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Identifier

Mp00281: Signed permutations —rowmotion⟶ Signed permutations

Images

=>
            
              
            

            [1]=>[-1]
[-1]=>[1]
[1,2]=>[-2,1]
[1,-2]=>[-1,2]
[-1,2]=>[-2,-1]
[-1,-2]=>[1,2]
[2,1]=>[1,-2]
[2,-1]=>[-1,-2]
[-2,1]=>[2,-1]
[-2,-1]=>[2,1]
[1,2,3]=>[-3,1,2]
[1,2,-3]=>[-2,1,3]
[1,-2,3]=>[-1,-3,2]
[1,-2,-3]=>[-1,3,2]
[-1,2,3]=>[-3,-2,1]
[-1,2,-3]=>[-2,-1,3]
[-1,-2,3]=>[-3,-2,-1]
[-1,-2,-3]=>[1,2,3]
[1,3,2]=>[-3,2,1]
[1,3,-2]=>[-1,2,-3]
[1,-3,2]=>[-2,3,1]
[1,-3,-2]=>[-1,2,3]
[-1,3,2]=>[1,-3,-2]
[-1,3,-2]=>[-2,-1,-3]
[-1,-3,2]=>[3,-2,-1]
[-1,-3,-2]=>[2,3,1]
[2,1,3]=>[1,-3,2]
[2,1,-3]=>[1,-2,3]
[2,-1,3]=>[-2,-3,1]
[2,-1,-3]=>[-1,-2,3]
[-2,1,3]=>[-3,-1,2]
[-2,1,-3]=>[3,-1,2]
[-2,-1,3]=>[-2,-3,-1]
[-2,-1,-3]=>[2,1,3]
[2,3,1]=>[2,1,-3]
[2,3,-1]=>[-2,1,-3]
[2,-3,1]=>[3,1,-2]
[2,-3,-1]=>[-1,3,-2]
[-2,3,1]=>[2,-3,-1]
[-2,3,-1]=>[-3,-1,-2]
[-2,-3,1]=>[2,3,-1]
[-2,-3,-1]=>[1,3,2]
[3,1,2]=>[2,-3,1]
[3,1,-2]=>[2,-1,-3]
[3,-1,2]=>[-3,1,-2]
[3,-1,-2]=>[-1,-2,-3]
[-3,1,2]=>[3,-2,1]
[-3,1,-2]=>[2,-1,3]
[-3,-1,2]=>[-2,3,-1]
[-3,-1,-2]=>[3,2,1]
[3,2,1]=>[1,2,-3]
[3,2,-1]=>[1,-2,-3]
[3,-2,1]=>[-3,2,-1]
[3,-2,-1]=>[-1,-3,-2]
[-3,2,1]=>[1,3,-2]
[-3,2,-1]=>[3,-1,-2]
[-3,-2,1]=>[3,2,-1]
[-3,-2,-1]=>[3,1,2]
[1,2,3,4]=>[-4,1,2,3]
[1,2,3,-4]=>[-3,1,2,4]
[1,2,-3,4]=>[-2,1,-4,3]
[1,2,-3,-4]=>[-2,1,4,3]
[1,-2,3,4]=>[-1,-4,2,3]
[1,-2,3,-4]=>[-1,-3,2,4]
[1,-2,-3,4]=>[-1,-3,-4,2]
[1,-2,-3,-4]=>[-1,4,3,2]
[-1,2,3,4]=>[-4,-3,1,2]
[-1,2,3,-4]=>[-3,-2,1,4]
[-1,2,-3,4]=>[-2,-1,-4,3]
[-1,2,-3,-4]=>[-2,-1,4,3]
[-1,-2,3,4]=>[-4,-3,-2,1]
[-1,-2,3,-4]=>[-3,-2,-1,4]
[-1,-2,-3,4]=>[-4,-3,-2,-1]
[-1,-2,-3,-4]=>[1,2,3,4]
[1,2,4,3]=>[-4,1,3,2]
[1,2,4,-3]=>[-2,1,3,-4]
[1,2,-4,3]=>[-3,1,4,2]
[1,2,-4,-3]=>[-2,1,3,4]
[1,-2,4,3]=>[-1,-4,3,2]
[1,-2,4,-3]=>[-1,-3,2,-4]
[1,-2,-4,3]=>[-1,-3,4,2]
[1,-2,-4,-3]=>[-1,4,2,3]
[-1,2,4,3]=>[-4,-3,2,1]
[-1,2,4,-3]=>[-2,-1,3,-4]
[-1,2,-4,3]=>[-3,-2,4,1]
[-1,2,-4,-3]=>[-2,-1,3,4]
[-1,-2,4,3]=>[1,-4,-3,-2]
[-1,-2,4,-3]=>[-3,-2,-1,-4]
[-1,-2,-4,3]=>[4,-3,-2,-1]
[-1,-2,-4,-3]=>[2,3,4,1]
[1,3,2,4]=>[-4,2,1,3]
[1,3,2,-4]=>[-3,2,1,4]
[1,3,-2,4]=>[-1,2,-4,3]
[1,3,-2,-4]=>[-1,2,-3,4]
[1,-3,2,4]=>[-2,-4,1,3]
[1,-3,2,-4]=>[-2,4,1,3]
[1,-3,-2,4]=>[-1,-4,-3,2]
[1,-3,-2,-4]=>[-1,3,4,2]
[-1,3,2,4]=>[1,-4,-3,2]
[-1,3,2,-4]=>[1,-3,-2,4]
[-1,3,-2,4]=>[-3,-2,-4,1]
[-1,3,-2,-4]=>[-2,-1,-3,4]
[-1,-3,2,4]=>[-4,-2,-1,3]
[-1,-3,2,-4]=>[4,-2,-1,3]
[-1,-3,-2,4]=>[-3,-2,-4,-1]
[-1,-3,-2,-4]=>[2,3,1,4]
[1,3,4,2]=>[-4,2,3,1]
[1,3,4,-2]=>[-1,2,3,-4]
[1,3,-4,2]=>[-3,2,4,1]
[1,3,-4,-2]=>[-1,2,4,-3]
[1,-3,4,2]=>[-2,-4,3,1]
[1,-3,4,-2]=>[-1,-4,2,-3]
[1,-3,-4,2]=>[-2,4,3,1]
[1,-3,-4,-2]=>[-1,3,2,4]
[-1,3,4,2]=>[2,-4,1,-3]
[-1,3,4,-2]=>[-3,-2,1,-4]
[-1,3,-4,2]=>[4,-3,1,-2]
[-1,3,-4,-2]=>[-2,-1,4,-3]
[-1,-3,4,2]=>[3,-4,-2,-1]
[-1,-3,4,-2]=>[-4,-2,-1,-3]
[-1,-3,-4,2]=>[3,4,-2,-1]
[-1,-3,-4,-2]=>[1,3,4,2]
[1,4,2,3]=>[-4,3,1,2]
[1,4,2,-3]=>[-2,3,1,-4]
[1,4,-2,3]=>[-1,3,-4,2]
[1,4,-2,-3]=>[-1,2,-3,-4]
[1,-4,2,3]=>[-3,4,1,2]
[1,-4,2,-3]=>[-2,3,1,4]
[1,-4,-2,3]=>[-1,4,-3,2]
[1,-4,-2,-3]=>[-1,2,4,3]
[-1,4,2,3]=>[2,-4,-3,1]
[-1,4,2,-3]=>[3,-2,-1,-4]
[-1,4,-2,3]=>[-4,-3,1,-2]
[-1,4,-2,-3]=>[-2,-1,-3,-4]
[-1,-4,2,3]=>[4,-3,-2,1]
[-1,-4,2,-3]=>[3,-2,-1,4]
[-1,-4,-2,3]=>[-3,-2,4,-1]
[-1,-4,-2,-3]=>[3,4,2,1]
[1,4,3,2]=>[-4,3,2,1]
[1,4,3,-2]=>[-1,3,2,-4]
[1,4,-3,2]=>[-2,3,-4,1]
[1,4,-3,-2]=>[-1,2,-4,-3]
[1,-4,3,2]=>[-3,4,2,1]
[1,-4,3,-2]=>[-1,4,2,-3]
[1,-4,-3,2]=>[-2,3,4,1]
[1,-4,-3,-2]=>[-1,2,3,4]
[-1,4,3,2]=>[1,2,-4,-3]
[-1,4,3,-2]=>[1,-3,-2,-4]
[-1,4,-3,2]=>[-4,-2,3,-1]
[-1,4,-3,-2]=>[-2,-1,-4,-3]
[-1,-4,3,2]=>[1,4,-3,-2]
[-1,-4,3,-2]=>[4,-2,-1,-3]
[-1,-4,-3,2]=>[4,-2,3,-1]
[-1,-4,-3,-2]=>[3,4,1,2]
[2,1,3,4]=>[1,-4,2,3]
[2,1,3,-4]=>[1,-3,2,4]
[2,1,-3,4]=>[1,-2,-4,3]
[2,1,-3,-4]=>[1,-2,4,3]
[2,-1,3,4]=>[-3,-4,1,2]
[2,-1,3,-4]=>[-2,-3,1,4]
[2,-1,-3,4]=>[-1,-2,-4,3]
[2,-1,-3,-4]=>[-1,-2,4,3]
[-2,1,3,4]=>[-4,-1,2,3]
[-2,1,3,-4]=>[-3,-1,2,4]
[-2,1,-3,4]=>[-3,-1,-4,2]
[-2,1,-3,-4]=>[4,-1,3,2]
[-2,-1,3,4]=>[-3,-4,-2,1]
[-2,-1,3,-4]=>[-2,-3,-1,4]
[-2,-1,-3,4]=>[-3,-4,-2,-1]
[-2,-1,-3,-4]=>[2,1,3,4]
[2,1,4,3]=>[1,-4,3,2]
[2,1,4,-3]=>[1,-2,3,-4]
[2,1,-4,3]=>[1,-3,4,2]
[2,1,-4,-3]=>[1,-2,3,4]
[2,-1,4,3]=>[-3,-4,2,1]
[2,-1,4,-3]=>[-1,-2,3,-4]
[2,-1,-4,3]=>[-2,-3,4,1]
[2,-1,-4,-3]=>[-1,-2,3,4]
[-2,1,4,3]=>[-4,-1,3,2]
[-2,1,4,-3]=>[-3,-1,2,-4]
[-2,1,-4,3]=>[-3,-1,4,2]
[-2,1,-4,-3]=>[4,-1,2,3]
[-2,-1,4,3]=>[-4,1,-3,-2]
[-2,-1,4,-3]=>[-2,-3,-1,-4]
[-2,-1,-4,3]=>[-3,4,-2,-1]
[-2,-1,-4,-3]=>[3,2,4,1]
[2,3,1,4]=>[2,1,-4,3]
[2,3,1,-4]=>[2,1,-3,4]
[2,3,-1,4]=>[-3,1,-4,2]
[2,3,-1,-4]=>[-2,1,-3,4]
[2,-3,1,4]=>[-4,1,-2,3]
[2,-3,1,-4]=>[4,1,-2,3]
[2,-3,-1,4]=>[-1,-4,-2,3]
[2,-3,-1,-4]=>[-1,4,-2,3]
[-2,3,1,4]=>[2,-4,-1,3]
[-2,3,1,-4]=>[2,-3,-1,4]
[-2,3,-1,4]=>[-4,-2,-3,1]
[-2,3,-1,-4]=>[-3,-1,-2,4]
[-2,-3,1,4]=>[-4,-3,-1,2]
[-2,-3,1,-4]=>[3,4,-1,2]
[-2,-3,-1,4]=>[-4,-2,-3,-1]
[-2,-3,-1,-4]=>[1,3,2,4]
[2,3,4,1]=>[3,1,2,-4]
[2,3,4,-1]=>[-3,1,2,-4]
[2,3,-4,1]=>[4,1,2,-3]
[2,3,-4,-1]=>[-2,1,4,-3]
[2,-3,4,1]=>[-4,3,1,-2]
[2,-3,4,-1]=>[-1,-4,3,-2]
[2,-3,-4,1]=>[4,3,1,-2]
[2,-3,-4,-1]=>[-1,4,3,-2]
[-2,3,4,1]=>[3,-4,2,-1]
[-2,3,4,-1]=>[-4,-2,1,-3]
[-2,3,-4,1]=>[4,-3,2,-1]
[-2,3,-4,-1]=>[-3,-1,4,-2]
[-2,-3,4,1]=>[2,-4,-3,-1]
[-2,-3,4,-1]=>[-4,-3,-1,-2]
[-2,-3,-4,1]=>[2,3,4,-1]
[-2,-3,-4,-1]=>[1,2,4,3]
[2,4,1,3]=>[3,1,-4,2]
[2,4,1,-3]=>[3,1,-2,-4]
[2,4,-1,3]=>[-3,2,-4,1]
[2,4,-1,-3]=>[-1,3,-2,-4]
[2,-4,1,3]=>[4,1,-3,2]
[2,-4,1,-3]=>[3,1,-2,4]
[2,-4,-1,3]=>[-2,4,-3,1]
[2,-4,-1,-3]=>[-1,3,-2,4]
[-2,4,1,3]=>[3,-4,-1,2]
[-2,4,1,-3]=>[2,-3,-1,-4]
[-2,4,-1,3]=>[1,-3,-4,-2]
[-2,4,-1,-3]=>[-3,-1,-2,-4]
[-2,-4,1,3]=>[4,-3,-1,2]
[-2,-4,1,-3]=>[2,4,-1,3]
[-2,-4,-1,3]=>[4,-2,-3,-1]
[-2,-4,-1,-3]=>[2,4,3,1]
[2,4,3,1]=>[3,2,1,-4]
[2,4,3,-1]=>[-3,2,1,-4]
[2,4,-3,1]=>[-4,1,3,-2]
[2,4,-3,-1]=>[-1,3,-4,-2]
[2,-4,3,1]=>[4,2,1,-3]
[2,-4,3,-1]=>[-2,4,1,-3]
[2,-4,-3,1]=>[4,1,3,-2]
[2,-4,-3,-1]=>[-1,3,4,-2]
[-2,4,3,1]=>[2,3,-4,-1]
[-2,4,3,-1]=>[1,-4,-2,-3]
[-2,4,-3,1]=>[-4,-3,2,-1]
[-2,4,-3,-1]=>[-3,-1,-4,-2]
[-2,-4,3,1]=>[2,4,-3,-1]
[-2,-4,3,-1]=>[4,-3,-1,-2]
[-2,-4,-3,1]=>[3,4,2,-1]
[-2,-4,-3,-1]=>[2,4,1,3]
[3,1,2,4]=>[2,-4,1,3]
[3,1,2,-4]=>[2,-3,1,4]
[3,1,-2,4]=>[2,-1,-4,3]
[3,1,-2,-4]=>[2,-1,-3,4]
[3,-1,2,4]=>[-4,1,-3,2]
[3,-1,2,-4]=>[-3,1,-2,4]
[3,-1,-2,4]=>[-2,-3,-4,1]
[3,-1,-2,-4]=>[-1,-2,-3,4]
[-3,1,2,4]=>[-4,-2,1,3]
[-3,1,2,-4]=>[4,-2,1,3]
[-3,1,-2,4]=>[-4,-1,-3,2]
[-3,1,-2,-4]=>[3,-1,4,2]
[-3,-1,2,4]=>[-2,-4,-1,3]
[-3,-1,2,-4]=>[-2,4,-1,3]
[-3,-1,-2,4]=>[-2,-3,-4,-1]
[-3,-1,-2,-4]=>[3,2,1,4]
[3,1,4,2]=>[2,-4,3,1]
[3,1,4,-2]=>[2,-1,3,-4]
[3,1,-4,2]=>[2,-3,4,1]
[3,1,-4,-2]=>[2,-1,4,-3]
[3,-1,4,2]=>[-4,2,1,-3]
[3,-1,4,-2]=>[-2,-3,1,-4]
[3,-1,-4,2]=>[-3,4,1,-2]
[3,-1,-4,-2]=>[-1,-2,4,-3]
[-3,1,4,2]=>[-4,-2,3,1]
[-3,1,4,-2]=>[-4,-1,2,-3]
[-3,1,-4,2]=>[4,-2,3,1]
[-3,1,-4,-2]=>[3,-1,2,4]
[-3,-1,4,2]=>[-4,3,-2,-1]
[-3,-1,4,-2]=>[-2,-4,-1,-3]
[-3,-1,-4,2]=>[4,3,-2,-1]
[-3,-1,-4,-2]=>[3,1,4,2]
[3,2,1,4]=>[1,2,-4,3]
[3,2,1,-4]=>[1,2,-3,4]
[3,2,-1,4]=>[1,-3,-4,2]
[3,2,-1,-4]=>[1,-2,-3,4]
[3,-2,1,4]=>[-4,2,-1,3]
[3,-2,1,-4]=>[-3,2,-1,4]
[3,-2,-1,4]=>[-2,-4,-3,1]
[3,-2,-1,-4]=>[-1,-3,-2,4]
[-3,2,1,4]=>[1,-4,-2,3]
[-3,2,1,-4]=>[1,4,-2,3]
[-3,2,-1,4]=>[-4,-1,-2,3]
[-3,2,-1,-4]=>[4,-1,-2,3]
[-3,-2,1,4]=>[-3,-4,-1,2]
[-3,-2,1,-4]=>[4,3,-1,2]
[-3,-2,-1,4]=>[-2,-4,-3,-1]
[-3,-2,-1,-4]=>[3,1,2,4]
[3,2,4,1]=>[1,3,2,-4]
[3,2,4,-1]=>[1,-3,2,-4]
[3,2,-4,1]=>[1,4,2,-3]
[3,2,-4,-1]=>[1,-2,4,-3]
[3,-2,4,1]=>[-4,3,2,-1]
[3,-2,4,-1]=>[-2,-4,1,-3]
[3,-2,-4,1]=>[-3,4,2,-1]
[3,-2,-4,-1]=>[-1,-3,4,-2]
[-3,2,4,1]=>[3,-4,1,-2]
[-3,2,4,-1]=>[-4,-1,3,-2]
[-3,2,-4,1]=>[3,4,1,-2]
[-3,2,-4,-1]=>[4,-1,3,-2]
[-3,-2,4,1]=>[-4,2,-3,-1]
[-3,-2,4,-1]=>[-3,-4,-1,-2]
[-3,-2,-4,1]=>[3,2,4,-1]
[-3,-2,-4,-1]=>[2,1,4,3]
[3,4,1,2]=>[3,2,-4,1]
[3,4,1,-2]=>[3,2,-1,-4]
[3,4,-1,2]=>[-4,1,2,-3]
[3,4,-1,-2]=>[-2,1,-3,-4]
[3,-4,1,2]=>[4,2,-3,1]
[3,-4,1,-2]=>[4,2,-1,-3]
[3,-4,-1,2]=>[-3,1,4,-2]
[3,-4,-1,-2]=>[-1,4,-2,-3]
[-3,4,1,2]=>[3,-4,-2,1]
[-3,4,1,-2]=>[2,-4,-1,-3]
[-3,4,-1,2]=>[3,-2,-4,-1]
[-3,4,-1,-2]=>[-4,-1,-2,-3]
[-3,-4,1,2]=>[3,4,-2,1]
[-3,-4,1,-2]=>[2,3,-1,4]
[-3,-4,-1,2]=>[3,-2,4,-1]
[-3,-4,-1,-2]=>[1,4,3,2]
[3,4,2,1]=>[2,1,3,-4]
[3,4,2,-1]=>[2,1,-3,-4]
[3,4,-2,1]=>[-4,2,3,-1]
[3,4,-2,-1]=>[-2,1,-4,-3]
[3,-4,2,1]=>[2,1,4,-3]
[3,-4,2,-1]=>[4,1,-2,-3]
[3,-4,-2,1]=>[-3,2,4,-1]
[3,-4,-2,-1]=>[-1,4,-3,-2]
[-3,4,2,1]=>[1,3,-4,-2]
[-3,4,2,-1]=>[3,-4,-1,-2]
[-3,4,-2,1]=>[2,-3,-4,-1]
[-3,4,-2,-1]=>[-4,-1,-3,-2]
[-3,-4,2,1]=>[1,3,4,-2]
[-3,-4,2,-1]=>[3,4,-1,-2]
[-3,-4,-2,1]=>[2,4,3,-1]
[-3,-4,-2,-1]=>[1,4,2,3]
[4,1,2,3]=>[3,-4,1,2]
[4,1,2,-3]=>[3,-2,1,-4]
[4,1,-2,3]=>[3,-1,-4,2]
[4,1,-2,-3]=>[2,-1,-3,-4]
[4,-1,2,3]=>[-4,2,-3,1]
[4,-1,2,-3]=>[-2,3,-1,-4]
[4,-1,-2,3]=>[-3,-4,1,-2]
[4,-1,-2,-3]=>[-1,-2,-3,-4]
[-4,1,2,3]=>[4,-3,1,2]
[-4,1,2,-3]=>[3,-2,1,4]
[-4,1,-2,3]=>[4,-1,-3,2]
[-4,1,-2,-3]=>[2,-1,4,3]
[-4,-1,2,3]=>[-3,4,-2,1]
[-4,-1,2,-3]=>[-2,3,-1,4]
[-4,-1,-2,3]=>[-2,-3,4,-1]
[-4,-1,-2,-3]=>[4,3,2,1]
[4,1,3,2]=>[3,-4,2,1]
[4,1,3,-2]=>[3,-1,2,-4]
[4,1,-3,2]=>[3,-2,-4,1]
[4,1,-3,-2]=>[2,-1,-4,-3]
[4,-1,3,2]=>[2,1,-4,-3]
[4,-1,3,-2]=>[-3,1,-2,-4]
[4,-1,-3,2]=>[-2,-4,3,-1]
[4,-1,-3,-2]=>[-1,-2,-4,-3]
[-4,1,3,2]=>[4,-3,2,1]
[-4,1,3,-2]=>[4,-1,2,-3]
[-4,1,-3,2]=>[3,-2,4,1]
[-4,1,-3,-2]=>[2,-1,3,4]
[-4,-1,3,2]=>[4,1,-3,-2]
[-4,-1,3,-2]=>[-2,4,-1,-3]
[-4,-1,-3,2]=>[-2,4,3,-1]
[-4,-1,-3,-2]=>[4,3,1,2]
[4,2,1,3]=>[1,3,-4,2]
[4,2,1,-3]=>[1,3,-2,-4]
[4,2,-1,3]=>[2,-3,-4,1]
[4,2,-1,-3]=>[3,-1,-2,-4]
[4,-2,1,3]=>[-4,3,-1,2]
[4,-2,1,-3]=>[-3,2,-1,-4]
[4,-2,-1,3]=>[-3,1,-4,-2]
[4,-2,-1,-3]=>[-1,-3,-2,-4]
[-4,2,1,3]=>[1,4,-3,2]
[-4,2,1,-3]=>[1,3,-2,4]
[-4,2,-1,3]=>[4,-2,-3,1]
[-4,2,-1,-3]=>[3,-1,-2,4]
[-4,-2,1,3]=>[-3,4,-1,2]
[-4,-2,1,-3]=>[4,2,-1,3]
[-4,-2,-1,3]=>[-2,4,-3,-1]
[-4,-2,-1,-3]=>[4,2,3,1]
[4,2,3,1]=>[2,3,1,-4]
[4,2,3,-1]=>[2,-3,1,-4]
[4,2,-3,1]=>[1,-4,3,-2]
[4,2,-3,-1]=>[3,-1,-4,-2]
[4,-2,3,1]=>[3,2,-4,-1]
[4,-2,3,-1]=>[-4,1,-2,-3]
[4,-2,-3,1]=>[-3,-4,2,-1]
[4,-2,-3,-1]=>[-1,-3,-4,-2]
[-4,2,3,1]=>[2,4,1,-3]
[-4,2,3,-1]=>[4,-2,1,-3]
[-4,2,-3,1]=>[1,4,3,-2]
[-4,2,-3,-1]=>[3,-1,4,-2]
[-4,-2,3,1]=>[4,2,-3,-1]
[-4,-2,3,-1]=>[-3,4,-1,-2]
[-4,-2,-3,1]=>[4,3,2,-1]
[-4,-2,-3,-1]=>[4,2,1,3]
[4,3,1,2]=>[2,3,-4,1]
[4,3,1,-2]=>[2,3,-1,-4]
[4,3,-1,2]=>[1,-4,2,-3]
[4,3,-1,-2]=>[1,-2,-3,-4]
[4,-3,1,2]=>[-4,3,-2,1]
[4,-3,1,-2]=>[-4,2,-1,-3]
[4,-3,-1,2]=>[-2,3,-4,-1]
[4,-3,-1,-2]=>[-1,-4,-2,-3]
[-4,3,1,2]=>[2,4,-3,1]
[-4,3,1,-2]=>[2,4,-1,-3]
[-4,3,-1,2]=>[1,-3,4,-2]
[-4,3,-1,-2]=>[4,-1,-2,-3]
[-4,-3,1,2]=>[4,3,-2,1]
[-4,-3,1,-2]=>[3,2,-1,4]
[-4,-3,-1,2]=>[-2,3,4,-1]
[-4,-3,-1,-2]=>[4,1,3,2]
[4,3,2,1]=>[1,2,3,-4]
[4,3,2,-1]=>[1,2,-3,-4]
[4,3,-2,1]=>[2,-4,3,-1]
[4,3,-2,-1]=>[1,-2,-4,-3]
[4,-3,2,1]=>[3,1,-4,-2]
[4,-3,2,-1]=>[-4,3,-1,-2]
[4,-3,-2,1]=>[-3,2,-4,-1]
[4,-3,-2,-1]=>[-1,-4,-3,-2]
[-4,3,2,1]=>[1,2,4,-3]
[-4,3,2,-1]=>[1,4,-2,-3]
[-4,3,-2,1]=>[2,-3,4,-1]
[-4,3,-2,-1]=>[4,-1,-3,-2]
[-4,-3,2,1]=>[3,1,4,-2]
[-4,-3,2,-1]=>[4,3,-1,-2]
[-4,-3,-2,1]=>[4,2,3,-1]
[-4,-3,-2,-1]=>[4,1,2,3]
[1,2,3,4,5]=>[-5,1,2,3,4]
[1,2,3,4,-5]=>[-4,1,2,3,5]
[1,2,3,-4,5]=>[-3,1,2,-5,4]
[1,2,3,-4,-5]=>[-3,1,2,5,4]
[1,2,-3,4,5]=>[-2,1,-5,3,4]
[1,2,-3,4,-5]=>[-2,1,-4,3,5]
[1,2,-3,-4,5]=>[-2,1,-4,-5,3]
[1,2,-3,-4,-5]=>[-2,1,5,4,3]
[1,-2,3,4,5]=>[-1,-5,2,3,4]
[1,-2,3,4,-5]=>[-1,-4,2,3,5]
[1,-2,3,-4,5]=>[-1,-3,2,-5,4]
[1,-2,3,-4,-5]=>[-1,-3,2,5,4]
[1,-2,-3,4,5]=>[-1,-4,-5,2,3]
[1,-2,-3,4,-5]=>[-1,-3,-4,2,5]
[1,-2,-3,-4,5]=>[-1,-3,-4,-5,2]
[1,-2,-3,-4,-5]=>[-1,5,4,3,2]
[-1,2,3,4,5]=>[-5,-4,1,2,3]
[-1,2,3,4,-5]=>[-4,-3,1,2,5]
[-1,2,3,-4,5]=>[-3,-2,1,-5,4]
[-1,2,3,-4,-5]=>[-3,-2,1,5,4]
[-1,2,-3,4,5]=>[-2,-1,-5,3,4]
[-1,2,-3,4,-5]=>[-2,-1,-4,3,5]
[-1,2,-3,-4,5]=>[-2,-1,-4,-5,3]
[-1,2,-3,-4,-5]=>[-2,-1,5,4,3]
[-1,-2,3,4,5]=>[-5,-4,-3,1,2]
[-1,-2,3,4,-5]=>[-4,-3,-2,1,5]
[-1,-2,3,-4,5]=>[-3,-2,-1,-5,4]
[-1,-2,3,-4,-5]=>[-3,-2,-1,5,4]
[-1,-2,-3,4,5]=>[-5,-4,-3,-2,1]
[-1,-2,-3,4,-5]=>[-4,-3,-2,-1,5]
[-1,-2,-3,-4,5]=>[-5,-4,-3,-2,-1]
[-1,-2,-3,-4,-5]=>[1,2,3,4,5]
[1,2,3,5,4]=>[-5,1,2,4,3]
[1,2,3,5,-4]=>[-3,1,2,4,-5]
[1,2,3,-5,4]=>[-4,1,2,5,3]
[1,2,3,-5,-4]=>[-3,1,2,4,5]
[1,2,-3,5,4]=>[-2,1,-5,4,3]
[1,2,-3,5,-4]=>[-2,1,-4,3,-5]
[1,2,-3,-5,4]=>[-2,1,-4,5,3]
[1,2,-3,-5,-4]=>[-2,1,5,3,4]
[1,-2,3,5,4]=>[-1,-5,2,4,3]
[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,-3,2,4,5]
[1,-2,-3,5,4]=>[-1,-4,-5,3,2]
[1,-2,-3,5,-4]=>[-1,-3,-4,2,-5]
[1,-2,-3,-5,4]=>[-1,-3,-4,5,2]
[1,-2,-3,-5,-4]=>[-1,5,4,2,3]
[-1,2,3,5,4]=>[-5,-4,1,3,2]
[-1,2,3,5,-4]=>[-3,-2,1,4,-5]
[-1,2,3,-5,4]=>[-4,-3,1,5,2]
[-1,2,3,-5,-4]=>[-3,-2,1,4,5]
[-1,2,-3,5,4]=>[-2,-1,-5,4,3]
[-1,2,-3,5,-4]=>[-2,-1,-4,3,-5]
[-1,2,-3,-5,4]=>[-2,-1,-4,5,3]
[-1,2,-3,-5,-4]=>[-2,-1,5,3,4]
[-1,-2,3,5,4]=>[-5,-4,-3,2,1]
[-1,-2,3,5,-4]=>[-3,-2,-1,4,-5]
[-1,-2,3,-5,4]=>[-4,-3,-2,5,1]
[-1,-2,3,-5,-4]=>[-3,-2,-1,4,5]
[-1,-2,-3,5,4]=>[1,-5,-4,-3,-2]
[-1,-2,-3,5,-4]=>[-4,-3,-2,-1,-5]
[-1,-2,-3,-5,4]=>[5,-4,-3,-2,-1]
[-1,-2,-3,-5,-4]=>[2,3,4,5,1]
[1,2,4,3,5]=>[-5,1,3,2,4]
[1,2,4,3,-5]=>[-4,1,3,2,5]
[1,2,4,-3,5]=>[-2,1,3,-5,4]
[1,2,4,-3,-5]=>[-2,1,3,-4,5]
[1,2,-4,3,5]=>[-3,1,-5,2,4]
[1,2,-4,3,-5]=>[-3,1,5,2,4]
[1,2,-4,-3,5]=>[-2,1,-5,-4,3]
[1,2,-4,-3,-5]=>[-2,1,4,5,3]
[1,-2,4,3,5]=>[-1,-5,3,2,4]
[1,-2,4,3,-5]=>[-1,-4,3,2,5]
[1,-2,4,-3,5]=>[-1,-4,2,-5,3]
[1,-2,4,-3,-5]=>[-1,-3,2,-4,5]
[1,-2,-4,3,5]=>[-1,-3,-5,2,4]
[1,-2,-4,3,-5]=>[-1,-3,5,2,4]
[1,-2,-4,-3,5]=>[-1,-3,-5,-4,2]
[1,-2,-4,-3,-5]=>[-1,5,3,4,2]
[-1,2,4,3,5]=>[-5,-4,2,1,3]
[-1,2,4,3,-5]=>[-4,-3,2,1,5]
[-1,2,4,-3,5]=>[-2,-1,3,-5,4]
[-1,2,4,-3,-5]=>[-2,-1,3,-4,5]
[-1,2,-4,3,5]=>[-3,-2,-5,1,4]
[-1,2,-4,3,-5]=>[-3,-2,5,1,4]
[-1,2,-4,-3,5]=>[-2,-1,-5,-4,3]
[-1,2,-4,-3,-5]=>[-2,-1,4,5,3]
[-1,-2,4,3,5]=>[1,-5,-4,-3,2]
[-1,-2,4,3,-5]=>[1,-4,-3,-2,5]
[-1,-2,4,-3,5]=>[-4,-3,-2,-5,1]
[-1,-2,4,-3,-5]=>[-3,-2,-1,-4,5]
[-1,-2,-4,3,5]=>[-5,-3,-2,-1,4]
[-1,-2,-4,3,-5]=>[5,-3,-2,-1,4]
[-1,-2,-4,-3,5]=>[-4,-3,-2,-5,-1]
[-1,-2,-4,-3,-5]=>[2,3,4,1,5]
[1,2,4,5,3]=>[-5,1,3,4,2]
[1,2,4,5,-3]=>[-2,1,3,4,-5]
[1,2,4,-5,3]=>[-4,1,3,5,2]
[1,2,4,-5,-3]=>[-2,1,3,5,-4]
[1,2,-4,5,3]=>[-3,1,-5,4,2]
[1,2,-4,5,-3]=>[-2,1,-5,3,-4]
[1,2,-4,-5,3]=>[-3,1,5,4,2]
[1,2,-4,-5,-3]=>[-2,1,4,3,5]
[1,-2,4,5,3]=>[-1,-5,3,4,2]
[1,-2,4,5,-3]=>[-1,-4,2,3,-5]
[1,-2,4,-5,3]=>[-1,-4,3,5,2]
[1,-2,4,-5,-3]=>[-1,-3,2,5,-4]
[1,-2,-4,5,3]=>[-1,-3,-5,4,2]
[1,-2,-4,5,-3]=>[-1,-3,-5,2,-4]
[1,-2,-4,-5,3]=>[-1,-3,5,4,2]
[1,-2,-4,-5,-3]=>[-1,5,3,2,4]
[-1,2,4,5,3]=>[-5,-4,2,3,1]
[-1,2,4,5,-3]=>[-2,-1,3,4,-5]
[-1,2,4,-5,3]=>[-4,-3,2,5,1]
[-1,2,4,-5,-3]=>[-2,-1,3,5,-4]
[-1,2,-4,5,3]=>[-3,-2,-5,4,1]
[-1,2,-4,5,-3]=>[-2,-1,-5,3,-4]
[-1,2,-4,-5,3]=>[-3,-2,5,4,1]
[-1,2,-4,-5,-3]=>[-2,-1,4,3,5]
[-1,-2,4,5,3]=>[2,-5,-4,1,-3]
[-1,-2,4,5,-3]=>[-4,-3,-2,1,-5]
[-1,-2,4,-5,3]=>[5,-4,-3,1,-2]
[-1,-2,4,-5,-3]=>[-3,-2,-1,5,-4]
[-1,-2,-4,5,3]=>[4,-5,-3,-2,-1]
[-1,-2,-4,5,-3]=>[-5,-3,-2,-1,-4]
[-1,-2,-4,-5,3]=>[4,5,-3,-2,-1]
[-1,-2,-4,-5,-3]=>[1,3,4,5,2]
[1,2,5,3,4]=>[-5,1,4,2,3]
[1,2,5,3,-4]=>[-3,1,4,2,-5]
[1,2,5,-3,4]=>[-2,1,4,-5,3]
[1,2,5,-3,-4]=>[-2,1,3,-4,-5]
[1,2,-5,3,4]=>[-4,1,5,2,3]
[1,2,-5,3,-4]=>[-3,1,4,2,5]
[1,2,-5,-3,4]=>[-2,1,5,-4,3]
[1,2,-5,-3,-4]=>[-2,1,3,5,4]
[1,-2,5,3,4]=>[-1,-5,4,2,3]
[1,-2,5,3,-4]=>[-1,-3,4,2,-5]
[1,-2,5,-3,4]=>[-1,-4,3,-5,2]
[1,-2,5,-3,-4]=>[-1,-3,2,-4,-5]
[1,-2,-5,3,4]=>[-1,-4,5,2,3]
[1,-2,-5,3,-4]=>[-1,-3,4,2,5]
[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]=>[-5,-4,3,1,2]
[-1,2,5,3,-4]=>[-3,-2,4,1,-5]
[-1,2,5,-3,4]=>[-2,-1,4,-5,3]
[-1,2,5,-3,-4]=>[-2,-1,3,-4,-5]
[-1,2,-5,3,4]=>[-4,-3,5,1,2]
[-1,2,-5,3,-4]=>[-3,-2,4,1,5]
[-1,2,-5,-3,4]=>[-2,-1,5,-4,3]
[-1,2,-5,-3,-4]=>[-2,-1,3,5,4]
[-1,-2,5,3,4]=>[2,-5,-4,-3,1]
[-1,-2,5,3,-4]=>[4,-3,-2,-1,-5]
[-1,-2,5,-3,4]=>[-5,-4,-3,1,-2]
[-1,-2,5,-3,-4]=>[-3,-2,-1,-4,-5]
[-1,-2,-5,3,4]=>[5,-4,-3,-2,1]
[-1,-2,-5,3,-4]=>[4,-3,-2,-1,5]
[-1,-2,-5,-3,4]=>[-4,-3,-2,5,-1]
[-1,-2,-5,-3,-4]=>[3,4,5,2,1]
[1,2,5,4,3]=>[-5,1,4,3,2]
[1,2,5,4,-3]=>[-2,1,4,3,-5]
[1,2,5,-4,3]=>[-3,1,4,-5,2]
[1,2,5,-4,-3]=>[-2,1,3,-5,-4]
[1,2,-5,4,3]=>[-4,1,5,3,2]
[1,2,-5,4,-3]=>[-2,1,5,3,-4]
[1,2,-5,-4,3]=>[-3,1,4,5,2]
[1,2,-5,-4,-3]=>[-2,1,3,4,5]
[1,-2,5,4,3]=>[-1,-5,4,3,2]
[1,-2,5,4,-3]=>[-1,-4,3,2,-5]
[1,-2,5,-4,3]=>[-1,-3,4,-5,2]
[1,-2,5,-4,-3]=>[-1,-3,2,-5,-4]
[1,-2,-5,4,3]=>[-1,-4,5,3,2]
[1,-2,-5,4,-3]=>[-1,-3,5,2,-4]
[1,-2,-5,-4,3]=>[-1,-3,4,5,2]
[1,-2,-5,-4,-3]=>[-1,5,2,3,4]
[-1,2,5,4,3]=>[-5,-4,3,2,1]
[-1,2,5,4,-3]=>[-2,-1,4,3,-5]
[-1,2,5,-4,3]=>[-3,-2,4,-5,1]
[-1,2,5,-4,-3]=>[-2,-1,3,-5,-4]
[-1,2,-5,4,3]=>[-4,-3,5,2,1]
[-1,2,-5,4,-3]=>[-2,-1,5,3,-4]
[-1,2,-5,-4,3]=>[-3,-2,4,5,1]
[-1,2,-5,-4,-3]=>[-2,-1,3,4,5]
[-1,-2,5,4,3]=>[1,2,-5,-4,-3]
[-1,-2,5,4,-3]=>[1,-4,-3,-2,-5]
[-1,-2,5,-4,3]=>[-5,-3,-2,4,-1]
[-1,-2,5,-4,-3]=>[-3,-2,-1,-5,-4]
[-1,-2,-5,4,3]=>[1,5,-4,-3,-2]
[-1,-2,-5,4,-3]=>[5,-3,-2,-1,-4]
[-1,-2,-5,-4,3]=>[5,-3,-2,4,-1]
[-1,-2,-5,-4,-3]=>[3,4,5,1,2]
[1,3,2,4,5]=>[-5,2,1,3,4]
[1,3,2,4,-5]=>[-4,2,1,3,5]
[1,3,2,-4,5]=>[-3,2,1,-5,4]
[1,3,2,-4,-5]=>[-3,2,1,5,4]
[1,3,-2,4,5]=>[-1,2,-5,3,4]
[1,3,-2,4,-5]=>[-1,2,-4,3,5]
[1,3,-2,-4,5]=>[-1,2,-3,-5,4]
[1,3,-2,-4,-5]=>[-1,2,-3,5,4]
[1,-3,2,4,5]=>[-2,-5,1,3,4]
[1,-3,2,4,-5]=>[-2,-4,1,3,5]
[1,-3,2,-4,5]=>[-2,-4,1,-5,3]
[1,-3,2,-4,-5]=>[-2,5,1,4,3]
[1,-3,-2,4,5]=>[-1,-5,-4,2,3]
[1,-3,-2,4,-5]=>[-1,-4,-3,2,5]
[1,-3,-2,-4,5]=>[-1,-4,-3,-5,2]
[1,-3,-2,-4,-5]=>[-1,4,5,3,2]
[-1,3,2,4,5]=>[1,-5,-4,2,3]
[-1,3,2,4,-5]=>[1,-4,-3,2,5]
[-1,3,2,-4,5]=>[1,-3,-2,-5,4]
[-1,3,2,-4,-5]=>[1,-3,-2,5,4]
[-1,3,-2,4,5]=>[-4,-3,-5,1,2]
[-1,3,-2,4,-5]=>[-3,-2,-4,1,5]
[-1,3,-2,-4,5]=>[-2,-1,-3,-5,4]
[-1,3,-2,-4,-5]=>[-2,-1,-3,5,4]
[-1,-3,2,4,5]=>[-5,-2,-1,3,4]
[-1,-3,2,4,-5]=>[-4,-2,-1,3,5]
[-1,-3,2,-4,5]=>[-4,-2,-1,-5,3]
[-1,-3,2,-4,-5]=>[5,-2,-1,4,3]
[-1,-3,-2,4,5]=>[-4,-3,-5,-2,1]
[-1,-3,-2,4,-5]=>[-3,-2,-4,-1,5]
[-1,-3,-2,-4,5]=>[-4,-3,-5,-2,-1]
[-1,-3,-2,-4,-5]=>[2,3,1,4,5]
[1,3,2,5,4]=>[-5,2,1,4,3]
[1,3,2,5,-4]=>[-3,2,1,4,-5]
[1,3,2,-5,4]=>[-4,2,1,5,3]
[1,3,2,-5,-4]=>[-3,2,1,4,5]
[1,3,-2,5,4]=>[-1,2,-5,4,3]
[1,3,-2,5,-4]=>[-1,2,-3,4,-5]
[1,3,-2,-5,4]=>[-1,2,-4,5,3]
[1,3,-2,-5,-4]=>[-1,2,-3,4,5]
[1,-3,2,5,4]=>[-2,-5,1,4,3]
[1,-3,2,5,-4]=>[-2,-4,1,3,-5]
[1,-3,2,-5,4]=>[-2,-4,1,5,3]
[1,-3,2,-5,-4]=>[-2,5,1,3,4]
[1,-3,-2,5,4]=>[-1,-5,-4,3,2]
[1,-3,-2,5,-4]=>[-1,-4,-3,2,-5]
[1,-3,-2,-5,4]=>[-1,-4,-3,5,2]
[1,-3,-2,-5,-4]=>[-1,4,5,2,3]
[-1,3,2,5,4]=>[1,-5,-4,3,2]
[-1,3,2,5,-4]=>[1,-3,-2,4,-5]
[-1,3,2,-5,4]=>[1,-4,-3,5,2]
[-1,3,2,-5,-4]=>[1,-3,-2,4,5]
[-1,3,-2,5,4]=>[-4,-3,-5,2,1]
[-1,3,-2,5,-4]=>[-2,-1,-3,4,-5]
[-1,3,-2,-5,4]=>[-3,-2,-4,5,1]
[-1,3,-2,-5,-4]=>[-2,-1,-3,4,5]
[-1,-3,2,5,4]=>[-5,-2,-1,4,3]
[-1,-3,2,5,-4]=>[-4,-2,-1,3,-5]
[-1,-3,2,-5,4]=>[-4,-2,-1,5,3]
[-1,-3,2,-5,-4]=>[5,-2,-1,3,4]
[-1,-3,-2,5,4]=>[-5,-4,1,-3,-2]
[-1,-3,-2,5,-4]=>[-3,-2,-4,-1,-5]
[-1,-3,-2,-5,4]=>[-4,-3,5,-2,-1]
[-1,-3,-2,-5,-4]=>[3,4,2,5,1]
[1,3,4,2,5]=>[-5,2,3,1,4]
[1,3,4,2,-5]=>[-4,2,3,1,5]
[1,3,4,-2,5]=>[-1,2,3,-5,4]
[1,3,4,-2,-5]=>[-1,2,3,-4,5]
[1,3,-4,2,5]=>[-3,2,-5,1,4]
[1,3,-4,2,-5]=>[-3,2,5,1,4]
[1,3,-4,-2,5]=>[-1,2,-5,-3,4]
[1,3,-4,-2,-5]=>[-1,2,5,-3,4]
[1,-3,4,2,5]=>[-2,-5,3,1,4]
[1,-3,4,2,-5]=>[-2,-4,3,1,5]
[1,-3,4,-2,5]=>[-1,-5,2,-4,3]
[1,-3,4,-2,-5]=>[-1,-4,2,-3,5]
[1,-3,-4,2,5]=>[-2,-4,-5,1,3]
[1,-3,-4,2,-5]=>[-2,5,4,1,3]
[1,-3,-4,-2,5]=>[-1,-4,-5,-3,2]
[1,-3,-4,-2,-5]=>[-1,4,3,5,2]
[-1,3,4,2,5]=>[2,-5,1,-4,3]
[-1,3,4,2,-5]=>[2,-4,1,-3,5]
[-1,3,4,-2,5]=>[-4,-3,1,-5,2]
[-1,3,4,-2,-5]=>[-3,-2,1,-4,5]
[-1,3,-4,2,5]=>[-5,-3,1,-2,4]
[-1,3,-4,2,-5]=>[5,-3,1,-2,4]
[-1,3,-4,-2,5]=>[-2,-1,-5,-3,4]
[-1,3,-4,-2,-5]=>[-2,-1,5,-3,4]
[-1,-3,4,2,5]=>[3,-5,-2,-1,4]
[-1,-3,4,2,-5]=>[3,-4,-2,-1,5]
[-1,-3,4,-2,5]=>[-5,-3,-2,-4,1]
[-1,-3,4,-2,-5]=>[-4,-2,-1,-3,5]
[-1,-3,-4,2,5]=>[-5,-4,-2,-1,3]
[-1,-3,-4,2,-5]=>[4,5,-2,-1,3]
[-1,-3,-4,-2,5]=>[-5,-3,-2,-4,-1]
[-1,-3,-4,-2,-5]=>[1,3,4,2,5]
[1,3,4,5,2]=>[-5,2,3,4,1]
[1,3,4,5,-2]=>[-1,2,3,4,-5]
[1,3,4,-5,2]=>[-4,2,3,5,1]
[1,3,4,-5,-2]=>[-1,2,3,5,-4]
[1,3,-4,5,2]=>[-3,2,-5,4,1]
[1,3,-4,5,-2]=>[-1,2,-5,4,-3]
[1,3,-4,-5,2]=>[-3,2,5,4,1]
[1,3,-4,-5,-2]=>[-1,2,5,4,-3]
[1,-3,4,5,2]=>[-2,-5,3,4,1]
[1,-3,4,5,-2]=>[-1,-5,2,3,-4]
[1,-3,4,-5,2]=>[-2,-4,3,5,1]
[1,-3,4,-5,-2]=>[-1,-4,2,5,-3]
[1,-3,-4,5,2]=>[-2,-4,-5,3,1]
[1,-3,-4,5,-2]=>[-1,-4,-5,2,-3]
[1,-3,-4,-5,2]=>[-2,5,4,3,1]
[1,-3,-4,-5,-2]=>[-1,4,3,2,5]
[-1,3,4,5,2]=>[3,-5,1,2,-4]
[-1,3,4,5,-2]=>[-4,-3,1,2,-5]
[-1,3,4,-5,2]=>[5,-4,1,2,-3]
