,2]
[4,6,3,5,1,2,8,7]=>[-4,6,3,5,1,2,-8,7]
[6,5,3,8,2,7,1,4]=>[8,-5,-3,-6,2,7,1,4]
[6,8,1,4,5,7,3,2]=>[1,8,5,7,3,-4,-6,2]
[3,7,8,4,5,1,2,6]=>[7,3,4,8,5,1,2,6]
[2,1,6,8,5,7,3,4]=>[-2,-8,-6,1,5,7,3,4]
[5,6,3,8,1,7,2,4]=>[-3,-6,8,1,-5,7,2,4]
[3,7,6,4,5,8,2,1]=>[-4,-3,5,8,2,-6,-7,1]
[5,1,8,4,7,6,2,3]=>[1,-7,-5,4,-8,6,2,3]
[2,5,8,4,7,6,1,3]=>[-2,-5,7,4,-8,6,1,3]
[3,8,7,4,2,6,1,5]=>[2,-7,-8,-4,-3,6,1,5]
[4,8,3,6,2,1,7,5]=>[-3,7,-6,2,-4,1,-8,5]
[5,8,3,2,6,1,7,4]=>[-3,-6,2,7,-8,1,-5,4]
[4,5,3,8,6,2,7,1]=>[6,-3,2,-5,-8,7,-4,1]
[3,5,8,4,7,6,2,1]=>[4,-7,6,2,-3,-5,-8,1]
[5,8,2,4,7,6,1,3]=>[-5,2,7,4,-8,6,1,3]
[2,3,4,1,6,5,8,7]=>[3,4,-2,1,-6,5,-8,7]
[6,3,5,1,2,4,8,7]=>[3,6,1,5,2,4,-8,7]
[4,3,5,6,1,2,8,7]=>[-4,3,5,6,1,2,-8,7]
[8,3,7,5,2,1,4,6]=>[2,-7,-8,5,-3,1,4,6]
[6,3,7,5,1,8,4,2]=>[-8,4,-3,-5,1,-7,-6,2]
[6,5,2,7,1,8,3,4]=>[-7,-5,-2,8,-6,1,3,4]
[8,5,2,7,4,1,3,6]=>[-8,7,-2,-5,4,1,3,6]
[2,6,1,5,4,3,8,7]=>[-2,4,1,-5,-6,3,-8,7]
[2,1,4,5,6,3,8,7]=>[-2,1,5,6,-4,3,-8,7]
[6,4,3,5,1,2,8,7]=>[-6,-4,3,5,1,2,-8,7]
[5,3,1,4,6,2,8,7]=>[-4,-5,1,6,-3,2,-8,7]
[3,1,4,6,5,2,8,7]=>[-4,1,5,-3,-6,2,-8,7]
[2,3,4,5,6,1,8,7]=>[3,4,5,6,-2,1,-8,7]
[8,3,4,5,7,1,2,6]=>[3,4,5,8,1,7,2,6]
[6,3,4,5,7,8,1,2]=>[3,6,4,5,7,8,1,2]
[5,7,4,6,2,8,3,1]=>[-6,8,2,-4,3,-7,-5,1]
[2,8,4,6,1,7,3,5]=>[-2,-4,6,1,-8,7,3,5]
[8,1,4,7,2,6,3,5]=>[1,-4,2,7,-8,6,3,5]
[3,4,7,8,5,2,1,6]=>[5,8,2,-4,-7,-3,1,6]
[5,7,2,4,8,1,3,6]=>[2,-5,4,7,1,8,3,6]
[7,8,3,5,1,2,4,6]=>[3,1,7,8,5,2,4,6]
[2,1,8,5,7,3,4,6]=>[-5,-8,-2,1,3,7,4,6]
[2,1,6,5,7,8,3,4]=>[-2,-5,-6,1,7,8,3,4]
[8,6,3,5,1,7,4,2]=>[-3,7,-5,4,1,-6,-8,2]
[5,8,2,4,6,7,3,1]=>[2,8,6,7,3,-4,-5,1]
[3,4,8,6,5,7,1,2]=>[3,4,-8,-6,5,7,1,2]
[7,5,4,8,1,6,3,2]=>[-6,-8,-4,3,1,-7,-5,2]
[5,1,4,6,8,2,7,3]=>[6,1,8,-4,7,2,-5,3]
[2,5,4,6,7,1,8,3]=>[6,-2,7,8,-4,1,-5,3]
[2,4,6,3,7,5,8,1]=>[7,3,-2,5,-4,8,-6,1]
[4,1,6,3,8,5,7,2]=>[3,1,-8,5,-4,7,-6,2]
[3,7,4,2,8,6,5,1]=>[2,-4,-3,5,-6,-8,-7,1]
[7,4,1,3,5,8,6,2]=>[4,3,1,5,6,-8,-7,2]
[6,5,8,4,1,7,3,2]=>[7,3,-4,-8,1,-5,-6,2]
[8,5,3,7,4,1,6,2]=>[-4,-7,-3,6,-8,1,-5,2]
[2,1,4,8,3,7,6,5]=>[-2,1,-4,6,3,-7,-8,5]
[7,4,3,8,2,1,6,5]=>[6,-3,2,-8,-4,1,-7,5]
[6,3,7,4,1,8,2,5]=>[-4,-3,-7,8,-6,1,2,5]
[8,3,1,2,5,7,6,4]=>[3,5,1,2,6,-7,-8,4]
[3,1,8,2,7,6,5,4]=>[5,1,-3,2,-6,-7,-8,4]
[2,3,8,1,6,7,5,4]=>[3,-2,1,7,5,-6,-8,4]
[4,3,7,2,6,8,5,1]=>[-6,-3,2,8,5,-4,-7,1]
[4,7,2,3,8,5,6,1]=>[2,8,3,-4,5,6,-7,1]
[3,8,2,1,7,5,6,4]=>[5,2,-3,-7,1,6,-8,4]
[2,8,1,3,6,5,7,4]=>[-2,1,5,-6,3,7,-8,4]
[2,7,8,5,4,3,1,6]=>[4,3,-2,-8,-7,-5,1,6]
[8,7,1,6,3,4,2,5]=>[1,-7,6,3,-8,4,2,5]
[3,8,6,7,2,4,1,5]=>[-8,6,2,7,4,-3,1,5]
[5,3,8,7,4,2,6,1]=>[-4,-3,2,-7,-8,6,-5,1]
[4,3,8,7,2,1,6,5]=>[6,2,-3,-7,-4,1,-8,5]
[8,3,6,1,4,2,7,5]=>[-3,7,4,-6,1,2,-8,5]
[7,3,5,8,2,4,1,6]=>[-3,5,2,8,-7,4,1,6]
[2,3,4,1,8,5,7,6]=>[3,4,-2,-7,1,5,-8,6]
[2,1,4,3,6,7,8,5]=>[-2,1,-4,3,7,8,-6,5]
[4,1,3,2,6,7,8,5]=>[3,1,-4,2,7,8,-6,5]
[8,3,5,6,2,7,1,4]=>[2,8,-5,6,-3,7,1,4]
[7,3,6,5,1,2,8,4]=>[5,3,-6,8,1,2,-7,4]
[5,3,6,1,8,7,2,4]=>[6,-3,7,-5,-8,1,2,4]
[4,3,5,6,7,8,1,2]=>[-4,3,5,6,7,8,1,2]
[5,6,2,8,7,4,1,3]=>[-7,-6,2,-5,-8,4,1,3]
[7,8,5,6,1,4,2,3]=>[1,8,5,6,-7,4,2,3]
[2,8,6,5,4,7,1,3]=>[-2,-5,-8,-6,4,7,1,3]
[8,1,6,4,5,7,2,3]=>[6,-8,1,4,5,7,2,3]
[5,8,3,6,1,7,2,4]=>[-8,3,6,7,-5,1,2,4]
[2,1,8,6,5,7,3,4]=>[-2,-5,-8,-6,1,7,3,4]
[2,1,7,5,3,6,8,4]=>[-2,1,-6,-7,3,8,-5,4]
[6,7,3,5,2,1,8,4]=>[3,8,2,-5,-7,1,-6,4]
[8,7,5,4,2,6,1,3]=>[-4,-7,-8,-5,-2,6,1,3]
[7,1,4,2,5,6,8,3]=>[-4,5,1,2,6,8,-7,3]
[2,7,4,1,6,5,8,3]=>[5,-4,-2,1,-6,8,-7,3]
[4,6,1,2,8,7,3,5]=>[1,6,7,2,-8,-4,3,5]
[3,4,6,1,7,8,2,5]=>[-4,6,7,1,-3,8,2,5]
[3,4,2,5,7,8,6,1]=>[2,-4,5,8,6,-3,-7,1]
[2,4,1,5,8,7,6,3]=>[5,-2,1,6,-4,-7,-8,3]
[4,1,2,5,8,6,7,3]=>[5,1,2,-4,6,7,-8,3]
[6,4,2,1,5,8,7,3]=>[-2,-5,-6,1,7,-4,-8,3]
[8,5,2,4,6,1,7,3]=>[4,2,6,-5,7,1,-8,3]
[7,5,3,2,6,8,1,4]=>[-2,-7,-5,-3,6,8,1,4]
[2,1,5,3,6,8,7,4]=>[-2,1,-6,3,7,-5,-8,4]
[2,1,4,5,6,7,8,3]=>[-2,1,5,6,7,8,-4,3]
[8,4,3,5,6,7,1,2]=>[-4,8,3,5,6,7,1,2]
[7,3,5,4,6,1,8,2]=>[4,-3,6,8,-5,1,-7,2]
[6,3,4,1,5,7,8,2]=>[4,-3,5,1,7,8,-6,2]
[4,3,1,5,7,6,8,2]=>[-5,-3,1,6,-4,8,-7,2]
[3,1,4,5,6,8,7,2]=>[-4,1,5,6,7,-3,-8,2]
[2,3,4,5,6,7,8,1]=>[3,4,5,6,7,8,-2,1]
[3,1,2,6,5,8,7,4]=>[3,1,2,-5,7,-6,-8,4]
[3,1,6,2,4,8,7,5]=>[7,1,-3,2,4,-6,-8,5]
[3,1,5,2,4,8,7,6]=>[5,1,-3,2,4,-7,-8,6]
[3,1,5,2,8,4,6,7]=>[1,8,-3,2,-5,4,6,7]
[3,1,5,2,7,4,6,8]=>[7,1,-3,2,-5,4,6,8]
[4,5,1,2,7,3,6,8]=>[5,1,7,2,-4,3,6,8]
[4,5,1,2,8,3,6,7]=>[5,1,2,8,-4,3,6,7]
[4,5,1,2,3,8,7,6]=>[1,4,5,2,3,-7,-8,6]
[4,6,1,2,3,8,7,5]=>[1,4,7,2,3,-6,-8,5]
[1,6,5,3,4,8,7,2]=>[-3,-5,1,4,7,-6,-8,2]
[6,1,5,2,4,8,7,3]=>[1,-5,4,2,7,-6,-8,3]
[6,5,1,2,3,8,7,4]=>[5,1,7,2,3,-6,-8,4]
[6,4,1,2,3,8,7,5]=>[7,1,4,2,3,-6,-8,5]
[5,4,1,2,3,8,7,6]=>[5,1,4,2,3,-7,-8,6]
[5,4,1,2,8,3,6,7]=>[-4,1,2,8,-5,3,6,7]
[5,4,1,2,7,3,6,8]=>[-4,1,7,2,-5,3,6,8]
[6,4,1,7,2,3,5,8]=>[-6,-4,7,1,2,3,5,8]
[6,4,1,8,2,3,5,7]=>[-6,-4,1,8,2,3,5,7]
[7,4,1,8,2,3,5,6]=>[7,-4,1,8,2,3,5,6]
[7,4,1,2,8,3,6,5]=>[-4,1,6,-8,2,3,-7,5]
[7,5,1,2,8,3,6,4]=>[-8,1,6,-5,2,3,-7,4]
[7,1,5,2,8,4,6,3]=>[1,4,-8,-5,2,6,-7,3]
[1,7,5,3,8,4,6,2]=>[-3,1,-8,-5,4,6,-7,2]
[1,8,5,3,7,4,6,2]=>[-3,-7,1,4,-8,6,-5,2]
[8,1,5,2,7,4,6,3]=>[-7,4,1,-5,2,6,-8,3]
[8,5,1,2,7,3,6,4]=>[7,1,6,-5,2,3,-8,4]
[8,4,1,2,7,3,6,5]=>[4,1,6,-7,2,3,-8,5]
[8,4,1,7,2,3,5,6]=>[-4,8,1,7,2,3,5,6]
[8,4,1,6,2,3,5,7]=>[-4,8,6,1,2,3,5,7]
[7,4,1,6,2,3,5,8]=>[7,-4,6,1,2,3,5,8]
[7,5,6,1,2,3,4,8]=>[1,2,7,5,6,3,4,8]
[8,5,6,1,2,3,4,7]=>[1,2,5,8,6,3,4,7]
[8,5,7,1,2,3,4,6]=>[1,2,5,8,3,7,4,6]
[8,6,1,7,2,3,5,4]=>[-8,7,5,1,2,3,-6,4]
[8,1,6,7,2,4,5,3]=>[6,1,2,7,4,5,-8,3]
[1,8,6,7,3,4,5,2]=>[6,3,1,7,4,5,-8,2]
[1,7,6,8,3,4,5,2]=>[-6,3,1,8,4,5,-7,2]
[7,1,6,8,2,4,5,3]=>[-6,1,2,8,4,5,-7,3]
[7,6,1,8,2,3,5,4]=>[-6,8,5,1,2,3,-7,4]
[7,5,8,1,2,3,4,6]=>[1,2,7,5,3,8,4,6]
[6,5,8,1,2,3,4,7]=>[1,6,2,5,3,8,4,7]
[6,5,7,1,2,3,4,8]=>[1,6,2,5,7,3,4,8]
[5,6,7,1,2,3,4,8]=>[1,2,5,6,7,3,4,8]
[5,6,8,1,2,3,4,7]=>[1,2,5,6,3,8,4,7]
[5,7,8,1,2,3,4,6]=>[1,2,5,3,7,8,4,6]
[4,7,1,2,8,3,6,5]=>[1,8,6,2,-4,3,-7,5]
[4,7,1,8,2,3,5,6]=>[-4,1,7,8,2,3,5,6]
[4,6,1,8,2,3,5,7]=>[-4,6,1,8,2,3,5,7]
[4,6,1,7,2,3,5,8]=>[-4,6,7,1,2,3,5,8]
[3,1,6,7,2,4,5,8]=>[1,6,-3,2,7,4,5,8]
[3,1,6,8,2,4,5,7]=>[1,6,-3,2,4,8,5,7]
[3,1,7,8,2,4,5,6]=>[1,-3,7,2,4,8,5,6]
[3,1,7,2,8,4,6,5]=>[6,1,-3,-8,2,4,-7,5]
[3,1,2,7,8,5,6,4]=>[3,1,-8,2,5,6,-7,4]
[1,4,3,8,7,5,6,2]=>[1,-3,-4,-7,5,6,-8,2]
[4,1,2,8,7,5,6,3]=>[5,1,-4,-7,2,6,-8,3]
[3,1,2,8,7,5,6,4]=>[3,1,-5,-7,2,6,-8,4]
[3,1,8,2,7,4,6,5]=>[1,6,-3,-7,2,4,-8,5]
[3,1,8,7,2,4,5,6]=>[-8,1,-3,7,2,4,5,6]
[3,1,8,6,2,4,5,7]=>[-8,1,6,-3,2,4,5,7]
[3,1,7,6,2,4,5,8]=>[1,-7,6,-3,2,4,5,8]
[4,7,1,6,2,3,5,8]=>[1,7,-4,2,6,3,5,8]
[4,8,1,6,2,3,5,7]=>[1,-4,8,2,6,3,5,7]
[4,8,1,7,2,3,5,6]=>[1,-4,8,2,3,7,5,6]
[4,8,1,2,7,3,6,5]=>[1,7,2,6,-4,3,-8,5]
[5,8,1,2,7,3,6,4]=>[1,7,2,6,-8,3,-5,4]
[5,1,8,2,7,4,6,3]=>[1,-7,4,2,-8,6,-5,3]
[1,5,8,3,7,4,6,2]=>[-3,1,7,4,-8,6,-5,2]
[1,6,8,7,3,4,5,2]=>[3,-6,1,7,4,5,-8,2]
[6,1,8,7,2,4,5,3]=>[7,-6,4,1,2,5,-8,3]
[6,8,1,7,2,3,5,4]=>[1,-8,7,2,5,3,-6,4]
[5,8,7,1,2,3,4,6]=>[1,5,8,2,3,7,4,6]
[5,8,6,1,2,3,4,7]=>[1,5,8,2,6,3,4,7]
[5,7,6,1,2,3,4,8]=>[1,7,5,2,6,3,4,8]
[6,7,5,1,2,3,4,8]=>[1,6,7,2,5,3,4,8]
[6,8,5,1,2,3,4,7]=>[1,6,2,8,5,3,4,7]
[7,8,5,1,2,3,4,6]=>[1,2,7,8,5,3,4,6]
[7,8,1,6,2,3,5,4]=>[-8,1,6,2,5,3,-7,4]
[7,1,8,6,2,4,5,3]=>[6,-8,4,1,2,5,-7,3]
[1,7,8,6,3,4,5,2]=>[3,-8,1,6,4,5,-7,2]
[1,8,7,6,3,4,5,2]=>[-6,-7,3,1,4,5,-8,2]
[8,1,7,6,2,4,5,3]=>[-6,-7,1,2,4,5,-8,3]
[8,7,1,6,2,3,5,4]=>[1,-7,6,2,5,3,-8,4]
[8,7,5,1,2,3,4,6]=>[1,8,2,7,5,3,4,6]
[8,6,5,1,2,3,4,7]=>[1,8,6,2,5,3,4,7]
[7,6,5,1,2,3,4,8]=>[7,1,6,2,5,3,4,8]
[4,1,2,3,6,5,8,7]=>[1,4,2,3,-6,5,-8,7]
[4,5,2,6,3,1,8,7]=>[2,-6,3,-5,-4,1,-8,7]
[6,5,2,1,4,3,8,7]=>[-4,-5,-2,1,-6,3,-8,7]
[6,5,2,7,4,8,3,1]=>[-2,-4,8,-7,3,-5,-6,1]
[8,5,2,7,4,1,6,3]=>[-4,-2,-7,6,-8,1,-5,3]
[8,3,7,5,2,1,6,4]=>[6,2,-5,-7,-3,1,-8,4]
[6,3,7,5,2,8,4,1]=>[-8,2,-3,-5,4,-7,-6,1]
[3,1,6,5,4,2,8,7]=>[-4,1,-3,-5,-6,2,-8,7]
[2,1,6,3,4,5,8,7]=>[-6,-2,1,3,4,5,-8,7]
[5,6,3,2,4,1,8,7]=>[-3,-6,2,4,-5,1,-8,7]
[3,6,2,4,1,5,8,7]=>[6,2,4,-3,1,5,-8,7]
[2,6,1,3,5,4,8,7]=>[-2,1,5,3,-6,4,-8,7]
[6,1,2,3,4,5,8,7]=>[1,2,3,6,4,5,-8,7]
[6,7,2,3,4,8,5,1]=>[7,8,3,4,5,-2,-6,1]
[8,7,2,3,4,1,6,5]=>[2,3,6,-7,4,1,-8,5]
[5,1,7,3,8,4,6,2]=>[3,-8,1,4,-7,6,-5,2]
[2,5,7,3,8,6,4,1]=>[6,3,-2,4,-8,-5,-7,1]
[7,6,1,3,5,8,4,2]=>[5,1,3,8,4,-6,-7,2]
[3,6,7,4,1,8,5,2]=>[4,5,-8,-3,1,-7,-6,2]
[5,6,3,7,4,8,1,2]=>[7,-6,3,-5,4,8,1,2]
[2,1,6,7,4,8,5,3]=>[-2,1,4,-8,5,-7,-6,3]
[2,1,8,7,4,3,6,5]=>[-2,1,-6,-7,-4,3,-8,5]
[5,8,3,7,4,2,6,1]=>[3,4,-7,2,-8,6,-5,1]
[3,8,7,4,1,2,6,5]=>[-6,-7,3,4,1,2,-8,5]
[7,8,1,3,5,2,6,4]=>[1,3,5,-8,6,2,-7,4]
[5,8,7,3,2,6,1,4]=>[-3,-7,-8,-5,2,6,1,4]
[2,8,6,3,1,5,7,4]=>[3,-5,-8,-2,1,7,-6,4]
[8,1,6,3,2,5,4,7]=>[3,-5,-6,1,-8,2,4,7]
[8,1,4,2,6,3,5,7]=>[-4,6,-8,1,2,3,5,7]
[2,8,4,1,6,3,7,5]=>[7,-4,-2,-6,1,3,-8,5]
[4,8,1,2,7,6,3,5]=>[1,7,2,6,-8,-4,3,5]
[3,8,4,2,5,7,1,6]=>[-4,-8,2,5,-3,7,1,6]
[7,8,5,4,2,1,3,6]=>[-4,-8,-7,-5,2,1,3,6]
[6,8,3,5,2,7,4,1]=>[5,7,2,-3,4,-8,-6,1]
[2,1,5,3,8,7,6,4]=>[-2,1,-6,3,-5,-7,-8,4]
[6,5,3,2,8,7,1,4]=>[-2,-5,-6,-3,-8,7,1,4]
[7,5,2,4,8,1,6,3]=>[-4,2,-5,8,6,1,-7,3]
[3,4,2,8,5,7,6,1]=>[2,-4,-3,5,6,-7,-8,1]
[2,4,1,8,7,6,5,3]=>[5,-2,1,-4,-6,-7,-8,3]
[8,4,2,1,7,5,3,6]=>[-2,-7,-5,1,-8,-4,3,6]
[8,3,4,1,6,7,2,5]=>[-3,4,1,-8,6,7,2,5]
[4,3,1,8,6,7,5,2]=>[-7,-3,-4,1,5,-6,-8,2]
[3,1,4,8,6,5,7,2]=>[-4,1,5,-3,-8,7,-6,2]
[7,1,6,5,4,8,2,3]=>[1,-5,-6,-7,4,8,2,3]
[3,7,5,6,8,4,2,1]=>[-6,8,4,2,-3,-5,-7,1]
[5,7,1,6,8,2,4,3]=>[6,1,-7,8,4,2,-5,3]
[8,6,2,5,1,7,4,3]=>[-7,2,-5,4,1,-6,-8,3]
[5,6,2,1,8,7,3,4]=>[-7,-6,2,-5,-8,1,3,4]
[4,6,2,5,8,3,7,1]=>[-5,2,8,-6,3,7,-4,1]
[7,5,2,6,3,8,1,4]=>[-6,-2,-7,-5,3,8,1,4]
[4,1,2,3,6,8,7,5]=>[1,4,2,3,7,-6,-8,5]
[2,1,4,3,8,5,6,7]=>[-2,1,-8,-4,3,5,6,7]
[2,4,3,1,8,5,6,7]=>[3,-2,-8,-4,1,5,6,7]
[7,5,2,8,3,4,6,1]=>[-8,-7,2,3,4,6,-5,1]
[5,6,2,8,4,3,1,7]=>[2,-4,-8,3,-6,-5,1,7]
[4,7,2,8,1,5,3,6]=>[8,-7,2,5,1,-4,3,6]
[8,7,2,1,4,5,6,3]=>[7,-2,4,1,5,6,-8,3]
[3,6,8,7,1,5,4,2]=>[-7,5,-3,4,1,-6,-8,2]
[5,7,8,6,3,4,1,2]=>[5,8,-7,6,3,4,1,2]
[7,1,8,5,4,3,6,2]=>[-3,1,-4,-8,-7,6,-5,2]
[2,7,8,4,5,3,6,1]=>[2,4,5,-8,3,6,-7,1]
[5,7,3,8,1,4,6,2]=>[3,-7,8,1,4,6,-5,2]
[2,1,7,8,5,4,6,3]=>[-2,1,-5,-8,4,6,-7,3]
[2,1,5,8,4,6,3,7]=>[-2,-8,1,4,6,-5,3,7]
[6,5,3,8,4,1,2,7]=>[8,-5,3,-6,4,1,2,7]
[7,5,8,4,3,6,2,1]=>[3,6,-4,-8,2,-7,-5,1]
[2,4,8,3,5,6,1,7]=>[3,-2,5,8,6,-4,1,7]
[4,1,8,3,6,5,2,7]=>[3,1,-6,5,-8,-4,2,7]
[3,4,8,1,7,2,5,6]=>[-4,1,8,-3,7,2,5,6]
[8,4,1,3,7,2,6,5]=>[4,3,-7,1,6,2,-8,5]
[8,3,1,2,4,7,5,6]=>[3,1,7,2,-8,4,5,6]
[3,1,8,2,4,7,6,5]=>[1,6,-3,2,4,-7,-8,5]
[2,3,8,1,4,6,7,5]=>[3,-2,1,4,6,7,-8,5]
[4,3,8,2,5,1,7,6]=>[7,-3,2,5,-4,1,-8,6]
[6,3,8,4,2,5,7,1]=>[-4,-8,-3,2,5,7,-6,1]
[7,4,3,8,2,5,1,6]=>[8,-7,-3,2,5,-4,1,6]
[2,1,4,8,3,5,7,6]=>[-2,1,-4,3,7,5,-8,6]
[2,1,8,3,4,5,6,7]=>[-2,8,1,3,4,5,6,7]
[7,8,3,2,4,5,6,1]=>[3,8,2,4,5,6,-7,1]
[6,8,2,4,3,5,1,7]=>[2,8,-4,3,5,-6,1,7]
[4,8,2,3,5,1,6,7]=>[2,3,5,8,-4,1,6,7]
[3,8,2,1,4,6,5,7]=>[6,2,-3,1,-8,4,5,7]
[2,8,1,3,4,5,7,6]=>[-2,1,3,4,7,5,-8,6]
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,8,6,7]
[8,6,4,3,2,1,5,7]=>[-2,-3,-8,-6,-4,1,5,7]
[8,3,5,2,1,6,4,7]=>[6,2,-5,-3,-8,1,4,7]
[8,6,3,5,2,4,1,7]=>[3,-6,5,2,-8,4,1,7]
[3,7,5,2,4,1,8,6]=>[-5,-3,2,4,-8,1,-7,6]
[8,3,7,5,2,4,6,1]=>[3,-7,5,2,4,6,-8,1]
[8,2,4,5,7,3,6,1]=>[5,8,7,-2,3,6,-4,1]
[2,4,5,7,3,1,8,6]=>[5,8,3,-2,-4,1,-7,6]
[8,2,4,6,5,3,1,7]=>[4,5,3,-2,-8,-6,1,7]
[8,2,5,4,6,1,3,7]=>[-8,-5,2,4,6,1,3,7]
[8,6,5,4,2,1,3,7]=>[-4,-5,-8,-6,-2,1,3,7]
[8,6,3,5,1,4,2,7]=>[3,-6,5,4,-8,1,2,7]
[8,6,1,4,5,3,2,7]=>[4,1,5,3,-8,-6,2,7]
[8,1,5,6,4,3,2,7]=>[1,4,3,-6,-8,-5,2,7]
[8,6,5,4,3,2,1,7]=>[-2,-3,-4,-5,-8,-6,1,7]
[5,7,4,3,2,1,8,6]=>[2,-3,-4,-8,-5,1,-7,6]
[8,5,7,4,3,2,6,1]=>[3,-4,2,-7,-8,6,-5,1]
[4,6,8,3,2,7,5,1]=>[7,2,-3,-8,5,-4,-6,1]
[4,7,6,3,2,8,1,5]=>[2,-6,-3,-7,-4,8,1,5]
[1,4,6,7,3,2,8,5]=>[1,8,3,-7,-4,2,-6,5]
[5,4,7,3,1,8,2,6]=>[-7,-3,8,-4,1,-5,2,6]
[1,7,4,5,3,2,8,6]=>[-5,1,3,-4,-8,2,-7,6]
[3,7,5,1,4,2,8,6]=>[-5,-3,4,1,-8,2,-7,6]
[5,7,4,2,1,3,8,6]=>[-4,-8,-5,2,1,3,-7,6]
[8,5,7,4,2,1,6,3]=>[6,-4,2,-7,-8,1,-5,3]
[8,3,7,5,1,4,6,2]=>[3,-7,5,4,1,6,-8,2]
[8,4,1,7,5,3,6,2]=>[-3,-7,1,-5,-8,6,-4,2]
[8,5,4,7,3,6,1,2]=>[-8,-4,-5,7,3,6,1,2]
[4,6,3,8,7,1,5,2]=>[-3,7,-6,-4,5,1,-8,2]
[1,7,4,8,6,3,5,2]=>[1,-6,-8,-4,3,5,-7,2]
[8,4,7,6,3,5,2,1]=>[-6,3,-4,5,2,-7,-8,1]
[3,5,8,7,6,4,2,1]=>[4,2,-6,-3,-5,-7,-8,1]
[1,3,5,7,8,6,4,2]=>[1,8,6,4,-3,-5,-7,2]
[3,6,5,8,7,4,1,2]=>[3,-5,7,-6,-8,4,1,2]
[3,1,5,8,6,7,4,2]=>[-6,1,-3,7,4,-5,-8,2]
[4,8,1,6,7,3,5,2]=>[6,1,-8,7,3,5,-4,2]
[3,6,4,1,8,7,5,2]=>[5,-4,-3,1,-7,-6,-8,2]
[8,2,6,1,4,7,5,3]=>[7,2,4,1,5,-6,-8,3]
[2,7,6,8,1,4,3,5]=>[-6,-2,4,8,-7,1,3,5]
[3,7,1,6,4,8,2,5]=>[6,4,1,-7,-3,8,2,5]
[4,7,3,6,8,1,2,5]=>[-4,3,7,1,6,8,2,5]
[1,7,3,5,6,8,2,4]=>[3,-7,1,5,6,8,2,4]
[1,3,6,7,5,8,2,4]=>[1,-3,7,-6,5,8,2,4]
[3,7,6,5,8,2,1,4]=>[5,8,-3,-6,-7,2,1,4]
[3,6,8,5,7,2,4,1]=>[-8,-3,5,7,2,4,-6,1]
[2,3,5,6,8,7,4,1]=>[3,6,7,4,-2,-5,-8,1]
[2,3,5,7,6,8,1,4]=>[3,-2,5,-7,6,8,1,4]
[2,4,6,1,7,3,8,5]=>[7,8,-2,1,-4,3,-6,5]
[4,2,7,6,8,3,1,5]=>[-6,-2,8,3,-7,-4,1,5]
[4,2,6,8,7,3,5,1]=>[2,7,-6,-4,3,5,-8,1]
[3,8,2,4,6,7,5,1]=>[-2,4,6,7,5,-3,-8,1]
[3,7,2,6,4,8,1,5]=>[6,2,4,-7,-3,8,1,5]
[3,2,6,1,4,7,8,5]=>[-2,-3,7,1,4,8,-6,5]
[5,3,7,2,1,8,4,6]=>[8,2,-7,-3,1,-5,4,6]
[4,7,3,2,1,5,8,6]=>[2,-8,-3,-4,1,5,-7,6]
[8,7,6,4,2,1,3,5]=>[-6,-7,-8,-4,-2,1,3,5]
[8,7,6,1,3,4,2,5]=>[7,1,6,3,-8,4,2,5]
[8,7,6,4,3,2,1,5]=>[-2,-3,-6,-7,-8,-4,1,5]
[8,5,7,3,2,1,6,4]=>[3,-6,2,-7,-8,1,-5,4]
[8,3,6,7,2,1,5,4]=>[2,7,-6,5,-3,1,-8,4]
[3,7,8,6,2,1,5,4]=>[2,-6,5,-8,-3,1,-7,4]
[8,7,6,3,5,2,4,1]=>[-6,3,-7,5,2,4,-8,1]
[2,7,4,8,1,6,5,3]=>[6,-4,-2,5,1,-8,-7,3]
[4,6,8,2,1,7,5,3]=>[2,5,-7,-8,1,-4,-6,3]
[8,5,4,7,2,6,1,3]=>[-8,-4,7,-5,2,6,1,3]
[8,4,1,5,7,2,6,3]=>[-5,7,1,-8,6,2,-4,3]
[8,5,3,7,1,6,2,4]=>[-8,7,-3,1,-5,6,2,4]
[8,5,7,2,1,3,6,4]=>[2,-7,-8,1,6,3,-5,4]
[8,2,6,7,1,3,5,4]=>[-2,1,6,7,5,3,-8,4]
[8,3,6,1,7,5,2,4]=>[-3,7,1,-6,-8,5,2,4]
[4,6,1,8,7,2,5,3]=>[7,5,1,-6,-8,2,-4,3]
[8,1,2,5,6,7,4,3]=>[1,2,6,7,4,-8,-5,3]
[8,2,6,5,7,4,1,3]=>[-5,-6,2,7,-8,4,1,3]
[2,1,7,8,5,6,4,3]=>[-2,-5,1,6,4,-8,-7,3]
[8,2,5,7,6,4,3,1]=>[6,4,3,-2,-5,-7,-8,1]
[2,6,8,7,5,4,3,1]=>[4,3,-2,-5,-7,-6,-8,1]
[2,7,6,8,5,4,1,3]=>[-2,-8,5,-6,-7,4,1,3]
[1,2,6,7,8,5,4,3]=>[1,2,5,4,-8,-7,-6,3]
[1,7,2,5,8,6,4,3]=>[-6,1,2,4,-5,-8,-7,3]
[1,7,4,8,2,6,5,3]=>[1,-6,-8,5,2,-4,-7,3]
[3,7,8,1,6,5,2,4]=>[8,1,6,5,-7,-3,2,4]
[2,7,8,6,1,3,5,4]=>[-8,-2,6,1,5,3,-7,4]
[8,7,6,5,4,2,1,3]=>[-4,-5,-6,-7,-8,-2,1,3]
[8,4,7,6,5,1,3,2]=>[4,5,-6,-7,3,1,-8,2]
[8,7,1,5,6,4,3,2]=>[6,1,4,3,-5,-7,-8,2]
[8,1,6,7,5,4,3,2]=>[1,4,3,-5,-7,-6,-8,2]
[1,7,8,6,5,4,3,2]=>[1,3,-4,-5,-6,-8,-7,2]
[6,5,3,2,1,4,8,7]=>[-2,-5,-6,-3,1,4,-8,7]
[4,6,3,5,2,1,8,7]=>[-3,5,2,-6,-4,1,-8,7]
[8,7,3,5,2,4,1,6]=>[-7,3,5,2,-8,4,1,6]
[6,8,2,4,5,7,3,1]=>[4,8,5,7,3,-2,-6,1]
[8,7,2,4,5,3,1,6]=>[2,4,5,-7,-8,3,1,6]
[3,6,1,4,5,2,8,7]=>[-6,1,4,5,-3,2,-8,7]
[8,3,7,4,5,2,1,6]=>[-7,4,5,2,-8,-3,1,6]
[6,3,8,4,5,7,2,1]=>[-3,4,5,7,2,-8,-6,1]
[5,8,7,4,3,6,2,1]=>[-3,6,-4,-7,2,-8,-5,1]
[2,8,7,4,3,6,1,5]=>[3,-7,-8,-2,-4,6,1,5]
[8,1,7,4,3,6,2,5]=>[3,-7,-4,-8,1,6,2,5]
[8,7,1,4,5,3,2,6]=>[4,1,5,-7,-8,3,2,6]
[8,7,3,5,1,4,2,6]=>[-7,3,5,4,-8,1,2,6]
[2,1,8,7,5,4,3,6]=>[-2,1,-4,-7,-8,-5,3,6]
[2,1,6,8,5,7,4,3]=>[-2,1,-5,7,4,-8,-6,3]
[6,8,3,5,1,7,4,2]=>[5,7,4,-3,1,-8,-6,2]
[5,8,7,4,3,6,1,2]=>[-7,4,-8,-5,3,6,1,2]
[5,1,8,4,7,6,3,2]=>[6,1,-4,3,-7,-5,-8,2]
[2,5,8,4,7,6,3,1]=>[4,-2,6,3,-7,-5,-8,1]
[4,3,8,1,5,6,7,2]=>[-5,-3,1,8,6,7,-4,2]
[4,8,1,3,5,6,7,2]=>[3,1,5,8,6,7,-4,2]
[5,8,7,4,1,6,3,2]=>[-6,3,-4,-7,1,-8,-5,2]
[5,8,3,6,1,4,7,2]=>[-8,3,6,4,1,7,-5,2]
[4,8,3,6,1,2,7,5]=>[-4,3,6,7,1,2,-8,5]
[3,8,7,4,1,6,2,5]=>[-4,-7,-8,6,1,-3,2,5]
[3,8,1,2,5,6,7,4]=>[3,1,2,8,6,7,-5,4]
[8,7,1,4,2,6,3,5]=>[-7,4,6,1,-8,2,3,5]
[8,6,3,1,2,4,7,5]=>[6,7,3,1,2,4,-8,5]
[8,7,3,5,1,2,4,6]=>[3,8,1,7,5,2,4,6]
[8,1,7,4,5,2,3,6]=>[-8,7,1,4,5,2,3,6]
[2,8,7,4,5,1,3,6]=>[-8,7,-2,4,5,1,3,6]
[8,7,2,4,1,6,3,5]=>[4,-7,2,1,-8,6,3,5]
[5,8,3,6,2,4,7,1]=>[-8,3,6,2,4,7,-5,1]
[8,6,3,2,1,4,7,5]=>[-2,-7,-8,-3,1,4,-6,5]
[8,7,3,5,2,1,4,6]=>[-3,-7,-8,2,5,1,4,6]
[6,8,3,5,2,7,1,4]=>[2,8,5,-6,-3,7,1,4]
[5,8,3,6,2,1,7,4]=>[-3,7,-6,2,-8,1,-5,4]
[5,8,7,4,2,6,1,3]=>[4,-7,-8,-5,2,6,1,3]
[2,6,8,4,5,7,1,3]=>[-6,-2,4,8,5,7,1,3]
[6,1,8,4,5,7,2,3]=>[8,1,-6,4,5,7,2,3]
[6,8,3,5,1,7,2,4]=>[-3,8,5,7,-6,1,2,4]
[2,1,5,8,3,6,7,4]=>[-2,1,-8,3,6,7,-5,4]
[5,8,3,6,1,2,7,4]=>[-8,3,6,7,1,2,-5,4]
[5,8,7,4,1,6,2,3]=>[-7,4,-8,6,-5,1,2,3]
[4,1,8,2,5,6,7,3]=>[1,-8,5,2,6,7,-4,3]
[2,4,8,1,5,6,7,3]=>[5,-2,1,8,6,7,-4,3]
[4,8,2,1,5,6,7,3]=>[2,5,-8,1,6,7,-4,3]
[3,4,8,2,5,6,7,1]=>[2,-4,5,8,6,7,-3,1]
[5,8,1,4,7,6,2,3]=>[1,-5,7,4,-8,6,2,3]
[5,8,3,1,6,2,7,4]=>[-3,-6,7,1,-8,2,-5,4]
[4,5,3,8,6,1,7,2]=>[6,-3,7,-5,-8,1,-4,2]
[3,5,8,4,7,6,1,2]=>[3,-5,7,4,-8,6,1,2]
[3,4,1,8,5,6,7,2]=>[5,-4,-8,1,6,7,-3,2]
[6,1,7,5,3,2,4,8]=>[-3,-5,-7,-6,1,2,4,8]
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,-7,6]
[1,2,3,6,4,8,5,7]=>[1,2,-8,3,4,-6,5,7]
[1,2,3,6,4,7,5,8]=>[1,2,3,-7,4,-6,5,8]
[1,5,2,3,4,8,6,7]=>[5,1,2,3,-8,4,6,7]
[1,3,4,5,6,7,8,2]=>[1,4,5,6,7,8,-3,2]
[8,2,1,3,4,5,6,7]=>[-2,1,3,8,4,5,6,7]
[6,5,8,1,3,2,7,4]=>[-8,3,7,1,-5,2,-6,4]
[5,6,8,2,3,1,7,4]=>[8,2,7,3,-6,1,-5,4]
[4,1,3,2,8,5,6,7]=>[3,1,-8,-4,2,5,6,7]
[3,2,1,4,8,5,6,7]=>[-2,-3,-8,1,4,5,6,7]
[1,2,3,4,8,5,6,7]=>[1,2,-8,3,4,5,6,7]
[7,3,6,5,4,2,1,8]=>[4,2,-3,-5,-6,-7,1,8]
[3,2,6,8,5,1,4,7]=>[-2,-3,-6,8,5,1,4,7]
[6,3,1,5,4,2,8,7]=>[-4,-5,1,-3,-6,2,-8,7]
[8,3,1,5,2,7,6,4]=>[-6,-7,1,-3,2,-5,-8,4]
[8,5,4,2,1,7,3,6]=>[-7,-2,-8,-4,1,-5,3,6]
[8,5,4,2,1,7,6,3]=>[-2,-6,-4,-7,1,-5,-8,3]
[6,5,4,2,1,3,8,7]=>[-4,-5,-6,-2,1,3,-8,7]
[6,5,4,2,3,1,8,7]=>[-4,-5,2,3,-6,1,-8,7]
[6,3,2,5,1,4,8,7]=>[-6,-2,-3,5,1,4,-8,7]
[6,5,4,3,1,2,8,7]=>[-4,-5,-6,3,1,2,-8,7]
[6,5,4,1,3,2,8,7]=>[-4,-5,3,1,-6,2,-8,7]
[8,5,4,1,2,7,6,3]=>[-4,-7,6,1,2,-5,-8,3]
[8,7,4,1,6,3,2,5]=>[-6,-7,-3,-8,1,-4,2,5]
[8,7,4,1,6,3,5,2]=>[-6,-7,3,1,-8,5,-4,2]
[8,7,4,1,6,5,3,2]=>[-3,-5,-6,1,-7,-4,-8,2]
[8,5,4,1,3,7,6,2]=>[-4,-7,3,1,6,-5,-8,2]
[8,5,4,3,1,7,6,2]=>[-6,-3,-4,-7,1,-5,-8,2]
[8,3,2,5,1,7,6,4]=>[-5,-2,6,-3,1,-7,-8,4]
[2,1,8,5,3,7,6,4]=>[-2,1,-6,-7,3,-5,-8,4]
[8,3,2,5,1,7,4,6]=>[-5,-2,-3,7,-8,1,4,6]
[8,5,4,3,1,7,2,6]=>[7,-3,-8,-4,1,-5,2,6]
[8,5,4,1,3,7,2,6]=>[-8,-4,3,1,-5,7,2,6]
[8,7,4,1,6,5,2,3]=>[-6,-7,5,-4,-8,1,2,3]
[8,7,4,1,6,2,5,3]=>[-6,-7,5,1,-8,2,-4,3]
[8,7,6,5,2,1,3,4]=>[-6,-7,-8,5,-2,1,3,4]
[8,7,6,5,2,1,4,3]=>[-4,-5,-6,-7,-2,1,-8,3]
[8,7,4,3,6,2,1,5]=>[6,-7,-3,-8,2,-4,1,5]
[8,3,2,7,6,4,1,5]=>[-6,-2,4,-7,-8,-3,1,5]
[2,1,8,7,6,4,3,5]=>[-2,1,-6,-7,-8,-4,3,5]
[2,1,8,7,6,4,5,3]=>[-2,-4,-6,-7,1,5,-8,3]
[8,3,2,7,6,4,5,1]=>[2,-6,-3,-7,4,5,-8,1]
[8,7,4,3,6,2,5,1]=>[-6,-7,-8,-3,2,5,-4,1]
[8,7,6,5,4,2,3,1]=>[-4,-5,-6,-7,2,3,-8,1]
[8,7,6,5,2,4,3,1]=>[-4,-5,-6,2,3,-7,-8,1]
[8,7,6,5,2,3,4,1]=>[-6,-7,2,5,3,4,-8,1]
[8,7,6,5,2,3,1,4]=>[-6,-7,5,2,-8,3,1,4]
[8,7,6,5,3,2,1,4]=>[-2,-5,-6,-7,-8,-3,1,4]
[8,7,6,5,3,2,4,1]=>[-2,-5,-6,-7,-8,4,-3,1]
[8,7,6,5,3,4,2,1]=>[-3,-5,-6,4,2,-7,-8,1]
[8,5,4,2,3,7,6,1]=>[-4,-7,2,3,6,-5,-8,1]
[8,7,4,2,6,5,3,1]=>[-2,-5,-6,3,-7,-4,-8,1]
[8,7,4,2,6,3,5,1]=>[-6,-7,2,3,-8,5,-4,1]
[8,7,4,2,6,3,1,5]=>[-6,-7,-2,-8,3,-4,1,5]
[8,3,1,7,6,4,2,5]=>[-6,-4,1,-7,-8,-3,2,5]
[8,3,1,7,6,4,5,2]=>[4,-6,-3,-7,1,5,-8,2]
[8,3,1,7,6,5,4,2]=>[-4,-5,1,-3,-6,-7,-8,2]
[8,3,1,5,4,7,6,2]=>[-4,-5,-3,1,6,-7,-8,2]
[8,3,1,5,4,7,2,6]=>[-4,-5,-3,-8,1,7,2,6]
[8,3,1,7,6,5,2,4]=>[-6,5,1,-7,-8,-3,2,4]
[8,3,1,7,6,2,5,4]=>[-6,5,1,-7,-3,2,-8,4]
[8,7,4,2,6,1,3,5]=>[-8,7,-4,-2,1,6,3,5]
[8,7,4,2,6,1,5,3]=>[-6,-7,-2,-8,5,1,-4,3]
[8,7,4,2,6,5,1,3]=>[-6,-7,-4,-2,-8,5,1,3]
[8,5,4,2,3,7,1,6]=>[-8,-4,2,3,-5,7,1,6]
[8,5,4,3,2,7,1,6]=>[-2,-3,-8,-4,-5,7,1,6]