[-1,3,4,-5,-2]=>[-3,-2,1,5,-4]
[-1,3,-4,5,2]=>[-5,-3,4,1,-2]
[-1,3,-4,5,-2]=>[-2,-1,-5,4,-3]
[-1,3,-4,-5,2]=>[5,-3,4,1,-2]
[-1,3,-4,-5,-2]=>[-2,-1,5,4,-3]
[-1,-3,4,5,2]=>[4,-5,-2,3,-1]
[-1,-3,4,5,-2]=>[-5,-3,-2,1,-4]
[-1,-3,4,-5,2]=>[5,-4,-2,3,-1]
[-1,-3,4,-5,-2]=>[-4,-2,-1,5,-3]
[-1,-3,-4,5,2]=>[3,-5,-4,-2,-1]
[-1,-3,-4,5,-2]=>[-5,-4,-2,-1,-3]
[-1,-3,-4,-5,2]=>[3,4,5,-2,-1]
[-1,-3,-4,-5,-2]=>[1,2,4,5,3]
[1,3,5,2,4]=>[-5,2,4,1,3]
[1,3,5,2,-4]=>[-3,2,4,1,-5]
[1,3,5,-2,4]=>[-1,2,4,-5,3]
[1,3,5,-2,-4]=>[-1,2,4,-3,-5]
[1,3,-5,2,4]=>[-4,2,5,1,3]
[1,3,-5,2,-4]=>[-3,2,4,1,5]
[1,3,-5,-2,4]=>[-1,2,5,-4,3]
[1,3,-5,-2,-4]=>[-1,2,4,-3,5]
[1,-3,5,2,4]=>[-2,-5,4,1,3]
[1,-3,5,2,-4]=>[-2,-4,3,1,-5]
[1,-3,5,-2,4]=>[-1,-5,3,-4,2]
[1,-3,5,-2,-4]=>[-1,-4,2,-3,-5]
[1,-3,-5,2,4]=>[-2,-4,5,1,3]
[1,-3,-5,2,-4]=>[-2,5,3,1,4]
[1,-3,-5,-2,4]=>[-1,-4,5,-3,2]
[1,-3,-5,-2,-4]=>[-1,4,2,5,3]
[-1,3,5,2,4]=>[3,-5,1,-4,2]
[-1,3,5,2,-4]=>[4,-3,1,-2,-5]
[-1,3,5,-2,4]=>[-4,-3,2,-5,1]
[-1,3,5,-2,-4]=>[-2,-1,4,-3,-5]
[-1,3,-5,2,4]=>[5,-4,1,-3,2]
[-1,3,-5,2,-4]=>[4,-3,1,-2,5]
[-1,3,-5,-2,4]=>[-3,-2,5,-4,1]
[-1,3,-5,-2,-4]=>[-2,-1,4,-3,5]
[-1,-3,5,2,4]=>[4,-5,-2,-1,3]
[-1,-3,5,2,-4]=>[3,-4,-2,-1,-5]
[-1,-3,5,-2,4]=>[1,-4,-3,-5,-2]
[-1,-3,5,-2,-4]=>[-4,-2,-1,-3,-5]
[-1,-3,-5,2,4]=>[5,-4,-2,-1,3]
[-1,-3,-5,2,-4]=>[3,5,-2,-1,4]
[-1,-3,-5,-2,4]=>[5,-3,-2,-4,-1]
[-1,-3,-5,-2,-4]=>[2,4,5,3,1]
[1,3,5,4,2]=>[-5,2,4,3,1]
[1,3,5,4,-2]=>[-1,2,4,3,-5]
[1,3,5,-4,2]=>[-3,2,4,-5,1]
[1,3,5,-4,-2]=>[-1,2,4,-5,-3]
[1,3,-5,4,2]=>[-4,2,5,3,1]
[1,3,-5,4,-2]=>[-1,2,5,3,-4]
[1,3,-5,-4,2]=>[-3,2,4,5,1]
[1,3,-5,-4,-2]=>[-1,2,4,5,-3]
[1,-3,5,4,2]=>[-2,-5,4,3,1]
[1,-3,5,4,-2]=>[-1,-5,3,2,-4]
[1,-3,5,-4,2]=>[-2,-4,3,-5,1]
[1,-3,5,-4,-2]=>[-1,-4,2,-5,-3]
[1,-3,-5,4,2]=>[-2,-4,5,3,1]
[1,-3,-5,4,-2]=>[-1,-4,5,2,-3]
[1,-3,-5,-4,2]=>[-2,5,3,4,1]
[1,-3,-5,-4,-2]=>[-1,4,2,3,5]
[-1,3,5,4,2]=>[3,-5,2,1,-4]
[-1,3,5,4,-2]=>[-4,-3,2,1,-5]
[-1,3,5,-4,2]=>[-5,-3,1,4,-2]
[-1,3,5,-4,-2]=>[-2,-1,4,-5,-3]
[-1,3,-5,4,2]=>[5,-4,2,1,-3]
[-1,3,-5,4,-2]=>[-3,-2,5,1,-4]
[-1,3,-5,-4,2]=>[5,-3,1,4,-2]
[-1,3,-5,-4,-2]=>[-2,-1,4,5,-3]
[-1,-3,5,4,2]=>[3,4,-5,-2,-1]
[-1,-3,5,4,-2]=>[1,-5,-3,-2,-4]
[-1,-3,5,-4,2]=>[-5,-4,-2,3,-1]
[-1,-3,5,-4,-2]=>[-4,-2,-1,-5,-3]
[-1,-3,-5,4,2]=>[3,5,-4,-2,-1]
[-1,-3,-5,4,-2]=>[5,-4,-2,-1,-3]
[-1,-3,-5,-4,2]=>[4,5,-2,3,-1]
[-1,-3,-5,-4,-2]=>[2,4,5,1,3]
[1,4,2,3,5]=>[-5,3,1,2,4]
[1,4,2,3,-5]=>[-4,3,1,2,5]
[1,4,2,-3,5]=>[-2,3,1,-5,4]
[1,4,2,-3,-5]=>[-2,3,1,-4,5]
[1,4,-2,3,5]=>[-1,3,-5,2,4]
[1,4,-2,3,-5]=>[-1,3,-4,2,5]
[1,4,-2,-3,5]=>[-1,2,-4,-5,3]
[1,4,-2,-3,-5]=>[-1,2,-3,-4,5]
[1,-4,2,3,5]=>[-3,-5,1,2,4]
[1,-4,2,3,-5]=>[-3,5,1,2,4]
[1,-4,2,-3,5]=>[-2,-5,1,-4,3]
[1,-4,2,-3,-5]=>[-2,4,1,5,3]
[1,-4,-2,3,5]=>[-1,-5,-3,2,4]
[1,-4,-2,3,-5]=>[-1,5,-3,2,4]
[1,-4,-2,-3,5]=>[-1,-5,-3,-4,2]
[1,-4,-2,-3,-5]=>[-1,3,5,4,2]
[-1,4,2,3,5]=>[2,-5,-4,1,3]
[-1,4,2,3,-5]=>[2,-4,-3,1,5]
[-1,4,2,-3,5]=>[3,-2,-1,-5,4]
[-1,4,2,-3,-5]=>[3,-2,-1,-4,5]
[-1,4,-2,3,5]=>[-5,-4,1,-3,2]
[-1,4,-2,3,-5]=>[-4,-3,1,-2,5]
[-1,4,-2,-3,5]=>[-3,-2,-4,-5,1]
[-1,4,-2,-3,-5]=>[-2,-1,-3,-4,5]
[-1,-4,2,3,5]=>[-5,-3,-2,1,4]
[-1,-4,2,3,-5]=>[5,-3,-2,1,4]
[-1,-4,2,-3,5]=>[-5,-2,-1,-4,3]
[-1,-4,2,-3,-5]=>[4,-2,-1,5,3]
[-1,-4,-2,3,5]=>[-3,-2,-5,-1,4]
[-1,-4,-2,3,-5]=>[-3,-2,5,-1,4]
[-1,-4,-2,-3,5]=>[-3,-2,-4,-5,-1]
[-1,-4,-2,-3,-5]=>[3,4,2,1,5]
[1,4,2,5,3]=>[-5,3,1,4,2]
[1,4,2,5,-3]=>[-2,3,1,4,-5]
[1,4,2,-5,3]=>[-4,3,1,5,2]
[1,4,2,-5,-3]=>[-2,3,1,5,-4]
[1,4,-2,5,3]=>[-1,3,-5,4,2]
[1,4,-2,5,-3]=>[-1,2,-4,3,-5]
[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]=>[-3,-5,1,4,2]
[1,-4,2,5,-3]=>[-2,-5,1,3,-4]
[1,-4,2,-5,3]=>[-3,5,1,4,2]
[1,-4,2,-5,-3]=>[-2,4,1,3,5]
[1,-4,-2,5,3]=>[-1,-5,-3,4,2]
[1,-4,-2,5,-3]=>[-1,-5,-3,2,-4]
[1,-4,-2,-5,3]=>[-1,5,-3,4,2]
[1,-4,-2,-5,-3]=>[-1,3,5,2,4]
[-1,4,2,5,3]=>[2,-5,-4,3,1]
[-1,4,2,5,-3]=>[3,-2,-1,4,-5]
[-1,4,2,-5,3]=>[2,-4,-3,5,1]
[-1,4,2,-5,-3]=>[3,-2,-1,5,-4]
[-1,4,-2,5,3]=>[-5,-4,2,1,-3]
[-1,4,-2,5,-3]=>[-3,-2,-4,1,-5]
[-1,4,-2,-5,3]=>[-4,-3,5,1,-2]
[-1,4,-2,-5,-3]=>[-2,-1,-3,5,-4]
[-1,-4,2,5,3]=>[-5,-3,-2,4,1]
[-1,-4,2,5,-3]=>[-5,-2,-1,3,-4]
[-1,-4,2,-5,3]=>[5,-3,-2,4,1]
[-1,-4,2,-5,-3]=>[4,-2,-1,3,5]
[-1,-4,-2,5,3]=>[-5,-3,4,-2,-1]
[-1,-4,-2,5,-3]=>[-3,-2,-5,-1,-4]
[-1,-4,-2,-5,3]=>[5,-3,4,-2,-1]
[-1,-4,-2,-5,-3]=>[3,4,1,5,2]
[1,4,3,2,5]=>[-5,3,2,1,4]
[1,4,3,2,-5]=>[-4,3,2,1,5]
[1,4,3,-2,5]=>[-1,3,2,-5,4]
[1,4,3,-2,-5]=>[-1,3,2,-4,5]
[1,4,-3,2,5]=>[-2,3,-5,1,4]
[1,4,-3,2,-5]=>[-2,3,-4,1,5]
[1,4,-3,-2,5]=>[-1,2,-5,-4,3]
[1,4,-3,-2,-5]=>[-1,2,-4,-3,5]
[1,-4,3,2,5]=>[-3,-5,2,1,4]
[1,-4,3,2,-5]=>[-3,5,2,1,4]
[1,-4,3,-2,5]=>[-1,-5,2,-3,4]
[1,-4,3,-2,-5]=>[-1,5,2,-3,4]
[1,-4,-3,2,5]=>[-2,-5,-4,1,3]
[1,-4,-3,2,-5]=>[-2,4,5,1,3]
[1,-4,-3,-2,5]=>[-1,-5,-4,-3,2]
[1,-4,-3,-2,-5]=>[-1,3,4,5,2]
[-1,4,3,2,5]=>[1,2,-5,-4,3]
[-1,4,3,2,-5]=>[1,2,-4,-3,5]
[-1,4,3,-2,5]=>[1,-4,-3,-5,2]
[-1,4,3,-2,-5]=>[1,-3,-2,-4,5]
[-1,4,-3,2,5]=>[-5,-2,3,-1,4]
[-1,4,-3,2,-5]=>[-4,-2,3,-1,5]
[-1,4,-3,-2,5]=>[-3,-2,-5,-4,1]
[-1,4,-3,-2,-5]=>[-2,-1,-4,-3,5]
[-1,-4,3,2,5]=>[1,-5,-3,-2,4]
[-1,-4,3,2,-5]=>[1,5,-3,-2,4]
[-1,-4,3,-2,5]=>[-5,-2,-1,-3,4]
[-1,-4,3,-2,-5]=>[5,-2,-1,-3,4]
[-1,-4,-3,2,5]=>[-4,-2,-5,-1,3]
[-1,-4,-3,2,-5]=>[5,-2,4,-1,3]
[-1,-4,-3,-2,5]=>[-3,-2,-5,-4,-1]
[-1,-4,-3,-2,-5]=>[3,4,1,2,5]
[1,4,3,5,2]=>[-5,3,2,4,1]
[1,4,3,5,-2]=>[-1,3,2,4,-5]
[1,4,3,-5,2]=>[-4,3,2,5,1]
[1,4,3,-5,-2]=>[-1,3,2,5,-4]
[1,4,-3,5,2]=>[-2,3,-5,4,1]
[1,4,-3,5,-2]=>[-1,2,-5,3,-4]
[1,4,-3,-5,2]=>[-2,3,-4,5,1]
[1,4,-3,-5,-2]=>[-1,2,-4,5,-3]
[1,-4,3,5,2]=>[-3,-5,2,4,1]
[1,-4,3,5,-2]=>[-1,-5,2,4,-3]
[1,-4,3,-5,2]=>[-3,5,2,4,1]
[1,-4,3,-5,-2]=>[-1,5,2,4,-3]
[1,-4,-3,5,2]=>[-2,-5,-4,3,1]
[1,-4,-3,5,-2]=>[-1,-5,-4,2,-3]
[1,-4,-3,-5,2]=>[-2,4,5,3,1]
[1,-4,-3,-5,-2]=>[-1,3,4,2,5]
[-1,4,3,5,2]=>[1,3,-5,2,-4]
[-1,4,3,5,-2]=>[1,-4,-3,2,-5]
[-1,4,3,-5,2]=>[1,5,-4,2,-3]
[-1,4,3,-5,-2]=>[1,-3,-2,5,-4]
[-1,4,-3,5,2]=>[-5,-2,4,3,-1]
[-1,4,-3,5,-2]=>[-3,-2,-5,1,-4]
[-1,4,-3,-5,2]=>[-4,-2,5,3,-1]
[-1,4,-3,-5,-2]=>[-2,-1,-4,5,-3]
[-1,-4,3,5,2]=>[4,-5,-3,1,-2]
[-1,-4,3,5,-2]=>[-5,-2,-1,4,-3]
[-1,-4,3,-5,2]=>[4,5,-3,1,-2]
[-1,-4,3,-5,-2]=>[5,-2,-1,4,-3]
[-1,-4,-3,5,2]=>[-5,-4,3,-2,-1]
[-1,-4,-3,5,-2]=>[-4,-2,-5,-1,-3]
[-1,-4,-3,-5,2]=>[4,5,3,-2,-1]
[-1,-4,-3,-5,-2]=>[2,4,1,5,3]
[1,4,5,2,3]=>[-5,3,4,1,2]
[1,4,5,2,-3]=>[-2,3,4,1,-5]
[1,4,5,-2,3]=>[-1,3,4,-5,2]
[1,4,5,-2,-3]=>[-1,2,3,-4,-5]
[1,4,-5,2,3]=>[-4,3,5,1,2]
[1,4,-5,2,-3]=>[-2,3,5,1,-4]
[1,4,-5,-2,3]=>[-1,3,5,-4,2]
[1,4,-5,-2,-3]=>[-1,2,5,-3,-4]
[1,-4,5,2,3]=>[-3,-5,4,1,2]
[1,-4,5,2,-3]=>[-2,-5,3,1,-4]
[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]=>[-3,5,4,1,2]
[1,-4,-5,2,-3]=>[-2,4,3,1,5]
[1,-4,-5,-2,3]=>[-1,5,4,-3,2]
[1,-4,-5,-2,-3]=>[-1,3,2,5,4]
[-1,4,5,2,3]=>[3,-5,2,-4,1]
[-1,4,5,2,-3]=>[4,-2,3,-1,-5]
[-1,4,5,-2,3]=>[-5,-4,1,2,-3]
[-1,4,5,-2,-3]=>[-3,-2,1,-4,-5]
[-1,4,-5,2,3]=>[5,-4,2,-3,1]
[-1,4,-5,2,-3]=>[5,-2,3,-1,-4]
[-1,4,-5,-2,3]=>[-4,-3,1,5,-2]
[-1,4,-5,-2,-3]=>[-2,-1,5,-3,-4]
[-1,-4,5,2,3]=>[4,-5,-3,-2,1]
[-1,-4,5,2,-3]=>[3,-5,-2,-1,-4]
[-1,-4,5,-2,3]=>[4,-3,-2,-5,-1]
[-1,-4,5,-2,-3]=>[-5,-2,-1,-3,-4]
[-1,-4,-5,2,3]=>[4,5,-3,-2,1]
[-1,-4,-5,2,-3]=>[3,4,-2,-1,5]
[-1,-4,-5,-2,3]=>[4,-3,-2,5,-1]
[-1,-4,-5,-2,-3]=>[1,4,5,3,2]
[1,4,5,3,2]=>[-5,3,4,2,1]
[1,4,5,3,-2]=>[-1,3,4,2,-5]
[1,4,5,-3,2]=>[-2,3,4,-5,1]
[1,4,5,-3,-2]=>[-1,2,3,-5,-4]
[1,4,-5,3,2]=>[-4,3,5,2,1]
[1,4,-5,3,-2]=>[-1,3,5,2,-4]
[1,4,-5,-3,2]=>[-2,3,5,-4,1]
[1,4,-5,-3,-2]=>[-1,2,5,-4,-3]
[1,-4,5,3,2]=>[-3,-5,4,2,1]
[1,-4,5,3,-2]=>[-1,-5,4,2,-3]
[1,-4,5,-3,2]=>[-2,-5,3,-4,1]
[1,-4,5,-3,-2]=>[-1,-5,2,-4,-3]
[1,-4,-5,3,2]=>[-3,5,4,2,1]
[1,-4,-5,3,-2]=>[-1,5,4,2,-3]
[1,-4,-5,-3,2]=>[-2,4,3,5,1]
[1,-4,-5,-3,-2]=>[-1,3,2,4,5]
[-1,4,5,3,2]=>[2,3,1,-5,-4]
[-1,4,5,3,-2]=>[2,-4,1,-3,-5]
[-1,4,5,-3,2]=>[-5,-2,3,4,-1]
[-1,4,5,-3,-2]=>[-3,-2,1,-5,-4]
[-1,4,-5,3,2]=>[2,5,1,-4,-3]
[-1,4,-5,3,-2]=>[5,-3,1,-2,-4]
[-1,4,-5,-3,2]=>[-4,-2,3,5,-1]
[-1,4,-5,-3,-2]=>[-2,-1,5,-4,-3]
[-1,-4,5,3,2]=>[1,4,-5,-3,-2]
[-1,-4,5,3,-2]=>[4,-5,-2,-1,-3]
[-1,-4,5,-3,2]=>[3,-4,-2,-5,-1]
[-1,-4,5,-3,-2]=>[-5,-2,-1,-4,-3]
[-1,-4,-5,3,2]=>[1,4,5,-3,-2]
[-1,-4,-5,3,-2]=>[4,5,-2,-1,-3]
[-1,-4,-5,-3,2]=>[3,5,-2,4,-1]
[-1,-4,-5,-3,-2]=>[1,4,5,2,3]
[1,5,2,3,4]=>[-5,4,1,2,3]
[1,5,2,3,-4]=>[-3,4,1,2,-5]
[1,5,2,-3,4]=>[-2,4,1,-5,3]
[1,5,2,-3,-4]=>[-2,3,1,-4,-5]
[1,5,-2,3,4]=>[-1,4,-5,2,3]
[1,5,-2,3,-4]=>[-1,4,-3,2,-5]
[1,5,-2,-3,4]=>[-1,3,-4,-5,2]
[1,5,-2,-3,-4]=>[-1,2,-3,-4,-5]
[1,-5,2,3,4]=>[-4,5,1,2,3]
[1,-5,2,3,-4]=>[-3,4,1,2,5]
[1,-5,2,-3,4]=>[-2,5,1,-4,3]
[1,-5,2,-3,-4]=>[-2,3,1,5,4]
[1,-5,-2,3,4]=>[-1,5,-4,2,3]
[1,-5,-2,3,-4]=>[-1,4,-3,2,5]
[1,-5,-2,-3,4]=>[-1,5,-3,-4,2]
[1,-5,-2,-3,-4]=>[-1,2,5,4,3]
[-1,5,2,3,4]=>[3,-5,-4,1,2]
[-1,5,2,3,-4]=>[4,-3,-2,1,-5]
[-1,5,2,-3,4]=>[4,-2,-1,-5,3]
[-1,5,2,-3,-4]=>[3,-2,-1,-4,-5]
[-1,5,-2,3,4]=>[-5,-4,2,-3,1]
[-1,5,-2,3,-4]=>[-3,-2,4,-1,-5]
[-1,5,-2,-3,4]=>[-4,-3,-5,1,-2]
[-1,5,-2,-3,-4]=>[-2,-1,-3,-4,-5]
[-1,-5,2,3,4]=>[5,-4,-3,1,2]
[-1,-5,2,3,-4]=>[4,-3,-2,1,5]
[-1,-5,2,-3,4]=>[5,-2,-1,-4,3]
[-1,-5,2,-3,-4]=>[3,-2,-1,5,4]
[-1,-5,-2,3,4]=>[-4,-3,5,-2,1]
[-1,-5,-2,3,-4]=>[-3,-2,4,-1,5]
[-1,-5,-2,-3,4]=>[-3,-2,-4,5,-1]
[-1,-5,-2,-3,-4]=>[4,5,3,2,1]
[1,5,2,4,3]=>[-5,4,1,3,2]
[1,5,2,4,-3]=>[-2,4,1,3,-5]
[1,5,2,-4,3]=>[-3,4,1,-5,2]
[1,5,2,-4,-3]=>[-2,3,1,-5,-4]
[1,5,-2,4,3]=>[-1,4,-5,3,2]
[1,5,-2,4,-3]=>[-1,3,-4,2,-5]
[1,5,-2,-4,3]=>[-1,4,-3,-5,2]
[1,5,-2,-4,-3]=>[-1,2,-3,-5,-4]
[1,-5,2,4,3]=>[-4,5,1,3,2]
[1,-5,2,4,-3]=>[-2,5,1,3,-4]
[1,-5,2,-4,3]=>[-3,4,1,5,2]
[1,-5,2,-4,-3]=>[-2,3,1,4,5]
[1,-5,-2,4,3]=>[-1,5,-4,3,2]
[1,-5,-2,4,-3]=>[-1,5,-3,2,-4]
[1,-5,-2,-4,3]=>[-1,4,-3,5,2]
[1,-5,-2,-4,-3]=>[-1,2,5,3,4]
[-1,5,2,4,3]=>[3,-5,-4,2,1]
[-1,5,2,4,-3]=>[4,-2,-1,3,-5]
[-1,5,2,-4,3]=>[4,-3,-2,-5,1]
[-1,5,2,-4,-3]=>[3,-2,-1,-5,-4]
[-1,5,-2,4,3]=>[2,-5,1,-4,-3]
[-1,5,-2,4,-3]=>[-4,-3,1,-2,-5]
[-1,5,-2,-4,3]=>[-3,-2,-5,4,-1]
[-1,5,-2,-4,-3]=>[-2,-1,-3,-5,-4]
[-1,-5,2,4,3]=>[5,-4,-3,2,1]
[-1,-5,2,4,-3]=>[5,-2,-1,3,-4]
[-1,-5,2,-4,3]=>[4,-3,-2,5,1]
[-1,-5,2,-4,-3]=>[3,-2,-1,4,5]
[-1,-5,-2,4,3]=>[5,-4,1,-3,-2]
[-1,-5,-2,4,-3]=>[-3,-2,5,-1,-4]
[-1,-5,-2,-4,3]=>[-3,-2,5,4,-1]
[-1,-5,-2,-4,-3]=>[4,5,3,1,2]
[1,5,3,2,4]=>[-5,4,2,1,3]
[1,5,3,2,-4]=>[-3,4,2,1,-5]
[1,5,3,-2,4]=>[-1,4,2,-5,3]
[1,5,3,-2,-4]=>[-1,4,2,-3,-5]
[1,5,-3,2,4]=>[-2,4,-5,1,3]
[1,5,-3,2,-4]=>[-2,3,-4,1,-5]
[1,5,-3,-2,4]=>[-1,3,-5,-4,2]
[1,5,-3,-2,-4]=>[-1,2,-4,-3,-5]
[1,-5,3,2,4]=>[-4,5,2,1,3]
[1,-5,3,2,-4]=>[-3,4,2,1,5]
[1,-5,3,-2,4]=>[-1,5,2,-4,3]
[1,-5,3,-2,-4]=>[-1,4,2,-3,5]
[1,-5,-3,2,4]=>[-2,5,-4,1,3]
[1,-5,-3,2,-4]=>[-2,3,5,1,4]
[1,-5,-3,-2,4]=>[-1,5,-4,-3,2]
[1,-5,-3,-2,-4]=>[-1,2,4,5,3]
[-1,5,3,2,4]=>[1,3,-5,-4,2]
[-1,5,3,2,-4]=>[1,4,-3,-2,-5]
[-1,5,3,-2,4]=>[2,-4,-3,-5,1]
[-1,5,3,-2,-4]=>[4,-2,-1,-3,-5]
[-1,5,-3,2,4]=>[-5,-2,4,-1,3]
[-1,5,-3,2,-4]=>[-4,-2,3,-1,-5]
[-1,5,-3,-2,4]=>[-4,-3,1,-5,-2]
[-1,5,-3,-2,-4]=>[-2,-1,-4,-3,-5]
[-1,-5,3,2,4]=>[1,5,-4,-3,2]
[-1,-5,3,2,-4]=>[1,4,-3,-2,5]
[-1,-5,3,-2,4]=>[5,-3,-2,-4,1]
[-1,-5,3,-2,-4]=>[4,-2,-1,-3,5]
[-1,-5,-3,2,4]=>[-4,-2,5,-1,3]
[-1,-5,-3,2,-4]=>[5,-2,3,-1,4]
[-1,-5,-3,-2,4]=>[-3,-2,5,-4,-1]
[-1,-5,-3,-2,-4]=>[4,5,2,3,1]
[1,5,3,4,2]=>[-5,4,2,3,1]
[1,5,3,4,-2]=>[-1,4,2,3,-5]
[1,5,3,-4,2]=>[-3,4,2,-5,1]
[1,5,3,-4,-2]=>[-1,4,2,-5,-3]
[1,5,-3,4,2]=>[-2,4,-5,3,1]
[1,5,-3,4,-2]=>[-1,3,-5,2,-4]
[1,5,-3,-4,2]=>[-2,3,-4,-5,1]
[1,5,-3,-4,-2]=>[-1,2,-4,-5,-3]
[1,-5,3,4,2]=>[-4,5,2,3,1]
[1,-5,3,4,-2]=>[-1,5,2,3,-4]
[1,-5,3,-4,2]=>[-3,4,2,5,1]
[1,-5,3,-4,-2]=>[-1,4,2,5,-3]
[1,-5,-3,4,2]=>[-2,5,-4,3,1]
[1,-5,-3,4,-2]=>[-1,5,-4,2,-3]
[1,-5,-3,-4,2]=>[-2,3,5,4,1]
[1,-5,-3,-4,-2]=>[-1,2,4,3,5]
[-1,5,3,4,2]=>[2,3,-5,1,-4]
[-1,5,3,4,-2]=>[2,-4,-3,1,-5]
[-1,5,3,-4,2]=>[1,-5,-3,4,-2]
[-1,5,3,-4,-2]=>[4,-2,-1,-5,-3]
[-1,5,-3,4,2]=>[4,-5,3,-2,-1]
[-1,5,-3,4,-2]=>[-5,-3,1,-2,-4]
[-1,5,-3,-4,2]=>[-4,-2,-5,3,-1]
[-1,5,-3,-4,-2]=>[-2,-1,-4,-5,-3]
[-1,-5,3,4,2]=>[2,5,-4,1,-3]
[-1,-5,3,4,-2]=>[5,-3,-2,1,-4]
[-1,-5,3,-4,2]=>[1,5,-3,4,-2]
[-1,-5,3,-4,-2]=>[4,-2,-1,5,-3]
[-1,-5,-3,4,2]=>[5,-4,3,-2,-1]
[-1,-5,-3,4,-2]=>[-4,-2,5,-1,-3]
[-1,-5,-3,-4,2]=>[5,-2,4,3,-1]
[-1,-5,-3,-4,-2]=>[4,5,2,1,3]
[1,5,4,2,3]=>[-5,4,3,1,2]
[1,5,4,2,-3]=>[-2,4,3,1,-5]
[1,5,4,-2,3]=>[-1,4,3,-5,2]
[1,5,4,-2,-3]=>[-1,3,2,-4,-5]
[1,5,-4,2,3]=>[-3,4,-5,1,2]
[1,5,-4,2,-3]=>[-2,3,-5,1,-4]
[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]=>[-4,5,3,1,2]
[1,-5,4,2,-3]=>[-2,5,3,1,-4]
[1,-5,4,-2,3]=>[-1,5,3,-4,2]
[1,-5,4,-2,-3]=>[-1,5,2,-3,-4]
[1,-5,-4,2,3]=>[-3,4,5,1,2]
[1,-5,-4,2,-3]=>[-2,3,4,1,5]
[1,-5,-4,-2,3]=>[-1,4,5,-3,2]
[1,-5,-4,-2,-3]=>[-1,2,3,5,4]
[-1,5,4,2,3]=>[2,3,-5,-4,1]
[-1,5,4,2,-3]=>[3,4,-2,-1,-5]
[-1,5,4,-2,3]=>[1,-5,-4,2,-3]
[-1,5,4,-2,-3]=>[1,-3,-2,-4,-5]
[-1,5,-4,2,3]=>[-5,-3,4,-2,1]
[-1,5,-4,2,-3]=>[-5,-2,3,-1,-4]
[-1,5,-4,-2,3]=>[-3,-2,4,-5,-1]
[-1,5,-4,-2,-3]=>[-2,-1,-5,-3,-4]
[-1,-5,4,2,3]=>[2,5,-4,-3,1]
[-1,-5,4,2,-3]=>[3,5,-2,-1,-4]
[-1,-5,4,-2,3]=>[1,-4,-3,5,-2]
[-1,-5,4,-2,-3]=>[5,-2,-1,-3,-4]
[-1,-5,-4,2,3]=>[5,-3,4,-2,1]
[-1,-5,-4,2,-3]=>[4,-2,3,-1,5]
[-1,-5,-4,-2,3]=>[-3,-2,4,5,-1]
[-1,-5,-4,-2,-3]=>[4,5,1,3,2]
[1,5,4,3,2]=>[-5,4,3,2,1]
[1,5,4,3,-2]=>[-1,4,3,2,-5]
[1,5,4,-3,2]=>[-2,4,3,-5,1]
[1,5,4,-3,-2]=>[-1,3,2,-5,-4]
[1,5,-4,3,2]=>[-3,4,-5,2,1]
[1,5,-4,3,-2]=>[-1,4,-5,2,-3]
[1,5,-4,-3,2]=>[-2,3,-5,-4,1]
[1,5,-4,-3,-2]=>[-1,2,-5,-4,-3]
[1,-5,4,3,2]=>[-4,5,3,2,1]
[1,-5,4,3,-2]=>[-1,5,3,2,-4]
[1,-5,4,-3,2]=>[-2,5,3,-4,1]
[1,-5,4,-3,-2]=>[-1,5,2,-4,-3]
[1,-5,-4,3,2]=>[-3,4,5,2,1]
[1,-5,-4,3,-2]=>[-1,4,5,2,-3]
[1,-5,-4,-3,2]=>[-2,3,4,5,1]
[1,-5,-4,-3,-2]=>[-1,2,3,4,5]
[-1,5,4,3,2]=>[1,2,3,-5,-4]
[-1,5,4,3,-2]=>[1,2,-4,-3,-5]
[-1,5,4,-3,2]=>[3,-5,-2,4,-1]
[-1,5,4,-3,-2]=>[1,-3,-2,-5,-4]
[-1,5,-4,3,2]=>[4,-5,1,-3,-2]
[-1,5,-4,3,-2]=>[-5,-2,4,-1,-3]
[-1,5,-4,-3,2]=>[-4,-2,3,-5,-1]
[-1,5,-4,-3,-2]=>[-2,-1,-5,-4,-3]
[-1,-5,4,3,2]=>[1,2,5,-4,-3]
[-1,-5,4,3,-2]=>[1,5,-3,-2,-4]
[-1,-5,4,-3,2]=>[3,-4,-2,5,-1]
[-1,-5,4,-3,-2]=>[5,-2,-1,-4,-3]
[-1,-5,-4,3,2]=>[4,5,1,-3,-2]
[-1,-5,-4,3,-2]=>[5,-2,4,-1,-3]
[-1,-5,-4,-3,2]=>[5,-2,3,4,-1]
[-1,-5,-4,-3,-2]=>[4,5,1,2,3]
[2,1,3,4,5]=>[1,-5,2,3,4]
[2,1,3,4,-5]=>[1,-4,2,3,5]
[2,1,3,-4,5]=>[1,-3,2,-5,4]
[2,1,3,-4,-5]=>[1,-3,2,5,4]
[2,1,-3,4,5]=>[1,-2,-5,3,4]
[2,1,-3,4,-5]=>[1,-2,-4,3,5]
[2,1,-3,-4,5]=>[1,-2,-4,-5,3]
[2,1,-3,-4,-5]=>[1,-2,5,4,3]
[2,-1,3,4,5]=>[-4,-5,1,2,3]
[2,-1,3,4,-5]=>[-3,-4,1,2,5]
[2,-1,3,-4,5]=>[-2,-3,1,-5,4]
[2,-1,3,-4,-5]=>[-2,-3,1,5,4]
[2,-1,-3,4,5]=>[-1,-2,-5,3,4]
[2,-1,-3,4,-5]=>[-1,-2,-4,3,5]
[2,-1,-3,-4,5]=>[-1,-2,-4,-5,3]
[2,-1,-3,-4,-5]=>[-1,-2,5,4,3]
[-2,1,3,4,5]=>[-5,-1,2,3,4]
[-2,1,3,4,-5]=>[-4,-1,2,3,5]
[-2,1,3,-4,5]=>[-3,-1,2,-5,4]
[-2,1,3,-4,-5]=>[-3,-1,2,5,4]
[-2,1,-3,4,5]=>[-4,-1,-5,2,3]
[-2,1,-3,4,-5]=>[-3,-1,-4,2,5]
[-2,1,-3,-4,5]=>[-3,-1,-4,-5,2]
[-2,1,-3,-4,-5]=>[5,-1,4,3,2]
[-2,-1,3,4,5]=>[-4,-5,-3,1,2]
[-2,-1,3,4,-5]=>[-3,-4,-2,1,5]
[-2,-1,3,-4,5]=>[-2,-3,-1,-5,4]
[-2,-1,3,-4,-5]=>[-2,-3,-1,5,4]
[-2,-1,-3,4,5]=>[-4,-5,-3,-2,1]
[-2,-1,-3,4,-5]=>[-3,-4,-2,-1,5]
[-2,-1,-3,-4,5]=>[-4,-5,-3,-2,-1]
[-2,-1,-3,-4,-5]=>[2,1,3,4,5]
[2,1,3,5,4]=>[1,-5,2,4,3]
[2,1,3,5,-4]=>[1,-3,2,4,-5]
[2,1,3,-5,4]=>[1,-4,2,5,3]
[2,1,3,-5,-4]=>[1,-3,2,4,5]
[2,1,-3,5,4]=>[1,-2,-5,4,3]
[2,1,-3,5,-4]=>[1,-2,-4,3,-5]
[2,1,-3,-5,4]=>[1,-2,-4,5,3]
[2,1,-3,-5,-4]=>[1,-2,5,3,4]
[2,-1,3,5,4]=>[-4,-5,1,3,2]
[2,-1,3,5,-4]=>[-2,-3,1,4,-5]
[2,-1,3,-5,4]=>[-3,-4,1,5,2]
[2,-1,3,-5,-4]=>[-2,-3,1,4,5]
[2,-1,-3,5,4]=>[-1,-2,-5,4,3]
[2,-1,-3,5,-4]=>[-1,-2,-4,3,-5]
[2,-1,-3,-5,4]=>[-1,-2,-4,5,3]
[2,-1,-3,-5,-4]=>[-1,-2,5,3,4]
[-2,1,3,5,4]=>[-5,-1,2,4,3]
[-2,1,3,5,-4]=>[-3,-1,2,4,-5]
[-2,1,3,-5,4]=>[-4,-1,2,5,3]
[-2,1,3,-5,-4]=>[-3,-1,2,4,5]
[-2,1,-3,5,4]=>[-4,-1,-5,3,2]
[-2,1,-3,5,-4]=>[-3,-1,-4,2,-5]
[-2,1,-3,-5,4]=>[-3,-1,-4,5,2]
[-2,1,-3,-5,-4]=>[5,-1,4,2,3]
[-2,-1,3,5,4]=>[-4,-5,-3,2,1]
[-2,-1,3,5,-4]=>[-2,-3,-1,4,-5]
[-2,-1,3,-5,4]=>[-3,-4,-2,5,1]
[-2,-1,3,-5,-4]=>[-2,-3,-1,4,5]
[-2,-1,-3,5,4]=>[-5,1,-4,-3,-2]
[-2,-1,-3,5,-4]=>[-3,-4,-2,-1,-5]
[-2,-1,-3,-5,4]=>[-4,5,-3,-2,-1]
[-2,-1,-3,-5,-4]=>[3,2,4,5,1]
[2,1,4,3,5]=>[1,-5,3,2,4]
[2,1,4,3,-5]=>[1,-4,3,2,5]
[2,1,4,-3,5]=>[1,-2,3,-5,4]
[2,1,4,-3,-5]=>[1,-2,3,-4,5]
[2,1,-4,3,5]=>[1,-3,-5,2,4]
[2,1,-4,3,-5]=>[1,-3,5,2,4]
[2,1,-4,-3,5]=>[1,-2,-5,-4,3]
[2,1,-4,-3,-5]=>[1,-2,4,5,3]
[2,-1,4,3,5]=>[-4,-5,2,1,3]
[2,-1,4,3,-5]=>[-3,-4,2,1,5]
[2,-1,4,-3,5]=>[-1,-2,3,-5,4]
[2,-1,4,-3,-5]=>[-1,-2,3,-4,5]
[2,-1,-4,3,5]=>[-2,-3,-5,1,4]
[2,-1,-4,3,-5]=>[-2,-3,5,1,4]
[2,-1,-4,-3,5]=>[-1,-2,-5,-4,3]
[2,-1,-4,-3,-5]=>[-1,-2,4,5,3]
[-2,1,4,3,5]=>[-5,-1,3,2,4]
[-2,1,4,3,-5]=>[-4,-1,3,2,5]
[-2,1,4,-3,5]=>[-4,-1,2,-5,3]
[-2,1,4,-3,-5]=>[-3,-1,2,-4,5]
[-2,1,-4,3,5]=>[-3,-1,-5,2,4]
[-2,1,-4,3,-5]=>[-3,-1,5,2,4]
[-2,1,-4,-3,5]=>[-3,-1,-5,-4,2]
[-2,1,-4,-3,-5]=>[5,-1,3,4,2]
[-2,-1,4,3,5]=>[-5,1,-4,-3,2]
[-2,-1,4,3,-5]=>[-4,1,-3,-2,5]
[-2,-1,4,-3,5]=>[-3,-4,-2,-5,1]
[-2,-1,4,-3,-5]=>[-2,-3,-1,-4,5]
[-2,-1,-4,3,5]=>[-3,-5,-2,-1,4]
[-2,-1,-4,3,-5]=>[-3,5,-2,-1,4]
[-2,-1,-4,-3,5]=>[-3,-4,-2,-5,-1]
[-2,-1,-4,-3,-5]=>[3,2,4,1,5]
[2,1,4,5,3]=>[1,-5,3,4,2]
[2,1,4,5,-3]=>[1,-2,3,4,-5]
[2,1,4,-5,3]=>[1,-4,3,5,2]
[2,1,4,-5,-3]=>[1,-2,3,5,-4]
[2,1,-4,5,3]=>[1,-3,-5,4,2]
[2,1,-4,5,-3]=>[1,-2,-5,3,-4]
[2,1,-4,-5,3]=>[1,-3,5,4,2]
[2,1,-4,-5,-3]=>[1,-2,4,3,5]
[2,-1,4,5,3]=>[-4,-5,2,3,1]
[2,-1,4,5,-3]=>[-1,-2,3,4,-5]
[2,-1,4,-5,3]=>[-3,-4,2,5,1]
[2,-1,4,-5,-3]=>[-1,-2,3,5,-4]
[2,-1,-4,5,3]=>[-2,-3,-5,4,1]
[2,-1,-4,5,-3]=>[-1,-2,-5,3,-4]
[2,-1,-4,-5,3]=>[-2,-3,5,4,1]
[2,-1,-4,-5,-3]=>[-1,-2,4,3,5]
[-2,1,4,5,3]=>[-5,-1,3,4,2]
[-2,1,4,5,-3]=>[-4,-1,2,3,-5]
[-2,1,4,-5,3]=>[-4,-1,3,5,2]
[-2,1,4,-5,-3]=>[-3,-1,2,5,-4]
[-2,1,-4,5,3]=>[-3,-1,-5,4,2]
[-2,1,-4,5,-3]=>[-3,-1,-5,2,-4]
[-2,1,-4,-5,3]=>[-3,-1,5,4,2]
[-2,1,-4,-5,-3]=>[5,-1,3,2,4]
[-2,-1,4,5,3]=>[-5,2,-4,1,-3]
[-2,-1,4,5,-3]=>[-3,-4,-2,1,-5]
[-2,-1,4,-5,3]=>[-4,5,-3,1,-2]
[-2,-1,4,-5,-3]=>[-2,-3,-1,5,-4]
[-2,-1,-4,5,3]=>[-5,4,-3,-2,-1]
[-2,-1,-4,5,-3]=>[-3,-5,-2,-1,-4]
[-2,-1,-4,-5,3]=>[5,4,-3,-2,-1]
[-2,-1,-4,-5,-3]=>[3,1,4,5,2]
[2,1,5,3,4]=>[1,-5,4,2,3]
[2,1,5,3,-4]=>[1,-3,4,2,-5]
[2,1,5,-3,4]=>[1,-2,4,-5,3]
[2,1,5,-3,-4]=>[1,-2,3,-4,-5]
[2,1,-5,3,4]=>[1,-4,5,2,3]
[2,1,-5,3,-4]=>[1,-3,4,2,5]
[2,1,-5,-3,4]=>[1,-2,5,-4,3]
[2,1,-5,-3,-4]=>[1,-2,3,5,4]
[2,-1,5,3,4]=>[-4,-5,3,1,2]
[2,-1,5,3,-4]=>[-2,-3,4,1,-5]
[2,-1,5,-3,4]=>[-1,-2,4,-5,3]
[2,-1,5,-3,-4]=>[-1,-2,3,-4,-5]
[2,-1,-5,3,4]=>[-3,-4,5,1,2]
[2,-1,-5,3,-4]=>[-2,-3,4,1,5]
[2,-1,-5,-3,4]=>[-1,-2,5,-4,3]
[2,-1,-5,-3,-4]=>[-1,-2,3,5,4]
[-2,1,5,3,4]=>[-5,-1,4,2,3]
[-2,1,5,3,-4]=>[-3,-1,4,2,-5]
[-2,1,5,-3,4]=>[-4,-1,3,-5,2]
[-2,1,5,-3,-4]=>[-3,-1,2,-4,-5]
[-2,1,-5,3,4]=>[-4,-1,5,2,3]
[-2,1,-5,3,-4]=>[-3,-1,4,2,5]
[-2,1,-5,-3,4]=>[-3,-1,5,-4,2]
[-2,1,-5,-3,-4]=>[5,-1,2,4,3]
[-2,-1,5,3,4]=>[-5,2,-4,-3,1]
[-2,-1,5,3,-4]=>[-3,4,-2,-1,-5]
[-2,-1,5,-3,4]=>[-4,-5,-3,1,-2]
[-2,-1,5,-3,-4]=>[-2,-3,-1,-4,-5]
[-2,-1,-5,3,4]=>[-4,5,-3,-2,1]
[-2,-1,-5,3,-4]=>[-3,4,-2,-1,5]
[-2,-1,-5,-3,4]=>[-3,-4,-2,5,-1]
[-2,-1,-5,-3,-4]=>[4,3,5,2,1]
[2,1,5,4,3]=>[1,-5,4,3,2]
[2,1,5,4,-3]=>[1,-2,4,3,-5]
[2,1,5,-4,3]=>[1,-3,4,-5,2]
[2,1,5,-4,-3]=>[1,-2,3,-5,-4]
[2,1,-5,4,3]=>[1,-4,5,3,2]
[2,1,-5,4,-3]=>[1,-2,5,3,-4]
[2,1,-5,-4,3]=>[1,-3,4,5,2]
[2,1,-5,-4,-3]=>[1,-2,3,4,5]
[2,-1,5,4,3]=>[-4,-5,3,2,1]
[2,-1,5,4,-3]=>[-1,-2,4,3,-5]
[2,-1,5,-4,3]=>[-2,-3,4,-5,1]
[2,-1,5,-4,-3]=>[-1,-2,3,-5,-4]
[2,-1,-5,4,3]=>[-3,-4,5,2,1]
[2,-1,-5,4,-3]=>[-1,-2,5,3,-4]
[2,-1,-5,-4,3]=>[-2,-3,4,5,1]
[2,-1,-5,-4,-3]=>[-1,-2,3,4,5]
[-2,1,5,4,3]=>[-5,-1,4,3,2]
[-2,1,5,4,-3]=>[-4,-1,3,2,-5]
[-2,1,5,-4,3]=>[-3,-1,4,-5,2]
[-2,1,5,-4,-3]=>[-3,-1,2,-5,-4]
[-2,1,-5,4,3]=>[-4,-1,5,3,2]
[-2,1,-5,4,-3]=>[-3,-1,5,2,-4]
[-2,1,-5,-4,3]=>[-3,-1,4,5,2]
[-2,1,-5,-4,-3]=>[5,-1,2,3,4]
[-2,-1,5,4,3]=>[2,1,-5,-4,-3]
[-2,-1,5,4,-3]=>[-4,1,-3,-2,-5]
[-2,-1,5,-4,3]=>[-3,-5,-2,4,-1]
[-2,-1,5,-4,-3]=>[-2,-3,-1,-5,-4]
[-2,-1,-5,4,3]=>[5,1,-4,-3,-2]
[-2,-1,-5,4,-3]=>[-3,5,-2,-1,-4]
[-2,-1,-5,-4,3]=>[-3,5,-2,4,-1]
[-2,-1,-5,-4,-3]=>[4,3,5,1,2]
[2,3,1,4,5]=>[2,1,-5,3,4]
[2,3,1,4,-5]=>[2,1,-4,3,5]
[2,3,1,-4,5]=>[2,1,-3,-5,4]
[2,3,1,-4,-5]=>[2,1,-3,5,4]
[2,3,-1,4,5]=>[-4,1,-5,2,3]
[2,3,-1,4,-5]=>[-3,1,-4,2,5]
[2,3,-1,-4,5]=>[-2,1,-3,-5,4]
[2,3,-1,-4,-5]=>[-2,1,-3,5,4]
[2,-3,1,4,5]=>[-5,1,-2,3,4]
[2,-3,1,4,-5]=>[-4,1,-2,3,5]
[2,-3,1,-4,5]=>[-4,1,-2,-5,3]
[2,-3,1,-4,-5]=>[5,1,-2,4,3]
[2,-3,-1,4,5]=>[-1,-5,-2,3,4]
[2,-3,-1,4,-5]=>[-1,-4,-2,3,5]
[2,-3,-1,-4,5]=>[-1,-4,-2,-5,3]
[2,-3,-1,-4,-5]=>[-1,5,-2,4,3]