[8,3,2,5,4,7,1,6]=>[-2,-5,-3,-8,4,7,1,6]
[2,1,8,5,4,7,3,6]=>[-2,1,-8,-4,-5,7,3,6]
[2,1,8,7,6,5,3,4]=>[-2,-5,-6,-7,-8,1,3,4]
[8,3,2,7,6,5,1,4]=>[-6,-2,-3,-7,-8,5,1,4]
[8,7,4,3,6,5,1,2]=>[-6,-7,-4,3,-8,5,1,2]
[8,7,6,5,4,3,1,2]=>[-4,-5,-6,-7,-8,3,1,2]
[8,7,6,5,3,4,1,2]=>[-6,-7,-8,5,3,4,1,2]
[8,7,6,5,3,1,4,2]=>[-4,-5,-6,-7,-8,1,-3,2]
[8,7,6,5,3,1,2,4]=>[-6,-7,-8,5,3,1,2,4]
[8,7,6,5,1,3,2,4]=>[-6,-7,5,3,-8,1,2,4]
[8,7,6,5,1,3,4,2]=>[-6,-7,5,1,3,4,-8,2]
[8,7,6,5,1,4,3,2]=>[-4,-5,-6,3,1,-7,-8,2]
[8,7,6,5,4,1,3,2]=>[-4,-5,-6,-7,3,1,-8,2]
[8,7,4,3,6,1,5,2]=>[-6,-7,-8,-3,5,1,-4,2]
[8,3,2,7,6,1,5,4]=>[-6,-2,-3,-7,5,1,-8,4]
[2,1,8,7,6,3,5,4]=>[-2,-5,-6,-7,1,3,-8,4]
[8,3,2,7,6,1,4,5]=>[7,-2,-8,-3,1,6,4,5]
[8,7,4,3,6,1,2,5]=>[-8,7,-4,3,1,6,2,5]
[8,7,6,5,4,1,2,3]=>[-6,-7,-8,5,1,4,2,3]
[8,7,6,5,1,4,2,3]=>[-6,-7,5,1,-8,4,2,3]
[8,7,6,5,1,2,4,3]=>[-6,-7,5,1,4,2,-8,3]
[2,8,4,1,6,7,5,3]=>[-4,7,-2,1,5,-6,-8,3]
[4,1,3,2,7,6,8,5]=>[3,1,-4,2,-6,8,-7,5]
[1,2,3,4,7,6,8,5]=>[1,2,3,4,-6,8,-7,5]
[8,5,3,7,1,4,2,6]=>[-8,7,-5,4,1,-3,2,6]
[3,7,6,1,4,8,2,5]=>[6,-3,4,-7,1,8,2,5]
[3,8,6,1,4,7,2,5]=>[-8,6,4,1,-3,7,2,5]
[5,1,2,3,6,7,8,4]=>[1,6,2,3,7,8,-5,4]
[8,7,1,2,3,4,5,6]=>[1,2,3,8,4,7,5,6]
[7,6,1,2,3,4,8,5]=>[1,6,2,8,3,4,-7,5]
[5,8,1,2,3,7,4,6]=>[1,2,8,3,7,-5,4,6]
[8,6,1,2,3,7,4,5]=>[1,2,6,7,-8,3,4,5]
[5,6,1,2,3,7,8,4]=>[1,6,7,2,3,8,-5,4]
[8,4,1,2,7,3,5,6]=>[4,-8,1,7,2,3,5,6]
[7,4,1,2,6,3,8,5]=>[4,8,1,2,-6,3,-7,5]
[8,7,1,2,6,3,4,5]=>[1,2,-8,7,3,6,4,5]
[5,7,1,2,6,3,8,4]=>[6,1,8,2,-7,3,-5,4]
[5,4,1,2,8,7,3,6]=>[-4,1,7,2,-8,-5,3,6]
[8,4,1,2,6,7,3,5]=>[1,8,6,2,-4,7,3,5]
[5,8,1,2,6,7,3,4]=>[1,8,-5,2,6,7,3,4]
[5,4,1,2,6,7,8,3]=>[-4,6,1,2,7,8,-5,3]
[7,3,1,8,2,4,5,6]=>[-7,-3,1,8,2,4,5,6]
[7,3,1,6,2,4,8,5]=>[-6,8,1,-3,2,4,-7,5]
[8,3,1,6,2,7,4,5]=>[-8,7,1,-3,-6,2,4,5]
[6,3,1,5,2,7,8,4]=>[-7,-5,1,-3,2,8,-6,4]
[7,4,1,6,2,3,8,5]=>[-6,8,-4,1,2,3,-7,5]
[8,7,1,5,2,3,4,6]=>[-8,1,2,7,5,3,4,6]
[6,7,1,5,2,3,8,4]=>[1,5,-7,8,2,3,-6,4]
[8,4,1,5,2,7,3,6]=>[-8,7,1,-5,2,-4,3,6]
[8,4,1,6,2,7,3,5]=>[-8,7,-6,1,2,-4,3,5]
[6,8,1,5,2,7,3,4]=>[1,8,-5,7,-6,2,3,4]
[6,4,1,5,2,7,8,3]=>[-7,-5,1,-6,2,8,-4,3]
[4,3,1,8,7,2,5,6]=>[-3,7,-8,1,-4,2,5,6]
[4,3,1,7,6,2,8,5]=>[-8,-3,1,-4,-6,2,-7,5]
[8,3,1,5,7,2,4,6]=>[5,8,1,-3,2,7,4,6]
[7,3,1,5,6,2,8,4]=>[6,-5,1,8,-3,2,-7,4]
[8,4,1,5,7,2,3,6]=>[5,8,-4,1,2,7,3,6]
[8,4,1,7,6,2,3,5]=>[7,-4,-8,6,1,2,3,5]
[7,8,1,5,6,2,3,4]=>[7,1,2,8,5,6,3,4]
[7,4,1,5,6,2,8,3]=>[6,-5,1,8,-7,2,-4,3]
[4,3,1,5,8,7,2,6]=>[-5,-3,1,-4,-8,7,2,6]
[4,3,1,8,6,7,2,5]=>[6,-3,-4,-8,1,7,2,5]
[8,3,1,5,6,7,2,4]=>[8,1,5,-3,6,7,2,4]
[8,4,1,5,6,7,2,3]=>[8,1,-4,5,6,7,2,3]
[4,3,1,5,6,7,8,2]=>[-5,-3,1,6,7,8,-4,2]
[2,8,7,1,3,4,5,6]=>[-2,8,1,3,4,7,5,6]
[2,8,5,1,3,7,4,6]=>[-5,-2,1,7,-8,3,4,6]
[2,6,8,1,3,7,4,5]=>[-2,1,8,3,-6,7,4,5]
[2,6,5,1,3,7,8,4]=>[-2,-5,7,1,3,8,-6,4]
[2,8,4,1,7,3,5,6]=>[-4,-2,-8,7,1,3,5,6]
[2,7,4,1,6,3,8,5]=>[8,-4,-2,1,-6,3,-7,5]
[2,8,5,1,7,3,4,6]=>[5,-2,-8,7,1,3,4,6]
[2,7,8,1,6,3,4,5]=>[-2,-7,1,8,3,6,4,5]
[2,7,5,1,6,3,8,4]=>[8,-6,-2,1,-5,3,-7,4]
[2,5,4,1,8,7,3,6]=>[-2,7,-4,1,-8,-5,3,6]
[2,8,4,1,6,7,3,5]=>[-4,-2,6,-8,1,7,3,5]
[2,8,5,1,6,7,3,4]=>[5,-2,6,-8,1,7,3,4]
[2,5,4,1,6,7,8,3]=>[6,-2,-4,1,7,8,-5,3]
[8,3,7,1,2,4,5,6]=>[3,1,2,8,4,7,5,6]
[6,3,7,1,2,4,8,5]=>[7,3,1,8,2,4,-6,5]
[8,3,5,1,2,7,4,6]=>[3,5,1,7,-8,2,4,6]
[6,3,5,1,2,7,8,4]=>[5,3,7,1,2,8,-6,4]
[8,7,4,1,2,3,5,6]=>[1,8,4,7,2,3,5,6]
[6,7,4,1,2,3,8,5]=>[7,8,1,4,2,3,-6,5]
[6,7,5,1,2,3,8,4]=>[7,5,1,8,2,3,-6,4]
[6,8,4,1,2,7,3,5]=>[8,4,1,7,-6,2,3,5]
[6,8,5,1,2,7,3,4]=>[8,1,5,7,-6,2,3,4]
[6,5,4,1,2,7,8,3]=>[-4,-5,7,1,2,8,-6,3]
[8,3,4,1,7,2,5,6]=>[4,-3,-8,1,2,7,5,6]
[7,3,4,1,6,2,8,5]=>[4,-3,8,1,-6,2,-7,5]
[8,3,5,1,7,2,4,6]=>[-3,5,-8,1,2,7,4,6]
[7,3,8,1,6,2,4,5]=>[7,1,8,-3,6,2,4,5]
[7,3,5,1,6,2,8,4]=>[6,-3,8,1,-5,2,-7,4]
[8,5,4,1,7,2,3,6]=>[-8,-4,-5,7,1,2,3,6]
[7,8,5,1,6,2,3,4]=>[8,1,-7,5,2,6,3,4]
[7,5,4,1,6,2,8,3]=>[-8,-6,-4,1,-7,2,-5,3]
[5,3,4,1,8,7,2,6]=>[4,-3,7,1,-8,-5,2,6]
[8,3,5,1,6,7,2,4]=>[-3,1,5,-8,6,7,2,4]
[8,5,4,1,6,7,2,3]=>[-8,-4,6,-5,1,7,2,3]
[5,3,4,1,6,7,8,2]=>[4,6,-3,1,7,8,-5,2]
[2,3,7,8,1,4,5,6]=>[3,-2,1,4,7,8,5,6]
[2,3,7,6,1,4,8,5]=>[3,-2,-6,8,1,4,-7,5]
[2,3,8,5,1,7,4,6]=>[3,-5,7,-2,-8,1,4,6]
[2,3,8,6,1,7,4,5]=>[-6,3,7,-2,-8,1,4,5]
[2,3,6,5,1,7,8,4]=>[3,7,-2,-5,1,8,-6,4]
[2,7,4,8,1,3,5,6]=>[7,-2,4,1,3,8,5,6]
[2,7,4,6,1,3,8,5]=>[-6,-2,4,8,1,3,-7,5]
[2,7,8,5,1,3,4,6]=>[7,-2,1,8,5,3,4,6]
[2,7,8,6,1,3,4,5]=>[7,-2,1,8,3,6,4,5]
[2,7,6,5,1,3,8,4]=>[-2,-5,-6,8,1,3,-7,4]
[2,8,4,5,1,7,3,6]=>[-2,5,-4,1,-8,7,3,6]
[2,8,6,5,1,7,3,4]=>[-2,-5,-8,7,-6,1,3,4]
[2,6,4,5,1,7,8,3]=>[-2,5,7,-4,1,8,-6,3]
[7,3,4,8,1,2,5,6]=>[3,4,7,1,2,8,5,6]
[7,3,4,6,1,2,8,5]=>[3,6,4,8,1,2,-7,5]
[7,3,8,5,1,2,4,6]=>[7,8,3,1,5,2,4,6]
[7,3,8,6,1,2,4,5]=>[7,8,3,1,2,6,4,5]
[7,8,4,5,1,2,3,6]=>[1,4,7,8,5,2,3,6]
[7,8,4,6,1,2,3,5]=>[1,4,7,8,2,6,3,5]
[7,6,4,5,1,2,8,3]=>[-6,4,5,8,1,2,-7,3]
[8,3,4,5,1,7,2,6]=>[5,8,-4,7,1,-3,2,6]
[8,3,4,6,1,7,2,5]=>[-4,8,6,7,1,-3,2,5]
[8,3,6,5,1,7,2,4]=>[-3,5,-8,7,-6,1,2,4]
[8,6,4,5,1,7,2,3]=>[-6,4,5,1,-8,7,2,3]
[6,3,4,5,1,7,8,2]=>[4,5,7,-6,1,8,-3,2]
[2,3,4,8,7,1,5,6]=>[3,4,-8,-2,1,7,5,6]
[2,3,4,7,6,1,8,5]=>[3,4,8,-2,-6,1,-7,5]
[2,3,8,5,7,1,4,6]=>[-8,3,-2,5,1,7,4,6]
[2,3,8,7,6,1,4,5]=>[3,-7,-8,-2,1,6,4,5]
[2,3,7,5,6,1,8,4]=>[3,-2,6,8,-5,1,-7,4]
[2,8,4,5,7,1,3,6]=>[8,2,4,5,1,7,3,6]
[2,8,4,7,6,1,3,5]=>[7,-2,-8,4,1,6,3,5]
[2,8,7,5,6,1,3,4]=>[-8,7,-2,1,5,6,3,4]
[2,7,4,5,6,1,8,3]=>[2,5,6,8,-4,1,-7,3]
[8,3,4,7,6,1,2,5]=>[3,4,-8,7,1,6,2,5]
[8,3,7,5,6,1,2,4]=>[-8,3,1,7,5,6,2,4]
[8,7,4,5,6,1,2,3]=>[1,8,4,7,5,6,2,3]
[7,3,4,5,6,1,8,2]=>[7,5,6,8,-4,1,-3,2]
[2,3,4,5,8,7,1,6]=>[3,4,5,-2,-8,7,1,6]
[2,3,4,8,6,7,1,5]=>[3,4,-8,-2,6,7,1,5]
[2,3,8,5,6,7,1,4]=>[-2,-8,3,5,6,7,1,4]
[2,8,4,5,6,7,1,3]=>[-2,8,4,5,6,7,1,3]
[8,3,4,5,6,7,1,2]=>[3,4,5,8,6,7,1,2]
[5,6,3,7,1,2,4,8]=>[5,6,3,1,7,2,4,8]
[2,3,4,6,7,8,1,5]=>[3,4,-2,6,7,8,1,5]
[3,2,7,8,1,6,5,4]=>[-2,-3,6,5,1,-8,-7,4]
[1,2,7,5,3,8,6,4]=>[1,2,-6,-5,3,-8,-7,4]
[1,6,2,8,5,3,7,4]=>[1,-7,-5,2,-8,3,-6,4]
[4,1,2,7,3,8,6,5]=>[6,1,2,-4,3,-8,-7,5]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,-8,5,-7,6]
[1,4,2,8,3,5,6,7]=>[1,8,2,-4,3,5,6,7]
[2,8,1,3,4,5,6,7]=>[-2,1,3,4,5,8,6,7]
[7,3,5,1,8,4,6,2]=>[8,-3,4,-5,1,6,-7,2]
[7,5,1,3,8,4,2,6]=>[8,3,1,4,-7,-5,2,6]
[7,6,1,4,8,3,2,5]=>[-4,1,8,-6,-7,3,2,5]
[7,1,3,5,8,2,4,6]=>[-7,1,3,5,2,8,4,6]
[2,7,8,4,1,6,5,3]=>[6,5,-4,-2,1,-8,-7,3]
[8,6,3,1,2,5,7,4]=>[6,5,3,1,2,7,-8,4]
[8,7,1,4,2,6,5,3]=>[4,5,-6,1,2,-7,-8,3]
[3,4,7,8,1,2,5,6]=>[3,4,1,2,7,8,5,6]
[1,3,2,4,5,6,7,8]=>[1,-3,2,4,5,6,7,8]
[1,3,2,5,4,6,7,8]=>[1,-3,2,-5,4,6,7,8]
[1,3,2,5,4,7,6,8]=>[1,-3,2,-5,4,-7,6,8]
[1,4,2,5,3,7,6,8]=>[1,-5,2,-4,3,-7,6,8]
[1,4,2,5,3,6,7,8]=>[1,-5,2,-4,3,6,7,8]
[1,2,3,5,4,6,7,8]=>[1,2,3,-5,4,6,7,8]
[1,4,3,6,2,5,7,8]=>[1,-3,-4,6,2,5,7,8]
[1,4,3,7,2,5,6,8]=>[1,-3,-4,2,7,5,6,8]
[1,4,3,7,6,8,2,5]=>[1,-3,-4,-7,6,8,2,5]
[1,4,3,7,5,8,2,6]=>[1,-3,5,-7,-4,8,2,6]
[1,4,3,7,2,6,5,8]=>[1,-3,-4,6,2,-7,5,8]
[1,2,3,5,4,7,6,8]=>[1,2,3,-5,4,-7,6,8]
[1,5,3,7,4,8,2,6]=>[1,-3,-7,4,-5,8,2,6]
[1,5,2,6,3,7,4,8]=>[1,-7,2,-6,3,-5,4,8]
[1,4,2,6,3,7,5,8]=>[1,-7,2,-4,3,-6,5,8]
[1,3,2,6,4,7,5,8]=>[1,-3,2,-7,4,-6,5,8]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,-7,6,8]
[1,3,2,6,5,8,4,7]=>[1,-3,2,-5,-6,8,4,7]
[1,4,2,6,5,8,3,7]=>[1,-5,2,-4,-6,8,3,7]
[1,5,2,6,4,8,3,7]=>[1,-4,2,-6,-5,8,3,7]
[1,5,4,8,2,6,3,7]=>[-8,1,-4,6,2,-5,3,7]
[1,5,4,8,3,7,2,6]=>[-8,1,-4,3,-5,7,2,6]
[1,2,3,6,5,8,4,7]=>[1,2,3,-5,-6,8,4,7]
[1,6,2,8,3,5,4,7]=>[-5,-8,1,2,3,-6,4,7]
[4,8,3,7,1,2,6,5]=>[-4,3,7,1,6,2,-8,5]
[6,4,1,2,8,3,7,5]=>[-4,1,7,2,-8,3,-6,5]
[7,8,6,5,4,3,2,1]=>[2,-3,-4,-5,-6,-8,-7,1]
[7,6,8,5,4,3,2,1]=>[-3,2,-4,-5,-8,-6,-7,1]
[7,6,5,8,4,3,2,1]=>[-3,-4,2,-8,-5,-6,-7,1]
[7,6,5,4,8,3,2,1]=>[-3,-8,-4,2,-5,-6,-7,1]
[7,6,5,4,3,8,2,1]=>[-8,-3,-4,-5,2,-6,-7,1]
[7,6,5,4,3,2,8,1]=>[-2,-3,-4,-5,-6,8,-7,1]
[6,7,8,5,4,3,2,1]=>[3,2,-4,-5,-8,-7,-6,1]
[7,5,6,8,4,3,2,1]=>[4,3,2,-8,-6,-5,-7,1]
[7,6,4,5,8,3,2,1]=>[-5,8,3,2,-4,-6,-7,1]
[7,6,5,3,4,8,2,1]=>[-3,-5,4,8,2,-6,-7,1]
[7,6,5,4,2,3,8,1]=>[-4,-5,-6,2,3,8,-7,1]
[7,6,5,4,3,1,2,8]=>[-4,-5,-6,-7,3,1,2,8]
[6,5,7,8,4,3,2,1]=>[-4,3,2,-8,-7,-5,-6,1]
[7,5,4,6,8,3,2,1]=>[-8,-6,3,2,-4,-7,-5,1]
[7,6,4,3,5,8,2,1]=>[-5,-3,-6,8,2,-7,-4,1]
[7,4,5,6,8,3,2,1]=>[6,8,3,2,-5,-7,-4,1]
[7,6,5,3,2,4,8,1]=>[-2,-5,-6,-7,4,8,-3,1]
[7,6,3,4,5,8,2,1]=>[6,4,5,8,2,-3,-7,1]
[7,6,5,4,2,1,3,8]=>[-4,-5,-6,-7,-2,1,3,8]
[7,6,5,2,3,4,8,1]=>[-6,2,5,3,4,8,-7,1]
[7,6,5,4,1,2,3,8]=>[-6,-7,5,1,4,2,3,8]
[4,3,1,5,7,2,6,8]=>[-5,-3,1,-4,7,2,6,8]
[2,4,1,5,3,6,7,8]=>[5,-2,1,-4,3,6,7,8]
[2,3,4,5,7,1,8,6]=>[3,4,5,8,-2,1,-7,6]
[2,3,4,5,6,8,1,7]=>[3,4,5,6,-2,8,1,7]
[3,1,4,5,6,7,8,2]=>[-4,1,5,6,7,8,-3,2]
[8,3,4,5,6,1,2,7]=>[3,4,5,8,6,1,2,7]
[8,1,4,5,6,7,2,3]=>[-4,1,5,8,6,7,2,3]
[2,8,4,5,6,1,3,7]=>[8,2,4,5,6,1,3,7]
[6,3,4,5,1,8,2,7]=>[4,5,-6,8,1,-3,2,7]
[3,1,8,5,6,7,2,4]=>[-8,5,1,-3,6,7,2,4]
[7,1,4,5,6,2,8,3]=>[1,5,6,8,-7,2,-4,3]
[2,3,8,5,6,1,4,7]=>[-8,3,-2,5,6,1,4,7]
[8,6,4,5,1,2,3,7]=>[1,8,6,4,5,2,3,7]
[5,3,4,1,6,8,2,7]=>[4,6,-3,1,-5,8,2,7]
[3,1,4,8,6,7,2,5]=>[-4,1,-8,-3,6,7,2,5]
[8,1,7,5,6,2,3,4]=>[-8,7,1,2,5,6,3,4]
[6,1,4,5,2,7,8,3]=>[1,5,7,-4,2,8,-6,3]
[2,3,4,8,6,1,5,7]=>[3,4,-8,-2,6,1,5,7]
[8,3,6,5,1,2,4,7]=>[-8,3,6,1,5,2,4,7]
[2,6,4,5,1,8,3,7]=>[-2,5,-4,8,1,-6,3,7]
[8,5,4,1,6,2,3,7]=>[-8,-4,6,-5,1,2,3,7]
[4,3,1,5,6,8,2,7]=>[-5,-3,1,6,-4,8,2,7]
[3,1,4,5,8,7,2,6]=>[-4,1,5,-3,-8,7,2,6]
[8,1,4,7,6,2,3,5]=>[7,1,-8,4,2,6,3,5]
[3,1,7,5,6,2,8,4]=>[-6,-3,1,8,-5,2,-7,4]
[8,1,6,5,2,7,3,4]=>[1,-5,-8,7,-6,2,3,4]
[2,4,1,5,6,7,8,3]=>[5,-2,1,6,7,8,-4,3]
[5,1,4,2,6,7,8,3]=>[6,1,-4,2,7,8,-5,3]
[8,5,7,2,3,1,6,4]=>[7,2,6,-5,3,1,-8,4]
[8,5,7,1,3,2,6,4]=>[7,3,6,-5,1,2,-8,4]
[4,8,5,7,1,6,2,3]=>[-4,5,1,7,-8,6,2,3]
[2,4,1,3,6,5,8,7]=>[-2,4,1,3,-6,5,-8,7]
[3,6,4,5,7,2,8,1]=>[-4,5,7,2,-3,8,-6,1]
[6,5,4,3,7,2,8,1]=>[-7,-3,-4,2,-5,8,-6,1]
[2,6,5,7,3,4,8,1]=>[-2,-5,7,3,4,8,-6,1]
[7,5,3,6,4,2,8,1]=>[-4,-3,2,-6,-7,8,-5,1]
[1,6,4,7,5,8,2,3]=>[-4,-7,1,-6,5,8,2,3]
[8,5,3,6,2,7,4,1]=>[-7,-6,2,-3,4,-8,-5,1]
[8,2,6,3,4,7,5,1]=>[-2,7,3,4,5,-6,-8,1]
[1,3,7,4,6,8,2,5]=>[1,-3,-7,4,6,8,2,5]
[7,2,6,3,5,4,8,1]=>[5,-2,3,4,-6,8,-7,1]
[6,2,7,4,3,5,8,1]=>[-2,-4,-7,3,5,8,-6,1]
[2,3,7,4,5,6,8,1]=>[-2,3,4,5,6,8,-7,1]
[5,2,4,7,3,6,8,1]=>[2,7,-4,3,6,8,-5,1]
[4,3,2,7,5,6,8,1]=>[-2,-3,-4,5,6,8,-7,1]
[6,5,7,4,3,2,8,1]=>[-3,2,-4,-7,-5,8,-6,1]
[4,7,5,6,3,2,8,1]=>[-6,3,2,-5,-4,8,-7,1]
[3,7,6,4,5,2,8,1]=>[-4,-3,5,2,-6,8,-7,1]
[2,7,6,5,3,4,8,1]=>[-2,-5,-6,3,4,8,-7,1]
[1,7,6,5,4,8,2,3]=>[-4,-5,-6,-7,1,8,2,3]
[8,6,5,4,2,7,3,1]=>[-2,-7,-4,-5,3,-8,-6,1]
[8,1,6,5,7,2,4,3]=>[5,7,-6,1,4,2,-8,3]
[7,1,6,5,8,3,2,4]=>[1,-5,8,-6,-7,3,2,4]
[1,2,7,6,8,3,4,5]=>[-6,-7,1,2,3,8,4,5]
[6,1,7,5,3,8,2,4]=>[-3,-5,-7,-6,1,8,2,4]
[2,1,7,5,6,8,3,4]=>[-5,-2,-7,1,6,8,3,4]
[3,1,6,7,5,8,2,4]=>[7,1,-3,-6,5,8,2,4]
[5,4,1,7,6,8,2,3]=>[-4,6,-5,-7,1,8,2,3]
[6,5,8,4,2,7,3,1]=>[7,2,-4,-8,3,-5,-6,1]
[4,8,5,6,2,7,3,1]=>[-6,7,-5,2,3,-4,-8,1]
[3,8,6,4,2,7,5,1]=>[2,-4,-3,-7,5,-8,-6,1]
[7,8,5,2,4,6,3,1]=>[5,4,2,6,3,-8,-7,1]
[2,8,6,3,7,4,5,1]=>[-2,-7,3,-8,4,5,-6,1]
[1,8,6,3,7,5,2,4]=>[1,-7,-8,-3,-6,5,2,4]
[8,7,5,2,6,4,3,1]=>[-2,-4,-6,3,-7,-8,-5,1]
[8,7,1,6,2,5,4,3]=>[5,1,-6,4,2,-7,-8,3]
[1,8,2,7,3,6,4,5]=>[1,-7,6,2,-8,3,4,5]
[7,8,1,6,2,4,5,3]=>[-8,1,6,2,4,5,-7,3]
[2,8,1,7,4,3,6,5]=>[-2,4,-6,-7,1,3,-8,5]
[6,8,1,4,7,2,5,3]=>[1,4,-8,7,5,2,-6,3]
[3,8,4,1,7,2,6,5]=>[-4,-7,6,1,-3,2,-8,5]
[5,4,8,1,7,2,6,3]=>[7,-8,1,6,-4,2,-5,3]
[5,4,7,1,8,3,2,6]=>[8,-7,3,1,-4,-5,2,6]
[3,7,4,1,8,5,2,6]=>[5,-4,-3,-8,-7,1,2,6]
[6,7,1,4,8,3,2,5]=>[4,1,8,-7,-6,3,2,5]
[2,7,1,8,4,5,3,6]=>[-2,-8,4,1,-7,5,3,6]
[1,7,2,8,5,3,4,6]=>[-5,-8,-7,1,2,3,4,6]
[7,6,1,8,4,3,2,5]=>[-3,-4,-8,-6,-7,1,2,5]
[8,6,1,7,4,2,5,3]=>[-5,-7,-4,-8,1,2,-6,3]
[8,1,2,7,3,4,6,5]=>[1,-7,2,3,6,4,-8,5]
[7,1,2,8,3,5,4,6]=>[1,-8,5,2,-7,3,4,6]
[6,1,2,8,4,3,5,7]=>[4,-8,1,-6,2,3,5,7]
[1,2,3,8,4,5,6,7]=>[-8,1,2,3,4,5,6,7]
[5,1,2,4,8,3,6,7]=>[1,4,2,-5,3,8,6,7]
[4,3,6,1,5,8,2,7]=>[-6,-3,5,1,-4,8,2,7]
[5,6,2,1,4,8,3,7]=>[-4,-6,2,1,-5,8,3,7]
[2,6,1,4,5,8,3,7]=>[-2,1,4,5,-6,8,3,7]
[6,5,1,4,3,8,2,7]=>[-4,3,1,-5,-6,8,2,7]
[1,6,2,5,8,3,4,7]=>[5,1,-6,2,3,8,4,7]
[8,5,1,3,7,2,6,4]=>[7,3,-5,1,6,2,-8,4]
[8,4,2,1,7,3,6,5]=>[-6,-7,-2,1,-4,3,-8,5]
[7,4,2,1,8,5,3,6]=>[-2,-5,-4,-8,-7,1,3,6]
[1,5,4,2,8,3,6,7]=>[8,1,-4,2,-5,3,6,7]
[6,4,3,1,5,8,2,7]=>[-5,-3,-6,1,-4,8,2,7]
[5,4,3,2,1,8,6,7]=>[-2,-3,-4,-5,-8,1,6,7]
[2,5,3,4,1,8,6,7]=>[-2,3,4,-5,-8,1,6,7]
[4,3,5,2,1,8,6,7]=>[-5,2,-3,-4,-8,1,6,7]
[6,5,7,4,8,3,2,1]=>[-8,3,-4,2,-7,-5,-6,1]
[4,7,5,6,8,3,2,1]=>[-6,8,3,2,-5,-4,-7,1]
[3,7,6,8,4,5,2,1]=>[-8,-3,4,5,2,-6,-7,1]
[2,7,6,8,5,3,4,1]=>[-2,-8,5,-6,3,4,-7,1]
[1,7,6,8,5,4,2,3]=>[-5,-8,1,-6,-7,4,2,3]
[8,6,4,7,5,3,2,1]=>[-3,-5,2,-4,-7,-8,-6,1]
[8,3,7,4,6,5,2,1]=>[4,-6,5,2,-3,-7,-8,1]
[1,4,8,6,7,5,2,3]=>[-4,-6,1,7,-8,5,2,3]
[2,4,8,6,7,3,5,1]=>[6,-2,-8,7,3,5,-4,1]
[7,3,8,5,4,6,2,1]=>[-4,-3,-5,6,2,-8,-7,1]
[3,4,8,5,6,7,2,1]=>[-4,5,6,7,2,-3,-8,1]
[6,3,5,8,4,7,2,1]=>[8,4,-3,7,2,-5,-6,1]
[5,4,3,8,6,7,2,1]=>[-6,-3,-4,7,2,-5,-8,1]
[5,4,2,8,7,3,6,1]=>[2,-7,3,-4,-8,6,-5,1]
[6,2,5,8,7,3,4,1]=>[5,-2,7,-6,3,4,-8,1]
[3,2,8,5,7,4,6,1]=>[-2,-3,-5,7,4,6,-8,1]
[2,3,8,7,4,5,6,1]=>[-2,-7,3,4,5,6,-8,1]
[7,2,8,6,4,3,5,1]=>[-2,-4,-6,-8,3,5,-7,1]
[1,3,8,7,5,6,2,4]=>[1,-7,-8,-3,5,6,2,4]
[8,2,7,6,3,5,4,1]=>[5,-2,-6,3,4,-7,-8,1]
[8,1,7,6,5,2,4,3]=>[1,-5,-6,-7,4,2,-8,3]
[7,1,8,6,5,3,2,4]=>[-3,-5,-6,-8,-7,1,2,4]
[1,2,8,7,6,3,4,5]=>[-6,-7,-8,1,2,3,4,5]
[2,1,8,7,4,6,3,5]=>[-2,-7,-4,-8,1,6,3,5]
[3,1,8,5,7,6,2,4]=>[5,-3,-7,1,-8,6,2,4]
[6,1,5,8,7,4,2,3]=>[1,-5,7,-6,-8,4,2,3]
[5,4,1,8,7,6,2,3]=>[-4,6,-5,-7,-8,1,2,3]
[5,8,6,7,4,3,2,1]=>[-4,3,2,-7,-6,-5,-8,1]
[4,8,7,5,6,3,2,1]=>[-6,-5,3,2,-4,-7,-8,1]
[3,8,7,6,4,5,2,1]=>[-4,-3,-6,5,2,-7,-8,1]
[2,8,7,6,5,3,4,1]=>[-2,-5,-6,-7,3,4,-8,1]
[1,8,7,6,5,4,2,3]=>[-4,-5,-6,-7,-8,1,2,3]
[5,4,7,6,2,3,8,1]=>[-4,6,-5,2,3,8,-7,1]
[8,5,7,3,6,1,4,2]=>[3,7,-5,6,4,1,-8,2]
[3,8,2,1,7,6,5,4]=>[-5,2,-3,1,-6,-7,-8,4]
[4,8,2,7,1,6,5,3]=>[6,2,-7,5,1,-4,-8,3]
[5,8,7,2,1,6,4,3]=>[-4,2,-6,-7,1,-8,-5,3]
[1,2,3,8,7,6,5,4]=>[1,2,3,-5,-6,-7,-8,4]
[5,4,7,6,8,1,3,2]=>[-4,6,-5,8,3,1,-7,2]
[6,7,8,1,2,5,4,3]=>[1,8,5,4,2,-7,-6,3]
[1,3,5,8,2,4,6,7]=>[1,-3,5,2,4,8,6,7]
[1,5,2,8,3,4,6,7]=>[1,8,-5,2,3,4,6,7]
[1,3,2,5,8,4,6,7]=>[1,-3,2,-5,4,8,6,7]
[8,1,3,2,5,4,6,7]=>[3,-5,-8,1,2,4,6,7]
[5,1,3,2,4,8,6,7]=>[3,-5,1,2,-8,4,6,7]
[5,1,2,7,3,4,8,6]=>[1,8,-5,2,3,4,-7,6]
[2,8,1,5,3,4,7,6]=>[-2,-7,1,5,3,4,-8,6]
[1,2,8,4,5,3,7,6]=>[1,-4,2,-7,5,3,-8,6]
[1,4,2,5,7,3,8,6]=>[1,-5,2,8,-4,3,-7,6]
[1,4,2,5,3,8,6,7]=>[1,-5,2,-4,-8,3,6,7]
[1,4,2,8,5,3,6,7]=>[1,-5,-8,2,-4,3,6,7]
[1,8,4,2,5,3,6,7]=>[-8,1,-5,2,-4,3,6,7]
[8,1,5,3,2,4,6,7]=>[-8,3,-5,1,2,4,6,7]
[3,8,1,5,2,4,6,7]=>[1,5,8,-3,2,4,6,7]
[3,5,1,4,8,2,6,7]=>[-5,4,1,-3,2,8,6,7]
[5,1,4,2,8,3,6,7]=>[1,-4,8,2,-5,3,6,7]
[1,5,2,8,4,3,6,7]=>[1,-8,-4,2,-5,3,6,7]
[1,2,8,5,4,3,6,7]=>[1,2,-8,-4,-5,3,6,7]
[1,2,5,4,3,8,6,7]=>[1,2,-4,-5,-8,3,6,7]
[1,2,5,4,7,3,8,6]=>[1,2,-4,8,-5,3,-7,6]
[1,2,4,8,5,3,7,6]=>[1,2,5,-7,-4,3,-8,6]
[4,1,2,6,3,8,7,5]=>[7,1,2,-4,3,-6,-8,5]
[4,1,2,7,6,3,8,5]=>[8,1,2,-4,-6,3,-7,5]
[1,2,7,4,8,5,3,6]=>[1,2,-4,-8,-7,5,3,6]
[1,5,2,7,8,4,3,6]=>[-8,1,2,-7,4,-5,3,6]
[5,1,2,7,4,8,3,6]=>[4,1,-7,2,-5,8,3,6]
[3,5,7,1,4,8,2,6]=>[-5,4,7,1,-3,8,2,6]
[8,3,5,1,4,7,2,6]=>[3,5,4,-8,1,7,2,6]
[2,8,1,5,4,7,3,6]=>[-2,4,-5,-8,1,7,3,6]
[1,2,8,5,7,4,3,6]=>[-7,1,2,4,-8,-5,3,6]
[1,2,4,8,7,5,3,6]=>[1,2,5,-7,-8,-4,3,6]
[4,1,2,8,6,3,7,5]=>[7,1,2,-6,-4,3,-8,5]
[2,8,1,4,3,7,6,5]=>[-2,4,-6,1,3,-7,-8,5]
[1,2,5,3,8,7,6,4]=>[1,2,-6,3,-5,-7,-8,4]
[1,2,8,6,5,3,7,4]=>[1,2,-7,-5,-8,3,-6,4]
[6,1,2,8,7,4,3,5]=>[4,1,-7,-6,-8,2,3,5]
[6,4,1,2,8,7,3,5]=>[-4,1,7,-6,-8,2,3,5]
[3,6,4,8,1,7,2,5]=>[-4,8,-3,1,-6,7,2,5]
[7,6,1,4,2,8,3,5]=>[-4,1,-6,8,-7,2,3,5]
[7,1,6,2,8,4,3,5]=>[4,-8,1,-6,-7,2,3,5]
[1,7,5,2,6,3,8,4]=>[1,-8,-6,2,-7,3,-5,4]
[1,6,2,7,5,3,8,4]=>[1,-8,2,-5,-7,3,-6,4]
[1,2,7,6,5,3,8,4]=>[1,2,-8,-5,-6,3,-7,4]
[1,2,6,5,3,8,7,4]=>[1,2,-7,-5,3,-6,-8,4]
[1,5,2,6,3,8,7,4]=>[1,-7,2,-6,3,-5,-8,4]
[1,5,2,7,6,3,8,4]=>[1,-8,2,-6,-5,3,-7,4]
[1,6,5,2,7,3,8,4]=>[1,-8,-7,2,-5,3,-6,4]
[1,6,7,2,8,4,3,5]=>[1,-8,4,-7,-6,2,3,5]
[6,7,1,4,2,8,3,5]=>[4,1,-7,8,-6,2,3,5]
[6,3,7,1,4,8,2,5]=>[-6,7,4,1,-3,8,2,5]
[3,7,8,1,5,2,4,6]=>[1,7,5,8,-3,2,4,6]
[7,1,2,8,5,3,4,6]=>[1,-8,-7,5,2,3,4,6]
[1,7,2,8,4,5,3,6]=>[-4,-8,1,2,-7,5,3,6]
[1,4,2,7,8,5,3,6]=>[-8,1,2,5,-7,-4,3,6]
[1,4,6,2,7,3,8,5]=>[1,8,-7,2,-4,3,-6,5]
[6,1,2,8,4,3,7,5]=>[4,1,-7,2,-8,3,-6,5]
[7,6,1,3,2,4,8,5]=>[8,3,-6,1,2,4,-7,5]
[6,7,1,3,2,4,8,5]=>[3,8,-7,1,2,4,-6,5]
[1,2,7,3,5,8,4,6]=>[1,-5,2,-7,3,8,4,6]
[1,2,7,5,8,3,4,6]=>[1,-7,-5,2,3,8,4,6]
[5,8,1,3,7,2,4,6]=>[1,-5,8,3,2,7,4,6]
[1,2,5,8,7,3,4,6]=>[1,-5,-8,2,3,7,4,6]
[1,2,5,8,3,7,4,6]=>[1,-8,2,3,7,-5,4,6]
[2,8,1,7,3,5,4,6]=>[-2,-7,1,5,-8,3,4,6]
[8,6,1,3,2,4,7,5]=>[7,-6,3,1,2,4,-8,5]
[4,2,8,1,7,3,6,5]=>[-7,-2,1,6,-4,3,-8,5]
[7,1,2,8,4,3,6,5]=>[4,1,-6,-8,2,3,-7,5]
[1,2,8,4,7,5,3,6]=>[1,-4,2,-7,-8,5,3,6]
[1,2,8,7,4,5,3,6]=>[1,-7,-4,2,-8,5,3,6]
[2,8,1,7,5,3,4,6]=>[-2,-7,-8,1,5,3,4,6]
[8,3,7,1,5,2,4,6]=>[-3,-8,1,7,5,2,4,6]
[8,6,1,4,2,7,3,5]=>[-6,-4,7,1,-8,2,3,5]
[8,1,6,2,7,4,3,5]=>[-7,4,1,-6,-8,2,3,5]
[1,8,5,2,6,3,7,4]=>[1,-7,-8,2,-6,3,-5,4]
[1,5,2,8,6,3,7,4]=>[1,-7,2,-6,-8,3,-5,4]
[1,5,2,7,3,8,6,4]=>[1,-6,2,-8,3,-5,-7,4]
[1,2,8,5,3,7,6,4]=>[1,2,-6,-7,3,-5,-8,4]
[1,2,6,3,8,7,5,4]=>[1,2,-5,3,-7,-6,-8,4]
[1,2,7,6,3,8,5,4]=>[1,2,-5,-8,3,-6,-7,4]
[1,6,2,7,3,8,5,4]=>[1,-5,2,-8,3,-7,-6,4]
[1,7,2,8,5,3,6,4]=>[1,-6,-5,-8,2,3,-7,4]
[7,1,2,8,6,4,3,5]=>[4,1,-6,-8,-7,2,3,5]
[7,4,1,2,8,6,3,5]=>[-4,1,6,-8,-7,2,3,5]
[3,7,4,8,1,6,2,5]=>[-4,-7,8,1,6,-3,2,5]
[3,4,8,7,1,6,2,5]=>[-4,7,-3,1,-8,6,2,5]
[4,2,8,1,7,6,3,5]=>[-7,-2,1,6,-8,-4,3,5]
[2,8,1,7,6,4,3,5]=>[-2,4,-6,-7,-8,1,3,5]
[1,2,8,7,5,3,6,4]=>[1,2,-6,-7,-8,3,-5,4]
[1,2,8,6,3,7,5,4]=>[1,2,-5,-7,3,-8,-6,4]
[1,2,7,3,8,6,5,4]=>[1,2,-5,3,-6,-8,-7,4]
[6,5,3,4,7,2,8,1]=>[-3,4,7,2,-5,8,-6,1]
[7,5,3,6,2,4,8,1]=>[-6,-7,-5,2,4,8,-3,1]
[8,5,3,6,2,7,1,4]=>[-8,6,2,-5,-3,7,1,4]
[8,2,6,3,4,7,1,5]=>[-2,3,6,-8,4,7,1,5]
[7,2,6,3,4,5,8,1]=>[-2,3,6,4,5,8,-7,1]
[6,2,7,3,4,5,8,1]=>[7,2,3,4,5,8,-6,1]
[6,7,3,5,2,4,8,1]=>[7,-3,5,2,4,8,-6,1]
[3,7,6,2,4,5,8,1]=>[-2,-7,6,4,5,8,-3,1]
[2,7,6,3,4,5,8,1]=>[-6,2,3,4,5,8,-7,1]
[8,6,5,2,3,7,1,4]=>[-8,5,2,-6,3,7,1,4]
[5,4,8,6,2,7,1,3]=>[6,-4,-8,-5,2,7,1,3]
[3,8,6,2,4,7,1,5]=>[-8,6,2,4,-3,7,1,5]
[7,8,5,2,3,6,1,4]=>[2,8,5,-7,3,6,1,4]
[1,8,6,3,7,2,4,5]=>[-8,-6,1,-3,2,7,4,5]
[8,7,5,2,6,1,3,4]=>[-8,-5,7,-2,1,6,3,4]
[1,8,2,7,3,4,5,6]=>[-8,1,2,7,3,4,5,6]
[2,8,1,7,3,4,5,6]=>[-8,-2,1,3,4,7,5,6]
[1,7,2,8,3,4,5,6]=>[7,8,1,2,3,4,5,6]
[8,1,2,7,3,4,5,6]=>[-8,1,2,3,4,7,5,6]
[7,1,2,8,3,4,5,6]=>[7,1,2,8,3,4,5,6]
[3,2,1,5,8,4,6,7]=>[-2,-3,1,-5,4,8,6,7]
[5,4,6,3,8,7,1,2]=>[-4,6,-5,3,-8,7,1,2]
[3,6,4,5,8,7,1,2]=>[-6,3,4,5,-8,7,1,2]
[6,5,3,4,8,7,1,2]=>[-6,5,3,4,-8,7,1,2]
[8,5,3,7,6,1,2,4]=>[-5,7,-8,3,1,6,2,4]
[8,6,7,2,5,1,3,4]=>[-8,2,6,1,7,5,3,4]
[6,1,8,3,7,2,4,5]=>[-8,-6,3,1,2,7,4,5]
[7,6,8,2,3,5,1,4]=>[2,3,6,-7,8,5,1,4]
[3,7,8,2,4,6,1,5]=>[-2,4,7,8,-3,6,1,5]
[6,7,3,8,2,5,1,4]=>[-7,-3,2,-6,8,5,1,4]
[5,4,7,8,2,6,1,3]=>[-4,7,2,-5,8,6,1,3]
[2,3,8,7,1,4,5,6]=>[-8,3,-2,1,4,7,5,6]
[7,2,8,6,1,3,4,5]=>[7,8,-2,1,3,6,4,5]
[2,1,8,7,3,4,5,6]=>[-8,7,-2,1,3,4,5,6]
[8,2,7,6,1,3,4,5]=>[8,7,2,1,3,6,4,5]
[1,2,8,7,3,4,5,6]=>[-8,7,1,2,3,4,5,6]
[1,3,8,7,2,4,5,6]=>[-8,1,-3,2,4,7,5,6]
[1,7,8,3,6,2,4,5]=>[1,-7,8,3,2,6,4,5]
[5,4,8,7,6,1,2,3]=>[-7,5,-8,4,1,6,2,3]
[6,8,3,7,5,1,2,4]=>[8,3,-6,7,1,5,2,4]
[7,8,6,2,5,1,3,4]=>[7,8,6,2,1,5,3,4]
[3,8,7,6,1,2,4,5]=>[-8,7,3,1,2,6,4,5]
[2,8,7,6,1,3,4,5]=>[-8,7,-2,1,3,6,4,5]
[5,8,6,7,3,1,2,4]=>[-8,5,6,7,3,1,2,4]
[7,5,6,8,1,4,2,3]=>[1,5,6,8,-7,4,2,3]
[5,7,8,4,1,6,2,3]=>[4,-7,8,6,-5,1,2,3]
[6,7,8,1,4,5,2,3]=>[-6,1,7,8,4,5,2,3]
[6,7,8,1,3,2,5,4]=>[3,8,5,-7,1,2,-6,4]
[5,7,8,3,1,2,6,4]=>[-7,8,6,3,1,2,-5,4]
[5,2,6,7,1,3,4,8]=>[5,-2,1,6,7,3,4,8]
[4,5,3,2,8,1,7,6]=>[2,-3,-5,-4,7,1,-8,6]
[4,6,3,8,2,1,7,5]=>[-3,7,2,-8,-4,1,-6,5]
[3,8,6,7,1,5,2,4]=>[-8,6,1,7,5,-3,2,4]
[1,6,2,7,3,8,4,5]=>[-8,1,-7,2,-6,3,4,5]
[5,8,7,6,3,4,1,2]=>[5,-7,-8,6,3,4,1,2]
[7,8,3,6,5,4,1,2]=>[6,5,3,-8,-7,4,1,2]
[2,8,1,7,5,6,3,4]=>[-2,-7,-8,1,5,6,3,4]
[7,8,5,4,3,6,1,2]=>[4,-8,-7,-5,3,6,1,2]
[1,7,6,5,8,4,3,2]=>[1,-4,-8,3,-5,-6,-7,2]
[5,7,6,4,1,8,3,2]=>[3,-8,-4,-6,1,-5,-7,2]
[5,7,4,2,3,8,1,6]=>[-7,4,2,3,-5,8,1,6]
[7,4,6,3,8,1,2,5]=>[-7,4,6,3,1,8,2,5]
[6,7,5,4,3,2,1,8]=>[2,-3,-4,-5,-7,-6,1,8]
[6,5,7,4,3,2,1,8]=>[-3,2,-4,-7,-5,-6,1,8]
[5,7,6,4,3,2,1,8]=>[2,-3,-4,-6,-5,-7,1,8]
[1,7,6,8,5,4,3,2]=>[1,-4,3,-5,-8,-6,-7,2]
[1,6,8,7,5,4,3,2]=>[1,3,-4,-5,-7,-6,-8,2]
[6,5,4,7,3,2,1,8]=>[-3,-7,2,-4,-5,-6,1,8]
[5,6,7,4,3,2,1,8]=>[3,2,-4,-7,-6,-5,1,8]
[4,7,6,5,3,2,1,8]=>[2,-3,-5,-4,-6,-7,1,8]
[1,6,7,8,5,4,3,2]=>[1,4,3,-5,-8,-7,-6,2]
[1,5,8,7,6,4,3,2]=>[1,3,-4,-6,-5,-7,-8,2]
[2,8,3,1,5,4,6,7]=>[3,-5,-8,-2,1,4,6,7]
[2,5,3,4,7,1,8,6]=>[-2,3,4,8,-5,1,-7,6]
[2,4,8,3,5,7,6,1]=>[3,-2,7,5,6,-4,-8,1]
[2,8,4,3,5,7,6,1]=>[-2,3,-7,5,6,-4,-8,1]
[4,2,5,3,1,8,6,7]=>[-2,3,-5,-4,-8,1,6,7]
[4,2,1,8,5,3,6,7]=>[-2,-5,-8,1,-4,3,6,7]
[5,4,1,3,8,2,6,7]=>[-4,3,1,-5,2,8,6,7]
[5,1,4,8,3,2,6,7]=>[1,3,8,-4,-5,2,6,7]
[1,5,8,4,3,2,6,7]=>[1,-8,3,-4,-5,2,6,7]
[1,8,5,4,3,2,6,7]=>[1,-3,-8,-4,-5,2,6,7]
[4,3,2,8,5,7,6,1]=>[-2,-3,-4,5,6,-7,-8,1]
[1,7,4,3,8,5,2,6]=>[1,-3,-4,-8,-7,5,2,6]
[1,5,7,3,8,4,2,6]=>[1,-8,3,-7,4,-5,2,6]
[5,1,4,7,8,3,2,6]=>[1,7,3,8,-4,-5,2,6]
[5,4,7,1,3,8,2,6]=>[-4,3,7,1,-5,8,2,6]
[4,8,1,5,7,3,6,2]=>[5,1,7,-8,3,6,-4,2]
[8,1,5,3,7,4,6,2]=>[-7,3,1,-5,4,6,-8,2]
[3,8,4,7,6,5,2,1]=>[-4,5,2,-3,-6,-7,-8,1]
[1,6,8,5,3,7,4,2]=>[1,-7,3,-5,4,-8,-6,2]
[6,8,1,7,4,3,5,2]=>[4,3,-7,-8,1,5,-6,2]
[6,4,8,1,7,3,5,2]=>[7,-8,1,-4,3,5,-6,2]
[6,4,8,7,1,5,2,3]=>[-6,-4,7,1,-8,5,2,3]
[7,6,4,1,3,8,2,5]=>[-6,-4,3,-7,1,8,2,5]
[7,1,6,8,4,3,2,5]=>[4,1,-8,-6,-7,3,2,5]
[1,7,5,6,3,2,8,4]=>[-8,1,3,-6,-5,2,-7,4]
[4,2,1,7,8,5,3,6]=>[-8,-2,1,5,-7,-4,3,6]
[2,7,4,6,3,1,8,5]=>[-2,8,3,-4,-6,1,-7,5]
[2,6,8,4,3,7,5,1]=>[4,-2,3,-7,5,-8,-6,1]
[6,2,4,8,3,7,5,1]=>[2,7,-4,3,5,-8,-6,1]
[7,2,6,3,4,1,8,5]=>[8,-2,3,4,-6,1,-7,5]
[2,6,7,3,1,4,8,5]=>[3,8,-7,-2,1,4,-6,5]
[2,7,1,8,3,5,4,6]=>[-2,-8,5,1,-7,3,4,6]
[2,1,7,3,5,8,4,6]=>[-2,-5,1,-7,3,8,4,6]
[8,7,1,3,6,2,4,5]=>[-8,1,7,3,2,6,4,5]
[8,1,2,7,6,3,4,5]=>[1,-7,-8,2,3,6,4,5]
[8,2,1,7,3,5,6,4]=>[-2,-7,5,1,3,6,-8,4]
[8,2,6,1,7,3,5,4]=>[-7,2,1,-6,5,3,-8,4]
[7,8,2,6,3,1,5,4]=>[2,5,-6,-8,3,1,-7,4]
[8,7,2,6,3,5,4,1]=>[2,5,-6,3,4,-7,-8,1]
[8,2,7,4,6,5,3,1]=>[4,-2,5,3,-6,-7,-8,1]
[2,1,8,4,7,5,6,3]=>[-4,-2,1,-7,5,6,-8,3]
[1,2,8,7,4,5,6,3]=>[-4,-7,1,2,5,6,-8,3]
[8,3,7,1,5,6,2,4]=>[3,1,-8,7,5,6,2,4]
[8,6,1,2,7,5,3,4]=>[1,7,5,-6,-8,2,3,4]
[8,1,6,2,7,4,5,3]=>[7,4,1,-6,2,5,-8,3]
[1,8,5,2,6,7,4,3]=>[-7,1,-6,2,4,-8,-5,3]
[5,2,1,8,6,7,4,3]=>[-2,-7,-6,1,4,-5,-8,3]
[2,8,5,7,6,4,3,1]=>[-2,4,3,-6,-5,-7,-8,1]
[1,7,8,5,2,6,4,3]=>[1,-6,-5,4,2,-8,-7,3]
[7,8,1,6,4,2,5,3]=>[6,5,-4,-8,1,2,-7,3]
[7,8,6,1,5,3,2,4]=>[6,5,3,-8,-7,1,2,4]
[7,3,8,6,1,5,2,4]=>[-8,6,-3,1,-7,5,2,4]
[8,7,6,1,5,3,4,2]=>[-6,5,1,-7,3,4,-8,2]
[8,7,1,6,4,5,3,2]=>[4,1,-6,5,3,-7,-8,2]
[8,1,7,5,6,4,3,2]=>[1,-6,4,3,-5,-7,-8,2]
[1,8,6,7,5,4,3,2]=>[-4,1,3,-5,-7,-6,-8,2]
[4,7,5,2,1,8,3,6]=>[-8,2,-5,-4,-7,1,3,6]
[4,8,5,2,1,7,6,3]=>[2,-6,-5,-7,1,-4,-8,3]
[4,6,5,2,1,3,8,7]=>[-5,-4,-6,2,1,3,-8,7]
[5,6,4,2,3,1,8,7]=>[4,-6,2,3,-5,1,-8,7]
[6,4,5,3,1,2,8,7]=>[4,5,-6,3,1,2,-8,7]
[5,4,6,1,3,2,8,7]=>[-4,6,3,1,-5,2,-8,7]
[4,6,8,1,7,3,2,5]=>[8,7,3,-6,1,-4,2,5]
[4,7,8,1,6,3,5,2]=>[8,1,6,3,-7,5,-4,2]
[7,4,8,1,6,5,3,2]=>[-5,-6,3,1,-8,-4,-7,2]
[5,4,8,1,3,7,6,2]=>[-4,7,1,3,6,-5,-8,2]
[8,4,5,3,1,7,6,2]=>[3,6,-5,-7,1,-4,-8,2]
[6,4,8,1,7,5,2,3]=>[-4,7,1,-8,-6,5,2,3]
[5,6,8,7,2,1,3,4]=>[-6,-5,-8,2,1,7,3,4]
[8,5,7,6,4,2,1,3]=>[2,-6,-5,-7,-8,4,1,3]
[8,4,6,3,7,2,1,5]=>[-6,3,2,7,-8,-4,1,5]
[6,3,2,8,7,4,1,5]=>[-2,-3,-7,-6,-8,4,1,5]
[2,1,6,8,7,4,3,5]=>[-2,1,-7,-6,-8,4,3,5]
[2,1,7,8,6,4,5,3]=>[-2,-6,1,-8,4,5,-7,3]
[7,3,2,8,6,4,5,1]=>[-2,-6,-3,-8,4,5,-7,1]
[8,4,7,3,6,2,5,1]=>[-3,7,-4,6,2,5,-8,1]
[7,6,8,5,2,4,3,1]=>[-5,4,-8,2,3,-6,-7,1]
[6,7,8,5,2,3,4,1]=>[7,8,2,5,3,4,-6,1]
[5,7,8,6,2,3,1,4]=>[5,8,6,2,-7,3,1,4]
[5,8,7,6,3,2,1,4]=>[2,-6,-5,-7,-8,-3,1,4]
[6,8,7,5,3,2,4,1]=>[-3,-5,-7,-6,2,4,-8,1]
[7,8,6,5,3,4,2,1]=>[3,-5,-6,4,2,-8,-7,1]
[5,8,4,2,3,7,6,1]=>[-7,4,2,3,6,-5,-8,1]
[7,8,4,2,6,5,3,1]=>[-5,-4,2,3,-6,-8,-7,1]
[4,8,7,2,6,3,5,1]=>[2,-7,6,-4,3,5,-8,1]
[4,8,6,2,7,3,1,5]=>[-7,-6,2,-8,3,-4,1,5]
[3,6,1,8,7,4,2,5]=>[-7,4,1,-6,-8,-3,2,5]
[3,7,1,8,6,4,5,2]=>[-6,4,-3,-8,1,5,-7,2]
[3,8,1,6,7,5,2,4]=>[6,1,-3,7,-8,5,2,4]
[3,7,1,6,8,2,5,4]=>[6,1,8,-3,5,2,-7,4]
[4,7,6,2,8,1,3,5]=>[6,-7,-4,2,1,8,3,5]
[6,7,4,2,8,1,5,3]=>[2,-8,-7,-6,5,1,-4,3]
[6,8,4,2,7,5,1,3]=>[4,-7,-8,2,-6,5,1,3]
[2,1,8,6,7,5,3,4]=>[-7,-2,-6,1,-8,5,3,4]
[8,3,2,6,7,5,1,4]=>[-6,2,-3,7,-8,5,1,4]
[8,6,4,3,7,5,1,2]=>[-4,-7,-8,3,-6,5,1,2]
[8,7,5,6,4,3,1,2]=>[-5,6,4,-7,-8,3,1,2]
[6,7,5,8,1,3,4,2]=>[7,5,1,8,3,4,-6,2]
[7,6,5,8,1,4,3,2]=>[-8,-5,4,3,1,-6,-7,2]
[8,6,5,7,4,1,3,2]=>[-7,-5,4,-8,3,1,-6,2]
[7,6,4,3,8,1,5,2]=>[-8,-3,-6,-7,5,1,-4,2]
[7,3,2,6,8,1,5,4]=>[-6,-2,-3,8,5,1,-7,4]
[2,1,7,6,8,3,5,4]=>[-2,-8,-6,1,5,3,-7,4]
[8,5,6,7,4,1,2,3]=>[5,8,6,7,1,4,2,3]
[6,5,7,8,1,2,4,3]=>[5,1,7,8,4,2,-6,3]
[5,6,3,4,1,2,8,7]=>[5,6,3,4,1,2,-8,7]
[6,5,3,4,2,1,8,7]=>[-3,4,2,-5,-6,1,-8,7]
[8,5,3,7,2,6,4,1]=>[-6,-7,-3,2,4,-8,-5,1]
[8,5,7,4,2,6,3,1]=>[6,2,-7,-4,3,-8,-5,1]
[7,5,8,4,2,6,1,3]=>[2,-8,-7,-5,4,6,1,3]
[8,7,6,4,5,3,2,1]=>[-5,-4,3,2,-6,-7,-8,1]
[7,8,6,4,5,3,1,2]=>[6,-8,4,5,-7,3,1,2]
[2,1,7,8,5,6,3,4]=>[-8,-2,-7,1,5,6,3,4]
[2,1,8,7,5,6,4,3]=>[-2,-6,-5,1,4,-7,-8,3]
[8,7,3,6,5,4,2,1]=>[-3,4,2,-5,-6,-7,-8,1]
[6,8,3,7,5,1,4,2]=>[3,-7,5,-8,4,1,-6,2]
[5,7,3,8,1,6,2,4]=>[-7,-3,8,1,-5,6,2,4]
[5,8,3,7,1,6,4,2]=>[3,6,-7,4,1,-8,-5,2]
[4,5,3,2,7,6,1,8]=>[2,-3,-5,6,-4,-7,1,8]
[4,6,3,7,2,5,1,8]=>[-3,7,-6,2,5,-4,1,8]
[4,6,3,7,5,2,1,8]=>[5,-3,2,-7,-4,-6,1,8]
[4,6,3,8,5,1,2,7]=>[-4,8,3,-6,5,1,2,7]
[4,6,3,8,5,1,7,2]=>[-3,5,7,-8,-4,1,-6,2]
[5,6,8,3,4,1,7,2]=>[3,8,4,7,-6,1,-5,2]
[5,6,8,3,4,1,2,7]=>[5,6,3,8,4,1,2,7]
[5,6,7,3,4,2,1,8]=>[7,3,4,2,-6,-5,1,8]
[5,6,7,3,2,4,1,8]=>[7,-3,-6,2,4,-5,1,8]
[3,2,6,7,5,4,1,8]=>[-2,5,4,-3,-7,-6,1,8]
[4,6,2,7,5,3,1,8]=>[2,-5,3,-7,-4,-6,1,8]
[5,6,7,2,4,3,1,8]=>[7,4,2,3,-6,-5,1,8]
[5,6,7,4,2,3,1,8]=>[7,4,-6,2,3,-5,1,8]
[5,6,8,4,3,1,2,7]=>[4,8,-6,-5,3,1,2,7]
[5,6,8,4,3,1,7,2]=>[3,-4,7,-8,-6,1,-5,2]
[5,7,8,4,1,3,6,2]=>[-7,8,4,3,1,6,-5,2]
[5,7,8,4,1,3,2,6]=>[4,-7,8,3,1,-5,2,6]
[5,7,8,4,1,2,3,6]=>[5,1,7,8,4,2,3,6]
[5,6,8,4,2,1,3,7]=>[-8,2,-6,-5,4,1,3,7]
[5,6,8,2,4,1,3,7]=>[2,6,-5,4,8,1,3,7]
[4,6,2,8,5,1,3,7]=>[8,-4,2,-6,5,1,3,7]
[3,2,6,8,5,1,7,4]=>[-2,8,7,-3,-5,1,-6,4]
[4,6,2,8,5,1,7,3]=>[-5,2,7,-8,-4,1,-6,3]
[5,6,8,2,4,1,7,3]=>[8,2,4,7,-6,1,-5,3]
[5,6,8,4,2,1,7,3]=>[7,-4,2,-8,-6,1,-5,3]
[5,7,8,4,1,2,6,3]=>[-7,8,4,6,1,2,-5,3]
[5,7,8,4,1,6,3,2]=>[6,-8,3,-4,1,-7,-5,2]
[6,7,8,1,4,5,3,2]=>[1,8,4,5,3,-7,-6,2]
[6,7,8,1,4,2,5,3]=>[7,8,5,-4,1,2,-6,3]
[6,7,8,1,2,4,5,3]=>[1,2,7,8,4,5,-6,3]
[5,7,8,2,1,4,6,3]=>[-8,2,-7,1,4,6,-5,3]
[4,7,2,8,1,5,6,3]=>[8,2,-7,1,5,6,-4,3]
[3,2,7,8,1,5,6,4]=>[-2,-3,1,8,5,6,-7,4]
[3,2,7,8,1,5,4,6]=>[-2,-3,5,8,-7,1,4,6]
[5,7,8,2,1,4,3,6]=>[-8,-7,2,4,1,-5,3,6]
[6,7,8,1,2,4,3,5]=>[1,4,7,8,-6,2,3,5]
[6,7,8,1,4,2,3,5]=>[-6,1,7,8,4,2,3,5]
[6,7,8,1,4,3,2,5]=>[4,8,3,-7,-6,1,2,5]
[6,7,8,1,4,3,5,2]=>[7,8,3,-4,1,5,-6,2]
[6,7,8,1,3,4,5,2]=>[1,6,7,8,4,5,-3,2]
[6,7,8,1,3,4,2,5]=>[1,3,7,8,-6,4,2,5]
[6,7,8,1,3,2,4,5]=>[-6,3,7,8,1,2,4,5]
[5,6,8,3,2,1,4,7]=>[-8,3,-6,-5,2,1,4,7]
[5,7,8,3,1,2,4,6]=>[5,3,7,8,1,2,4,6]
[5,7,8,3,1,4,2,6]=>[-3,-7,8,4,1,-5,2,6]
[5,7,8,3,1,4,6,2]=>[-3,8,-7,1,4,6,-5,2]
[4,7,3,8,1,5,6,2]=>[3,8,-7,1,5,6,-4,2]
[4,7,3,8,1,5,2,6]=>[-7,-3,8,5,1,-4,2,6]
[4,7,3,8,1,2,5,6]=>[-4,3,7,1,2,8,5,6]
[4,6,3,8,2,1,5,7]=>[-3,-6,8,2,-4,1,5,7]
[4,5,3,2,8,1,6,7]=>[2,-3,-5,-4,1,8,6,7]
[3,2,5,4,8,1,7,6]=>[-2,4,-3,-5,7,1,-8,6]
[4,5,2,3,8,1,7,6]=>[5,2,3,-4,7,1,-8,6]
[4,7,3,8,1,2,6,5]=>[-4,8,3,1,6,2,-7,5]
[4,7,3,8,1,6,2,5]=>[-7,-3,8,1,6,-4,2,5]
[4,7,3,8,1,6,5,2]=>[-3,6,-8,5,1,-4,-7,2]
[5,7,8,3,1,6,4,2]=>[6,-3,4,-8,1,-7,-5,2]
[5,7,8,3,1,6,2,4]=>[-3,-7,8,6,-5,1,2,4]
[5,6,8,3,2,1,7,4]=>[3,-7,2,-8,-6,1,-5,4]
[4,6,2,8,3,1,7,5]=>[-7,2,3,-8,-4,1,-6,5]
[3,2,6,8,4,1,7,5]=>[-2,4,7,-3,-8,1,-6,5]
[3,2,7,8,1,4,6,5]=>[-2,-3,1,8,6,4,-7,5]
[4,7,2,8,1,3,6,5]=>[8,-4,2,1,6,3,-7,5]
[5,7,8,2,1,3,6,4]=>[-8,2,-7,1,6,3,-5,4]
[6,7,8,1,2,3,5,4]=>[1,2,7,8,5,3,-6,4]
[6,7,8,1,3,5,2,4]=>[1,3,7,-6,8,5,2,4]
[6,7,8,1,3,5,4,2]=>[1,8,5,3,4,-7,-6,2]
[6,7,8,1,5,3,4,2]=>[1,8,5,-7,3,4,-6,2]
[6,7,8,1,5,3,2,4]=>[3,8,5,-7,-6,1,2,4]
[6,7,8,1,5,2,3,4]=>[-6,1,7,8,2,5,3,4]
[6,7,8,1,2,5,3,4]=>[1,2,7,8,-6,5,3,4]
[5,7,8,2,1,6,3,4]=>[-8,-7,2,6,-5,1,3,4]
[4,7,2,8,1,6,3,5]=>[8,-7,2,1,6,-4,3,5]
[3,2,7,8,1,6,4,5]=>[-2,-3,1,8,-7,6,4,5]
[4,7,2,8,1,6,5,3]=>[-6,2,-8,5,1,-4,-7,3]
[5,7,8,2,1,6,4,3]=>[2,-6,4,-8,1,-7,-5,3]
[6,7,8,1,5,2,4,3]=>[1,8,5,-7,4,2,-6,3]
[6,7,8,1,5,4,2,3]=>[1,8,5,-7,-6,4,2,3]
[6,7,8,1,5,4,3,2]=>[5,4,3,1,-8,-7,-6,2]
[1,4,3,6,5,8,7,-2]=>[3,1,5,-4,7,-6,-8,-2]
[4,1,2,6,5,8,7,-3]=>[-4,1,5,2,7,-6,-8,-3]
[3,1,2,6,5,8,7,-4]=>[3,1,5,2,7,-6,-8,-4]
[3,1,6,2,4,8,7,-5]=>[-6,1,-3,2,7,4,-8,-5]
[3,1,5,2,4,8,7,-6]=>[5,1,-3,2,7,4,-8,-6]
[3,1,5,2,8,4,6,-7]=>[-8,1,-3,2,-5,4,6,-7]
[3,1,5,2,7,4,6,-8]=>[7,1,-3,2,-5,4,6,-8]
[4,5,1,2,7,3,6,-8]=>[5,1,7,2,-4,3,6,-8]
[4,5,1,2,8,3,6,-7]=>[5,8,1,2,-4,3,6,-7]
[4,5,1,2,3,8,7,-6]=>[1,4,5,2,7,3,-8,-6]
[4,6,1,2,3,8,7,-5]=>[1,6,4,2,7,3,-8,-5]
[5,6,1,2,3,8,7,-4]=>[5,6,1,2,7,3,-8,-4]
[5,1,6,2,4,8,7,-3]=>[-6,1,-5,4,7,2,-8,-3]
[1,5,6,3,4,8,7,-2]=>[1,6,3,4,7,-5,-8,-2]
[1,6,5,3,4,8,7,-2]=>[1,-5,3,4,7,-6,-8,-2]
[6,1,5,2,4,8,7,-3]=>[5,1,-6,4,7,2,-8,-3]
[6,5,1,2,3,8,7,-4]=>[-6,5,1,2,7,3,-8,-4]
[6,4,1,2,3,8,7,-5]=>[-6,1,4,2,7,3,-8,-5]
[5,4,1,2,3,8,7,-6]=>[5,1,4,2,7,3,-8,-6]
[5,4,1,2,8,3,6,-7]=>[-4,8,1,2,-5,3,6,-7]
[5,4,1,2,7,3,6,-8]=>[-4,1,7,2,-5,3,6,-8]
[6,4,1,7,2,3,5,-8]=>[-6,-4,7,1,2,3,5,-8]
[6,4,1,8,2,3,5,-7]=>[-6,8,-4,1,2,3,5,-7]
[7,4,1,8,2,3,5,-6]=>[-4,8,-7,1,2,3,5,-6]
[7,4,1,2,8,3,6,-5]=>[-4,8,1,2,-7,6,3,-5]
[7,5,1,2,8,3,6,-4]=>[1,8,-5,2,-7,6,3,-4]
[7,1,5,2,8,4,6,-3]=>[8,1,2,-5,4,6,-7,-3]
[1,7,5,3,8,4,6,-2]=>[1,3,-8,-5,4,6,-7,-2]
[1,8,5,3,7,4,6,-2]=>[1,-7,3,4,-8,6,-5,-2]
[8,1,5,2,7,4,6,-3]=>[-7,-5,1,2,4,6,-8,-3]
[8,5,1,2,7,3,6,-4]=>[-5,7,1,2,-8,6,3,-4]
[8,4,1,2,7,3,6,-5]=>[4,7,1,2,-8,6,3,-5]
[8,4,1,7,2,3,5,-6]=>[-8,7,-4,1,2,3,5,-6]
[8,4,1,6,2,3,5,-7]=>[-8,-4,6,1,2,3,5,-7]
[7,4,1,6,2,3,5,-8]=>[7,-4,6,1,2,3,5,-8]
[7,5,6,1,2,3,4,-8]=>[1,2,7,5,6,3,4,-8]
[8,5,6,1,2,3,4,-7]=>[1,8,2,5,6,3,4,-7]
[8,5,7,1,2,3,4,-6]=>[1,8,2,7,5,3,4,-6]
[8,6,7,1,2,3,4,-5]=>[1,8,6,7,2,3,4,-5]
[8,6,1,7,2,3,5,-4]=>[-8,7,-6,1,2,5,3,-4]
[8,1,6,7,2,4,5,-3]=>[-8,1,6,7,4,5,2,-3]
[1,8,6,7,3,4,5,-2]=>[6,-8,3,7,4,5,1,-2]
[1,7,6,8,3,4,5,-2]=>[-6,-7,3,8,4,5,1,-2]
[7,1,6,8,2,4,5,-3]=>[1,-7,6,8,4,5,2,-3]
[7,6,1,8,2,3,5,-4]=>[-6,8,-7,1,2,5,3,-4]
[7,6,8,1,2,3,4,-5]=>[7,1,6,8,2,3,4,-5]
[7,5,8,1,2,3,4,-6]=>[7,1,2,8,5,3,4,-6]
[6,5,8,1,2,3,4,-7]=>[1,6,2,8,5,3,4,-7]
[6,5,7,1,2,3,4,-8]=>[1,6,2,5,7,3,4,-8]
[5,6,7,1,2,3,4,-8]=>[1,2,5,6,7,3,4,-8]
[5,6,8,1,2,3,4,-7]=>[1,2,5,8,6,3,4,-7]
[5,7,8,1,2,3,4,-6]=>[1,2,7,8,5,3,4,-6]
[6,7,8,1,2,3,4,-5]=>[1,6,7,8,2,3,4,-5]
[6,7,1,8,2,3,5,-4]=>[7,8,-6,1,2,5,3,-4]
[6,1,7,8,2,4,5,-3]=>[7,-6,1,8,4,5,2,-3]
[1,6,7,8,3,4,5,-2]=>[-6,3,7,8,4,5,1,-2]
[1,5,7,3,8,4,6,-2]=>[1,8,3,4,-7,6,-5,-2]
[5,1,7,2,8,4,6,-3]=>[-8,1,-7,4,2,6,-5,-3]
[5,7,1,2,8,3,6,-4]=>[7,8,1,2,3,6,-5,-4]
[4,7,1,2,8,3,6,-5]=>[7,8,1,2,-4,6,3,-5]
[4,7,1,8,2,3,5,-6]=>[7,8,-4,1,2,3,5,-6]
[4,6,1,8,2,3,5,-7]=>[-4,8,6,1,2,3,5,-7]
[4,6,1,7,2,3,5,-8]=>[-4,6,7,1,2,3,5,-8]
[3,1,6,7,2,4,5,-8]=>[1,6,-3,2,7,4,5,-8]
[3,1,6,8,2,4,5,-7]=>[1,6,-3,8,2,4,5,-7]
[3,1,7,8,2,4,5,-6]=>[7,1,-3,8,2,4,5,-6]
[3,1,7,2,8,4,6,-5]=>[-8,1,-3,2,-7,6,4,-5]
[3,1,2,7,8,5,6,-4]=>[3,1,2,8,5,6,-7,-4]
[4,1,2,7,8,5,6,-3]=>[-4,1,2,8,5,6,-7,-3]
[1,4,3,7,8,5,6,-2]=>[3,1,-4,8,5,6,-7,-2]
[1,4,3,8,7,5,6,-2]=>[3,1,-4,-7,5,6,-8,-2]
[4,1,2,8,7,5,6,-3]=>[-4,1,2,-7,5,6,-8,-3]
[3,1,2,8,7,5,6,-4]=>[3,1,2,-7,5,6,-8,-4]
[3,1,8,2,7,4,6,-5]=>[7,1,-3,2,-8,6,4,-5]
[3,1,8,7,2,4,5,-6]=>[7,1,-8,-3,2,4,5,-6]
[3,1,8,6,2,4,5,-7]=>[1,6,-8,-3,2,4,5,-7]
[3,1,7,6,2,4,5,-8]=>[1,-7,6,-3,2,4,5,-8]
[4,7,1,6,2,3,5,-8]=>[1,7,-4,2,6,3,5,-8]
[4,8,1,6,2,3,5,-7]=>[8,1,-4,2,6,3,5,-7]
[4,8,1,7,2,3,5,-6]=>[8,1,-4,7,2,3,5,-6]
[4,8,1,2,7,3,6,-5]=>[8,1,7,2,-4,6,3,-5]
[5,8,1,2,7,3,6,-4]=>[8,1,7,2,3,6,-5,-4]
[5,1,8,2,7,4,6,-3]=>[7,1,-8,4,2,6,-5,-3]
[1,5,8,3,7,4,6,-2]=>[1,3,7,4,-8,6,-5,-2]
[1,6,8,7,3,4,5,-2]=>[-6,1,3,7,4,5,-8,-2]
[6,1,8,7,2,4,5,-3]=>[7,-6,-8,1,4,5,2,-3]
[6,8,1,7,2,3,5,-4]=>[8,1,-6,7,2,5,3,-4]
[6,8,7,1,2,3,4,-5]=>[8,6,1,7,2,3,4,-5]
[5,8,7,1,2,3,4,-6]=>[8,1,5,7,2,3,4,-6]
[5,8,6,1,2,3,4,-7]=>[8,1,5,2,6,3,4,-7]
[5,7,6,1,2,3,4,-8]=>[1,7,5,2,6,3,4,-8]
[6,7,5,1,2,3,4,-8]=>[1,6,7,2,5,3,4,-8]
[6,8,5,1,2,3,4,-7]=>[1,8,6,2,5,3,4,-7]
[7,8,5,1,2,3,4,-6]=>[7,8,1,2,5,3,4,-6]
[7,8,6,1,2,3,4,-5]=>[7,8,1,6,2,3,4,-5]
[7,8,1,6,2,3,5,-4]=>[1,8,-7,6,2,5,3,-4]
[7,1,8,6,2,4,5,-3]=>[6,-8,-7,1,4,5,2,-3]
[1,7,8,6,3,4,5,-2]=>[-8,1,3,6,4,5,-7,-2]
[1,8,7,6,3,4,5,-2]=>[-6,-7,-8,3,4,5,1,-2]
[8,1,7,6,2,4,5,-3]=>[1,-7,-8,6,4,5,2,-3]
[8,7,1,6,2,3,5,-4]=>[7,1,-8,6,2,5,3,-4]
[8,7,6,1,2,3,4,-5]=>[-8,7,1,6,2,3,4,-5]
[8,7,5,1,2,3,4,-6]=>[-8,7,1,2,5,3,4,-6]
[8,6,5,1,2,3,4,-7]=>[-8,1,6,2,5,3,4,-7]
[7,6,5,1,2,3,4,-8]=>[7,1,6,2,5,3,4,-8]
[2,4,7,8,1,3,5,6]=>[-2,4,1,3,7,8,5,6]
[2,5,6,8,1,3,4,7]=>[-2,1,5,6,3,8,4,7]
[2,5,7,8,1,3,4,6]=>[-2,1,5,3,7,8,4,6]
[2,6,7,8,1,3,4,5]=>[-2,1,3,6,7,8,4,5]
[3,4,6,8,1,2,5,7]=>[3,4,1,6,2,8,5,7]
[3,5,6,8,1,2,4,7]=>[3,1,5,6,2,8,4,7]
[3,5,7,8,1,2,4,6]=>[3,1,5,2,7,8,4,6]
[3,6,7,8,1,2,4,5]=>[3,1,2,6,7,8,4,5]
[4,5,6,8,1,2,3,7]=>[1,4,5,6,2,8,3,7]
[4,5,7,8,1,2,3,6]=>[1,4,5,2,7,8,3,6]
[4,6,7,8,1,2,3,5]=>[1,4,2,6,7,8,3,5]
[5,8,6,2,4,1,7,3]=>[4,-6,2,-5,7,1,-8,3]
[8,1,2,3,4,5,7,6]=>[1,2,3,4,7,5,-8,6]
[1,7,2,3,4,6,5,8]=>[1,6,2,3,4,-7,5,8]
[1,4,2,3,5,6,7,8]=>[-4,1,2,3,5,6,7,8]
[1,5,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]
[1,7,2,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]
[1,8,2,3,4,5,6,7]=>[1,2,3,8,4,5,6,7]
[1,8,2,4,3,5,6,7]=>[-8,-4,1,2,3,5,6,7]
[1,7,2,4,3,5,6,8]=>[-4,-7,1,2,3,5,6,8]
[1,6,2,4,3,5,7,8]=>[-4,1,-6,2,3,5,7,8]
[1,5,2,4,3,6,7,8]=>[-4,1,2,-5,3,6,7,8]
[1,2,3,6,4,5,7,8]=>[1,2,-6,3,4,5,7,8]
[1,3,2,6,4,5,7,8]=>[1,-3,-6,2,4,5,7,8]
[1,4,2,6,3,5,7,8]=>[-6,1,2,-4,3,5,7,8]
[1,5,2,6,3,4,7,8]=>[-6,1,-5,2,3,4,7,8]
[1,6,2,5,3,4,7,8]=>[5,1,-6,2,3,4,7,8]
[1,7,2,5,3,4,6,8]=>[5,-7,1,2,3,4,6,8]
[1,8,2,5,3,4,6,7]=>[-8,5,1,2,3,4,6,7]
[1,8,2,6,3,4,5,7]=>[-8,1,6,2,3,4,5,7]
[1,7,2,6,3,4,5,8]=>[1,-7,6,2,3,4,5,8]
[1,6,2,7,3,4,5,8]=>[7,-6,1,2,3,4,5,8]
[1,4,2,7,3,5,6,8]=>[7,1,2,-4,3,5,6,8]
[1,3,2,7,4,5,6,8]=>[1,-7,-3,2,4,5,6,8]
[1,2,3,7,4,5,6,8]=>[1,-7,2,3,4,5,6,8]
[1,3,2,8,4,5,6,7]=>[-8,1,-3,2,4,5,6,7]
[1,6,2,8,3,4,5,7]=>[-6,8,1,2,3,4,5,7]
[1,8,2,7,3,5,4,6]=>[5,-7,1,2,-8,3,4,6]
[1,7,2,8,3,5,4,6]=>[-5,-8,1,2,-7,3,4,6]
[1,5,2,8,3,6,4,7]=>[-6,1,-8,2,3,-5,4,7]
[1,4,2,8,3,6,5,7]=>[-6,1,2,-4,-8,3,5,7]
[1,3,2,8,4,6,5,7]=>[1,-3,-6,2,-8,4,5,7]
[1,2,3,8,4,6,5,7]=>[1,2,-6,3,-8,4,5,7]
[1,2,3,7,4,6,5,8]=>[1,2,-6,3,4,-7,5,8]
[1,3,2,7,4,6,5,8]=>[1,-3,-6,2,4,-7,5,8]
[1,4,2,7,3,6,5,8]=>[-6,1,2,-4,3,-7,5,8]
[1,5,2,7,3,6,4,8]=>[-6,1,2,-7,3,-5,4,8]
[1,6,2,7,3,5,4,8]=>[-5,1,-7,2,3,-6,4,8]
[1,7,2,6,3,5,4,8]=>[5,1,-6,2,3,-7,4,8]
[1,8,2,6,3,5,4,7]=>[5,1,-6,2,-8,3,4,7]
[1,8,2,5,3,6,4,7]=>[-6,1,-5,2,-8,3,4,7]
[1,7,2,5,3,6,4,8]=>[-6,1,-5,2,3,-7,4,8]
[1,6,2,5,3,7,4,8]=>[-7,1,2,-5,3,-6,4,8]
[1,5,2,4,3,7,6,8]=>[-4,1,2,-5,3,-7,6,8]
[1,6,2,4,3,7,5,8]=>[-4,1,2,-7,3,-6,5,8]
[1,7,2,4,3,6,5,8]=>[-4,1,-6,2,3,-7,5,8]
[1,8,2,4,3,6,5,7]=>[-4,1,-6,2,-8,3,5,7]
[1,8,2,3,4,6,5,7]=>[1,6,2,3,-8,4,5,7]
[1,6,2,3,4,7,5,8]=>[7,1,2,3,4,-6,5,8]
[1,5,2,3,4,7,6,8]=>[5,1,2,3,4,-7,6,8]
[1,4,2,3,5,7,6,8]=>[-4,1,2,3,5,-7,6,8]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,-8,5,6,7]
[1,3,2,4,5,8,6,7]=>[1,-3,2,4,-8,5,6,7]
[1,4,2,3,5,8,6,7]=>[-4,1,2,3,-8,5,6,7]
[1,6,2,3,4,8,5,7]=>[1,8,2,3,4,-6,5,7]
[1,7,2,3,4,8,5,6]=>[1,8,2,3,-7,4,5,6]
[1,8,2,3,4,7,5,6]=>[1,2,7,3,-8,4,5,6]
[1,8,2,4,3,7,5,6]=>[-4,-7,1,2,-8,3,5,6]
[1,7,2,4,3,8,5,6]=>[-4,1,-8,2,-7,3,5,6]
[1,6,2,4,3,8,5,7]=>[-4,1,-8,2,3,-6,5,7]
[1,5,2,4,3,8,6,7]=>[-4,1,2,-5,-8,3,6,7]
[1,3,2,5,4,8,6,7]=>[1,-3,2,-5,-8,4,6,7]
[1,2,3,5,4,8,6,7]=>[1,2,3,-5,-8,4,6,7]
[1,3,2,6,4,8,5,7]=>[1,-3,-8,2,4,-6,5,7]
[1,5,2,6,3,8,4,7]=>[-8,1,2,-6,3,-5,4,7]
[1,6,2,5,3,8,4,7]=>[8,1,2,-5,3,-6,4,7]
[1,7,2,5,3,8,4,6]=>[8,1,2,-5,-7,3,4,6]
[1,8,2,5,3,7,4,6]=>[7,1,-5,2,-8,3,4,6]
[1,8,2,6,3,7,4,5]=>[7,-6,1,2,-8,3,4,5]
[1,7,2,6,3,8,4,5]=>[8,1,-6,2,-7,3,4,5]
[1,5,2,7,3,8,4,6]=>[-8,1,-7,2,3,-5,4,6]
[1,4,2,7,3,8,5,6]=>[-8,1,2,-4,-7,3,5,6]
[1,3,2,7,4,8,5,6]=>[1,-3,-8,2,-7,4,5,6]
[1,2,3,7,4,8,5,6]=>[1,2,-8,3,-7,4,5,6]
[1,2,3,8,4,7,5,6]=>[1,-7,2,3,-8,4,5,6]
[1,3,2,8,4,7,5,6]=>[1,-7,-3,2,-8,4,5,6]
[1,4,2,8,3,7,5,6]=>[7,1,2,-4,-8,3,5,6]
[1,5,2,8,3,7,4,6]=>[7,1,-8,2,3,-5,4,6]
[1,6,2,8,3,7,4,5]=>[7,1,-8,2,-6,3,4,5]
[1,7,2,8,3,6,4,5]=>[6,-8,1,2,-7,3,4,5]
[3,2,5,4,7,6,-1,8]=>[-2,4,-3,6,-5,-7,-1,8]
[4,5,2,3,7,6,-1,8]=>[5,2,3,6,-4,-7,-1,8]
[5,4,2,3,7,6,-1,8]=>[-4,2,3,6,-5,-7,-1,8]
[6,4,2,7,3,5,-1,8]=>[2,-7,-4,3,5,-6,-1,8]
[7,4,2,6,3,5,-1,8]=>[-6,2,3,-7,5,-4,-1,8]
[8,4,2,6,3,-1,5,7]=>[-6,-8,-2,3,-4,-1,5,7]
[-1,4,2,6,3,8,5,7]=>[-8,-1,2,-4,3,-6,5,7]
[-1,5,6,2,3,8,4,7]=>[-6,-1,2,8,3,-5,4,7]
[8,5,6,2,3,-1,4,7]=>[2,5,-8,6,3,-1,4,7]
[7,5,6,2,3,4,-1,8]=>[7,5,6,3,4,-2,-1,8]
[6,5,7,2,3,4,-1,8]=>[2,5,7,3,4,-6,-1,8]
[5,6,7,2,3,4,-1,8]=>[5,6,7,3,4,-2,-1,8]
[4,6,2,7,3,5,-1,8]=>[7,2,3,-6,5,-4,-1,8]
[3,2,6,7,4,5,-1,8]=>[-2,-3,7,4,5,-6,-1,8]
[3,2,7,6,4,5,-1,8]=>[-2,-3,-6,4,5,-7,-1,8]
[4,7,2,6,3,5,-1,8]=>[2,6,3,-7,5,-4,-1,8]
[5,7,6,2,3,4,-1,8]=>[5,2,6,3,4,-7,-1,8]
[6,7,5,2,3,4,-1,8]=>[7,2,5,3,4,-6,-1,8]
[7,6,5,2,3,4,-1,8]=>[-6,2,5,3,4,-7,-1,8]
[8,6,5,2,3,-1,4,7]=>[-6,5,-8,2,3,-1,4,7]
[-1,6,5,2,3,8,4,7]=>[8,-5,-1,2,3,-6,4,7]
[-1,7,5,2,8,3,4,6]=>[8,-5,-7,-1,2,3,4,6]
[8,7,5,2,-1,3,4,6]=>[-8,7,5,-2,-1,3,4,6]
[7,8,5,2,-1,3,4,6]=>[-7,8,5,2,-1,3,4,6]
[6,8,5,2,3,-1,4,7]=>[5,8,2,-6,3,-1,4,7]
[5,8,6,2,3,-1,4,7]=>[5,6,-8,2,3,-1,4,7]
[4,8,2,6,3,-1,5,7]=>[6,-8,2,3,-4,-1,5,7]
[3,2,8,6,4,-1,5,7]=>[-2,4,-8,-6,-3,-1,5,7]
[3,2,-1,6,4,8,5,7]=>[-2,-3,-8,-1,4,-6,5,7]
[4,-1,2,6,3,8,5,7]=>[-1,8,2,-4,3,-6,5,7]
[5,-1,6,2,3,8,4,7]=>[-6,8,-1,2,3,-5,4,7]
[6,-1,5,2,3,8,4,7]=>[-1,-5,2,8,3,-6,4,7]
[7,-1,5,2,8,3,4,6]=>[-1,-7,-5,8,2,3,4,6]
[8,-1,5,2,7,3,4,6]=>[5,-1,-8,7,2,3,4,6]
[-1,8,5,2,7,3,4,6]=>[-8,7,-1,-5,2,3,4,6]
[-1,8,6,7,2,3,4,5]=>[-1,8,6,2,3,7,4,5]
[8,-1,6,7,2,3,4,5]=>[-1,8,2,3,6,7,4,5]
[7,-1,6,8,2,3,4,5]=>[7,-1,2,3,6,8,4,5]
[6,-1,7,8,2,3,4,5]=>[-1,6,7,2,3,8,4,5]
[5,-1,7,2,8,3,4,6]=>[7,8,-1,-5,2,3,4,6]
[4,-1,2,7,8,3,5,6]=>[-1,2,7,-4,3,8,5,6]
[3,2,-1,7,8,4,5,6]=>[-2,-7,-3,-1,4,8,5,6]
[3,2,8,7,-1,4,5,6]=>[-8,-2,-3,-1,4,7,5,6]
[4,8,2,7,-1,3,5,6]=>[-4,2,8,-1,3,7,5,6]
[5,8,7,2,-1,3,4,6]=>[-8,-5,2,7,-1,3,4,6]
[6,8,7,-1,2,3,4,5]=>[-1,2,8,6,3,7,4,5]
[7,8,6,-1,2,3,4,5]=>[-1,2,7,8,3,6,4,5]
[8,7,6,-1,2,3,4,5]=>[-1,8,2,7,3,6,4,5]
[-1,7,6,8,2,3,4,5]=>[7,-1,6,2,3,8,4,5]
[-1,6,7,8,2,3,4,5]=>[-1,6,2,3,7,8,4,5]
[8,6,7,-1,2,3,4,5]=>[-1,2,3,8,6,7,4,5]
[7,6,8,-1,2,3,4,5]=>[-1,2,7,3,6,8,4,5]
[6,7,8,-1,2,3,4,5]=>[-1,2,3,6,7,8,4,5]
[5,7,8,2,-1,3,4,6]=>[7,-5,2,-1,3,8,4,6]
[4,7,2,8,-1,3,5,6]=>[-4,7,2,-1,3,8,5,6]
[3,2,7,8,-1,4,5,6]=>[-2,-3,-1,4,7,8,5,6]
[3,2,6,8,4,-1,5,7]=>[-2,4,-6,8,-3,-1,5,7]
[4,6,2,8,3,-1,5,7]=>[8,2,-6,3,-4,-1,5,7]
[5,6,8,2,3,-1,4,7]=>[2,6,-5,8,3,-1,4,7]