[-2,3,1,4,5]=>[2,-5,-1,3,4]
[-2,3,1,4,-5]=>[2,-4,-1,3,5]
[-2,3,1,-4,5]=>[2,-3,-1,-5,4]
[-2,3,1,-4,-5]=>[2,-3,-1,5,4]
[-2,3,-1,4,5]=>[-5,-3,-4,1,2]
[-2,3,-1,4,-5]=>[-4,-2,-3,1,5]
[-2,3,-1,-4,5]=>[-3,-1,-2,-5,4]
[-2,3,-1,-4,-5]=>[-3,-1,-2,5,4]
[-2,-3,1,4,5]=>[-5,-4,-1,2,3]
[-2,-3,1,4,-5]=>[-4,-3,-1,2,5]
[-2,-3,1,-4,5]=>[-4,-3,-1,-5,2]
[-2,-3,1,-4,-5]=>[4,5,-1,3,2]
[-2,-3,-1,4,5]=>[-5,-3,-4,-2,1]
[-2,-3,-1,4,-5]=>[-4,-2,-3,-1,5]
[-2,-3,-1,-4,5]=>[-5,-3,-4,-2,-1]
[-2,-3,-1,-4,-5]=>[1,3,2,4,5]
[2,3,1,5,4]=>[2,1,-5,4,3]
[2,3,1,5,-4]=>[2,1,-3,4,-5]
[2,3,1,-5,4]=>[2,1,-4,5,3]
[2,3,1,-5,-4]=>[2,1,-3,4,5]
[2,3,-1,5,4]=>[-4,1,-5,3,2]
[2,3,-1,5,-4]=>[-2,1,-3,4,-5]
[2,3,-1,-5,4]=>[-3,1,-4,5,2]
[2,3,-1,-5,-4]=>[-2,1,-3,4,5]
[2,-3,1,5,4]=>[-5,1,-2,4,3]
[2,-3,1,5,-4]=>[-4,1,-2,3,-5]
[2,-3,1,-5,4]=>[-4,1,-2,5,3]
[2,-3,1,-5,-4]=>[5,1,-2,3,4]
[2,-3,-1,5,4]=>[-1,-5,-2,4,3]
[2,-3,-1,5,-4]=>[-1,-4,-2,3,-5]
[2,-3,-1,-5,4]=>[-1,-4,-2,5,3]
[2,-3,-1,-5,-4]=>[-1,5,-2,3,4]
[-2,3,1,5,4]=>[2,-5,-1,4,3]
[-2,3,1,5,-4]=>[2,-3,-1,4,-5]
[-2,3,1,-5,4]=>[2,-4,-1,5,3]
[-2,3,1,-5,-4]=>[2,-3,-1,4,5]
[-2,3,-1,5,4]=>[-5,-3,-4,2,1]
[-2,3,-1,5,-4]=>[-3,-1,-2,4,-5]
[-2,3,-1,-5,4]=>[-4,-2,-3,5,1]
[-2,3,-1,-5,-4]=>[-3,-1,-2,4,5]
[-2,-3,1,5,4]=>[-5,-4,-1,3,2]
[-2,-3,1,5,-4]=>[-4,-3,-1,2,-5]
[-2,-3,1,-5,4]=>[-4,-3,-1,5,2]
[-2,-3,1,-5,-4]=>[4,5,-1,2,3]
[-2,-3,-1,5,4]=>[1,-4,-5,-3,-2]
[-2,-3,-1,5,-4]=>[-4,-2,-3,-1,-5]
[-2,-3,-1,-5,4]=>[5,-3,-4,-2,-1]
[-2,-3,-1,-5,-4]=>[2,4,3,5,1]
[2,3,4,1,5]=>[3,1,2,-5,4]
[2,3,4,1,-5]=>[3,1,2,-4,5]
[2,3,4,-1,5]=>[-4,1,2,-5,3]
[2,3,4,-1,-5]=>[-3,1,2,-4,5]
[2,3,-4,1,5]=>[-5,1,2,-3,4]
[2,3,-4,1,-5]=>[5,1,2,-3,4]
[2,3,-4,-1,5]=>[-2,1,-5,-3,4]
[2,3,-4,-1,-5]=>[-2,1,5,-3,4]
[2,-3,4,1,5]=>[-5,3,1,-2,4]
[2,-3,4,1,-5]=>[-4,3,1,-2,5]
[2,-3,4,-1,5]=>[-1,-5,3,-2,4]
[2,-3,4,-1,-5]=>[-1,-4,3,-2,5]
[2,-3,-4,1,5]=>[-4,-5,1,-2,3]
[2,-3,-4,1,-5]=>[5,4,1,-2,3]
[2,-3,-4,-1,5]=>[-1,-4,-5,-2,3]
[2,-3,-4,-1,-5]=>[-1,5,4,-2,3]
[-2,3,4,1,5]=>[3,-5,2,-1,4]
[-2,3,4,1,-5]=>[3,-4,2,-1,5]
[-2,3,4,-1,5]=>[-5,-3,1,-4,2]
[-2,3,4,-1,-5]=>[-4,-2,1,-3,5]
[-2,3,-4,1,5]=>[-5,-3,2,-1,4]
[-2,3,-4,1,-5]=>[5,-3,2,-1,4]
[-2,3,-4,-1,5]=>[-3,-1,-5,-2,4]
[-2,3,-4,-1,-5]=>[-3,-1,5,-2,4]
[-2,-3,4,1,5]=>[2,-5,-4,-1,3]
[-2,-3,4,1,-5]=>[2,-4,-3,-1,5]
[-2,-3,4,-1,5]=>[-5,-4,-2,-3,1]
[-2,-3,4,-1,-5]=>[-4,-3,-1,-2,5]
[-2,-3,-4,1,5]=>[-5,-4,-3,-1,2]
[-2,-3,-4,1,-5]=>[3,4,5,-1,2]
[-2,-3,-4,-1,5]=>[-5,-4,-2,-3,-1]
[-2,-3,-4,-1,-5]=>[1,2,4,3,5]
[2,3,4,5,1]=>[4,1,2,3,-5]
[2,3,4,5,-1]=>[-4,1,2,3,-5]
[2,3,4,-5,1]=>[5,1,2,3,-4]
[2,3,4,-5,-1]=>[-3,1,2,5,-4]
[2,3,-4,5,1]=>[-5,1,4,2,-3]
[2,3,-4,5,-1]=>[-2,1,-5,4,-3]
[2,3,-4,-5,1]=>[5,1,4,2,-3]
[2,3,-4,-5,-1]=>[-2,1,5,4,-3]
[2,-3,4,5,1]=>[-5,4,1,3,-2]
[2,-3,4,5,-1]=>[-1,-5,3,4,-2]
[2,-3,4,-5,1]=>[-4,5,1,3,-2]
[2,-3,4,-5,-1]=>[-1,-4,3,5,-2]
[2,-3,-4,5,1]=>[-4,-5,3,1,-2]
[2,-3,-4,5,-1]=>[-1,-4,-5,3,-2]
[2,-3,-4,-5,1]=>[5,4,3,1,-2]
[2,-3,-4,-5,-1]=>[-1,5,4,3,-2]
[-2,3,4,5,1]=>[4,-5,2,3,-1]
[-2,3,4,5,-1]=>[-5,-3,1,2,-4]
[-2,3,4,-5,1]=>[5,-4,2,3,-1]
[-2,3,4,-5,-1]=>[-4,-2,1,5,-3]
[-2,3,-4,5,1]=>[-5,-3,4,2,-1]
[-2,3,-4,5,-1]=>[-3,-1,-5,4,-2]
[-2,3,-4,-5,1]=>[5,-3,4,2,-1]
[-2,3,-4,-5,-1]=>[-3,-1,5,4,-2]
[-2,-3,4,5,1]=>[3,-5,-4,2,-1]
[-2,-3,4,5,-1]=>[-5,-4,-2,1,-3]
[-2,-3,4,-5,1]=>[5,-4,-3,2,-1]
[-2,-3,4,-5,-1]=>[-4,-3,-1,5,-2]
[-2,-3,-4,5,1]=>[2,-5,-4,-3,-1]
[-2,-3,-4,5,-1]=>[-5,-4,-3,-1,-2]
[-2,-3,-4,-5,1]=>[2,3,4,5,-1]
[-2,-3,-4,-5,-1]=>[1,2,3,5,4]
[2,3,5,1,4]=>[4,1,2,-5,3]
[2,3,5,1,-4]=>[4,1,2,-3,-5]
[2,3,5,-1,4]=>[-4,1,3,-5,2]
[2,3,5,-1,-4]=>[-2,1,4,-3,-5]
[2,3,-5,1,4]=>[5,1,2,-4,3]
[2,3,-5,1,-4]=>[4,1,2,-3,5]
[2,3,-5,-1,4]=>[-3,1,5,-4,2]
[2,3,-5,-1,-4]=>[-2,1,4,-3,5]
[2,-3,5,1,4]=>[-5,4,1,-2,3]
[2,-3,5,1,-4]=>[-4,3,1,-2,-5]
[2,-3,5,-1,4]=>[-1,-5,4,-2,3]
[2,-3,5,-1,-4]=>[-1,-4,3,-2,-5]
[2,-3,-5,1,4]=>[-4,5,1,-2,3]
[2,-3,-5,1,-4]=>[5,3,1,-2,4]
[2,-3,-5,-1,4]=>[-1,-4,5,-2,3]
[2,-3,-5,-1,-4]=>[-1,5,3,-2,4]
[-2,3,5,1,4]=>[4,-5,2,-1,3]
[-2,3,5,1,-4]=>[4,-3,2,-1,-5]
[-2,3,5,-1,4]=>[-5,-3,2,-4,1]
[-2,3,5,-1,-4]=>[-3,-1,4,-2,-5]
[-2,3,-5,1,4]=>[5,-4,2,-1,3]
[-2,3,-5,1,-4]=>[4,-3,2,-1,5]
[-2,3,-5,-1,4]=>[-4,-2,5,-3,1]
[-2,3,-5,-1,-4]=>[-3,-1,4,-2,5]
[-2,-3,5,1,4]=>[3,-5,-4,-1,2]
[-2,-3,5,1,-4]=>[2,-4,-3,-1,-5]
[-2,-3,5,-1,4]=>[1,-5,-3,-4,-2]
[-2,-3,5,-1,-4]=>[-4,-3,-1,-2,-5]
[-2,-3,-5,1,4]=>[5,-4,-3,-1,2]
[-2,-3,-5,1,-4]=>[2,4,5,-1,3]
[-2,-3,-5,-1,4]=>[5,-4,-2,-3,-1]
[-2,-3,-5,-1,-4]=>[2,3,5,4,1]
[2,3,5,4,1]=>[4,1,3,2,-5]
[2,3,5,4,-1]=>[-4,1,3,2,-5]
[2,3,5,-4,1]=>[-5,1,2,4,-3]
[2,3,5,-4,-1]=>[-2,1,4,-5,-3]
[2,3,-5,4,1]=>[5,1,3,2,-4]
[2,3,-5,4,-1]=>[-3,1,5,2,-4]
[2,3,-5,-4,1]=>[5,1,2,4,-3]
[2,3,-5,-4,-1]=>[-2,1,4,5,-3]
[2,-3,5,4,1]=>[-5,4,3,1,-2]
[2,-3,5,4,-1]=>[-1,-5,4,3,-2]
[2,-3,5,-4,1]=>[-4,-5,1,3,-2]
[2,-3,5,-4,-1]=>[-1,-4,3,-5,-2]
[2,-3,-5,4,1]=>[-4,5,3,1,-2]
[2,-3,-5,4,-1]=>[-1,-4,5,3,-2]
[2,-3,-5,-4,1]=>[5,4,1,3,-2]
[2,-3,-5,-4,-1]=>[-1,5,3,4,-2]
[-2,3,5,4,1]=>[4,-5,3,2,-1]
[-2,3,5,4,-1]=>[-5,-3,2,1,-4]
[-2,3,5,-4,1]=>[-5,-3,2,4,-1]
[-2,3,5,-4,-1]=>[-3,-1,4,-5,-2]
[-2,3,-5,4,1]=>[5,-4,3,2,-1]
[-2,3,-5,4,-1]=>[-4,-2,5,1,-3]
[-2,3,-5,-4,1]=>[5,-3,2,4,-1]
[-2,3,-5,-4,-1]=>[-3,-1,4,5,-2]
[-2,-3,5,4,1]=>[2,3,-5,-4,-1]
[-2,-3,5,4,-1]=>[1,-5,-4,-2,-3]
[-2,-3,5,-4,1]=>[-5,-4,-3,2,-1]
[-2,-3,5,-4,-1]=>[-4,-3,-1,-5,-2]
[-2,-3,-5,4,1]=>[2,5,-4,-3,-1]
[-2,-3,-5,4,-1]=>[5,-4,-3,-1,-2]
[-2,-3,-5,-4,1]=>[3,4,5,2,-1]
[-2,-3,-5,-4,-1]=>[2,3,5,1,4]
[2,4,1,3,5]=>[3,1,-5,2,4]
[2,4,1,3,-5]=>[3,1,-4,2,5]
[2,4,1,-3,5]=>[3,1,-2,-5,4]
[2,4,1,-3,-5]=>[3,1,-2,-4,5]
[2,4,-1,3,5]=>[-4,2,-5,1,3]
[2,4,-1,3,-5]=>[-3,2,-4,1,5]
[2,4,-1,-3,5]=>[-1,3,-2,-5,4]
[2,4,-1,-3,-5]=>[-1,3,-2,-4,5]
[2,-4,1,3,5]=>[-5,1,-3,2,4]
[2,-4,1,3,-5]=>[5,1,-3,2,4]
[2,-4,1,-3,5]=>[-5,1,-2,-4,3]
[2,-4,1,-3,-5]=>[4,1,-2,5,3]
[2,-4,-1,3,5]=>[-2,-5,-3,1,4]
[2,-4,-1,3,-5]=>[-2,5,-3,1,4]
[2,-4,-1,-3,5]=>[-1,-5,-2,-4,3]
[2,-4,-1,-3,-5]=>[-1,4,-2,5,3]
[-2,4,1,3,5]=>[3,-5,-1,2,4]
[-2,4,1,3,-5]=>[3,-4,-1,2,5]
[-2,4,1,-3,5]=>[2,-4,-1,-5,3]
[-2,4,1,-3,-5]=>[2,-3,-1,-4,5]
[-2,4,-1,3,5]=>[1,-4,-5,-3,2]
[-2,4,-1,3,-5]=>[1,-3,-4,-2,5]
[-2,4,-1,-3,5]=>[-4,-2,-3,-5,1]
[-2,4,-1,-3,-5]=>[-3,-1,-2,-4,5]
[-2,-4,1,3,5]=>[-5,-3,-1,2,4]
[-2,-4,1,3,-5]=>[5,-3,-1,2,4]
[-2,-4,1,-3,5]=>[-5,-3,-1,-4,2]
[-2,-4,1,-3,-5]=>[3,5,-1,4,2]
[-2,-4,-1,3,5]=>[-5,-2,-3,-1,4]
[-2,-4,-1,3,-5]=>[5,-2,-3,-1,4]
[-2,-4,-1,-3,5]=>[-4,-2,-3,-5,-1]
[-2,-4,-1,-3,-5]=>[2,4,3,1,5]
[2,4,1,5,3]=>[3,1,-5,4,2]
[2,4,1,5,-3]=>[3,1,-2,4,-5]
[2,4,1,-5,3]=>[3,1,-4,5,2]
[2,4,1,-5,-3]=>[3,1,-2,5,-4]
[2,4,-1,5,3]=>[-4,2,-5,3,1]
[2,4,-1,5,-3]=>[-1,3,-2,4,-5]
[2,4,-1,-5,3]=>[-3,2,-4,5,1]
[2,4,-1,-5,-3]=>[-1,3,-2,5,-4]
[2,-4,1,5,3]=>[-5,1,-3,4,2]
[2,-4,1,5,-3]=>[-5,1,-2,3,-4]
[2,-4,1,-5,3]=>[5,1,-3,4,2]
[2,-4,1,-5,-3]=>[4,1,-2,3,5]
[2,-4,-1,5,3]=>[-2,-5,-3,4,1]
[2,-4,-1,5,-3]=>[-1,-5,-2,3,-4]
[2,-4,-1,-5,3]=>[-2,5,-3,4,1]
[2,-4,-1,-5,-3]=>[-1,4,-2,3,5]
[-2,4,1,5,3]=>[3,-5,-1,4,2]
[-2,4,1,5,-3]=>[2,-4,-1,3,-5]
[-2,4,1,-5,3]=>[3,-4,-1,5,2]
[-2,4,1,-5,-3]=>[2,-3,-1,5,-4]
[-2,4,-1,5,3]=>[2,-4,-5,1,-3]
[-2,4,-1,5,-3]=>[-4,-2,-3,1,-5]
[-2,4,-1,-5,3]=>[5,-3,-4,1,-2]
[-2,4,-1,-5,-3]=>[-3,-1,-2,5,-4]
[-2,-4,1,5,3]=>[-5,-3,-1,4,2]
[-2,-4,1,5,-3]=>[-5,-3,-1,2,-4]
[-2,-4,1,-5,3]=>[5,-3,-1,4,2]
[-2,-4,1,-5,-3]=>[3,5,-1,2,4]
[-2,-4,-1,5,3]=>[4,-3,-5,-2,-1]
[-2,-4,-1,5,-3]=>[-5,-2,-3,-1,-4]
[-2,-4,-1,-5,3]=>[4,-3,5,-2,-1]
[-2,-4,-1,-5,-3]=>[1,4,3,5,2]
[2,4,3,1,5]=>[3,2,1,-5,4]
[2,4,3,1,-5]=>[3,2,1,-4,5]
[2,4,3,-1,5]=>[-4,2,1,-5,3]
[2,4,3,-1,-5]=>[-3,2,1,-4,5]
[2,4,-3,1,5]=>[-5,1,3,-2,4]
[2,4,-3,1,-5]=>[-4,1,3,-2,5]
[2,4,-3,-1,5]=>[-1,3,-5,-2,4]
[2,4,-3,-1,-5]=>[-1,3,-4,-2,5]
[2,-4,3,1,5]=>[-5,2,1,-3,4]
[2,-4,3,1,-5]=>[5,2,1,-3,4]
[2,-4,3,-1,5]=>[-2,-5,1,-3,4]
[2,-4,3,-1,-5]=>[-2,5,1,-3,4]
[2,-4,-3,1,5]=>[-4,1,-5,-2,3]
[2,-4,-3,1,-5]=>[5,1,4,-2,3]
[2,-4,-3,-1,5]=>[-1,-5,-4,-2,3]
[2,-4,-3,-1,-5]=>[-1,4,5,-2,3]
[-2,4,3,1,5]=>[2,3,-5,-1,4]
[-2,4,3,1,-5]=>[2,3,-4,-1,5]
[-2,4,3,-1,5]=>[1,-5,-3,-4,2]
[-2,4,3,-1,-5]=>[1,-4,-2,-3,5]
[-2,4,-3,1,5]=>[-5,-4,2,-1,3]
[-2,4,-3,1,-5]=>[-4,-3,2,-1,5]
[-2,4,-3,-1,5]=>[-4,-2,-5,-3,1]
[-2,4,-3,-1,-5]=>[-3,-1,-4,-2,5]
[-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]=>[-5,-3,-1,-2,4]
[-2,-4,3,-1,-5]=>[5,-3,-1,-2,4]
[-2,-4,-3,1,5]=>[-4,-3,-5,-1,2]
[-2,-4,-3,1,-5]=>[4,5,3,-1,2]
[-2,-4,-3,-1,5]=>[-4,-2,-5,-3,-1]
[-2,-4,-3,-1,-5]=>[2,4,1,3,5]
[2,4,3,5,1]=>[4,2,1,3,-5]
[2,4,3,5,-1]=>[-4,2,1,3,-5]
[2,4,3,-5,1]=>[5,2,1,3,-4]
[2,4,3,-5,-1]=>[-3,2,1,5,-4]
[2,4,-3,5,1]=>[-5,1,4,3,-2]
[2,4,-3,5,-1]=>[-1,3,-5,4,-2]
[2,4,-3,-5,1]=>[-4,1,5,3,-2]
[2,4,-3,-5,-1]=>[-1,3,-4,5,-2]
[2,-4,3,5,1]=>[-5,4,1,2,-3]
[2,-4,3,5,-1]=>[-2,-5,1,4,-3]
[2,-4,3,-5,1]=>[5,4,1,2,-3]
[2,-4,3,-5,-1]=>[-2,5,1,4,-3]
[2,-4,-3,5,1]=>[-4,3,-5,1,-2]
[2,-4,-3,5,-1]=>[-1,-5,-4,3,-2]
[2,-4,-3,-5,1]=>[5,3,4,1,-2]
[2,-4,-3,-5,-1]=>[-1,4,5,3,-2]
[-2,4,3,5,1]=>[2,4,-5,3,-1]
[-2,4,3,5,-1]=>[1,-5,-3,2,-4]
[-2,4,3,-5,1]=>[2,5,-4,3,-1]
[-2,4,3,-5,-1]=>[1,-4,-2,5,-3]
[-2,4,-3,5,1]=>[-5,-4,3,2,-1]
[-2,4,-3,5,-1]=>[-4,-2,-5,1,-3]
[-2,4,-3,-5,1]=>[-4,-3,5,2,-1]
[-2,4,-3,-5,-1]=>[-3,-1,-4,5,-2]
[-2,-4,3,5,1]=>[4,-5,-3,2,-1]
[-2,-4,3,5,-1]=>[-5,-3,-1,4,-2]
[-2,-4,3,-5,1]=>[4,5,-3,2,-1]
[-2,-4,3,-5,-1]=>[5,-3,-1,4,-2]
[-2,-4,-3,5,1]=>[-5,-4,2,-3,-1]
[-2,-4,-3,5,-1]=>[-4,-3,-5,-1,-2]
[-2,-4,-3,-5,1]=>[3,4,2,5,-1]
[-2,-4,-3,-5,-1]=>[2,3,1,5,4]
[2,4,5,1,3]=>[4,1,3,-5,2]
[2,4,5,1,-3]=>[4,1,3,-2,-5]
[2,4,5,-1,3]=>[-4,2,3,-5,1]
[2,4,5,-1,-3]=>[-1,3,4,-2,-5]
[2,4,-5,1,3]=>[5,1,3,-4,2]
[2,4,-5,1,-3]=>[5,1,3,-2,-4]
[2,4,-5,-1,3]=>[-3,2,5,-4,1]
[2,4,-5,-1,-3]=>[-1,3,5,-2,-4]
[2,-4,5,1,3]=>[-5,4,1,-3,2]
[2,-4,5,1,-3]=>[-5,3,1,-2,-4]
[2,-4,5,-1,3]=>[-2,-5,4,-3,1]
[2,-4,5,-1,-3]=>[-1,-5,3,-2,-4]
[2,-4,-5,1,3]=>[5,4,1,-3,2]
[2,-4,-5,1,-3]=>[4,3,1,-2,5]
[2,-4,-5,-1,3]=>[-2,5,4,-3,1]
[2,-4,-5,-1,-3]=>[-1,4,3,-2,5]
[-2,4,5,1,3]=>[4,-5,3,-1,2]
[-2,4,5,1,-3]=>[3,-4,2,-1,-5]
[-2,4,5,-1,3]=>[2,-4,1,-5,-3]
[-2,4,5,-1,-3]=>[-4,-2,1,-3,-5]
[-2,4,-5,1,3]=>[5,-4,3,-1,2]
[-2,4,-5,1,-3]=>[5,-3,2,-1,-4]
[-2,4,-5,-1,3]=>[5,-3,1,-4,-2]
[-2,4,-5,-1,-3]=>[-3,-1,5,-2,-4]
[-2,-4,5,1,3]=>[4,-5,-3,-1,2]
[-2,-4,5,1,-3]=>[2,-5,-3,-1,-4]
[-2,-4,5,-1,3]=>[4,-5,-2,-3,-1]
[-2,-4,5,-1,-3]=>[-5,-3,-1,-2,-4]
[-2,-4,-5,1,3]=>[4,5,-3,-1,2]
[-2,-4,-5,1,-3]=>[2,3,5,-1,4]
[-2,-4,-5,-1,3]=>[4,5,-2,-3,-1]
[-2,-4,-5,-1,-3]=>[1,3,5,4,2]
[2,4,5,3,1]=>[4,2,3,1,-5]
[2,4,5,3,-1]=>[-4,2,3,1,-5]
[2,4,5,-3,1]=>[-5,1,3,4,-2]
[2,4,5,-3,-1]=>[-1,3,4,-5,-2]
[2,4,-5,3,1]=>[5,2,3,1,-4]
[2,4,-5,3,-1]=>[-3,2,5,1,-4]
[2,4,-5,-3,1]=>[-4,1,3,5,-2]
[2,4,-5,-3,-1]=>[-1,3,5,-4,-2]
[2,-4,5,3,1]=>[-5,4,2,1,-3]
[2,-4,5,3,-1]=>[-2,-5,4,1,-3]
[2,-4,5,-3,1]=>[-4,3,1,-5,-2]
[2,-4,5,-3,-1]=>[-1,-5,3,-4,-2]
[2,-4,-5,3,1]=>[5,4,2,1,-3]
[2,-4,-5,3,-1]=>[-2,5,4,1,-3]
[2,-4,-5,-3,1]=>[5,3,1,4,-2]
[2,-4,-5,-3,-1]=>[-1,4,3,5,-2]
[-2,4,5,3,1]=>[3,4,2,-5,-1]
[-2,4,5,3,-1]=>[2,-5,1,-3,-4]
[-2,4,5,-3,1]=>[-5,-4,2,3,-1]
[-2,4,5,-3,-1]=>[-4,-2,1,-5,-3]
[-2,4,-5,3,1]=>[3,5,2,-4,-1]
[-2,4,-5,3,-1]=>[5,-4,1,-2,-3]
[-2,4,-5,-3,1]=>[-4,-3,2,5,-1]
[-2,4,-5,-3,-1]=>[-3,-1,5,-4,-2]
[-2,-4,5,3,1]=>[2,4,-5,-3,-1]
[-2,-4,5,3,-1]=>[4,-5,-3,-1,-2]
[-2,-4,5,-3,1]=>[2,-4,-3,-5,-1]
[-2,-4,5,-3,-1]=>[-5,-3,-1,-4,-2]
[-2,-4,-5,3,1]=>[2,4,5,-3,-1]
[-2,-4,-5,3,-1]=>[4,5,-3,-1,-2]
[-2,-4,-5,-3,1]=>[2,4,5,3,-1]
[-2,-4,-5,-3,-1]=>[1,3,5,2,4]
[2,5,1,3,4]=>[4,1,-5,2,3]
[2,5,1,3,-4]=>[4,1,-3,2,-5]
[2,5,1,-3,4]=>[4,1,-2,-5,3]
[2,5,1,-3,-4]=>[3,1,-2,-4,-5]
[2,5,-1,3,4]=>[-4,3,-5,1,2]
[2,5,-1,3,-4]=>[-2,4,-3,1,-5]
[2,5,-1,-3,4]=>[-1,4,-2,-5,3]
[2,5,-1,-3,-4]=>[-1,3,-2,-4,-5]
[2,-5,1,3,4]=>[5,1,-4,2,3]
[2,-5,1,3,-4]=>[4,1,-3,2,5]
[2,-5,1,-3,4]=>[5,1,-2,-4,3]
[2,-5,1,-3,-4]=>[3,1,-2,5,4]
[2,-5,-1,3,4]=>[-3,5,-4,1,2]
[2,-5,-1,3,-4]=>[-2,4,-3,1,5]
[2,-5,-1,-3,4]=>[-1,5,-2,-4,3]
[2,-5,-1,-3,-4]=>[-1,3,-2,5,4]
[-2,5,1,3,4]=>[4,-5,-1,2,3]
[-2,5,1,3,-4]=>[4,-3,-1,2,-5]
[-2,5,1,-3,4]=>[3,-4,-1,-5,2]
[-2,5,1,-3,-4]=>[2,-3,-1,-4,-5]
[-2,5,-1,3,4]=>[2,-4,-5,-3,1]
[-2,5,-1,3,-4]=>[4,-2,-3,-1,-5]
[-2,5,-1,-3,4]=>[-5,-3,-4,1,-2]
[-2,5,-1,-3,-4]=>[-3,-1,-2,-4,-5]
[-2,-5,1,3,4]=>[5,-4,-1,2,3]
[-2,-5,1,3,-4]=>[4,-3,-1,2,5]
[-2,-5,1,-3,4]=>[5,-3,-1,-4,2]
[-2,-5,1,-3,-4]=>[2,5,-1,4,3]
[-2,-5,-1,3,4]=>[5,-3,-4,-2,1]
[-2,-5,-1,3,-4]=>[4,-2,-3,-1,5]
[-2,-5,-1,-3,4]=>[-4,-2,-3,5,-1]
[-2,-5,-1,-3,-4]=>[3,5,4,2,1]
[2,5,1,4,3]=>[4,1,-5,3,2]
[2,5,1,4,-3]=>[4,1,-2,3,-5]
[2,5,1,-4,3]=>[4,1,-3,-5,2]
[2,5,1,-4,-3]=>[3,1,-2,-5,-4]
[2,5,-1,4,3]=>[-4,3,-5,2,1]
[2,5,-1,4,-3]=>[-1,4,-2,3,-5]
[2,5,-1,-4,3]=>[-2,4,-3,-5,1]
[2,5,-1,-4,-3]=>[-1,3,-2,-5,-4]
[2,-5,1,4,3]=>[5,1,-4,3,2]
[2,-5,1,4,-3]=>[5,1,-2,3,-4]
[2,-5,1,-4,3]=>[4,1,-3,5,2]
[2,-5,1,-4,-3]=>[3,1,-2,4,5]
[2,-5,-1,4,3]=>[-3,5,-4,2,1]
[2,-5,-1,4,-3]=>[-1,5,-2,3,-4]
[2,-5,-1,-4,3]=>[-2,4,-3,5,1]
[2,-5,-1,-4,-3]=>[-1,3,-2,4,5]
[-2,5,1,4,3]=>[4,-5,-1,3,2]
[-2,5,1,4,-3]=>[3,-4,-1,2,-5]
[-2,5,1,-4,3]=>[4,-3,-1,-5,2]
[-2,5,1,-4,-3]=>[2,-3,-1,-5,-4]
[-2,5,-1,4,3]=>[1,-5,2,-4,-3]
[-2,5,-1,4,-3]=>[1,-3,-4,-2,-5]
[-2,5,-1,-4,3]=>[-5,-2,-3,4,-1]
[-2,5,-1,-4,-3]=>[-3,-1,-2,-5,-4]
[-2,-5,1,4,3]=>[5,-4,-1,3,2]
[-2,-5,1,4,-3]=>[5,-3,-1,2,-4]
[-2,-5,1,-4,3]=>[4,-3,-1,5,2]
[-2,-5,1,-4,-3]=>[2,5,-1,3,4]
[-2,-5,-1,4,3]=>[1,-4,5,-3,-2]
[-2,-5,-1,4,-3]=>[5,-2,-3,-1,-4]
[-2,-5,-1,-4,3]=>[5,-2,-3,4,-1]
[-2,-5,-1,-4,-3]=>[3,5,4,1,2]
[2,5,3,1,4]=>[4,2,1,-5,3]
[2,5,3,1,-4]=>[4,2,1,-3,-5]
[2,5,3,-1,4]=>[-4,3,1,-5,2]
[2,5,3,-1,-4]=>[-2,4,1,-3,-5]
[2,5,-3,1,4]=>[-5,1,4,-2,3]
[2,5,-3,1,-4]=>[-4,1,3,-2,-5]
[2,5,-3,-1,4]=>[-1,4,-5,-2,3]
[2,5,-3,-1,-4]=>[-1,3,-4,-2,-5]
[2,-5,3,1,4]=>[5,2,1,-4,3]
[2,-5,3,1,-4]=>[4,2,1,-3,5]
[2,-5,3,-1,4]=>[-3,5,1,-4,2]
[2,-5,3,-1,-4]=>[-2,4,1,-3,5]
[2,-5,-3,1,4]=>[-4,1,5,-2,3]
[2,-5,-3,1,-4]=>[5,1,3,-2,4]
[2,-5,-3,-1,4]=>[-1,5,-4,-2,3]
[2,-5,-3,-1,-4]=>[-1,3,5,-2,4]
[-2,5,3,1,4]=>[2,4,-5,-1,3]
[-2,5,3,1,-4]=>[2,4,-3,-1,-5]
[-2,5,3,-1,4]=>[2,-5,-3,-4,1]
[-2,5,3,-1,-4]=>[4,-3,-1,-2,-5]
[-2,5,-3,1,4]=>[-5,-4,3,-1,2]
[-2,5,-3,1,-4]=>[-4,-3,2,-1,-5]
[-2,5,-3,-1,4]=>[-5,-3,1,-4,-2]
[-2,5,-3,-1,-4]=>[-3,-1,-4,-2,-5]
[-2,-5,3,1,4]=>[2,5,-4,-1,3]
[-2,-5,3,1,-4]=>[2,4,-3,-1,5]
[-2,-5,3,-1,4]=>[5,-4,-2,-3,1]
[-2,-5,3,-1,-4]=>[4,-3,-1,-2,5]
[-2,-5,-3,1,4]=>[-4,-3,5,-1,2]
[-2,-5,-3,1,-4]=>[4,5,2,-1,3]
[-2,-5,-3,-1,4]=>[-4,-2,5,-3,-1]
[-2,-5,-3,-1,-4]=>[3,5,2,4,1]
[2,5,3,4,1]=>[4,3,1,2,-5]
[2,5,3,4,-1]=>[-4,3,1,2,-5]
[2,5,3,-4,1]=>[-5,2,1,4,-3]
[2,5,3,-4,-1]=>[-2,4,1,-5,-3]
[2,5,-3,4,1]=>[-5,3,4,1,-2]
[2,5,-3,4,-1]=>[-1,4,-5,3,-2]
[2,5,-3,-4,1]=>[-4,1,-5,3,-2]
[2,5,-3,-4,-1]=>[-1,3,-4,-5,-2]
[2,-5,3,4,1]=>[5,3,1,2,-4]
[2,-5,3,4,-1]=>[-3,5,1,2,-4]
[2,-5,3,-4,1]=>[5,2,1,4,-3]
[2,-5,3,-4,-1]=>[-2,4,1,5,-3]
[2,-5,-3,4,1]=>[-4,3,5,1,-2]
[2,-5,-3,4,-1]=>[-1,5,-4,3,-2]
[2,-5,-3,-4,1]=>[5,1,4,3,-2]
[2,-5,-3,-4,-1]=>[-1,3,5,4,-2]
[-2,5,3,4,1]=>[3,4,-5,2,-1]
[-2,5,3,4,-1]=>[2,-5,-3,1,-4]
[-2,5,3,-4,1]=>[2,-5,-3,4,-1]
[-2,5,3,-4,-1]=>[4,-3,-1,-5,-2]
[-2,5,-3,4,1]=>[3,-5,2,-4,-1]
[-2,5,-3,4,-1]=>[-5,-4,1,-2,-3]
[-2,5,-3,-4,1]=>[-4,-3,-5,2,-1]
[-2,5,-3,-4,-1]=>[-3,-1,-4,-5,-2]
[-2,-5,3,4,1]=>[3,5,-4,2,-1]
[-2,-5,3,4,-1]=>[5,-4,-2,1,-3]
[-2,-5,3,-4,1]=>[2,5,-3,4,-1]
[-2,-5,3,-4,-1]=>[4,-3,-1,5,-2]
[-2,-5,-3,4,1]=>[5,-4,2,-3,-1]
[-2,-5,-3,4,-1]=>[-4,-3,5,-1,-2]
[-2,-5,-3,-4,1]=>[4,5,3,2,-1]
[-2,-5,-3,-4,-1]=>[3,5,2,1,4]
[2,5,4,1,3]=>[4,3,1,-5,2]
[2,5,4,1,-3]=>[4,3,1,-2,-5]
[2,5,4,-1,3]=>[-4,3,2,-5,1]
[2,5,4,-1,-3]=>[-1,4,3,-2,-5]
[2,5,-4,1,3]=>[-5,1,4,-3,2]
[2,5,-4,1,-3]=>[-5,1,3,-2,-4]
[2,5,-4,-1,3]=>[-2,4,-5,-3,1]
[2,5,-4,-1,-3]=>[-1,3,-5,-2,-4]
[2,-5,4,1,3]=>[5,3,1,-4,2]
[2,-5,4,1,-3]=>[5,3,1,-2,-4]
[2,-5,4,-1,3]=>[-3,5,2,-4,1]
[2,-5,4,-1,-3]=>[-1,5,3,-2,-4]
[2,-5,-4,1,3]=>[5,1,4,-3,2]
[2,-5,-4,1,-3]=>[4,1,3,-2,5]
[2,-5,-4,-1,3]=>[-2,4,5,-3,1]
[2,-5,-4,-1,-3]=>[-1,3,4,-2,5]
[-2,5,4,1,3]=>[3,4,-5,-1,2]
[-2,5,4,1,-3]=>[2,3,-4,-1,-5]
[-2,5,4,-1,3]=>[1,2,-4,-5,-3]
[-2,5,4,-1,-3]=>[1,-4,-2,-3,-5]
[-2,5,-4,1,3]=>[-5,-3,4,-1,2]
[-2,5,-4,1,-3]=>[-5,-3,2,-1,-4]
[-2,5,-4,-1,3]=>[-5,-2,4,-3,-1]
[-2,5,-4,-1,-3]=>[-3,-1,-5,-2,-4]
[-2,-5,4,1,3]=>[3,5,-4,-1,2]
[-2,-5,4,1,-3]=>[2,5,-3,-1,-4]
[-2,-5,4,-1,3]=>[1,5,-3,-4,-2]
[-2,-5,4,-1,-3]=>[5,-3,-1,-2,-4]
[-2,-5,-4,1,3]=>[5,-3,4,-1,2]
[-2,-5,-4,1,-3]=>[3,5,2,-1,4]
[-2,-5,-4,-1,3]=>[5,-2,4,-3,-1]
[-2,-5,-4,-1,-3]=>[3,5,1,4,2]
[2,5,4,3,1]=>[4,3,2,1,-5]
[2,5,4,3,-1]=>[-4,3,2,1,-5]
[2,5,4,-3,1]=>[-5,3,1,4,-2]
[2,5,4,-3,-1]=>[-1,4,3,-5,-2]
[2,5,-4,3,1]=>[-5,2,4,1,-3]
[2,5,-4,3,-1]=>[-2,4,-5,1,-3]
[2,5,-4,-3,1]=>[-4,1,3,-5,-2]
[2,5,-4,-3,-1]=>[-1,3,-5,-4,-2]
[2,-5,4,3,1]=>[5,3,2,1,-4]
[2,-5,4,3,-1]=>[-3,5,2,1,-4]
[2,-5,4,-3,1]=>[-4,3,1,5,-2]
[2,-5,4,-3,-1]=>[-1,5,3,-4,-2]
[2,-5,-4,3,1]=>[5,2,4,1,-3]
[2,-5,-4,3,-1]=>[-2,4,5,1,-3]
[2,-5,-4,-3,1]=>[5,1,3,4,-2]
[2,-5,-4,-3,-1]=>[-1,3,4,5,-2]
[-2,5,4,3,1]=>[2,3,4,-5,-1]
[-2,5,4,3,-1]=>[1,2,-5,-3,-4]
[-2,5,4,-3,1]=>[2,-5,-4,3,-1]
[-2,5,4,-3,-1]=>[1,-4,-2,-5,-3]
[-2,5,-4,3,1]=>[4,-5,2,-3,-1]
[-2,5,-4,3,-1]=>[-5,-3,4,-1,-2]
[-2,5,-4,-3,1]=>[-4,-3,2,-5,-1]
[-2,5,-4,-3,-1]=>[-3,-1,-5,-4,-2]
[-2,-5,4,3,1]=>[2,3,5,-4,-1]
[-2,-5,4,3,-1]=>[1,5,-4,-2,-3]
[-2,-5,4,-3,1]=>[2,-4,-3,5,-1]
[-2,-5,4,-3,-1]=>[5,-3,-1,-4,-2]
[-2,-5,-4,3,1]=>[4,5,2,-3,-1]
[-2,-5,-4,3,-1]=>[5,-3,4,-1,-2]
[-2,-5,-4,-3,1]=>[4,5,2,3,-1]
[-2,-5,-4,-3,-1]=>[3,5,1,2,4]
[3,1,2,4,5]=>[2,-5,1,3,4]
[3,1,2,4,-5]=>[2,-4,1,3,5]
[3,1,2,-4,5]=>[2,-3,1,-5,4]
[3,1,2,-4,-5]=>[2,-3,1,5,4]
[3,1,-2,4,5]=>[2,-1,-5,3,4]
[3,1,-2,4,-5]=>[2,-1,-4,3,5]
[3,1,-2,-4,5]=>[2,-1,-3,-5,4]
[3,1,-2,-4,-5]=>[2,-1,-3,5,4]
[3,-1,2,4,5]=>[-5,1,-4,2,3]
[3,-1,2,4,-5]=>[-4,1,-3,2,5]
[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,-4,-5,1,2]
[3,-1,-2,4,-5]=>[-2,-3,-4,1,5]
[3,-1,-2,-4,5]=>[-1,-2,-3,-5,4]
[3,-1,-2,-4,-5]=>[-1,-2,-3,5,4]
[-3,1,2,4,5]=>[-5,-2,1,3,4]
[-3,1,2,4,-5]=>[-4,-2,1,3,5]
[-3,1,2,-4,5]=>[-4,-2,1,-5,3]
[-3,1,2,-4,-5]=>[5,-2,1,4,3]
[-3,1,-2,4,5]=>[-5,-1,-4,2,3]
[-3,1,-2,4,-5]=>[-4,-1,-3,2,5]
[-3,1,-2,-4,5]=>[-4,-1,-3,-5,2]
[-3,1,-2,-4,-5]=>[4,-1,5,3,2]
[-3,-1,2,4,5]=>[-2,-5,-1,3,4]
[-3,-1,2,4,-5]=>[-2,-4,-1,3,5]
[-3,-1,2,-4,5]=>[-2,-4,-1,-5,3]
[-3,-1,2,-4,-5]=>[-2,5,-1,4,3]
[-3,-1,-2,4,5]=>[-3,-4,-5,-2,1]
[-3,-1,-2,4,-5]=>[-2,-3,-4,-1,5]
[-3,-1,-2,-4,5]=>[-3,-4,-5,-2,-1]
[-3,-1,-2,-4,-5]=>[3,2,1,4,5]
[3,1,2,5,4]=>[2,-5,1,4,3]
[3,1,2,5,-4]=>[2,-3,1,4,-5]
[3,1,2,-5,4]=>[2,-4,1,5,3]
[3,1,2,-5,-4]=>[2,-3,1,4,5]
[3,1,-2,5,4]=>[2,-1,-5,4,3]
[3,1,-2,5,-4]=>[2,-1,-3,4,-5]
[3,1,-2,-5,4]=>[2,-1,-4,5,3]
[3,1,-2,-5,-4]=>[2,-1,-3,4,5]
[3,-1,2,5,4]=>[-5,1,-4,3,2]
[3,-1,2,5,-4]=>[-3,1,-2,4,-5]
[3,-1,2,-5,4]=>[-4,1,-3,5,2]
[3,-1,2,-5,-4]=>[-3,1,-2,4,5]
[3,-1,-2,5,4]=>[-3,-4,-5,2,1]
[3,-1,-2,5,-4]=>[-1,-2,-3,4,-5]
[3,-1,-2,-5,4]=>[-2,-3,-4,5,1]
[3,-1,-2,-5,-4]=>[-1,-2,-3,4,5]
[-3,1,2,5,4]=>[-5,-2,1,4,3]
[-3,1,2,5,-4]=>[-4,-2,1,3,-5]
[-3,1,2,-5,4]=>[-4,-2,1,5,3]
[-3,1,2,-5,-4]=>[5,-2,1,3,4]
[-3,1,-2,5,4]=>[-5,-1,-4,3,2]
[-3,1,-2,5,-4]=>[-4,-1,-3,2,-5]
[-3,1,-2,-5,4]=>[-4,-1,-3,5,2]
[-3,1,-2,-5,-4]=>[4,-1,5,2,3]
[-3,-1,2,5,4]=>[-2,-5,-1,4,3]
[-3,-1,2,5,-4]=>[-2,-4,-1,3,-5]
[-3,-1,2,-5,4]=>[-2,-4,-1,5,3]
[-3,-1,2,-5,-4]=>[-2,5,-1,3,4]
[-3,-1,-2,5,4]=>[-4,-5,1,-3,-2]
[-3,-1,-2,5,-4]=>[-2,-3,-4,-1,-5]
[-3,-1,-2,-5,4]=>[-3,-4,5,-2,-1]
[-3,-1,-2,-5,-4]=>[4,3,2,5,1]
[3,1,4,2,5]=>[2,-5,3,1,4]
[3,1,4,2,-5]=>[2,-4,3,1,5]
[3,1,4,-2,5]=>[2,-1,3,-5,4]
[3,1,4,-2,-5]=>[2,-1,3,-4,5]
[3,1,-4,2,5]=>[2,-3,-5,1,4]
[3,1,-4,2,-5]=>[2,-3,5,1,4]
[3,1,-4,-2,5]=>[2,-1,-5,-3,4]
[3,1,-4,-2,-5]=>[2,-1,5,-3,4]
[3,-1,4,2,5]=>[-5,2,1,-4,3]
[3,-1,4,2,-5]=>[-4,2,1,-3,5]
[3,-1,4,-2,5]=>[-3,-4,1,-5,2]
[3,-1,4,-2,-5]=>[-2,-3,1,-4,5]
[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]=>[-1,-2,-5,-3,4]
[3,-1,-4,-2,-5]=>[-1,-2,5,-3,4]
[-3,1,4,2,5]=>[-5,-2,3,1,4]
[-3,1,4,2,-5]=>[-4,-2,3,1,5]
[-3,1,4,-2,5]=>[-5,-1,2,-4,3]
[-3,1,4,-2,-5]=>[-4,-1,2,-3,5]
[-3,1,-4,2,5]=>[-4,-2,-5,1,3]
[-3,1,-4,2,-5]=>[5,-2,4,1,3]
[-3,1,-4,-2,5]=>[-4,-1,-5,-3,2]
[-3,1,-4,-2,-5]=>[4,-1,3,5,2]
[-3,-1,4,2,5]=>[-5,3,-2,-1,4]
[-3,-1,4,2,-5]=>[-4,3,-2,-1,5]
[-3,-1,4,-2,5]=>[-3,-5,-2,-4,1]
[-3,-1,4,-2,-5]=>[-2,-4,-1,-3,5]
[-3,-1,-4,2,5]=>[-4,-5,-2,-1,3]
[-3,-1,-4,2,-5]=>[5,4,-2,-1,3]
[-3,-1,-4,-2,5]=>[-3,-5,-2,-4,-1]
[-3,-1,-4,-2,-5]=>[3,1,4,2,5]
[3,1,4,5,2]=>[2,-5,3,4,1]
[3,1,4,5,-2]=>[2,-1,3,4,-5]
[3,1,4,-5,2]=>[2,-4,3,5,1]
[3,1,4,-5,-2]=>[2,-1,3,5,-4]
[3,1,-4,5,2]=>[2,-3,-5,4,1]
[3,1,-4,5,-2]=>[2,-1,-5,4,-3]
[3,1,-4,-5,2]=>[2,-3,5,4,1]
[3,1,-4,-5,-2]=>[2,-1,5,4,-3]
[3,-1,4,5,2]=>[-5,3,1,2,-4]
[3,-1,4,5,-2]=>[-3,-4,1,2,-5]
[3,-1,4,-5,2]=>[-4,5,1,2,-3]
[3,-1,4,-5,-2]=>[-2,-3,1,5,-4]
[3,-1,-4,5,2]=>[-3,-5,4,1,-2]
[3,-1,-4,5,-2]=>[-1,-2,-5,4,-3]
[3,-1,-4,-5,2]=>[-3,5,4,1,-2]
[3,-1,-4,-5,-2]=>[-1,-2,5,4,-3]
[-3,1,4,5,2]=>[-5,-2,3,4,1]
[-3,1,4,5,-2]=>[-5,-1,2,3,-4]
[-3,1,4,-5,2]=>[-4,-2,3,5,1]
[-3,1,4,-5,-2]=>[-4,-1,2,5,-3]
[-3,1,-4,5,2]=>[-4,-2,-5,3,1]
[-3,1,-4,5,-2]=>[-4,-1,-5,2,-3]
[-3,1,-4,-5,2]=>[5,-2,4,3,1]
[-3,1,-4,-5,-2]=>[4,-1,3,2,5]
[-3,-1,4,5,2]=>[-5,4,-2,3,-1]
[-3,-1,4,5,-2]=>[-3,-5,-2,1,-4]
[-3,-1,4,-5,2]=>[-4,5,-2,3,-1]
[-3,-1,4,-5,-2]=>[-2,-4,-1,5,-3]
[-3,-1,-4,5,2]=>[-5,3,-4,-2,-1]
[-3,-1,-4,5,-2]=>[-4,-5,-2,-1,-3]
[-3,-1,-4,-5,2]=>[4,3,5,-2,-1]
[-3,-1,-4,-5,-2]=>[2,1,4,5,3]
[3,1,5,2,4]=>[2,-5,4,1,3]
[3,1,5,2,-4]=>[2,-3,4,1,-5]
[3,1,5,-2,4]=>[2,-1,4,-5,3]
[3,1,5,-2,-4]=>[2,-1,4,-3,-5]
[3,1,-5,2,4]=>[2,-4,5,1,3]
[3,1,-5,2,-4]=>[2,-3,4,1,5]
[3,1,-5,-2,4]=>[2,-1,5,-4,3]
[3,1,-5,-2,-4]=>[2,-1,4,-3,5]
[3,-1,5,2,4]=>[-5,3,1,-4,2]
[3,-1,5,2,-4]=>[-3,4,1,-2,-5]
[3,-1,5,-2,4]=>[-3,-4,2,-5,1]
[3,-1,5,-2,-4]=>[-1,-2,4,-3,-5]
[3,-1,-5,2,4]=>[-4,5,1,-3,2]
[3,-1,-5,2,-4]=>[-3,4,1,-2,5]
[3,-1,-5,-2,4]=>[-2,-3,5,-4,1]
[3,-1,-5,-2,-4]=>[-1,-2,4,-3,5]
[-3,1,5,2,4]=>[-5,-2,4,1,3]
[-3,1,5,2,-4]=>[-4,-2,3,1,-5]
[-3,1,5,-2,4]=>[-5,-1,3,-4,2]
[-3,1,5,-2,-4]=>[-4,-1,2,-3,-5]
[-3,1,-5,2,4]=>[-4,-2,5,1,3]
[-3,1,-5,2,-4]=>[5,-2,3,1,4]
[-3,1,-5,-2,4]=>[-4,-1,5,-3,2]
[-3,1,-5,-2,-4]=>[4,-1,2,5,3]
[-3,-1,5,2,4]=>[-5,4,-2,-1,3]
[-3,-1,5,2,-4]=>[-4,3,-2,-1,-5]
[-3,-1,5,-2,4]=>[-4,1,-3,-5,-2]
[-3,-1,5,-2,-4]=>[-2,-4,-1,-3,-5]
[-3,-1,-5,2,4]=>[-4,5,-2,-1,3]
[-3,-1,-5,2,-4]=>[5,3,-2,-1,4]
[-3,-1,-5,-2,4]=>[-3,5,-2,-4,-1]
[-3,-1,-5,-2,-4]=>[4,2,5,3,1]
[3,1,5,4,2]=>[2,-5,4,3,1]
[3,1,5,4,-2]=>[2,-1,4,3,-5]
[3,1,5,-4,2]=>[2,-3,4,-5,1]
[3,1,5,-4,-2]=>[2,-1,4,-5,-3]
[3,1,-5,4,2]=>[2,-4,5,3,1]
[3,1,-5,4,-2]=>[2,-1,5,3,-4]
[3,1,-5,-4,2]=>[2,-3,4,5,1]
[3,1,-5,-4,-2]=>[2,-1,4,5,-3]
[3,-1,5,4,2]=>[-5,3,2,1,-4]
[3,-1,5,4,-2]=>[-3,-4,2,1,-5]
[3,-1,5,-4,2]=>[-3,-5,1,4,-2]
[3,-1,5,-4,-2]=>[-1,-2,4,-5,-3]
[3,-1,-5,4,2]=>[-4,5,2,1,-3]
[3,-1,-5,4,-2]=>[-2,-3,5,1,-4]
[3,-1,-5,-4,2]=>[-3,5,1,4,-2]
[3,-1,-5,-4,-2]=>[-1,-2,4,5,-3]
[-3,1,5,4,2]=>[-5,-2,4,3,1]
[-3,1,5,4,-2]=>[-5,-1,3,2,-4]
[-3,1,5,-4,2]=>[-4,-2,3,-5,1]
[-3,1,5,-4,-2]=>[-4,-1,2,-5,-3]
[-3,1,-5,4,2]=>[-4,-2,5,3,1]
[-3,1,-5,4,-2]=>[-4,-1,5,2,-3]
[-3,1,-5,-4,2]=>[5,-2,3,4,1]
[-3,1,-5,-4,-2]=>[4,-1,2,3,5]
[-3,-1,5,4,2]=>[4,3,-5,-2,-1]
[-3,-1,5,4,-2]=>[-5,1,-3,-2,-4]
[-3,-1,5,-4,2]=>[-4,-5,-2,3,-1]
[-3,-1,5,-4,-2]=>[-2,-4,-1,-5,-3]
[-3,-1,-5,4,2]=>[5,3,-4,-2,-1]
[-3,-1,-5,4,-2]=>[-4,5,-2,-1,-3]
[-3,-1,-5,-4,2]=>[5,4,-2,3,-1]
[-3,-1,-5,-4,-2]=>[4,2,5,1,3]
[3,2,1,4,5]=>[1,2,-5,3,4]
[3,2,1,4,-5]=>[1,2,-4,3,5]
[3,2,1,-4,5]=>[1,2,-3,-5,4]
[3,2,1,-4,-5]=>[1,2,-3,5,4]
[3,2,-1,4,5]=>[1,-4,-5,2,3]
[3,2,-1,4,-5]=>[1,-3,-4,2,5]
[3,2,-1,-4,5]=>[1,-2,-3,-5,4]
[3,2,-1,-4,-5]=>[1,-2,-3,5,4]
[3,-2,1,4,5]=>[-5,2,-1,3,4]
[3,-2,1,4,-5]=>[-4,2,-1,3,5]
[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,-5,-4,1,2]
[3,-2,-1,4,-5]=>[-2,-4,-3,1,5]
[3,-2,-1,-4,5]=>[-1,-3,-2,-5,4]
[3,-2,-1,-4,-5]=>[-1,-3,-2,5,4]
[-3,2,1,4,5]=>[1,-5,-2,3,4]
[-3,2,1,4,-5]=>[1,-4,-2,3,5]
[-3,2,1,-4,5]=>[1,-4,-2,-5,3]
[-3,2,1,-4,-5]=>[1,5,-2,4,3]
[-3,2,-1,4,5]=>[-5,-1,-2,3,4]
[-3,2,-1,4,-5]=>[-4,-1,-2,3,5]
[-3,2,-1,-4,5]=>[-4,-1,-2,-5,3]
[-3,2,-1,-4,-5]=>[5,-1,-2,4,3]
[-3,-2,1,4,5]=>[-4,-5,-1,2,3]
[-3,-2,1,4,-5]=>[-3,-4,-1,2,5]
[-3,-2,1,-4,5]=>[-3,-4,-1,-5,2]
[-3,-2,1,-4,-5]=>[5,4,-1,3,2]
[-3,-2,-1,4,5]=>[-3,-5,-4,-2,1]
[-3,-2,-1,4,-5]=>[-2,-4,-3,-1,5]
[-3,-2,-1,-4,5]=>[-3,-5,-4,-2,-1]
[-3,-2,-1,-4,-5]=>[3,1,2,4,5]
[3,2,1,5,4]=>[1,2,-5,4,3]
[3,2,1,5,-4]=>[1,2,-3,4,-5]
[3,2,1,-5,4]=>[1,2,-4,5,3]
[3,2,1,-5,-4]=>[1,2,-3,4,5]
[3,2,-1,5,4]=>[1,-4,-5,3,2]
[3,2,-1,5,-4]=>[1,-2,-3,4,-5]
[3,2,-1,-5,4]=>[1,-3,-4,5,2]
[3,2,-1,-5,-4]=>[1,-2,-3,4,5]
[3,-2,1,5,4]=>[-5,2,-1,4,3]
[3,-2,1,5,-4]=>[-3,2,-1,4,-5]
[3,-2,1,-5,4]=>[-4,2,-1,5,3]
[3,-2,1,-5,-4]=>[-3,2,-1,4,5]
[3,-2,-1,5,4]=>[-3,-5,-4,2,1]
[3,-2,-1,5,-4]=>[-1,-3,-2,4,-5]
[3,-2,-1,-5,4]=>[-2,-4,-3,5,1]
[3,-2,-1,-5,-4]=>[-1,-3,-2,4,5]
[-3,2,1,5,4]=>[1,-5,-2,4,3]
[-3,2,1,5,-4]=>[1,-4,-2,3,-5]
[-3,2,1,-5,4]=>[1,-4,-2,5,3]
[-3,2,1,-5,-4]=>[1,5,-2,3,4]
[-3,2,-1,5,4]=>[-5,-1,-2,4,3]
[-3,2,-1,5,-4]=>[-4,-1,-2,3,-5]
[-3,2,-1,-5,4]=>[-4,-1,-2,5,3]
[-3,2,-1,-5,-4]=>[5,-1,-2,3,4]
[-3,-2,1,5,4]=>[-4,-5,-1,3,2]
[-3,-2,1,5,-4]=>[-3,-4,-1,2,-5]
[-3,-2,1,-5,4]=>[-3,-4,-1,5,2]
[-3,-2,1,-5,-4]=>[5,4,-1,2,3]
[-3,-2,-1,5,4]=>[-4,1,-5,-3,-2]
[-3,-2,-1,5,-4]=>[-2,-4,-3,-1,-5]
[-3,-2,-1,-5,4]=>[-3,5,-4,-2,-1]
[-3,-2,-1,-5,-4]=>[4,2,3,5,1]
[3,2,4,1,5]=>[1,3,2,-5,4]
[3,2,4,1,-5]=>[1,3,2,-4,5]
[3,2,4,-1,5]=>[1,-4,2,-5,3]
[3,2,4,-1,-5]=>[1,-3,2,-4,5]
[3,2,-4,1,5]=>[1,-5,2,-3,4]
[3,2,-4,1,-5]=>[1,5,2,-3,4]
[3,2,-4,-1,5]=>[1,-2,-5,-3,4]
[3,2,-4,-1,-5]=>[1,-2,5,-3,4]
[3,-2,4,1,5]=>[-5,3,2,-1,4]
[3,-2,4,1,-5]=>[-4,3,2,-1,5]
[3,-2,4,-1,5]=>[-3,-5,1,-4,2]
[3,-2,4,-1,-5]=>[-2,-4,1,-3,5]
[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]=>[-1,-3,-5,-2,4]
[3,-2,-4,-1,-5]=>[-1,-3,5,-2,4]
[-3,2,4,1,5]=>[3,-5,1,-2,4]
[-3,2,4,1,-5]=>[3,-4,1,-2,5]
[-3,2,4,-1,5]=>[-5,-1,3,-2,4]
[-3,2,4,-1,-5]=>[-4,-1,3,-2,5]
[-3,2,-4,1,5]=>[-5,-4,1,-2,3]
[-3,2,-4,1,-5]=>[4,5,1,-2,3]
[-3,2,-4,-1,5]=>[-4,-1,-5,-2,3]
[-3,2,-4,-1,-5]=>[5,-1,4,-2,3]
[-3,-2,4,1,5]=>[-5,2,-4,-1,3]
[-3,-2,4,1,-5]=>[-4,2,-3,-1,5]
[-3,-2,4,-1,5]=>[-4,-5,-2,-3,1]
[-3,-2,4,-1,-5]=>[-3,-4,-1,-2,5]
[-3,-2,-4,1,5]=>[-4,-5,-3,-1,2]
[-3,-2,-4,1,-5]=>[4,3,5,-1,2]
[-3,-2,-4,-1,5]=>[-4,-5,-2,-3,-1]
[-3,-2,-4,-1,-5]=>[2,1,4,3,5]
[3,2,4,5,1]=>[1,4,2,3,-5]
[3,2,4,5,-1]=>[1,-4,2,3,-5]
[3,2,4,-5,1]=>[1,5,2,3,-4]
[3,2,4,-5,-1]=>[1,-3,2,5,-4]
[3,2,-4,5,1]=>[1,-5,4,2,-3]
[3,2,-4,5,-1]=>[1,-2,-5,4,-3]
[3,2,-4,-5,1]=>[1,5,4,2,-3]
[3,2,-4,-5,-1]=>[1,-2,5,4,-3]
[3,-2,4,5,1]=>[-5,4,2,3,-1]
[3,-2,4,5,-1]=>[-3,-5,1,2,-4]
[3,-2,4,-5,1]=>[-4,5,2,3,-1]
[3,-2,4,-5,-1]=>[-2,-4,1,5,-3]
[3,-2,-4,5,1]=>[-3,-5,4,2,-1]
[3,-2,-4,5,-1]=>[-1,-3,-5,4,-2]
[3,-2,-4,-5,1]=>[-3,5,4,2,-1]
[3,-2,-4,-5,-1]=>[-1,-3,5,4,-2]
[-3,2,4,5,1]=>[4,-5,1,3,-2]
[-3,2,4,5,-1]=>[-5,-1,3,4,-2]
[-3,2,4,-5,1]=>[5,-4,1,3,-2]
[-3,2,4,-5,-1]=>[-4,-1,3,5,-2]
[-3,2,-4,5,1]=>[-5,-4,3,1,-2]
[-3,2,-4,5,-1]=>[-4,-1,-5,3,-2]
[-3,2,-4,-5,1]=>[4,5,3,1,-2]
[-3,2,-4,-5,-1]=>[5,-1,4,3,-2]
[-3,-2,4,5,1]=>[-5,3,-4,2,-1]
[-3,-2,4,5,-1]=>[-4,-5,-2,1,-3]
[-3,-2,4,-5,1]=>[-4,5,-3,2,-1]
[-3,-2,4,-5,-1]=>[-3,-4,-1,5,-2]
[-3,-2,-4,5,1]=>[-5,2,-4,-3,-1]
[-3,-2,-4,5,-1]=>[-4,-5,-3,-1,-2]
[-3,-2,-4,-5,1]=>[3,2,4,5,-1]
[-3,-2,-4,-5,-1]=>[2,1,3,5,4]
[3,2,5,1,4]=>[1,4,2,-5,3]
[3,2,5,1,-4]=>[1,4,2,-3,-5]
[3,2,5,-1,4]=>[1,-4,3,-5,2]
[3,2,5,-1,-4]=>[1,-2,4,-3,-5]
[3,2,-5,1,4]=>[1,5,2,-4,3]
[3,2,-5,1,-4]=>[1,4,2,-3,5]
[3,2,-5,-1,4]=>[1,-3,5,-4,2]
[3,2,-5,-1,-4]=>[1,-2,4,-3,5]
[3,-2,5,1,4]=>[-5,4,2,-1,3]
[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]=>[-1,-3,4,-2,-5]
[3,-2,-5,1,4]=>[-4,5,2,-1,3]
[3,-2,-5,1,-4]=>[-3,4,2,-1,5]
[3,-2,-5,-1,4]=>[-2,-4,5,-3,1]
[3,-2,-5,-1,-4]=>[-1,-3,4,-2,5]
[-3,2,5,1,4]=>[4,-5,1,-2,3]
[-3,2,5,1,-4]=>[3,-4,1,-2,-5]
[-3,2,5,-1,4]=>[-5,-1,4,-2,3]
[-3,2,5,-1,-4]=>[-4,-1,3,-2,-5]
[-3,2,-5,1,4]=>[5,-4,1,-2,3]
[-3,2,-5,1,-4]=>[3,5,1,-2,4]
[-3,2,-5,-1,4]=>[-4,-1,5,-2,3]
[-3,2,-5,-1,-4]=>[5,-1,3,-2,4]
[-3,-2,5,1,4]=>[-5,3,-4,-1,2]
[-3,-2,5,1,-4]=>[-4,2,-3,-1,-5]
[-3,-2,5,-1,4]=>[-5,1,-3,-4,-2]
[-3,-2,5,-1,-4]=>[-3,-4,-1,-2,-5]
[-3,-2,-5,1,4]=>[-4,5,-3,-1,2]
[-3,-2,-5,1,-4]=>[4,2,5,-1,3]
[-3,-2,-5,-1,4]=>[-4,5,-2,-3,-1]
[-3,-2,-5,-1,-4]=>[3,2,5,4,1]
[3,2,5,4,1]=>[1,4,3,2,-5]
[3,2,5,4,-1]=>[1,-4,3,2,-5]
[3,2,5,-4,1]=>[1,-5,2,4,-3]
[3,2,5,-4,-1]=>[1,-2,4,-5,-3]
[3,2,-5,4,1]=>[1,5,3,2,-4]
[3,2,-5,4,-1]=>[1,-3,5,2,-4]
[3,2,-5,-4,1]=>[1,5,2,4,-3]
[3,2,-5,-4,-1]=>[1,-2,4,5,-3]
[3,-2,5,4,1]=>[-5,4,3,2,-1]
[3,-2,5,4,-1]=>[-3,-5,2,1,-4]
[3,-2,5,-4,1]=>[-3,-5,2,4,-1]
[3,-2,5,-4,-1]=>[-1,-3,4,-5,-2]
[3,-2,-5,4,1]=>[-4,5,3,2,-1]
[3,-2,-5,4,-1]=>[-2,-4,5,1,-3]
[3,-2,-5,-4,1]=>[-3,5,2,4,-1]
[3,-2,-5,-4,-1]=>[-1,-3,4,5,-2]
[-3,2,5,4,1]=>[4,-5,3,1,-2]
[-3,2,5,4,-1]=>[-5,-1,4,3,-2]
[-3,2,5,-4,1]=>[-5,-4,1,3,-2]
[-3,2,5,-4,-1]=>[-4,-1,3,-5,-2]
[-3,2,-5,4,1]=>[5,-4,3,1,-2]
[-3,2,-5,4,-1]=>[-4,-1,5,3,-2]
[-3,2,-5,-4,1]=>[4,5,1,3,-2]
[-3,2,-5,-4,-1]=>[5,-1,3,4,-2]
[-3,-2,5,4,1]=>[3,2,-5,-4,-1]
[-3,-2,5,4,-1]=>[-5,1,-4,-2,-3]
[-3,-2,5,-4,1]=>[-4,-5,-3,2,-1]
[-3,-2,5,-4,-1]=>[-3,-4,-1,-5,-2]
[-3,-2,-5,4,1]=>[5,2,-4,-3,-1]
[-3,-2,-5,4,-1]=>[-4,5,-3,-1,-2]
[-3,-2,-5,-4,1]=>[4,3,5,2,-1]
[-3,-2,-5,-4,-1]=>[3,2,5,1,4]
[3,4,1,2,5]=>[3,2,-5,1,4]
[3,4,1,2,-5]=>[3,2,-4,1,5]
[3,4,1,-2,5]=>[3,2,-1,-5,4]
[3,4,1,-2,-5]=>[3,2,-1,-4,5]
[3,4,-1,2,5]=>[-5,1,2,-4,3]
[3,4,-1,2,-5]=>[-4,1,2,-3,5]
[3,4,-1,-2,5]=>[-3,1,-4,-5,2]
[3,4,-1,-2,-5]=>[-2,1,-3,-4,5]
[3,-4,1,2,5]=>[-5,2,-3,1,4]
[3,-4,1,2,-5]=>[5,2,-3,1,4]
[3,-4,1,-2,5]=>[-5,2,-1,-3,4]
[3,-4,1,-2,-5]=>[5,2,-1,-3,4]
[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]=>[-1,-5,-2,-3,4]
[3,-4,-1,-2,-5]=>[-1,5,-2,-3,4]
[-3,4,1,2,5]=>[3,-5,-2,1,4]
[-3,4,1,2,-5]=>[3,-4,-2,1,5]
[-3,4,1,-2,5]=>[2,-5,-1,-4,3]
[-3,4,1,-2,-5]=>[2,-4,-1,-3,5]
[-3,4,-1,2,5]=>[3,-2,-5,-1,4]
[-3,4,-1,2,-5]=>[3,-2,-4,-1,5]
[-3,4,-1,-2,5]=>[-5,-2,-3,-4,1]
[-3,4,-1,-2,-5]=>[-4,-1,-2,-3,5]
[-3,-4,1,2,5]=>[-5,-4,-2,1,3]
[-3,-4,1,2,-5]=>[4,5,-2,1,3]
[-3,-4,1,-2,5]=>[-5,-4,-1,-3,2]
[-3,-4,1,-2,-5]=>[3,4,-1,5,2]
[-3,-4,-1,2,5]=>[-5,-2,-4,-1,3]
[-3,-4,-1,2,-5]=>[4,-2,5,-1,3]
[-3,-4,-1,-2,5]=>[-5,-2,-3,-4,-1]
[-3,-4,-1,-2,-5]=>[1,4,3,2,5]
[3,4,1,5,2]=>[3,2,-5,4,1]
[3,4,1,5,-2]=>[3,2,-1,4,-5]
[3,4,1,-5,2]=>[3,2,-4,5,1]
[3,4,1,-5,-2]=>[3,2,-1,5,-4]
[3,4,-1,5,2]=>[-5,1,3,2,-4]
[3,4,-1,5,-2]=>[-3,1,-4,2,-5]
[3,4,-1,-5,2]=>[-4,1,5,2,-3]
[3,4,-1,-5,-2]=>[-2,1,-3,5,-4]
[3,-4,1,5,2]=>[-5,2,-3,4,1]
[3,-4,1,5,-2]=>[-5,2,-1,4,-3]
[3,-4,1,-5,2]=>[5,2,-3,4,1]
[3,-4,1,-5,-2]=>[5,2,-1,4,-3]
[3,-4,-1,5,2]=>[-3,4,-5,1,-2]
[3,-4,-1,5,-2]=>[-1,-5,-2,4,-3]
[3,-4,-1,-5,2]=>[-3,4,5,1,-2]
[3,-4,-1,-5,-2]=>[-1,5,-2,4,-3]
[-3,4,1,5,2]=>[3,-5,-2,4,1]
[-3,4,1,5,-2]=>[2,-5,-1,3,-4]
[-3,4,1,-5,2]=>[3,-4,-2,5,1]
[-3,4,1,-5,-2]=>[2,-4,-1,5,-3]
[-3,4,-1,5,2]=>[4,-2,-5,3,-1]
[-3,4,-1,5,-2]=>[-5,-2,-3,1,-4]
[-3,4,-1,-5,2]=>[5,-2,-4,3,-1]
[-3,4,-1,-5,-2]=>[-4,-1,-2,5,-3]
[-3,-4,1,5,2]=>[-5,-4,-2,3,1]
[-3,-4,1,5,-2]=>[-5,-4,-1,2,-3]
[-3,-4,1,-5,2]=>[4,5,-2,3,1]
[-3,-4,1,-5,-2]=>[3,4,-1,2,5]
[-3,-4,-1,5,2]=>[3,-4,-5,-2,-1]
[-3,-4,-1,5,-2]=>[-5,-2,-4,-1,-3]
[-3,-4,-1,-5,2]=>[3,5,4,-2,-1]
[-3,-4,-1,-5,-2]=>[1,4,2,5,3]
[3,4,2,1,5]=>[2,1,3,-5,4]
[3,4,2,1,-5]=>[2,1,3,-4,5]
[3,4,2,-1,5]=>[2,1,-4,-5,3]
[3,4,2,-1,-5]=>[2,1,-3,-4,5]
[3,4,-2,1,5]=>[-5,2,3,-1,4]
[3,4,-2,1,-5]=>[-4,2,3,-1,5]
[3,4,-2,-1,5]=>[-3,1,-5,-4,2]
[3,4,-2,-1,-5]=>[-2,1,-4,-3,5]
[3,-4,2,1,5]=>[2,1,-5,-3,4]
[3,-4,2,1,-5]=>[2,1,5,-3,4]
[3,-4,2,-1,5]=>[-5,1,-2,-3,4]
[3,-4,2,-1,-5]=>[5,1,-2,-3,4]
[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]=>[-1,-5,-3,-2,4]
[3,-4,-2,-1,-5]=>[-1,5,-3,-2,4]
[-3,4,2,1,5]=>[1,3,-5,-2,4]
[-3,4,2,1,-5]=>[1,3,-4,-2,5]
[-3,4,2,-1,5]=>[3,-5,-1,-2,4]
[-3,4,2,-1,-5]=>[3,-4,-1,-2,5]
[-3,4,-2,1,5]=>[2,-4,-5,-1,3]
[-3,4,-2,1,-5]=>[2,-3,-4,-1,5]
[-3,4,-2,-1,5]=>[-5,-2,-4,-3,1]
[-3,4,-2,-1,-5]=>[-4,-1,-3,-2,5]
[-3,-4,2,1,5]=>[1,-5,-4,-2,3]
[-3,-4,2,1,-5]=>[1,4,5,-2,3]
[-3,-4,2,-1,5]=>[-5,-4,-1,-2,3]
[-3,-4,2,-1,-5]=>[4,5,-1,-2,3]
[-3,-4,-2,1,5]=>[-5,-3,-4,-1,2]
[-3,-4,-2,1,-5]=>[3,5,4,-1,2]
[-3,-4,-2,-1,5]=>[-5,-2,-4,-3,-1]
[-3,-4,-2,-1,-5]=>[1,4,2,3,5]
[3,4,2,5,1]=>[2,1,4,3,-5]
[3,4,2,5,-1]=>[2,1,-4,3,-5]
[3,4,2,-5,1]=>[2,1,5,3,-4]
[3,4,2,-5,-1]=>[2,1,-3,5,-4]
[3,4,-2,5,1]=>[-5,2,4,3,-1]
[3,4,-2,5,-1]=>[-3,1,-5,2,-4]
[3,4,-2,-5,1]=>[-4,2,5,3,-1]
[3,4,-2,-5,-1]=>[-2,1,-4,5,-3]
[3,-4,2,5,1]=>[4,1,-5,2,-3]
[3,-4,2,5,-1]=>[-5,1,-2,4,-3]
[3,-4,2,-5,1]=>[4,1,5,2,-3]
[3,-4,2,-5,-1]=>[5,1,-2,4,-3]
[3,-4,-2,5,1]=>[-3,4,-5,2,-1]
[3,-4,-2,5,-1]=>[-1,-5,-3,4,-2]
[3,-4,-2,-5,1]=>[-3,4,5,2,-1]
[3,-4,-2,-5,-1]=>[-1,5,-3,4,-2]
[-3,4,2,5,1]=>[1,4,-5,3,-2]
[-3,4,2,5,-1]=>[3,-5,-1,4,-2]
[-3,4,2,-5,1]=>[1,5,-4,3,-2]
[-3,4,2,-5,-1]=>[3,-4,-1,5,-2]
[-3,4,-2,5,1]=>[3,-4,-5,2,-1]
[-3,4,-2,5,-1]=>[-5,-2,-4,1,-3]
[-3,4,-2,-5,1]=>[5,-3,-4,2,-1]
[-3,4,-2,-5,-1]=>[-4,-1,-3,5,-2]
[-3,-4,2,5,1]=>[3,-5,-4,1,-2]
[-3,-4,2,5,-1]=>[-5,-4,-1,3,-2]
[-3,-4,2,-5,1]=>[3,4,5,1,-2]
[-3,-4,2,-5,-1]=>[4,5,-1,3,-2]
[-3,-4,-2,5,1]=>[2,-4,-5,-3,-1]
[-3,-4,-2,5,-1]=>[-5,-3,-4,-1,-2]
[-3,-4,-2,-5,1]=>[2,4,3,5,-1]
[-3,-4,-2,-5,-1]=>[1,3,2,5,4]
[3,4,5,1,2]=>[4,2,3,-5,1]
[3,4,5,1,-2]=>[4,2,3,-1,-5]
[3,4,5,-1,2]=>[-5,1,2,3,-4]
[3,4,5,-1,-2]=>[-3,1,2,-4,-5]
[3,4,-5,1,2]=>[5,2,3,-4,1]
[3,4,-5,1,-2]=>[5,2,3,-1,-4]
[3,4,-5,-1,2]=>[-4,1,2,5,-3]
[3,4,-5,-1,-2]=>[-2,1,5,-3,-4]
[3,-4,5,1,2]=>[-5,4,2,-3,1]
[3,-4,5,1,-2]=>[-5,4,2,-1,-3]
[3,-4,5,-1,2]=>[-3,4,1,-5,-2]
[3,-4,5,-1,-2]=>[-1,-5,4,-2,-3]
[3,-4,-5,1,2]=>[5,4,2,-3,1]
[3,-4,-5,1,-2]=>[5,4,2,-1,-3]
[3,-4,-5,-1,2]=>[-3,4,1,5,-2]
[3,-4,-5,-1,-2]=>[-1,5,4,-2,-3]
[-3,4,5,1,2]=>[4,-5,3,-2,1]
[-3,4,5,1,-2]=>[3,-5,2,-1,-4]
[-3,4,5,-1,2]=>[4,-2,3,-5,-1]
[-3,4,5,-1,-2]=>[-5,-2,1,-3,-4]
[-3,4,-5,1,2]=>[5,-4,3,-2,1]
[-3,4,-5,1,-2]=>[5,-4,2,-1,-3]
[-3,4,-5,-1,2]=>[5,-2,3,-4,-1]
[-3,4,-5,-1,-2]=>[-4,-1,5,-2,-3]
[-3,-4,5,1,2]=>[3,-5,-4,-2,1]
[-3,-4,5,1,-2]=>[2,-5,-4,-1,-3]
[-3,-4,5,-1,2]=>[3,-5,-2,-4,-1]
[-3,-4,5,-1,-2]=>[-5,-4,-1,-2,-3]
[-3,-4,-5,1,2]=>[3,4,5,-2,1]
[-3,-4,-5,1,-2]=>[2,3,4,-1,5]
[-3,-4,-5,-1,2]=>[3,4,-2,5,-1]
[-3,-4,-5,-1,-2]=>[1,2,5,4,3]
[3,4,5,2,1]=>[3,1,2,4,-5]
[3,4,5,2,-1]=>[3,1,2,-4,-5]
[3,4,5,-2,1]=>[-5,2,3,4,-1]
[3,4,5,-2,-1]=>[-3,1,2,-5,-4]
[3,4,-5,2,1]=>[3,1,2,5,-4]
[3,4,-5,2,-1]=>[5,1,2,-3,-4]
[3,4,-5,-2,1]=>[-4,2,3,5,-1]
[3,4,-5,-2,-1]=>[-2,1,5,-4,-3]
[3,-4,5,2,1]=>[4,2,1,-5,-3]
[3,-4,5,2,-1]=>[-5,4,1,-2,-3]
[3,-4,5,-2,1]=>[-3,4,2,-5,-1]
[3,-4,5,-2,-1]=>[-1,-5,4,-3,-2]
[3,-4,-5,2,1]=>[4,2,1,5,-3]
[3,-4,-5,2,-1]=>[5,4,1,-2,-3]
[3,-4,-5,-2,1]=>[-3,4,2,5,-1]
[3,-4,-5,-2,-1]=>[-1,5,4,-3,-2]
[-3,4,5,2,1]=>[3,4,1,-5,-2]
[-3,4,5,2,-1]=>[4,-5,3,-1,-2]
[-3,4,5,-2,1]=>[3,-4,2,-5,-1]
[-3,4,5,-2,-1]=>[-5,-2,1,-4,-3]
[-3,4,-5,2,1]=>[3,5,1,-4,-2]
[-3,4,-5,2,-1]=>[5,-4,3,-1,-2]
[-3,4,-5,-2,1]=>[5,-3,2,-4,-1]
[-3,4,-5,-2,-1]=>[-4,-1,5,-3,-2]
[-3,-4,5,2,1]=>[1,3,-5,-4,-2]
[-3,-4,5,2,-1]=>[3,-5,-4,-1,-2]
[-3,-4,5,-2,1]=>[2,-5,-3,-4,-1]
[-3,-4,5,-2,-1]=>[-5,-4,-1,-3,-2]
[-3,-4,-5,2,1]=>[1,3,4,5,-2]
[-3,-4,-5,2,-1]=>[3,4,5,-1,-2]
[-3,-4,-5,-2,1]=>[2,3,5,4,-1]
[-3,-4,-5,-2,-1]=>[1,2,5,3,4]
[3,5,1,2,4]=>[4,2,-5,1,3]
[3,5,1,2,-4]=>[4,2,-3,1,-5]
[3,5,1,-2,4]=>[4,2,-1,-5,3]
[3,5,1,-2,-4]=>[4,2,-1,-3,-5]
[3,5,-1,2,4]=>[-5,1,3,-4,2]
[3,5,-1,2,-4]=>[-3,1,4,-2,-5]
[3,5,-1,-2,4]=>[-3,2,-4,-5,1]
[3,5,-1,-2,-4]=>[-1,4,-2,-3,-5]
[3,-5,1,2,4]=>[5,2,-4,1,3]
[3,-5,1,2,-4]=>[4,2,-3,1,5]
[3,-5,1,-2,4]=>[5,2,-1,-4,3]
[3,-5,1,-2,-4]=>[4,2,-1,-3,5]
[3,-5,-1,2,4]=>[-4,1,5,-3,2]
[3,-5,-1,2,-4]=>[-3,1,4,-2,5]
[3,-5,-1,-2,4]=>[-2,5,-3,-4,1]
[3,-5,-1,-2,-4]=>[-1,4,-2,-3,5]
[-3,5,1,2,4]=>[4,-5,-2,1,3]
[-3,5,1,2,-4]=>[3,-4,-2,1,-5]
[-3,5,1,-2,4]=>[3,-5,-1,-4,2]
[-3,5,1,-2,-4]=>[2,-4,-1,-3,-5]
[-3,5,-1,2,4]=>[4,-2,-5,-1,3]
[-3,5,-1,2,-4]=>[3,-2,-4,-1,-5]
[-3,5,-1,-2,4]=>[1,-3,-4,-5,-2]
[-3,5,-1,-2,-4]=>[-4,-1,-2,-3,-5]
[-3,-5,1,2,4]=>[5,-4,-2,1,3]
[-3,-5,1,2,-4]=>[3,5,-2,1,4]
[-3,-5,1,-2,4]=>[5,-4,-1,-3,2]
[-3,-5,1,-2,-4]=>[2,4,-1,5,3]
[-3,-5,-1,2,4]=>[5,-2,-4,-1,3]
[-3,-5,-1,2,-4]=>[3,-2,5,-1,4]
[-3,-5,-1,-2,4]=>[5,-2,-3,-4,-1]
[-3,-5,-1,-2,-4]=>[2,5,4,3,1]
[3,5,1,4,2]=>[4,2,-5,3,1]
[3,5,1,4,-2]=>[4,2,-1,3,-5]
[3,5,1,-4,2]=>[4,2,-3,-5,1]
[3,5,1,-4,-2]=>[4,2,-1,-5,-3]
[3,5,-1,4,2]=>[-5,2,3,1,-4]
[3,5,-1,4,-2]=>[-3,2,-4,1,-5]
[3,5,-1,-4,2]=>[-3,1,-5,4,-2]
[3,5,-1,-4,-2]=>[-1,4,-2,-5,-3]
[3,-5,1,4,2]=>[5,2,-4,3,1]
[3,-5,1,4,-2]=>[5,2,-1,3,-4]
[3,-5,1,-4,2]=>[4,2,-3,5,1]
[3,-5,1,-4,-2]=>[4,2,-1,5,-3]
[3,-5,-1,4,2]=>[-4,2,5,1,-3]
[3,-5,-1,4,-2]=>[-2,5,-3,1,-4]
[3,-5,-1,-4,2]=>[-3,1,5,4,-2]
[3,-5,-1,-4,-2]=>[-1,4,-2,5,-3]
[-3,5,1,4,2]=>[4,-5,-2,3,1]
[-3,5,1,4,-2]=>[3,-5,-1,2,-4]
[-3,5,1,-4,2]=>[3,-4,-2,-5,1]
[-3,5,1,-4,-2]=>[2,-4,-1,-5,-3]
[-3,5,-1,4,2]=>[3,-5,4,-2,-1]
[-3,5,-1,4,-2]=>[1,-3,-5,-2,-4]
[-3,5,-1,-4,2]=>[-5,-2,-4,3,-1]
[-3,5,-1,-4,-2]=>[-4,-1,-2,-5,-3]
[-3,-5,1,4,2]=>[5,-4,-2,3,1]
[-3,-5,1,4,-2]=>[5,-4,-1,2,-3]
[-3,-5,1,-4,2]=>[3,5,-2,4,1]
[-3,-5,1,-4,-2]=>[2,4,-1,3,5]
[-3,-5,-1,4,2]=>[3,-4,5,-2,-1]
[-3,-5,-1,4,-2]=>[5,-2,-4,-1,-3]
[-3,-5,-1,-4,2]=>[4,-2,5,3,-1]
[-3,-5,-1,-4,-2]=>[2,5,4,1,3]
[3,5,2,1,4]=>[2,1,4,-5,3]
[3,5,2,1,-4]=>[2,1,4,-3,-5]
[3,5,2,-1,4]=>[3,1,-4,-5,2]
[3,5,2,-1,-4]=>[4,1,-2,-3,-5]
[3,5,-2,1,4]=>[-5,2,4,-1,3]
[3,5,-2,1,-4]=>[-3,2,4,-1,-5]
[3,5,-2,-1,4]=>[-3,2,-5,-4,1]
[3,5,-2,-1,-4]=>[-1,4,-3,-2,-5]
[3,-5,2,1,4]=>[2,1,5,-4,3]
[3,-5,2,1,-4]=>[2,1,4,-3,5]
[3,-5,2,-1,4]=>[5,1,-3,-4,2]
[3,-5,2,-1,-4]=>[4,1,-2,-3,5]
[3,-5,-2,1,4]=>[-4,2,5,-1,3]
[3,-5,-2,1,-4]=>[-3,2,4,-1,5]
[3,-5,-2,-1,4]=>[-2,5,-4,-3,1]
[3,-5,-2,-1,-4]=>[-1,4,-3,-2,5]
[-3,5,2,1,4]=>[1,4,-5,-2,3]
[-3,5,2,1,-4]=>[1,3,-4,-2,-5]
[-3,5,2,-1,4]=>[4,-5,-1,-2,3]
[-3,5,2,-1,-4]=>[3,-4,-1,-2,-5]
[-3,5,-2,1,4]=>[3,-4,-5,-1,2]
[-3,5,-2,1,-4]=>[2,-3,-4,-1,-5]
[-3,5,-2,-1,4]=>[1,-3,-5,-4,-2]
[-3,5,-2,-1,-4]=>[-4,-1,-3,-2,-5]
[-3,-5,2,1,4]=>[1,5,-4,-2,3]
[-3,-5,2,1,-4]=>[1,3,5,-2,4]
[-3,-5,2,-1,4]=>[5,-4,-1,-2,3]
[-3,-5,2,-1,-4]=>[3,5,-1,-2,4]
[-3,-5,-2,1,4]=>[5,-3,-4,-1,2]
[-3,-5,-2,1,-4]=>[2,5,4,-1,3]
[-3,-5,-2,-1,4]=>[5,-2,-4,-3,-1]
[-3,-5,-2,-1,-4]=>[2,5,3,4,1]
[3,5,2,4,1]=>[3,1,4,2,-5]
[3,5,2,4,-1]=>[3,1,-4,2,-5]
[3,5,2,-4,1]=>[2,1,-5,4,-3]
[3,5,2,-4,-1]=>[4,1,-2,-5,-3]
[3,5,-2,4,1]=>[-5,3,4,2,-1]
[3,5,-2,4,-1]=>[-3,2,-5,1,-4]
[3,5,-2,-4,1]=>[-3,2,-5,4,-1]
[3,5,-2,-4,-1]=>[-1,4,-3,-5,-2]
[3,-5,2,4,1]=>[3,1,5,2,-4]
[3,-5,2,4,-1]=>[5,1,-3,2,-4]
[3,-5,2,-4,1]=>[2,1,5,4,-3]
[3,-5,2,-4,-1]=>[4,1,-2,5,-3]
[3,-5,-2,4,1]=>[-4,3,5,2,-1]
[3,-5,-2,4,-1]=>[-2,5,-4,1,-3]
[3,-5,-2,-4,1]=>[-3,2,5,4,-1]
[3,-5,-2,-4,-1]=>[-1,4,-3,5,-2]
[-3,5,2,4,1]=>[3,4,-5,1,-2]
[-3,5,2,4,-1]=>[4,-5,-1,3,-2]
[-3,5,2,-4,1]=>[1,-5,-4,3,-2]
[-3,5,2,-4,-1]=>[3,-4,-1,-5,-2]
[-3,5,-2,4,1]=>[2,-5,3,-4,-1]
[-3,5,-2,4,-1]=>[1,-4,-5,-2,-3]
[-3,5,-2,-4,1]=>[-5,-3,-4,2,-1]
[-3,5,-2,-4,-1]=>[-4,-1,-3,-5,-2]
[-3,-5,2,4,1]=>[3,5,-4,1,-2]
[-3,-5,2,4,-1]=>[5,-4,-1,3,-2]
[-3,-5,2,-4,1]=>[1,4,5,3,-2]
[-3,-5,2,-4,-1]=>[3,5,-1,4,-2]
[-3,-5,-2,4,1]=>[2,-4,5,-3,-1]
[-3,-5,-2,4,-1]=>[5,-3,-4,-1,-2]
[-3,-5,-2,-4,1]=>[3,5,4,2,-1]
[-3,-5,-2,-4,-1]=>[2,5,3,1,4]
[3,5,4,1,2]=>[4,3,2,-5,1]
[3,5,4,1,-2]=>[4,3,2,-1,-5]
[3,5,4,-1,2]=>[-5,2,1,3,-4]
[3,5,4,-1,-2]=>[-3,2,1,-4,-5]
[3,5,-4,1,2]=>[-5,2,4,-3,1]
[3,5,-4,1,-2]=>[-5,2,4,-1,-3]
[3,5,-4,-1,2]=>[-3,1,4,-5,-2]
[3,5,-4,-1,-2]=>[-1,4,-5,-2,-3]
[3,-5,4,1,2]=>[5,3,2,-4,1]
[3,-5,4,1,-2]=>[5,3,2,-1,-4]
[3,-5,4,-1,2]=>[-4,2,1,5,-3]
[3,-5,4,-1,-2]=>[-2,5,1,-3,-4]
[3,-5,-4,1,2]=>[5,2,4,-3,1]
[3,-5,-4,1,-2]=>[5,2,4,-1,-3]
[3,-5,-4,-1,2]=>[-3,1,4,5,-2]
[3,-5,-4,-1,-2]=>[-1,4,5,-2,-3]
[-3,5,4,1,2]=>[3,4,-5,-2,1]
[-3,5,4,1,-2]=>[2,3,-5,-1,-4]
[-3,5,4,-1,2]=>[3,4,-2,-5,-1]
[-3,5,4,-1,-2]=>[1,-5,-2,-3,-4]
[-3,5,-4,1,2]=>[-5,-4,3,-2,1]
[-3,5,-4,1,-2]=>[-5,-4,2,-1,-3]
[-3,5,-4,-1,2]=>[-5,-2,3,-4,-1]
[-3,5,-4,-1,-2]=>[-4,-1,-5,-2,-3]
[-3,-5,4,1,2]=>[3,5,-4,-2,1]
[-3,-5,4,1,-2]=>[2,5,-4,-1,-3]
[-3,-5,4,-1,2]=>[3,5,-2,-4,-1]
[-3,-5,4,-1,-2]=>[5,-4,-1,-2,-3]
[-3,-5,-4,1,2]=>[4,5,3,-2,1]
[-3,-5,-4,1,-2]=>[3,4,2,-1,5]
[-3,-5,-4,-1,2]=>[4,-2,3,5,-1]
[-3,-5,-4,-1,-2]=>[2,5,1,4,3]
[3,5,4,2,1]=>[3,2,1,4,-5]
[3,5,4,2,-1]=>[3,2,1,-4,-5]
[3,5,4,-2,1]=>[-5,3,2,4,-1]
[3,5,4,-2,-1]=>[-3,2,1,-5,-4]
[3,5,-4,2,1]=>[4,1,2,-5,-3]
[3,5,-4,2,-1]=>[-5,1,4,-2,-3]
[3,5,-4,-2,1]=>[-3,2,4,-5,-1]
[3,5,-4,-2,-1]=>[-1,4,-5,-3,-2]
[3,-5,4,2,1]=>[3,2,1,5,-4]
[3,-5,4,2,-1]=>[5,2,1,-3,-4]
[3,-5,4,-2,1]=>[-4,3,2,5,-1]
[3,-5,4,-2,-1]=>[-2,5,1,-4,-3]
[3,-5,-4,2,1]=>[4,1,2,5,-3]
[3,-5,-4,2,-1]=>[5,1,4,-2,-3]
[3,-5,-4,-2,1]=>[-3,2,4,5,-1]
[3,-5,-4,-2,-1]=>[-1,4,5,-3,-2]
[-3,5,4,2,1]=>[1,3,4,-5,-2]
[-3,5,4,2,-1]=>[3,4,-5,-1,-2]
[-3,5,4,-2,1]=>[2,3,-4,-5,-1]
[-3,5,4,-2,-1]=>[1,-5,-2,-4,-3]
[-3,5,-4,2,1]=>[3,-5,1,-4,-2]
[-3,5,-4,2,-1]=>[-5,-4,3,-1,-2]
[-3,5,-4,-2,1]=>[-5,-3,2,-4,-1]
[-3,5,-4,-2,-1]=>[-4,-1,-5,-3,-2]
[-3,-5,4,2,1]=>[1,3,5,-4,-2]
[-3,-5,4,2,-1]=>[3,5,-4,-1,-2]
[-3,-5,4,-2,1]=>[2,5,-3,-4,-1]
[-3,-5,4,-2,-1]=>[5,-4,-1,-3,-2]
[-3,-5,-4,2,1]=>[3,4,1,5,-2]
[-3,-5,-4,2,-1]=>[4,5,3,-1,-2]
[-3,-5,-4,-2,1]=>[3,5,2,4,-1]
[-3,-5,-4,-2,-1]=>[2,5,1,3,4]
[4,1,2,3,5]=>[3,-5,1,2,4]
[4,1,2,3,-5]=>[3,-4,1,2,5]
[4,1,2,-3,5]=>[3,-2,1,-5,4]
[4,1,2,-3,-5]=>[3,-2,1,-4,5]
[4,1,-2,3,5]=>[3,-1,-5,2,4]
[4,1,-2,3,-5]=>[3,-1,-4,2,5]
[4,1,-2,-3,5]=>[2,-1,-4,-5,3]
[4,1,-2,-3,-5]=>[2,-1,-3,-4,5]
[4,-1,2,3,5]=>[-5,2,-4,1,3]
[4,-1,2,3,-5]=>[-4,2,-3,1,5]
[4,-1,2,-3,5]=>[-2,3,-1,-5,4]
[4,-1,2,-3,-5]=>[-2,3,-1,-4,5]
[4,-1,-2,3,5]=>[-4,-5,1,-3,2]