[6,5,8,2,3,-1,4,7]=>[5,2,-6,8,3,-1,4,7]
[7,5,8,2,-1,3,4,6]=>[-7,5,2,8,-1,3,4,6]
[8,5,7,2,-1,3,4,6]=>[-8,-5,2,-1,3,7,4,6]
[-1,5,7,2,8,3,4,6]=>[7,-1,-5,8,2,3,4,6]
[-1,4,2,7,8,3,5,6]=>[7,-1,2,-4,3,8,5,6]
[8,4,2,7,-1,3,5,6]=>[-4,8,-2,-1,3,7,5,6]
[7,4,2,8,-1,3,5,6]=>[7,-4,-2,-1,3,8,5,6]
[6,4,2,8,3,-1,5,7]=>[8,-2,3,-6,-4,-1,5,7]
[5,4,2,3,8,-1,6,7]=>[-4,2,3,-5,-1,8,6,7]
[4,5,2,3,8,-1,6,7]=>[5,2,3,-4,-1,8,6,7]
[3,2,5,4,8,-1,6,7]=>[-2,4,-3,-5,-1,8,6,7]
[3,2,5,4,-1,8,6,7]=>[-2,4,-3,-5,-8,-1,6,7]
[4,5,2,3,-1,8,6,7]=>[5,2,3,-4,-8,-1,6,7]
[5,4,2,3,-1,8,6,7]=>[-4,2,3,-5,-8,-1,6,7]
[6,4,2,-1,3,8,5,7]=>[-8,-4,-2,-1,3,-6,5,7]
[7,4,2,-1,8,3,5,6]=>[8,-2,-7,-4,-1,3,5,6]
[8,4,2,-1,7,3,5,6]=>[-8,7,-2,-1,-4,3,5,6]
[-1,4,2,8,7,3,5,6]=>[7,-1,-8,2,-4,3,5,6]
[-1,5,8,2,7,3,4,6]=>[8,-1,2,-5,3,7,4,6]
[8,5,-1,2,7,3,4,6]=>[-1,-8,5,7,2,3,4,6]
[7,5,-1,2,8,3,4,6]=>[5,-7,-1,8,2,3,4,6]
[6,5,-1,2,3,8,4,7]=>[5,-1,2,8,3,-6,4,7]
[5,6,-1,2,3,8,4,7]=>[-1,6,2,8,3,-5,4,7]
[4,6,2,-1,3,8,5,7]=>[8,-4,2,-1,3,-6,5,7]
[3,2,6,-1,4,8,5,7]=>[-2,-3,-1,8,4,-6,5,7]
[3,2,7,-1,8,4,5,6]=>[-2,-7,-3,8,-1,4,5,6]
[4,7,2,-1,8,3,5,6]=>[-7,8,2,-1,-4,3,5,6]
[5,7,-1,2,8,3,4,6]=>[-1,-5,7,8,2,3,4,6]
[6,7,-1,8,2,3,4,5]=>[-1,6,7,8,2,3,4,5]
[7,6,-1,8,2,3,4,5]=>[7,-1,6,8,2,3,4,5]
[8,6,-1,7,2,3,4,5]=>[6,-1,8,7,2,3,4,5]
[-1,6,8,7,2,3,4,5]=>[8,6,-1,2,3,7,4,5]
[-1,7,8,6,2,3,4,5]=>[7,8,-1,2,3,6,4,5]
[8,7,-1,6,2,3,4,5]=>[-8,-1,2,7,3,6,4,5]
[7,8,-1,6,2,3,4,5]=>[7,-1,2,8,3,6,4,5]
[6,8,-1,7,2,3,4,5]=>[-6,-1,2,8,3,7,4,5]
[5,8,-1,2,7,3,4,6]=>[-1,2,8,-5,3,7,4,6]
[4,8,2,-1,7,3,5,6]=>[8,7,2,-1,-4,3,5,6]
[3,2,8,-1,7,4,5,6]=>[-2,-3,-8,-1,4,7,5,6]
[3,2,-1,8,7,4,5,6]=>[-2,-7,-8,-3,-1,4,5,6]
[4,-1,2,8,7,3,5,6]=>[-1,2,-8,7,-4,3,5,6]
[5,-1,8,2,7,3,4,6]=>[-8,-1,-5,7,2,3,4,6]
[6,-1,8,7,2,3,4,5]=>[8,6,-1,7,2,3,4,5]
[7,-1,8,6,2,3,4,5]=>[7,8,-1,6,2,3,4,5]
[8,-1,7,6,2,3,4,5]=>[-8,7,-1,2,3,6,4,5]
[-1,8,7,6,2,3,4,5]=>[-8,7,-1,6,2,3,4,5]
[1,5,4,3,6,7,8,2]=>[1,-3,-4,6,7,8,-5,2]
[8,7,3,5,4,6,2,1]=>[3,4,-5,6,2,-7,-8,1]
[8,7,5,4,3,6,2,1]=>[-6,-3,-4,-7,2,-8,-5,1]
[7,8,3,5,4,6,1,2]=>[5,8,-7,3,4,6,1,2]
[8,6,3,7,5,2,4,1]=>[-5,-7,-8,-3,2,4,-6,1]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,-8,7]
[2,1,3,4,5,6,7,8]=>[-2,1,3,4,5,6,7,8]
[7,1,2,3,4,5,8,6]=>[1,2,3,8,4,5,-7,6]
[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,5,-7,6]
[2,7,1,3,4,5,6,8]=>[-2,1,3,4,7,5,6,8]
[1,2,7,3,4,5,8,6]=>[-8,1,2,3,4,5,-7,6]
[6,7,1,2,3,4,8,5]=>[1,2,7,8,3,4,-6,5]
[5,1,2,3,4,6,8,7]=>[1,2,5,3,4,6,-8,7]
[2,1,3,8,4,5,6,7]=>[-8,-2,1,3,4,5,6,7]
[2,7,8,1,3,4,5,6]=>[-2,1,3,4,7,8,5,6]
[2,6,1,3,4,5,7,8]=>[-2,1,3,6,4,5,7,8]
[1,2,3,4,6,7,8,5]=>[1,2,3,4,7,8,-6,5]
[1,2,4,5,6,7,8,3]=>[1,2,5,6,7,8,-4,3]
[1,2,3,6,4,7,8,5]=>[1,2,3,-7,4,8,-6,5]
[1,2,5,3,6,7,8,4]=>[1,2,-6,3,7,8,-5,4]
[1,4,2,5,6,7,8,3]=>[1,-5,2,6,7,8,-4,3]
[1,2,3,4,7,8,5,6]=>[1,2,3,-7,4,8,5,6]
[1,2,3,6,7,4,8,5]=>[1,2,3,8,-7,4,-6,5]
[1,2,5,6,3,7,8,4]=>[1,2,7,-6,3,8,-5,4]
[1,2,3,7,4,5,8,6]=>[1,2,-8,3,4,5,-7,6]
[1,4,5,2,6,7,8,3]=>[1,6,-5,2,7,8,-4,3]
[1,2,6,3,4,7,8,5]=>[1,-7,2,3,4,8,-6,5]
[3,4,1,5,6,7,8,2]=>[5,-4,1,6,7,8,-3,2]
[1,5,2,3,6,7,8,4]=>[-6,1,2,3,7,8,-5,4]
[4,1,2,5,6,7,8,3]=>[5,1,2,6,7,8,-4,3]
[7,1,2,3,4,5,6,8]=>[1,2,3,4,7,5,6,8]
[5,1,2,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]
[4,2,6,1,7,3,5,8]=>[-6,-2,7,1,-4,3,5,8]
[2,4,6,1,3,5,8,7]=>[-2,4,1,6,3,5,-8,7]
[2,4,1,6,3,5,8,7]=>[-2,6,1,-4,3,5,-8,7]
[2,4,6,1,8,3,5,7]=>[-2,6,1,8,-4,3,5,7]
[2,4,1,6,8,3,5,7]=>[-2,6,1,-4,3,8,5,7]
[2,4,1,6,3,8,5,7]=>[-2,8,1,-4,3,-6,5,7]
[3,2,1,6,5,8,7,-4]=>[-2,-3,5,1,7,-6,-8,-4]
[3,2,6,1,4,8,7,-5]=>[-2,6,-3,1,7,4,-8,-5]
[3,2,5,4,1,8,7,-6]=>[-2,4,-3,-5,7,1,-8,-6]
[3,2,5,4,8,1,6,-7]=>[-2,4,-3,8,-5,1,6,-7]
[3,2,5,4,7,6,1,-8]=>[-2,4,-3,6,-5,-7,1,-8]
[4,5,2,3,7,6,1,-8]=>[5,2,3,6,-4,-7,1,-8]
[4,5,2,3,8,1,6,-7]=>[5,2,3,8,-4,1,6,-7]
[4,5,2,3,1,8,7,-6]=>[5,2,3,-4,7,1,-8,-6]
[4,6,2,1,3,8,7,-5]=>[-4,-6,2,1,7,3,-8,-5]
[1,6,5,4,3,8,7,-2]=>[3,1,-4,-5,7,-6,-8,-2]
[6,1,5,4,2,8,7,-3]=>[-4,1,2,-5,7,-6,-8,-3]
[6,5,1,3,2,8,7,-4]=>[3,-5,1,2,7,-6,-8,-4]
[6,4,3,1,2,8,7,-5]=>[-4,3,-6,1,7,2,-8,-5]
[5,4,3,2,1,8,7,-6]=>[-2,-3,-4,-5,7,1,-8,-6]
[5,4,3,2,8,1,6,-7]=>[-2,-3,-4,8,-5,1,6,-7]
[5,4,3,2,7,6,1,-8]=>[-2,-3,-4,6,-5,-7,1,-8]
[6,4,3,7,2,5,1,-8]=>[-7,-3,-6,2,5,-4,1,-8]
[6,4,3,8,2,1,5,-7]=>[-8,-3,2,-6,-4,1,5,-7]
[7,4,3,8,1,2,5,-6]=>[-4,-7,3,8,1,2,5,-6]
[7,4,3,1,8,2,6,-5]=>[-8,-3,-4,1,-7,6,2,-5]
[7,5,1,3,8,2,6,-4]=>[3,-5,1,8,-7,6,2,-4]
[7,1,5,4,8,2,6,-3]=>[-4,8,1,-7,-5,6,2,-3]
[1,7,5,4,8,3,6,-2]=>[8,1,-4,-7,3,6,-5,-2]
[1,8,5,4,7,6,3,-2]=>[6,1,-4,3,-7,-5,-8,-2]
[8,1,5,4,7,6,2,-3]=>[-4,1,6,-5,2,-7,-8,-3]
[8,5,1,3,7,6,2,-4]=>[-5,3,6,1,2,-7,-8,-4]
[8,4,3,1,7,6,2,-5]=>[-3,-6,1,-7,-4,2,-8,-5]
[8,4,3,7,1,5,2,-6]=>[-3,-7,-8,5,1,-4,2,-6]
[8,4,3,6,5,1,2,-7]=>[-6,-4,3,5,-8,1,2,-7]
[7,4,3,6,5,2,1,-8]=>[-5,-3,2,-6,-4,-7,1,-8]
[7,5,6,3,4,2,1,-8]=>[6,3,4,2,-5,-7,1,-8]
[8,5,6,3,4,1,2,-7]=>[-8,5,6,3,4,1,2,-7]
[8,5,7,3,1,4,2,-6]=>[-7,-3,-5,4,1,2,-8,-6]
[8,6,7,1,3,4,2,-5]=>[6,7,1,3,4,2,-8,-5]
[8,6,1,7,3,5,2,-4]=>[3,-7,1,5,-8,2,-6,-4]
[8,1,6,7,4,5,2,-3]=>[1,7,4,5,-6,2,-8,-3]
[1,8,6,7,4,5,3,-2]=>[-7,1,4,5,3,-6,-8,-2]
[1,7,6,8,4,3,5,-2]=>[1,4,-8,-6,3,5,-7,-2]
[7,1,6,8,4,2,5,-3]=>[8,4,1,-6,-7,5,2,-3]
[7,6,1,8,3,2,5,-4]=>[-3,-8,1,-6,-7,5,2,-4]
[7,6,8,1,3,2,4,-5]=>[-6,8,3,1,-7,2,4,-5]
[7,5,8,3,1,2,4,-6]=>[5,8,-7,3,1,2,4,-6]
[6,5,8,3,2,1,4,-7]=>[-3,-5,-8,-6,2,1,4,-7]
[6,5,7,3,2,4,1,-8]=>[3,-7,-5,2,4,-6,1,-8]
[5,6,7,2,3,4,1,-8]=>[5,6,7,3,4,-2,1,-8]
[5,6,8,2,3,1,4,-7]=>[2,8,6,-5,3,1,4,-7]
[5,7,8,2,1,3,4,-6]=>[-5,-7,2,8,1,3,4,-6]
[4,7,2,1,8,3,6,-5]=>[2,-8,-7,1,-4,6,3,-5]
[4,7,2,8,1,3,5,-6]=>[-7,-4,2,8,1,3,5,-6]
[4,6,2,8,3,1,5,-7]=>[2,-8,-6,3,-4,1,5,-7]
[4,6,2,7,3,5,1,-8]=>[7,2,3,-6,5,-4,1,-8]
[3,2,6,7,4,5,1,-8]=>[-2,-3,7,4,5,-6,1,-8]
[3,2,6,8,4,1,5,-7]=>[-2,8,4,-6,-3,1,5,-7]
[3,2,7,8,1,4,5,-6]=>[-2,-3,7,8,1,4,5,-6]
[3,2,7,1,8,4,6,-5]=>[-2,8,-3,1,-7,6,4,-5]
[3,2,1,7,8,5,6,-4]=>[-2,-3,1,8,5,6,-7,-4]
[1,4,3,8,7,6,5,-2]=>[3,1,5,-4,-6,-7,-8,-2]
[4,1,2,8,7,6,5,-3]=>[-4,1,5,2,-6,-7,-8,-3]
[3,2,1,8,7,6,5,-4]=>[-2,-3,5,1,-6,-7,-8,-4]
[3,2,8,1,7,6,4,-5]=>[-2,6,-3,1,4,-7,-8,-5]
[3,2,8,7,1,5,4,-6]=>[-2,-3,5,-7,1,4,-8,-6]
[3,2,8,6,5,1,4,-7]=>[-2,-3,-6,5,-8,1,4,-7]
[3,2,7,6,5,4,1,-8]=>[-2,4,-3,-5,-6,-7,1,-8]
[4,7,2,6,5,3,1,-8]=>[-5,2,3,-6,-4,-7,1,-8]
[4,8,2,6,5,1,3,-7]=>[6,-4,2,5,-8,1,3,-7]
[4,8,2,7,1,5,3,-6]=>[-7,2,5,-8,1,-4,3,-6]
[4,8,2,1,7,6,3,-5]=>[2,-6,1,-7,-4,3,-8,-5]
[5,8,1,2,7,6,3,-4]=>[-7,6,1,2,3,-5,-8,-4]
[5,1,8,2,7,6,4,-3]=>[-6,1,2,4,-7,-5,-8,-3]
[1,5,8,3,7,6,4,-2]=>[6,1,3,4,-7,-5,-8,-2]
[1,6,8,7,3,5,4,-2]=>[1,5,-7,3,4,-6,-8,-2]
[6,1,8,7,2,5,4,-3]=>[-5,1,-7,-6,4,2,-8,-3]
[6,8,1,7,2,5,3,-4]=>[-7,5,1,-8,2,3,-6,-4]
[6,8,7,1,2,4,3,-5]=>[7,-6,1,4,2,3,-8,-5]
[5,8,7,2,1,4,3,-6]=>[-4,-5,-7,2,1,3,-8,-6]
[5,8,6,2,4,1,3,-7]=>[5,6,2,-8,4,1,3,-7]
[5,7,6,2,4,3,1,-8]=>[4,-6,2,3,-5,-7,1,-8]
[6,7,5,4,2,3,1,-8]=>[4,-5,-7,2,3,-6,1,-8]
[6,8,5,4,2,1,3,-7]=>[-4,-5,-6,-8,2,1,3,-7]
[7,8,5,4,1,2,3,-6]=>[-8,5,-7,1,4,2,3,-6]
[7,8,6,1,4,2,3,-5]=>[6,-8,1,4,-7,2,3,-5]
[7,8,1,6,5,2,3,-4]=>[6,5,1,-8,-7,2,3,-4]
[7,1,8,6,5,2,4,-3]=>[-5,1,-6,-8,-7,4,2,-3]
[1,7,8,6,5,3,4,-2]=>[1,5,-6,-8,3,4,-7,-2]
[1,8,7,6,5,4,3,-2]=>[3,1,-4,-5,-6,-7,-8,-2]
[8,1,7,6,5,4,2,-3]=>[-4,1,2,-5,-6,-7,-8,-3]
[8,7,1,6,5,3,2,-4]=>[3,-5,1,2,-6,-7,-8,-4]
[8,7,6,1,4,3,2,-5]=>[-4,3,-6,1,2,-7,-8,-5]
[8,7,5,4,1,3,2,-6]=>[-4,-5,3,-7,1,2,-8,-6]
[8,6,5,4,3,1,2,-7]=>[-4,-5,-6,3,-8,1,2,-7]
[7,6,5,4,3,2,1,-8]=>[-2,-3,-4,-5,-6,-7,1,-8]
[7,8,4,5,6,1,2,3]=>[1,4,7,8,5,6,2,3]
[8,6,7,4,5,1,2,3]=>[1,8,6,7,4,5,2,3]
[8,7,6,4,5,1,2,3]=>[-8,7,1,6,4,5,2,3]
[8,7,5,6,3,4,1,2]=>[-8,7,5,6,3,4,1,2]
[4,3,8,1,7,2,5,6]=>[-3,8,1,-4,7,2,5,6]
[5,1,6,3,4,2,8,7]=>[3,-6,1,4,-5,2,-8,7]
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,-7,-8,6]
[1,2,3,6,5,7,8,4]=>[1,2,3,-5,7,8,-6,4]
[1,2,5,4,6,7,8,3]=>[1,2,-4,6,7,8,-5,3]
[1,4,3,5,6,7,8,2]=>[1,-3,5,6,7,8,-4,2]
[3,2,4,5,6,7,8,1]=>[-2,4,5,6,7,8,-3,1]
[1,2,3,4,7,8,6,5]=>[1,2,3,4,6,-8,-7,5]
[1,2,3,6,7,5,8,4]=>[1,2,3,5,-7,8,-6,4]
[1,2,5,6,4,7,8,3]=>[1,2,4,-6,7,8,-5,3]
[1,2,3,7,6,5,8,4]=>[1,2,3,-5,-6,8,-7,4]
[1,4,5,3,6,7,8,2]=>[1,3,-5,6,7,8,-4,2]
[1,2,6,5,4,7,8,3]=>[1,2,-4,-5,7,8,-6,3]
[3,4,2,5,6,7,8,1]=>[2,-4,5,6,7,8,-3,1]
[4,3,2,5,6,7,8,1]=>[-2,-3,5,6,7,8,-4,1]
[8,1,2,3,4,7,5,6]=>[1,2,3,4,-8,7,5,6]
[8,1,2,3,7,4,5,6]=>[1,2,-8,3,4,7,5,6]
[8,1,7,2,3,4,5,6]=>[1,8,2,3,4,7,5,6]
[6,1,2,3,4,7,8,5]=>[1,2,7,3,4,8,-6,5]
[5,1,2,3,8,7,4,6]=>[1,2,7,3,-8,-5,4,6]
[8,1,2,3,6,7,4,5]=>[1,2,-8,3,6,7,4,5]
[8,1,2,5,7,3,4,6]=>[-8,1,2,5,3,7,4,6]
[7,1,4,8,2,3,5,6]=>[7,1,4,2,3,8,5,6]
[4,1,2,5,8,7,3,6]=>[5,1,2,-4,-8,7,3,6]
[3,1,4,8,7,2,5,6]=>[-4,1,-8,-3,2,7,5,6]
[7,1,8,5,2,3,4,6]=>[7,8,5,1,2,3,4,6]
[7,1,2,5,6,3,8,4]=>[1,2,6,8,-5,3,-7,4]
[8,1,4,5,2,7,3,6]=>[1,5,-4,2,-8,7,3,6]
[8,1,2,5,6,7,3,4]=>[1,-5,2,8,6,7,3,4]
[8,1,4,5,7,2,3,6]=>[-4,1,5,8,2,7,3,6]
[3,4,1,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]
[3,2,1,4,5,6,7,8]=>[-2,-3,1,4,5,6,7,8]
[4,5,6,1,2,3,7,8]=>[1,4,5,6,2,3,7,8]
[4,2,5,1,3,6,7,8]=>[-4,-2,5,1,3,6,7,8]
[5,6,3,4,1,2,7,8]=>[5,6,3,4,1,2,7,8]
[5,4,3,2,1,6,7,8]=>[-2,-3,-4,-5,1,6,7,8]
[6,7,3,4,8,1,2,5]=>[3,6,7,4,1,8,2,5]
[6,4,3,2,7,1,5,8]=>[-2,-3,-6,-4,7,1,5,8]
[6,5,4,3,2,1,7,8]=>[-2,-3,-4,-5,-6,1,7,8]
[3,2,6,1,5,4,8,7]=>[-2,-3,5,1,-6,4,-8,7]
[5,2,4,3,7,6,8,1]=>[2,3,-4,6,-5,8,-7,1]
[5,2,4,3,8,1,7,6]=>[2,3,-4,-5,7,1,-8,6]
[5,2,4,3,6,1,8,7]=>[2,3,-4,6,-5,1,-8,7]
[6,2,4,1,5,3,8,7]=>[2,-4,5,1,-6,3,-8,7]
[6,1,5,2,4,3,8,7]=>[1,-5,4,2,-6,3,-8,7]
[4,3,6,1,5,2,8,7]=>[-6,-3,5,1,-4,2,-8,7]
[4,3,5,2,8,1,7,6]=>[-5,2,-3,-4,7,1,-8,6]
[4,3,7,2,6,5,8,1]=>[-6,-3,2,5,-4,8,-7,1]
[4,3,8,2,6,1,7,5]=>[6,-3,2,7,-4,1,-8,5]
[4,3,8,1,7,2,6,5]=>[7,-3,1,6,-4,2,-8,5]
[4,3,8,1,5,2,7,6]=>[7,-3,5,1,-4,2,-8,6]
[5,1,8,3,4,2,7,6]=>[-7,3,1,4,-5,2,-8,6]
[5,4,8,1,3,2,7,6]=>[-4,3,7,1,-5,2,-8,6]
[2,1,5,4,8,3,7,6]=>[-2,1,-4,-5,7,3,-8,6]
[5,1,7,6,8,3,4,2]=>[8,-6,-5,1,3,4,-7,2]
[4,3,7,6,8,1,5,2]=>[-6,-3,-4,8,5,1,-7,2]
[4,3,7,1,8,5,6,2]=>[-8,-3,5,-4,1,6,-7,2]
[4,3,6,5,8,1,7,2]=>[-5,8,-3,-4,7,1,-6,2]
[6,3,5,4,7,2,8,1]=>[4,7,-3,2,-5,8,-6,1]
[6,3,5,4,8,1,7,2]=>[4,8,-3,-5,7,1,-6,2]
[7,1,6,3,8,4,5,2]=>[1,-8,3,-6,4,5,-7,2]
[7,1,6,5,8,3,4,2]=>[1,-5,-6,8,3,4,-7,2]
[7,4,6,5,8,1,3,2]=>[4,5,-6,8,3,1,-7,2]
[2,1,7,4,6,5,8,3]=>[-2,-4,1,5,-6,8,-7,3]
[2,1,8,4,6,3,7,5]=>[-2,-4,1,-6,7,3,-8,5]
[8,4,6,1,3,2,7,5]=>[4,7,3,-6,1,2,-8,5]
[8,1,6,3,4,2,7,5]=>[1,-7,3,-6,4,2,-8,5]
[8,1,6,3,7,2,5,4]=>[-7,3,-6,1,5,2,-8,4]
[8,3,5,1,7,2,6,4]=>[7,-3,1,-5,6,2,-8,4]
[8,3,5,2,6,1,7,4]=>[6,-3,2,-5,7,1,-8,4]
[7,3,5,2,6,4,8,1]=>[6,-3,2,4,-5,8,-7,1]
[8,2,6,3,5,1,7,4]=>[5,-2,3,-6,7,1,-8,4]
[8,2,7,1,5,3,6,4]=>[5,2,6,-7,1,3,-8,4]
[8,1,7,2,6,3,5,4]=>[-6,1,2,-7,5,3,-8,4]
[8,1,7,2,4,3,6,5]=>[-6,1,4,-7,2,3,-8,5]
[8,1,3,2,7,4,6,5]=>[-6,3,1,-7,2,4,-8,5]
[2,1,8,3,7,4,6,5]=>[-6,-2,1,-7,3,4,-8,5]
[8,1,5,2,4,3,7,6]=>[1,-5,4,-7,2,3,-8,6]
[8,2,4,1,5,3,7,6]=>[2,-4,5,-7,1,3,-8,6]
[8,2,4,1,7,3,6,5]=>[2,-4,1,-7,6,3,-8,5]
[8,2,4,3,6,1,7,5]=>[2,-4,3,-6,7,1,-8,5]
[7,2,4,3,6,5,8,1]=>[2,-4,3,5,-6,8,-7,1]
[3,2,7,4,6,5,8,1]=>[-2,-3,4,5,-6,8,-7,1]
[3,2,8,4,6,1,7,5]=>[-2,-3,4,-6,7,1,-8,5]
[3,2,8,1,7,4,6,5]=>[-2,-3,1,-7,6,4,-8,5]
[3,2,8,1,5,4,7,6]=>[-2,-3,5,-7,1,4,-8,6]
[3,2,4,1,8,5,7,6]=>[-2,4,-3,-7,1,5,-8,6]
[3,2,7,6,8,1,5,4]=>[-2,-3,-6,8,5,1,-7,4]
[3,2,7,1,8,5,6,4]=>[-2,-3,5,-8,1,6,-7,4]
[3,2,6,5,8,1,7,4]=>[-2,8,-3,-5,7,1,-6,4]
[6,5,7,2,4,3,8,1]=>[-7,4,2,3,-5,8,-6,1]
[6,5,8,2,4,1,7,3]=>[-8,2,4,7,-5,1,-6,3]
[7,2,4,1,8,5,6,3]=>[2,-4,5,-8,1,6,-7,3]
[7,6,8,2,4,1,5,3]=>[8,2,4,-6,5,1,-7,3]
[7,6,8,1,5,2,4,3]=>[8,1,5,-6,4,2,-7,3]
[7,6,8,1,3,2,5,4]=>[8,3,5,-6,1,2,-7,4]
[2,1,7,3,8,5,6,4]=>[-2,-5,1,-8,3,6,-7,4]
[7,1,3,2,8,5,6,4]=>[3,-5,1,-8,2,6,-7,4]
[7,1,8,5,6,2,4,3]=>[5,6,-8,1,4,2,-7,3]
[7,1,8,2,6,4,5,3]=>[6,4,1,-8,2,5,-7,3]
[7,2,8,1,5,4,6,3]=>[5,-2,4,-8,1,6,-7,3]
[6,2,7,4,5,3,8,1]=>[2,-4,5,3,-7,8,-6,1]
[5,4,7,2,6,3,8,1]=>[-6,-7,2,3,-4,8,-5,1]
[5,4,8,2,6,1,7,3]=>[6,-8,2,7,-4,1,-5,3]
[6,5,8,1,7,2,4,3]=>[-8,7,1,-5,4,2,-6,3]
[2,1,6,5,8,3,7,4]=>[-2,1,-8,-5,7,3,-6,4]
[6,5,7,4,8,1,3,2]=>[-7,4,-5,8,3,1,-6,2]
[6,5,7,1,8,3,4,2]=>[-7,8,3,-5,1,4,-6,2]
[6,1,7,4,8,3,5,2]=>[-8,-4,-7,1,3,5,-6,2]
[5,4,7,1,8,3,6,2]=>[8,-7,3,1,-4,6,-5,2]
[5,4,6,3,8,1,7,2]=>[-3,8,-6,-4,7,1,-5,2]
[3,8,2,7,1,6,5,4]=>[6,2,-3,5,1,-7,-8,4]
[3,8,2,7,6,1,5,4]=>[6,2,-3,-7,5,1,-8,4]
[3,8,2,7,6,5,1,4]=>[6,2,-3,-7,-8,5,1,4]
[3,8,2,7,6,5,4,1]=>[-5,2,4,-3,-6,-7,-8,1]
[4,8,7,2,6,5,3,1]=>[-5,-6,2,3,-4,-7,-8,1]
[4,8,7,2,6,5,1,3]=>[-4,6,-7,2,-8,5,1,3]
[4,8,7,2,6,1,5,3]=>[6,-7,-4,2,5,1,-8,3]
[4,8,7,2,1,6,5,3]=>[-5,2,-6,-7,1,-4,-8,3]
[4,8,7,3,1,6,5,2]=>[-3,5,-6,-7,1,-4,-8,2]
[4,8,7,3,2,1,6,5]=>[2,-6,-3,-7,-4,1,-8,5]
[4,8,7,3,2,6,1,5]=>[-3,-7,-8,2,-4,6,1,5]
[4,8,7,3,2,6,5,1]=>[-3,2,-6,-7,5,-4,-8,1]
[4,8,7,3,6,2,5,1]=>[3,-7,-4,6,2,5,-8,1]
[4,8,7,3,6,2,1,5]=>[-7,-3,2,6,-8,-4,1,5]
[4,8,7,3,6,1,5,2]=>[3,-7,-4,6,5,1,-8,2]
[4,8,7,3,6,5,1,2]=>[-4,-7,6,3,-8,5,1,2]
[4,8,7,3,6,5,2,1]=>[-3,-6,5,2,-4,-7,-8,1]
[5,8,7,6,3,4,2,1]=>[3,-6,-5,4,2,-7,-8,1]
[5,8,7,6,3,1,4,2]=>[-3,-6,-5,-7,4,1,-8,2]
[5,8,7,6,3,2,4,1]=>[-3,-6,-5,-7,2,4,-8,1]
[5,8,7,6,2,4,3,1]=>[4,-6,-5,2,3,-7,-8,1]
[5,8,7,6,2,4,1,3]=>[5,-7,6,-8,2,4,1,3]
[5,8,7,6,2,1,4,3]=>[-4,-6,-5,-7,2,1,-8,3]
[5,8,7,6,4,2,3,1]=>[4,-6,-5,-7,2,3,-8,1]
[5,8,7,6,4,2,1,3]=>[-4,-6,-5,-7,-8,2,1,3]
[5,8,7,6,4,1,3,2]=>[4,-6,-5,-7,3,1,-8,2]
[5,8,7,6,4,3,1,2]=>[4,-6,-5,-7,-8,3,1,2]
[5,8,7,6,4,3,2,1]=>[2,-3,-4,-6,-5,-7,-8,1]
[7,6,4,5,3,2,1,8]=>[-5,3,2,-4,-6,-7,1,8]
[1,8,7,5,6,4,3,2]=>[-4,-6,1,3,-5,-7,-8,2]
[7,6,4,3,5,2,1,8]=>[-5,-3,-6,2,-7,-4,1,8]
[7,6,3,5,4,2,1,8]=>[-3,4,2,-5,-6,-7,1,8]
[1,8,7,5,4,6,3,2]=>[1,-6,-4,-7,3,-8,-5,2]
[1,8,7,4,6,5,3,2]=>[-5,-4,1,3,-6,-7,-8,2]
[7,5,4,3,6,2,1,8]=>[-6,-3,-4,2,-7,-5,1,8]
[7,6,3,4,5,2,1,8]=>[6,4,5,2,-3,-7,1,8]
[1,8,6,5,4,7,3,2]=>[1,-7,-4,-5,3,-8,-6,2]
[1,8,7,4,5,6,3,2]=>[-4,5,1,6,3,-7,-8,2]
[1,8,4,7,6,5,3,2]=>[-5,1,3,-4,-6,-7,-8,2]
[8,3,5,7,2,4,1,6]=>[8,5,2,7,4,-3,1,6]
[2,3,4,1,7,8,5,6]=>[3,4,-2,-7,1,8,5,6]
[2,3,4,1,5,8,6,7]=>[3,4,-2,1,-8,5,6,7]
[8,1,4,7,3,6,2,5]=>[1,-4,3,-8,7,6,2,5]
[6,3,7,5,2,8,1,4]=>[5,2,-7,-6,-3,8,1,4]
[6,5,2,7,4,8,1,3]=>[-7,-5,-2,-6,4,8,1,3]
[5,7,1,4,8,3,2,6]=>[4,1,8,-7,3,-5,2,6]
[7,8,3,5,1,4,6,2]=>[-3,5,8,4,1,6,-7,2]
[5,8,1,4,6,7,2,3]=>[1,-5,4,8,6,7,2,3]
[6,5,8,4,3,7,2,1]=>[3,7,-4,-8,2,-5,-6,1]
[6,3,7,4,2,8,5,1]=>[-4,2,-3,-8,5,-7,-6,1]
[8,7,1,6,2,4,5,3]=>[1,-7,6,2,4,5,-8,3]
[3,8,6,7,1,4,5,2]=>[6,-8,1,7,4,5,-3,2]
[5,3,8,7,4,1,2,6]=>[7,3,-8,-5,4,1,2,6]
[4,3,8,7,1,5,6,2]=>[-7,-3,-8,1,5,6,-4,2]
[8,3,6,1,2,5,7,4]=>[3,1,6,5,2,7,-8,4]
[5,6,1,8,7,3,2,4]=>[-7,3,-6,-5,-8,1,2,4]
[6,3,5,2,1,4,8,7]=>[2,5,-6,-3,1,4,-8,7]
[4,3,5,6,2,1,8,7]=>[-5,6,2,-3,-4,1,-8,7]
[6,3,5,7,2,8,4,1]=>[7,8,2,-3,4,-5,-6,1]
[8,5,2,7,4,3,1,6]=>[-2,-4,-7,-8,3,-5,1,6]
[4,5,3,6,1,2,8,7]=>[5,-4,3,6,1,2,-8,7]
[3,5,1,4,6,2,8,7]=>[-5,4,1,6,-3,2,-8,7]
[8,3,4,5,7,2,1,6]=>[5,8,2,7,-4,-3,1,6]
[6,3,4,5,7,8,2,1]=>[4,5,7,8,2,-6,-3,1]
[5,7,4,6,3,8,2,1]=>[-6,3,8,-4,2,-7,-5,1]
[2,8,4,6,3,7,1,5]=>[-2,-4,6,-8,3,7,1,5]
[8,3,4,7,5,1,2,6]=>[3,4,-8,7,5,1,2,6]
[8,5,1,4,7,3,2,6]=>[4,1,7,3,-8,-5,2,6]
[2,1,8,5,7,4,3,6]=>[-7,-2,1,4,-8,-5,3,6]
[2,1,6,5,7,8,4,3]=>[-2,1,-7,8,4,-5,-6,3]
[6,5,3,7,1,8,4,2]=>[-8,-3,4,-7,1,-5,-6,2]
[6,5,1,4,7,8,3,2]=>[-4,7,1,8,3,-5,-6,2]
[6,3,4,7,5,8,1,2]=>[7,3,4,-6,5,8,1,2]
[5,7,4,8,3,6,1,2]=>[-7,4,-5,8,3,6,1,2]
[5,1,4,6,8,3,7,2]=>[6,1,8,-4,3,7,-5,2]
[2,5,4,6,7,3,8,1]=>[6,-2,7,3,-4,8,-5,1]
[4,7,1,3,5,8,6,2]=>[8,1,3,5,6,-4,-7,2]
[3,8,6,4,1,7,2,5]=>[-4,7,-8,-3,-6,1,2,5]
[3,8,1,2,5,7,6,4]=>[3,1,2,5,6,-7,-8,4]
[2,8,7,5,4,1,3,6]=>[-2,-7,-8,-5,4,1,3,6]
[8,7,2,6,4,1,3,5]=>[7,6,-8,2,4,1,3,5]
[3,8,6,7,4,2,1,5]=>[7,4,2,-6,-8,-3,1,5]
[5,7,6,8,4,2,3,1]=>[8,-6,4,-5,2,3,-7,1]
[5,3,7,8,2,4,6,1]=>[-2,-5,7,8,4,6,-3,1]
[8,3,6,2,1,4,7,5]=>[2,-6,7,-3,1,4,-8,5]
[5,3,7,6,2,1,8,4]=>[-8,2,-3,-6,-5,1,-7,4]
[5,3,6,2,8,7,1,4]=>[6,2,-5,-3,-8,7,1,4]
[4,3,5,6,7,8,2,1]=>[-5,6,7,8,2,-3,-4,1]
[5,7,8,6,4,2,1,3]=>[2,-6,-8,-5,-7,4,1,3]
[2,6,7,5,4,8,1,3]=>[-2,5,-7,-6,4,8,1,3]
[6,1,7,4,5,8,2,3]=>[7,4,-6,1,5,8,2,3]
[6,7,3,5,1,8,2,4]=>[-7,3,5,8,-6,1,2,4]
[2,1,6,7,5,8,3,4]=>[-2,-7,1,-6,5,8,3,4]
[2,1,5,7,3,6,8,4]=>[-2,1,-7,6,3,8,-5,4]
[5,7,3,6,1,2,8,4]=>[-7,6,3,8,1,2,-5,4]
[4,1,7,2,5,6,8,3]=>[1,5,-7,2,6,8,-4,3]
[2,4,7,1,6,5,8,3]=>[6,-2,5,1,-4,8,-7,3]
[4,6,2,1,8,7,5,3]=>[2,-5,-7,1,-4,-6,-8,3]
[3,4,6,2,7,8,5,1]=>[7,2,-4,8,5,-3,-6,1]
[4,6,1,2,5,8,7,3]=>[6,1,5,2,7,-4,-8,3]
[5,6,1,4,8,2,7,3]=>[4,8,1,-6,7,2,-5,3]
[5,6,3,1,8,7,2,4]=>[-3,-6,7,-5,-8,1,2,4]
[4,5,3,6,7,8,1,2]=>[5,-4,3,6,7,8,1,2]
[3,5,6,4,7,1,8,2]=>[4,7,-6,8,-3,1,-5,2]
[3,4,6,1,5,7,8,2]=>[6,-4,5,1,7,8,-3,2]
[3,4,1,5,7,6,8,2]=>[5,-4,1,6,-3,8,-7,2]
[8,4,3,6,5,1,7,2]=>[-5,-3,7,-6,-8,1,-4,2]
[8,5,6,3,4,1,7,2]=>[6,3,4,-5,7,1,-8,2]
[8,6,5,4,3,1,7,2]=>[-7,-3,-4,-5,-8,1,-6,2]
[1,7,6,5,4,2,3,8]=>[-4,-5,-6,-7,1,2,3,8]
[1,8,6,5,2,7,3,4]=>[-7,-5,-8,1,-6,2,3,4]
[8,7,5,4,1,6,3,2]=>[-3,-6,-4,-7,1,-8,-5,2]
[7,8,5,4,1,3,6,2]=>[-5,-8,4,3,1,6,-7,2]
[6,8,5,4,2,1,7,3]=>[2,-7,-4,-8,-5,1,-6,3]
[4,8,2,6,5,1,7,3]=>[-5,2,7,-6,-8,1,-4,3]
[3,2,8,6,5,1,7,4]=>[-2,7,-3,-5,-8,1,-6,4]
[3,2,1,7,6,4,5,8]=>[-2,-3,-6,-7,1,4,5,8]
[4,1,3,7,6,2,5,8]=>[3,1,-4,-7,6,2,5,8]
[5,1,7,3,6,2,4,8]=>[3,-7,-5,1,6,2,4,8]
[7,1,6,5,2,4,3,8]=>[1,-5,-6,4,2,-7,3,8]
[8,1,6,5,2,3,7,4]=>[1,-5,-8,7,2,3,-6,4]
[1,2,7,6,3,4,5,8]=>[-6,-7,1,2,3,4,5,8]
[1,2,8,3,7,4,5,6]=>[7,1,-8,2,3,4,5,6]
[7,1,8,2,6,4,3,5]=>[-6,4,1,-8,-7,2,3,5]
[6,1,8,2,4,7,3,5]=>[8,4,1,-6,2,7,3,5]
[5,1,8,3,2,7,4,6]=>[-7,-3,-8,1,2,-5,4,6]
[4,1,3,8,2,7,5,6]=>[3,1,-4,2,-8,7,5,6]
[3,2,1,8,4,7,5,6]=>[-2,-7,-3,1,-8,4,5,6]
[3,2,8,7,1,6,5,4]=>[-2,-3,-6,5,1,-7,-8,4]
[6,8,7,1,3,5,4,2]=>[7,5,1,3,4,-6,-8,2]
[7,8,6,1,5,3,4,2]=>[6,5,1,-8,3,4,-7,2]
[8,7,6,1,5,4,3,2]=>[-4,-5,3,1,-6,-7,-8,2]
[1,8,7,2,6,5,3,4]=>[-6,5,1,-7,-8,2,3,4]
[1,7,8,2,5,6,3,4]=>[1,8,-7,2,5,6,3,4]
[8,6,7,1,4,5,3,2]=>[1,7,4,5,3,-6,-8,2]
[7,6,8,1,4,3,5,2]=>[4,8,3,-6,1,5,-7,2]
[6,5,8,3,2,1,7,4]=>[-3,-7,2,-8,-5,1,-6,4]
[7,5,8,3,1,4,6,2]=>[-8,-5,3,4,1,6,-7,2]
[8,5,7,3,1,6,4,2]=>[6,4,-3,-7,1,-8,-5,2]
[1,6,8,4,2,7,3,5]=>[1,-8,-4,7,-6,2,3,5]
[1,5,4,8,2,7,3,6]=>[-8,1,-4,2,7,-5,3,6]
[8,4,3,7,1,6,5,2]=>[-6,-7,-3,5,1,-4,-8,2]
[7,4,3,8,1,5,6,2]=>[-8,-7,-3,1,5,6,-4,2]
[5,4,3,2,8,1,7,6]=>[-2,-3,-4,-5,7,1,-8,6]
[3,2,5,4,1,6,7,8]=>[-2,4,-3,-5,1,6,7,8]
[4,5,2,3,1,6,7,8]=>[5,2,3,-4,1,6,7,8]
[6,4,3,1,5,2,7,8]=>[-5,-3,-6,1,-4,2,7,8]
[7,4,3,1,2,6,5,8]=>[-6,-4,3,1,2,-7,5,8]
[8,4,3,1,2,5,7,6]=>[7,-4,3,1,2,5,-8,6]
[1,5,4,2,3,6,7,8]=>[-4,-5,1,2,3,6,7,8]
[8,5,1,4,2,3,7,6]=>[5,-7,1,4,2,3,-8,6]
[7,5,1,4,2,6,3,8]=>[-4,6,-5,1,2,-7,3,8]
[6,5,1,4,3,2,7,8]=>[-4,3,1,-5,-6,2,7,8]
[5,6,1,3,4,2,7,8]=>[1,6,3,4,-5,2,7,8]
[4,6,2,1,5,3,7,8]=>[-5,2,-6,1,-4,3,7,8]
[3,2,6,1,5,4,7,8]=>[-2,-3,5,1,-6,4,7,8]
[3,2,7,1,4,6,5,8]=>[-2,-3,1,6,4,-7,5,8]
[4,7,2,1,3,6,5,8]=>[6,-4,2,1,3,-7,5,8]
[5,7,1,3,2,6,4,8]=>[3,6,1,-7,2,-5,4,8]
[6,7,1,2,4,5,3,8]=>[1,2,7,4,5,-6,3,8]
[7,6,1,2,5,4,3,8]=>[5,1,4,2,-6,-7,3,8]
[8,6,1,2,5,3,7,4]=>[5,1,7,-6,2,3,-8,4]
[1,7,2,3,6,4,5,8]=>[1,6,2,-7,3,4,5,8]
[8,7,1,2,3,6,5,4]=>[1,6,2,5,3,-7,-8,4]
[7,8,1,2,3,5,6,4]=>[1,2,3,8,5,6,-7,4]
[6,8,1,2,4,3,7,5]=>[1,4,7,2,-8,3,-6,5]
[5,8,1,3,2,4,7,6]=>[3,-5,7,1,2,4,-8,6]
[4,8,2,1,3,5,7,6]=>[-4,7,2,1,3,5,-8,6]
[3,2,8,1,4,5,7,6]=>[-2,-3,1,4,7,5,-8,6]
[4,1,3,2,5,6,7,8]=>[3,1,-4,2,5,6,7,8]
[5,1,2,4,3,6,7,8]=>[1,4,2,-5,3,6,7,8]
[6,1,2,3,5,4,7,8]=>[1,2,5,3,-6,4,7,8]
[7,1,2,3,4,6,5,8]=>[1,2,3,6,4,-7,5,8]
[6,7,1,2,3,4,5,8]=>[1,2,3,6,7,4,5,8]
[1,7,8,2,3,4,5,6]=>[1,2,7,3,4,8,5,6]
[6,1,7,2,3,4,5,8]=>[1,6,7,2,3,4,5,8]
[5,7,1,2,3,4,6,8]=>[1,2,5,3,7,4,6,8]
[1,6,8,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]
[6,1,2,7,3,4,5,8]=>[-6,1,7,2,3,4,5,8]
[4,7,1,2,3,5,6,8]=>[1,4,2,3,7,5,6,8]
[1,7,2,3,8,4,5,6]=>[1,8,-7,2,3,4,5,6]