[4,-1,-2,3,-5]=>[-3,-4,1,-2,5]
[4,-1,-2,-3,5]=>[-2,-3,-4,-5,1]
[4,-1,-2,-3,-5]=>[-1,-2,-3,-4,5]
[-4,1,2,3,5]=>[-5,-3,1,2,4]
[-4,1,2,3,-5]=>[5,-3,1,2,4]
[-4,1,2,-3,5]=>[-5,-2,1,-4,3]
[-4,1,2,-3,-5]=>[4,-2,1,5,3]
[-4,1,-2,3,5]=>[-5,-1,-3,2,4]
[-4,1,-2,3,-5]=>[5,-1,-3,2,4]
[-4,1,-2,-3,5]=>[-5,-1,-3,-4,2]
[-4,1,-2,-3,-5]=>[3,-1,5,4,2]
[-4,-1,2,3,5]=>[-3,-5,-2,1,4]
[-4,-1,2,3,-5]=>[-3,5,-2,1,4]
[-4,-1,2,-3,5]=>[-2,-5,-1,-4,3]
[-4,-1,2,-3,-5]=>[-2,4,-1,5,3]
[-4,-1,-2,3,5]=>[-2,-3,-5,-1,4]
[-4,-1,-2,3,-5]=>[-2,-3,5,-1,4]
[-4,-1,-2,-3,5]=>[-2,-3,-4,-5,-1]
[-4,-1,-2,-3,-5]=>[4,3,2,1,5]
[4,1,2,5,3]=>[3,-5,1,4,2]
[4,1,2,5,-3]=>[3,-2,1,4,-5]
[4,1,2,-5,3]=>[3,-4,1,5,2]
[4,1,2,-5,-3]=>[3,-2,1,5,-4]
[4,1,-2,5,3]=>[3,-1,-5,4,2]
[4,1,-2,5,-3]=>[2,-1,-4,3,-5]
[4,1,-2,-5,3]=>[3,-1,-4,5,2]
[4,1,-2,-5,-3]=>[2,-1,-3,5,-4]
[4,-1,2,5,3]=>[-5,2,-4,3,1]
[4,-1,2,5,-3]=>[-2,3,-1,4,-5]
[4,-1,2,-5,3]=>[-4,2,-3,5,1]
[4,-1,2,-5,-3]=>[-2,3,-1,5,-4]
[4,-1,-2,5,3]=>[-4,-5,2,1,-3]
[4,-1,-2,5,-3]=>[-2,-3,-4,1,-5]
[4,-1,-2,-5,3]=>[-3,-4,5,1,-2]
[4,-1,-2,-5,-3]=>[-1,-2,-3,5,-4]
[-4,1,2,5,3]=>[-5,-3,1,4,2]
[-4,1,2,5,-3]=>[-5,-2,1,3,-4]
[-4,1,2,-5,3]=>[5,-3,1,4,2]
[-4,1,2,-5,-3]=>[4,-2,1,3,5]
[-4,1,-2,5,3]=>[-5,-1,-3,4,2]
[-4,1,-2,5,-3]=>[-5,-1,-3,2,-4]
[-4,1,-2,-5,3]=>[5,-1,-3,4,2]
[-4,1,-2,-5,-3]=>[3,-1,5,2,4]
[-4,-1,2,5,3]=>[-3,-5,-2,4,1]
[-4,-1,2,5,-3]=>[-2,-5,-1,3,-4]
[-4,-1,2,-5,3]=>[-3,5,-2,4,1]
[-4,-1,2,-5,-3]=>[-2,4,-1,3,5]
[-4,-1,-2,5,3]=>[-3,-5,4,-2,-1]
[-4,-1,-2,5,-3]=>[-2,-3,-5,-1,-4]
[-4,-1,-2,-5,3]=>[-3,5,4,-2,-1]
[-4,-1,-2,-5,-3]=>[4,3,1,5,2]
[4,1,3,2,5]=>[3,-5,2,1,4]
[4,1,3,2,-5]=>[3,-4,2,1,5]
[4,1,3,-2,5]=>[3,-1,2,-5,4]
[4,1,3,-2,-5]=>[3,-1,2,-4,5]
[4,1,-3,2,5]=>[3,-2,-5,1,4]
[4,1,-3,2,-5]=>[3,-2,-4,1,5]
[4,1,-3,-2,5]=>[2,-1,-5,-4,3]
[4,1,-3,-2,-5]=>[2,-1,-4,-3,5]
[4,-1,3,2,5]=>[2,1,-5,-4,3]
[4,-1,3,2,-5]=>[2,1,-4,-3,5]
[4,-1,3,-2,5]=>[-4,1,-3,-5,2]
[4,-1,3,-2,-5]=>[-3,1,-2,-4,5]
[4,-1,-3,2,5]=>[-2,-5,3,-1,4]
[4,-1,-3,2,-5]=>[-2,-4,3,-1,5]
[4,-1,-3,-2,5]=>[-2,-3,-5,-4,1]
[4,-1,-3,-2,-5]=>[-1,-2,-4,-3,5]
[-4,1,3,2,5]=>[-5,-3,2,1,4]
[-4,1,3,2,-5]=>[5,-3,2,1,4]
[-4,1,3,-2,5]=>[-5,-1,2,-3,4]
[-4,1,3,-2,-5]=>[5,-1,2,-3,4]
[-4,1,-3,2,5]=>[-5,-2,-4,1,3]
[-4,1,-3,2,-5]=>[4,-2,5,1,3]
[-4,1,-3,-2,5]=>[-5,-1,-4,-3,2]
[-4,1,-3,-2,-5]=>[3,-1,4,5,2]
[-4,-1,3,2,5]=>[-5,1,-3,-2,4]
[-4,-1,3,2,-5]=>[5,1,-3,-2,4]
[-4,-1,3,-2,5]=>[-2,-5,-1,-3,4]
[-4,-1,3,-2,-5]=>[-2,5,-1,-3,4]
[-4,-1,-3,2,5]=>[-2,-4,-5,-1,3]
[-4,-1,-3,2,-5]=>[-2,5,4,-1,3]
[-4,-1,-3,-2,5]=>[-2,-3,-5,-4,-1]
[-4,-1,-3,-2,-5]=>[4,3,1,2,5]
[4,1,3,5,2]=>[3,-5,2,4,1]
[4,1,3,5,-2]=>[3,-1,2,4,-5]
[4,1,3,-5,2]=>[3,-4,2,5,1]
[4,1,3,-5,-2]=>[3,-1,2,5,-4]
[4,1,-3,5,2]=>[3,-2,-5,4,1]
[4,1,-3,5,-2]=>[2,-1,-5,3,-4]
[4,1,-3,-5,2]=>[3,-2,-4,5,1]
[4,1,-3,-5,-2]=>[2,-1,-4,5,-3]
[4,-1,3,5,2]=>[3,1,-5,2,-4]
[4,-1,3,5,-2]=>[-4,1,-3,2,-5]
[4,-1,3,-5,2]=>[5,1,-4,2,-3]
[4,-1,3,-5,-2]=>[-3,1,-2,5,-4]
[4,-1,-3,5,2]=>[-2,-5,4,3,-1]
[4,-1,-3,5,-2]=>[-2,-3,-5,1,-4]
[4,-1,-3,-5,2]=>[-2,-4,5,3,-1]
[4,-1,-3,-5,-2]=>[-1,-2,-4,5,-3]
[-4,1,3,5,2]=>[-5,-3,2,4,1]
[-4,1,3,5,-2]=>[-5,-1,2,4,-3]
[-4,1,3,-5,2]=>[5,-3,2,4,1]
[-4,1,3,-5,-2]=>[5,-1,2,4,-3]
[-4,1,-3,5,2]=>[-5,-2,-4,3,1]
[-4,1,-3,5,-2]=>[-5,-1,-4,2,-3]
[-4,1,-3,-5,2]=>[4,-2,5,3,1]
[-4,1,-3,-5,-2]=>[3,-1,4,2,5]
[-4,-1,3,5,2]=>[-5,4,-3,1,-2]
[-4,-1,3,5,-2]=>[-2,-5,-1,4,-3]
[-4,-1,3,-5,2]=>[5,4,-3,1,-2]
[-4,-1,3,-5,-2]=>[-2,5,-1,4,-3]
[-4,-1,-3,5,2]=>[-4,-5,3,-2,-1]
[-4,-1,-3,5,-2]=>[-2,-4,-5,-1,-3]
[-4,-1,-3,-5,2]=>[5,4,3,-2,-1]
[-4,-1,-3,-5,-2]=>[4,2,1,5,3]
[4,1,5,2,3]=>[3,-5,4,1,2]
[4,1,5,2,-3]=>[3,-2,4,1,-5]
[4,1,5,-2,3]=>[3,-1,4,-5,2]
[4,1,5,-2,-3]=>[2,-1,3,-4,-5]
[4,1,-5,2,3]=>[3,-4,5,1,2]
[4,1,-5,2,-3]=>[3,-2,5,1,-4]
[4,1,-5,-2,3]=>[3,-1,5,-4,2]
[4,1,-5,-2,-3]=>[2,-1,5,-3,-4]
[4,-1,5,2,3]=>[-5,3,2,-4,1]
[4,-1,5,2,-3]=>[-2,4,3,-1,-5]
[4,-1,5,-2,3]=>[-4,-5,1,2,-3]
[4,-1,5,-2,-3]=>[-2,-3,1,-4,-5]
[4,-1,-5,2,3]=>[-4,5,2,-3,1]
[4,-1,-5,2,-3]=>[-2,5,3,-1,-4]
[4,-1,-5,-2,3]=>[-3,-4,1,5,-2]
[4,-1,-5,-2,-3]=>[-1,-2,5,-3,-4]
[-4,1,5,2,3]=>[-5,-3,4,1,2]
[-4,1,5,2,-3]=>[-5,-2,3,1,-4]
[-4,1,5,-2,3]=>[-5,-1,4,-3,2]
[-4,1,5,-2,-3]=>[-5,-1,2,-3,-4]
[-4,1,-5,2,3]=>[5,-3,4,1,2]
[-4,1,-5,2,-3]=>[4,-2,3,1,5]
[-4,1,-5,-2,3]=>[5,-1,4,-3,2]
[-4,1,-5,-2,-3]=>[3,-1,2,5,4]
[-4,-1,5,2,3]=>[-5,4,-3,-2,1]
[-4,-1,5,2,-3]=>[-5,3,-2,-1,-4]
[-4,-1,5,-2,3]=>[-3,4,-2,-5,-1]
[-4,-1,5,-2,-3]=>[-2,-5,-1,-3,-4]
[-4,-1,-5,2,3]=>[5,4,-3,-2,1]
[-4,-1,-5,2,-3]=>[4,3,-2,-1,5]
[-4,-1,-5,-2,3]=>[-3,4,-2,5,-1]
[-4,-1,-5,-2,-3]=>[4,1,5,3,2]
[4,1,5,3,2]=>[3,-5,4,2,1]
[4,1,5,3,-2]=>[3,-1,4,2,-5]
[4,1,5,-3,2]=>[3,-2,4,-5,1]
[4,1,5,-3,-2]=>[2,-1,3,-5,-4]
[4,1,-5,3,2]=>[3,-4,5,2,1]
[4,1,-5,3,-2]=>[3,-1,5,2,-4]
[4,1,-5,-3,2]=>[3,-2,5,-4,1]
[4,1,-5,-3,-2]=>[2,-1,5,-4,-3]
[4,-1,5,3,2]=>[3,2,1,-5,-4]
[4,-1,5,3,-2]=>[-4,2,1,-3,-5]
[4,-1,5,-3,2]=>[-2,-5,3,4,-1]
[4,-1,5,-3,-2]=>[-2,-3,1,-5,-4]
[4,-1,-5,3,2]=>[5,2,1,-4,-3]
[4,-1,-5,3,-2]=>[-3,5,1,-2,-4]
[4,-1,-5,-3,2]=>[-2,-4,3,5,-1]
[4,-1,-5,-3,-2]=>[-1,-2,5,-4,-3]
[-4,1,5,3,2]=>[-5,-3,4,2,1]
[-4,1,5,3,-2]=>[-5,-1,4,2,-3]
[-4,1,5,-3,2]=>[-5,-2,3,-4,1]
[-4,1,5,-3,-2]=>[-5,-1,2,-4,-3]
[-4,1,-5,3,2]=>[5,-3,4,2,1]
[-4,1,-5,3,-2]=>[5,-1,4,2,-3]
[-4,1,-5,-3,2]=>[4,-2,3,5,1]
[-4,1,-5,-3,-2]=>[3,-1,2,4,5]
[-4,-1,5,3,2]=>[4,1,-5,-3,-2]
[-4,-1,5,3,-2]=>[-5,4,-2,-1,-3]
[-4,-1,5,-3,2]=>[-4,3,-2,-5,-1]
[-4,-1,5,-3,-2]=>[-2,-5,-1,-4,-3]
[-4,-1,-5,3,2]=>[4,1,5,-3,-2]
[-4,-1,-5,3,-2]=>[5,4,-2,-1,-3]
[-4,-1,-5,-3,2]=>[5,3,-2,4,-1]
[-4,-1,-5,-3,-2]=>[4,1,5,2,3]
[4,2,1,3,5]=>[1,3,-5,2,4]
[4,2,1,3,-5]=>[1,3,-4,2,5]
[4,2,1,-3,5]=>[1,3,-2,-5,4]
[4,2,1,-3,-5]=>[1,3,-2,-4,5]
[4,2,-1,3,5]=>[2,-4,-5,1,3]
[4,2,-1,3,-5]=>[2,-3,-4,1,5]
[4,2,-1,-3,5]=>[3,-1,-2,-5,4]
[4,2,-1,-3,-5]=>[3,-1,-2,-4,5]
[4,-2,1,3,5]=>[-5,3,-1,2,4]
[4,-2,1,3,-5]=>[-4,3,-1,2,5]
[4,-2,1,-3,5]=>[-4,2,-1,-5,3]
[4,-2,1,-3,-5]=>[-3,2,-1,-4,5]
[4,-2,-1,3,5]=>[-4,1,-5,-3,2]
[4,-2,-1,3,-5]=>[-3,1,-4,-2,5]
[4,-2,-1,-3,5]=>[-2,-4,-3,-5,1]
[4,-2,-1,-3,-5]=>[-1,-3,-2,-4,5]
[-4,2,1,3,5]=>[1,-5,-3,2,4]
[-4,2,1,3,-5]=>[1,5,-3,2,4]
[-4,2,1,-3,5]=>[1,-5,-2,-4,3]
[-4,2,1,-3,-5]=>[1,4,-2,5,3]
[-4,2,-1,3,5]=>[-5,-2,-3,1,4]
[-4,2,-1,3,-5]=>[5,-2,-3,1,4]
[-4,2,-1,-3,5]=>[-5,-1,-2,-4,3]
[-4,2,-1,-3,-5]=>[4,-1,-2,5,3]
[-4,-2,1,3,5]=>[-3,-5,-1,2,4]
[-4,-2,1,3,-5]=>[-3,5,-1,2,4]
[-4,-2,1,-3,5]=>[-3,-5,-1,-4,2]
[-4,-2,1,-3,-5]=>[5,3,-1,4,2]
[-4,-2,-1,3,5]=>[-2,-5,-3,-1,4]
[-4,-2,-1,3,-5]=>[-2,5,-3,-1,4]
[-4,-2,-1,-3,5]=>[-2,-4,-3,-5,-1]
[-4,-2,-1,-3,-5]=>[4,2,3,1,5]
[4,2,1,5,3]=>[1,3,-5,4,2]
[4,2,1,5,-3]=>[1,3,-2,4,-5]
[4,2,1,-5,3]=>[1,3,-4,5,2]
[4,2,1,-5,-3]=>[1,3,-2,5,-4]
[4,2,-1,5,3]=>[2,-4,-5,3,1]
[4,2,-1,5,-3]=>[3,-1,-2,4,-5]
[4,2,-1,-5,3]=>[2,-3,-4,5,1]
[4,2,-1,-5,-3]=>[3,-1,-2,5,-4]
[4,-2,1,5,3]=>[-5,3,-1,4,2]
[4,-2,1,5,-3]=>[-4,2,-1,3,-5]
[4,-2,1,-5,3]=>[-4,3,-1,5,2]
[4,-2,1,-5,-3]=>[-3,2,-1,5,-4]
[4,-2,-1,5,3]=>[-4,2,-5,1,-3]
[4,-2,-1,5,-3]=>[-2,-4,-3,1,-5]
[4,-2,-1,-5,3]=>[-3,5,-4,1,-2]
[4,-2,-1,-5,-3]=>[-1,-3,-2,5,-4]
[-4,2,1,5,3]=>[1,-5,-3,4,2]
[-4,2,1,5,-3]=>[1,-5,-2,3,-4]
[-4,2,1,-5,3]=>[1,5,-3,4,2]
[-4,2,1,-5,-3]=>[1,4,-2,3,5]
[-4,2,-1,5,3]=>[-5,-2,-3,4,1]
[-4,2,-1,5,-3]=>[-5,-1,-2,3,-4]
[-4,2,-1,-5,3]=>[5,-2,-3,4,1]
[-4,2,-1,-5,-3]=>[4,-1,-2,3,5]
[-4,-2,1,5,3]=>[-3,-5,-1,4,2]
[-4,-2,1,5,-3]=>[-3,-5,-1,2,-4]
[-4,-2,1,-5,3]=>[-3,5,-1,4,2]
[-4,-2,1,-5,-3]=>[5,3,-1,2,4]
[-4,-2,-1,5,3]=>[-3,4,-5,-2,-1]
[-4,-2,-1,5,-3]=>[-2,-5,-3,-1,-4]
[-4,-2,-1,-5,3]=>[-3,4,5,-2,-1]
[-4,-2,-1,-5,-3]=>[4,1,3,5,2]
[4,2,3,1,5]=>[2,3,1,-5,4]
[4,2,3,1,-5]=>[2,3,1,-4,5]
[4,2,3,-1,5]=>[2,-4,1,-5,3]
[4,2,3,-1,-5]=>[2,-3,1,-4,5]
[4,2,-3,1,5]=>[1,-5,3,-2,4]
[4,2,-3,1,-5]=>[1,-4,3,-2,5]
[4,2,-3,-1,5]=>[3,-1,-5,-2,4]
[4,2,-3,-1,-5]=>[3,-1,-4,-2,5]
[4,-2,3,1,5]=>[3,2,-5,-1,4]
[4,-2,3,1,-5]=>[3,2,-4,-1,5]
[4,-2,3,-1,5]=>[-5,1,-3,-4,2]
[4,-2,3,-1,-5]=>[-4,1,-2,-3,5]
[4,-2,-3,1,5]=>[-4,-5,2,-1,3]
[4,-2,-3,1,-5]=>[-3,-4,2,-1,5]
[4,-2,-3,-1,5]=>[-2,-4,-5,-3,1]
[4,-2,-3,-1,-5]=>[-1,-3,-4,-2,5]
[-4,2,3,1,5]=>[2,-5,1,-3,4]
[-4,2,3,1,-5]=>[2,5,1,-3,4]
[-4,2,3,-1,5]=>[-5,-2,1,-3,4]
[-4,2,3,-1,-5]=>[5,-2,1,-3,4]
[-4,2,-3,1,5]=>[1,-4,-5,-2,3]
[-4,2,-3,1,-5]=>[1,5,4,-2,3]
[-4,2,-3,-1,5]=>[-5,-1,-4,-2,3]
[-4,2,-3,-1,-5]=>[4,-1,5,-2,3]
[-4,-2,3,1,5]=>[-5,2,-3,-1,4]
[-4,-2,3,1,-5]=>[5,2,-3,-1,4]
[-4,-2,3,-1,5]=>[-3,-5,-1,-2,4]
[-4,-2,3,-1,-5]=>[-3,5,-1,-2,4]
[-4,-2,-3,1,5]=>[-3,-4,-5,-1,2]
[-4,-2,-3,1,-5]=>[5,4,3,-1,2]
[-4,-2,-3,-1,5]=>[-2,-4,-5,-3,-1]
[-4,-2,-3,-1,-5]=>[4,2,1,3,5]
[4,2,3,5,1]=>[2,4,1,3,-5]
[4,2,3,5,-1]=>[2,-4,1,3,-5]
[4,2,3,-5,1]=>[2,5,1,3,-4]
[4,2,3,-5,-1]=>[2,-3,1,5,-4]
[4,2,-3,5,1]=>[1,-5,4,3,-2]
[4,2,-3,5,-1]=>[3,-1,-5,4,-2]
[4,2,-3,-5,1]=>[1,-4,5,3,-2]
[4,2,-3,-5,-1]=>[3,-1,-4,5,-2]
[4,-2,3,5,1]=>[4,2,-5,3,-1]
[4,-2,3,5,-1]=>[-5,1,-3,2,-4]
[4,-2,3,-5,1]=>[5,2,-4,3,-1]
[4,-2,3,-5,-1]=>[-4,1,-2,5,-3]
[4,-2,-3,5,1]=>[-4,-5,3,2,-1]
[4,-2,-3,5,-1]=>[-2,-4,-5,1,-3]
[4,-2,-3,-5,1]=>[-3,-4,5,2,-1]
[4,-2,-3,-5,-1]=>[-1,-3,-4,5,-2]
[-4,2,3,5,1]=>[4,-5,1,2,-3]
[-4,2,3,5,-1]=>[-5,-2,1,4,-3]
[-4,2,3,-5,1]=>[4,5,1,2,-3]
[-4,2,3,-5,-1]=>[5,-2,1,4,-3]
[-4,2,-3,5,1]=>[3,-4,-5,1,-2]
[-4,2,-3,5,-1]=>[-5,-1,-4,3,-2]
[-4,2,-3,-5,1]=>[3,5,4,1,-2]
[-4,2,-3,-5,-1]=>[4,-1,5,3,-2]
[-4,-2,3,5,1]=>[-5,4,-3,2,-1]
[-4,-2,3,5,-1]=>[-3,-5,-1,4,-2]
[-4,-2,3,-5,1]=>[5,4,-3,2,-1]
[-4,-2,3,-5,-1]=>[-3,5,-1,4,-2]
[-4,-2,-3,5,1]=>[-4,-5,2,-3,-1]
[-4,-2,-3,5,-1]=>[-3,-4,-5,-1,-2]
[-4,-2,-3,-5,1]=>[4,3,2,5,-1]
[-4,-2,-3,-5,-1]=>[3,2,1,5,4]
[4,2,5,1,3]=>[1,4,3,-5,2]
[4,2,5,1,-3]=>[1,4,3,-2,-5]
[4,2,5,-1,3]=>[2,-4,3,-5,1]
[4,2,5,-1,-3]=>[3,-1,4,-2,-5]
[4,2,-5,1,3]=>[1,5,3,-4,2]
[4,2,-5,1,-3]=>[1,5,3,-2,-4]
[4,2,-5,-1,3]=>[2,-3,5,-4,1]
[4,2,-5,-1,-3]=>[3,-1,5,-2,-4]
[4,-2,5,1,3]=>[-5,4,3,-1,2]
[4,-2,5,1,-3]=>[-4,3,2,-1,-5]
[4,-2,5,-1,3]=>[-4,2,1,-5,-3]
[4,-2,5,-1,-3]=>[-2,-4,1,-3,-5]
[4,-2,-5,1,3]=>[-4,5,3,-1,2]
[4,-2,-5,1,-3]=>[-3,5,2,-1,-4]
[4,-2,-5,-1,3]=>[-3,5,1,-4,-2]
[4,-2,-5,-1,-3]=>[-1,-3,5,-2,-4]
[-4,2,5,1,3]=>[4,-5,1,-3,2]
[-4,2,5,1,-3]=>[3,-5,1,-2,-4]
[-4,2,5,-1,3]=>[-5,-2,4,-3,1]
[-4,2,5,-1,-3]=>[-5,-1,3,-2,-4]
[-4,2,-5,1,3]=>[4,5,1,-3,2]
[-4,2,-5,1,-3]=>[3,4,1,-2,5]
[-4,2,-5,-1,3]=>[5,-2,4,-3,1]
[-4,2,-5,-1,-3]=>[4,-1,3,-2,5]
[-4,-2,5,1,3]=>[-5,4,-3,-1,2]
[-4,-2,5,1,-3]=>[-5,2,-3,-1,-4]
[-4,-2,5,-1,3]=>[-5,4,-2,-3,-1]
[-4,-2,5,-1,-3]=>[-3,-5,-1,-2,-4]
[-4,-2,-5,1,3]=>[5,4,-3,-1,2]
[-4,-2,-5,1,-3]=>[3,2,5,-1,4]
[-4,-2,-5,-1,3]=>[5,4,-2,-3,-1]
[-4,-2,-5,-1,-3]=>[3,1,5,4,2]
[4,2,5,3,1]=>[2,4,3,1,-5]
[4,2,5,3,-1]=>[2,-4,3,1,-5]
[4,2,5,-3,1]=>[1,-5,3,4,-2]
[4,2,5,-3,-1]=>[3,-1,4,-5,-2]
[4,2,-5,3,1]=>[2,5,3,1,-4]
[4,2,-5,3,-1]=>[2,-3,5,1,-4]
[4,2,-5,-3,1]=>[1,-4,3,5,-2]
[4,2,-5,-3,-1]=>[3,-1,5,-4,-2]
[4,-2,5,3,1]=>[4,3,2,-5,-1]
[4,-2,5,3,-1]=>[-5,2,1,-3,-4]
[4,-2,5,-3,1]=>[-4,-5,2,3,-1]
[4,-2,5,-3,-1]=>[-2,-4,1,-5,-3]
[4,-2,-5,3,1]=>[5,3,2,-4,-1]
[4,-2,-5,3,-1]=>[-4,5,1,-2,-3]
[4,-2,-5,-3,1]=>[-3,-4,2,5,-1]
[4,-2,-5,-3,-1]=>[-1,-3,5,-4,-2]
[-4,2,5,3,1]=>[4,-5,2,1,-3]
[-4,2,5,3,-1]=>[-5,-2,4,1,-3]
[-4,2,5,-3,1]=>[3,-4,1,-5,-2]
[-4,2,5,-3,-1]=>[-5,-1,3,-4,-2]
[-4,2,-5,3,1]=>[4,5,2,1,-3]
[-4,2,-5,3,-1]=>[5,-2,4,1,-3]
[-4,2,-5,-3,1]=>[3,5,1,4,-2]
[-4,2,-5,-3,-1]=>[4,-1,3,5,-2]
[-4,-2,5,3,1]=>[4,2,-5,-3,-1]
[-4,-2,5,3,-1]=>[-5,4,-3,-1,-2]
[-4,-2,5,-3,1]=>[-4,2,-3,-5,-1]
[-4,-2,5,-3,-1]=>[-3,-5,-1,-4,-2]
[-4,-2,-5,3,1]=>[4,2,5,-3,-1]
[-4,-2,-5,3,-1]=>[5,4,-3,-1,-2]
[-4,-2,-5,-3,1]=>[4,2,5,3,-1]
[-4,-2,-5,-3,-1]=>[3,1,5,2,4]
[4,3,1,2,5]=>[2,3,-5,1,4]
[4,3,1,2,-5]=>[2,3,-4,1,5]
[4,3,1,-2,5]=>[2,3,-1,-5,4]
[4,3,1,-2,-5]=>[2,3,-1,-4,5]
[4,3,-1,2,5]=>[1,-5,2,-4,3]
[4,3,-1,2,-5]=>[1,-4,2,-3,5]
[4,3,-1,-2,5]=>[1,-3,-4,-5,2]
[4,3,-1,-2,-5]=>[1,-2,-3,-4,5]
[4,-3,1,2,5]=>[-5,3,-2,1,4]
[4,-3,1,2,-5]=>[-4,3,-2,1,5]
[4,-3,1,-2,5]=>[-5,2,-1,-4,3]
[4,-3,1,-2,-5]=>[-4,2,-1,-3,5]
[4,-3,-1,2,5]=>[-2,3,-5,-1,4]
[4,-3,-1,2,-5]=>[-2,3,-4,-1,5]
[4,-3,-1,-2,5]=>[-2,-5,-3,-4,1]
[4,-3,-1,-2,-5]=>[-1,-4,-2,-3,5]
[-4,3,1,2,5]=>[2,-5,-3,1,4]
[-4,3,1,2,-5]=>[2,5,-3,1,4]
[-4,3,1,-2,5]=>[2,-5,-1,-3,4]
[-4,3,1,-2,-5]=>[2,5,-1,-3,4]
[-4,3,-1,2,5]=>[1,-3,-5,-2,4]
[-4,3,-1,2,-5]=>[1,-3,5,-2,4]
[-4,3,-1,-2,5]=>[-5,-1,-2,-3,4]
[-4,3,-1,-2,-5]=>[5,-1,-2,-3,4]
[-4,-3,1,2,5]=>[-4,-5,-2,1,3]
[-4,-3,1,2,-5]=>[5,4,-2,1,3]
[-4,-3,1,-2,5]=>[-4,-5,-1,-3,2]
[-4,-3,1,-2,-5]=>[4,3,-1,5,2]
[-4,-3,-1,2,5]=>[-2,-5,-4,-1,3]
[-4,-3,-1,2,-5]=>[-2,4,5,-1,3]
[-4,-3,-1,-2,5]=>[-2,-5,-3,-4,-1]
[-4,-3,-1,-2,-5]=>[4,1,3,2,5]
[4,3,1,5,2]=>[2,3,-5,4,1]
[4,3,1,5,-2]=>[2,3,-1,4,-5]
[4,3,1,-5,2]=>[2,3,-4,5,1]
[4,3,1,-5,-2]=>[2,3,-1,5,-4]
[4,3,-1,5,2]=>[1,-5,3,2,-4]
[4,3,-1,5,-2]=>[1,-3,-4,2,-5]
[4,3,-1,-5,2]=>[1,-4,5,2,-3]
[4,3,-1,-5,-2]=>[1,-2,-3,5,-4]
[4,-3,1,5,2]=>[-5,3,-2,4,1]
[4,-3,1,5,-2]=>[-5,2,-1,3,-4]
[4,-3,1,-5,2]=>[-4,3,-2,5,1]
[4,-3,1,-5,-2]=>[-4,2,-1,5,-3]
[4,-3,-1,5,2]=>[-2,4,-5,3,-1]
[4,-3,-1,5,-2]=>[-2,-5,-3,1,-4]
[4,-3,-1,-5,2]=>[-2,5,-4,3,-1]
[4,-3,-1,-5,-2]=>[-1,-4,-2,5,-3]
[-4,3,1,5,2]=>[2,-5,-3,4,1]
[-4,3,1,5,-2]=>[2,-5,-1,4,-3]
[-4,3,1,-5,2]=>[2,5,-3,4,1]
[-4,3,1,-5,-2]=>[2,5,-1,4,-3]
[-4,3,-1,5,2]=>[4,-3,-5,1,-2]
[-4,3,-1,5,-2]=>[-5,-1,-2,4,-3]
[-4,3,-1,-5,2]=>[4,-3,5,1,-2]
[-4,3,-1,-5,-2]=>[5,-1,-2,4,-3]
[-4,-3,1,5,2]=>[-4,-5,-2,3,1]
[-4,-3,1,5,-2]=>[-4,-5,-1,2,-3]
[-4,-3,1,-5,2]=>[5,4,-2,3,1]
[-4,-3,1,-5,-2]=>[4,3,-1,2,5]
[-4,-3,-1,5,2]=>[-4,3,-5,-2,-1]
[-4,-3,-1,5,-2]=>[-2,-5,-4,-1,-3]
[-4,-3,-1,-5,2]=>[5,3,4,-2,-1]
[-4,-3,-1,-5,-2]=>[4,1,2,5,3]
[4,3,2,1,5]=>[1,2,3,-5,4]
[4,3,2,1,-5]=>[1,2,3,-4,5]
[4,3,2,-1,5]=>[1,2,-4,-5,3]
[4,3,2,-1,-5]=>[1,2,-3,-4,5]
[4,3,-2,1,5]=>[2,-5,3,-1,4]
[4,3,-2,1,-5]=>[2,-4,3,-1,5]
[4,3,-2,-1,5]=>[1,-3,-5,-4,2]
[4,3,-2,-1,-5]=>[1,-2,-4,-3,5]
[4,-3,2,1,5]=>[3,1,-5,-2,4]
[4,-3,2,1,-5]=>[3,1,-4,-2,5]
[4,-3,2,-1,5]=>[-5,3,-1,-2,4]
[4,-3,2,-1,-5]=>[-4,3,-1,-2,5]
[4,-3,-2,1,5]=>[-4,2,-5,-1,3]
[4,-3,-2,1,-5]=>[-3,2,-4,-1,5]
[4,-3,-2,-1,5]=>[-2,-5,-4,-3,1]
[4,-3,-2,-1,-5]=>[-1,-4,-3,-2,5]
[-4,3,2,1,5]=>[1,2,-5,-3,4]
[-4,3,2,1,-5]=>[1,2,5,-3,4]
[-4,3,2,-1,5]=>[1,-5,-2,-3,4]
[-4,3,2,-1,-5]=>[1,5,-2,-3,4]
[-4,3,-2,1,5]=>[2,-3,-5,-1,4]
[-4,3,-2,1,-5]=>[2,-3,5,-1,4]
[-4,3,-2,-1,5]=>[-5,-1,-3,-2,4]
[-4,3,-2,-1,-5]=>[5,-1,-3,-2,4]
[-4,-3,2,1,5]=>[-5,1,-4,-2,3]
[-4,-3,2,1,-5]=>[4,1,5,-2,3]
[-4,-3,2,-1,5]=>[-4,-5,-1,-2,3]
[-4,-3,2,-1,-5]=>[5,4,-1,-2,3]
[-4,-3,-2,1,5]=>[-3,-5,-4,-1,2]
[-4,-3,-2,1,-5]=>[5,3,4,-1,2]
[-4,-3,-2,-1,5]=>[-2,-5,-4,-3,-1]
[-4,-3,-2,-1,-5]=>[4,1,2,3,5]
[4,3,2,5,1]=>[1,2,4,3,-5]
[4,3,2,5,-1]=>[1,2,-4,3,-5]
[4,3,2,-5,1]=>[1,2,5,3,-4]
[4,3,2,-5,-1]=>[1,2,-3,5,-4]
[4,3,-2,5,1]=>[2,-5,4,3,-1]
[4,3,-2,5,-1]=>[1,-3,-5,2,-4]
[4,3,-2,-5,1]=>[2,-4,5,3,-1]
[4,3,-2,-5,-1]=>[1,-2,-4,5,-3]
[4,-3,2,5,1]=>[4,1,-5,3,-2]
[4,-3,2,5,-1]=>[-5,3,-1,4,-2]
[4,-3,2,-5,1]=>[5,1,-4,3,-2]
[4,-3,2,-5,-1]=>[-4,3,-1,5,-2]
[4,-3,-2,5,1]=>[-4,3,-5,2,-1]
[4,-3,-2,5,-1]=>[-2,-5,-4,1,-3]
[4,-3,-2,-5,1]=>[-3,5,-4,2,-1]
[4,-3,-2,-5,-1]=>[-1,-4,-3,5,-2]
[-4,3,2,5,1]=>[1,4,-5,2,-3]
[-4,3,2,5,-1]=>[1,-5,-2,4,-3]
[-4,3,2,-5,1]=>[1,4,5,2,-3]
[-4,3,2,-5,-1]=>[1,5,-2,4,-3]
[-4,3,-2,5,1]=>[4,-3,-5,2,-1]
[-4,3,-2,5,-1]=>[-5,-1,-3,4,-2]
[-4,3,-2,-5,1]=>[4,-3,5,2,-1]
[-4,3,-2,-5,-1]=>[5,-1,-3,4,-2]
[-4,-3,2,5,1]=>[-5,3,-4,1,-2]
[-4,-3,2,5,-1]=>[-4,-5,-1,3,-2]
[-4,-3,2,-5,1]=>[4,3,5,1,-2]
[-4,-3,2,-5,-1]=>[5,4,-1,3,-2]
[-4,-3,-2,5,1]=>[-4,2,-5,-3,-1]
[-4,-3,-2,5,-1]=>[-3,-5,-4,-1,-2]
[-4,-3,-2,-5,1]=>[4,2,3,5,-1]
[-4,-3,-2,-5,-1]=>[3,1,2,5,4]
[4,3,5,1,2]=>[2,4,3,-5,1]
[4,3,5,1,-2]=>[2,4,3,-1,-5]
[4,3,5,-1,2]=>[1,-5,2,3,-4]
[4,3,5,-1,-2]=>[1,-3,2,-4,-5]
[4,3,-5,1,2]=>[2,5,3,-4,1]
[4,3,-5,1,-2]=>[2,5,3,-1,-4]
[4,3,-5,-1,2]=>[1,-4,2,5,-3]
[4,3,-5,-1,-2]=>[1,-2,5,-3,-4]
[4,-3,5,1,2]=>[-5,4,3,-2,1]
[4,-3,5,1,-2]=>[-5,3,2,-1,-4]
[4,-3,5,-1,2]=>[-2,4,3,-5,-1]
[4,-3,5,-1,-2]=>[-2,-5,1,-3,-4]
[4,-3,-5,1,2]=>[-4,5,3,-2,1]
[4,-3,-5,1,-2]=>[-4,5,2,-1,-3]
[4,-3,-5,-1,2]=>[-2,5,3,-4,-1]
[4,-3,-5,-1,-2]=>[-1,-4,5,-2,-3]
[-4,3,5,1,2]=>[4,-5,2,-3,1]
[-4,3,5,1,-2]=>[4,-5,2,-1,-3]
[-4,3,5,-1,2]=>[4,-3,1,-5,-2]
[-4,3,5,-1,-2]=>[-5,-1,4,-2,-3]
[-4,3,-5,1,2]=>[4,5,2,-3,1]
[-4,3,-5,1,-2]=>[4,5,2,-1,-3]
[-4,3,-5,-1,2]=>[4,-3,1,5,-2]
[-4,3,-5,-1,-2]=>[5,-1,4,-2,-3]
[-4,-3,5,1,2]=>[-5,3,-4,-2,1]
[-4,-3,5,1,-2]=>[-5,2,-4,-1,-3]
[-4,-3,5,-1,2]=>[-5,3,-2,-4,-1]
[-4,-3,5,-1,-2]=>[-4,-5,-1,-2,-3]
[-4,-3,-5,1,2]=>[4,3,5,-2,1]
[-4,-3,-5,1,-2]=>[3,2,4,-1,5]
[-4,-3,-5,-1,2]=>[4,3,-2,5,-1]
[-4,-3,-5,-1,-2]=>[2,1,5,4,3]
[4,3,5,2,1]=>[1,3,2,4,-5]
[4,3,5,2,-1]=>[1,3,2,-4,-5]
[4,3,5,-2,1]=>[2,-5,3,4,-1]
[4,3,5,-2,-1]=>[1,-3,2,-5,-4]
[4,3,-5,2,1]=>[1,3,2,5,-4]
[4,3,-5,2,-1]=>[1,5,2,-3,-4]
[4,3,-5,-2,1]=>[2,-4,3,5,-1]
[4,3,-5,-2,-1]=>[1,-2,5,-4,-3]
[4,-3,5,2,1]=>[4,3,1,-5,-2]
[4,-3,5,2,-1]=>[-5,4,3,-1,-2]
[4,-3,5,-2,1]=>[-4,3,2,-5,-1]
[4,-3,5,-2,-1]=>[-2,-5,1,-4,-3]
[4,-3,-5,2,1]=>[5,3,1,-4,-2]
[4,-3,-5,2,-1]=>[-4,5,3,-1,-2]
[4,-3,-5,-2,1]=>[-3,5,2,-4,-1]
[4,-3,-5,-2,-1]=>[-1,-4,5,-3,-2]
[-4,3,5,2,1]=>[2,4,1,-5,-3]
[-4,3,5,2,-1]=>[4,-5,1,-2,-3]
[-4,3,5,-2,1]=>[4,-3,2,-5,-1]
[-4,3,5,-2,-1]=>[-5,-1,4,-3,-2]
[-4,3,-5,2,1]=>[2,4,1,5,-3]
[-4,3,-5,2,-1]=>[4,5,1,-2,-3]
[-4,3,-5,-2,1]=>[4,-3,2,5,-1]
[-4,3,-5,-2,-1]=>[5,-1,4,-3,-2]
[-4,-3,5,2,1]=>[3,1,-5,-4,-2]
[-4,-3,5,2,-1]=>[-5,3,-4,-1,-2]
[-4,-3,5,-2,1]=>[-5,2,-3,-4,-1]
[-4,-3,5,-2,-1]=>[-4,-5,-1,-3,-2]
[-4,-3,-5,2,1]=>[3,1,4,5,-2]
[-4,-3,-5,2,-1]=>[4,3,5,-1,-2]
[-4,-3,-5,-2,1]=>[3,2,5,4,-1]
[-4,-3,-5,-2,-1]=>[2,1,5,3,4]
[4,5,1,2,3]=>[4,3,-5,1,2]
[4,5,1,2,-3]=>[4,3,-2,1,-5]
[4,5,1,-2,3]=>[4,3,-1,-5,2]
[4,5,1,-2,-3]=>[3,2,-1,-4,-5]
[4,5,-1,2,3]=>[-5,2,3,-4,1]
[4,5,-1,2,-3]=>[-2,3,4,-1,-5]
[4,5,-1,-2,3]=>[-4,1,-5,2,-3]
[4,5,-1,-2,-3]=>[-2,1,-3,-4,-5]
[4,-5,1,2,3]=>[5,3,-4,1,2]
[4,-5,1,2,-3]=>[5,3,-2,1,-4]
[4,-5,1,-2,3]=>[5,3,-1,-4,2]
[4,-5,1,-2,-3]=>[5,2,-1,-3,-4]
[4,-5,-1,2,3]=>[-4,2,5,-3,1]
[4,-5,-1,2,-3]=>[-2,3,5,-1,-4]
[4,-5,-1,-2,3]=>[-3,1,-4,5,-2]
[4,-5,-1,-2,-3]=>[-1,5,-2,-3,-4]
[-4,5,1,2,3]=>[4,-5,-3,1,2]
[-4,5,1,2,-3]=>[3,-5,-2,1,-4]
[-4,5,1,-2,3]=>[4,-5,-1,-3,2]
[-4,5,1,-2,-3]=>[2,-5,-1,-3,-4]
[-4,5,-1,2,3]=>[4,-3,-5,-2,1]
[-4,5,-1,2,-3]=>[3,-2,-5,-1,-4]
[-4,5,-1,-2,3]=>[4,-2,-3,-5,-1]
[-4,5,-1,-2,-3]=>[-5,-1,-2,-3,-4]
[-4,-5,1,2,3]=>[4,5,-3,1,2]
[-4,-5,1,2,-3]=>[3,4,-2,1,5]
[-4,-5,1,-2,3]=>[4,5,-1,-3,2]
[-4,-5,1,-2,-3]=>[2,3,-1,5,4]
[-4,-5,-1,2,3]=>[4,-3,5,-2,1]
[-4,-5,-1,2,-3]=>[3,-2,4,-1,5]
[-4,-5,-1,-2,3]=>[4,-2,-3,5,-1]
[-4,-5,-1,-2,-3]=>[1,5,4,3,2]
[4,5,1,3,2]=>[4,3,-5,2,1]
[4,5,1,3,-2]=>[4,3,-1,2,-5]
[4,5,1,-3,2]=>[4,3,-2,-5,1]
[4,5,1,-3,-2]=>[3,2,-1,-5,-4]
[4,5,-1,3,2]=>[3,1,2,-5,-4]
[4,5,-1,3,-2]=>[-4,1,2,-3,-5]
[4,5,-1,-3,2]=>[-2,3,-5,4,-1]
[4,5,-1,-3,-2]=>[-2,1,-3,-5,-4]
[4,-5,1,3,2]=>[5,3,-4,2,1]
[4,-5,1,3,-2]=>[5,3,-1,2,-4]
[4,-5,1,-3,2]=>[5,3,-2,-4,1]
[4,-5,1,-3,-2]=>[5,2,-1,-4,-3]
[4,-5,-1,3,2]=>[5,1,2,-4,-3]
[4,-5,-1,3,-2]=>[-3,1,5,-2,-4]
[4,-5,-1,-3,2]=>[-2,3,-4,5,-1]
[4,-5,-1,-3,-2]=>[-1,5,-2,-4,-3]
[-4,5,1,3,2]=>[4,-5,-3,2,1]
[-4,5,1,3,-2]=>[4,-5,-1,2,-3]
[-4,5,1,-3,2]=>[3,-5,-2,-4,1]
[-4,5,1,-3,-2]=>[2,-5,-1,-4,-3]
[-4,5,-1,3,2]=>[1,-5,4,-3,-2]
[-4,5,-1,3,-2]=>[4,-2,-5,-1,-3]
[-4,5,-1,-3,2]=>[3,-2,-4,-5,-1]
[-4,5,-1,-3,-2]=>[-5,-1,-2,-4,-3]
[-4,-5,1,3,2]=>[4,5,-3,2,1]
[-4,-5,1,3,-2]=>[4,5,-1,2,-3]
[-4,-5,1,-3,2]=>[3,4,-2,5,1]
[-4,-5,1,-3,-2]=>[2,3,-1,4,5]
[-4,-5,-1,3,2]=>[1,5,4,-3,-2]
[-4,-5,-1,3,-2]=>[4,-2,5,-1,-3]
[-4,-5,-1,-3,2]=>[3,-2,5,4,-1]
[-4,-5,-1,-3,-2]=>[1,5,4,2,3]
[4,5,2,1,3]=>[3,1,4,-5,2]
[4,5,2,1,-3]=>[3,1,4,-2,-5]
[4,5,2,-1,3]=>[3,2,-4,-5,1]
[4,5,2,-1,-3]=>[4,3,-1,-2,-5]
[4,5,-2,1,3]=>[-5,3,4,-1,2]
[4,5,-2,1,-3]=>[-4,2,3,-1,-5]
[4,5,-2,-1,3]=>[-4,1,2,-5,-3]
[4,5,-2,-1,-3]=>[-2,1,-4,-3,-5]
[4,-5,2,1,3]=>[3,1,5,-4,2]
[4,-5,2,1,-3]=>[3,1,5,-2,-4]
[4,-5,2,-1,3]=>[5,2,-3,-4,1]
[4,-5,2,-1,-3]=>[5,3,-1,-2,-4]
[4,-5,-2,1,3]=>[-4,3,5,-1,2]
[4,-5,-2,1,-3]=>[-3,2,5,-1,-4]
[4,-5,-2,-1,3]=>[-3,1,5,-4,-2]
[4,-5,-2,-1,-3]=>[-1,5,-3,-2,-4]
[-4,5,2,1,3]=>[1,4,-5,-3,2]
[-4,5,2,1,-3]=>[1,3,-5,-2,-4]
[-4,5,2,-1,3]=>[4,-5,-2,-3,1]
[-4,5,2,-1,-3]=>[3,-5,-1,-2,-4]
[-4,5,-2,1,3]=>[4,-3,-5,-1,2]
[-4,5,-2,1,-3]=>[2,-3,-5,-1,-4]
[-4,5,-2,-1,3]=>[4,-2,-5,-3,-1]
[-4,5,-2,-1,-3]=>[-5,-1,-3,-2,-4]
[-4,-5,2,1,3]=>[1,4,5,-3,2]
[-4,-5,2,1,-3]=>[1,3,4,-2,5]
[-4,-5,2,-1,3]=>[4,5,-2,-3,1]
[-4,-5,2,-1,-3]=>[3,4,-1,-2,5]
[-4,-5,-2,1,3]=>[4,-3,5,-1,2]
[-4,-5,-2,1,-3]=>[2,5,3,-1,4]
[-4,-5,-2,-1,3]=>[4,-2,5,-3,-1]
[-4,-5,-2,-1,-3]=>[1,5,3,4,2]
[4,5,2,3,1]=>[3,2,4,1,-5]
[4,5,2,3,-1]=>[3,2,-4,1,-5]
[4,5,2,-3,1]=>[3,1,-5,4,-2]
[4,5,2,-3,-1]=>[4,3,-1,-5,-2]
[4,5,-2,3,1]=>[4,2,3,-5,-1]
[4,5,-2,3,-1]=>[-5,1,2,-3,-4]
[4,5,-2,-3,1]=>[-4,2,-5,3,-1]
[4,5,-2,-3,-1]=>[-2,1,-4,-5,-3]
[4,-5,2,3,1]=>[3,2,5,1,-4]
[4,-5,2,3,-1]=>[5,2,-3,1,-4]
[4,-5,2,-3,1]=>[3,1,-4,5,-2]
[4,-5,2,-3,-1]=>[5,3,-1,-4,-2]
[4,-5,-2,3,1]=>[5,2,3,-4,-1]
[4,-5,-2,3,-1]=>[-4,1,5,-2,-3]
[4,-5,-2,-3,1]=>[-3,2,-4,5,-1]
[4,-5,-2,-3,-1]=>[-1,5,-3,-4,-2]
[-4,5,2,3,1]=>[2,4,-5,1,-3]
[-4,5,2,3,-1]=>[4,-5,-2,1,-3]
[-4,5,2,-3,1]=>[1,3,-4,-5,-2]
[-4,5,2,-3,-1]=>[3,-5,-1,-4,-2]
[-4,5,-2,3,1]=>[2,-5,4,-3,-1]
[-4,5,-2,3,-1]=>[4,-3,-5,-1,-2]
[-4,5,-2,-3,1]=>[2,-3,-4,-5,-1]
[-4,5,-2,-3,-1]=>[-5,-1,-3,-4,-2]
[-4,-5,2,3,1]=>[2,4,5,1,-3]
[-4,-5,2,3,-1]=>[4,5,-2,1,-3]
[-4,-5,2,-3,1]=>[1,3,5,4,-2]
[-4,-5,2,-3,-1]=>[3,4,-1,5,-2]
[-4,-5,-2,3,1]=>[2,5,4,-3,-1]
[-4,-5,-2,3,-1]=>[4,-3,5,-1,-2]
[-4,-5,-2,-3,1]=>[2,5,4,3,-1]
[-4,-5,-2,-3,-1]=>[1,5,3,2,4]
[4,5,3,1,2]=>[3,2,4,-5,1]
[4,5,3,1,-2]=>[3,2,4,-1,-5]
[4,5,3,-1,2]=>[2,1,-5,3,-4]
[4,5,3,-1,-2]=>[2,1,-3,-4,-5]
[4,5,-3,1,2]=>[-5,3,4,-2,1]
[4,5,-3,1,-2]=>[-5,2,3,-1,-4]
[4,5,-3,-1,2]=>[-2,3,4,-5,-1]
[4,5,-3,-1,-2]=>[-2,1,-5,-3,-4]
[4,-5,3,1,2]=>[3,2,5,-4,1]
[4,-5,3,1,-2]=>[3,2,5,-1,-4]
[4,-5,3,-1,2]=>[2,1,-4,5,-3]
[4,-5,3,-1,-2]=>[5,1,-2,-3,-4]
[4,-5,-3,1,2]=>[-4,3,5,-2,1]
[4,-5,-3,1,-2]=>[-4,2,5,-1,-3]
[4,-5,-3,-1,2]=>[-2,3,5,-4,-1]
[4,-5,-3,-1,-2]=>[-1,5,-4,-2,-3]
[-4,5,3,1,2]=>[2,4,-5,-3,1]
[-4,5,3,1,-2]=>[2,4,-5,-1,-3]
[-4,5,3,-1,2]=>[1,4,-3,-5,-2]
[-4,5,3,-1,-2]=>[4,-5,-1,-2,-3]
[-4,5,-3,1,2]=>[3,-4,-5,-2,1]
[-4,5,-3,1,-2]=>[2,-4,-5,-1,-3]
[-4,5,-3,-1,2]=>[3,-2,-5,-4,-1]
[-4,5,-3,-1,-2]=>[-5,-1,-4,-2,-3]
[-4,-5,3,1,2]=>[2,4,5,-3,1]
[-4,-5,3,1,-2]=>[2,4,5,-1,-3]
[-4,-5,3,-1,2]=>[1,4,-3,5,-2]
[-4,-5,3,-1,-2]=>[4,5,-1,-2,-3]
[-4,-5,-3,1,2]=>[3,5,4,-2,1]
[-4,-5,-3,1,-2]=>[2,4,3,-1,5]
[-4,-5,-3,-1,2]=>[3,-2,4,5,-1]
[-4,-5,-3,-1,-2]=>[1,5,2,4,3]
[4,5,3,2,1]=>[2,1,3,4,-5]
[4,5,3,2,-1]=>[2,1,3,-4,-5]
[4,5,3,-2,1]=>[3,2,-5,4,-1]
[4,5,3,-2,-1]=>[2,1,-3,-5,-4]
[4,5,-3,2,1]=>[4,1,3,-5,-2]
[4,5,-3,2,-1]=>[-5,3,4,-1,-2]
[4,5,-3,-2,1]=>[-4,2,3,-5,-1]
[4,5,-3,-2,-1]=>[-2,1,-5,-4,-3]
[4,-5,3,2,1]=>[2,1,3,5,-4]
[4,-5,3,2,-1]=>[2,1,5,-3,-4]
[4,-5,3,-2,1]=>[3,2,-4,5,-1]
[4,-5,3,-2,-1]=>[5,1,-2,-4,-3]
[4,-5,-3,2,1]=>[5,1,3,-4,-2]
[4,-5,-3,2,-1]=>[-4,3,5,-1,-2]
[4,-5,-3,-2,1]=>[-3,2,5,-4,-1]
[4,-5,-3,-2,-1]=>[-1,5,-4,-3,-2]
[-4,5,3,2,1]=>[1,2,4,-5,-3]
[-4,5,3,2,-1]=>[1,4,-5,-2,-3]
[-4,5,3,-2,1]=>[2,4,-3,-5,-1]
[-4,5,3,-2,-1]=>[4,-5,-1,-3,-2]
[-4,5,-3,2,1]=>[1,-5,3,-4,-2]
[-4,5,-3,2,-1]=>[3,-4,-5,-1,-2]
[-4,5,-3,-2,1]=>[2,-3,-5,-4,-1]
[-4,5,-3,-2,-1]=>[-5,-1,-4,-3,-2]
[-4,-5,3,2,1]=>[1,2,4,5,-3]
[-4,-5,3,2,-1]=>[1,4,5,-2,-3]
[-4,-5,3,-2,1]=>[2,4,-3,5,-1]
[-4,-5,3,-2,-1]=>[4,5,-1,-3,-2]
[-4,-5,-3,2,1]=>[1,4,3,5,-2]
[-4,-5,-3,2,-1]=>[3,5,4,-1,-2]
[-4,-5,-3,-2,1]=>[2,5,3,4,-1]
[-4,-5,-3,-2,-1]=>[1,5,2,3,4]
[5,1,2,3,4]=>[4,-5,1,2,3]
[5,1,2,3,-4]=>[4,-3,1,2,-5]
[5,1,2,-3,4]=>[4,-2,1,-5,3]
[5,1,2,-3,-4]=>[3,-2,1,-4,-5]
[5,1,-2,3,4]=>[4,-1,-5,2,3]
[5,1,-2,3,-4]=>[4,-1,-3,2,-5]
[5,1,-2,-3,4]=>[3,-1,-4,-5,2]
[5,1,-2,-3,-4]=>[2,-1,-3,-4,-5]
[5,-1,2,3,4]=>[-5,3,-4,1,2]
[5,-1,2,3,-4]=>[-3,4,-2,1,-5]
[5,-1,2,-3,4]=>[-2,4,-1,-5,3]
[5,-1,2,-3,-4]=>[-2,3,-1,-4,-5]
[5,-1,-2,3,4]=>[-4,-5,2,-3,1]
[5,-1,-2,3,-4]=>[-2,-3,4,-1,-5]
[5,-1,-2,-3,4]=>[-3,-4,-5,1,-2]
[5,-1,-2,-3,-4]=>[-1,-2,-3,-4,-5]
[-5,1,2,3,4]=>[5,-4,1,2,3]
[-5,1,2,3,-4]=>[4,-3,1,2,5]
[-5,1,2,-3,4]=>[5,-2,1,-4,3]
[-5,1,2,-3,-4]=>[3,-2,1,5,4]
[-5,1,-2,3,4]=>[5,-1,-4,2,3]
[-5,1,-2,3,-4]=>[4,-1,-3,2,5]
[-5,1,-2,-3,4]=>[5,-1,-3,-4,2]
[-5,1,-2,-3,-4]=>[2,-1,5,4,3]
[-5,-1,2,3,4]=>[-4,5,-3,1,2]
[-5,-1,2,3,-4]=>[-3,4,-2,1,5]
[-5,-1,2,-3,4]=>[-2,5,-1,-4,3]
[-5,-1,2,-3,-4]=>[-2,3,-1,5,4]
[-5,-1,-2,3,4]=>[-3,-4,5,-2,1]
[-5,-1,-2,3,-4]=>[-2,-3,4,-1,5]
[-5,-1,-2,-3,4]=>[-2,-3,-4,5,-1]
[-5,-1,-2,-3,-4]=>[5,4,3,2,1]
[5,1,2,4,3]=>[4,-5,1,3,2]
[5,1,2,4,-3]=>[4,-2,1,3,-5]
[5,1,2,-4,3]=>[4,-3,1,-5,2]
[5,1,2,-4,-3]=>[3,-2,1,-5,-4]
[5,1,-2,4,3]=>[4,-1,-5,3,2]
[5,1,-2,4,-3]=>[3,-1,-4,2,-5]
[5,1,-2,-4,3]=>[4,-1,-3,-5,2]
[5,1,-2,-4,-3]=>[2,-1,-3,-5,-4]
[5,-1,2,4,3]=>[-5,3,-4,2,1]
[5,-1,2,4,-3]=>[-2,4,-1,3,-5]
[5,-1,2,-4,3]=>[-3,4,-2,-5,1]
[5,-1,2,-4,-3]=>[-2,3,-1,-5,-4]
[5,-1,-2,4,3]=>[-5,2,1,-4,-3]
[5,-1,-2,4,-3]=>[-3,-4,1,-2,-5]
[5,-1,-2,-4,3]=>[-2,-3,-5,4,-1]
[5,-1,-2,-4,-3]=>[-1,-2,-3,-5,-4]
[-5,1,2,4,3]=>[5,-4,1,3,2]
[-5,1,2,4,-3]=>[5,-2,1,3,-4]
[-5,1,2,-4,3]=>[4,-3,1,5,2]
[-5,1,2,-4,-3]=>[3,-2,1,4,5]
[-5,1,-2,4,3]=>[5,-1,-4,3,2]
[-5,1,-2,4,-3]=>[5,-1,-3,2,-4]
[-5,1,-2,-4,3]=>[4,-1,-3,5,2]
[-5,1,-2,-4,-3]=>[2,-1,5,3,4]
[-5,-1,2,4,3]=>[-4,5,-3,2,1]
[-5,-1,2,4,-3]=>[-2,5,-1,3,-4]
[-5,-1,2,-4,3]=>[-3,4,-2,5,1]
[-5,-1,2,-4,-3]=>[-2,3,-1,4,5]
[-5,-1,-2,4,3]=>[-4,5,1,-3,-2]
[-5,-1,-2,4,-3]=>[-2,-3,5,-1,-4]
[-5,-1,-2,-4,3]=>[-2,-3,5,4,-1]
[-5,-1,-2,-4,-3]=>[5,4,3,1,2]
[5,1,3,2,4]=>[4,-5,2,1,3]
[5,1,3,2,-4]=>[4,-3,2,1,-5]
[5,1,3,-2,4]=>[4,-1,2,-5,3]
[5,1,3,-2,-4]=>[4,-1,2,-3,-5]
[5,1,-3,2,4]=>[4,-2,-5,1,3]
[5,1,-3,2,-4]=>[3,-2,-4,1,-5]
[5,1,-3,-2,4]=>[3,-1,-5,-4,2]
[5,1,-3,-2,-4]=>[2,-1,-4,-3,-5]
[5,-1,3,2,4]=>[3,1,-5,-4,2]
[5,-1,3,2,-4]=>[4,1,-3,-2,-5]
[5,-1,3,-2,4]=>[-4,2,-3,-5,1]
[5,-1,3,-2,-4]=>[-2,4,-1,-3,-5]
[5,-1,-3,2,4]=>[-2,-5,4,-1,3]
[5,-1,-3,2,-4]=>[-2,-4,3,-1,-5]
[5,-1,-3,-2,4]=>[-3,-4,1,-5,-2]
[5,-1,-3,-2,-4]=>[-1,-2,-4,-3,-5]
[-5,1,3,2,4]=>[5,-4,2,1,3]
[-5,1,3,2,-4]=>[4,-3,2,1,5]
[-5,1,3,-2,4]=>[5,-1,2,-4,3]
[-5,1,3,-2,-4]=>[4,-1,2,-3,5]
[-5,1,-3,2,4]=>[5,-2,-4,1,3]
[-5,1,-3,2,-4]=>[3,-2,5,1,4]
[-5,1,-3,-2,4]=>[5,-1,-4,-3,2]
[-5,1,-3,-2,-4]=>[2,-1,4,5,3]
[-5,-1,3,2,4]=>[5,1,-4,-3,2]
[-5,-1,3,2,-4]=>[4,1,-3,-2,5]
[-5,-1,3,-2,4]=>[-3,5,-2,-4,1]
[-5,-1,3,-2,-4]=>[-2,4,-1,-3,5]
[-5,-1,-3,2,4]=>[-2,-4,5,-1,3]
[-5,-1,-3,2,-4]=>[-2,5,3,-1,4]
[-5,-1,-3,-2,4]=>[-2,-3,5,-4,-1]
[-5,-1,-3,-2,-4]=>[5,4,2,3,1]
[5,1,3,4,2]=>[4,-5,2,3,1]
[5,1,3,4,-2]=>[4,-1,2,3,-5]
[5,1,3,-4,2]=>[4,-3,2,-5,1]
[5,1,3,-4,-2]=>[4,-1,2,-5,-3]
[5,1,-3,4,2]=>[4,-2,-5,3,1]
[5,1,-3,4,-2]=>[3,-1,-5,2,-4]
[5,1,-3,-4,2]=>[3,-2,-4,-5,1]
[5,1,-3,-4,-2]=>[2,-1,-4,-5,-3]
[5,-1,3,4,2]=>[3,2,-5,1,-4]
[5,-1,3,4,-2]=>[-4,2,-3,1,-5]
[5,-1,3,-4,2]=>[-5,1,-3,4,-2]
[5,-1,3,-4,-2]=>[-2,4,-1,-5,-3]
[5,-1,-3,4,2]=>[-5,4,3,-2,-1]
[5,-1,-3,4,-2]=>[-3,-5,1,-2,-4]
[5,-1,-3,-4,2]=>[-2,-4,-5,3,-1]
[5,-1,-3,-4,-2]=>[-1,-2,-4,-5,-3]
[-5,1,3,4,2]=>[5,-4,2,3,1]
[-5,1,3,4,-2]=>[5,-1,2,3,-4]
[-5,1,3,-4,2]=>[4,-3,2,5,1]
[-5,1,3,-4,-2]=>[4,-1,2,5,-3]
[-5,1,-3,4,2]=>[5,-2,-4,3,1]
[-5,1,-3,4,-2]=>[5,-1,-4,2,-3]
[-5,1,-3,-4,2]=>[3,-2,5,4,1]
[-5,1,-3,-4,-2]=>[2,-1,4,3,5]
[-5,-1,3,4,2]=>[5,2,-4,1,-3]
[-5,-1,3,4,-2]=>[-3,5,-2,1,-4]
[-5,-1,3,-4,2]=>[5,1,-3,4,-2]
[-5,-1,3,-4,-2]=>[-2,4,-1,5,-3]
[-5,-1,-3,4,2]=>[-4,5,3,-2,-1]
[-5,-1,-3,4,-2]=>[-2,-4,5,-1,-3]
[-5,-1,-3,-4,2]=>[-2,5,4,3,-1]
[-5,-1,-3,-4,-2]=>[5,4,2,1,3]
[5,1,4,2,3]=>[4,-5,3,1,2]
[5,1,4,2,-3]=>[4,-2,3,1,-5]
[5,1,4,-2,3]=>[4,-1,3,-5,2]
[5,1,4,-2,-3]=>[3,-1,2,-4,-5]
[5,1,-4,2,3]=>[4,-3,-5,1,2]
[5,1,-4,2,-3]=>[3,-2,-5,1,-4]
[5,1,-4,-2,3]=>[4,-1,-5,-3,2]
[5,1,-4,-2,-3]=>[2,-1,-5,-3,-4]
[5,-1,4,2,3]=>[3,2,-5,-4,1]
[5,-1,4,2,-3]=>[4,3,-2,-1,-5]
[5,-1,4,-2,3]=>[-5,1,-4,2,-3]
[5,-1,4,-2,-3]=>[-3,1,-2,-4,-5]
[5,-1,-4,2,3]=>[-3,-5,4,-2,1]
[5,-1,-4,2,-3]=>[-2,-5,3,-1,-4]
[5,-1,-4,-2,3]=>[-2,-3,4,-5,-1]
[5,-1,-4,-2,-3]=>[-1,-2,-5,-3,-4]
[-5,1,4,2,3]=>[5,-4,3,1,2]
[-5,1,4,2,-3]=>[5,-2,3,1,-4]
[-5,1,4,-2,3]=>[5,-1,3,-4,2]
[-5,1,4,-2,-3]=>[5,-1,2,-3,-4]
[-5,1,-4,2,3]=>[4,-3,5,1,2]
[-5,1,-4,2,-3]=>[3,-2,4,1,5]
[-5,1,-4,-2,3]=>[4,-1,5,-3,2]
[-5,1,-4,-2,-3]=>[2,-1,3,5,4]
[-5,-1,4,2,3]=>[5,2,-4,-3,1]
[-5,-1,4,2,-3]=>[5,3,-2,-1,-4]
[-5,-1,4,-2,3]=>[-4,1,-3,5,-2]
[-5,-1,4,-2,-3]=>[-2,5,-1,-3,-4]
[-5,-1,-4,2,3]=>[-3,5,4,-2,1]
[-5,-1,-4,2,-3]=>[-2,4,3,-1,5]
[-5,-1,-4,-2,3]=>[-2,-3,4,5,-1]
[-5,-1,-4,-2,-3]=>[5,4,1,3,2]
[5,1,4,3,2]=>[4,-5,3,2,1]
[5,1,4,3,-2]=>[4,-1,3,2,-5]
[5,1,4,-3,2]=>[4,-2,3,-5,1]
[5,1,4,-3,-2]=>[3,-1,2,-5,-4]
[5,1,-4,3,2]=>[4,-3,-5,2,1]
[5,1,-4,3,-2]=>[4,-1,-5,2,-3]
[5,1,-4,-3,2]=>[3,-2,-5,-4,1]
[5,1,-4,-3,-2]=>[2,-1,-5,-4,-3]
[5,-1,4,3,2]=>[2,1,3,-5,-4]
[5,-1,4,3,-2]=>[2,1,-4,-3,-5]
[5,-1,4,-3,2]=>[-5,3,-2,4,-1]
[5,-1,4,-3,-2]=>[-3,1,-2,-5,-4]
[5,-1,-4,3,2]=>[-5,4,1,-3,-2]
[5,-1,-4,3,-2]=>[-2,-5,4,-1,-3]
[5,-1,-4,-3,2]=>[-2,-4,3,-5,-1]
[5,-1,-4,-3,-2]=>[-1,-2,-5,-4,-3]
[-5,1,4,3,2]=>[5,-4,3,2,1]
[-5,1,4,3,-2]=>[5,-1,3,2,-4]
[-5,1,4,-3,2]=>[5,-2,3,-4,1]
[-5,1,4,-3,-2]=>[5,-1,2,-4,-3]
[-5,1,-4,3,2]=>[4,-3,5,2,1]
[-5,1,-4,3,-2]=>[4,-1,5,2,-3]
[-5,1,-4,-3,2]=>[3,-2,4,5,1]
[-5,1,-4,-3,-2]=>[2,-1,3,4,5]
[-5,-1,4,3,2]=>[2,1,5,-4,-3]
[-5,-1,4,3,-2]=>[5,1,-3,-2,-4]
[-5,-1,4,-3,2]=>[-4,3,-2,5,-1]
[-5,-1,4,-3,-2]=>[-2,5,-1,-4,-3]
[-5,-1,-4,3,2]=>[5,4,1,-3,-2]
[-5,-1,-4,3,-2]=>[-2,5,4,-1,-3]
[-5,-1,-4,-3,2]=>[-2,5,3,4,-1]
[-5,-1,-4,-3,-2]=>[5,4,1,2,3]
[5,2,1,3,4]=>[1,4,-5,2,3]
[5,2,1,3,-4]=>[1,4,-3,2,-5]
[5,2,1,-3,4]=>[1,4,-2,-5,3]
[5,2,1,-3,-4]=>[1,3,-2,-4,-5]
[5,2,-1,3,4]=>[3,-4,-5,1,2]
[5,2,-1,3,-4]=>[4,-2,-3,1,-5]
[5,2,-1,-3,4]=>[4,-1,-2,-5,3]
[5,2,-1,-3,-4]=>[3,-1,-2,-4,-5]
[5,-2,1,3,4]=>[-5,4,-1,2,3]
[5,-2,1,3,-4]=>[-3,4,-1,2,-5]
[5,-2,1,-3,4]=>[-4,3,-1,-5,2]
[5,-2,1,-3,-4]=>[-3,2,-1,-4,-5]
[5,-2,-1,3,4]=>[-4,2,-5,-3,1]
[5,-2,-1,3,-4]=>[-2,4,-3,-1,-5]
[5,-2,-1,-3,4]=>[-3,-5,-4,1,-2]
[5,-2,-1,-3,-4]=>[-1,-3,-2,-4,-5]
[-5,2,1,3,4]=>[1,5,-4,2,3]
[-5,2,1,3,-4]=>[1,4,-3,2,5]
[-5,2,1,-3,4]=>[1,5,-2,-4,3]
[-5,2,1,-3,-4]=>[1,3,-2,5,4]
[-5,2,-1,3,4]=>[5,-3,-4,1,2]
[-5,2,-1,3,-4]=>[4,-2,-3,1,5]
[-5,2,-1,-3,4]=>[5,-1,-2,-4,3]
[-5,2,-1,-3,-4]=>[3,-1,-2,5,4]
[-5,-2,1,3,4]=>[-4,5,-1,2,3]
[-5,-2,1,3,-4]=>[-3,4,-1,2,5]
[-5,-2,1,-3,4]=>[-3,5,-1,-4,2]
[-5,-2,1,-3,-4]=>[5,2,-1,4,3]
[-5,-2,-1,3,4]=>[-3,5,-4,-2,1]
[-5,-2,-1,3,-4]=>[-2,4,-3,-1,5]
[-5,-2,-1,-3,4]=>[-2,-4,-3,5,-1]
[-5,-2,-1,-3,-4]=>[5,3,4,2,1]
[5,2,1,4,3]=>[1,4,-5,3,2]
[5,2,1,4,-3]=>[1,4,-2,3,-5]
[5,2,1,-4,3]=>[1,4,-3,-5,2]
[5,2,1,-4,-3]=>[1,3,-2,-5,-4]
[5,2,-1,4,3]=>[3,-4,-5,2,1]
[5,2,-1,4,-3]=>[4,-1,-2,3,-5]
[5,2,-1,-4,3]=>[4,-2,-3,-5,1]
[5,2,-1,-4,-3]=>[3,-1,-2,-5,-4]
[5,-2,1,4,3]=>[-5,4,-1,3,2]
[5,-2,1,4,-3]=>[-4,3,-1,2,-5]
[5,-2,1,-4,3]=>[-3,4,-1,-5,2]
[5,-2,1,-4,-3]=>[-3,2,-1,-5,-4]
[5,-2,-1,4,3]=>[-5,1,2,-4,-3]
[5,-2,-1,4,-3]=>[-3,1,-4,-2,-5]
[5,-2,-1,-4,3]=>[-2,-5,-3,4,-1]
[5,-2,-1,-4,-3]=>[-1,-3,-2,-5,-4]
[-5,2,1,4,3]=>[1,5,-4,3,2]
[-5,2,1,4,-3]=>[1,5,-2,3,-4]
[-5,2,1,-4,3]=>[1,4,-3,5,2]
[-5,2,1,-4,-3]=>[1,3,-2,4,5]
[-5,2,-1,4,3]=>[5,-3,-4,2,1]
[-5,2,-1,4,-3]=>[5,-1,-2,3,-4]
[-5,2,-1,-4,3]=>[4,-2,-3,5,1]
[-5,2,-1,-4,-3]=>[3,-1,-2,4,5]
[-5,-2,1,4,3]=>[-4,5,-1,3,2]
[-5,-2,1,4,-3]=>[-3,5,-1,2,-4]
[-5,-2,1,-4,3]=>[-3,4,-1,5,2]
[-5,-2,1,-4,-3]=>[5,2,-1,3,4]
[-5,-2,-1,4,3]=>[-4,1,5,-3,-2]
[-5,-2,-1,4,-3]=>[-2,5,-3,-1,-4]
[-5,-2,-1,-4,3]=>[-2,5,-3,4,-1]
[-5,-2,-1,-4,-3]=>[5,3,4,1,2]
[5,2,3,1,4]=>[2,4,1,-5,3]
[5,2,3,1,-4]=>[2,4,1,-3,-5]
[5,2,3,-1,4]=>[3,-4,1,-5,2]
[5,2,3,-1,-4]=>[4,-2,1,-3,-5]
[5,2,-3,1,4]=>[1,-5,4,-2,3]
[5,2,-3,1,-4]=>[1,-4,3,-2,-5]
[5,2,-3,-1,4]=>[4,-1,-5,-2,3]
[5,2,-3,-1,-4]=>[3,-1,-4,-2,-5]
[5,-2,3,1,4]=>[4,2,-5,-1,3]
[5,-2,3,1,-4]=>[4,2,-3,-1,-5]
[5,-2,3,-1,4]=>[-5,2,-3,-4,1]
[5,-2,3,-1,-4]=>[-3,4,-1,-2,-5]
[5,-2,-3,1,4]=>[-4,-5,3,-1,2]
[5,-2,-3,1,-4]=>[-3,-4,2,-1,-5]
[5,-2,-3,-1,4]=>[-3,-5,1,-4,-2]
[5,-2,-3,-1,-4]=>[-1,-3,-4,-2,-5]
[-5,2,3,1,4]=>[2,5,1,-4,3]
[-5,2,3,1,-4]=>[2,4,1,-3,5]
[-5,2,3,-1,4]=>[5,-3,1,-4,2]
[-5,2,3,-1,-4]=>[4,-2,1,-3,5]
[-5,2,-3,1,4]=>[1,-4,5,-2,3]
[-5,2,-3,1,-4]=>[1,5,3,-2,4]
[-5,2,-3,-1,4]=>[5,-1,-4,-2,3]
[-5,2,-3,-1,-4]=>[3,-1,5,-2,4]
[-5,-2,3,1,4]=>[5,2,-4,-1,3]
[-5,-2,3,1,-4]=>[4,2,-3,-1,5]
[-5,-2,3,-1,4]=>[-4,5,-2,-3,1]
[-5,-2,3,-1,-4]=>[-3,4,-1,-2,5]
[-5,-2,-3,1,4]=>[-3,-4,5,-1,2]
[-5,-2,-3,1,-4]=>[5,4,2,-1,3]
[-5,-2,-3,-1,4]=>[-2,-4,5,-3,-1]
[-5,-2,-3,-1,-4]=>[5,3,2,4,1]
[5,2,3,4,1]=>[3,4,1,2,-5]
[5,2,3,4,-1]=>[3,-4,1,2,-5]
[5,2,3,-4,1]=>[2,-5,1,4,-3]
[5,2,3,-4,-1]=>[4,-2,1,-5,-3]
[5,2,-3,4,1]=>[3,-5,4,1,-2]
[5,2,-3,4,-1]=>[4,-1,-5,3,-2]
[5,2,-3,-4,1]=>[1,-4,-5,3,-2]
[5,2,-3,-4,-1]=>[3,-1,-4,-5,-2]
[5,-2,3,4,1]=>[4,3,-5,2,-1]
[5,-2,3,4,-1]=>[-5,2,-3,1,-4]
[5,-2,3,-4,1]=>[-5,2,-3,4,-1]
[5,-2,3,-4,-1]=>[-3,4,-1,-5,-2]
[5,-2,-3,4,1]=>[-5,3,2,-4,-1]
[5,-2,-3,4,-1]=>[-4,-5,1,-2,-3]
[5,-2,-3,-4,1]=>[-3,-4,-5,2,-1]
[5,-2,-3,-4,-1]=>[-1,-3,-4,-5,-2]
[-5,2,3,4,1]=>[3,5,1,2,-4]
[-5,2,3,4,-1]=>[5,-3,1,2,-4]
[-5,2,3,-4,1]=>[2,5,1,4,-3]
[-5,2,3,-4,-1]=>[4,-2,1,5,-3]
[-5,2,-3,4,1]=>[3,-4,5,1,-2]
[-5,2,-3,4,-1]=>[5,-1,-4,3,-2]
[-5,2,-3,-4,1]=>[1,5,4,3,-2]
[-5,2,-3,-4,-1]=>[3,-1,5,4,-2]
[-5,-2,3,4,1]=>[5,3,-4,2,-1]
[-5,-2,3,4,-1]=>[-4,5,-2,1,-3]
[-5,-2,3,-4,1]=>[5,2,-3,4,-1]
[-5,-2,3,-4,-1]=>[-3,4,-1,5,-2]
[-5,-2,-3,4,1]=>[-4,5,2,-3,-1]
[-5,-2,-3,4,-1]=>[-3,-4,5,-1,-2]
[-5,-2,-3,-4,1]=>[5,4,3,2,-1]
[-5,-2,-3,-4,-1]=>[5,3,2,1,4]
[5,2,4,1,3]=>[3,4,1,-5,2]
[5,2,4,1,-3]=>[3,4,1,-2,-5]
[5,2,4,-1,3]=>[3,-4,2,-5,1]
[5,2,4,-1,-3]=>[4,-1,3,-2,-5]
[5,2,-4,1,3]=>[1,-5,4,-3,2]
[5,2,-4,1,-3]=>[1,-5,3,-2,-4]
[5,2,-4,-1,3]=>[4,-2,-5,-3,1]
[5,2,-4,-1,-3]=>[3,-1,-5,-2,-4]
[5,-2,4,1,3]=>[4,3,-5,-1,2]
[5,-2,4,1,-3]=>[3,2,-4,-1,-5]
[5,-2,4,-1,3]=>[2,1,-4,-5,-3]
[5,-2,4,-1,-3]=>[-4,1,-2,-3,-5]
[5,-2,-4,1,3]=>[-3,-5,4,-1,2]
[5,-2,-4,1,-3]=>[-3,-5,2,-1,-4]
[5,-2,-4,-1,3]=>[-2,-5,4,-3,-1]
[5,-2,-4,-1,-3]=>[-1,-3,-5,-2,-4]
[-5,2,4,1,3]=>[3,5,1,-4,2]
[-5,2,4,1,-3]=>[3,5,1,-2,-4]
[-5,2,4,-1,3]=>[5,-3,2,-4,1]
[-5,2,4,-1,-3]=>[5,-1,3,-2,-4]
[-5,2,-4,1,3]=>[1,5,4,-3,2]
[-5,2,-4,1,-3]=>[1,4,3,-2,5]
[-5,2,-4,-1,3]=>[4,-2,5,-3,1]
[-5,2,-4,-1,-3]=>[3,-1,4,-2,5]
[-5,-2,4,1,3]=>[5,3,-4,-1,2]
[-5,-2,4,1,-3]=>[5,2,-3,-1,-4]
[-5,-2,4,-1,3]=>[5,1,-3,-4,-2]
[-5,-2,4,-1,-3]=>[-3,5,-1,-2,-4]
[-5,-2,-4,1,3]=>[-3,5,4,-1,2]
[-5,-2,-4,1,-3]=>[5,3,2,-1,4]
[-5,-2,-4,-1,3]=>[-2,5,4,-3,-1]
[-5,-2,-4,-1,-3]=>[5,3,1,4,2]
[5,2,4,3,1]=>[3,4,2,1,-5]
[5,2,4,3,-1]=>[3,-4,2,1,-5]
[5,2,4,-3,1]=>[3,-5,1,4,-2]
[5,2,4,-3,-1]=>[4,-1,3,-5,-2]
[5,2,-4,3,1]=>[2,-5,4,1,-3]
[5,2,-4,3,-1]=>[4,-2,-5,1,-3]
[5,2,-4,-3,1]=>[1,-4,3,-5,-2]
[5,2,-4,-3,-1]=>[3,-1,-5,-4,-2]
[5,-2,4,3,1]=>[3,2,4,-5,-1]
[5,-2,4,3,-1]=>[2,1,-5,-3,-4]
[5,-2,4,-3,1]=>[-5,2,-4,3,-1]
[5,-2,4,-3,-1]=>[-4,1,-2,-5,-3]
[5,-2,-4,3,1]=>[-5,4,2,-3,-1]
[5,-2,-4,3,-1]=>[-3,-5,4,-1,-2]
[5,-2,-4,-3,1]=>[-3,-4,2,-5,-1]
[5,-2,-4,-3,-1]=>[-1,-3,-5,-4,-2]
[-5,2,4,3,1]=>[3,5,2,1,-4]
[-5,2,4,3,-1]=>[5,-3,2,1,-4]
[-5,2,4,-3,1]=>[3,-4,1,5,-2]
[-5,2,4,-3,-1]=>[5,-1,3,-4,-2]
[-5,2,-4,3,1]=>[2,5,4,1,-3]
[-5,2,-4,3,-1]=>[4,-2,5,1,-3]
[-5,2,-4,-3,1]=>[1,5,3,4,-2]
[-5,2,-4,-3,-1]=>[3,-1,4,5,-2]
[-5,-2,4,3,1]=>[3,2,5,-4,-1]
[-5,-2,4,3,-1]=>[5,1,-4,-2,-3]
[-5,-2,4,-3,1]=>[-4,2,-3,5,-1]
[-5,-2,4,-3,-1]=>[-3,5,-1,-4,-2]
[-5,-2,-4,3,1]=>[5,4,2,-3,-1]
[-5,-2,-4,3,-1]=>[-3,5,4,-1,-2]
[-5,-2,-4,-3,1]=>[5,4,2,3,-1]
[-5,-2,-4,-3,-1]=>[5,3,1,2,4]
[5,3,1,2,4]=>[2,4,-5,1,3]
[5,3,1,2,-4]=>[2,4,-3,1,-5]
[5,3,1,-2,4]=>[2,4,-1,-5,3]
[5,3,1,-2,-4]=>[2,4,-1,-3,-5]
[5,3,-1,2,4]=>[1,-5,3,-4,2]
[5,3,-1,2,-4]=>[1,-3,4,-2,-5]
[5,3,-1,-2,4]=>[2,-3,-4,-5,1]
[5,3,-1,-2,-4]=>[4,-1,-2,-3,-5]
[5,-3,1,2,4]=>[-5,4,-2,1,3]
[5,-3,1,2,-4]=>[-4,3,-2,1,-5]
[5,-3,1,-2,4]=>[-5,3,-1,-4,2]
[5,-3,1,-2,-4]=>[-4,2,-1,-3,-5]
[5,-3,-1,2,4]=>[-2,4,-5,-1,3]
[5,-3,-1,2,-4]=>[-2,3,-4,-1,-5]
[5,-3,-1,-2,4]=>[-3,1,-4,-5,-2]
[5,-3,-1,-2,-4]=>[-1,-4,-2,-3,-5]
[-5,3,1,2,4]=>[2,5,-4,1,3]
[-5,3,1,2,-4]=>[2,4,-3,1,5]
[-5,3,1,-2,4]=>[2,5,-1,-4,3]
[-5,3,1,-2,-4]=>[2,4,-1,-3,5]
[-5,3,-1,2,4]=>[1,-4,5,-3,2]
[-5,3,-1,2,-4]=>[1,-3,4,-2,5]
[-5,3,-1,-2,4]=>[5,-2,-3,-4,1]
[-5,3,-1,-2,-4]=>[4,-1,-2,-3,5]
[-5,-3,1,2,4]=>[-4,5,-2,1,3]
[-5,-3,1,2,-4]=>[5,3,-2,1,4]
[-5,-3,1,-2,4]=>[-4,5,-1,-3,2]
[-5,-3,1,-2,-4]=>[4,2,-1,5,3]
[-5,-3,-1,2,4]=>[-2,5,-4,-1,3]
[-5,-3,-1,2,-4]=>[-2,3,5,-1,4]
[-5,-3,-1,-2,4]=>[-2,5,-3,-4,-1]
[-5,-3,-1,-2,-4]=>[5,2,4,3,1]
[5,3,1,4,2]=>[2,4,-5,3,1]
[5,3,1,4,-2]=>[2,4,-1,3,-5]
[5,3,1,-4,2]=>[2,4,-3,-5,1]
[5,3,1,-4,-2]=>[2,4,-1,-5,-3]
[5,3,-1,4,2]=>[2,-5,3,1,-4]
[5,3,-1,4,-2]=>[2,-3,-4,1,-5]
[5,3,-1,-4,2]=>[1,-3,-5,4,-2]
[5,3,-1,-4,-2]=>[4,-1,-2,-5,-3]
[5,-3,1,4,2]=>[-5,4,-2,3,1]
[5,-3,1,4,-2]=>[-5,3,-1,2,-4]
[5,-3,1,-4,2]=>[-4,3,-2,-5,1]
[5,-3,1,-4,-2]=>[-4,2,-1,-5,-3]
[5,-3,-1,4,2]=>[-5,3,4,-2,-1]
[5,-3,-1,4,-2]=>[-3,1,-5,-2,-4]
[5,-3,-1,-4,2]=>[-2,-5,-4,3,-1]
[5,-3,-1,-4,-2]=>[-1,-4,-2,-5,-3]
[-5,3,1,4,2]=>[2,5,-4,3,1]
[-5,3,1,4,-2]=>[2,5,-1,3,-4]
[-5,3,1,-4,2]=>[2,4,-3,5,1]
[-5,3,1,-4,-2]=>[2,4,-1,5,-3]
[-5,3,-1,4,2]=>[2,-4,5,1,-3]
[-5,3,-1,4,-2]=>[5,-2,-3,1,-4]
[-5,3,-1,-4,2]=>[1,-3,5,4,-2]
[-5,3,-1,-4,-2]=>[4,-1,-2,5,-3]
[-5,-3,1,4,2]=>[-4,5,-2,3,1]
[-5,-3,1,4,-2]=>[-4,5,-1,2,-3]
[-5,-3,1,-4,2]=>[5,3,-2,4,1]
[-5,-3,1,-4,-2]=>[4,2,-1,3,5]
[-5,-3,-1,4,2]=>[-4,3,5,-2,-1]
[-5,-3,-1,4,-2]=>[-2,5,-4,-1,-3]
[-5,-3,-1,-4,2]=>[-2,4,5,3,-1]
[-5,-3,-1,-4,-2]=>[5,2,4,1,3]
[5,3,2,1,4]=>[1,2,4,-5,3]
[5,3,2,1,-4]=>[1,2,4,-3,-5]
[5,3,2,-1,4]=>[1,3,-4,-5,2]
[5,3,2,-1,-4]=>[1,4,-2,-3,-5]
[5,3,-2,1,4]=>[2,-5,4,-1,3]
[5,3,-2,1,-4]=>[2,-3,4,-1,-5]
[5,3,-2,-1,4]=>[2,-3,-5,-4,1]
[5,3,-2,-1,-4]=>[4,-1,-3,-2,-5]
[5,-3,2,1,4]=>[4,1,-5,-2,3]
[5,-3,2,1,-4]=>[3,1,-4,-2,-5]
[5,-3,2,-1,4]=>[-5,4,-1,-2,3]
[5,-3,2,-1,-4]=>[-4,3,-1,-2,-5]
[5,-3,-2,1,4]=>[-4,3,-5,-1,2]
[5,-3,-2,1,-4]=>[-3,2,-4,-1,-5]
[5,-3,-2,-1,4]=>[-3,1,-5,-4,-2]
[5,-3,-2,-1,-4]=>[-1,-4,-3,-2,-5]
[-5,3,2,1,4]=>[1,2,5,-4,3]
[-5,3,2,1,-4]=>[1,2,4,-3,5]
[-5,3,2,-1,4]=>[1,5,-3,-4,2]
[-5,3,2,-1,-4]=>[1,4,-2,-3,5]
[-5,3,-2,1,4]=>[2,-4,5,-1,3]
[-5,3,-2,1,-4]=>[2,-3,4,-1,5]
[-5,3,-2,-1,4]=>[5,-2,-4,-3,1]
[-5,3,-2,-1,-4]=>[4,-1,-3,-2,5]
[-5,-3,2,1,4]=>[5,1,-4,-2,3]
[-5,-3,2,1,-4]=>[3,1,5,-2,4]
[-5,-3,2,-1,4]=>[-4,5,-1,-2,3]
[-5,-3,2,-1,-4]=>[5,3,-1,-2,4]
[-5,-3,-2,1,4]=>[-3,5,-4,-1,2]
[-5,-3,-2,1,-4]=>[5,2,4,-1,3]
[-5,-3,-2,-1,4]=>[-2,5,-4,-3,-1]
[-5,-3,-2,-1,-4]=>[5,2,3,4,1]
[5,3,2,4,1]=>[1,3,4,2,-5]
[5,3,2,4,-1]=>[1,3,-4,2,-5]
[5,3,2,-4,1]=>[1,2,-5,4,-3]
[5,3,2,-4,-1]=>[1,4,-2,-5,-3]
[5,3,-2,4,1]=>[3,-5,4,2,-1]
[5,3,-2,4,-1]=>[2,-3,-5,1,-4]
[5,3,-2,-4,1]=>[2,-3,-5,4,-1]
[5,3,-2,-4,-1]=>[4,-1,-3,-5,-2]
[5,-3,2,4,1]=>[4,3,-5,1,-2]
[5,-3,2,4,-1]=>[-5,4,-1,3,-2]
[5,-3,2,-4,1]=>[-5,1,-4,3,-2]
[5,-3,2,-4,-1]=>[-4,3,-1,-5,-2]
[5,-3,-2,4,1]=>[-5,2,3,-4,-1]
[5,-3,-2,4,-1]=>[-4,1,-5,-2,-3]
[5,-3,-2,-4,1]=>[-3,-5,-4,2,-1]
[5,-3,-2,-4,-1]=>[-1,-4,-3,-5,-2]
[-5,3,2,4,1]=>[1,3,5,2,-4]
[-5,3,2,4,-1]=>[1,5,-3,2,-4]
[-5,3,2,-4,1]=>[1,2,5,4,-3]
[-5,3,2,-4,-1]=>[1,4,-2,5,-3]
[-5,3,-2,4,1]=>[3,-4,5,2,-1]
[-5,3,-2,4,-1]=>[5,-2,-4,1,-3]
[-5,3,-2,-4,1]=>[2,-3,5,4,-1]
[-5,3,-2,-4,-1]=>[4,-1,-3,5,-2]
[-5,-3,2,4,1]=>[5,3,-4,1,-2]
[-5,-3,2,4,-1]=>[-4,5,-1,3,-2]
[-5,-3,2,-4,1]=>[4,1,5,3,-2]
[-5,-3,2,-4,-1]=>[5,3,-1,4,-2]
[-5,-3,-2,4,1]=>[-4,2,5,-3,-1]
[-5,-3,-2,4,-1]=>[-3,5,-4,-1,-2]
[-5,-3,-2,-4,1]=>[5,3,4,2,-1]
[-5,-3,-2,-4,-1]=>[5,2,3,1,4]
[5,3,4,1,2]=>[3,4,2,-5,1]
[5,3,4,1,-2]=>[3,4,2,-1,-5]
[5,3,4,-1,2]=>[2,-5,1,3,-4]
[5,3,4,-1,-2]=>[2,-3,1,-4,-5]
[5,3,-4,1,2]=>[2,-5,4,-3,1]
[5,3,-4,1,-2]=>[2,-5,4,-1,-3]
[5,3,-4,-1,2]=>[1,-3,4,-5,-2]
[5,3,-4,-1,-2]=>[4,-1,-5,-2,-3]
[5,-3,4,1,2]=>[4,3,-5,-2,1]
[5,-3,4,1,-2]=>[3,2,-5,-1,-4]
[5,-3,4,-1,2]=>[4,3,-2,-5,-1]
[5,-3,4,-1,-2]=>[-5,1,-2,-3,-4]
[5,-3,-4,1,2]=>[-4,-5,3,-2,1]
[5,-3,-4,1,-2]=>[-4,-5,2,-1,-3]
[5,-3,-4,-1,2]=>[-2,-5,3,-4,-1]
[5,-3,-4,-1,-2]=>[-1,-4,-5,-2,-3]
[-5,3,4,1,2]=>[3,5,2,-4,1]
[-5,3,4,1,-2]=>[3,5,2,-1,-4]
[-5,3,4,-1,2]=>[2,-4,1,5,-3]
[-5,3,4,-1,-2]=>[5,-2,1,-3,-4]
[-5,3,-4,1,2]=>[2,5,4,-3,1]
[-5,3,-4,1,-2]=>[2,5,4,-1,-3]
[-5,3,-4,-1,2]=>[1,-3,4,5,-2]
[-5,3,-4,-1,-2]=>[4,-1,5,-2,-3]
[-5,-3,4,1,2]=>[5,3,-4,-2,1]
[-5,-3,4,1,-2]=>[5,2,-4,-1,-3]
[-5,-3,4,-1,2]=>[5,3,-2,-4,-1]
[-5,-3,4,-1,-2]=>[-4,5,-1,-2,-3]
[-5,-3,-4,1,2]=>[5,4,3,-2,1]
[-5,-3,-4,1,-2]=>[4,3,2,-1,5]
[-5,-3,-4,-1,2]=>[-2,4,3,5,-1]
[-5,-3,-4,-1,-2]=>[5,2,1,4,3]
[5,3,4,2,1]=>[2,3,1,4,-5]
[5,3,4,2,-1]=>[2,3,1,-4,-5]
[5,3,4,-2,1]=>[3,-5,2,4,-1]
[5,3,4,-2,-1]=>[2,-3,1,-5,-4]
[5,3,-4,2,1]=>[1,4,2,-5,-3]
[5,3,-4,2,-1]=>[1,-5,4,-2,-3]
[5,3,-4,-2,1]=>[2,-3,4,-5,-1]
[5,3,-4,-2,-1]=>[4,-1,-5,-3,-2]
[5,-3,4,2,1]=>[3,1,4,-5,-2]
[5,-3,4,2,-1]=>[4,3,-5,-1,-2]
[5,-3,4,-2,1]=>[3,2,-4,-5,-1]
[5,-3,4,-2,-1]=>[-5,1,-2,-4,-3]
[5,-3,-4,2,1]=>[-5,3,1,-4,-2]
[5,-3,-4,2,-1]=>[-4,-5,3,-1,-2]
[5,-3,-4,-2,1]=>[-3,-5,2,-4,-1]
[5,-3,-4,-2,-1]=>[-1,-4,-5,-3,-2]
[-5,3,4,2,1]=>[2,3,1,5,-4]
[-5,3,4,2,-1]=>[2,5,1,-3,-4]
[-5,3,4,-2,1]=>[3,-4,2,5,-1]
[-5,3,4,-2,-1]=>[5,-2,1,-4,-3]
[-5,3,-4,2,1]=>[1,4,2,5,-3]
[-5,3,-4,2,-1]=>[1,5,4,-2,-3]
[-5,3,-4,-2,1]=>[2,-3,4,5,-1]
[-5,3,-4,-2,-1]=>[4,-1,5,-3,-2]
[-5,-3,4,2,1]=>[3,1,5,-4,-2]
[-5,-3,4,2,-1]=>[5,3,-4,-1,-2]
[-5,-3,4,-2,1]=>[5,2,-3,-4,-1]
[-5,-3,4,-2,-1]=>[-4,5,-1,-3,-2]
[-5,-3,-4,2,1]=>[4,3,1,5,-2]
[-5,-3,-4,2,-1]=>[5,4,3,-1,-2]
[-5,-3,-4,-2,1]=>[5,3,2,4,-1]
[-5,-3,-4,-2,-1]=>[5,2,1,3,4]
[5,4,1,2,3]=>[3,4,-5,1,2]
[5,4,1,2,-3]=>[3,4,-2,1,-5]
[5,4,1,-2,3]=>[3,4,-1,-5,2]
[5,4,1,-2,-3]=>[2,3,-1,-4,-5]
[5,4,-1,2,3]=>[2,-5,3,-4,1]