[1,5,8,2,3,4,6,7]=>[5,1,2,3,4,8,6,7]
[4,3,7,1,8,2,5,6]=>[-3,7,1,8,-4,2,5,6]
[2,3,4,5,6,7,1,8]=>[3,4,5,6,7,-2,1,8]
[2,3,4,5,7,8,1,6]=>[3,4,5,-2,7,8,1,6]
[2,4,5,6,7,8,1,3]=>[-2,4,5,6,7,8,1,3]
[2,3,4,5,6,1,7,8]=>[3,4,5,6,-2,1,7,8]
[2,3,4,5,1,8,6,7]=>[3,4,5,-2,-8,1,6,7]
[2,3,1,6,7,8,4,5]=>[3,-2,-6,1,7,8,4,5]
[1,4,5,6,7,8,2,3]=>[-4,1,5,6,7,8,2,3]
[2,3,4,5,8,1,6,7]=>[3,4,5,-2,1,8,6,7]
[2,3,4,7,1,8,5,6]=>[3,4,-2,8,-7,1,5,6]
[2,3,4,5,1,6,7,8]=>[3,4,5,-2,1,6,7,8]
[2,3,6,1,7,8,4,5]=>[3,-2,7,-6,1,8,4,5]
[2,5,1,6,7,8,3,4]=>[-2,6,-5,1,7,8,3,4]
[2,3,1,4,7,8,5,6]=>[3,-2,1,-7,4,8,5,6]
[4,1,5,6,7,8,2,3]=>[5,-4,1,6,7,8,2,3]
[2,1,3,6,7,8,4,5]=>[-2,1,-6,3,7,8,4,5]
[1,2,5,6,7,8,3,4]=>[1,-5,2,6,7,8,3,4]
[-2,1,-4,3,-6,5,-8,7]=>[2,-4,1,-6,3,-8,5,7]
[3,4,1,2,-6,5,-8,7]=>[3,4,1,-6,2,-8,5,7]
[2,-4,-3,1,-6,5,-8,7]=>[3,2,4,-6,1,-8,5,7]
[-5,2,-3,6,1,4,-8,7]=>[-5,-2,6,-3,1,-8,4,7]
[2,-6,4,-3,-5,1,-8,7]=>[3,2,-6,-5,4,-8,1,7]
[-7,2,4,-3,-5,8,1,6]=>[-4,-7,2,8,-3,-5,1,6]
[2,-8,4,-3,6,-5,-7,1]=>[8,2,4,-3,-5,-7,6,1]
[5,8,2,3,6,-4,-7,1]=>[5,-4,8,2,6,-7,3,1]
[5,2,7,3,-4,8,1,6]=>[3,-7,-2,8,-5,-4,1,6]
[5,6,2,3,-4,1,-8,7]=>[5,-4,6,2,3,-8,1,7]
[2,-5,-4,6,1,3,-8,7]=>[-2,5,-4,6,1,-8,3,7]
[1,4,5,6,2,3,-8,7]=>[-4,1,5,6,2,-8,3,7]
[5,6,1,-3,2,4,-8,7]=>[5,6,-3,1,2,-8,4,7]
[-2,-5,1,6,3,4,-8,7]=>[6,2,-5,1,3,-8,4,7]
[-2,1,4,-6,-5,3,-8,7]=>[2,-5,1,4,6,-8,3,7]
[4,-6,1,-3,-5,2,-8,7]=>[1,-6,-3,-5,4,-8,2,7]
[5,6,3,1,-4,2,-8,7]=>[1,-6,-5,-4,3,-8,2,7]
[5,6,-4,3,1,2,-8,7]=>[5,-4,6,3,1,-8,2,7]
[3,2,-6,-5,-4,1,-8,7]=>[-4,3,2,5,6,-8,1,7]
[3,-7,2,-5,-4,8,1,6]=>[-3,2,-5,7,8,-4,1,6]
[3,2,-8,-5,6,-4,-7,1]=>[3,-5,8,2,-4,-7,6,1]
[7,-3,8,-6,2,5,-4,1]=>[-6,7,-4,3,8,5,2,1]
[-7,3,8,-6,2,-4,1,5]=>[6,-4,7,3,8,2,1,5]
[-4,6,7,3,1,8,2,5]=>[-7,-3,-6,8,1,-4,2,5]
[-7,3,8,-5,1,-4,2,6]=>[-5,1,7,8,-4,3,2,6]
[5,3,7,1,-4,8,2,6]=>[7,8,1,-3,-5,-4,2,6]
[-7,4,1,-3,-5,8,2,6]=>[8,1,-4,-7,-3,-5,2,6]
[-2,1,-7,4,-5,8,3,6]=>[2,1,-7,-4,8,-5,3,6]
[-2,1,4,-8,6,-5,-7,3]=>[2,-5,1,4,-8,-7,6,3]
[4,-8,1,-3,6,-5,-7,2]=>[1,-8,-3,4,-5,-7,6,2]
[5,8,3,1,6,-4,-7,2]=>[1,-8,-5,3,-4,-7,6,2]
[3,6,-8,-5,1,-4,-7,2]=>[5,8,1,6,-4,-7,3,2]
[7,-3,8,-6,5,1,-4,2]=>[-8,-7,3,5,-6,-4,1,2]
[7,8,-4,3,-6,5,1,2]=>[7,-4,8,-6,3,5,1,2]
[3,5,-8,2,-7,-4,-6,1]=>[7,3,-4,8,2,-6,5,1]
[7,8,3,4,2,-6,-5,1]=>[-6,7,3,4,-5,2,8,1]
[7,8,-3,-6,4,1,-5,2]=>[3,-8,-7,-6,4,-5,1,2]
[1,6,7,8,3,4,-5,2]=>[-6,1,7,-5,8,3,4,2]
[7,8,3,1,-6,5,-4,2]=>[1,-8,-7,-6,3,-4,5,2]
[-7,8,-3,1,4,5,-6,2]=>[3,7,-6,1,8,4,5,2]
[-2,-7,1,8,4,5,-6,3]=>[8,2,-7,-6,1,4,5,3]
[-2,1,4,-7,-6,8,3,5]=>[2,1,-4,7,-6,8,3,5]
[7,8,1,4,-6,-3,2,5]=>[-3,6,7,1,4,8,2,5]
[3,-7,8,-6,1,-4,2,5]=>[6,7,3,8,-4,1,2,5]
[3,6,7,8,-5,1,2,4]=>[1,3,5,6,7,8,2,4]
[3,8,-7,-6,-5,2,1,4]=>[3,6,2,7,-5,8,1,4]
[7,8,-3,-6,2,4,-5,1]=>[-7,-6,-5,3,8,2,4,1]
[5,6,7,8,3,4,-2,1]=>[5,6,7,8,3,-2,4,1]
[2,6,7,8,-5,3,1,4]=>[-2,6,7,8,-5,3,1,4]
[-6,2,-5,7,1,8,3,4]=>[-7,-2,-6,8,-5,1,3,4]
[-4,6,7,8,1,2,3,5]=>[4,1,2,6,7,8,3,5]
[1,6,7,-3,2,8,4,5]=>[1,-3,7,2,-6,8,4,5]
[-6,-2,1,3,7,8,4,5]=>[2,1,3,-6,7,8,4,5]
[-2,-7,1,8,3,-5,4,6]=>[8,2,-7,1,-5,3,4,6]
[7,8,1,-3,2,-5,4,6]=>[7,8,-3,1,-5,2,4,6]
[5,1,7,8,2,-4,3,6]=>[7,1,-5,8,-4,2,3,6]
[2,-7,8,-5,1,-4,3,6]=>[-5,7,8,2,-4,1,3,6]
[-6,2,-4,1,7,8,3,5]=>[6,2,7,1,-4,8,3,5]
[2,-7,8,-6,3,-4,1,5]=>[6,7,8,-4,2,3,1,5]
[7,8,2,3,-6,5,-4,1]=>[7,-6,8,2,3,-4,5,1]
[-7,2,-3,8,4,5,-6,1]=>[-3,8,-7,-6,2,4,5,1]
[-7,2,4,8,-6,-3,1,5]=>[3,2,6,4,7,8,1,5]
[6,2,-3,1,7,8,4,5]=>[-3,7,2,-6,1,8,4,5]
[-7,2,-3,8,1,-5,4,6]=>[-7,-2,8,-3,-5,1,4,6]
[2,-4,-3,-7,1,8,5,6]=>[3,-8,2,4,-7,1,5,6]
[3,4,1,-7,2,8,5,6]=>[3,-8,4,1,-7,2,5,6]
[-2,1,-4,-7,3,8,5,6]=>[2,-8,-4,1,-7,3,5,6]
[-2,1,-4,3,6,-8,-7,5]=>[2,-4,1,-7,3,6,8,5]
[3,4,1,2,6,-8,-7,5]=>[3,4,1,-7,2,6,8,5]
[2,-4,-3,1,6,-8,-7,5]=>[3,2,4,-7,1,6,8,5]
[2,-8,6,-3,1,-5,-7,4]=>[-8,2,-3,6,-5,-7,1,4]
[-7,2,-3,8,5,1,-6,4]=>[-2,-3,-8,5,-7,-6,1,4]
[-7,2,-3,8,-6,5,1,4]=>[-7,-2,8,-6,-3,5,1,4]
[2,-8,5,4,-3,-7,-6,1]=>[5,2,-3,-7,-6,4,8,1]
[5,2,-8,3,-7,-4,-6,1]=>[-7,8,2,-4,3,-6,5,1]
[2,-7,-4,8,-6,5,1,3]=>[-2,7,-4,-6,8,5,1,3]
[2,-7,8,-6,5,1,-4,3]=>[8,-2,-7,5,-6,-4,1,3]
[6,2,-8,-5,1,-4,-7,3]=>[-8,5,2,6,-4,-7,1,3]
[5,8,6,1,2,-4,-7,3]=>[5,6,-8,1,-4,-7,2,3]
[6,-8,1,-3,2,-5,-7,4]=>[-3,-8,6,1,-5,-7,2,4]
[-2,1,6,-8,3,-5,-7,4]=>[2,1,3,-8,-5,-7,6,4]
[-2,-7,1,8,5,3,-6,4]=>[5,2,1,-8,-7,-6,3,4]
[7,8,1,-3,5,2,-6,4]=>[1,-8,5,-7,-3,-6,2,4]
[7,8,5,1,-6,2,-4,3]=>[1,-8,-7,-6,5,-4,2,3]
[1,6,7,8,4,2,-5,3]=>[1,8,2,-7,-6,-5,4,3]
[2,8,-7,-6,4,1,-5,3]=>[7,-2,8,1,-6,-5,4,3]
[2,6,7,-5,8,4,1,3]=>[2,-7,8,-6,-5,4,1,3]
[7,8,4,2,3,-6,-5,1]=>[-6,7,-5,4,2,3,8,1]
[7,8,4,-6,2,3,-5,1]=>[-6,7,-5,8,2,4,3,1]
[2,8,-7,-6,-5,4,1,3]=>[-2,-5,6,7,8,4,1,3]
[1,6,7,8,-5,4,2,3]=>[-6,1,7,-5,8,4,2,3]
[7,8,5,-4,-6,1,2,3]=>[7,-6,8,1,4,2,5,3]
[7,8,1,-3,-6,5,2,4]=>[5,-8,-7,-6,1,-3,2,4]
[-2,-7,1,8,-6,5,3,4]=>[8,2,-7,-6,1,5,3,4]
[-2,1,5,4,-8,-7,-6,3]=>[2,-5,-6,1,4,7,8,3]
[5,-8,1,4,-3,-7,-6,2]=>[7,1,5,-3,-6,4,8,2]
[5,3,-8,1,-7,-4,-6,2]=>[-7,8,3,-4,1,-6,5,2]
[7,8,4,3,1,-6,-5,2]=>[4,3,-7,-6,-5,1,8,2]
[7,8,4,-6,3,1,-5,2]=>[8,-7,4,3,-6,-5,1,2]
[7,8,4,-6,-5,3,1,2]=>[-6,7,-5,4,8,3,1,2]
[4,3,2,-8,-7,-6,-5,1]=>[-4,-5,3,2,6,7,8,1]
[1,2,3,7,5,6,8,4]=>[1,2,-5,3,6,8,-7,4]
[8,3,1,2,4,5,6,7]=>[3,1,2,8,4,5,6,7]
[8,2,3,1,4,5,6,7]=>[2,8,3,1,4,5,6,7]
[4,2,3,5,6,7,8,1]=>[2,3,5,6,7,8,-4,1]
[8,4,1,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]
[8,3,2,1,4,5,6,7]=>[-2,8,-3,1,4,5,6,7]
[8,2,3,4,1,5,6,7]=>[3,4,-2,8,1,5,6,7]
[5,2,3,4,6,7,8,1]=>[5,3,4,6,7,8,-2,1]
[3,4,5,2,6,7,8,1]=>[5,2,-4,6,7,8,-3,1]
[6,1,2,3,4,5,7,8]=>[1,2,3,6,4,5,7,8]
[7,1,2,3,4,8,5,6]=>[1,2,3,8,-7,4,5,6]
[4,2,3,1,6,5,8,7]=>[2,3,-4,1,-6,5,-8,7]
[8,6,7,4,5,2,3,1]=>[6,7,4,5,2,3,-8,1]
[8,6,7,3,5,2,4,1]=>[6,7,-3,5,2,4,-8,1]
[6,3,5,2,4,1,8,7]=>[-3,5,2,4,-6,1,-8,7]
[2,1,6,4,5,3,8,7]=>[-2,-4,1,5,-6,3,-8,7]
[2,1,8,5,7,4,6,3]=>[-2,-7,-5,1,4,6,-8,3]
[8,5,7,3,6,2,4,1]=>[3,7,-5,6,2,4,-8,1]
[8,5,7,4,6,2,3,1]=>[-5,7,4,6,2,3,-8,1]
[2,1,4,3,8,6,7,5]=>[-2,1,-4,-6,3,7,-8,5]
[6,5,2,1,4,7,8,3]=>[-4,-5,-2,1,7,8,-6,3]
[2,6,4,7,3,5,8,1]=>[7,-2,-6,3,5,8,-4,1]
[-2,-3,-4,1,-6,5,-8,7]=>[-3,-4,2,-6,1,-8,5,7]
[-2,-5,-3,6,1,4,-8,7]=>[5,-2,6,-3,1,-8,4,7]
[-2,-5,4,-3,-6,1,-8,7]=>[-5,2,-3,-6,4,-8,1,7]
[-2,-5,4,-7,-3,8,1,6]=>[-7,-5,4,-2,8,-3,1,6]
[-2,-5,-3,4,6,-7,-8,1]=>[-3,-7,2,5,4,-8,6,1]
[7,5,2,3,6,-4,-8,1]=>[7,-4,5,2,6,-8,3,1]
[4,5,2,-7,3,8,1,6]=>[5,2,-4,-7,3,8,1,6]
[4,5,2,3,-6,1,-8,7]=>[6,4,5,2,3,-8,1,7]
[6,-4,-5,2,1,3,-8,7]=>[-6,4,-5,2,1,-8,3,7]
[-2,1,-4,-5,-6,3,-8,7]=>[2,-4,-5,-6,1,-8,3,7]
[-5,4,1,-3,-6,2,-8,7]=>[4,-5,-3,-6,1,-8,2,7]
[5,-4,3,1,-6,2,-8,7]=>[-4,5,3,-6,1,-8,2,7]
[4,-6,-5,3,1,2,-8,7]=>[5,4,6,3,1,-8,2,7]
[-2,-3,-4,-5,-6,1,-8,7]=>[-3,-4,-5,-6,2,-8,1,7]
[-2,-3,-4,-7,-5,8,1,6]=>[7,-2,-3,-4,8,-5,1,6]
[-2,-3,-4,-7,6,-5,-8,1]=>[-3,-4,-7,2,-5,-8,6,1]
[-7,-3,-8,-6,2,5,-4,1]=>[6,-4,3,8,7,5,2,1]
[8,-3,-4,-6,-7,2,1,5]=>[-3,-6,-8,-4,-7,2,1,5]
[-7,-6,4,3,1,8,2,5]=>[3,-4,-7,8,-6,1,2,5]
[-3,8,-7,-4,1,-5,2,6]=>[4,3,-5,7,8,1,2,6]
[5,-4,3,-7,1,8,2,6]=>[-4,5,3,1,-7,8,2,6]
[-5,4,1,-7,-3,8,2,6]=>[4,-5,-7,1,8,-3,2,6]
[-2,1,-4,-7,-5,8,3,6]=>[2,-7,1,-4,8,-5,3,6]
[-2,1,-4,-7,6,-5,-8,3]=>[2,-4,-7,1,-5,-8,6,3]
[-5,4,-3,1,6,-7,-8,2]=>[3,5,1,-7,4,-8,6,2]
[-4,5,3,1,6,-7,-8,2]=>[-5,-4,3,-7,1,-8,6,2]
[6,-3,-7,-4,1,-5,-8,2]=>[-4,3,7,6,-5,-8,1,2]
[-3,-4,-8,7,5,1,-6,2]=>[-3,-4,-7,5,-8,-6,1,2]
[-6,-8,4,3,-7,5,1,2]=>[6,4,-8,-7,3,5,1,2]
[-5,-3,-6,2,-7,-4,-8,1]=>[7,-4,3,6,2,-8,5,1]
[-5,6,3,4,2,-7,-8,1]=>[-5,6,3,-7,4,-8,2,1]
[3,7,-5,-8,4,1,-6,2]=>[-3,-5,7,1,-8,-6,4,2]
[5,1,6,7,3,4,-8,2]=>[5,6,-8,1,7,3,4,2]
[7,-6,3,1,-8,5,-4,2]=>[-6,7,3,-8,1,-4,5,2]
[-6,-3,1,7,4,5,-8,2]=>[1,-6,-8,3,7,4,5,2]
[-7,-2,-6,1,4,5,-8,3]=>[-2,6,-8,1,4,7,5,3]
[-2,-8,1,-6,-7,4,3,5]=>[2,-8,-6,-4,-7,1,3,5]
[6,1,8,4,-7,-3,2,5]=>[-7,6,-3,1,4,8,2,5]
[-8,-6,3,1,-7,-4,2,5]=>[7,3,6,-4,1,2,8,5]
[5,6,3,8,-7,1,2,4]=>[1,7,5,3,6,8,2,4]
[7,-6,5,8,3,1,2,4]=>[-6,7,5,8,3,1,2,4]
[-8,-3,-5,-6,-7,2,1,4]=>[-5,-8,-6,-3,-7,2,1,4]
[-7,3,-5,-8,2,4,-6,1]=>[8,5,-6,7,3,2,4,1]
[5,8,6,7,3,4,-2,1]=>[-8,5,6,7,3,-2,4,1]
[2,5,6,8,-7,3,1,4]=>[-2,3,5,8,-7,6,1,4]
[2,-5,-6,7,1,8,3,4]=>[-2,-7,-5,8,-6,1,3,4]
[8,-7,2,-4,1,-5,3,6]=>[7,4,2,8,-5,1,3,6]
[-4,-6,7,2,1,8,3,5]=>[-8,-7,-2,-4,-6,1,3,5]
[2,-6,8,3,-7,-4,1,5]=>[7,8,-4,2,3,1,6,5]
[-6,2,7,-4,3,5,-8,1]=>[4,2,-8,6,3,7,5,1]
[-6,2,-3,7,4,5,-8,1]=>[6,7,-3,-8,2,4,5,1]
[-6,-2,4,8,-7,-3,1,5]=>[-3,2,4,7,6,8,1,5]
[-6,-2,-3,1,7,8,4,5]=>[-2,-3,1,-6,7,8,4,5]
[-2,-7,-3,8,1,-5,4,6]=>[7,-2,8,-3,-5,1,4,6]
[-2,-3,-4,-7,1,8,5,6]=>[-3,-8,-4,2,-7,1,5,6]
[-2,1,-4,3,-6,-7,-8,5]=>[2,-4,1,-6,-7,-8,3,5]
[3,4,1,2,-6,-7,-8,5]=>[3,4,1,-6,-7,-8,2,5]
[-2,-3,-4,1,-6,-7,-8,5]=>[-3,-4,2,-6,-7,-8,1,5]
[-2,-3,-7,6,1,-5,-8,4]=>[-6,-2,-7,-3,-5,-8,1,4]
[-2,-7,-3,-6,5,1,-8,4]=>[7,-2,-6,5,-3,-8,1,4]
[-2,-6,-3,-8,-7,5,1,4]=>[6,-2,-7,-3,8,5,1,4]
[-2,-5,4,-3,-6,-7,-8,1]=>[-5,2,-3,-6,-7,-8,4,1]
[-6,5,2,3,-4,-7,-8,1]=>[6,-4,5,2,-7,-8,3,1]
[-8,6,-4,2,-7,5,1,3]=>[-8,-4,2,-7,6,5,1,3]
[7,-8,-4,2,5,1,-6,3]=>[2,8,-4,7,5,-6,1,3]
[6,2,-7,-4,1,-5,-8,3]=>[4,7,2,6,-5,-8,1,3]
[5,7,1,6,2,-4,-8,3]=>[-7,6,1,-5,-4,-8,2,3]
[-7,6,1,-3,2,-5,-8,4]=>[6,-7,-3,1,-5,-8,2,4]
[-2,1,-7,6,3,-5,-8,4]=>[2,-6,1,-7,-5,-8,3,4]
[-2,-7,1,-6,5,3,-8,4]=>[5,-7,2,-6,1,-8,3,4]
[7,5,1,-6,-3,2,-8,4]=>[6,7,-3,1,2,-8,5,4]
[8,7,1,5,-6,2,-4,3]=>[-8,7,-6,1,5,-4,2,3]
[5,6,7,1,4,2,-8,3]=>[1,6,7,-5,4,-8,2,3]
[4,-7,-5,-6,2,1,-8,3]=>[5,7,4,-6,2,-8,1,3]
[-8,5,6,-7,2,4,1,3]=>[-2,7,8,5,6,4,1,3]
[6,4,-5,2,3,-7,-8,1]=>[7,5,6,2,4,-8,3,1]
[5,4,-7,-6,2,3,-8,1]=>[8,6,2,5,4,7,3,1]
[4,-5,-8,-6,-7,2,1,3]=>[5,4,-6,8,-7,2,1,3]
[7,8,-6,5,1,4,2,3]=>[7,8,1,5,-6,4,2,3]
[5,8,6,1,-7,4,2,3]=>[5,6,-8,4,-7,1,2,3]
[8,1,6,-4,-7,5,2,3]=>[1,6,-8,-7,-4,5,2,3]
[6,5,1,-8,-7,-3,2,4]=>[7,-3,6,1,2,5,8,4]
[-2,-6,1,-8,-7,5,3,4]=>[2,-6,8,-7,1,5,3,4]
[-2,1,-4,-5,-6,-7,-8,3]=>[2,-4,-5,-6,-7,-8,1,3]
[-5,4,1,-3,-6,-7,-8,2]=>[4,-5,-3,-6,-7,-8,1,2]
[-5,-6,3,1,-4,-7,-8,2]=>[5,3,-6,-4,-7,-8,1,2]
[4,-6,-5,3,1,-7,-8,2]=>[5,4,6,3,-7,-8,1,2]
[4,-5,-7,-6,3,1,-8,2]=>[5,-6,4,7,3,-8,1,2]
[4,-5,-6,-8,-7,3,1,2]=>[5,-6,-7,4,8,3,1,2]
[-2,-3,-4,-5,-6,-7,-8,1]=>[-3,-4,-5,-6,-7,-8,2,1]
[6,2,3,1,5,4,8,7]=>[2,-5,3,1,-6,4,-8,7]
[8,4,5,2,3,1,7,6]=>[4,5,2,-7,3,1,-8,6]
[8,6,7,2,5,3,4,1]=>[6,7,5,-2,3,4,-8,1]
[8,2,5,3,4,1,7,6]=>[5,-2,3,-7,4,1,-8,6]
[6,2,5,3,4,1,8,7]=>[5,-2,3,4,-6,1,-8,7]
[6,4,5,1,3,2,8,7]=>[4,5,3,1,-6,2,-8,7]
[6,1,5,3,4,2,8,7]=>[1,-5,3,4,-6,2,-8,7]
[6,3,5,1,4,2,8,7]=>[-3,5,4,1,-6,2,-8,7]
[8,3,5,2,4,1,7,6]=>[-3,5,2,-7,4,1,-8,6]
[8,3,7,5,6,2,4,1]=>[-7,-3,5,6,2,4,-8,1]
[8,3,7,2,4,1,6,5]=>[-3,2,6,-7,4,1,-8,5]
[8,3,5,1,4,2,7,6]=>[-3,5,4,-7,1,2,-8,6]
[8,1,5,3,4,2,7,6]=>[1,-5,3,-7,4,2,-8,6]
[8,4,5,1,3,2,7,6]=>[4,5,3,-7,1,2,-8,6]
[2,1,8,4,5,3,7,6]=>[-2,-4,1,-7,5,3,-8,6]
[8,6,7,4,5,1,3,2]=>[6,7,4,5,3,1,-8,2]
[8,6,7,1,5,3,4,2]=>[1,7,5,-6,3,4,-8,2]
[8,6,7,3,5,1,4,2]=>[6,7,-3,5,4,1,-8,2]
[8,3,7,5,6,1,4,2]=>[-7,-3,5,6,4,1,-8,2]
[8,3,7,4,6,2,5,1]=>[-7,4,-3,6,2,5,-8,1]
[8,3,7,4,6,1,5,2]=>[-7,4,-3,6,5,1,-8,2]
[8,3,7,1,6,4,5,2]=>[3,6,1,-7,4,5,-8,2]
[8,1,7,3,6,4,5,2]=>[-3,1,6,-7,4,5,-8,2]
[8,1,7,5,6,3,4,2]=>[-5,-7,1,6,3,4,-8,2]
[8,4,7,5,6,1,3,2]=>[7,-4,5,6,3,1,-8,2]
[8,1,7,3,4,2,6,5]=>[-6,1,3,-7,4,2,-8,5]
[8,1,7,3,6,2,5,4]=>[-6,1,-7,3,5,2,-8,4]
[8,3,7,1,6,2,5,4]=>[-3,1,6,-7,5,2,-8,4]
[8,3,7,2,6,4,5,1]=>[3,2,6,-7,4,5,-8,1]
[8,2,7,3,6,4,5,1]=>[-2,3,6,-7,4,5,-8,1]
[8,2,7,3,6,1,5,4]=>[-2,6,-7,3,5,1,-8,4]
[8,2,7,1,6,3,5,4]=>[6,2,1,-7,5,3,-8,4]
[8,2,7,1,4,3,6,5]=>[6,2,4,-7,1,3,-8,5]
[8,2,7,3,4,1,6,5]=>[-2,6,3,-7,4,1,-8,5]
[8,2,7,5,6,3,4,1]=>[-2,-7,5,6,3,4,-8,1]
[8,4,7,5,6,2,3,1]=>[7,-4,5,6,2,3,-8,1]
[8,4,7,2,3,1,6,5]=>[4,2,6,-7,3,1,-8,5]
[8,2,3,1,7,4,6,5]=>[-6,2,3,-7,1,4,-8,5]
[8,2,3,1,5,4,7,6]=>[2,-5,3,-7,1,4,-8,6]
[4,2,3,1,8,5,7,6]=>[2,3,-4,-7,1,5,-8,6]
[4,1,3,2,8,6,7,5]=>[3,1,-4,-6,2,7,-8,5]
[8,6,7,2,3,1,5,4]=>[2,7,5,-6,3,1,-8,4]
[8,2,3,1,7,5,6,4]=>[-5,2,3,-7,1,6,-8,4]
[8,5,7,2,6,3,4,1]=>[2,7,6,-5,3,4,-8,1]
[8,5,7,2,6,1,4,3]=>[7,2,-5,6,4,1,-8,3]
[8,2,7,5,6,1,4,3]=>[-2,-7,5,6,4,1,-8,3]
[8,6,7,2,5,1,4,3]=>[2,7,-6,5,4,1,-8,3]
[8,6,7,1,5,2,4,3]=>[1,7,5,-6,4,2,-8,3]
[8,6,7,1,3,2,5,4]=>[3,7,5,-6,1,2,-8,4]
[2,1,8,6,7,3,5,4]=>[-7,-2,-6,1,5,3,-8,4]
[2,1,8,3,7,5,6,4]=>[-5,-2,1,-7,3,6,-8,4]
[8,1,3,2,7,5,6,4]=>[-5,3,1,-7,2,6,-8,4]
[8,1,7,5,6,2,4,3]=>[-5,-7,1,6,4,2,-8,3]
[8,1,7,2,6,4,5,3]=>[-6,1,2,-7,4,5,-8,3]
[8,2,7,1,6,4,5,3]=>[6,2,1,-7,4,5,-8,3]
[8,2,7,4,6,1,5,3]=>[-2,4,-7,6,5,1,-8,3]
[8,2,7,4,6,3,5,1]=>[-2,4,-7,6,3,5,-8,1]
[8,4,7,2,6,3,5,1]=>[-2,7,6,-4,3,5,-8,1]
[8,4,7,2,6,1,5,3]=>[-7,2,-4,6,5,1,-8,3]
[8,4,7,1,6,2,5,3]=>[-7,1,6,-4,5,2,-8,3]
[8,1,7,4,6,2,5,3]=>[-4,1,-7,6,5,2,-8,3]
[8,5,7,1,6,2,4,3]=>[7,1,6,-5,4,2,-8,3]
[2,1,8,5,7,3,6,4]=>[-2,-7,-5,1,6,3,-8,4]
[8,5,7,4,6,1,3,2]=>[-5,7,4,6,3,1,-8,2]
[8,5,7,1,6,3,4,2]=>[7,1,6,-5,3,4,-8,2]
[8,1,7,4,6,3,5,2]=>[-4,1,-7,6,3,5,-8,2]
[8,4,7,1,6,3,5,2]=>[-7,1,6,-4,3,5,-8,2]
[8,4,7,3,6,1,5,2]=>[-3,7,-4,6,5,1,-8,2]
[7,5,1,3,8,2,4,6]=>[5,-7,3,1,2,8,4,6]
[3,2,6,4,8,5,1,7]=>[-2,4,-3,-8,5,-6,1,7]
[3,2,5,8,4,6,1,7]=>[-2,-3,8,4,6,-5,1,7]
[3,5,2,4,1,7,6,8]=>[-5,2,4,-3,1,-7,6,8]
[3,2,1,5,4,7,6,8]=>[-2,-3,1,-5,4,-7,6,8]
[4,2,1,5,7,3,6,8]=>[-2,-5,1,-4,7,3,6,8]
[4,5,2,3,7,1,6,8]=>[5,2,3,-4,7,1,6,8]
[4,2,5,3,8,1,6,7]=>[-2,3,-5,-4,1,8,6,7]
[4,2,5,8,3,1,6,7]=>[-2,3,-5,8,-4,1,6,7]
[2,1,5,4,3,6,8,7]=>[-2,1,-4,-5,3,6,-8,7]
[3,1,5,4,2,8,6,7]=>[-4,1,-3,-5,-8,2,6,7]
[4,1,5,3,8,2,6,7]=>[-3,1,-5,-4,2,8,6,7]
[4,1,5,8,3,2,6,7]=>[1,8,3,-5,-4,2,6,7]
[4,3,8,5,2,1,6,7]=>[-5,2,-8,-3,-4,1,6,7]
[4,7,3,5,2,1,6,8]=>[-3,5,-7,2,-4,1,6,8]
[4,3,2,7,5,1,6,8]=>[-2,-3,5,-7,-4,1,6,8]
[4,3,6,2,5,1,7,8]=>[-6,-3,2,5,-4,1,7,8]
[4,6,3,2,5,1,7,8]=>[-3,2,-6,5,-4,1,7,8]
[4,6,7,1,3,2,5,8]=>[3,6,7,1,-4,2,5,8]
[4,5,1,7,3,2,6,8]=>[-7,3,1,-5,-4,2,6,8]
[4,5,1,3,7,2,6,8]=>[5,3,1,-4,7,2,6,8]
[3,5,1,4,2,7,6,8]=>[-5,4,1,-3,2,-7,6,8]
[2,5,1,4,3,7,8,6]=>[-2,4,1,-5,3,8,-7,6]
[5,2,1,4,3,7,8,6]=>[-4,-2,1,-5,3,8,-7,6]
[5,3,1,4,2,7,6,8]=>[-4,-5,1,-3,2,-7,6,8]
[4,3,1,7,5,2,6,8]=>[-5,-3,1,-7,-4,2,6,8]
[4,3,6,1,5,2,7,8]=>[-6,-3,5,1,-4,2,7,8]
[4,6,3,1,5,2,7,8]=>[-3,5,-6,1,-4,2,7,8]
[5,3,6,4,1,2,7,8]=>[-6,3,-5,4,1,2,7,8]
[5,3,6,7,1,2,4,8]=>[5,3,1,6,7,2,4,8]
[4,3,6,1,7,2,5,8]=>[6,-3,7,1,-4,2,5,8]
[6,3,4,1,2,7,5,8]=>[7,3,4,1,2,-6,5,8]
[6,2,4,1,3,7,8,5]=>[-7,2,4,1,3,8,-6,5]
[2,6,4,1,3,7,8,5]=>[-2,-7,4,1,3,8,-6,5]
[3,6,4,1,2,7,5,8]=>[3,-7,4,1,2,-6,5,8]
[4,6,3,1,7,2,5,8]=>[-3,-6,7,1,-4,2,5,8]
[5,6,7,3,1,2,4,8]=>[5,6,7,3,1,2,4,8]
[5,6,3,2,1,4,7,8]=>[2,-6,-5,-3,1,4,7,8]
[5,3,6,2,1,4,7,8]=>[6,2,-5,-3,1,4,7,8]
[5,6,2,7,1,3,4,8]=>[-5,6,2,1,7,3,4,8]
[5,6,7,2,1,3,4,8]=>[-6,-5,2,1,7,3,4,8]
[4,5,2,7,3,1,6,8]=>[-7,2,3,-5,-4,1,6,8]
[4,6,7,2,3,1,5,8]=>[2,6,7,3,-4,1,5,8]
[4,6,2,1,7,3,5,8]=>[-7,-6,2,1,-4,3,5,8]
[3,2,6,1,4,7,5,8]=>[-2,-3,7,1,4,-6,5,8]
[3,6,2,1,4,7,5,8]=>[-7,2,-3,1,4,-6,5,8]
[3,6,7,2,4,5,1,8]=>[-2,6,7,4,5,-3,1,8]
[3,5,2,7,4,6,1,8]=>[-7,2,4,-3,6,-5,1,8]
[3,7,2,4,8,5,1,6]=>[8,2,4,5,-7,-3,1,6]
[7,2,1,4,6,3,8,5]=>[4,-2,1,8,-6,3,-7,5]
[7,3,1,4,6,8,2,5]=>[-7,4,1,-3,6,8,2,5]
[3,2,1,4,7,6,5,8]=>[-2,-3,1,4,-6,-7,5,8]
[3,2,1,7,5,6,4,8]=>[-2,-3,-5,1,6,-7,4,8]
[3,2,6,1,5,7,4,8]=>[-2,-3,5,1,7,-6,4,8]
[3,6,2,1,5,7,4,8]=>[-5,2,-3,1,7,-6,4,8]
[6,3,2,1,5,7,4,8]=>[-2,-5,-3,1,7,-6,4,8]
[6,4,2,1,5,3,7,8]=>[-2,-5,-6,1,-4,3,7,8]
[4,2,6,1,5,3,7,8]=>[-2,-6,5,1,-4,3,7,8]
[4,2,1,7,5,3,6,8]=>[-2,-5,1,-7,-4,3,6,8]
[7,4,1,5,6,2,3,8]=>[7,5,-4,1,6,2,3,8]
[7,3,1,5,2,6,4,8]=>[-6,-7,1,-3,2,-5,4,8]
[7,2,1,5,3,6,8,4]=>[-6,-2,-5,1,3,8,-7,4]
[6,2,5,1,3,7,8,4]=>[-5,2,7,1,3,8,-6,4]
[6,3,5,1,2,7,4,8]=>[5,3,7,1,2,-6,4,8]
[6,4,5,1,7,2,3,8]=>[4,5,7,-6,1,2,3,8]
[5,4,6,7,1,2,3,8]=>[5,1,4,6,7,2,3,8]
[5,2,6,4,1,3,7,8]=>[-6,-2,-5,4,1,3,7,8]
[5,6,2,4,1,3,7,8]=>[2,-5,6,4,1,3,7,8]
[5,4,2,6,1,3,7,8]=>[-4,-5,-2,6,1,3,7,8]
[5,4,6,2,1,3,7,8]=>[6,-4,-5,2,1,3,7,8]
[5,6,4,2,1,3,7,8]=>[-4,-6,-5,2,1,3,7,8]
[5,6,7,4,1,2,3,8]=>[5,6,7,1,4,2,3,8]
[5,6,4,7,1,2,3,8]=>[5,6,1,4,7,2,3,8]
[4,6,5,1,7,2,3,8]=>[5,-4,7,-6,1,2,3,8]
[3,6,5,1,2,7,4,8]=>[3,-5,7,1,2,-6,4,8]
[6,5,3,1,4,7,2,8]=>[-4,-5,-6,1,7,-3,2,8]
[5,4,3,6,1,2,7,8]=>[-4,-5,3,6,1,2,7,8]
[5,4,6,3,1,2,7,8]=>[-4,6,-5,3,1,2,7,8]
[5,6,4,3,1,2,7,8]=>[4,-6,-5,3,1,2,7,8]
[1,6,4,7,3,8,2,5]=>[-7,1,3,-6,-4,8,2,5]
[1,3,7,4,5,8,2,6]=>[1,-3,4,-7,5,8,2,6]
[1,7,6,3,4,8,2,5]=>[-6,-3,1,-7,4,8,2,5]
[8,1,6,3,7,2,4,5]=>[6,-8,3,1,2,7,4,5]
[7,1,6,3,8,2,4,5]=>[-6,-7,3,1,2,8,4,5]
[1,2,7,4,8,3,5,6]=>[1,-7,2,-4,3,8,5,6]
[6,1,7,3,4,8,2,5]=>[-7,3,1,-6,4,8,2,5]
[2,1,7,4,5,8,3,6]=>[-2,-4,1,-7,5,8,3,6]
[5,1,4,7,3,8,2,6]=>[1,7,3,-4,-5,8,2,6]
[4,3,1,7,5,8,2,6]=>[-5,-3,1,-7,-4,8,2,6]
[2,8,6,3,7,1,4,5]=>[-8,-6,3,-2,1,7,4,5]
[6,8,1,3,7,2,4,5]=>[-6,1,8,3,2,7,4,5]
[5,8,2,1,7,3,4,6]=>[8,7,2,-5,1,3,4,6]
[5,7,2,1,8,3,4,6]=>[-7,8,2,-5,1,3,4,6]
[6,7,1,3,8,2,4,5]=>[-6,3,7,1,2,8,4,5]
[2,7,1,8,3,4,5,6]=>[7,-2,1,8,3,4,5,6]
[6,1,2,8,3,4,5,7]=>[-6,1,2,8,3,4,5,7]
[6,5,1,3,4,8,2,7]=>[5,1,3,4,-6,8,2,7]
[1,6,2,4,8,3,5,7]=>[-4,1,-6,2,3,8,5,7]
[8,5,1,3,7,2,4,6]=>[3,-8,5,1,2,7,4,6]
[1,5,3,2,8,4,6,7]=>[-8,1,-3,2,-5,4,6,7]
[6,4,2,1,5,8,3,7]=>[-2,-5,-6,1,-4,8,3,7]
[2,6,4,8,7,1,3,5]=>[-6,-2,-8,4,1,7,3,5]
[1,6,4,8,7,2,3,5]=>[-6,-4,-8,1,2,7,3,5]
[2,7,8,3,6,1,4,5]=>[-2,-7,3,1,8,6,4,5]
[4,3,2,8,7,1,5,6]=>[-2,-3,-8,-4,1,7,5,6]
[5,2,4,8,7,1,3,6]=>[-5,2,-8,4,1,7,3,6]
[6,2,8,3,7,1,4,5]=>[-8,-6,2,3,1,7,4,5]
[5,1,4,8,7,2,3,6]=>[1,-5,-8,4,2,7,3,6]
[1,2,3,4,8,6,7,5]=>[1,2,3,-6,4,7,-8,5]
[1,2,6,4,5,7,8,3]=>[1,-4,2,5,7,8,-6,3]
[1,5,3,4,6,7,8,2]=>[-3,1,4,6,7,8,-5,2]
[2,4,1,6,3,7,5,8]=>[7,-2,1,-4,3,-6,5,8]
[2,4,1,5,3,7,6,8]=>[5,-2,1,-4,3,-7,6,8]
[2,3,1,5,4,7,6,8]=>[3,-2,1,-5,4,-7,6,8]
[2,4,1,6,3,7,8,5]=>[7,-2,1,-4,3,8,-6,5]
[2,4,1,5,3,8,6,7]=>[5,-2,1,-4,-8,3,6,7]
[2,3,1,6,4,7,5,8]=>[3,-2,1,-7,4,-6,5,8]
[2,4,1,5,3,6,8,7]=>[5,-2,1,-4,3,6,-8,7]
[2,4,1,6,7,8,3,5]=>[-2,6,1,-4,7,8,3,5]
[2,3,1,6,4,8,5,7]=>[3,-2,-8,1,4,-6,5,7]
[2,3,1,7,4,8,5,6]=>[3,-2,-8,1,-7,4,5,6]
[4,3,6,5,8,7,2,1]=>[-5,7,-3,2,-4,-6,-8,1]
[5,3,6,8,4,7,2,1]=>[-8,4,-3,7,2,-6,-5,1]
[3,2,6,5,4,8,7,1]=>[-2,4,-3,-5,7,-6,-8,1]
[3,7,2,5,4,8,6,1]=>[-5,2,4,-3,6,-8,-7,1]
[8,4,2,5,7,3,6,1]=>[-5,2,7,-8,3,6,-4,1]
[4,7,2,5,8,3,6,1]=>[5,2,8,-7,3,6,-4,1]
[4,2,6,5,8,3,7,1]=>[-2,8,-5,-4,3,7,-6,1]
[5,2,6,8,4,3,7,1]=>[2,4,3,-8,-6,7,-5,1]
[3,1,6,5,4,8,2,7]=>[-4,1,-3,-5,-6,8,2,7]
[4,1,6,5,8,3,2,7]=>[8,1,-5,3,-4,-6,2,7]
[5,1,6,8,4,3,2,7]=>[-4,1,-8,3,-6,-5,2,7]
[6,5,8,7,4,3,2,1]=>[-3,2,-4,-7,-5,-6,-8,1]
[7,8,5,6,4,3,2,1]=>[4,3,2,-6,-5,-8,-7,1]
[8,5,4,7,6,3,2,1]=>[-3,-6,2,-4,-7,-5,-8,1]
[8,6,7,4,5,3,2,1]=>[4,5,3,2,-7,-6,-8,1]
[7,8,6,4,5,3,2,1]=>[5,-4,3,2,-6,-8,-7,1]
[5,7,1,8,4,3,2,6]=>[3,-4,-8,-7,1,-5,2,6]
[2,7,1,5,4,3,8,6]=>[-2,4,1,-5,-8,3,-7,6]
[8,2,1,5,4,3,7,6]=>[-4,-2,1,-7,-5,3,-8,6]
[8,4,1,5,7,3,2,6]=>[-5,7,1,-8,3,-4,2,6]
[8,5,6,7,1,3,2,4]=>[3,8,6,7,-5,1,2,4]
[8,4,6,1,7,3,2,5]=>[6,7,3,1,-8,-4,2,5]
[8,3,6,1,4,7,2,5]=>[3,4,6,-8,1,7,2,5]
[2,7,6,1,4,3,8,5]=>[-2,-8,4,1,-6,3,-7,5]
[6,7,8,5,1,3,2,4]=>[7,8,5,3,-6,1,2,4]
[8,6,7,5,3,4,2,1]=>[5,3,-7,4,2,-6,-8,1]
[5,7,6,8,2,3,4,1]=>[5,2,6,8,3,4,-7,1]
[5,7,2,8,4,3,6,1]=>[-4,2,-8,3,-7,6,-5,1]
[6,7,8,2,4,3,5,1]=>[7,8,2,-4,3,5,-6,1]
[4,7,6,2,8,3,5,1]=>[8,2,-6,-4,3,5,-7,1]
[8,3,6,2,4,7,5,1]=>[3,7,2,4,5,-6,-8,1]
[3,7,6,2,4,8,5,1]=>[-8,-3,2,4,5,-6,-7,1]
[6,7,8,3,4,5,2,1]=>[7,8,4,5,2,-6,-3,1]
[5,7,3,8,4,6,2,1]=>[3,4,6,-8,2,-7,-5,1]
[4,7,3,5,8,6,2,1]=>[-3,5,6,2,-8,-4,-7,1]
[8,7,2,1,4,3,6,5]=>[-6,-4,-2,-7,1,3,-8,5]
[8,7,3,1,4,6,2,5]=>[7,-8,4,1,-3,6,2,5]
[8,7,6,3,2,5,4,1]=>[-2,-5,-6,-7,4,-3,-8,1]
[8,7,6,4,5,2,3,1]=>[-6,-7,4,5,2,3,-8,1]
[8,7,3,5,1,6,2,4]=>[-7,3,5,1,-8,6,2,4]
[8,7,2,5,1,3,6,4]=>[7,5,2,6,1,3,-8,4]
[8,2,6,5,1,3,7,4]=>[-5,-6,2,7,1,3,-8,4]
[8,4,6,5,7,1,2,3]=>[8,6,1,4,5,7,2,3]
[8,7,5,6,4,2,3,1]=>[-5,6,4,-7,2,3,-8,1]
[7,8,6,5,4,2,3,1]=>[4,-5,-6,-8,2,3,-7,1]
[5,7,6,8,4,1,2,3]=>[5,-7,6,8,1,4,2,3]
[4,7,6,5,8,1,2,3]=>[6,-7,4,1,5,8,2,3]
[3,7,6,5,1,8,2,4]=>[5,8,-6,-3,-7,1,2,4]
[8,7,6,4,5,3,1,2]=>[-6,-7,4,5,-8,3,1,2]
[8,6,7,5,4,3,1,2]=>[5,4,-7,-6,-8,3,1,2]
[5,4,3,2,7,6,-1,8]=>[-2,-3,-4,6,-5,-7,-1,8]
[6,4,3,7,2,5,-1,8]=>[-7,-3,-6,2,5,-4,-1,8]
[7,4,3,6,5,2,-1,8]=>[-5,-3,2,-6,-4,-7,-1,8]
[8,4,3,6,5,-1,2,7]=>[-6,-4,-8,3,5,-1,2,7]
[-1,4,3,6,5,8,7,2]=>[-1,-3,5,-4,7,-6,-8,2]
[-1,5,6,3,4,8,7,2]=>[-6,-1,3,4,7,-5,-8,2]
[8,5,6,3,4,-1,2,7]=>[5,8,6,3,4,-1,2,7]
[7,5,6,3,4,2,-1,8]=>[6,3,4,2,-5,-7,-1,8]
[6,5,7,3,2,4,-1,8]=>[3,-7,-5,2,4,-6,-1,8]
[3,2,7,6,5,4,-1,8]=>[-2,4,-3,-5,-6,-7,-1,8]
[4,7,2,6,5,3,-1,8]=>[-5,2,3,-6,-4,-7,-1,8]
[5,7,6,2,4,3,-1,8]=>[4,-6,2,3,-5,-7,-1,8]
[6,7,5,4,2,3,-1,8]=>[4,-5,-7,2,3,-6,-1,8]
[7,6,5,4,3,2,-1,8]=>[-2,-3,-4,-5,-6,-7,-1,8]
[8,6,5,4,3,-1,2,7]=>[-4,-5,-8,-6,3,-1,2,7]
[-1,6,5,4,3,8,7,2]=>[-1,-3,-4,-5,7,-6,-8,2]
[-1,7,5,4,8,3,6,2]=>[-1,-8,-4,-7,3,6,-5,2]
[8,7,5,4,-1,3,2,6]=>[-4,-7,-5,3,-8,-1,2,6]
[7,8,5,4,-1,2,3,6]=>[7,8,5,-1,4,2,3,6]
[6,8,5,4,2,-1,3,7]=>[-4,-8,-5,-6,2,-1,3,7]
[5,8,6,2,4,-1,3,7]=>[5,-8,6,2,4,-1,3,7]
[4,8,2,6,5,-1,3,7]=>[6,-4,-8,2,5,-1,3,7]
[3,2,8,6,5,-1,4,7]=>[-2,-3,-8,-6,5,-1,4,7]
[3,2,-1,6,5,8,7,4]=>[-2,-3,-1,-5,7,-6,-8,4]
[4,-1,2,6,5,8,7,3]=>[5,-1,2,-4,7,-6,-8,3]
[5,-1,6,2,4,8,7,3]=>[4,-6,-1,2,7,-5,-8,3]
[6,-1,5,4,2,8,7,3]=>[7,-1,-4,-5,2,-6,-8,3]
[7,-1,5,4,8,2,6,3]=>[8,-1,-4,-7,6,2,-5,3]
[8,-1,5,4,7,6,2,3]=>[5,4,-7,-1,-8,6,2,3]
[-1,8,5,4,7,6,3,2]=>[-1,-6,-4,3,-7,-5,-8,2]
[-1,8,6,7,4,5,3,2]=>[4,-7,-1,5,3,-6,-8,2]
[8,-1,6,7,4,5,2,3]=>[6,-8,-1,7,4,5,2,3]
[7,-1,6,8,4,2,5,3]=>[-1,4,-8,-6,5,2,-7,3]
[6,-1,7,8,2,4,5,3]=>[7,8,-1,2,4,5,-6,3]
[5,-1,7,2,8,4,6,3]=>[4,-8,-1,2,-7,6,-5,3]
[4,-1,2,7,8,5,6,3]=>[8,-1,-4,2,5,6,-7,3]
[3,2,-1,7,8,5,6,4]=>[-2,-3,-8,-1,5,6,-7,4]
[3,2,8,7,-1,5,4,6]=>[-2,-7,-3,5,-8,-1,4,6]
[4,8,2,7,-1,5,3,6]=>[2,-8,7,5,-1,-4,3,6]
[5,8,7,2,-1,4,3,6]=>[-7,-4,-5,2,-8,-1,3,6]
[6,8,7,-1,2,4,3,5]=>[-1,6,7,4,-8,2,3,5]
[7,8,6,-1,4,2,3,5]=>[-1,8,-7,6,4,2,3,5]
[8,7,6,-1,4,3,2,5]=>[-6,-4,3,-7,-8,-1,2,5]
[-1,7,6,8,4,3,5,2]=>[-4,-1,-8,-6,3,5,-7,2]
[-1,6,7,8,3,4,5,2]=>[3,-1,7,8,4,5,-6,2]
[8,6,7,-1,3,4,2,5]=>[-1,3,6,7,-8,4,2,5]
[7,6,8,-1,3,2,4,5]=>[3,-7,6,8,-1,2,4,5]
[6,5,8,3,2,-1,4,7]=>[-8,-3,-5,-6,2,-1,4,7]
[7,5,8,3,-1,2,4,6]=>[7,5,3,8,-1,2,4,6]
[8,5,7,3,-1,4,2,6]=>[-3,7,-5,4,-8,-1,2,6]
[-1,5,7,3,8,4,6,2]=>[-8,-1,3,4,-7,6,-5,2]
[-1,4,3,7,8,5,6,2]=>[-1,-3,-4,8,5,6,-7,2]
[8,4,3,7,-1,5,2,6]=>[-8,7,-3,5,-1,-4,2,6]
[7,4,3,8,-1,2,5,6]=>[7,-4,3,-1,2,8,5,6]
[6,4,3,8,2,-1,5,7]=>[-3,8,2,-6,-4,-1,5,7]
[5,4,3,2,8,-1,6,7]=>[-2,-3,-4,-5,-1,8,6,7]
[3,2,5,4,-1,8,7,6]=>[-2,4,-3,-5,-1,-7,-8,6]
[4,5,2,3,-1,8,7,6]=>[5,2,3,-4,-1,-7,-8,6]
[5,4,3,2,-1,8,7,6]=>[-2,-3,-4,-5,-1,-7,-8,6]
[6,4,3,-1,2,8,7,5]=>[-4,-7,3,-1,2,-6,-8,5]
[7,4,3,-1,8,2,6,5]=>[6,-3,-4,-8,-1,2,-7,5]
[8,4,3,-1,7,6,2,5]=>[6,-7,-3,-1,-8,-4,2,5]
[-1,4,3,8,7,6,5,2]=>[-1,-3,5,-4,-6,-7,-8,2]
[-1,5,8,3,7,6,4,2]=>[-1,-6,3,4,-7,-5,-8,2]
[8,5,-1,3,7,6,2,4]=>[3,5,-7,-1,-8,6,2,4]
[7,5,-1,3,8,2,6,4]=>[-8,3,-5,-1,6,2,-7,4]
[6,5,-1,3,2,8,7,4]=>[-7,3,-1,-5,2,-6,-8,4]
[5,6,-1,2,3,8,7,4]=>[-1,6,7,2,3,-5,-8,4]
[4,6,2,-1,3,8,7,5]=>[-7,-4,2,-1,3,-6,-8,5]
[3,2,6,-1,4,8,7,5]=>[-2,-3,7,-1,4,-6,-8,5]
[3,2,7,-1,8,4,6,5]=>[-2,-3,6,-8,-1,4,-7,5]
[4,7,2,-1,8,3,6,5]=>[-6,-8,2,-1,-4,3,-7,5]
[5,7,-1,2,8,3,6,4]=>[-1,8,6,2,-7,3,-5,4]
[6,7,-1,8,2,3,5,4]=>[7,8,5,-1,2,3,-6,4]
[7,6,-1,8,3,2,5,4]=>[-5,-3,-8,-6,-1,2,-7,4]
[8,6,-1,7,3,5,2,4]=>[7,-8,3,-6,-1,5,2,4]
[-1,6,8,7,3,5,4,2]=>[-5,-1,-7,3,4,-6,-8,2]
[-1,7,8,6,5,3,4,2]=>[-5,-1,-6,-8,3,4,-7,2]
[8,7,-1,6,5,3,2,4]=>[5,3,-6,-7,-8,-1,2,4]
[7,8,-1,6,5,2,3,4]=>[-8,-1,-7,6,2,5,3,4]
[6,8,-1,7,2,5,3,4]=>[-1,-8,7,2,-6,5,3,4]
[5,8,-1,2,7,6,3,4]=>[-1,7,2,-5,-8,6,3,4]
[4,8,2,-1,7,6,3,5]=>[6,-7,2,-1,-8,-4,3,5]
[3,2,8,-1,7,6,4,5]=>[-2,-3,-1,-7,-8,6,4,5]
[3,2,-1,8,7,6,5,4]=>[-2,-3,-1,-5,-6,-7,-8,4]
[4,-1,2,8,7,6,5,3]=>[5,-1,2,-4,-6,-7,-8,3]
[5,-1,8,2,7,6,4,3]=>[4,-1,-6,2,-7,-5,-8,3]
[6,-1,8,7,2,5,4,3]=>[4,-5,-7,-1,2,-6,-8,3]
[7,-1,8,6,5,2,4,3]=>[4,-5,-6,-8,-1,2,-7,3]
[8,-1,7,6,5,4,2,3]=>[-1,-5,-6,-7,-8,4,2,3]
[-1,8,7,6,5,4,3,2]=>[-1,-3,-4,-5,-6,-7,-8,2]
[6,8,2,4,5,7,1,3]=>[-2,6,4,8,5,7,1,3]
[3,7,8,4,5,2,6,1]=>[-4,8,5,-3,2,6,-7,1]
[7,8,1,4,5,3,6,2]=>[1,8,5,-4,3,6,-7,2]
[3,8,7,4,1,6,5,2]=>[5,-4,-6,-7,1,-3,-8,2]
[4,8,3,6,1,5,7,2]=>[8,6,-3,5,1,7,-4,2]
[5,8,3,1,6,4,7,2]=>[-3,-6,4,1,-8,7,-5,2]
[5,8,1,4,7,6,3,2]=>[4,1,6,3,-7,-5,-8,2]
[9,8,7,6,5,4,3,2,1]=>[-2,-3,-4,-5,-6,-7,-8,-9,1]
[8,9,7,6,5,4,3,2,1]=>[2,-3,-4,-5,-6,-7,-9,-8,1]
[8,7,9,6,5,4,3,2,1]=>[-3,2,-4,-5,-6,-9,-7,-8,1]
[8,7,6,9,5,4,3,2,1]=>[-3,-4,2,-5,-9,-6,-7,-8,1]
[8,7,6,5,9,4,3,2,1]=>[-3,-4,-9,2,-5,-6,-7,-8,1]
[8,7,6,5,4,9,3,2,1]=>[-3,-9,-4,-5,2,-6,-7,-8,1]
[8,7,6,5,4,3,9,2,1]=>[-9,-3,-4,-5,-6,2,-7,-8,1]
[8,7,6,5,4,3,2,9,1]=>[-2,-3,-4,-5,-6,-7,9,-8,1]
[8,7,6,5,4,3,2,1,9]=>[-2,-3,-4,-5,-6,-7,-8,1,9]
[7,8,9,6,5,4,3,2,1]=>[3,2,-4,-5,-6,-9,-8,-7,1]
[8,6,7,9,5,4,3,2,1]=>[4,3,2,-5,-9,-7,-6,-8,1]
[8,7,5,6,9,4,3,2,1]=>[-9,4,3,2,-6,-5,-7,-8,1]
[8,7,6,4,5,9,3,2,1]=>[-5,-4,9,3,2,-6,-7,-8,1]
[8,7,6,5,3,4,9,2,1]=>[-3,-5,-6,4,9,2,-7,-8,1]
[8,7,6,5,4,2,3,9,1]=>[-4,-5,-6,-7,2,3,9,-8,1]
[8,7,6,5,4,3,1,2,9]=>[-4,-5,-6,-7,-8,3,1,2,9]
[2,3,4,5,6,7,9,1,8]=>[3,4,5,6,7,-2,9,1,8]
[3,1,4,5,6,7,8,9,2]=>[-4,1,5,6,7,8,9,-3,2]
[9,3,4,5,6,7,1,2,8]=>[3,4,5,6,9,7,1,2,8]
[9,1,4,5,6,7,8,2,3]=>[-4,1,5,6,9,7,8,2,3]
[2,9,4,5,6,7,1,3,8]=>[-2,4,9,5,6,7,1,3,8]
[7,3,4,5,6,1,9,2,8]=>[7,5,6,-4,9,1,-3,2,8]
[3,1,9,5,6,7,8,2,4]=>[9,5,1,-3,6,7,8,2,4]
[8,1,4,5,6,7,2,9,3]=>[1,8,6,7,9,-5,2,-4,3]
[2,3,9,5,6,7,1,4,8]=>[-9,-2,3,5,6,7,1,4,8]
[9,7,4,5,6,1,2,3,8]=>[1,4,9,7,5,6,2,3,8]
[6,3,4,5,1,7,9,2,8]=>[4,5,7,-6,1,-3,9,2,8]
[3,1,4,9,6,7,8,2,5]=>[-4,-3,-9,1,6,7,8,2,5]
[9,1,8,5,6,7,2,3,4]=>[9,5,1,2,8,6,7,3,4]
[7,1,4,5,6,2,8,9,3]=>[1,5,6,8,-7,2,9,-4,3]
[1,9,8,7,6,5,4,3,2]=>[1,-3,-4,-5,-6,-7,-8,-9,2]
[7,8,6,5,4,3,2,1,9]=>[2,-3,-4,-5,-6,-8,-7,1,9]
[1,8,9,7,6,5,4,3,2]=>[1,3,-4,-5,-6,-7,-9,-8,2]
[7,6,8,5,4,3,2,1,9]=>[-3,2,-4,-5,-8,-6,-7,1,9]
[6,8,7,5,4,3,2,1,9]=>[2,-3,-4,-5,-7,-6,-8,1,9]
[1,8,7,9,6,5,4,3,2]=>[1,-4,3,-5,-6,-9,-7,-8,2]
[1,7,9,8,6,5,4,3,2]=>[1,3,-4,-5,-6,-8,-7,-9,2]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,-9,8]
[2,1,3,4,5,6,7,8,9]=>[-2,1,3,4,5,6,7,8,9]
[8,1,2,3,4,5,6,9,7]=>[1,2,3,4,9,5,6,-8,7]
[2,9,1,3,4,5,6,7,8]=>[-2,1,3,4,5,6,9,7,8]
[1,8,2,3,4,5,6,9,7]=>[1,2,9,3,4,5,6,-8,7]
[7,1,2,3,4,5,6,9,8]=>[1,2,3,4,7,5,6,-9,8]
[2,1,9,3,4,5,6,7,8]=>[-2,1,9,3,4,5,6,7,8]
[2,8,1,3,4,5,6,7,9]=>[-2,1,3,4,5,8,6,7,9]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,-8,7]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,8,9,-7,6]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,7,8,9,-6,5]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,6,7,8,9,-5,4]
[1,2,4,5,6,7,8,9,3]=>[1,2,5,6,7,8,9,-4,3]
[1,3,4,5,6,7,8,9,2]=>[1,4,5,6,7,8,9,-3,2]
[2,3,4,5,6,7,8,9,1]=>[3,4,5,6,7,8,9,-2,1]
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,-9,6,7,8]
[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,-9,6,-8,7]
[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,-8,5,9,-7,6]
[1,2,3,6,4,7,8,9,5]=>[1,2,3,-7,4,8,9,-6,5]
[1,2,5,3,6,7,8,9,4]=>[1,2,-6,3,7,8,9,-5,4]
[1,4,2,5,6,7,8,9,3]=>[1,-5,2,6,7,8,9,-4,3]
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,9,7,8]
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,8,9,6,7]
[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,9,5,8,6,7]
[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,7,8,9,5,6]
[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,9,7,8,5,6]
[9,8,7,1,2,3,4,5,6]=>[1,2,9,3,8,4,7,5,6]
[6,7,8,9,1,2,3,4,5]=>[1,2,3,6,7,8,9,4,5]
[9,6,7,8,1,2,3,4,5]=>[1,2,3,6,9,7,8,4,5]
[8,9,6,7,1,2,3,4,5]=>[1,2,3,8,9,6,7,4,5]
[9,8,6,7,1,2,3,4,5]=>[1,2,9,3,8,6,7,4,5]
[9,8,7,6,1,2,3,4,5]=>[9,1,8,2,7,3,6,4,5]
[9,5,6,7,8,1,2,3,4]=>[1,2,5,6,9,7,8,3,4]
[8,9,5,6,7,1,2,3,4]=>[1,2,5,8,9,6,7,3,4]
[9,8,5,6,7,1,2,3,4]=>[1,2,9,5,8,6,7,3,4]
[9,7,8,5,6,1,2,3,4]=>[1,2,9,7,8,5,6,3,4]
[9,8,7,5,6,1,2,3,4]=>[9,1,8,2,7,5,6,3,4]
[9,8,7,6,5,1,2,3,4]=>[-8,-9,7,1,6,2,5,3,4]
[7,8,9,4,5,6,1,2,3]=>[1,4,7,8,9,5,6,2,3]
[9,7,8,4,5,6,1,2,3]=>[1,4,9,7,8,5,6,2,3]
[9,8,7,4,5,6,1,2,3]=>[9,1,8,4,7,5,6,2,3]
[8,9,6,7,4,5,1,2,3]=>[1,8,9,6,7,4,5,2,3]
[9,8,6,7,4,5,1,2,3]=>[9,1,8,6,7,4,5,2,3]
[9,8,7,6,4,5,1,2,3]=>[-8,-9,7,1,6,4,5,2,3]
[9,8,7,6,5,4,1,2,3]=>[-6,-7,-8,-9,5,1,4,2,3]
[9,7,8,5,6,3,4,1,2]=>[9,7,8,5,6,3,4,1,2]
[9,8,7,5,6,3,4,1,2]=>[-8,-9,7,5,6,3,4,1,2]
[9,8,7,6,5,3,4,1,2]=>[-6,-7,-8,-9,5,3,4,1,2]
[9,8,7,6,5,4,3,1,2]=>[-4,-5,-6,-7,-8,-9,3,1,2]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,-8,-9,7]
[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,-7,9,-8,6]
[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,-6,8,9,-7,5]
[1,2,3,6,5,7,8,9,4]=>[1,2,3,-5,7,8,9,-6,4]
[1,2,5,4,6,7,8,9,3]=>[1,2,-4,6,7,8,9,-5,3]
[1,4,3,5,6,7,8,9,2]=>[1,-3,5,6,7,8,9,-4,2]
[3,2,4,5,6,7,8,9,1]=>[-2,4,5,6,7,8,9,-3,1]
[9,1,2,3,4,5,8,6,7]=>[1,2,3,4,5,-9,8,6,7]
[9,1,2,3,4,8,5,6,7]=>[1,2,3,-9,4,5,8,6,7]
[8,1,2,3,9,4,5,6,7]=>[-8,1,2,3,9,4,5,6,7]
[9,1,2,8,3,4,5,6,7]=>[9,1,2,3,4,5,8,6,7]
[9,1,8,2,3,4,5,6,7]=>[1,2,9,3,4,5,8,6,7]
[7,1,2,3,4,5,8,9,6]=>[1,2,3,8,4,5,9,-7,6]
[6,1,2,3,4,9,8,5,7]=>[1,2,3,8,4,-9,-6,5,7]
[5,1,2,3,9,8,4,6,7]=>[1,2,3,-9,8,-5,4,6,7]
[4,1,2,8,9,3,5,6,7]=>[1,2,-4,8,3,5,9,6,7]
[3,1,9,8,2,4,5,6,7]=>[9,1,-3,2,8,4,5,6,7]
[2,9,8,1,3,4,5,6,7]=>[-2,1,9,3,4,5,8,6,7]
[9,1,2,3,4,7,8,5,6]=>[1,2,3,-9,4,7,8,5,6]
[9,1,2,3,6,8,4,5,7]=>[1,-9,2,3,6,4,8,5,7]
[6,1,2,3,4,7,8,9,5]=>[1,2,7,3,4,8,9,-6,5]
[8,1,2,5,9,3,4,6,7]=>[-8,1,2,5,3,4,9,6,7]
[5,1,2,3,6,9,8,4,7]=>[1,6,2,3,-5,-9,8,4,7]
[9,1,4,8,2,3,5,6,7]=>[1,4,9,2,3,5,8,6,7]
[4,1,2,5,9,8,3,6,7]=>[5,1,2,-9,-4,3,8,6,7]
[9,3,8,1,2,4,5,6,7]=>[3,1,2,4,9,5,8,6,7]
[3,1,4,8,9,2,5,6,7]=>[-4,1,-3,2,5,8,9,6,7]
[2,3,9,8,1,4,5,6,7]=>[9,3,-2,1,4,5,8,6,7]
[3,4,1,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]
[3,2,1,4,5,6,7,8,9]=>[-2,-3,1,4,5,6,7,8,9]
[4,5,6,1,2,3,7,8,9]=>[1,4,5,6,2,3,7,8,9]
[4,2,5,1,3,6,7,8,9]=>[-4,-2,5,1,3,6,7,8,9]
[4,3,2,1,5,6,7,8,9]=>[-2,-3,-4,1,5,6,7,8,9]
[5,6,7,8,1,2,3,4,9]=>[1,2,5,6,7,8,3,4,9]
[5,2,6,7,1,3,4,8,9]=>[5,-2,1,6,7,3,4,8,9]
[5,6,3,4,1,2,7,8,9]=>[5,6,3,4,1,2,7,8,9]
[5,3,2,6,1,4,7,8,9]=>[-2,-5,-3,6,1,4,7,8,9]
[5,4,3,2,1,6,7,8,9]=>[-2,-3,-4,-5,1,6,7,8,9]
[6,2,7,8,9,1,3,4,5]=>[-2,6,1,3,7,8,9,4,5]
[6,7,3,4,8,1,2,5,9]=>[3,6,7,4,1,8,2,5,9]
[6,3,2,7,8,1,4,5,9]=>[-6,-2,-3,1,7,8,4,5,9]
[6,4,7,2,5,1,3,8,9]=>[-6,7,-4,2,5,1,3,8,9]
[6,4,3,2,7,1,5,8,9]=>[-2,-3,-6,-4,7,1,5,8,9]
[6,5,4,3,2,1,7,8,9]=>[-2,-3,-4,-5,-6,1,7,8,9]
[7,4,8,2,5,9,1,3,6]=>[7,-4,8,2,5,1,9,3,6]
[7,4,3,2,8,9,1,5,6]=>[-2,-7,-3,-4,1,8,9,5,6]
[7,8,5,6,3,4,1,2,9]=>[7,8,5,6,3,4,1,2,9]
[7,5,3,8,2,6,1,4,9]=>[8,-7,-3,-5,2,6,1,4,9]
[7,5,4,3,2,8,1,6,9]=>[-2,-3,-4,-7,-5,8,1,6,9]
[7,6,5,4,3,2,1,8,9]=>[-2,-3,-4,-5,-6,-7,1,8,9]
[8,6,9,4,7,2,5,1,3]=>[-8,9,4,2,-6,7,5,1,3]
[8,6,4,3,9,2,7,1,5]=>[9,-3,-8,-4,-6,2,7,1,5]
[8,6,5,4,3,2,9,1,7]=>[-2,-3,-4,-5,-8,-6,9,1,7]
[8,7,6,4,5,3,2,1,9]=>[-5,-4,3,2,-6,-7,-8,1,9]
[1,9,8,7,5,6,4,3,2]=>[-4,-6,-5,1,3,-7,-8,-9,2]
[8,7,5,4,6,3,2,1,9]=>[-3,-6,-4,2,-7,-8,-5,1,9]
[8,7,4,6,5,3,2,1,9]=>[-5,3,2,-4,-6,-7,-8,1,9]
[1,9,8,6,5,7,4,3,2]=>[1,-4,-7,-5,3,-8,-9,-6,2]
[1,9,8,5,7,6,4,3,2]=>[-4,-6,1,3,-5,-7,-8,-9,2]
[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,8,6,7,9]
[1,9,2,3,4,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]
[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,7,8,5,6,9]
[1,8,9,2,3,4,5,6,7]=>[1,2,3,8,4,5,9,6,7]
[7,1,8,2,3,4,5,6,9]=>[1,2,7,8,3,4,5,6,9]
[6,8,1,2,3,4,5,7,9]=>[1,2,3,6,4,8,5,7,9]
[1,8,2,9,3,4,5,6,7]=>[1,8,9,2,3,4,5,6,7]
[1,7,9,2,3,4,5,6,8]=>[1,2,7,3,4,5,9,6,8]
[2,3,4,5,6,7,8,1,9]=>[3,4,5,6,7,8,-2,1,9]
[2,3,4,5,6,8,9,1,7]=>[3,4,5,6,-2,8,9,1,7]
[2,3,4,5,7,8,9,1,6]=>[3,4,5,-2,7,8,9,1,6]
[2,3,4,6,7,8,9,1,5]=>[3,4,-2,6,7,8,9,1,5]
[2,3,5,6,7,8,9,1,4]=>[3,-2,5,6,7,8,9,1,4]
[2,4,5,6,7,8,9,1,3]=>[-2,4,5,6,7,8,9,1,3]
[3,4,5,6,7,8,9,1,2]=>[3,4,5,6,7,8,9,1,2]
[2,3,4,5,6,7,1,8,9]=>[3,4,5,6,7,-2,1,8,9]
[2,3,4,5,6,1,9,7,8]=>[3,4,5,6,-2,-9,1,7,8]
[2,3,4,5,1,8,9,6,7]=>[3,4,5,-2,-8,1,9,6,7]
[2,3,4,1,7,8,9,5,6]=>[3,4,-2,-7,1,8,9,5,6]
[2,3,1,6,7,8,9,4,5]=>[3,-2,-6,1,7,8,9,4,5]
[2,1,5,6,7,8,9,3,4]=>[-2,-5,1,6,7,8,9,3,4]
[1,4,5,6,7,8,9,2,3]=>[-4,1,5,6,7,8,9,2,3]
[9,2,1,3,4,5,6,7,8]=>[-2,1,3,4,9,5,6,7,8]
[9,3,1,2,4,5,6,7,8]=>[3,1,2,4,9,5,6,7,8]
[9,2,3,1,4,5,6,7,8]=>[2,3,9,1,4,5,6,7,8]
[4,2,3,5,6,7,8,9,1]=>[2,3,5,6,7,8,9,-4,1]
[3,4,2,5,6,7,8,9,1]=>[2,-4,5,6,7,8,9,-3,1]
[7,1,2,3,4,5,6,8,9]=>[1,2,3,4,7,5,6,8,9]
[2,1,4,3,6,5,8,7,9]=>[-2,1,-4,3,-6,5,-8,7,9]
[2,4,1,3,6,5,8,7,9]=>[-2,4,1,3,-6,5,-8,7,9]
[2,4,1,6,3,5,8,7,9]=>[-2,6,1,-4,3,5,-8,7,9]
[2,4,1,6,3,8,5,7,9]=>[-2,8,1,-4,3,-6,5,7,9]
[2,4,1,6,3,8,5,9,7]=>[9,-2,1,-4,3,-6,5,-8,7]
[2,4,1,6,3,7,5,9,8]=>[7,-2,1,-4,3,-6,5,-9,8]
[2,4,1,5,3,7,6,9,8]=>[5,-2,1,-4,3,-7,6,-9,8]
[2,3,1,5,4,7,6,9,8]=>[3,-2,1,-5,4,-7,6,-9,8]
[1,3,2,5,4,7,6,9,8]=>[1,-3,2,-5,4,-7,6,-9,8]
[2,4,6,1,3,5,8,7,9]=>[-2,4,1,6,3,5,-8,7,9]
[2,4,1,6,8,3,5,7,9]=>[-2,6,1,-4,3,8,5,7,9]
[2,4,1,6,3,8,9,5,7]=>[-2,8,1,-4,3,-6,9,5,7]
[2,4,1,6,3,7,5,8,9]=>[7,-2,1,-4,3,-6,5,8,9]
[2,4,1,5,3,8,6,9,7]=>[5,-2,1,-4,3,-9,6,-8,7]
[2,3,1,6,4,7,5,9,8]=>[3,-2,1,-7,4,-6,5,-9,8]
[1,4,2,5,3,7,6,9,8]=>[1,-5,2,-4,3,-7,6,-9,8]
[10,9,8,7,6,5,4,3,2,1]=>[-2,-3,-4,-5,-6,-7,-8,-9,-10,1]
[9,10,8,7,6,5,4,3,2,1]=>[2,-3,-4,-5,-6,-7,-8,-10,-9,1]
[9,8,10,7,6,5,4,3,2,1]=>[-3,2,-4,-5,-6,-7,-10,-8,-9,1]
[9,8,7,10,6,5,4,3,2,1]=>[-3,-4,2,-5,-6,-10,-7,-8,-9,1]
[9,8,7,6,10,5,4,3,2,1]=>[-3,-4,-5,2,-10,-6,-7,-8,-9,1]
[9,8,7,6,5,10,4,3,2,1]=>[-3,-4,-10,-5,2,-6,-7,-8,-9,1]
[9,8,7,6,5,4,10,3,2,1]=>[-3,-10,-4,-5,-6,2,-7,-8,-9,1]
[9,8,7,6,5,4,3,10,2,1]=>[-10,-3,-4,-5,-6,-7,2,-8,-9,1]
[9,8,7,6,5,4,3,2,10,1]=>[-2,-3,-4,-5,-6,-7,-8,10,-9,1]
[9,8,7,6,5,4,3,2,1,10]=>[-2,-3,-4,-5,-6,-7,-8,-9,1,10]
[2,3,4,5,6,7,8,10,1,9]=>[3,4,5,6,7,8,-2,10,1,9]
[3,1,4,5,6,7,8,9,10,2]=>[-4,1,5,6,7,8,9,10,-3,2]
[10,3,4,5,6,7,8,1,2,9]=>[3,4,5,6,7,10,8,1,2,9]
[10,1,4,5,6,7,8,9,2,3]=>[-4,1,5,6,7,10,8,9,2,3]
[2,10,4,5,6,7,8,1,3,9]=>[-2,4,5,10,6,7,8,1,3,9]
[8,3,4,5,6,7,1,10,2,9]=>[5,8,6,7,-4,10,1,-3,2,9]
[3,1,10,5,6,7,8,9,2,4]=>[10,1,5,-3,6,7,8,9,2,4]
[9,1,4,5,6,7,8,2,10,3]=>[1,6,9,7,8,10,-5,2,-4,3]
[2,1,4,3,6,5,8,7,10,9]=>[-2,1,-4,3,-6,5,-8,7,-10,9]
[2,1,4,3,6,5,9,10,8,7]=>[-2,1,-4,3,-6,5,8,-10,-9,7]
[2,1,4,3,7,8,6,5,10,9]=>[-2,1,-4,3,6,-8,-7,5,-10,9]
[2,1,4,3,7,9,6,10,8,5]=>[-2,1,-4,3,6,-10,8,-7,-9,5]
[2,1,4,3,8,9,10,7,6,5]=>[-2,1,-4,3,7,6,-10,-9,-8,5]
[2,1,5,6,4,3,8,7,10,9]=>[-2,1,4,-6,-5,3,-8,7,-10,9]
[2,1,5,6,4,3,9,10,8,7]=>[-2,1,4,-6,-5,3,8,-10,-9,7]
[2,1,5,7,4,8,6,3,10,9]=>[-2,1,4,-8,6,-5,-7,3,-10,9]
[2,1,5,7,4,9,6,10,8,3]=>[-2,1,4,-10,6,-5,8,-7,-9,3]
[2,1,5,8,4,9,10,7,6,3]=>[-2,1,4,-10,7,6,-5,-9,-8,3]
[2,1,6,7,8,5,4,3,10,9]=>[-2,1,5,4,-8,-7,-6,3,-10,9]
[2,1,6,7,9,5,4,10,8,3]=>[-2,1,5,4,-10,-7,8,-6,-9,3]
[2,1,6,8,9,5,10,7,4,3]=>[-2,1,5,7,-10,4,-9,-6,-8,3]
[2,1,7,8,9,10,6,5,4,3]=>[-2,1,6,5,4,-10,-9,-8,-7,3]
[3,4,2,1,6,5,8,7,10,9]=>[2,-4,-3,1,-6,5,-8,7,-10,9]
[3,4,2,1,6,5,9,10,8,7]=>[2,-4,-3,1,-6,5,8,-10,-9,7]
[3,4,2,1,7,8,6,5,10,9]=>[2,-4,-3,1,6,-8,-7,5,-10,9]
[3,4,2,1,7,9,6,10,8,5]=>[2,-4,-3,1,6,-10,8,-7,-9,5]
[3,4,2,1,8,9,10,7,6,5]=>[2,-4,-3,1,7,6,-10,-9,-8,5]
[3,5,2,6,4,1,8,7,10,9]=>[2,-6,4,-3,-5,1,-8,7,-10,9]
[3,5,2,6,4,1,9,10,8,7]=>[2,-6,4,-3,-5,1,8,-10,-9,7]
[3,5,2,7,4,8,6,1,10,9]=>[2,-8,4,-3,6,-5,-7,1,-10,9]
[3,5,2,7,4,9,6,10,8,1]=>[2,-10,4,-3,6,-5,8,-7,-9,1]
[3,5,2,8,4,9,10,7,6,1]=>[2,-10,4,-3,7,6,-5,-9,-8,1]
[3,6,2,7,8,5,4,1,10,9]=>[2,-8,5,4,-3,-7,-6,1,-10,9]
[3,6,2,7,9,5,4,10,8,1]=>[2,-10,5,4,-3,-7,8,-6,-9,1]
[3,6,2,8,9,5,10,7,4,1]=>[2,-10,5,7,-3,4,-9,-6,-8,1]
[3,7,2,8,9,10,6,5,4,1]=>[2,-10,6,5,4,-3,-9,-8,-7,1]
[4,5,6,3,2,1,8,7,10,9]=>[3,2,-6,-5,-4,1,-8,7,-10,9]
[4,5,6,3,2,1,9,10,8,7]=>[3,2,-6,-5,-4,1,8,-10,-9,7]
[4,5,7,3,2,8,6,1,10,9]=>[3,2,-8,-5,6,-4,-7,1,-10,9]
[4,5,7,3,2,9,6,10,8,1]=>[3,2,-10,-5,6,-4,8,-7,-9,1]
[4,5,8,3,2,9,10,7,6,1]=>[3,2,-10,-5,7,6,-4,-9,-8,1]
[4,6,7,3,8,5,2,1,10,9]=>[3,5,-8,2,-7,-4,-6,1,-10,9]
[4,6,7,3,9,5,2,10,8,1]=>[3,5,-10,2,-7,-4,8,-6,-9,1]
[4,6,8,3,9,5,10,7,2,1]=>[3,5,-10,7,-9,2,-4,-6,-8,1]
[4,7,8,3,9,10,6,5,2,1]=>[3,6,-10,5,2,-9,-4,-8,-7,1]
[5,6,7,8,4,3,2,1,10,9]=>[4,3,2,-8,-7,-6,-5,1,-10,9]
[5,6,7,9,4,3,2,10,8,1]=>[4,3,2,-10,-7,-6,8,-5,-9,1]
[5,6,8,9,4,3,10,7,2,1]=>[4,3,7,-10,-9,2,-6,-5,-8,1]
[5,7,8,9,4,10,6,3,2,1]=>[4,6,3,-10,2,-9,-8,-5,-7,1]
[6,7,8,9,10,5,4,3,2,1]=>[5,4,3,2,-10,-9,-8,-7,-6,1]
[2,1,4,3,6,5,10,9,8,7]=>[-2,1,-4,3,-6,5,-8,-9,-10,7]
[2,1,4,3,8,7,6,5,10,9]=>[-2,1,-4,3,-6,-7,-8,5,-10,9]
[2,1,4,3,10,7,6,9,8,5]=>[-2,1,-4,3,-6,-9,8,-7,-10,5]
[2,1,4,3,10,9,8,7,6,5]=>[-2,1,-4,3,-6,-7,-8,-9,-10,5]
[2,1,6,5,4,3,8,7,10,9]=>[-2,1,-4,-5,-6,3,-8,7,-10,9]
[2,1,6,5,4,3,10,9,8,7]=>[-2,1,-4,-5,-6,3,-8,-9,-10,7]
[2,1,8,5,4,7,6,3,10,9]=>[-2,1,-4,-7,6,-5,-8,3,-10,9]
[2,1,10,5,4,7,6,9,8,3]=>[-2,1,-4,-7,-5,6,8,-9,-10,3]
[2,1,10,5,4,9,8,7,6,3]=>[-2,1,-4,-7,6,-5,-8,-9,-10,3]
[2,1,8,7,6,5,4,3,10,9]=>[-2,1,-4,-5,-6,-7,-8,3,-10,9]
[2,1,10,7,6,5,4,9,8,3]=>[-2,1,-4,-5,-6,-9,8,-7,-10,3]
[2,1,10,9,6,5,8,7,4,3]=>[-2,1,-7,-5,-8,4,-9,-6,-10,3]
[2,1,10,9,8,7,6,5,4,3]=>[-2,1,-4,-5,-6,-7,-8,-9,-10,3]
[4,3,2,1,6,5,8,7,10,9]=>[-2,-3,-4,1,-6,5,-8,7,-10,9]
[4,3,2,1,6,5,10,9,8,7]=>[-2,-3,-4,1,-6,5,-8,-9,-10,7]
[4,3,2,1,8,7,6,5,10,9]=>[-2,-3,-4,1,-6,-7,-8,5,-10,9]
[4,3,2,1,10,7,6,9,8,5]=>[-2,-3,-4,1,-6,-9,8,-7,-10,5]
[4,3,2,1,10,9,8,7,6,5]=>[-2,-3,-4,1,-6,-7,-8,-9,-10,5]
[6,3,2,5,4,1,8,7,10,9]=>[-2,-5,4,-3,-6,1,-8,7,-10,9]
[6,3,2,5,4,1,10,9,8,7]=>[-2,-5,4,-3,-6,1,-8,-9,-10,7]
[8,3,2,5,4,7,6,1,10,9]=>[-2,-5,-3,4,6,-7,-8,1,-10,9]
[10,3,2,5,4,7,6,9,8,1]=>[-2,-5,-3,4,-7,6,8,-9,-10,1]
[10,3,2,5,4,9,8,7,6,1]=>[-2,-5,-3,4,6,-7,-8,-9,-10,1]
[8,3,2,7,6,5,4,1,10,9]=>[-2,-5,4,-3,-6,-7,-8,1,-10,9]
[10,3,2,7,6,5,4,9,8,1]=>[-2,-5,4,-3,-6,-9,8,-7,-10,1]
[10,3,2,9,6,5,8,7,4,1]=>[-2,-5,-3,-6,7,4,-8,-9,-10,1]
[10,3,2,9,8,7,6,5,4,1]=>[-2,-5,4,-3,-6,-7,-8,-9,-10,1]
[6,5,4,3,2,1,8,7,10,9]=>[-2,-3,-4,-5,-6,1,-8,7,-10,9]
[6,5,4,3,2,1,10,9,8,7]=>[-2,-3,-4,-5,-6,1,-8,-9,-10,7]
[8,5,4,3,2,7,6,1,10,9]=>[-2,-3,-4,-7,6,-5,-8,1,-10,9]
[10,5,4,3,2,7,6,9,8,1]=>[-2,-3,-4,-7,-5,6,8,-9,-10,1]
[10,5,4,3,2,9,8,7,6,1]=>[-2,-3,-4,-7,6,-5,-8,-9,-10,1]
[8,7,4,3,6,5,2,1,10,9]=>[-5,-3,-6,2,-7,-4,-8,1,-10,9]
[10,7,4,3,6,5,2,9,8,1]=>[-5,-3,-6,2,-7,-9,8,-4,-10,1]
[10,9,4,3,6,5,8,7,2,1]=>[-5,-3,-8,-6,7,2,-4,-9,-10,1]
[10,9,4,3,8,7,6,5,2,1]=>[-5,-3,-6,2,-7,-4,-8,-9,-10,1]
[8,7,6,5,4,3,2,1,10,9]=>[-2,-3,-4,-5,-6,-7,-8,1,-10,9]
[10,7,6,5,4,3,2,9,8,1]=>[-2,-3,-4,-5,-6,-9,8,-7,-10,1]
[10,9,6,5,4,3,8,7,2,1]=>[-7,-3,-4,-5,-8,2,-9,-6,-10,1]
[10,9,8,5,4,7,6,3,2,1]=>[-3,-6,-4,-7,2,-8,-9,-5,-10,1]
[1,10,9,8,7,6,5,4,3,2]=>[1,-3,-4,-5,-6,-7,-8,-9,-10,2]
[8,9,7,6,5,4,3,2,1,10]=>[2,-3,-4,-5,-6,-7,-9,-8,1,10]
[1,9,10,8,7,6,5,4,3,2]=>[1,3,-4,-5,-6,-7,-8,-10,-9,2]
[10,8,9,5,6,7,1,2,3,4]=>[1,2,5,10,8,9,6,7,3,4]
[10,8,9,4,5,6,1,2,3,7]=>[1,4,5,10,8,9,6,2,3,7]
[10,7,8,5,6,9,1,2,3,4]=>[1,2,7,10,8,5,6,9,3,4]
[10,7,8,4,5,9,1,2,3,6]=>[1,4,7,10,8,5,2,9,3,6]
[10,6,7,4,5,8,1,2,3,9]=>[1,6,7,10,4,5,8,2,3,9]
[10,7,8,3,4,9,1,2,5,6]=>[3,4,7,10,8,1,2,9,5,6]
[10,6,7,3,4,8,1,2,5,9]=>[3,6,7,10,4,1,8,2,5,9]
[9,8,10,5,6,7,1,2,3,4]=>[1,2,9,5,8,10,6,7,3,4]
[9,8,10,4,5,6,1,2,3,7]=>[1,4,9,5,8,10,6,2,3,7]
[9,7,10,5,6,8,1,2,3,4]=>[1,2,9,7,5,10,6,8,3,4]
[9,7,10,4,5,8,1,2,3,6]=>[1,4,9,7,5,10,2,8,3,6]
[9,6,10,4,5,7,1,2,3,8]=>[1,6,9,4,5,10,7,2,3,8]
[9,7,10,3,4,8,1,2,5,6]=>[3,4,9,7,1,10,2,8,5,6]
[9,6,10,3,4,7,1,2,5,8]=>[3,6,9,4,1,10,7,2,5,8]
[8,7,9,5,6,10,1,2,3,4]=>[1,8,2,7,9,5,6,10,3,4]
[8,7,9,4,5,10,1,2,3,6]=>[1,8,4,7,9,5,2,10,3,6]
[8,6,9,4,5,10,1,2,3,7]=>[1,8,6,4,9,5,2,10,3,7]