[5,4,-1,2,-3]=>[3,-2,4,-1,-5]
[5,4,-1,-2,3]=>[1,-4,-5,2,-3]
[5,4,-1,-2,-3]=>[1,-2,-3,-4,-5]
[5,-4,1,2,3]=>[-5,4,-3,1,2]
[5,-4,1,2,-3]=>[-5,3,-2,1,-4]
[5,-4,1,-2,3]=>[-5,4,-1,-3,2]
[5,-4,1,-2,-3]=>[-5,2,-1,-3,-4]
[5,-4,-1,2,3]=>[-3,4,-5,-2,1]
[5,-4,-1,2,-3]=>[-2,3,-5,-1,-4]
[5,-4,-1,-2,3]=>[-2,4,-3,-5,-1]
[5,-4,-1,-2,-3]=>[-1,-5,-2,-3,-4]
[-5,4,1,2,3]=>[3,5,-4,1,2]
[-5,4,1,2,-3]=>[3,5,-2,1,-4]
[-5,4,1,-2,3]=>[3,5,-1,-4,2]
[-5,4,1,-2,-3]=>[2,5,-1,-3,-4]
[-5,4,-1,2,3]=>[2,-4,5,-3,1]
[-5,4,-1,2,-3]=>[3,-2,5,-1,-4]
[-5,4,-1,-2,3]=>[1,-3,-4,5,-2]
[-5,4,-1,-2,-3]=>[5,-1,-2,-3,-4]
[-5,-4,1,2,3]=>[5,4,-3,1,2]
[-5,-4,1,2,-3]=>[4,3,-2,1,5]
[-5,-4,1,-2,3]=>[5,4,-1,-3,2]
[-5,-4,1,-2,-3]=>[3,2,-1,5,4]
[-5,-4,-1,2,3]=>[-3,4,5,-2,1]
[-5,-4,-1,2,-3]=>[-2,3,4,-1,5]
[-5,-4,-1,-2,3]=>[-2,4,-3,5,-1]
[-5,-4,-1,-2,-3]=>[5,1,4,3,2]
[5,4,1,3,2]=>[3,4,-5,2,1]
[5,4,1,3,-2]=>[3,4,-1,2,-5]
[5,4,1,-3,2]=>[3,4,-2,-5,1]
[5,4,1,-3,-2]=>[2,3,-1,-5,-4]
[5,4,-1,3,2]=>[1,3,2,-5,-4]
[5,4,-1,3,-2]=>[1,-4,2,-3,-5]
[5,4,-1,-3,2]=>[3,-2,-5,4,-1]
[5,4,-1,-3,-2]=>[1,-2,-3,-5,-4]
[5,-4,1,3,2]=>[-5,4,-3,2,1]
[5,-4,1,3,-2]=>[-5,4,-1,2,-3]
[5,-4,1,-3,2]=>[-5,3,-2,-4,1]
[5,-4,1,-3,-2]=>[-5,2,-1,-4,-3]
[5,-4,-1,3,2]=>[-5,1,4,-3,-2]
[5,-4,-1,3,-2]=>[-2,4,-5,-1,-3]
[5,-4,-1,-3,2]=>[-2,3,-4,-5,-1]
[5,-4,-1,-3,-2]=>[-1,-5,-2,-4,-3]
[-5,4,1,3,2]=>[3,5,-4,2,1]
[-5,4,1,3,-2]=>[3,5,-1,2,-4]
[-5,4,1,-3,2]=>[3,5,-2,-4,1]
[-5,4,1,-3,-2]=>[2,5,-1,-4,-3]
[-5,4,-1,3,2]=>[1,5,2,-4,-3]
[-5,4,-1,3,-2]=>[1,-3,5,-2,-4]
[-5,4,-1,-3,2]=>[3,-2,-4,5,-1]
[-5,4,-1,-3,-2]=>[5,-1,-2,-4,-3]
[-5,-4,1,3,2]=>[5,4,-3,2,1]
[-5,-4,1,3,-2]=>[5,4,-1,2,-3]
[-5,-4,1,-3,2]=>[4,3,-2,5,1]
[-5,-4,1,-3,-2]=>[3,2,-1,4,5]
[-5,-4,-1,3,2]=>[5,1,4,-3,-2]
[-5,-4,-1,3,-2]=>[-2,4,5,-1,-3]
[-5,-4,-1,-3,2]=>[-2,3,5,4,-1]
[-5,-4,-1,-3,-2]=>[5,1,4,2,3]
[5,4,2,1,3]=>[1,3,4,-5,2]
[5,4,2,1,-3]=>[1,3,4,-2,-5]
[5,4,2,-1,3]=>[2,3,-4,-5,1]
[5,4,2,-1,-3]=>[3,4,-1,-2,-5]
[5,4,-2,1,3]=>[3,-5,4,-1,2]
[5,4,-2,1,-3]=>[2,-4,3,-1,-5]
[5,4,-2,-1,3]=>[1,-4,2,-5,-3]
[5,4,-2,-1,-3]=>[1,-2,-4,-3,-5]
[5,-4,2,1,3]=>[4,1,-5,-3,2]
[5,-4,2,1,-3]=>[3,1,-5,-2,-4]
[5,-4,2,-1,3]=>[-5,4,-2,-3,1]
[5,-4,2,-1,-3]=>[-5,3,-1,-2,-4]
[5,-4,-2,1,3]=>[-3,4,-5,-1,2]
[5,-4,-2,1,-3]=>[-3,2,-5,-1,-4]
[5,-4,-2,-1,3]=>[-2,4,-5,-3,-1]
[5,-4,-2,-1,-3]=>[-1,-5,-3,-2,-4]
[-5,4,2,1,3]=>[1,3,5,-4,2]
[-5,4,2,1,-3]=>[1,3,5,-2,-4]
[-5,4,2,-1,3]=>[2,5,-3,-4,1]
[-5,4,2,-1,-3]=>[3,5,-1,-2,-4]
[-5,4,-2,1,3]=>[3,-4,5,-1,2]
[-5,4,-2,1,-3]=>[2,-3,5,-1,-4]
[-5,4,-2,-1,3]=>[1,-3,5,-4,-2]
[-5,4,-2,-1,-3]=>[5,-1,-3,-2,-4]
[-5,-4,2,1,3]=>[4,1,5,-3,2]
[-5,-4,2,1,-3]=>[3,1,4,-2,5]
[-5,-4,2,-1,3]=>[5,4,-2,-3,1]
[-5,-4,2,-1,-3]=>[4,3,-1,-2,5]
[-5,-4,-2,1,3]=>[-3,4,5,-1,2]
[-5,-4,-2,1,-3]=>[5,2,3,-1,4]
[-5,-4,-2,-1,3]=>[-2,4,5,-3,-1]
[-5,-4,-2,-1,-3]=>[5,1,3,4,2]
[5,4,2,3,1]=>[2,3,4,1,-5]
[5,4,2,3,-1]=>[2,3,-4,1,-5]
[5,4,2,-3,1]=>[1,3,-5,4,-2]
[5,4,2,-3,-1]=>[3,4,-1,-5,-2]
[5,4,-2,3,1]=>[2,4,3,-5,-1]
[5,4,-2,3,-1]=>[1,-5,2,-3,-4]
[5,4,-2,-3,1]=>[2,-4,-5,3,-1]
[5,4,-2,-3,-1]=>[1,-2,-4,-5,-3]
[5,-4,2,3,1]=>[4,2,-5,1,-3]
[5,-4,2,3,-1]=>[-5,4,-2,1,-3]
[5,-4,2,-3,1]=>[3,1,-4,-5,-2]
[5,-4,2,-3,-1]=>[-5,3,-1,-4,-2]
[5,-4,-2,3,1]=>[-5,2,4,-3,-1]
[5,-4,-2,3,-1]=>[-3,4,-5,-1,-2]
[5,-4,-2,-3,1]=>[-3,2,-4,-5,-1]
[5,-4,-2,-3,-1]=>[-1,-5,-3,-4,-2]
[-5,4,2,3,1]=>[2,3,5,1,-4]
[-5,4,2,3,-1]=>[2,5,-3,1,-4]
[-5,4,2,-3,1]=>[1,3,-4,5,-2]
[-5,4,2,-3,-1]=>[3,5,-1,-4,-2]
[-5,4,-2,3,1]=>[2,5,3,-4,-1]
[-5,4,-2,3,-1]=>[1,-4,5,-2,-3]
[-5,4,-2,-3,1]=>[2,-3,-4,5,-1]
[-5,4,-2,-3,-1]=>[5,-1,-3,-4,-2]
[-5,-4,2,3,1]=>[4,2,5,1,-3]
[-5,-4,2,3,-1]=>[5,4,-2,1,-3]
[-5,-4,2,-3,1]=>[3,1,5,4,-2]
[-5,-4,2,-3,-1]=>[4,3,-1,5,-2]
[-5,-4,-2,3,1]=>[5,2,4,-3,-1]
[-5,-4,-2,3,-1]=>[-3,4,5,-1,-2]
[-5,-4,-2,-3,1]=>[5,2,4,3,-1]
[-5,-4,-2,-3,-1]=>[5,1,3,2,4]
[5,4,3,1,2]=>[2,3,4,-5,1]
[5,4,3,1,-2]=>[2,3,4,-1,-5]
[5,4,3,-1,2]=>[1,2,-5,3,-4]
[5,4,3,-1,-2]=>[1,2,-3,-4,-5]
[5,4,-3,1,2]=>[3,-5,4,-2,1]
[5,4,-3,1,-2]=>[2,-5,3,-1,-4]
[5,4,-3,-1,2]=>[3,-2,4,-5,-1]
[5,4,-3,-1,-2]=>[1,-2,-5,-3,-4]
[5,-4,3,1,2]=>[4,2,-5,-3,1]
[5,-4,3,1,-2]=>[4,2,-5,-1,-3]
[5,-4,3,-1,2]=>[4,1,-3,-5,-2]
[5,-4,3,-1,-2]=>[-5,4,-1,-2,-3]
[5,-4,-3,1,2]=>[-4,3,-5,-2,1]
[5,-4,-3,1,-2]=>[-4,2,-5,-1,-3]
[5,-4,-3,-1,2]=>[-2,3,-5,-4,-1]
[5,-4,-3,-1,-2]=>[-1,-5,-4,-2,-3]
[-5,4,3,1,2]=>[2,3,5,-4,1]
[-5,4,3,1,-2]=>[2,3,5,-1,-4]
[-5,4,3,-1,2]=>[1,2,-4,5,-3]
[-5,4,3,-1,-2]=>[1,5,-2,-3,-4]
[-5,4,-3,1,2]=>[3,-4,5,-2,1]
[-5,4,-3,1,-2]=>[2,-4,5,-1,-3]
[-5,4,-3,-1,2]=>[3,-2,5,-4,-1]
[-5,4,-3,-1,-2]=>[5,-1,-4,-2,-3]
[-5,-4,3,1,2]=>[4,2,5,-3,1]
[-5,-4,3,1,-2]=>[4,2,5,-1,-3]
[-5,-4,3,-1,2]=>[4,1,-3,5,-2]
[-5,-4,3,-1,-2]=>[5,4,-1,-2,-3]
[-5,-4,-3,1,2]=>[5,3,4,-2,1]
[-5,-4,-3,1,-2]=>[4,2,3,-1,5]
[-5,-4,-3,-1,2]=>[-2,3,4,5,-1]
[-5,-4,-3,-1,-2]=>[5,1,2,4,3]
[5,4,3,2,1]=>[1,2,3,4,-5]
[5,4,3,2,-1]=>[1,2,3,-4,-5]
[5,4,3,-2,1]=>[2,3,-5,4,-1]
[5,4,3,-2,-1]=>[1,2,-3,-5,-4]
[5,4,-3,2,1]=>[1,4,3,-5,-2]
[5,4,-3,2,-1]=>[3,-5,4,-1,-2]
[5,4,-3,-2,1]=>[2,-4,3,-5,-1]
[5,4,-3,-2,-1]=>[1,-2,-5,-4,-3]
[5,-4,3,2,1]=>[2,1,4,-5,-3]
[5,-4,3,2,-1]=>[4,1,-5,-2,-3]
[5,-4,3,-2,1]=>[4,2,-3,-5,-1]
[5,-4,3,-2,-1]=>[-5,4,-1,-3,-2]
[5,-4,-3,2,1]=>[-5,1,3,-4,-2]
[5,-4,-3,2,-1]=>[-4,3,-5,-1,-2]
[5,-4,-3,-2,1]=>[-3,2,-5,-4,-1]
[5,-4,-3,-2,-1]=>[-1,-5,-4,-3,-2]
[-5,4,3,2,1]=>[1,2,3,5,-4]
[-5,4,3,2,-1]=>[1,2,5,-3,-4]
[-5,4,3,-2,1]=>[2,3,-4,5,-1]
[-5,4,3,-2,-1]=>[1,5,-2,-4,-3]
[-5,4,-3,2,1]=>[1,5,3,-4,-2]
[-5,4,-3,2,-1]=>[3,-4,5,-1,-2]
[-5,4,-3,-2,1]=>[2,-3,5,-4,-1]
[-5,4,-3,-2,-1]=>[5,-1,-4,-3,-2]
[-5,-4,3,2,1]=>[2,1,4,5,-3]
[-5,-4,3,2,-1]=>[4,1,5,-2,-3]
[-5,-4,3,-2,1]=>[4,2,-3,5,-1]
[-5,-4,3,-2,-1]=>[5,4,-1,-3,-2]
[-5,-4,-3,2,1]=>[4,1,3,5,-2]
[-5,-4,-3,2,-1]=>[5,3,4,-1,-2]
[-5,-4,-3,-2,1]=>[5,2,3,4,-1]
[-5,-4,-3,-2,-1]=>[5,1,2,3,4]
[1,2,3,4,5,6]=>[-6,1,2,3,4,5]
[1,2,3,4,6,5]=>[-6,1,2,3,5,4]
[1,2,3,5,4,6]=>[-6,1,2,4,3,5]
[1,2,3,5,6,4]=>[-6,1,2,4,5,3]
[1,2,3,6,4,5]=>[-6,1,2,5,3,4]
[1,2,3,6,5,4]=>[-6,1,2,5,4,3]
[1,2,4,3,5,6]=>[-6,1,3,2,4,5]
[1,2,4,3,6,5]=>[-6,1,3,2,5,4]
[1,2,4,5,3,6]=>[-6,1,3,4,2,5]
[1,2,4,5,6,3]=>[-6,1,3,4,5,2]
[1,2,4,6,3,5]=>[-6,1,3,5,2,4]
[1,2,4,6,5,3]=>[-6,1,3,5,4,2]
[1,2,5,3,4,6]=>[-6,1,4,2,3,5]
[1,2,5,3,6,4]=>[-6,1,4,2,5,3]
[1,2,5,4,3,6]=>[-6,1,4,3,2,5]
[1,2,5,4,6,3]=>[-6,1,4,3,5,2]
[1,2,5,6,3,4]=>[-6,1,4,5,2,3]
[1,2,5,6,4,3]=>[-6,1,4,5,3,2]
[1,2,6,3,4,5]=>[-6,1,5,2,3,4]
[1,2,6,3,5,4]=>[-6,1,5,2,4,3]
[1,2,6,4,3,5]=>[-6,1,5,3,2,4]
[1,2,6,4,5,3]=>[-6,1,5,3,4,2]
[1,2,6,5,3,4]=>[-6,1,5,4,2,3]
[1,2,6,5,4,3]=>[-6,1,5,4,3,2]
[1,3,2,4,5,6]=>[-6,2,1,3,4,5]
[1,3,2,4,6,5]=>[-6,2,1,3,5,4]
[1,3,2,5,4,6]=>[-6,2,1,4,3,5]
[1,3,2,5,6,4]=>[-6,2,1,4,5,3]
[1,3,2,6,4,5]=>[-6,2,1,5,3,4]
[1,3,2,6,5,4]=>[-6,2,1,5,4,3]
[1,3,4,2,5,6]=>[-6,2,3,1,4,5]
[1,3,4,2,6,5]=>[-6,2,3,1,5,4]
[1,3,4,5,2,6]=>[-6,2,3,4,1,5]
[1,3,4,5,6,2]=>[-6,2,3,4,5,1]
[1,3,4,6,2,5]=>[-6,2,3,5,1,4]
[1,3,4,6,5,2]=>[-6,2,3,5,4,1]
[1,3,5,2,4,6]=>[-6,2,4,1,3,5]
[1,3,5,2,6,4]=>[-6,2,4,1,5,3]
[1,3,5,4,2,6]=>[-6,2,4,3,1,5]
[1,3,5,4,6,2]=>[-6,2,4,3,5,1]
[1,3,5,6,2,4]=>[-6,2,4,5,1,3]
[1,3,5,6,4,2]=>[-6,2,4,5,3,1]
[1,3,6,2,4,5]=>[-6,2,5,1,3,4]
[1,3,6,2,5,4]=>[-6,2,5,1,4,3]
[1,3,6,4,5,2]=>[-6,2,5,3,4,1]
[1,3,6,5,4,2]=>[-6,2,5,4,3,1]
[1,4,2,3,5,6]=>[-6,3,1,2,4,5]
[1,4,2,3,6,5]=>[-6,3,1,2,5,4]
[1,4,2,5,3,6]=>[-6,3,1,4,2,5]
[1,4,2,5,6,3]=>[-6,3,1,4,5,2]
[1,4,2,6,3,5]=>[-6,3,1,5,2,4]
[1,4,2,6,5,3]=>[-6,3,1,5,4,2]
[1,4,3,2,5,6]=>[-6,3,2,1,4,5]
[1,4,3,2,6,5]=>[-6,3,2,1,5,4]
[1,4,3,5,2,6]=>[-6,3,2,4,1,5]
[1,4,3,5,6,2]=>[-6,3,2,4,5,1]
[1,4,3,6,5,2]=>[-6,3,2,5,4,1]
[1,4,5,2,3,6]=>[-6,3,4,1,2,5]
[1,4,5,2,6,3]=>[-6,3,4,1,5,2]
[1,4,5,3,2,6]=>[-6,3,4,2,1,5]
[1,4,5,3,6,2]=>[-6,3,4,2,5,1]
[1,4,5,6,2,3]=>[-6,3,4,5,1,2]
[1,4,5,6,3,2]=>[-6,3,4,5,2,1]
[1,4,6,2,3,5]=>[-6,3,5,1,2,4]
[1,4,6,2,5,3]=>[-6,3,5,1,4,2]
[1,4,6,5,2,3]=>[-6,3,5,4,1,2]
[1,4,6,5,3,2]=>[-6,3,5,4,2,1]
[1,5,2,3,4,6]=>[-6,4,1,2,3,5]
[1,5,2,3,6,4]=>[-6,4,1,2,5,3]
[1,5,2,4,3,6]=>[-6,4,1,3,2,5]
[1,5,2,6,3,4]=>[-6,4,1,5,2,3]
[1,5,2,6,4,3]=>[-6,4,1,5,3,2]
[1,5,3,2,4,6]=>[-6,4,2,1,3,5]
[1,5,3,4,2,6]=>[-6,4,2,3,1,5]
[1,5,3,4,6,2]=>[-6,4,2,3,5,1]
[1,5,3,6,4,2]=>[-6,4,2,5,3,1]
[1,5,4,2,3,6]=>[-6,4,3,1,2,5]
[1,5,4,3,2,6]=>[-6,4,3,2,1,5]
[1,5,4,3,6,2]=>[-6,4,3,2,5,1]
[1,5,4,6,2,3]=>[-6,4,3,5,1,2]
[1,5,4,6,3,2]=>[-6,4,3,5,2,1]
[1,5,6,2,3,4]=>[-6,4,5,1,2,3]
[1,5,6,2,4,3]=>[-6,4,5,1,3,2]
[1,5,6,3,2,4]=>[-6,4,5,2,1,3]
[1,5,6,3,4,2]=>[-6,4,5,2,3,1]
[1,5,6,4,2,3]=>[-6,4,5,3,1,2]
[1,5,6,4,3,2]=>[-6,4,5,3,2,1]
[1,6,2,3,4,5]=>[-6,5,1,2,3,4]
[1,6,2,3,5,4]=>[-6,5,1,2,4,3]
[1,6,2,4,3,5]=>[-6,5,1,3,2,4]
[1,6,2,4,5,3]=>[-6,5,1,3,4,2]
[1,6,2,5,3,4]=>[-6,5,1,4,2,3]
[1,6,2,5,4,3]=>[-6,5,1,4,3,2]
[1,6,3,2,4,5]=>[-6,5,2,1,3,4]
[1,6,3,2,5,4]=>[-6,5,2,1,4,3]
[1,6,3,4,2,5]=>[-6,5,2,3,1,4]
[1,6,3,4,5,2]=>[-6,5,2,3,4,1]
[1,6,3,5,4,2]=>[-6,5,2,4,3,1]
[1,6,4,2,3,5]=>[-6,5,3,1,2,4]
[1,6,4,3,2,5]=>[-6,5,3,2,1,4]
[1,6,4,3,5,2]=>[-6,5,3,2,4,1]
[1,6,4,5,2,3]=>[-6,5,3,4,1,2]
[1,6,4,5,3,2]=>[-6,5,3,4,2,1]
[1,6,5,2,3,4]=>[-6,5,4,1,2,3]
[1,6,5,2,4,3]=>[-6,5,4,1,3,2]
[1,6,5,3,2,4]=>[-6,5,4,2,1,3]
[1,6,5,3,4,2]=>[-6,5,4,2,3,1]
[1,6,5,4,2,3]=>[-6,5,4,3,1,2]
[1,6,5,4,3,2]=>[-6,5,4,3,2,1]
[2,1,3,4,5,6]=>[1,-6,2,3,4,5]
[2,1,3,4,6,5]=>[1,-6,2,3,5,4]
[2,1,3,5,4,6]=>[1,-6,2,4,3,5]
[2,1,3,5,6,4]=>[1,-6,2,4,5,3]
[2,1,3,6,4,5]=>[1,-6,2,5,3,4]
[2,1,3,6,5,4]=>[1,-6,2,5,4,3]
[2,1,4,3,5,6]=>[1,-6,3,2,4,5]
[2,1,4,3,6,5]=>[1,-6,3,2,5,4]
[2,1,4,5,3,6]=>[1,-6,3,4,2,5]
[2,1,4,5,6,3]=>[1,-6,3,4,5,2]
[2,1,4,6,3,5]=>[1,-6,3,5,2,4]
[2,1,4,6,5,3]=>[1,-6,3,5,4,2]
[2,1,5,3,4,6]=>[1,-6,4,2,3,5]
[2,1,5,3,6,4]=>[1,-6,4,2,5,3]
[2,1,5,4,3,6]=>[1,-6,4,3,2,5]
[2,1,5,4,6,3]=>[1,-6,4,3,5,2]
[2,1,5,6,3,4]=>[1,-6,4,5,2,3]
[2,1,5,6,4,3]=>[1,-6,4,5,3,2]
[2,1,6,3,4,5]=>[1,-6,5,2,3,4]
[2,1,6,3,5,4]=>[1,-6,5,2,4,3]
[2,1,6,4,3,5]=>[1,-6,5,3,2,4]
[2,1,6,4,5,3]=>[1,-6,5,3,4,2]
[2,1,6,5,3,4]=>[1,-6,5,4,2,3]
[2,1,6,5,4,3]=>[1,-6,5,4,3,2]
[2,3,1,4,5,6]=>[2,1,-6,3,4,5]
[2,3,1,4,6,5]=>[2,1,-6,3,5,4]
[2,3,1,5,4,6]=>[2,1,-6,4,3,5]
[2,3,1,5,6,4]=>[2,1,-6,4,5,3]
[2,3,1,6,4,5]=>[2,1,-6,5,3,4]
[2,3,1,6,5,4]=>[2,1,-6,5,4,3]
[2,3,4,1,5,6]=>[3,1,2,-6,4,5]
[2,3,4,1,6,5]=>[3,1,2,-6,5,4]
[2,3,4,5,1,6]=>[4,1,2,3,-6,5]
[2,3,4,5,6,1]=>[5,1,2,3,4,-6]
[2,3,4,6,1,5]=>[5,1,2,3,-6,4]
[2,3,4,6,5,1]=>[5,1,2,4,3,-6]
[2,3,5,1,4,6]=>[4,1,2,-6,3,5]
[2,3,5,1,6,4]=>[4,1,2,-6,5,3]
[2,3,5,4,1,6]=>[4,1,3,2,-6,5]
[2,3,5,4,6,1]=>[5,1,3,2,4,-6]
[2,3,5,6,1,4]=>[5,1,2,4,-6,3]
[2,3,5,6,4,1]=>[5,1,3,4,2,-6]
[2,3,6,1,4,5]=>[5,1,2,-6,3,4]
[2,3,6,4,5,1]=>[5,1,4,2,3,-6]
[2,3,6,5,1,4]=>[5,1,4,2,-6,3]
[2,3,6,5,4,1]=>[5,1,4,3,2,-6]
[2,4,1,3,5,6]=>[3,1,-6,2,4,5]
[2,4,1,3,6,5]=>[3,1,-6,2,5,4]
[2,4,1,5,3,6]=>[3,1,-6,4,2,5]
[2,4,1,5,6,3]=>[3,1,-6,4,5,2]
[2,4,1,6,3,5]=>[3,1,-6,5,2,4]
[2,4,1,6,5,3]=>[3,1,-6,5,4,2]
[2,4,3,1,5,6]=>[3,2,1,-6,4,5]
[2,4,3,1,6,5]=>[3,2,1,-6,5,4]
[2,4,3,5,1,6]=>[4,2,1,3,-6,5]
[2,4,3,5,6,1]=>[5,2,1,3,4,-6]
[2,4,3,6,1,5]=>[5,2,1,3,-6,4]
[2,4,3,6,5,1]=>[5,2,1,4,3,-6]
[2,4,5,1,3,6]=>[4,1,3,-6,2,5]
[2,4,5,1,6,3]=>[4,1,3,-6,5,2]
[2,4,5,3,1,6]=>[4,2,3,1,-6,5]
[2,4,5,3,6,1]=>[5,2,3,1,4,-6]
[2,4,5,6,1,3]=>[5,1,3,4,-6,2]
[2,4,5,6,3,1]=>[5,2,3,4,1,-6]
[2,4,6,1,3,5]=>[5,1,3,-6,2,4]
[2,4,6,1,5,3]=>[5,1,3,-6,4,2]
[2,4,6,3,1,5]=>[5,2,3,1,-6,4]
[2,4,6,5,1,3]=>[5,1,4,3,-6,2]
[2,4,6,5,3,1]=>[5,2,4,3,1,-6]
[2,5,1,3,4,6]=>[4,1,-6,2,3,5]
[2,5,1,3,6,4]=>[4,1,-6,2,5,3]
[2,5,1,6,3,4]=>[4,1,-6,5,2,3]
[2,5,1,6,4,3]=>[4,1,-6,5,3,2]
[2,5,3,4,1,6]=>[4,3,1,2,-6,5]
[2,5,3,4,6,1]=>[5,3,1,2,4,-6]
[2,5,3,6,4,1]=>[5,3,1,4,2,-6]
[2,5,4,1,6,3]=>[4,3,1,-6,5,2]
[2,5,4,3,1,6]=>[4,3,2,1,-6,5]
[2,5,4,3,6,1]=>[5,3,2,1,4,-6]
[2,5,4,6,3,1]=>[5,3,2,4,1,-6]
[2,5,6,1,3,4]=>[5,1,4,-6,2,3]
[2,5,6,3,4,1]=>[5,3,4,1,2,-6]
[2,5,6,4,3,1]=>[5,3,4,2,1,-6]
[2,6,1,3,4,5]=>[5,1,-6,2,3,4]
[2,6,1,4,3,5]=>[5,1,-6,3,2,4]
[2,6,1,5,3,4]=>[5,1,-6,4,2,3]
[2,6,1,5,4,3]=>[5,1,-6,4,3,2]
[2,6,3,4,5,1]=>[5,4,1,2,3,-6]
[2,6,3,5,1,4]=>[5,4,1,2,-6,3]
[2,6,3,5,4,1]=>[5,4,1,3,2,-6]
[2,6,4,1,3,5]=>[5,3,1,-6,2,4]
[2,6,4,3,5,1]=>[5,4,2,1,3,-6]
[2,6,4,5,1,3]=>[5,4,1,3,-6,2]
[2,6,4,5,3,1]=>[5,4,2,3,1,-6]
[2,6,5,1,3,4]=>[5,4,1,-6,2,3]
[2,6,5,1,4,3]=>[5,4,1,-6,3,2]
[2,6,5,3,4,1]=>[5,4,3,1,2,-6]
[2,6,5,4,1,3]=>[5,4,3,1,-6,2]
[2,6,5,4,3,1]=>[5,4,3,2,1,-6]
[3,1,2,4,5,6]=>[2,-6,1,3,4,5]
[3,1,2,4,6,5]=>[2,-6,1,3,5,4]
[3,1,2,5,4,6]=>[2,-6,1,4,3,5]
[3,1,2,5,6,4]=>[2,-6,1,4,5,3]
[3,1,2,6,4,5]=>[2,-6,1,5,3,4]
[3,1,2,6,5,4]=>[2,-6,1,5,4,3]
[3,1,4,2,5,6]=>[2,-6,3,1,4,5]
[3,1,4,2,6,5]=>[2,-6,3,1,5,4]
[3,1,4,5,2,6]=>[2,-6,3,4,1,5]
[3,1,4,5,6,2]=>[2,-6,3,4,5,1]
[3,1,4,6,2,5]=>[2,-6,3,5,1,4]
[3,1,5,2,4,6]=>[2,-6,4,1,3,5]
[3,1,5,2,6,4]=>[2,-6,4,1,5,3]
[3,1,5,4,6,2]=>[2,-6,4,3,5,1]
[3,1,5,6,2,4]=>[2,-6,4,5,1,3]
[3,1,5,6,4,2]=>[2,-6,4,5,3,1]
[3,1,6,2,4,5]=>[2,-6,5,1,3,4]
[3,1,6,5,2,4]=>[2,-6,5,4,1,3]
[3,1,6,5,4,2]=>[2,-6,5,4,3,1]
[3,2,1,4,5,6]=>[1,2,-6,3,4,5]
[3,2,1,4,6,5]=>[1,2,-6,3,5,4]
[3,2,1,5,4,6]=>[1,2,-6,4,3,5]
[3,2,1,5,6,4]=>[1,2,-6,4,5,3]
[3,2,1,6,4,5]=>[1,2,-6,5,3,4]
[3,2,1,6,5,4]=>[1,2,-6,5,4,3]
[3,2,4,1,5,6]=>[1,3,2,-6,4,5]
[3,2,4,1,6,5]=>[1,3,2,-6,5,4]
[3,2,4,5,1,6]=>[1,4,2,3,-6,5]
[3,2,4,5,6,1]=>[1,5,2,3,4,-6]
[3,2,4,6,5,1]=>[1,5,2,4,3,-6]
[3,2,5,1,4,6]=>[1,4,2,-6,3,5]
[3,2,5,4,1,6]=>[1,4,3,2,-6,5]
[3,2,5,4,6,1]=>[1,5,3,2,4,-6]
[3,2,5,6,4,1]=>[1,5,3,4,2,-6]
[3,2,6,1,4,5]=>[1,5,2,-6,3,4]
[3,2,6,1,5,4]=>[1,5,2,-6,4,3]
[3,2,6,4,5,1]=>[1,5,4,2,3,-6]
[3,2,6,5,1,4]=>[1,5,4,2,-6,3]
[3,2,6,5,4,1]=>[1,5,4,3,2,-6]
[3,4,1,2,5,6]=>[3,2,-6,1,4,5]
[3,4,1,2,6,5]=>[3,2,-6,1,5,4]
[3,4,1,5,2,6]=>[3,2,-6,4,1,5]
[3,4,1,5,6,2]=>[3,2,-6,4,5,1]
[3,4,1,6,2,5]=>[3,2,-6,5,1,4]
[3,4,1,6,5,2]=>[3,2,-6,5,4,1]
[3,4,2,1,5,6]=>[2,1,3,-6,4,5]
[3,4,2,1,6,5]=>[2,1,3,-6,5,4]
[3,4,2,5,1,6]=>[2,1,4,3,-6,5]
[3,4,2,5,6,1]=>[2,1,5,3,4,-6]
[3,4,2,6,1,5]=>[2,1,5,3,-6,4]
[3,4,2,6,5,1]=>[2,1,5,4,3,-6]
[3,4,5,1,2,6]=>[4,2,3,-6,1,5]
[3,4,5,1,6,2]=>[4,2,3,-6,5,1]
[3,4,5,2,1,6]=>[3,1,2,4,-6,5]
[3,4,5,2,6,1]=>[3,1,2,5,4,-6]
[3,4,5,6,1,2]=>[5,2,3,4,-6,1]
[3,4,5,6,2,1]=>[4,1,2,3,5,-6]
[3,4,6,1,2,5]=>[5,2,3,-6,1,4]
[3,4,6,1,5,2]=>[5,2,3,-6,4,1]
[3,4,6,2,1,5]=>[3,1,2,5,-6,4]
[3,4,6,5,1,2]=>[5,2,4,3,-6,1]
[3,4,6,5,2,1]=>[4,1,3,2,5,-6]
[3,5,1,2,4,6]=>[4,2,-6,1,3,5]
[3,5,1,2,6,4]=>[4,2,-6,1,5,3]
[3,5,1,6,2,4]=>[4,2,-6,5,1,3]
[3,5,1,6,4,2]=>[4,2,-6,5,3,1]
[3,5,2,1,6,4]=>[2,1,4,-6,5,3]
[3,5,2,6,1,4]=>[2,1,5,4,-6,3]
[3,5,2,6,4,1]=>[3,1,5,4,2,-6]
[3,5,4,1,2,6]=>[4,3,2,-6,1,5]
[3,5,4,2,1,6]=>[3,2,1,4,-6,5]
[3,5,4,2,6,1]=>[3,2,1,5,4,-6]
[3,5,4,6,1,2]=>[5,3,2,4,-6,1]
[3,5,4,6,2,1]=>[4,2,1,3,5,-6]
[3,5,6,1,2,4]=>[5,2,4,-6,1,3]
[3,5,6,2,4,1]=>[4,1,3,5,2,-6]
[3,5,6,4,1,2]=>[5,3,4,2,-6,1]
[3,5,6,4,2,1]=>[4,2,3,1,5,-6]
[3,6,1,2,4,5]=>[5,2,-6,1,3,4]
[3,6,1,4,5,2]=>[5,2,-6,3,4,1]
[3,6,1,5,2,4]=>[5,2,-6,4,1,3]
[3,6,1,5,4,2]=>[5,2,-6,4,3,1]
[3,6,2,1,4,5]=>[2,1,5,-6,3,4]
[3,6,2,1,5,4]=>[2,1,5,-6,4,3]
[3,6,2,4,1,5]=>[3,1,5,2,-6,4]
[3,6,2,5,1,4]=>[4,1,5,2,-6,3]
[3,6,2,5,4,1]=>[4,1,5,3,2,-6]
[3,6,4,5,1,2]=>[5,4,2,3,-6,1]
[3,6,4,5,2,1]=>[4,3,1,2,5,-6]
[3,6,5,1,4,2]=>[5,4,2,-6,3,1]
[3,6,5,2,1,4]=>[4,2,1,5,-6,3]
[3,6,5,2,4,1]=>[4,3,1,5,2,-6]
[3,6,5,4,1,2]=>[5,4,3,2,-6,1]
[3,6,5,4,2,1]=>[4,3,2,1,5,-6]
[4,1,2,3,5,6]=>[3,-6,1,2,4,5]
[4,1,2,3,6,5]=>[3,-6,1,2,5,4]
[4,1,2,5,3,6]=>[3,-6,1,4,2,5]
[4,1,2,5,6,3]=>[3,-6,1,4,5,2]
[4,1,2,6,3,5]=>[3,-6,1,5,2,4]
[4,1,3,2,5,6]=>[3,-6,2,1,4,5]
[4,1,3,2,6,5]=>[3,-6,2,1,5,4]
[4,1,5,2,3,6]=>[3,-6,4,1,2,5]
[4,1,5,2,6,3]=>[3,-6,4,1,5,2]
[4,1,5,3,6,2]=>[3,-6,4,2,5,1]
[4,1,5,6,2,3]=>[3,-6,4,5,1,2]
[4,1,5,6,3,2]=>[3,-6,4,5,2,1]
[4,1,6,2,3,5]=>[3,-6,5,1,2,4]
[4,1,6,2,5,3]=>[3,-6,5,1,4,2]
[4,1,6,3,2,5]=>[3,-6,5,2,1,4]
[4,1,6,5,3,2]=>[3,-6,5,4,2,1]
[4,2,1,3,5,6]=>[1,3,-6,2,4,5]
[4,2,1,3,6,5]=>[1,3,-6,2,5,4]
[4,2,1,5,3,6]=>[1,3,-6,4,2,5]
[4,2,1,5,6,3]=>[1,3,-6,4,5,2]
[4,2,1,6,3,5]=>[1,3,-6,5,2,4]
[4,2,1,6,5,3]=>[1,3,-6,5,4,2]
[4,2,3,1,5,6]=>[2,3,1,-6,4,5]
[4,2,3,1,6,5]=>[2,3,1,-6,5,4]
[4,2,3,5,1,6]=>[2,4,1,3,-6,5]
[4,2,3,5,6,1]=>[2,5,1,3,4,-6]
[4,2,3,6,5,1]=>[2,5,1,4,3,-6]
[4,2,5,1,3,6]=>[1,4,3,-6,2,5]
[4,2,5,1,6,3]=>[1,4,3,-6,5,2]
[4,2,5,3,1,6]=>[2,4,3,1,-6,5]
[4,2,5,3,6,1]=>[2,5,3,1,4,-6]
[4,2,5,6,1,3]=>[1,5,3,4,-6,2]
[4,2,5,6,3,1]=>[2,5,3,4,1,-6]
[4,2,6,1,3,5]=>[1,5,3,-6,2,4]
[4,2,6,1,5,3]=>[1,5,3,-6,4,2]
[4,2,6,5,1,3]=>[1,5,4,3,-6,2]
[4,2,6,5,3,1]=>[2,5,4,3,1,-6]
[4,3,1,2,5,6]=>[2,3,-6,1,4,5]
[4,3,1,2,6,5]=>[2,3,-6,1,5,4]
[4,3,1,5,2,6]=>[2,3,-6,4,1,5]
[4,3,1,5,6,2]=>[2,3,-6,4,5,1]
[4,3,1,6,2,5]=>[2,3,-6,5,1,4]
[4,3,1,6,5,2]=>[2,3,-6,5,4,1]
[4,3,2,1,5,6]=>[1,2,3,-6,4,5]
[4,3,2,1,6,5]=>[1,2,3,-6,5,4]
[4,3,2,5,1,6]=>[1,2,4,3,-6,5]
[4,3,2,5,6,1]=>[1,2,5,3,4,-6]
[4,3,2,6,1,5]=>[1,2,5,3,-6,4]
[4,3,2,6,5,1]=>[1,2,5,4,3,-6]
[4,3,5,1,2,6]=>[2,4,3,-6,1,5]
[4,3,5,1,6,2]=>[2,4,3,-6,5,1]
[4,3,5,2,1,6]=>[1,3,2,4,-6,5]
[4,3,5,2,6,1]=>[1,3,2,5,4,-6]
[4,3,5,6,1,2]=>[2,5,3,4,-6,1]
[4,3,5,6,2,1]=>[1,4,2,3,5,-6]
[4,3,6,1,2,5]=>[2,5,3,-6,1,4]
[4,3,6,1,5,2]=>[2,5,3,-6,4,1]
[4,3,6,2,1,5]=>[1,3,2,5,-6,4]
[4,3,6,2,5,1]=>[1,4,2,5,3,-6]
[4,3,6,5,1,2]=>[2,5,4,3,-6,1]
[4,3,6,5,2,1]=>[1,4,3,2,5,-6]
[4,5,1,2,3,6]=>[4,3,-6,1,2,5]
[4,5,1,2,6,3]=>[4,3,-6,1,5,2]
[4,5,1,3,2,6]=>[4,3,-6,2,1,5]
[4,5,1,6,2,3]=>[4,3,-6,5,1,2]
[4,5,1,6,3,2]=>[4,3,-6,5,2,1]
[4,5,2,1,3,6]=>[3,1,4,-6,2,5]
[4,5,2,1,6,3]=>[3,1,4,-6,5,2]
[4,5,2,3,1,6]=>[3,2,4,1,-6,5]
[4,5,2,3,6,1]=>[3,2,5,1,4,-6]
[4,5,2,6,1,3]=>[3,1,5,4,-6,2]
[4,5,2,6,3,1]=>[3,2,5,4,1,-6]
[4,5,3,1,2,6]=>[3,2,4,-6,1,5]
[4,5,3,2,1,6]=>[2,1,3,4,-6,5]
[4,5,3,2,6,1]=>[2,1,3,5,4,-6]
[4,5,3,6,1,2]=>[3,2,5,4,-6,1]
[4,5,3,6,2,1]=>[2,1,4,3,5,-6]
[4,5,6,1,2,3]=>[5,3,4,-6,1,2]
[4,5,6,1,3,2]=>[5,3,4,-6,2,1]
[4,5,6,2,1,3]=>[4,1,3,5,-6,2]
[4,5,6,2,3,1]=>[4,2,3,5,1,-6]
[4,5,6,3,1,2]=>[4,2,3,5,-6,1]
[4,5,6,3,2,1]=>[3,1,2,4,5,-6]
[4,6,1,2,3,5]=>[5,3,-6,1,2,4]
[4,6,1,2,5,3]=>[5,3,-6,1,4,2]
[4,6,1,5,3,2]=>[5,3,-6,4,2,1]
[4,6,2,1,3,5]=>[3,1,5,-6,2,4]
[4,6,2,1,5,3]=>[3,1,5,-6,4,2]
[4,6,2,3,1,5]=>[3,2,5,1,-6,4]
[4,6,2,5,1,3]=>[4,1,5,3,-6,2]
[4,6,2,5,3,1]=>[4,2,5,3,1,-6]
[4,6,3,1,5,2]=>[3,2,5,-6,4,1]
[4,6,3,2,1,5]=>[2,1,3,5,-6,4]
[4,6,3,2,5,1]=>[2,1,4,5,3,-6]
[4,6,3,5,1,2]=>[4,2,5,3,-6,1]
[4,6,3,5,2,1]=>[3,1,4,2,5,-6]
[4,6,5,1,2,3]=>[5,4,3,-6,1,2]
[4,6,5,1,3,2]=>[5,4,3,-6,2,1]
[4,6,5,2,1,3]=>[4,3,1,5,-6,2]
[4,6,5,2,3,1]=>[4,3,2,5,1,-6]
[4,6,5,3,1,2]=>[4,3,2,5,-6,1]
[4,6,5,3,2,1]=>[3,2,1,4,5,-6]
[5,1,2,3,4,6]=>[4,-6,1,2,3,5]
[5,1,2,3,6,4]=>[4,-6,1,2,5,3]
[5,1,2,4,3,6]=>[4,-6,1,3,2,5]
[5,1,2,6,3,4]=>[4,-6,1,5,2,3]
[5,1,2,6,4,3]=>[4,-6,1,5,3,2]
[5,1,3,2,4,6]=>[4,-6,2,1,3,5]
[5,1,3,2,6,4]=>[4,-6,2,1,5,3]
[5,1,3,4,2,6]=>[4,-6,2,3,1,5]
[5,1,3,6,4,2]=>[4,-6,2,5,3,1]
[5,1,4,2,3,6]=>[4,-6,3,1,2,5]
[5,1,4,2,6,3]=>[4,-6,3,1,5,2]
[5,1,4,3,2,6]=>[4,-6,3,2,1,5]
[5,1,6,2,3,4]=>[4,-6,5,1,2,3]
[5,1,6,2,4,3]=>[4,-6,5,1,3,2]
[5,1,6,3,4,2]=>[4,-6,5,2,3,1]
[5,1,6,4,3,2]=>[4,-6,5,3,2,1]
[5,2,1,3,4,6]=>[1,4,-6,2,3,5]
[5,2,1,4,3,6]=>[1,4,-6,3,2,5]
[5,2,1,6,3,4]=>[1,4,-6,5,2,3]
[5,2,1,6,4,3]=>[1,4,-6,5,3,2]
[5,2,3,1,4,6]=>[2,4,1,-6,3,5]
[5,2,3,4,1,6]=>[3,4,1,2,-6,5]
[5,2,3,4,6,1]=>[3,5,1,2,4,-6]
[5,2,3,6,1,4]=>[2,5,1,4,-6,3]
[5,2,4,1,3,6]=>[3,4,1,-6,2,5]
[5,2,4,3,1,6]=>[3,4,2,1,-6,5]
[5,2,4,3,6,1]=>[3,5,2,1,4,-6]
[5,2,6,1,3,4]=>[1,5,4,-6,2,3]
[5,2,6,1,4,3]=>[1,5,4,-6,3,2]
[5,2,6,4,1,3]=>[3,5,4,1,-6,2]
[5,2,6,4,3,1]=>[3,5,4,2,1,-6]
[5,3,1,2,4,6]=>[2,4,-6,1,3,5]
[5,3,1,2,6,4]=>[2,4,-6,1,5,3]
[5,3,1,4,2,6]=>[2,4,-6,3,1,5]
[5,3,1,4,6,2]=>[2,4,-6,3,5,1]
[5,3,1,6,2,4]=>[2,4,-6,5,1,3]
[5,3,1,6,4,2]=>[2,4,-6,5,3,1]
[5,3,2,1,4,6]=>[1,2,4,-6,3,5]
[5,3,2,1,6,4]=>[1,2,4,-6,5,3]
[5,3,2,4,1,6]=>[1,3,4,2,-6,5]
[5,3,2,4,6,1]=>[1,3,5,2,4,-6]
[5,3,2,6,1,4]=>[1,2,5,4,-6,3]
[5,3,2,6,4,1]=>[1,3,5,4,2,-6]
[5,3,4,1,2,6]=>[3,4,2,-6,1,5]
[5,3,4,1,6,2]=>[3,4,2,-6,5,1]
[5,3,4,2,1,6]=>[2,3,1,4,-6,5]
[5,3,4,2,6,1]=>[2,3,1,5,4,-6]
[5,3,4,6,1,2]=>[3,5,2,4,-6,1]
[5,3,4,6,2,1]=>[2,4,1,3,5,-6]
[5,3,6,1,2,4]=>[2,5,4,-6,1,3]
[5,3,6,1,4,2]=>[2,5,4,-6,3,1]
[5,3,6,2,1,4]=>[1,4,2,5,-6,3]
[5,3,6,2,4,1]=>[1,4,3,5,2,-6]
[5,3,6,4,1,2]=>[3,5,4,2,-6,1]
[5,3,6,4,2,1]=>[2,4,3,1,5,-6]
[5,4,1,2,3,6]=>[3,4,-6,1,2,5]
[5,4,1,2,6,3]=>[3,4,-6,1,5,2]
[5,4,1,3,2,6]=>[3,4,-6,2,1,5]
[5,4,1,6,2,3]=>[3,4,-6,5,1,2]
[5,4,1,6,3,2]=>[3,4,-6,5,2,1]
[5,4,2,1,3,6]=>[1,3,4,-6,2,5]
[5,4,2,1,6,3]=>[1,3,4,-6,5,2]
[5,4,2,3,1,6]=>[2,3,4,1,-6,5]
[5,4,2,3,6,1]=>[2,3,5,1,4,-6]
[5,4,2,6,1,3]=>[1,3,5,4,-6,2]
[5,4,2,6,3,1]=>[2,3,5,4,1,-6]
[5,4,3,1,2,6]=>[2,3,4,-6,1,5]
[5,4,3,1,6,2]=>[2,3,4,-6,5,1]
[5,4,3,2,1,6]=>[1,2,3,4,-6,5]
[5,4,3,2,6,1]=>[1,2,3,5,4,-6]
[5,4,3,6,1,2]=>[2,3,5,4,-6,1]
[5,4,3,6,2,1]=>[1,2,4,3,5,-6]
[5,4,6,1,2,3]=>[3,5,4,-6,1,2]
[5,4,6,1,3,2]=>[3,5,4,-6,2,1]
[5,4,6,2,1,3]=>[1,4,3,5,-6,2]
[5,4,6,2,3,1]=>[2,4,3,5,1,-6]