[7,6,8,4,5,9,1,2,3,10]=>[7,1,6,8,4,5,9,2,3,10]
[8,7,9,3,4,10,1,2,5,6]=>[3,8,4,7,9,1,2,10,5,6]
[8,6,9,3,4,10,1,2,5,7]=>[3,8,6,4,9,1,2,10,5,7]
[7,6,8,3,4,9,1,2,5,10]=>[7,3,6,8,4,1,9,2,5,10]
[9,6,10,5,7,8,1,2,3,4]=>[1,6,9,2,5,10,7,8,3,4]
[9,6,10,4,7,8,1,2,3,5]=>[1,6,9,4,2,10,7,8,3,5]
[9,5,10,4,6,7,1,2,3,8]=>[5,1,9,4,6,10,7,2,3,8]
[9,6,10,3,7,8,1,2,4,5]=>[3,6,9,1,2,10,7,8,4,5]
[9,5,10,3,6,7,1,2,4,8]=>[5,3,9,1,6,10,7,2,4,8]
[8,6,9,5,7,10,1,2,3,4]=>[6,1,8,2,9,5,7,10,3,4]
[8,6,9,4,7,10,1,2,3,5]=>[6,1,8,4,9,2,7,10,3,5]
[8,5,9,4,6,10,1,2,3,7]=>[-5,1,8,4,9,6,2,10,3,7]
[7,5,8,4,6,9,1,2,3,10]=>[-5,7,1,8,4,6,9,2,3,10]
[8,6,9,3,7,10,1,2,4,5]=>[6,3,8,1,9,2,7,10,4,5]
[8,5,9,3,6,10,1,2,4,7]=>[-5,3,8,1,9,6,2,10,4,7]
[7,5,8,3,6,9,1,2,4,10]=>[-5,7,3,8,1,6,9,2,4,10]
[8,4,9,3,5,10,1,2,6,7]=>[-4,8,3,5,9,1,2,10,6,7]
[7,4,8,3,5,9,1,2,6,10]=>[7,-4,3,8,5,1,9,2,6,10]
[9,6,10,2,7,8,1,3,4,5]=>[6,2,9,1,3,10,7,8,4,5]
[9,5,10,2,6,7,1,3,4,8]=>[-5,2,9,1,6,10,7,3,4,8]
[8,6,9,2,7,10,1,3,4,5]=>[6,2,8,9,1,3,7,10,4,5]
[8,5,9,2,6,10,1,3,4,7]=>[-5,2,8,9,1,6,3,10,4,7]
[7,5,8,2,6,9,1,3,4,10]=>[-5,7,8,2,1,6,9,3,4,10]
[8,4,9,2,5,10,1,3,6,7]=>[-4,8,2,9,5,1,3,10,6,7]
[7,4,8,2,5,9,1,3,6,10]=>[7,-4,8,2,5,1,9,3,6,10]
[2,4,6,8,10,1,3,5,7,9]=>[-2,4,1,6,3,8,5,10,7,9]
[2,4,6,9,10,1,3,5,7,8]=>[-2,4,1,6,3,5,9,10,7,8]
[2,4,7,8,10,1,3,5,6,9]=>[-2,4,1,3,7,8,5,10,6,9]
[2,4,7,9,10,1,3,5,6,8]=>[-2,4,1,3,7,5,9,10,6,8]
[2,4,8,9,10,1,3,5,6,7]=>[-2,4,1,3,5,8,9,10,6,7]
[2,5,6,8,10,1,3,4,7,9]=>[-2,1,5,6,3,8,4,10,7,9]
[2,5,6,9,10,1,3,4,7,8]=>[-2,1,5,6,3,4,9,10,7,8]
[2,5,7,8,10,1,3,4,6,9]=>[-2,1,5,3,7,8,4,10,6,9]
[2,5,7,9,10,1,3,4,6,8]=>[-2,1,5,3,7,4,9,10,6,8]
[2,5,8,9,10,1,3,4,6,7]=>[-2,1,5,3,4,8,9,10,6,7]
[2,6,7,8,10,1,3,4,5,9]=>[-2,1,3,6,7,8,4,10,5,9]
[2,6,7,9,10,1,3,4,5,8]=>[-2,1,3,6,7,4,9,10,5,8]
[2,6,8,9,10,1,3,4,5,7]=>[-2,1,3,6,4,8,9,10,5,7]
[2,7,8,9,10,1,3,4,5,6]=>[-2,1,3,4,7,8,9,10,5,6]
[3,4,6,8,10,1,2,5,7,9]=>[3,4,1,6,2,8,5,10,7,9]
[3,4,6,9,10,1,2,5,7,8]=>[3,4,1,6,2,5,9,10,7,8]
[3,4,7,8,10,1,2,5,6,9]=>[3,4,1,2,7,8,5,10,6,9]
[3,4,7,9,10,1,2,5,6,8]=>[3,4,1,2,7,5,9,10,6,8]
[3,4,8,9,10,1,2,5,6,7]=>[3,4,1,2,5,8,9,10,6,7]
[3,5,6,8,10,1,2,4,7,9]=>[3,1,5,6,2,8,4,10,7,9]
[3,5,6,9,10,1,2,4,7,8]=>[3,1,5,6,2,4,9,10,7,8]
[3,5,7,8,10,1,2,4,6,9]=>[3,1,5,2,7,8,4,10,6,9]
[3,5,7,9,10,1,2,4,6,8]=>[3,1,5,2,7,4,9,10,6,8]
[3,5,8,9,10,1,2,4,6,7]=>[3,1,5,2,4,8,9,10,6,7]
[3,6,7,8,10,1,2,4,5,9]=>[3,1,2,6,7,8,4,10,5,9]
[3,6,7,9,10,1,2,4,5,8]=>[3,1,2,6,7,4,9,10,5,8]
[3,6,8,9,10,1,2,4,5,7]=>[3,1,2,6,4,8,9,10,5,7]
[3,7,8,9,10,1,2,4,5,6]=>[3,1,2,4,7,8,9,10,5,6]
[4,5,6,8,10,1,2,3,7,9]=>[1,4,5,6,2,8,3,10,7,9]
[4,5,6,9,10,1,2,3,7,8]=>[1,4,5,6,2,3,9,10,7,8]
[4,5,7,8,10,1,2,3,6,9]=>[1,4,5,2,7,8,3,10,6,9]
[4,5,7,9,10,1,2,3,6,8]=>[1,4,5,2,7,3,9,10,6,8]
[4,5,8,9,10,1,2,3,6,7]=>[1,4,5,2,3,8,9,10,6,7]
[4,6,7,8,10,1,2,3,5,9]=>[1,4,2,6,7,8,3,10,5,9]
[4,6,7,9,10,1,2,3,5,8]=>[1,4,2,6,7,3,9,10,5,8]
[4,6,8,9,10,1,2,3,5,7]=>[1,4,2,6,3,8,9,10,5,7]
[4,7,8,9,10,1,2,3,5,6]=>[1,4,2,3,7,8,9,10,5,6]
[5,6,7,8,10,1,2,3,4,9]=>[1,2,5,6,7,8,3,10,4,9]
[5,6,7,9,10,1,2,3,4,8]=>[1,2,5,6,7,3,9,10,4,8]
[5,6,8,9,10,1,2,3,4,7]=>[1,2,5,6,3,8,9,10,4,7]
[5,7,8,9,10,1,2,3,4,6]=>[1,2,5,3,7,8,9,10,4,6]
[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,6,7,8,9,10,4,5]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,-10,9]
[2,1,3,4,5,6,7,8,9,10]=>[-2,1,3,4,5,6,7,8,9,10]
[9,1,2,3,4,5,6,7,10,8]=>[1,2,3,4,5,10,6,7,-9,8]
[2,10,1,3,4,5,6,7,8,9]=>[-2,1,3,4,5,6,7,10,8,9]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,-9,8]
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,9,10,-8,7]
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,8,9,10,-7,6]
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,7,8,9,10,-6,5]
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,6,7,8,9,10,-5,4]
[1,2,4,5,6,7,8,9,10,3]=>[1,2,5,6,7,8,9,10,-4,3]
[1,3,4,5,6,7,8,9,10,2]=>[1,4,5,6,7,8,9,10,-3,2]
[2,3,4,5,6,7,8,9,10,1]=>[3,4,5,6,7,8,9,10,-2,1]
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,10,8,9]
[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,9,10,7,8]
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,10,6,9,7,8]
[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,8,9,10,6,7]
[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,10,8,9,6,7]
[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,10,4,9,5,8,6,7]
[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,7,8,9,10,5,6]
[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,7,10,8,9,5,6]
[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,9,10,7,8,5,6]
[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,10,4,9,7,8,5,6]
[10,9,8,7,1,2,3,4,5,6]=>[1,10,2,9,3,8,4,7,5,6]
[10,6,7,8,9,1,2,3,4,5]=>[1,2,3,6,7,10,8,9,4,5]
[9,10,6,7,8,1,2,3,4,5]=>[1,2,3,6,9,10,7,8,4,5]
[10,9,6,7,8,1,2,3,4,5]=>[1,2,3,10,6,9,7,8,4,5]
[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,10,8,9,6,7,4,5]
[10,9,8,6,7,1,2,3,4,5]=>[1,10,2,9,3,8,6,7,4,5]
[10,9,8,7,6,1,2,3,4,5]=>[-10,9,1,8,2,7,3,6,4,5]
[9,10,5,6,7,8,1,2,3,4]=>[1,2,5,6,9,10,7,8,3,4]
[10,9,5,6,7,8,1,2,3,4]=>[1,2,5,10,6,9,7,8,3,4]
[8,9,10,5,6,7,1,2,3,4]=>[1,2,5,8,9,10,6,7,3,4]
[10,9,8,5,6,7,1,2,3,4]=>[1,10,2,9,5,8,6,7,3,4]
[9,10,7,8,5,6,1,2,3,4]=>[1,2,9,10,7,8,5,6,3,4]
[10,9,7,8,5,6,1,2,3,4]=>[1,10,2,9,7,8,5,6,3,4]
[10,9,8,7,5,6,1,2,3,4]=>[-10,9,1,8,2,7,5,6,3,4]
[10,9,8,7,6,5,1,2,3,4]=>[-8,-9,-10,7,1,6,2,5,3,4]
[10,7,8,9,4,5,6,1,2,3]=>[1,4,7,10,8,9,5,6,2,3]
[9,10,7,8,4,5,6,1,2,3]=>[1,4,9,10,7,8,5,6,2,3]
[10,9,7,8,4,5,6,1,2,3]=>[1,10,4,9,7,8,5,6,2,3]
[10,9,8,7,4,5,6,1,2,3]=>[-10,9,1,8,4,7,5,6,2,3]
[10,8,9,6,7,4,5,1,2,3]=>[1,10,8,9,6,7,4,5,2,3]
[10,9,8,6,7,4,5,1,2,3]=>[-10,9,1,8,6,7,4,5,2,3]
[10,9,8,7,6,4,5,1,2,3]=>[-8,-9,-10,7,1,6,4,5,2,3]
[10,9,8,7,6,5,4,1,2,3]=>[-6,-7,-8,-9,-10,5,1,4,2,3]
[9,10,7,8,5,6,3,4,1,2]=>[9,10,7,8,5,6,3,4,1,2]
[10,9,7,8,5,6,3,4,1,2]=>[-10,9,7,8,5,6,3,4,1,2]
[10,9,8,7,5,6,3,4,1,2]=>[-8,-9,-10,7,5,6,3,4,1,2]
[10,9,8,7,6,5,3,4,1,2]=>[-6,-7,-8,-9,-10,5,3,4,1,2]
[10,9,8,7,6,5,4,3,1,2]=>[-4,-5,-6,-7,-8,-9,-10,3,1,2]
[10,1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,-10,9,7,8]
[10,1,2,3,4,5,9,6,7,8]=>[1,2,3,4,-10,5,6,9,7,8]
[9,1,2,3,4,10,5,6,7,8]=>[1,-9,2,3,4,10,5,6,7,8]
[10,1,2,3,9,4,5,6,7,8]=>[-10,1,2,3,4,5,6,9,7,8]
[10,1,2,9,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,9,7,8]
[9,1,10,2,3,4,5,6,7,8]=>[1,2,3,4,9,10,5,6,7,8]
[8,1,2,3,4,5,6,9,10,7]=>[1,2,3,4,9,5,6,10,-8,7]
[7,1,2,3,4,5,10,9,6,8]=>[1,2,3,4,9,5,-10,-7,6,8]
[6,1,2,3,4,10,9,5,7,8]=>[1,2,3,4,-10,9,-6,5,7,8]
[5,1,2,3,9,10,4,6,7,8]=>[1,2,3,-5,9,4,6,10,7,8]
[4,1,2,10,9,3,5,6,7,8]=>[-10,1,2,-4,3,9,5,6,7,8]
[3,1,10,9,2,4,5,6,7,8]=>[1,10,-3,2,4,9,5,6,7,8]
[2,9,10,1,3,4,5,6,7,8]=>[-2,1,3,4,5,6,9,10,7,8]
[3,4,1,2,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9,10]
[3,2,1,4,5,6,7,8,9,10]=>[-2,-3,1,4,5,6,7,8,9,10]
[4,5,6,1,2,3,7,8,9,10]=>[1,4,5,6,2,3,7,8,9,10]
[4,2,5,1,3,6,7,8,9,10]=>[-4,-2,5,1,3,6,7,8,9,10]
[4,3,2,1,5,6,7,8,9,10]=>[-2,-3,-4,1,5,6,7,8,9,10]
[5,6,7,8,1,2,3,4,9,10]=>[1,2,5,6,7,8,3,4,9,10]
[5,2,6,7,1,3,4,8,9,10]=>[5,-2,1,6,7,3,4,8,9,10]
[5,6,3,4,1,2,7,8,9,10]=>[5,6,3,4,1,2,7,8,9,10]
[5,3,2,6,1,4,7,8,9,10]=>[-2,-5,-3,6,1,4,7,8,9,10]
[5,4,3,2,1,6,7,8,9,10]=>[-2,-3,-4,-5,1,6,7,8,9,10]
[6,2,7,8,9,1,3,4,5,10]=>[-2,6,1,3,7,8,9,4,5,10]
[6,7,3,4,8,1,2,5,9,10]=>[3,6,7,4,1,8,2,5,9,10]
[6,3,2,7,8,1,4,5,9,10]=>[-6,-2,-3,1,7,8,4,5,9,10]
[6,4,7,2,5,1,3,8,9,10]=>[-6,7,-4,2,5,1,3,8,9,10]
[6,4,3,2,7,1,5,8,9,10]=>[-2,-3,-6,-4,7,1,5,8,9,10]
[6,5,4,3,2,1,7,8,9,10]=>[-2,-3,-4,-5,-6,1,7,8,9,10]
[7,8,3,4,9,10,1,2,5,6]=>[3,4,7,8,1,2,9,10,5,6]
[7,3,2,8,9,10,1,4,5,6]=>[7,-2,-3,1,4,8,9,10,5,6]
[7,8,9,4,5,6,1,2,3,10]=>[1,4,7,8,9,5,6,2,3,10]
[7,4,3,2,8,9,1,5,6,10]=>[-2,-7,-3,-4,1,8,9,5,6,10]
[7,8,5,6,3,4,1,2,9,10]=>[7,8,5,6,3,4,1,2,9,10]
[7,5,3,8,2,6,1,4,9,10]=>[8,-7,-3,-5,2,6,1,4,9,10]
[7,5,4,3,2,8,1,6,9,10]=>[-2,-3,-4,-7,-5,8,1,6,9,10]
[7,6,5,4,3,2,1,8,9,10]=>[-2,-3,-4,-5,-6,-7,1,8,9,10]
[8,5,9,10,2,6,7,1,3,4]=>[-5,8,2,1,9,10,6,7,3,4]
[8,9,5,6,3,4,10,1,2,7]=>[5,8,9,6,3,4,1,10,2,7]
[8,5,3,9,2,6,10,1,4,7]=>[8,9,-3,-5,2,6,1,10,4,7]
[8,5,4,3,2,9,10,1,6,7]=>[-2,-3,-8,-4,-5,1,9,10,6,7]
[8,6,9,4,7,2,5,1,3,10]=>[-8,9,4,2,-6,7,5,1,3,10]
[8,6,4,3,9,2,7,1,5,10]=>[9,-3,-8,-4,-6,2,7,1,5,10]
[8,6,5,4,3,2,9,1,7,10]=>[-2,-3,-4,-5,-8,-6,9,1,7,10]
[8,7,6,5,4,3,2,1,9,10]=>[-2,-3,-4,-5,-6,-7,-8,1,9,10]
[9,7,5,10,3,8,2,6,1,4]=>[-10,-9,-5,3,2,-7,8,6,1,4]
[9,7,5,4,3,10,2,8,1,6]=>[10,-3,-4,-9,-5,-7,2,8,1,6]
[9,7,6,5,4,3,2,10,1,8]=>[-2,-3,-4,-5,-6,-9,-7,10,1,8]
[9,8,7,5,6,4,3,2,1,10]=>[-4,-6,3,2,-5,-7,-8,-9,1,10]
[1,10,9,8,6,7,5,4,3,2]=>[-4,-5,-7,1,3,-6,-8,-9,-10,2]
[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,9,7,8,10]
[1,10,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,10,6,7,8,9]
[8,9,1,2,3,4,5,6,7,10]=>[1,2,3,4,5,8,9,6,7,10]
[1,9,10,2,3,4,5,6,7,8]=>[1,2,3,4,9,5,6,10,7,8]
[2,3,4,5,6,7,8,9,1,10]=>[3,4,5,6,7,8,9,-2,1,10]
[2,3,4,5,6,7,9,10,1,8]=>[3,4,5,6,7,-2,9,10,1,8]
[2,3,4,5,6,8,9,10,1,7]=>[3,4,5,6,-2,8,9,10,1,7]
[2,3,4,5,7,8,9,10,1,6]=>[3,4,5,-2,7,8,9,10,1,6]
[2,3,4,6,7,8,9,10,1,5]=>[3,4,-2,6,7,8,9,10,1,5]
[2,3,5,6,7,8,9,10,1,4]=>[3,-2,5,6,7,8,9,10,1,4]
[2,4,5,6,7,8,9,10,1,3]=>[-2,4,5,6,7,8,9,10,1,3]
[3,4,5,6,7,8,9,10,1,2]=>[3,4,5,6,7,8,9,10,1,2]
[10,2,1,3,4,5,6,7,8,9]=>[-2,1,3,4,5,10,6,7,8,9]
[3,2,4,5,6,7,8,9,10,1]=>[-2,4,5,6,7,8,9,10,-3,1]
[2,4,1,3,6,5,8,7,10,9]=>[-2,4,1,3,-6,5,-8,7,-10,9]
[2,4,1,6,3,5,8,7,10,9]=>[-2,6,1,-4,3,5,-8,7,-10,9]
[2,4,1,6,3,8,5,7,10,9]=>[-2,8,1,-4,3,-6,5,7,-10,9]
[2,4,1,6,3,8,5,10,7,9]=>[-2,10,1,-4,3,-6,5,-8,7,9]
[2,4,1,6,3,8,5,9,7,10]=>[9,-2,1,-4,3,-6,5,-8,7,10]
[2,4,1,6,3,7,5,9,8,10]=>[7,-2,1,-4,3,-6,5,-9,8,10]
[2,4,1,5,3,7,6,9,8,10]=>[5,-2,1,-4,3,-7,6,-9,8,10]
[2,3,1,5,4,7,6,9,8,10]=>[3,-2,1,-5,4,-7,6,-9,8,10]
[1,3,2,5,4,7,6,9,8,10]=>[1,-3,2,-5,4,-7,6,-9,8,10]
[2,3,4,5,6,7,8,9,11,1,10]=>[3,4,5,6,7,8,9,-2,11,1,10]
[3,1,4,5,6,7,8,9,10,11,2]=>[-4,1,5,6,7,8,9,10,11,-3,2]
[11,3,4,5,6,7,8,9,1,2,10]=>[3,4,5,6,7,8,11,9,1,2,10]
[11,1,4,5,6,7,8,9,10,2,3]=>[-4,1,5,6,7,8,11,9,10,2,3]
[10,9,8,7,6,5,4,3,2,1,11]=>[-2,-3,-4,-5,-6,-7,-8,-9,-10,1,11]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,-3,-4,-5,-6,-7,-8,-9,-10,-11,2]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,-11,10]
[2,1,3,4,5,6,7,8,9,10,11]=>[-2,1,3,4,5,6,7,8,9,10,11]
[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,11,9,10]
[10,1,2,3,4,5,6,7,8,11,9]=>[1,2,3,4,5,6,11,7,8,-10,9]
[11,1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,-11,10,8,9]
[11,1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,-11,6,7,10,8,9]
[10,1,2,3,4,5,11,6,7,8,9]=>[1,2,-10,3,4,5,11,6,7,8,9]
[11,1,2,3,4,10,5,6,7,8,9]=>[1,-11,2,3,4,5,6,7,10,8,9]
[11,1,2,3,10,4,5,6,7,8,9]=>[11,1,2,3,4,5,6,7,10,8,9]
[10,1,2,11,3,4,5,6,7,8,9]=>[1,2,3,10,4,5,11,6,7,8,9]
[11,1,10,2,3,4,5,6,7,8,9]=>[1,2,3,4,11,5,6,7,10,8,9]
[11,10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,11,7,10,8,9]
[10,1,2,3,4,5,6,7,8,9,11]=>[1,2,3,4,5,6,7,10,8,9,11]
[1,11,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,11,7,8,9,10]
[2,3,4,5,6,7,8,9,10,11,1]=>[3,4,5,6,7,8,9,10,11,-2,1]
[2,3,4,5,6,7,8,9,10,12,1,11]=>[3,4,5,6,7,8,9,10,-2,12,1,11]
[3,1,4,5,6,7,8,9,10,11,12,2]=>[-4,1,5,6,7,8,9,10,11,12,-3,2]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[-2,1,-4,3,-6,5,-8,7,-10,9,-12,11]
[2,1,4,3,6,5,8,7,11,12,10,9]=>[-2,1,-4,3,-6,5,-8,7,10,-12,-11,9]
[2,1,4,3,6,5,9,10,8,7,12,11]=>[-2,1,-4,3,-6,5,8,-10,-9,7,-12,11]
[2,1,4,3,6,5,9,11,8,12,10,7]=>[-2,1,-4,3,-6,5,8,-12,10,-9,-11,7]
[2,1,4,3,6,5,10,11,12,9,8,7]=>[-2,1,-4,3,-6,5,9,8,-12,-11,-10,7]
[2,1,4,3,7,8,6,5,10,9,12,11]=>[-2,1,-4,3,6,-8,-7,5,-10,9,-12,11]
[2,1,4,3,7,8,6,5,11,12,10,9]=>[-2,1,-4,3,6,-8,-7,5,10,-12,-11,9]
[2,1,4,3,7,9,6,10,8,5,12,11]=>[-2,1,-4,3,6,-10,8,-7,-9,5,-12,11]
[2,1,4,3,7,9,6,11,8,12,10,5]=>[-2,1,-4,3,6,-12,8,-7,10,-9,-11,5]
[2,1,4,3,7,10,6,11,12,9,8,5]=>[-2,1,-4,3,6,-12,9,8,-7,-11,-10,5]
[2,1,4,3,8,9,10,7,6,5,12,11]=>[-2,1,-4,3,7,6,-10,-9,-8,5,-12,11]
[2,1,4,3,8,9,11,7,6,12,10,5]=>[-2,1,-4,3,7,6,-12,-9,10,-8,-11,5]
[2,1,4,3,8,10,11,7,12,9,6,5]=>[-2,1,-4,3,7,9,-12,6,-11,-8,-10,5]
[2,1,4,3,9,10,11,12,8,7,6,5]=>[-2,1,-4,3,8,7,6,-12,-11,-10,-9,5]
[2,1,5,6,4,3,8,7,10,9,12,11]=>[-2,1,4,-6,-5,3,-8,7,-10,9,-12,11]
[2,1,5,6,4,3,8,7,11,12,10,9]=>[-2,1,4,-6,-5,3,-8,7,10,-12,-11,9]
[2,1,5,6,4,3,9,10,8,7,12,11]=>[-2,1,4,-6,-5,3,8,-10,-9,7,-12,11]
[2,1,5,6,4,3,9,11,8,12,10,7]=>[-2,1,4,-6,-5,3,8,-12,10,-9,-11,7]
[2,1,5,6,4,3,10,11,12,9,8,7]=>[-2,1,4,-6,-5,3,9,8,-12,-11,-10,7]
[2,1,5,7,4,8,6,3,10,9,12,11]=>[-2,1,4,-8,6,-5,-7,3,-10,9,-12,11]
[2,1,5,7,4,8,6,3,11,12,10,9]=>[-2,1,4,-8,6,-5,-7,3,10,-12,-11,9]
[2,1,5,7,4,9,6,10,8,3,12,11]=>[-2,1,4,-10,6,-5,8,-7,-9,3,-12,11]
[2,1,5,7,4,9,6,11,8,12,10,3]=>[-2,1,4,-12,6,-5,8,-7,10,-9,-11,3]
[2,1,5,7,4,10,6,11,12,9,8,3]=>[-2,1,4,-12,6,-5,9,8,-7,-11,-10,3]
[2,1,5,8,4,9,10,7,6,3,12,11]=>[-2,1,4,-10,7,6,-5,-9,-8,3,-12,11]
[2,1,5,8,4,9,11,7,6,12,10,3]=>[-2,1,4,-12,7,6,-5,-9,10,-8,-11,3]
[2,1,5,8,4,10,11,7,12,9,6,3]=>[-2,1,4,-12,7,9,-5,6,-11,-8,-10,3]
[2,1,5,9,4,10,11,12,8,7,6,3]=>[-2,1,4,-12,8,7,6,-5,-11,-10,-9,3]
[2,1,6,7,8,5,4,3,10,9,12,11]=>[-2,1,5,4,-8,-7,-6,3,-10,9,-12,11]
[2,1,6,7,8,5,4,3,11,12,10,9]=>[-2,1,5,4,-8,-7,-6,3,10,-12,-11,9]
[2,1,6,7,9,5,4,10,8,3,12,11]=>[-2,1,5,4,-10,-7,8,-6,-9,3,-12,11]
[2,1,6,7,9,5,4,11,8,12,10,3]=>[-2,1,5,4,-12,-7,8,-6,10,-9,-11,3]
[2,1,6,7,10,5,4,11,12,9,8,3]=>[-2,1,5,4,-12,-7,9,8,-6,-11,-10,3]
[2,1,6,8,9,5,10,7,4,3,12,11]=>[-2,1,5,7,-10,4,-9,-6,-8,3,-12,11]
[2,1,6,8,9,5,11,7,4,12,10,3]=>[-2,1,5,7,-12,4,-9,-6,10,-8,-11,3]
[2,1,6,8,10,5,11,7,12,9,4,3]=>[-2,1,5,7,-12,9,-11,4,-6,-8,-10,3]
[2,1,6,9,10,5,11,12,8,7,4,3]=>[-2,1,5,8,-12,7,4,-11,-6,-10,-9,3]
[2,1,7,8,9,10,6,5,4,3,12,11]=>[-2,1,6,5,4,-10,-9,-8,-7,3,-12,11]
[2,1,7,8,9,11,6,5,4,12,10,3]=>[-2,1,6,5,4,-12,-9,-8,10,-7,-11,3]
[2,1,7,8,10,11,6,5,12,9,4,3]=>[-2,1,6,5,9,-12,-11,4,-8,-7,-10,3]
[2,1,7,9,10,11,6,12,8,5,4,3]=>[-2,1,6,8,5,-12,4,-11,-10,-7,-9,3]
[2,1,8,9,10,11,12,7,6,5,4,3]=>[-2,1,7,6,5,4,-12,-11,-10,-9,-8,3]
[3,4,2,1,6,5,8,7,10,9,12,11]=>[2,-4,-3,1,-6,5,-8,7,-10,9,-12,11]
[3,4,2,1,6,5,8,7,11,12,10,9]=>[2,-4,-3,1,-6,5,-8,7,10,-12,-11,9]
[3,4,2,1,6,5,9,10,8,7,12,11]=>[2,-4,-3,1,-6,5,8,-10,-9,7,-12,11]
[3,4,2,1,6,5,9,11,8,12,10,7]=>[2,-4,-3,1,-6,5,8,-12,10,-9,-11,7]
[3,4,2,1,6,5,10,11,12,9,8,7]=>[2,-4,-3,1,-6,5,9,8,-12,-11,-10,7]
[3,4,2,1,7,8,6,5,10,9,12,11]=>[2,-4,-3,1,6,-8,-7,5,-10,9,-12,11]
[3,4,2,1,7,8,6,5,11,12,10,9]=>[2,-4,-3,1,6,-8,-7,5,10,-12,-11,9]
[3,4,2,1,7,9,6,10,8,5,12,11]=>[2,-4,-3,1,6,-10,8,-7,-9,5,-12,11]
[3,4,2,1,7,9,6,11,8,12,10,5]=>[2,-4,-3,1,6,-12,8,-7,10,-9,-11,5]
[3,4,2,1,7,10,6,11,12,9,8,5]=>[2,-4,-3,1,6,-12,9,8,-7,-11,-10,5]
[3,4,2,1,8,9,10,7,6,5,12,11]=>[2,-4,-3,1,7,6,-10,-9,-8,5,-12,11]
[3,4,2,1,8,9,11,7,6,12,10,5]=>[2,-4,-3,1,7,6,-12,-9,10,-8,-11,5]
[3,4,2,1,8,10,11,7,12,9,6,5]=>[2,-4,-3,1,7,9,-12,6,-11,-8,-10,5]
[3,4,2,1,9,10,11,12,8,7,6,5]=>[2,-4,-3,1,8,7,6,-12,-11,-10,-9,5]
[3,5,2,6,4,1,8,7,10,9,12,11]=>[2,-6,4,-3,-5,1,-8,7,-10,9,-12,11]
[3,5,2,6,4,1,8,7,11,12,10,9]=>[2,-6,4,-3,-5,1,-8,7,10,-12,-11,9]
[3,5,2,6,4,1,9,10,8,7,12,11]=>[2,-6,4,-3,-5,1,8,-10,-9,7,-12,11]
[3,5,2,6,4,1,9,11,8,12,10,7]=>[2,-6,4,-3,-5,1,8,-12,10,-9,-11,7]
[3,5,2,6,4,1,10,11,12,9,8,7]=>[2,-6,4,-3,-5,1,9,8,-12,-11,-10,7]
[3,5,2,7,4,8,6,1,10,9,12,11]=>[2,-8,4,-3,6,-5,-7,1,-10,9,-12,11]
[3,5,2,7,4,8,6,1,11,12,10,9]=>[2,-8,4,-3,6,-5,-7,1,10,-12,-11,9]
[3,5,2,7,4,9,6,10,8,1,12,11]=>[2,-10,4,-3,6,-5,8,-7,-9,1,-12,11]
[3,5,2,7,4,9,6,11,8,12,10,1]=>[2,-12,4,-3,6,-5,8,-7,10,-9,-11,1]
[3,5,2,7,4,10,6,11,12,9,8,1]=>[2,-12,4,-3,6,-5,9,8,-7,-11,-10,1]
[3,5,2,8,4,9,10,7,6,1,12,11]=>[2,-10,4,-3,7,6,-5,-9,-8,1,-12,11]
[3,5,2,8,4,9,11,7,6,12,10,1]=>[2,-12,4,-3,7,6,-5,-9,10,-8,-11,1]
[3,5,2,8,4,10,11,7,12,9,6,1]=>[2,-12,4,-3,7,9,-5,6,-11,-8,-10,1]
[3,5,2,9,4,10,11,12,8,7,6,1]=>[2,-12,4,-3,8,7,6,-5,-11,-10,-9,1]
[3,6,2,7,8,5,4,1,10,9,12,11]=>[2,-8,5,4,-3,-7,-6,1,-10,9,-12,11]
[3,6,2,7,8,5,4,1,11,12,10,9]=>[2,-8,5,4,-3,-7,-6,1,10,-12,-11,9]
[3,6,2,7,9,5,4,10,8,1,12,11]=>[2,-10,5,4,-3,-7,8,-6,-9,1,-12,11]
[3,6,2,7,9,5,4,11,8,12,10,1]=>[2,-12,5,4,-3,-7,8,-6,10,-9,-11,1]
[3,6,2,7,10,5,4,11,12,9,8,1]=>[2,-12,5,4,-3,-7,9,8,-6,-11,-10,1]
[3,6,2,8,9,5,10,7,4,1,12,11]=>[2,-10,5,7,-3,4,-9,-6,-8,1,-12,11]
[3,6,2,8,9,5,11,7,4,12,10,1]=>[2,-12,5,7,-3,4,-9,-6,10,-8,-11,1]
[3,6,2,8,10,5,11,7,12,9,4,1]=>[2,-12,5,7,-3,9,-11,4,-6,-8,-10,1]
[3,6,2,9,10,5,11,12,8,7,4,1]=>[2,-12,5,8,-3,7,4,-11,-6,-10,-9,1]
[3,7,2,8,9,10,6,5,4,1,12,11]=>[2,-10,6,5,4,-3,-9,-8,-7,1,-12,11]
[3,7,2,8,9,11,6,5,4,12,10,1]=>[2,-12,6,5,4,-3,-9,-8,10,-7,-11,1]
[3,7,2,8,10,11,6,5,12,9,4,1]=>[2,-12,6,5,9,-3,-11,4,-8,-7,-10,1]
[3,7,2,9,10,11,6,12,8,5,4,1]=>[2,-12,6,8,5,-3,4,-11,-10,-7,-9,1]
[3,8,2,9,10,11,12,7,6,5,4,1]=>[2,-12,7,6,5,4,-3,-11,-10,-9,-8,1]
[4,5,6,3,2,1,8,7,10,9,12,11]=>[3,2,-6,-5,-4,1,-8,7,-10,9,-12,11]
[4,5,6,3,2,1,8,7,11,12,10,9]=>[3,2,-6,-5,-4,1,-8,7,10,-12,-11,9]
[4,5,6,3,2,1,9,10,8,7,12,11]=>[3,2,-6,-5,-4,1,8,-10,-9,7,-12,11]
[4,5,6,3,2,1,9,11,8,12,10,7]=>[3,2,-6,-5,-4,1,8,-12,10,-9,-11,7]
[4,5,6,3,2,1,10,11,12,9,8,7]=>[3,2,-6,-5,-4,1,9,8,-12,-11,-10,7]
[4,5,7,3,2,8,6,1,10,9,12,11]=>[3,2,-8,-5,6,-4,-7,1,-10,9,-12,11]
[4,5,7,3,2,8,6,1,11,12,10,9]=>[3,2,-8,-5,6,-4,-7,1,10,-12,-11,9]
[4,5,7,3,2,9,6,10,8,1,12,11]=>[3,2,-10,-5,6,-4,8,-7,-9,1,-12,11]
[4,5,7,3,2,9,6,11,8,12,10,1]=>[3,2,-12,-5,6,-4,8,-7,10,-9,-11,1]
[4,5,7,3,2,10,6,11,12,9,8,1]=>[3,2,-12,-5,6,-4,9,8,-7,-11,-10,1]
[4,5,8,3,2,9,10,7,6,1,12,11]=>[3,2,-10,-5,7,6,-4,-9,-8,1,-12,11]
[4,5,8,3,2,9,11,7,6,12,10,1]=>[3,2,-12,-5,7,6,-4,-9,10,-8,-11,1]
[4,5,8,3,2,10,11,7,12,9,6,1]=>[3,2,-12,-5,7,9,-4,6,-11,-8,-10,1]
[4,5,9,3,2,10,11,12,8,7,6,1]=>[3,2,-12,-5,8,7,6,-4,-11,-10,-9,1]
[4,6,7,3,8,5,2,1,10,9,12,11]=>[3,5,-8,2,-7,-4,-6,1,-10,9,-12,11]
[4,6,7,3,8,5,2,1,11,12,10,9]=>[3,5,-8,2,-7,-4,-6,1,10,-12,-11,9]
[4,6,7,3,9,5,2,10,8,1,12,11]=>[3,5,-10,2,-7,-4,8,-6,-9,1,-12,11]
[4,6,7,3,9,5,2,11,8,12,10,1]=>[3,5,-12,2,-7,-4,8,-6,10,-9,-11,1]
[4,6,7,3,10,5,2,11,12,9,8,1]=>[3,5,-12,2,-7,-4,9,8,-6,-11,-10,1]
[4,6,8,3,9,5,10,7,2,1,12,11]=>[3,5,-10,7,-9,2,-4,-6,-8,1,-12,11]
[4,6,8,3,9,5,11,7,2,12,10,1]=>[3,5,-12,7,-9,2,-4,-6,10,-8,-11,1]
[4,6,8,3,10,5,11,7,12,9,2,1]=>[3,5,-12,7,-11,9,-4,2,-6,-8,-10,1]
[4,6,9,3,10,5,11,12,8,7,2,1]=>[3,5,-12,8,-11,7,2,-4,-6,-10,-9,1]
[4,7,8,3,9,10,6,5,2,1,12,11]=>[3,6,-10,5,2,-9,-4,-8,-7,1,-12,11]
[4,7,8,3,9,11,6,5,2,12,10,1]=>[3,6,-12,5,2,-9,-4,-8,10,-7,-11,1]
[4,7,8,3,10,11,6,5,12,9,2,1]=>[3,6,-12,5,9,-11,-4,2,-8,-7,-10,1]
[4,7,9,3,10,11,6,12,8,5,2,1]=>[3,6,-12,8,5,-11,2,-4,-10,-7,-9,1]
[4,8,9,3,10,11,12,7,6,5,2,1]=>[3,7,-12,6,5,2,-11,-4,-10,-9,-8,1]
[5,6,7,8,4,3,2,1,10,9,12,11]=>[4,3,2,-8,-7,-6,-5,1,-10,9,-12,11]
[5,6,7,8,4,3,2,1,11,12,10,9]=>[4,3,2,-8,-7,-6,-5,1,10,-12,-11,9]
[5,6,7,9,4,3,2,10,8,1,12,11]=>[4,3,2,-10,-7,-6,8,-5,-9,1,-12,11]
[5,6,7,9,4,3,2,11,8,12,10,1]=>[4,3,2,-12,-7,-6,8,-5,10,-9,-11,1]
[5,6,7,10,4,3,2,11,12,9,8,1]=>[4,3,2,-12,-7,-6,9,8,-5,-11,-10,1]
[5,6,8,9,4,3,10,7,2,1,12,11]=>[4,3,7,-10,-9,2,-6,-5,-8,1,-12,11]
[5,6,8,9,4,3,11,7,2,12,10,1]=>[4,3,7,-12,-9,2,-6,-5,10,-8,-11,1]
[5,6,8,10,4,3,11,7,12,9,2,1]=>[4,3,7,-12,-11,9,-6,2,-5,-8,-10,1]
[5,6,9,10,4,3,11,12,8,7,2,1]=>[4,3,8,-12,-11,7,2,-6,-5,-10,-9,1]
[5,7,8,9,4,10,6,3,2,1,12,11]=>[4,6,3,-10,2,-9,-8,-5,-7,1,-12,11]
[5,7,8,9,4,11,6,3,2,12,10,1]=>[4,6,3,-12,2,-9,-8,-5,10,-7,-11,1]
[5,7,8,10,4,11,6,3,12,9,2,1]=>[4,6,3,-12,9,-11,-8,2,-5,-7,-10,1]
[5,7,9,10,4,11,6,12,8,3,2,1]=>[4,6,8,-12,3,-11,2,-10,-5,-7,-9,1]
[5,8,9,10,4,11,12,7,6,3,2,1]=>[4,7,6,-12,3,2,-11,-10,-5,-9,-8,1]
[6,7,8,9,10,5,4,3,2,1,12,11]=>[5,4,3,2,-10,-9,-8,-7,-6,1,-12,11]
[6,7,8,9,11,5,4,3,2,12,10,1]=>[5,4,3,2,-12,-9,-8,-7,10,-6,-11,1]
[6,7,8,10,11,5,4,3,12,9,2,1]=>[5,4,3,9,-12,-11,-8,2,-7,-6,-10,1]
[6,7,9,10,11,5,4,12,8,3,2,1]=>[5,4,8,3,-12,-11,2,-10,-7,-6,-9,1]
[6,8,9,10,11,5,12,7,4,3,2,1]=>[5,7,4,3,-12,2,-11,-10,-9,-6,-8,1]
[7,8,9,10,11,12,6,5,4,3,2,1]=>[6,5,4,3,2,-12,-11,-10,-9,-8,-7,1]
[2,1,4,3,6,5,8,7,12,11,10,9]=>[-2,1,-4,3,-6,5,-8,7,-10,-11,-12,9]
[2,1,4,3,6,5,10,9,8,7,12,11]=>[-2,1,-4,3,-6,5,-8,-9,-10,7,-12,11]
[2,1,4,3,6,5,12,9,8,11,10,7]=>[-2,1,-4,3,-6,5,-8,-11,10,-9,-12,7]
[2,1,4,3,6,5,12,11,10,9,8,7]=>[-2,1,-4,3,-6,5,-8,-9,-10,-11,-12,7]
[2,1,4,3,8,7,6,5,10,9,12,11]=>[-2,1,-4,3,-6,-7,-8,5,-10,9,-12,11]
[2,1,4,3,8,7,6,5,12,11,10,9]=>[-2,1,-4,3,-6,-7,-8,5,-10,-11,-12,9]
[2,1,4,3,10,7,6,9,8,5,12,11]=>[-2,1,-4,3,-6,-9,8,-7,-10,5,-12,11]
[2,1,4,3,12,7,6,9,8,11,10,5]=>[-2,1,-4,3,-6,-9,-7,8,10,-11,-12,5]
[2,1,4,3,12,7,6,11,10,9,8,5]=>[-2,1,-4,3,-6,-9,8,-7,-10,-11,-12,5]
[2,1,4,3,10,9,8,7,6,5,12,11]=>[-2,1,-4,3,-6,-7,-8,-9,-10,5,-12,11]
[2,1,4,3,12,9,8,7,6,11,10,5]=>[-2,1,-4,3,-6,-7,-8,-11,10,-9,-12,5]
[2,1,4,3,12,11,8,7,10,9,6,5]=>[-2,1,-4,3,-9,-7,-10,6,-11,-8,-12,5]
[2,1,4,3,12,11,10,9,8,7,6,5]=>[-2,1,-4,3,-6,-7,-8,-9,-10,-11,-12,5]
[2,1,6,5,4,3,8,7,10,9,12,11]=>[-2,1,-4,-5,-6,3,-8,7,-10,9,-12,11]
[2,1,6,5,4,3,8,7,12,11,10,9]=>[-2,1,-4,-5,-6,3,-8,7,-10,-11,-12,9]
[2,1,6,5,4,3,10,9,8,7,12,11]=>[-2,1,-4,-5,-6,3,-8,-9,-10,7,-12,11]
[2,1,6,5,4,3,12,9,8,11,10,7]=>[-2,1,-4,-5,-6,3,-8,-11,10,-9,-12,7]
[2,1,6,5,4,3,12,11,10,9,8,7]=>[-2,1,-4,-5,-6,3,-8,-9,-10,-11,-12,7]
[2,1,8,5,4,7,6,3,10,9,12,11]=>[-2,1,-4,-7,6,-5,-8,3,-10,9,-12,11]
[2,1,8,5,4,7,6,3,12,11,10,9]=>[-2,1,-4,-7,6,-5,-8,3,-10,-11,-12,9]
[2,1,10,5,4,7,6,9,8,3,12,11]=>[-2,1,-4,-7,-5,6,8,-9,-10,3,-12,11]
[2,1,12,5,4,7,6,9,8,11,10,3]=>[-2,1,-4,-7,-5,6,-9,8,10,-11,-12,3]
[2,1,12,5,4,7,6,11,10,9,8,3]=>[-2,1,-4,-7,-5,6,8,-9,-10,-11,-12,3]
[2,1,10,5,4,9,8,7,6,3,12,11]=>[-2,1,-4,-7,6,-5,-8,-9,-10,3,-12,11]
[2,1,12,5,4,9,8,7,6,11,10,3]=>[-2,1,-4,-7,6,-5,-8,-11,10,-9,-12,3]
[2,1,12,5,4,11,8,7,10,9,6,3]=>[-2,1,-4,-7,-5,-8,9,6,-10,-11,-12,3]
[2,1,12,5,4,11,10,9,8,7,6,3]=>[-2,1,-4,-7,6,-5,-8,-9,-10,-11,-12,3]
[2,1,8,7,6,5,4,3,10,9,12,11]=>[-2,1,-4,-5,-6,-7,-8,3,-10,9,-12,11]
[2,1,8,7,6,5,4,3,12,11,10,9]=>[-2,1,-4,-5,-6,-7,-8,3,-10,-11,-12,9]
[2,1,10,7,6,5,4,9,8,3,12,11]=>[-2,1,-4,-5,-6,-9,8,-7,-10,3,-12,11]
[2,1,12,7,6,5,4,9,8,11,10,3]=>[-2,1,-4,-5,-6,-9,-7,8,10,-11,-12,3]
[2,1,12,7,6,5,4,11,10,9,8,3]=>[-2,1,-4,-5,-6,-9,8,-7,-10,-11,-12,3]
[2,1,10,9,6,5,8,7,4,3,12,11]=>[-2,1,-7,-5,-8,4,-9,-6,-10,3,-12,11]
[2,1,12,9,6,5,8,7,4,11,10,3]=>[-2,1,-7,-5,-8,4,-9,-11,10,-6,-12,3]
[2,1,12,11,6,5,8,7,10,9,4,3]=>[-2,1,-7,-5,-10,-8,9,4,-6,-11,-12,3]
[2,1,12,11,6,5,10,9,8,7,4,3]=>[-2,1,-7,-5,-8,4,-9,-6,-10,-11,-12,3]
[2,1,10,9,8,7,6,5,4,3,12,11]=>[-2,1,-4,-5,-6,-7,-8,-9,-10,3,-12,11]
[2,1,12,9,8,7,6,5,4,11,10,3]=>[-2,1,-4,-5,-6,-7,-8,-11,10,-9,-12,3]
[2,1,12,11,8,7,6,5,10,9,4,3]=>[-2,1,-9,-5,-6,-7,-10,4,-11,-8,-12,3]
[2,1,12,11,10,7,6,9,8,5,4,3]=>[-2,1,-5,-8,-6,-9,4,-10,-11,-7,-12,3]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[-2,1,-4,-5,-6,-7,-8,-9,-10,-11,-12,3]
[4,3,2,1,6,5,8,7,10,9,12,11]=>[-2,-3,-4,1,-6,5,-8,7,-10,9,-12,11]
[4,3,2,1,6,5,8,7,12,11,10,9]=>[-2,-3,-4,1,-6,5,-8,7,-10,-11,-12,9]
[4,3,2,1,6,5,10,9,8,7,12,11]=>[-2,-3,-4,1,-6,5,-8,-9,-10,7,-12,11]
[4,3,2,1,6,5,12,9,8,11,10,7]=>[-2,-3,-4,1,-6,5,-8,-11,10,-9,-12,7]
[4,3,2,1,6,5,12,11,10,9,8,7]=>[-2,-3,-4,1,-6,5,-8,-9,-10,-11,-12,7]
[4,3,2,1,8,7,6,5,10,9,12,11]=>[-2,-3,-4,1,-6,-7,-8,5,-10,9,-12,11]
[4,3,2,1,8,7,6,5,12,11,10,9]=>[-2,-3,-4,1,-6,-7,-8,5,-10,-11,-12,9]
[4,3,2,1,10,7,6,9,8,5,12,11]=>[-2,-3,-4,1,-6,-9,8,-7,-10,5,-12,11]
[4,3,2,1,12,7,6,9,8,11,10,5]=>[-2,-3,-4,1,-6,-9,-7,8,10,-11,-12,5]
[4,3,2,1,12,7,6,11,10,9,8,5]=>[-2,-3,-4,1,-6,-9,8,-7,-10,-11,-12,5]
[4,3,2,1,10,9,8,7,6,5,12,11]=>[-2,-3,-4,1,-6,-7,-8,-9,-10,5,-12,11]
[4,3,2,1,12,9,8,7,6,11,10,5]=>[-2,-3,-4,1,-6,-7,-8,-11,10,-9,-12,5]
[4,3,2,1,12,11,8,7,10,9,6,5]=>[-2,-3,-4,1,-9,-7,-10,6,-11,-8,-12,5]
[4,3,2,1,12,11,10,9,8,7,6,5]=>[-2,-3,-4,1,-6,-7,-8,-9,-10,-11,-12,5]
[6,3,2,5,4,1,8,7,10,9,12,11]=>[-2,-5,4,-3,-6,1,-8,7,-10,9,-12,11]
[6,3,2,5,4,1,8,7,12,11,10,9]=>[-2,-5,4,-3,-6,1,-8,7,-10,-11,-12,9]
[6,3,2,5,4,1,10,9,8,7,12,11]=>[-2,-5,4,-3,-6,1,-8,-9,-10,7,-12,11]
[6,3,2,5,4,1,12,9,8,11,10,7]=>[-2,-5,4,-3,-6,1,-8,-11,10,-9,-12,7]
[6,3,2,5,4,1,12,11,10,9,8,7]=>[-2,-5,4,-3,-6,1,-8,-9,-10,-11,-12,7]
[8,3,2,5,4,7,6,1,10,9,12,11]=>[-2,-5,-3,4,6,-7,-8,1,-10,9,-12,11]
[8,3,2,5,4,7,6,1,12,11,10,9]=>[-2,-5,-3,4,6,-7,-8,1,-10,-11,-12,9]
[10,3,2,5,4,7,6,9,8,1,12,11]=>[-2,-5,-3,4,-7,6,8,-9,-10,1,-12,11]
[12,3,2,5,4,7,6,9,8,11,10,1]=>[-2,-5,-3,4,-7,6,-9,8,10,-11,-12,1]
[12,3,2,5,4,7,6,11,10,9,8,1]=>[-2,-5,-3,4,-7,6,8,-9,-10,-11,-12,1]
[10,3,2,5,4,9,8,7,6,1,12,11]=>[-2,-5,-3,4,6,-7,-8,-9,-10,1,-12,11]
[12,3,2,5,4,9,8,7,6,11,10,1]=>[-2,-5,-3,4,6,-7,-8,-11,10,-9,-12,1]
[12,3,2,5,4,11,8,7,10,9,6,1]=>[-2,-5,-3,4,-7,-8,9,6,-10,-11,-12,1]
[12,3,2,5,4,11,10,9,8,7,6,1]=>[-2,-5,-3,4,6,-7,-8,-9,-10,-11,-12,1]
[8,3,2,7,6,5,4,1,10,9,12,11]=>[-2,-5,4,-3,-6,-7,-8,1,-10,9,-12,11]
[8,3,2,7,6,5,4,1,12,11,10,9]=>[-2,-5,4,-3,-6,-7,-8,1,-10,-11,-12,9]
[10,3,2,7,6,5,4,9,8,1,12,11]=>[-2,-5,4,-3,-6,-9,8,-7,-10,1,-12,11]
[12,3,2,7,6,5,4,9,8,11,10,1]=>[-2,-5,4,-3,-6,-9,-7,8,10,-11,-12,1]
[12,3,2,7,6,5,4,11,10,9,8,1]=>[-2,-5,4,-3,-6,-9,8,-7,-10,-11,-12,1]
[10,3,2,9,6,5,8,7,4,1,12,11]=>[-2,-5,-3,-6,7,4,-8,-9,-10,1,-12,11]
[12,3,2,9,6,5,8,7,4,11,10,1]=>[-2,-5,-3,-6,7,4,-8,-11,10,-9,-12,1]
[12,3,2,11,6,5,8,7,10,9,4,1]=>[-2,-5,-3,-6,7,-10,9,4,-8,-11,-12,1]
[12,3,2,11,6,5,10,9,8,7,4,1]=>[-2,-5,-3,-6,7,4,-8,-9,-10,-11,-12,1]
[10,3,2,9,8,7,6,5,4,1,12,11]=>[-2,-5,4,-3,-6,-7,-8,-9,-10,1,-12,11]
[12,3,2,9,8,7,6,5,4,11,10,1]=>[-2,-5,4,-3,-6,-7,-8,-11,10,-9,-12,1]
[12,3,2,11,8,7,6,5,10,9,4,1]=>[-2,-5,9,-3,-6,-7,-10,4,-11,-8,-12,1]
[12,3,2,11,10,7,6,9,8,5,4,1]=>[-2,-8,-3,-6,-7,5,4,-9,-10,-11,-12,1]
[12,3,2,11,10,9,8,7,6,5,4,1]=>[-2,-5,4,-3,-6,-7,-8,-9,-10,-11,-12,1]
[6,5,4,3,2,1,8,7,10,9,12,11]=>[-2,-3,-4,-5,-6,1,-8,7,-10,9,-12,11]
[6,5,4,3,2,1,8,7,12,11,10,9]=>[-2,-3,-4,-5,-6,1,-8,7,-10,-11,-12,9]
[6,5,4,3,2,1,10,9,8,7,12,11]=>[-2,-3,-4,-5,-6,1,-8,-9,-10,7,-12,11]
[6,5,4,3,2,1,12,9,8,11,10,7]=>[-2,-3,-4,-5,-6,1,-8,-11,10,-9,-12,7]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[-2,-3,-4,-5,-6,1,-8,-9,-10,-11,-12,7]
[8,5,4,3,2,7,6,1,10,9,12,11]=>[-2,-3,-4,-7,6,-5,-8,1,-10,9,-12,11]
[8,5,4,3,2,7,6,1,12,11,10,9]=>[-2,-3,-4,-7,6,-5,-8,1,-10,-11,-12,9]
[10,5,4,3,2,7,6,9,8,1,12,11]=>[-2,-3,-4,-7,-5,6,8,-9,-10,1,-12,11]
[12,5,4,3,2,7,6,9,8,11,10,1]=>[-2,-3,-4,-7,-5,6,-9,8,10,-11,-12,1]
[12,5,4,3,2,7,6,11,10,9,8,1]=>[-2,-3,-4,-7,-5,6,8,-9,-10,-11,-12,1]
[10,5,4,3,2,9,8,7,6,1,12,11]=>[-2,-3,-4,-7,6,-5,-8,-9,-10,1,-12,11]
[12,5,4,3,2,9,8,7,6,11,10,1]=>[-2,-3,-4,-7,6,-5,-8,-11,10,-9,-12,1]
[12,5,4,3,2,11,8,7,10,9,6,1]=>[-2,-3,-4,-7,-5,-8,9,6,-10,-11,-12,1]
[12,5,4,3,2,11,10,9,8,7,6,1]=>[-2,-3,-4,-7,6,-5,-8,-9,-10,-11,-12,1]
[8,7,4,3,6,5,2,1,10,9,12,11]=>[-5,-3,-6,2,-7,-4,-8,1,-10,9,-12,11]
[8,7,4,3,6,5,2,1,12,11,10,9]=>[-5,-3,-6,2,-7,-4,-8,1,-10,-11,-12,9]
[10,7,4,3,6,5,2,9,8,1,12,11]=>[-5,-3,-6,2,-7,-9,8,-4,-10,1,-12,11]
[12,7,4,3,6,5,2,9,8,11,10,1]=>[-5,-3,-6,2,-7,-9,-4,8,10,-11,-12,1]
[12,7,4,3,6,5,2,11,10,9,8,1]=>[-5,-3,-6,2,-7,-9,8,-4,-10,-11,-12,1]
[10,9,4,3,6,5,8,7,2,1,12,11]=>[-5,-3,-8,-6,7,2,-4,-9,-10,1,-12,11]
[12,9,4,3,6,5,8,7,2,11,10,1]=>[-5,-3,-8,-6,7,2,-4,-11,10,-9,-12,1]
[12,11,4,3,6,5,8,7,10,9,2,1]=>[-5,-3,-8,-6,7,-10,9,2,-4,-11,-12,1]
[12,11,4,3,6,5,10,9,8,7,2,1]=>[-5,-3,-8,-6,7,2,-4,-9,-10,-11,-12,1]
[10,9,4,3,8,7,6,5,2,1,12,11]=>[-5,-3,-6,2,-7,-4,-8,-9,-10,1,-12,11]
[12,9,4,3,8,7,6,5,2,11,10,1]=>[-5,-3,-6,2,-7,-4,-8,-11,10,-9,-12,1]
[12,11,4,3,8,7,6,5,10,9,2,1]=>[-5,-3,-6,9,-7,-4,-10,2,-11,-8,-12,1]
[12,11,4,3,10,7,6,9,8,5,2,1]=>[-8,-3,-6,-9,-4,5,2,-7,-10,-11,-12,1]
[12,11,4,3,10,9,8,7,6,5,2,1]=>[-5,-3,-6,2,-7,-4,-8,-9,-10,-11,-12,1]
[8,7,6,5,4,3,2,1,10,9,12,11]=>[-2,-3,-4,-5,-6,-7,-8,1,-10,9,-12,11]
[8,7,6,5,4,3,2,1,12,11,10,9]=>[-2,-3,-4,-5,-6,-7,-8,1,-10,-11,-12,9]
[10,7,6,5,4,3,2,9,8,1,12,11]=>[-2,-3,-4,-5,-6,-9,8,-7,-10,1,-12,11]
[12,7,6,5,4,3,2,9,8,11,10,1]=>[-2,-3,-4,-5,-6,-9,-7,8,10,-11,-12,1]
[12,7,6,5,4,3,2,11,10,9,8,1]=>[-2,-3,-4,-5,-6,-9,8,-7,-10,-11,-12,1]
[10,9,6,5,4,3,8,7,2,1,12,11]=>[-7,-3,-4,-5,-8,2,-9,-6,-10,1,-12,11]
[12,9,6,5,4,3,8,7,2,11,10,1]=>[-7,-3,-4,-5,-8,2,-9,-11,10,-6,-12,1]
[12,11,6,5,4,3,8,7,10,9,2,1]=>[-7,-3,-4,-5,-10,-8,9,2,-6,-11,-12,1]
[12,11,6,5,4,3,10,9,8,7,2,1]=>[-7,-3,-4,-5,-8,2,-9,-6,-10,-11,-12,1]
[10,9,8,5,4,7,6,3,2,1,12,11]=>[-3,-6,-4,-7,2,-8,-9,-5,-10,1,-12,11]
[12,9,8,5,4,7,6,3,2,11,10,1]=>[-3,-6,-4,-7,2,-8,-9,-11,10,-5,-12,1]
[12,11,8,5,4,7,6,3,10,9,2,1]=>[-3,-6,-4,-7,9,-10,-8,2,-11,-5,-12,1]
[12,11,10,5,4,7,6,9,8,3,2,1]=>[-8,-6,-4,-9,-10,3,2,-7,-5,-11,-12,1]
[12,11,10,5,4,9,8,7,6,3,2,1]=>[-3,-6,-4,-7,2,-8,-9,-5,-10,-11,-12,1]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[-2,-3,-4,-5,-6,-7,-8,-9,-10,1,-12,11]
[12,9,8,7,6,5,4,3,2,11,10,1]=>[-2,-3,-4,-5,-6,-7,-8,-11,10,-9,-12,1]
[12,11,8,7,6,5,4,3,10,9,2,1]=>[-9,-3,-4,-5,-6,-7,-10,2,-11,-8,-12,1]
[12,11,10,7,6,5,4,9,8,3,2,1]=>[-3,-8,-4,-5,-6,-9,2,-10,-11,-7,-12,1]
[12,11,10,9,6,5,8,7,4,3,2,1]=>[-3,-4,-7,-5,-8,2,-9,-10,-11,-6,-12,1]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[-2,-3,-4,-5,-6,-7,-8,-9,-10,-11,-12,1]
[2,4,6,8,10,12,1,3,5,7,9,11]=>[-2,4,1,6,3,8,5,10,7,12,9,11]
[2,4,6,8,11,12,1,3,5,7,9,10]=>[-2,4,1,6,3,8,5,7,11,12,9,10]
[2,4,6,9,10,12,1,3,5,7,8,11]=>[-2,4,1,6,3,5,9,10,7,12,8,11]
[2,4,6,9,11,12,1,3,5,7,8,10]=>[-2,4,1,6,3,5,9,7,11,12,8,10]
[2,4,6,10,11,12,1,3,5,7,8,9]=>[-2,4,1,6,3,5,7,10,11,12,8,9]
[2,4,7,8,10,12,1,3,5,6,9,11]=>[-2,4,1,3,7,8,5,10,6,12,9,11]
[2,4,7,8,11,12,1,3,5,6,9,10]=>[-2,4,1,3,7,8,5,6,11,12,9,10]
[2,4,7,9,10,12,1,3,5,6,8,11]=>[-2,4,1,3,7,5,9,10,6,12,8,11]
[2,4,7,9,11,12,1,3,5,6,8,10]=>[-2,4,1,3,7,5,9,6,11,12,8,10]
[2,4,7,10,11,12,1,3,5,6,8,9]=>[-2,4,1,3,7,5,6,10,11,12,8,9]
[2,4,8,9,10,12,1,3,5,6,7,11]=>[-2,4,1,3,5,8,9,10,6,12,7,11]
[2,4,8,9,11,12,1,3,5,6,7,10]=>[-2,4,1,3,5,8,9,6,11,12,7,10]
[2,4,8,10,11,12,1,3,5,6,7,9]=>[-2,4,1,3,5,8,6,10,11,12,7,9]
[2,4,9,10,11,12,1,3,5,6,7,8]=>[-2,4,1,3,5,6,9,10,11,12,7,8]
[2,5,6,8,10,12,1,3,4,7,9,11]=>[-2,1,5,6,3,8,4,10,7,12,9,11]
[2,5,6,8,11,12,1,3,4,7,9,10]=>[-2,1,5,6,3,8,4,7,11,12,9,10]
[2,5,6,9,10,12,1,3,4,7,8,11]=>[-2,1,5,6,3,4,9,10,7,12,8,11]
[2,5,6,9,11,12,1,3,4,7,8,10]=>[-2,1,5,6,3,4,9,7,11,12,8,10]
[2,5,6,10,11,12,1,3,4,7,8,9]=>[-2,1,5,6,3,4,7,10,11,12,8,9]
[2,5,7,8,10,12,1,3,4,6,9,11]=>[-2,1,5,3,7,8,4,10,6,12,9,11]
[2,5,7,8,11,12,1,3,4,6,9,10]=>[-2,1,5,3,7,8,4,6,11,12,9,10]
[2,5,7,9,10,12,1,3,4,6,8,11]=>[-2,1,5,3,7,4,9,10,6,12,8,11]
[2,5,7,9,11,12,1,3,4,6,8,10]=>[-2,1,5,3,7,4,9,6,11,12,8,10]
[2,5,7,10,11,12,1,3,4,6,8,9]=>[-2,1,5,3,7,4,6,10,11,12,8,9]
[2,5,8,9,10,12,1,3,4,6,7,11]=>[-2,1,5,3,4,8,9,10,6,12,7,11]
[2,5,8,9,11,12,1,3,4,6,7,10]=>[-2,1,5,3,4,8,9,6,11,12,7,10]
[2,5,8,10,11,12,1,3,4,6,7,9]=>[-2,1,5,3,4,8,6,10,11,12,7,9]
[2,5,9,10,11,12,1,3,4,6,7,8]=>[-2,1,5,3,4,6,9,10,11,12,7,8]
[2,6,7,8,10,12,1,3,4,5,9,11]=>[-2,1,3,6,7,8,4,10,5,12,9,11]
[2,6,7,8,11,12,1,3,4,5,9,10]=>[-2,1,3,6,7,8,4,5,11,12,9,10]
[2,6,7,9,10,12,1,3,4,5,8,11]=>[-2,1,3,6,7,4,9,10,5,12,8,11]
[2,6,7,9,11,12,1,3,4,5,8,10]=>[-2,1,3,6,7,4,9,5,11,12,8,10]
[2,6,7,10,11,12,1,3,4,5,8,9]=>[-2,1,3,6,7,4,5,10,11,12,8,9]
[2,6,8,9,10,12,1,3,4,5,7,11]=>[-2,1,3,6,4,8,9,10,5,12,7,11]
[2,6,8,9,11,12,1,3,4,5,7,10]=>[-2,1,3,6,4,8,9,5,11,12,7,10]
[2,6,8,10,11,12,1,3,4,5,7,9]=>[-2,1,3,6,4,8,5,10,11,12,7,9]
[2,6,9,10,11,12,1,3,4,5,7,8]=>[-2,1,3,6,4,5,9,10,11,12,7,8]
[2,7,8,9,10,12,1,3,4,5,6,11]=>[-2,1,3,4,7,8,9,10,5,12,6,11]
[2,7,8,9,11,12,1,3,4,5,6,10]=>[-2,1,3,4,7,8,9,5,11,12,6,10]
[2,7,8,10,11,12,1,3,4,5,6,9]=>[-2,1,3,4,7,8,5,10,11,12,6,9]
[2,7,9,10,11,12,1,3,4,5,6,8]=>[-2,1,3,4,7,5,9,10,11,12,6,8]
[2,8,9,10,11,12,1,3,4,5,6,7]=>[-2,1,3,4,5,8,9,10,11,12,6,7]
[3,4,6,8,10,12,1,2,5,7,9,11]=>[3,4,1,6,2,8,5,10,7,12,9,11]
[3,4,6,8,11,12,1,2,5,7,9,10]=>[3,4,1,6,2,8,5,7,11,12,9,10]
[3,4,6,9,10,12,1,2,5,7,8,11]=>[3,4,1,6,2,5,9,10,7,12,8,11]
[3,4,6,9,11,12,1,2,5,7,8,10]=>[3,4,1,6,2,5,9,7,11,12,8,10]
[3,4,6,10,11,12,1,2,5,7,8,9]=>[3,4,1,6,2,5,7,10,11,12,8,9]
[3,4,7,8,10,12,1,2,5,6,9,11]=>[3,4,1,2,7,8,5,10,6,12,9,11]
[3,4,7,8,11,12,1,2,5,6,9,10]=>[3,4,1,2,7,8,5,6,11,12,9,10]
[3,4,7,9,10,12,1,2,5,6,8,11]=>[3,4,1,2,7,5,9,10,6,12,8,11]
[3,4,7,9,11,12,1,2,5,6,8,10]=>[3,4,1,2,7,5,9,6,11,12,8,10]
[3,4,7,10,11,12,1,2,5,6,8,9]=>[3,4,1,2,7,5,6,10,11,12,8,9]
[3,4,8,9,10,12,1,2,5,6,7,11]=>[3,4,1,2,5,8,9,10,6,12,7,11]
[3,4,8,9,11,12,1,2,5,6,7,10]=>[3,4,1,2,5,8,9,6,11,12,7,10]
[3,4,8,10,11,12,1,2,5,6,7,9]=>[3,4,1,2,5,8,6,10,11,12,7,9]
[3,4,9,10,11,12,1,2,5,6,7,8]=>[3,4,1,2,5,6,9,10,11,12,7,8]
[3,5,6,8,10,12,1,2,4,7,9,11]=>[3,1,5,6,2,8,4,10,7,12,9,11]
[3,5,6,8,11,12,1,2,4,7,9,10]=>[3,1,5,6,2,8,4,7,11,12,9,10]
[3,5,6,9,10,12,1,2,4,7,8,11]=>[3,1,5,6,2,4,9,10,7,12,8,11]
[3,5,6,9,11,12,1,2,4,7,8,10]=>[3,1,5,6,2,4,9,7,11,12,8,10]
[3,5,6,10,11,12,1,2,4,7,8,9]=>[3,1,5,6,2,4,7,10,11,12,8,9]
[3,5,7,8,10,12,1,2,4,6,9,11]=>[3,1,5,2,7,8,4,10,6,12,9,11]
[3,5,7,8,11,12,1,2,4,6,9,10]=>[3,1,5,2,7,8,4,6,11,12,9,10]
[3,5,7,9,10,12,1,2,4,6,8,11]=>[3,1,5,2,7,4,9,10,6,12,8,11]
[3,5,7,9,11,12,1,2,4,6,8,10]=>[3,1,5,2,7,4,9,6,11,12,8,10]
[3,5,7,10,11,12,1,2,4,6,8,9]=>[3,1,5,2,7,4,6,10,11,12,8,9]
[3,5,8,9,10,12,1,2,4,6,7,11]=>[3,1,5,2,4,8,9,10,6,12,7,11]
[3,5,8,9,11,12,1,2,4,6,7,10]=>[3,1,5,2,4,8,9,6,11,12,7,10]
[3,5,8,10,11,12,1,2,4,6,7,9]=>[3,1,5,2,4,8,6,10,11,12,7,9]
[3,5,9,10,11,12,1,2,4,6,7,8]=>[3,1,5,2,4,6,9,10,11,12,7,8]
[3,6,7,8,10,12,1,2,4,5,9,11]=>[3,1,2,6,7,8,4,10,5,12,9,11]
[3,6,7,8,11,12,1,2,4,5,9,10]=>[3,1,2,6,7,8,4,5,11,12,9,10]
[3,6,7,9,10,12,1,2,4,5,8,11]=>[3,1,2,6,7,4,9,10,5,12,8,11]
[3,6,7,9,11,12,1,2,4,5,8,10]=>[3,1,2,6,7,4,9,5,11,12,8,10]
[3,6,7,10,11,12,1,2,4,5,8,9]=>[3,1,2,6,7,4,5,10,11,12,8,9]
[3,6,8,9,10,12,1,2,4,5,7,11]=>[3,1,2,6,4,8,9,10,5,12,7,11]
[3,6,8,9,11,12,1,2,4,5,7,10]=>[3,1,2,6,4,8,9,5,11,12,7,10]
[3,6,8,10,11,12,1,2,4,5,7,9]=>[3,1,2,6,4,8,5,10,11,12,7,9]
[3,6,9,10,11,12,1,2,4,5,7,8]=>[3,1,2,6,4,5,9,10,11,12,7,8]
[3,7,8,9,10,12,1,2,4,5,6,11]=>[3,1,2,4,7,8,9,10,5,12,6,11]
[3,7,8,9,11,12,1,2,4,5,6,10]=>[3,1,2,4,7,8,9,5,11,12,6,10]
[3,7,8,10,11,12,1,2,4,5,6,9]=>[3,1,2,4,7,8,5,10,11,12,6,9]
[3,7,9,10,11,12,1,2,4,5,6,8]=>[3,1,2,4,7,5,9,10,11,12,6,8]
[3,8,9,10,11,12,1,2,4,5,6,7]=>[3,1,2,4,5,8,9,10,11,12,6,7]
[4,5,6,8,10,12,1,2,3,7,9,11]=>[1,4,5,6,2,8,3,10,7,12,9,11]
[4,5,6,8,11,12,1,2,3,7,9,10]=>[1,4,5,6,2,8,3,7,11,12,9,10]
[4,5,6,9,10,12,1,2,3,7,8,11]=>[1,4,5,6,2,3,9,10,7,12,8,11]
[4,5,6,9,11,12,1,2,3,7,8,10]=>[1,4,5,6,2,3,9,7,11,12,8,10]
[4,5,6,10,11,12,1,2,3,7,8,9]=>[1,4,5,6,2,3,7,10,11,12,8,9]
[4,5,7,8,10,12,1,2,3,6,9,11]=>[1,4,5,2,7,8,3,10,6,12,9,11]
[4,5,7,8,11,12,1,2,3,6,9,10]=>[1,4,5,2,7,8,3,6,11,12,9,10]
[4,5,7,9,10,12,1,2,3,6,8,11]=>[1,4,5,2,7,3,9,10,6,12,8,11]
[4,5,7,9,11,12,1,2,3,6,8,10]=>[1,4,5,2,7,3,9,6,11,12,8,10]
[4,5,7,10,11,12,1,2,3,6,8,9]=>[1,4,5,2,7,3,6,10,11,12,8,9]
[4,5,8,9,10,12,1,2,3,6,7,11]=>[1,4,5,2,3,8,9,10,6,12,7,11]
[4,5,8,9,11,12,1,2,3,6,7,10]=>[1,4,5,2,3,8,9,6,11,12,7,10]
[4,5,8,10,11,12,1,2,3,6,7,9]=>[1,4,5,2,3,8,6,10,11,12,7,9]
[4,5,9,10,11,12,1,2,3,6,7,8]=>[1,4,5,2,3,6,9,10,11,12,7,8]
[4,6,7,8,10,12,1,2,3,5,9,11]=>[1,4,2,6,7,8,3,10,5,12,9,11]
[4,6,7,8,11,12,1,2,3,5,9,10]=>[1,4,2,6,7,8,3,5,11,12,9,10]
[4,6,7,9,10,12,1,2,3,5,8,11]=>[1,4,2,6,7,3,9,10,5,12,8,11]
[4,6,7,9,11,12,1,2,3,5,8,10]=>[1,4,2,6,7,3,9,5,11,12,8,10]
[4,6,7,10,11,12,1,2,3,5,8,9]=>[1,4,2,6,7,3,5,10,11,12,8,9]
[4,6,8,9,10,12,1,2,3,5,7,11]=>[1,4,2,6,3,8,9,10,5,12,7,11]
[4,6,8,9,11,12,1,2,3,5,7,10]=>[1,4,2,6,3,8,9,5,11,12,7,10]
[4,6,8,10,11,12,1,2,3,5,7,9]=>[1,4,2,6,3,8,5,10,11,12,7,9]
[4,6,9,10,11,12,1,2,3,5,7,8]=>[1,4,2,6,3,5,9,10,11,12,7,8]
[4,7,8,9,10,12,1,2,3,5,6,11]=>[1,4,2,3,7,8,9,10,5,12,6,11]
[4,7,8,9,11,12,1,2,3,5,6,10]=>[1,4,2,3,7,8,9,5,11,12,6,10]
[4,7,8,10,11,12,1,2,3,5,6,9]=>[1,4,2,3,7,8,5,10,11,12,6,9]
[4,7,9,10,11,12,1,2,3,5,6,8]=>[1,4,2,3,7,5,9,10,11,12,6,8]
[4,8,9,10,11,12,1,2,3,5,6,7]=>[1,4,2,3,5,8,9,10,11,12,6,7]
[5,6,7,8,10,12,1,2,3,4,9,11]=>[1,2,5,6,7,8,3,10,4,12,9,11]
[5,6,7,8,11,12,1,2,3,4,9,10]=>[1,2,5,6,7,8,3,4,11,12,9,10]
[5,6,7,9,10,12,1,2,3,4,8,11]=>[1,2,5,6,7,3,9,10,4,12,8,11]
[5,6,7,9,11,12,1,2,3,4,8,10]=>[1,2,5,6,7,3,9,4,11,12,8,10]
[5,6,7,10,11,12,1,2,3,4,8,9]=>[1,2,5,6,7,3,4,10,11,12,8,9]
[5,6,8,9,10,12,1,2,3,4,7,11]=>[1,2,5,6,3,8,9,10,4,12,7,11]
[5,6,8,9,11,12,1,2,3,4,7,10]=>[1,2,5,6,3,8,9,4,11,12,7,10]
[5,6,8,10,11,12,1,2,3,4,7,9]=>[1,2,5,6,3,8,4,10,11,12,7,9]
[5,6,9,10,11,12,1,2,3,4,7,8]=>[1,2,5,6,3,4,9,10,11,12,7,8]
[5,7,8,9,10,12,1,2,3,4,6,11]=>[1,2,5,3,7,8,9,10,4,12,6,11]
[5,7,8,9,11,12,1,2,3,4,6,10]=>[1,2,5,3,7,8,9,4,11,12,6,10]
[5,7,8,10,11,12,1,2,3,4,6,9]=>[1,2,5,3,7,8,4,10,11,12,6,9]
[5,7,9,10,11,12,1,2,3,4,6,8]=>[1,2,5,3,7,4,9,10,11,12,6,8]
[5,8,9,10,11,12,1,2,3,4,6,7]=>[1,2,5,3,4,8,9,10,11,12,6,7]
[6,7,8,9,10,12,1,2,3,4,5,11]=>[1,2,3,6,7,8,9,10,4,12,5,11]
[6,7,8,9,11,12,1,2,3,4,5,10]=>[1,2,3,6,7,8,9,4,11,12,5,10]
[6,7,8,10,11,12,1,2,3,4,5,9]=>[1,2,3,6,7,8,4,10,11,12,5,9]
[6,7,9,10,11,12,1,2,3,4,5,8]=>[1,2,3,6,7,4,9,10,11,12,5,8]
[6,8,9,10,11,12,1,2,3,4,5,7]=>[1,2,3,6,4,8,9,10,11,12,5,7]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[1,2,3,4,7,8,9,10,11,12,5,6]
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
References
[1] Foata, D., Han, G.-N. Signed words and permutations. I. A fundamental transformation MathSciNet:2280171
Properties
bijective, graded
Sage code
def right_to_left_factorization(w, x): result = [] v = [] if w[-1] <= x: for y in w: if y <= x: result.append((v, y)) v = [] else: v.append(y) else: for y in w: if y > x: result.append((v, y)) v = [] else: v.append(y) return result def gamma(w, x): """ sage: gamma([3], -2) [3] sage: gamma([-3, -2], 1) [-3, -2] sage: gamma([-2, 3, 1], -3) [-2, 3, 1] sage: gamma([3, -2, 1, -3, -4], 3) [3, -2, 1, -3, -4] """ vy = right_to_left_factorization(w, x) return sum([[y] + v for v, y in vy], []) def left_to_right_factorization(w, x): """ sage: left_to_right_factorization([3, -2], -1) [(3, [-2])] """ result = [] v = [] y0 = None if w[0] >= x: for y in w: if y >= x: if y0 is not None: result.append((y0, v)) y0 = y v = [] else: v.append(y) else: for y in w: if y < x: if y0 is not None: result.append((y0, v)) y0 = y v = [] else: v.append(y) if y0 is not None: result.append((y0, v)) return result def delta(w, x): """ sage: delta([-3], 2) [-3] sage: delta([3, -2], -1) [-2, 3] sage: delta([-2, 3, 1], 3) [3, -2, 1] sage: delta([3, -2, 1, -3, -4], -3) [3, -2, 1, -4, -3] """ yv = left_to_right_factorization(w, x) return sum([v + [y] for y, v in yv], []) def s1(w): return [-w[0]] + w[1:] def beta(w, x): vy = right_to_left_factorization(w, x) if -x <= vy[0][1] <= x or x < vy[0][1] < -x: return delta(gamma(w, x), -x) return delta(s1(gamma(w, x)), -x) def Psi(w): if len(w) <= 1: return w x = w.pop() return beta(Psi(w), x) + [x] def mapping(pi): return pi.parent()(Psi(list(pi)))
Weight
26
Created
Sep 27, 2020 at 12:08 by Martin Rubey
Updated
Jul 26, 2022 at 15:39 by Nadia Lafreniere
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