[5,4,6,3,1,2]=>[2,4,3,5,-6,1]
[5,4,6,3,2,1]=>[1,3,2,4,5,-6]
[5,6,1,2,3,4]=>[5,4,-6,1,2,3]
[5,6,1,2,4,3]=>[5,4,-6,1,3,2]
[5,6,1,3,2,4]=>[5,4,-6,2,1,3]
[5,6,1,3,4,2]=>[5,4,-6,2,3,1]
[5,6,1,4,2,3]=>[5,4,-6,3,1,2]
[5,6,1,4,3,2]=>[5,4,-6,3,2,1]
[5,6,2,1,3,4]=>[4,1,5,-6,2,3]
[5,6,2,1,4,3]=>[4,1,5,-6,3,2]
[5,6,2,3,1,4]=>[4,2,5,1,-6,3]
[5,6,2,3,4,1]=>[4,3,5,1,2,-6]
[5,6,2,4,1,3]=>[4,3,5,1,-6,2]
[5,6,2,4,3,1]=>[4,3,5,2,1,-6]
[5,6,3,1,2,4]=>[4,2,5,-6,1,3]
[5,6,3,1,4,2]=>[4,2,5,-6,3,1]
[5,6,3,2,1,4]=>[2,1,4,5,-6,3]
[5,6,3,2,4,1]=>[3,1,4,5,2,-6]
[5,6,3,4,1,2]=>[4,3,5,2,-6,1]
[5,6,3,4,2,1]=>[3,2,4,1,5,-6]
[5,6,4,1,2,3]=>[4,3,5,-6,1,2]
[5,6,4,1,3,2]=>[4,3,5,-6,2,1]
[5,6,4,2,1,3]=>[3,1,4,5,-6,2]
[5,6,4,2,3,1]=>[3,2,4,5,1,-6]
[5,6,4,3,1,2]=>[3,2,4,5,-6,1]
[5,6,4,3,2,1]=>[2,1,3,4,5,-6]
[6,1,2,3,4,5]=>[5,-6,1,2,3,4]
[6,1,2,3,5,4]=>[5,-6,1,2,4,3]
[6,1,2,4,3,5]=>[5,-6,1,3,2,4]
[6,1,2,4,5,3]=>[5,-6,1,3,4,2]
[6,1,2,5,3,4]=>[5,-6,1,4,2,3]
[6,1,2,5,4,3]=>[5,-6,1,4,3,2]
[6,1,3,2,4,5]=>[5,-6,2,1,3,4]
[6,1,3,2,5,4]=>[5,-6,2,1,4,3]
[6,1,3,4,2,5]=>[5,-6,2,3,1,4]
[6,1,3,4,5,2]=>[5,-6,2,3,4,1]
[6,1,3,5,4,2]=>[5,-6,2,4,3,1]
[6,1,4,2,3,5]=>[5,-6,3,1,2,4]
[6,1,4,3,2,5]=>[5,-6,3,2,1,4]
[6,1,4,3,5,2]=>[5,-6,3,2,4,1]
[6,1,4,5,2,3]=>[5,-6,3,4,1,2]
[6,1,4,5,3,2]=>[5,-6,3,4,2,1]
[6,1,5,2,3,4]=>[5,-6,4,1,2,3]
[6,1,5,2,4,3]=>[5,-6,4,1,3,2]
[6,1,5,3,2,4]=>[5,-6,4,2,1,3]
[6,1,5,3,4,2]=>[5,-6,4,2,3,1]
[6,1,5,4,2,3]=>[5,-6,4,3,1,2]
[6,1,5,4,3,2]=>[5,-6,4,3,2,1]
[6,2,1,3,4,5]=>[1,5,-6,2,3,4]
[6,2,1,3,5,4]=>[1,5,-6,2,4,3]
[6,2,1,4,3,5]=>[1,5,-6,3,2,4]
[6,2,1,4,5,3]=>[1,5,-6,3,4,2]
[6,2,1,5,3,4]=>[1,5,-6,4,2,3]
[6,2,1,5,4,3]=>[1,5,-6,4,3,2]
[6,2,3,1,4,5]=>[2,5,1,-6,3,4]
[6,2,3,1,5,4]=>[2,5,1,-6,4,3]
[6,2,3,4,1,5]=>[3,5,1,2,-6,4]
[6,2,3,4,5,1]=>[4,5,1,2,3,-6]
[6,2,3,5,4,1]=>[4,5,1,3,2,-6]
[6,2,4,1,3,5]=>[3,5,1,-6,2,4]
[6,2,4,3,1,5]=>[3,5,2,1,-6,4]
[6,2,4,3,5,1]=>[4,5,2,1,3,-6]
[6,2,4,5,3,1]=>[4,5,2,3,1,-6]
[6,2,5,1,3,4]=>[4,5,1,-6,2,3]
[6,2,5,1,4,3]=>[4,5,1,-6,3,2]
[6,2,5,3,4,1]=>[4,5,3,1,2,-6]
[6,2,5,4,1,3]=>[4,5,3,1,-6,2]
[6,2,5,4,3,1]=>[4,5,3,2,1,-6]
[6,3,1,2,4,5]=>[2,5,-6,1,3,4]
[6,3,1,2,5,4]=>[2,5,-6,1,4,3]
[6,3,1,4,2,5]=>[2,5,-6,3,1,4]
[6,3,1,5,2,4]=>[2,5,-6,4,1,3]
[6,3,1,5,4,2]=>[2,5,-6,4,3,1]
[6,3,2,1,4,5]=>[1,2,5,-6,3,4]
[6,3,2,1,5,4]=>[1,2,5,-6,4,3]
[6,3,2,4,1,5]=>[1,3,5,2,-6,4]
[6,3,2,4,5,1]=>[1,4,5,2,3,-6]
[6,3,2,5,1,4]=>[1,4,5,2,-6,3]
[6,3,2,5,4,1]=>[1,4,5,3,2,-6]
[6,3,4,1,2,5]=>[3,5,2,-6,1,4]
[6,3,4,2,1,5]=>[2,3,1,5,-6,4]
[6,3,4,2,5,1]=>[2,4,1,5,3,-6]
[6,3,4,5,1,2]=>[4,5,2,3,-6,1]
[6,3,4,5,2,1]=>[3,4,1,2,5,-6]
[6,3,5,1,2,4]=>[4,5,2,-6,1,3]
[6,3,5,1,4,2]=>[4,5,2,-6,3,1]
[6,3,5,2,1,4]=>[2,4,1,5,-6,3]
[6,3,5,2,4,1]=>[3,4,1,5,2,-6]
[6,3,5,4,1,2]=>[4,5,3,2,-6,1]
[6,3,5,4,2,1]=>[3,4,2,1,5,-6]
[6,4,1,2,3,5]=>[3,5,-6,1,2,4]
[6,4,1,3,2,5]=>[3,5,-6,2,1,4]
[6,4,1,5,2,3]=>[3,5,-6,4,1,2]
[6,4,1,5,3,2]=>[3,5,-6,4,2,1]
[6,4,2,1,3,5]=>[1,3,5,-6,2,4]
[6,4,2,1,5,3]=>[1,3,5,-6,4,2]
[6,4,2,3,1,5]=>[2,3,5,1,-6,4]
[6,4,2,3,5,1]=>[2,4,5,1,3,-6]
[6,4,2,5,1,3]=>[1,4,5,3,-6,2]
[6,4,2,5,3,1]=>[2,4,5,3,1,-6]
[6,4,3,1,2,5]=>[2,3,5,-6,1,4]
[6,4,3,1,5,2]=>[2,3,5,-6,4,1]
[6,4,3,2,1,5]=>[1,2,3,5,-6,4]
[6,4,3,2,5,1]=>[1,2,4,5,3,-6]
[6,4,3,5,1,2]=>[2,4,5,3,-6,1]
[6,4,3,5,2,1]=>[1,3,4,2,5,-6]
[6,4,5,1,2,3]=>[4,5,3,-6,1,2]
[6,4,5,1,3,2]=>[4,5,3,-6,2,1]
[6,4,5,2,1,3]=>[3,4,1,5,-6,2]
[6,4,5,2,3,1]=>[3,4,2,5,1,-6]
[6,4,5,3,1,2]=>[3,4,2,5,-6,1]
[6,4,5,3,2,1]=>[2,3,1,4,5,-6]
[6,5,1,2,3,4]=>[4,5,-6,1,2,3]
[6,5,1,2,4,3]=>[4,5,-6,1,3,2]
[6,5,1,3,2,4]=>[4,5,-6,2,1,3]
[6,5,1,3,4,2]=>[4,5,-6,2,3,1]
[6,5,1,4,2,3]=>[4,5,-6,3,1,2]
[6,5,1,4,3,2]=>[4,5,-6,3,2,1]
[6,5,2,1,3,4]=>[1,4,5,-6,2,3]
[6,5,2,1,4,3]=>[1,4,5,-6,3,2]
[6,5,2,3,1,4]=>[2,4,5,1,-6,3]
[6,5,2,3,4,1]=>[3,4,5,1,2,-6]
[6,5,2,4,1,3]=>[3,4,5,1,-6,2]
[6,5,2,4,3,1]=>[3,4,5,2,1,-6]
[6,5,3,1,2,4]=>[2,4,5,-6,1,3]
[6,5,3,1,4,2]=>[2,4,5,-6,3,1]
[6,5,3,2,1,4]=>[1,2,4,5,-6,3]
[6,5,3,2,4,1]=>[1,3,4,5,2,-6]
[6,5,3,4,1,2]=>[3,4,5,2,-6,1]
[6,5,3,4,2,1]=>[2,3,4,1,5,-6]
[6,5,4,1,2,3]=>[3,4,5,-6,1,2]
[6,5,4,1,3,2]=>[3,4,5,-6,2,1]
[6,5,4,2,1,3]=>[1,3,4,5,-6,2]
[6,5,4,2,3,1]=>[2,3,4,5,1,-6]
[6,5,4,3,1,2]=>[2,3,4,5,-6,1]
[6,5,4,3,2,1]=>[1,2,3,4,5,-6]
[1,2,4,3,7,6,5]=>[-7,1,3,2,6,5,4]
[1,2,7,6,5,4,3]=>[-7,1,6,5,4,3,2]
[1,3,4,7,2,6,5]=>[-7,2,3,6,1,5,4]
[1,3,4,7,6,5,2]=>[-7,2,3,6,5,4,1]
[1,4,7,2,6,5,3]=>[-7,3,6,1,5,4,2]
[1,4,7,3,2,6,5]=>[-7,3,6,2,1,5,4]
[1,4,7,3,6,5,2]=>[-7,3,6,2,5,4,1]
[1,4,7,6,2,5,3]=>[-7,3,6,5,1,4,2]
[1,4,7,6,5,3,2]=>[-7,3,6,5,4,2,1]
[1,5,2,3,7,6,4]=>[-7,4,1,2,6,5,3]
[1,5,3,7,2,6,4]=>[-7,4,2,6,1,5,3]
[1,5,3,7,6,4,2]=>[-7,4,2,6,5,3,1]
[1,5,4,2,7,6,3]=>[-7,4,3,1,6,5,2]
[1,5,4,3,2,7,6]=>[-7,4,3,2,1,6,5]
[1,5,4,3,7,6,2]=>[-7,4,3,2,6,5,1]
[1,5,4,7,2,6,3]=>[-7,4,3,6,1,5,2]
[1,5,4,7,6,3,2]=>[-7,4,3,6,5,2,1]
[1,5,7,2,6,4,3]=>[-7,4,6,1,5,3,2]
[1,5,7,3,2,6,4]=>[-7,4,6,2,1,5,3]
[1,5,7,3,6,4,2]=>[-7,4,6,2,5,3,1]
[1,5,7,6,2,4,3]=>[-7,4,6,5,1,3,2]
[1,5,7,6,4,3,2]=>[-7,4,6,5,3,2,1]
[1,7,2,3,6,5,4]=>[-7,6,1,2,5,4,3]
[1,7,3,6,2,5,4]=>[-7,6,2,5,1,4,3]
[1,7,3,6,5,4,2]=>[-7,6,2,5,4,3,1]
[1,7,4,2,6,5,3]=>[-7,6,3,1,5,4,2]
[1,7,4,3,2,6,5]=>[-7,6,3,2,1,5,4]
[1,7,4,3,6,5,2]=>[-7,6,3,2,5,4,1]
[1,7,4,6,2,5,3]=>[-7,6,3,5,1,4,2]
[1,7,4,6,5,3,2]=>[-7,6,3,5,4,2,1]
[1,7,6,2,5,4,3]=>[-7,6,5,1,4,3,2]
[1,7,6,3,2,5,4]=>[-7,6,5,2,1,4,3]
[1,7,6,3,5,4,2]=>[-7,6,5,2,4,3,1]
[1,7,6,5,2,4,3]=>[-7,6,5,4,1,3,2]
[1,7,6,5,4,3,2]=>[-7,6,5,4,3,2,1]
[2,1,3,7,6,5,4]=>[1,-7,2,6,5,4,3]
[2,1,4,7,6,5,3]=>[1,-7,3,6,5,4,2]
[2,1,6,5,4,3,7]=>[1,-7,5,4,3,2,6]
[2,1,7,3,6,5,4]=>[1,-7,6,2,5,4,3]
[2,3,4,5,6,7,1]=>[6,1,2,3,4,5,-7]
[2,3,4,5,7,1,6]=>[6,1,2,3,4,-7,5]
[2,3,4,6,1,7,5]=>[5,1,2,3,-7,6,4]
[2,3,4,6,7,5,1]=>[6,1,2,4,5,3,-7]
[2,3,4,7,1,5,6]=>[6,1,2,3,-7,4,5]
[2,3,4,7,6,1,5]=>[6,1,2,5,3,-7,4]
[2,3,5,1,6,7,4]=>[4,1,2,-7,5,6,3]
[2,3,5,1,7,4,6]=>[4,1,2,-7,6,3,5]
[2,3,5,6,4,7,1]=>[6,1,3,4,2,5,-7]
[2,3,5,6,7,4,1]=>[6,1,3,4,5,2,-7]
[2,3,5,7,4,1,6]=>[6,1,3,4,2,-7,5]
[2,3,6,1,4,7,5]=>[5,1,2,-7,3,6,4]
[2,3,6,1,7,5,4]=>[5,1,2,-7,6,4,3]
[2,3,6,5,1,7,4]=>[5,1,4,2,-7,6,3]
[2,3,6,7,4,5,1]=>[6,1,4,5,2,3,-7]
[2,3,7,1,4,5,6]=>[6,1,2,-7,3,4,5]
[2,3,7,1,6,4,5]=>[6,1,2,-7,5,3,4]
[2,3,7,5,1,4,6]=>[6,1,4,2,-7,3,5]
[2,3,7,5,6,1,4]=>[6,1,5,2,4,-7,3]
[2,3,7,6,1,4,5]=>[6,1,5,2,-7,3,4]
[2,4,1,5,6,7,3]=>[3,1,-7,4,5,6,2]
[2,4,1,5,7,3,6]=>[3,1,-7,4,6,2,5]
[2,4,1,6,3,7,5]=>[3,1,-7,5,2,6,4]
[2,4,1,6,7,5,3]=>[3,1,-7,5,6,4,2]
[2,4,1,7,3,5,6]=>[3,1,-7,6,2,4,5]
[2,4,1,7,6,3,5]=>[3,1,-7,6,5,2,4]
[2,4,5,3,6,7,1]=>[6,2,3,1,4,5,-7]
[2,4,5,3,7,1,6]=>[6,2,3,1,4,-7,5]
[2,4,5,6,3,7,1]=>[6,2,3,4,1,5,-7]
[2,4,5,6,7,1,3]=>[6,1,3,4,5,-7,2]
[2,4,5,7,3,1,6]=>[6,2,3,4,1,-7,5]
[2,4,6,3,1,7,5]=>[5,2,3,1,-7,6,4]
[2,4,6,3,7,5,1]=>[6,2,4,1,5,3,-7]
[2,4,6,7,3,5,1]=>[6,2,4,5,1,3,-7]
[2,4,7,3,1,5,6]=>[6,2,3,1,-7,4,5]
[2,4,7,3,6,1,5]=>[6,2,5,1,3,-7,4]
[2,4,7,6,5,1,3]=>[6,1,5,4,3,-7,2]
[2,5,1,3,6,7,4]=>[4,1,-7,2,5,6,3]
[2,5,1,3,7,4,6]=>[4,1,-7,2,6,3,5]
[2,5,1,6,4,7,3]=>[4,1,-7,5,3,6,2]
[2,5,1,6,7,4,3]=>[4,1,-7,5,6,3,2]
[2,5,1,7,4,3,6]=>[4,1,-7,6,3,2,5]
[2,5,1,7,6,4,3]=>[4,1,-7,6,5,3,2]
[2,5,3,7,6,1,4]=>[6,2,1,5,4,-7,3]
[2,5,4,1,6,7,3]=>[4,3,1,-7,5,6,2]
[2,5,4,1,7,3,6]=>[4,3,1,-7,6,2,5]
[2,5,4,3,7,1,6]=>[6,3,2,1,4,-7,5]
[2,5,4,7,6,1,3]=>[6,3,1,5,4,-7,2]
[2,5,6,3,4,7,1]=>[6,3,4,1,2,5,-7]
[2,5,6,3,7,4,1]=>[6,3,4,1,5,2,-7]
[2,5,6,7,4,3,1]=>[6,3,4,5,2,1,-7]
[2,5,7,3,4,1,6]=>[6,3,4,1,2,-7,5]
[2,5,7,3,6,1,4]=>[6,2,5,1,4,-7,3]
[2,5,7,6,4,1,3]=>[6,3,5,4,1,-7,2]
[2,6,1,3,4,7,5]=>[5,1,-7,2,3,6,4]
[2,6,1,3,7,5,4]=>[5,1,-7,2,6,4,3]
[2,6,1,5,3,7,4]=>[5,1,-7,4,2,6,3]
[2,6,1,7,4,5,3]=>[5,1,-7,6,3,4,2]
[2,6,4,1,3,7,5]=>[5,3,1,-7,2,6,4]
[2,6,4,5,1,7,3]=>[5,4,1,3,-7,6,2]
[2,6,5,1,3,7,4]=>[5,4,1,-7,2,6,3]
[2,6,7,1,3,4,5]=>[6,1,5,-7,2,3,4]
[2,6,7,3,4,5,1]=>[6,4,5,1,2,3,-7]
[2,7,1,3,4,5,6]=>[6,1,-7,2,3,4,5]
[2,7,1,3,6,4,5]=>[6,1,-7,2,5,3,4]
[2,7,1,5,3,4,6]=>[6,1,-7,4,2,3,5]
[2,7,1,5,4,3,6]=>[6,1,-7,4,3,2,5]
[2,7,1,5,6,3,4]=>[6,1,-7,4,5,2,3]
[2,7,1,6,3,4,5]=>[6,1,-7,5,2,3,4]
[2,7,1,6,5,4,3]=>[6,1,-7,5,4,3,2]
[2,7,3,6,5,1,4]=>[6,5,1,4,2,-7,3]
[2,7,4,1,3,5,6]=>[6,3,1,-7,2,4,5]
[2,7,4,1,6,3,5]=>[6,3,1,-7,5,2,4]
[2,7,4,3,6,1,5]=>[6,5,2,1,3,-7,4]
[2,7,4,5,1,3,6]=>[6,4,1,3,-7,2,5]
[2,7,4,5,6,1,3]=>[6,5,1,3,4,-7,2]
[2,7,4,6,1,3,5]=>[6,5,1,3,-7,2,4]
[2,7,4,6,5,1,3]=>[6,5,1,4,3,-7,2]
[2,7,5,1,3,4,6]=>[6,4,1,-7,2,3,5]
[2,7,5,1,6,3,4]=>[6,4,1,-7,5,2,3]
[2,7,6,1,4,3,5]=>[6,5,1,-7,3,2,4]
[2,7,6,3,5,1,4]=>[6,5,4,1,2,-7,3]
[2,7,6,5,1,3,4]=>[6,5,4,1,-7,2,3]
[2,7,6,5,4,1,3]=>[6,5,4,3,1,-7,2]
[3,1,4,5,6,7,2]=>[2,-7,3,4,5,6,1]
[3,1,4,5,7,2,6]=>[2,-7,3,4,6,1,5]
[3,1,4,6,2,7,5]=>[2,-7,3,5,1,6,4]
[3,1,4,6,7,5,2]=>[2,-7,3,5,6,4,1]
[3,1,4,7,2,5,6]=>[2,-7,3,6,1,4,5]
[3,1,4,7,6,2,5]=>[2,-7,3,6,5,1,4]
[3,1,5,2,6,7,4]=>[2,-7,4,1,5,6,3]
[3,1,5,2,7,4,6]=>[2,-7,4,1,6,3,5]
[3,1,5,6,4,7,2]=>[2,-7,4,5,3,6,1]
[3,1,5,6,7,4,2]=>[2,-7,4,5,6,3,1]
[3,1,5,7,4,2,6]=>[2,-7,4,6,3,1,5]
[3,1,6,2,4,7,5]=>[2,-7,5,1,3,6,4]
[3,1,6,2,7,5,4]=>[2,-7,5,1,6,4,3]
[3,1,6,5,2,7,4]=>[2,-7,5,4,1,6,3]
[3,1,6,5,4,7,2]=>[2,-7,5,4,3,6,1]
[3,1,6,7,4,5,2]=>[2,-7,5,6,3,4,1]
[3,1,7,2,4,5,6]=>[2,-7,6,1,3,4,5]
[3,1,7,2,6,4,5]=>[2,-7,6,1,5,3,4]
[3,1,7,5,2,4,6]=>[2,-7,6,4,1,3,5]
[3,1,7,5,6,2,4]=>[2,-7,6,4,5,1,3]
[3,1,7,6,2,4,5]=>[2,-7,6,5,1,3,4]
[3,1,7,6,2,5,4]=>[2,-7,6,5,1,4,3]
[3,1,7,6,5,4,2]=>[2,-7,6,5,4,3,1]
[3,2,1,5,4,6,7]=>[1,2,-7,4,3,5,6]
[3,2,6,1,4,5,7]=>[1,5,2,-7,3,4,6]
[3,2,6,5,1,4,7]=>[1,5,4,2,-7,3,6]
[3,2,6,5,4,1,7]=>[1,5,4,3,2,-7,6]
[3,2,7,6,5,1,4]=>[1,6,5,4,2,-7,3]
[3,4,2,5,6,7,1]=>[2,1,6,3,4,5,-7]
[3,4,2,5,7,1,6]=>[2,1,6,3,4,-7,5]
[3,4,2,6,1,7,5]=>[2,1,5,3,-7,6,4]
[3,4,2,6,7,5,1]=>[2,1,6,4,5,3,-7]
[3,4,2,7,1,5,6]=>[2,1,6,3,-7,4,5]
[3,4,5,2,6,7,1]=>[3,1,2,6,4,5,-7]
[3,4,5,2,7,1,6]=>[3,1,2,6,4,-7,5]
[3,4,5,6,1,7,2]=>[5,2,3,4,-7,6,1]
[3,4,5,6,7,2,1]=>[5,1,2,3,4,6,-7]
[3,4,5,7,1,2,6]=>[6,2,3,4,-7,1,5]
[3,4,6,2,1,7,5]=>[3,1,2,5,-7,6,4]
[3,4,6,2,7,5,1]=>[4,1,2,6,5,3,-7]
[3,4,6,7,1,5,2]=>[6,2,3,5,-7,4,1]
[3,4,7,2,1,5,6]=>[3,1,2,6,-7,4,5]
[3,4,7,6,1,5,2]=>[6,2,5,3,-7,4,1]
[3,4,7,6,2,1,5]=>[5,1,3,2,6,-7,4]
[3,5,2,1,6,7,4]=>[2,1,4,-7,5,6,3]
[3,5,2,1,7,4,6]=>[2,1,4,-7,6,3,5]
[3,5,2,6,4,7,1]=>[3,1,6,4,2,5,-7]
[3,5,2,6,7,4,1]=>[3,1,6,4,5,2,-7]
[3,5,2,7,4,1,6]=>[3,1,6,4,2,-7,5]
[3,5,4,7,1,6,2]=>[6,3,2,4,-7,5,1]
[3,5,4,7,2,1,6]=>[4,2,1,3,6,-7,5]
[3,5,6,2,4,7,1]=>[4,1,3,6,2,5,-7]
[3,5,6,2,7,4,1]=>[4,1,3,6,5,2,-7]
[3,5,6,7,4,1,2]=>[6,3,4,5,2,-7,1]
[3,5,7,2,4,1,6]=>[4,1,3,6,2,-7,5]
[3,5,7,6,1,4,2]=>[6,2,5,4,-7,3,1]
[3,5,7,6,2,1,4]=>[5,1,4,2,6,-7,3]
[3,6,2,1,4,7,5]=>[2,1,5,-7,3,6,4]
[3,6,2,1,7,5,4]=>[2,1,5,-7,6,4,3]
[3,6,2,7,4,5,1]=>[4,1,6,5,2,3,-7]
[3,6,7,2,4,5,1]=>[5,1,4,6,2,3,-7]
[3,7,1,5,4,6,2]=>[6,2,-7,4,3,5,1]
[3,7,2,1,4,5,6]=>[2,1,6,-7,3,4,5]
[3,7,2,5,1,4,6]=>[4,1,6,2,-7,3,5]
[3,7,2,5,4,1,6]=>[4,1,6,3,2,-7,5]
[3,7,4,6,1,5,2]=>[6,5,2,3,-7,4,1]
[3,7,4,6,2,1,5]=>[5,3,1,2,6,-7,4]
[3,7,6,1,4,5,2]=>[6,5,2,-7,3,4,1]
[3,7,6,2,1,4,5]=>[5,2,1,6,-7,3,4]
[3,7,6,2,4,1,5]=>[5,3,1,6,2,-7,4]
[3,7,6,5,1,4,2]=>[6,5,4,2,-7,3,1]
[3,7,6,5,2,1,4]=>[5,4,2,1,6,-7,3]
[4,1,2,5,6,7,3]=>[3,-7,1,4,5,6,2]
[4,1,2,5,7,3,6]=>[3,-7,1,4,6,2,5]
[4,1,2,6,3,7,5]=>[3,-7,1,5,2,6,4]
[4,1,2,6,7,5,3]=>[3,-7,1,5,6,4,2]
[4,1,2,7,3,5,6]=>[3,-7,1,6,2,4,5]
[4,1,2,7,6,3,5]=>[3,-7,1,6,5,2,4]
[4,1,5,3,6,7,2]=>[3,-7,4,2,5,6,1]
[4,1,5,3,7,2,6]=>[3,-7,4,2,6,1,5]
[4,1,5,6,3,7,2]=>[3,-7,4,5,2,6,1]
[4,1,5,6,7,2,3]=>[3,-7,4,5,6,1,2]
[4,1,5,7,3,2,6]=>[3,-7,4,6,2,1,5]
[4,1,6,3,2,7,5]=>[3,-7,5,2,1,6,4]
[4,1,6,3,7,5,2]=>[3,-7,5,2,6,4,1]
[4,1,6,5,7,3,2]=>[3,-7,5,4,6,2,1]
[4,1,6,7,3,5,2]=>[3,-7,5,6,2,4,1]
[4,1,7,3,2,5,6]=>[3,-7,6,2,1,4,5]
[4,2,1,5,6,3,7]=>[1,3,-7,4,5,2,6]
[4,2,6,1,5,3,7]=>[1,5,3,-7,4,2,6]
[4,2,6,5,1,3,7]=>[1,5,4,3,-7,2,6]
[4,2,6,5,7,1,3]=>[1,6,4,3,5,-7,2]
[4,3,1,5,6,7,2]=>[2,3,-7,4,5,6,1]
[4,3,1,5,7,2,6]=>[2,3,-7,4,6,1,5]
[4,3,1,6,2,7,5]=>[2,3,-7,5,1,6,4]
[4,3,1,7,2,5,6]=>[2,3,-7,6,1,4,5]
[4,3,1,7,6,2,5]=>[2,3,-7,6,5,1,4]
[4,3,2,1,5,7,6]=>[1,2,3,-7,4,6,5]
[4,3,2,5,1,7,6]=>[1,2,4,3,-7,6,5]
[4,3,2,5,6,1,7]=>[1,2,5,3,4,-7,6]
[4,3,6,1,5,7,2]=>[2,5,3,-7,4,6,1]
[4,3,6,2,1,7,5]=>[1,3,2,5,-7,6,4]
[4,3,6,2,5,1,7]=>[1,4,2,5,3,-7,6]
[4,3,6,5,1,7,2]=>[2,5,4,3,-7,6,1]
[4,3,6,5,2,1,7]=>[1,4,3,2,5,-7,6]
[4,5,2,3,6,7,1]=>[3,2,6,1,4,5,-7]
[4,5,2,3,7,1,6]=>[3,2,6,1,4,-7,5]
[4,5,2,6,3,7,1]=>[3,2,6,4,1,5,-7]
[4,5,2,6,7,1,3]=>[3,1,6,4,5,-7,2]
[4,5,2,7,3,1,6]=>[3,2,6,4,1,-7,5]
[4,5,6,3,2,7,1]=>[3,1,2,4,6,5,-7]
[4,5,6,3,7,1,2]=>[4,2,3,6,5,-7,1]
[4,5,6,7,3,1,2]=>[5,2,3,4,6,-7,1]
[4,5,7,1,2,6,3]=>[6,3,4,-7,1,5,2]
[4,5,7,1,6,3,2]=>[6,3,4,-7,5,2,1]
[4,5,7,2,6,1,3]=>[5,1,3,6,4,-7,2]
[4,5,7,3,1,6,2]=>[4,2,3,6,-7,5,1]
[4,5,7,3,2,1,6]=>[3,1,2,4,6,-7,5]
[4,6,2,3,1,7,5]=>[3,2,5,1,-7,6,4]
[4,6,2,3,7,5,1]=>[4,2,6,1,5,3,-7]
[4,6,2,7,3,5,1]=>[4,2,6,5,1,3,-7]
[4,6,7,3,2,5,1]=>[4,1,2,5,6,3,-7]
[4,7,1,5,6,3,2]=>[6,3,-7,4,5,2,1]
[4,7,2,1,5,3,6]=>[3,1,6,-7,4,2,5]
[4,7,2,3,1,5,6]=>[3,2,6,1,-7,4,5]
[4,7,2,5,1,3,6]=>[4,1,6,3,-7,2,5]
[4,7,2,5,6,1,3]=>[5,1,6,3,4,-7,2]
[4,7,3,1,5,6,2]=>[3,2,6,-7,4,5,1]
[4,7,3,2,1,6,5]=>[2,1,3,6,-7,5,4]
[4,7,3,2,5,1,6]=>[2,1,4,6,3,-7,5]
[4,7,3,5,1,6,2]=>[4,2,6,3,-7,5,1]
[4,7,3,5,2,1,6]=>[3,1,4,2,6,-7,5]
[4,7,6,1,2,5,3]=>[6,5,3,-7,1,4,2]
[4,7,6,1,5,3,2]=>[6,5,3,-7,4,2,1]
[4,7,6,2,1,3,5]=>[5,3,1,6,-7,2,4]
[4,7,6,2,5,1,3]=>[5,4,1,6,3,-7,2]
[4,7,6,3,1,5,2]=>[5,3,2,6,-7,4,1]
[4,7,6,3,2,1,5]=>[3,2,1,5,6,-7,4]
[5,1,2,3,6,7,4]=>[4,-7,1,2,5,6,3]
[5,1,2,3,7,4,6]=>[4,-7,1,2,6,3,5]
[5,1,2,6,4,7,3]=>[4,-7,1,5,3,6,2]
[5,1,2,6,7,4,3]=>[4,-7,1,5,6,3,2]
[5,1,2,7,4,3,6]=>[4,-7,1,6,3,2,5]
[5,1,4,2,6,7,3]=>[4,-7,3,1,5,6,2]
[5,1,4,2,7,3,6]=>[4,-7,3,1,6,2,5]
[5,1,6,3,4,7,2]=>[4,-7,5,2,3,6,1]
[5,1,6,3,7,4,2]=>[4,-7,5,2,6,3,1]
[5,1,6,7,4,3,2]=>[4,-7,5,6,3,2,1]
[5,1,7,3,4,2,6]=>[4,-7,6,2,3,1,5]
[5,2,1,6,4,3,7]=>[1,4,-7,5,3,2,6]
[5,2,6,1,4,3,7]=>[1,5,4,-7,3,2,6]
[5,2,6,7,1,3,4]=>[1,6,4,5,-7,2,3]
[5,2,6,7,4,1,3]=>[3,6,4,5,1,-7,2]
[5,3,1,2,6,7,4]=>[2,4,-7,1,5,6,3]
[5,3,1,2,7,4,6]=>[2,4,-7,1,6,3,5]
[5,3,1,6,4,7,2]=>[2,4,-7,5,3,6,1]
[5,3,2,1,4,7,6]=>[1,2,4,-7,3,6,5]
[5,3,2,6,1,4,7]=>[1,2,5,4,-7,3,6]
[5,3,2,6,4,1,7]=>[1,3,5,4,2,-7,6]
[5,3,4,1,6,7,2]=>[3,4,2,-7,5,6,1]
[5,3,4,1,7,2,6]=>[3,4,2,-7,6,1,5]
[5,3,6,1,4,7,2]=>[2,5,4,-7,3,6,1]
[5,3,6,2,1,4,7]=>[1,4,2,5,-7,3,6]
[5,3,6,2,4,1,7]=>[1,4,3,5,2,-7,6]
[5,3,6,7,1,4,2]=>[2,6,4,5,-7,3,1]
[5,3,6,7,2,1,4]=>[1,5,2,4,6,-7,3]
[5,4,1,2,6,7,3]=>[3,4,-7,1,5,6,2]
[5,4,1,2,7,3,6]=>[3,4,-7,1,6,2,5]
[5,4,1,6,7,3,2]=>[3,4,-7,5,6,2,1]
[5,4,2,1,7,3,6]=>[1,3,4,-7,6,2,5]
[5,4,2,6,1,3,7]=>[1,3,5,4,-7,2,6]
[5,4,2,6,7,1,3]=>[1,3,6,4,5,-7,2]
[5,4,3,1,7,6,2]=>[2,3,4,-7,6,5,1]
[5,4,3,2,1,6,7]=>[1,2,3,4,-7,5,6]
[5,4,3,2,7,1,6]=>[1,2,3,6,4,-7,5]
[5,4,3,6,1,7,2]=>[2,3,5,4,-7,6,1]
[5,4,3,6,2,1,7]=>[1,2,4,3,5,-7,6]
[5,4,6,1,7,3,2]=>[3,5,4,-7,6,2,1]
[5,4,6,2,1,3,7]=>[1,4,3,5,-7,2,6]
[5,4,6,2,7,1,3]=>[1,4,3,6,5,-7,2]
[5,4,6,3,1,7,2]=>[2,4,3,5,-7,6,1]
[5,4,6,3,2,1,7]=>[1,3,2,4,5,-7,6]
[5,6,1,2,3,7,4]=>[5,4,-7,1,2,6,3]
[5,6,2,3,4,7,1]=>[4,3,6,1,2,5,-7]
[5,6,2,3,7,4,1]=>[4,3,6,1,5,2,-7]
[5,6,2,7,4,3,1]=>[4,3,6,5,2,1,-7]
[5,6,7,3,4,2,1]=>[4,2,3,5,1,6,-7]
[5,7,1,2,3,4,6]=>[6,4,-7,1,2,3,5]
[5,7,1,2,6,3,4]=>[6,4,-7,1,5,2,3]
[5,7,1,2,6,4,3]=>[6,4,-7,1,5,3,2]
[5,7,1,3,2,6,4]=>[6,4,-7,2,1,5,3]
[5,7,1,3,6,4,2]=>[6,4,-7,2,5,3,1]
[5,7,1,6,2,4,3]=>[6,4,-7,5,1,3,2]
[5,7,1,6,4,3,2]=>[6,4,-7,5,3,2,1]
[5,7,2,1,4,3,6]=>[4,1,6,-7,3,2,5]
[5,7,2,3,4,1,6]=>[4,3,6,1,2,-7,5]
[5,7,2,3,6,1,4]=>[5,2,6,1,4,-7,3]
[5,7,2,6,1,3,4]=>[5,1,6,4,-7,2,3]
[5,7,2,6,4,1,3]=>[5,3,6,4,1,-7,2]
[5,7,3,1,4,6,2]=>[4,2,6,-7,3,5,1]
[5,7,3,2,1,4,6]=>[2,1,4,6,-7,3,5]
[5,7,3,2,4,1,6]=>[3,1,4,6,2,-7,5]
[5,7,3,6,1,4,2]=>[5,2,6,4,-7,3,1]
[5,7,3,6,2,1,4]=>[4,1,5,2,6,-7,3]
[5,7,4,1,2,6,3]=>[4,3,6,-7,1,5,2]
[5,7,4,1,6,3,2]=>[4,3,6,-7,5,2,1]
[5,7,4,2,1,3,6]=>[3,1,4,6,-7,2,5]
[5,7,4,2,6,1,3]=>[3,1,5,6,4,-7,2]
[5,7,4,3,1,6,2]=>[3,2,4,6,-7,5,1]
[5,7,4,3,2,1,6]=>[2,1,3,4,6,-7,5]
[6,1,2,3,4,7,5]=>[5,-7,1,2,3,6,4]
[6,1,2,3,7,5,4]=>[5,-7,1,2,6,4,3]
[6,1,2,5,3,7,4]=>[5,-7,1,4,2,6,3]
[6,1,2,7,4,5,3]=>[5,-7,1,6,3,4,2]
[6,1,3,7,2,5,4]=>[5,-7,2,6,1,4,3]
[6,1,3,7,5,4,2]=>[5,-7,2,6,4,3,1]
[6,1,4,2,3,7,5]=>[5,-7,3,1,2,6,4]
[6,1,4,2,7,5,3]=>[5,-7,3,1,6,4,2]
[6,1,4,3,2,7,5]=>[5,-7,3,2,1,6,4]
[6,1,4,3,7,5,2]=>[5,-7,3,2,6,4,1]
[6,1,4,5,2,7,3]=>[5,-7,3,4,1,6,2]
[6,1,4,7,2,5,3]=>[5,-7,3,6,1,4,2]
[6,1,4,7,5,3,2]=>[5,-7,3,6,4,2,1]
[6,1,5,2,3,7,4]=>[5,-7,4,1,2,6,3]
[6,1,7,2,3,4,5]=>[5,-7,6,1,2,3,4]
[6,1,7,2,5,4,3]=>[5,-7,6,1,4,3,2]
[6,1,7,3,2,5,4]=>[5,-7,6,2,1,4,3]
[6,1,7,3,4,5,2]=>[5,-7,6,2,3,4,1]
[6,1,7,3,5,4,2]=>[5,-7,6,2,4,3,1]
[6,1,7,5,2,4,3]=>[5,-7,6,4,1,3,2]
[6,1,7,5,4,3,2]=>[5,-7,6,4,3,2,1]
[6,2,1,5,4,3,7]=>[1,5,-7,4,3,2,6]
[6,2,1,7,5,4,3]=>[1,5,-7,6,4,3,2]
[6,2,3,7,5,1,4]=>[4,6,1,5,2,-7,3]
[6,2,4,3,7,1,5]=>[3,6,2,1,5,-7,4]
[6,2,4,7,5,1,3]=>[4,6,1,5,3,-7,2]
[6,2,7,1,4,3,5]=>[1,6,5,-7,3,2,4]
[6,2,7,3,5,1,4]=>[4,6,5,1,2,-7,3]
[6,2,7,5,1,3,4]=>[4,6,5,1,-7,2,3]
[6,2,7,5,4,1,3]=>[4,6,5,3,1,-7,2]
[6,3,1,2,4,7,5]=>[2,5,-7,1,3,6,4]
[6,3,1,5,2,7,4]=>[2,5,-7,4,1,6,3]
[6,3,1,5,4,7,2]=>[2,5,-7,4,3,6,1]
[6,3,2,1,4,5,7]=>[1,2,5,-7,3,4,6]
[6,3,2,5,1,4,7]=>[1,4,5,2,-7,3,6]
[6,3,2,5,4,1,7]=>[1,4,5,3,2,-7,6]
[6,3,4,1,2,7,5]=>[3,5,2,-7,1,6,4]
[6,3,4,5,1,7,2]=>[4,5,2,3,-7,6,1]
[6,3,4,7,1,5,2]=>[3,6,2,5,-7,4,1]
[6,3,4,7,2,1,5]=>[2,5,1,3,6,-7,4]
[6,3,5,1,2,7,4]=>[4,5,2,-7,1,6,3]
[6,3,7,1,2,4,5]=>[2,6,5,-7,1,3,4]
[6,3,7,1,4,5,2]=>[2,6,5,-7,3,4,1]
[6,3,7,2,1,4,5]=>[1,5,2,6,-7,3,4]
[6,3,7,2,4,1,5]=>[1,5,3,6,2,-7,4]
[6,3,7,5,1,4,2]=>[4,6,5,2,-7,3,1]
[6,3,7,5,2,1,4]=>[2,5,4,1,6,-7,3]
[6,4,1,2,3,7,5]=>[3,5,-7,1,2,6,4]
[6,4,1,5,2,7,3]=>[3,5,-7,4,1,6,2]
[6,4,1,5,7,3,2]=>[3,5,-7,4,6,2,1]
[6,4,2,1,5,3,7]=>[1,3,5,-7,4,2,6]
[6,4,2,5,1,3,7]=>[1,4,5,3,-7,2,6]
[6,4,2,5,7,1,3]=>[1,4,6,3,5,-7,2]
[6,4,3,1,5,7,2]=>[2,3,5,-7,4,6,1]
[6,4,3,2,1,7,5]=>[1,2,3,5,-7,6,4]
[6,4,3,2,5,1,7]=>[1,2,4,5,3,-7,6]
[6,4,3,5,1,7,2]=>[2,4,5,3,-7,6,1]
[6,4,3,5,2,1,7]=>[1,3,4,2,5,-7,6]
[6,4,7,1,2,5,3]=>[3,6,5,-7,1,4,2]
[6,4,7,1,5,3,2]=>[3,6,5,-7,4,2,1]
[6,4,7,2,1,3,5]=>[1,5,3,6,-7,2,4]
[6,4,7,2,5,1,3]=>[1,5,4,6,3,-7,2]
[6,4,7,3,1,5,2]=>[2,5,3,6,-7,4,1]
[6,4,7,3,2,1,5]=>[1,3,2,5,6,-7,4]
[6,5,1,2,7,4,3]=>[4,5,-7,1,6,3,2]
[6,5,1,3,2,7,4]=>[4,5,-7,2,1,6,3]
[6,5,1,3,7,4,2]=>[4,5,-7,2,6,3,1]
[6,5,1,7,2,4,3]=>[4,5,-7,6,1,3,2]
[6,5,1,7,4,3,2]=>[4,5,-7,6,3,2,1]
[6,5,2,1,4,3,7]=>[1,4,5,-7,3,2,6]
[6,5,2,3,7,1,4]=>[2,4,6,1,5,-7,3]
[6,5,2,7,1,3,4]=>[1,4,6,5,-7,2,3]
[6,5,2,7,4,1,3]=>[3,4,6,5,1,-7,2]
[6,5,3,1,4,7,2]=>[2,4,5,-7,3,6,1]
[6,5,3,2,1,4,7]=>[1,2,4,5,-7,3,6]
[6,5,3,2,4,1,7]=>[1,3,4,5,2,-7,6]
[6,5,3,7,1,4,2]=>[2,4,6,5,-7,3,1]
[6,5,3,7,2,1,4]=>[1,2,5,4,6,-7,3]
[6,5,4,1,2,7,3]=>[3,4,5,-7,1,6,2]
[6,5,4,1,7,3,2]=>[3,4,5,-7,6,2,1]
[6,5,4,2,1,3,7]=>[1,3,4,5,-7,2,6]
[6,5,4,2,7,1,3]=>[1,3,4,6,5,-7,2]
[6,5,4,3,1,7,2]=>[2,3,4,5,-7,6,1]
[6,5,4,3,2,1,7]=>[1,2,3,4,5,-7,6]
[6,7,1,5,2,3,4]=>[6,5,-7,4,1,2,3]
[6,7,2,3,4,5,1]=>[5,4,6,1,2,3,-7]
[6,7,4,1,2,3,5]=>[5,3,6,-7,1,2,4]
[6,7,5,1,2,3,4]=>[5,4,6,-7,1,2,3]
[7,1,2,3,4,5,6]=>[6,-7,1,2,3,4,5]
[7,1,2,3,6,4,5]=>[6,-7,1,2,5,3,4]
[7,1,2,5,3,4,6]=>[6,-7,1,4,2,3,5]
[7,1,2,5,6,3,4]=>[6,-7,1,4,5,2,3]
[7,1,2,6,3,4,5]=>[6,-7,1,5,2,3,4]
[7,1,4,2,3,5,6]=>[6,-7,3,1,2,4,5]
[7,1,4,2,6,3,5]=>[6,-7,3,1,5,2,4]
[7,1,4,5,2,3,6]=>[6,-7,3,4,1,2,5]
[7,1,4,5,6,2,3]=>[6,-7,3,4,5,1,2]
[7,1,4,6,2,3,5]=>[6,-7,3,5,1,2,4]
[7,1,5,2,3,4,6]=>[6,-7,4,1,2,3,5]
[7,1,5,2,6,3,4]=>[6,-7,4,1,5,2,3]
[7,1,6,5,2,3,4]=>[6,-7,5,4,1,2,3]
[7,3,1,2,4,5,6]=>[2,6,-7,1,3,4,5]
[7,3,1,2,6,4,5]=>[2,6,-7,1,5,3,4]
[7,3,1,5,2,4,6]=>[2,6,-7,4,1,3,5]
[7,3,1,5,6,2,4]=>[2,6,-7,4,5,1,3]
[7,3,1,6,2,4,5]=>[2,6,-7,5,1,3,4]
[7,3,4,1,2,5,6]=>[3,6,2,-7,1,4,5]
[7,3,4,1,6,2,5]=>[3,6,2,-7,5,1,4]
[7,3,4,5,1,2,6]=>[4,6,2,3,-7,1,5]
[7,3,4,5,6,1,2]=>[5,6,2,3,4,-7,1]
[7,3,4,6,1,2,5]=>[5,6,2,3,-7,1,4]
[7,3,5,1,2,4,6]=>[4,6,2,-7,1,3,5]
[7,3,5,1,6,2,4]=>[4,6,2,-7,5,1,3]
[7,3,6,5,1,2,4]=>[5,6,4,2,-7,1,3]
[7,4,1,2,3,5,6]=>[3,6,-7,1,2,4,5]
[7,4,1,2,6,3,5]=>[3,6,-7,1,5,2,4]
[7,4,1,5,2,3,6]=>[3,6,-7,4,1,2,5]
[7,4,1,5,6,2,3]=>[3,6,-7,4,5,1,2]
[7,4,1,6,2,3,5]=>[3,6,-7,5,1,2,4]
[7,5,4,1,2,3,6]=>[3,4,6,-7,1,2,5]
[7,5,4,1,6,2,3]=>[3,4,6,-7,5,1,2]
[7,6,1,2,3,4,5]=>[5,6,-7,1,2,3,4]
[7,6,4,5,1,2,3]=>[4,5,6,3,-7,1,2]
[2,1,4,3,6,5,8,7]=>[1,-8,3,2,5,4,7,6]
[3,4,1,2,6,5,8,7]=>[3,2,-8,1,5,4,7,6]
[3,4,2,1,6,5,8,7]=>[2,1,3,-8,5,4,7,6]
[3,5,2,6,1,4,8,7]=>[2,1,5,4,-8,3,7,6]
[3,5,2,6,4,1,8,7]=>[3,1,5,4,2,-8,7,6]
[3,5,2,7,4,8,1,6]=>[3,1,7,4,2,6,-8,5]
[3,5,2,7,4,8,6,1]=>[3,1,7,5,2,6,4,-8]
[4,5,7,2,3,8,6,1]=>[5,2,3,7,1,6,4,-8]
[4,5,7,2,3,8,1,6]=>[4,2,3,7,1,6,-8,5]
[4,5,6,2,3,1,8,7]=>[4,2,3,5,1,-8,7,6]
[4,5,6,2,1,3,8,7]=>[4,1,3,5,-8,2,7,6]
[4,5,6,1,2,3,8,7]=>[5,3,4,-8,1,2,7,6]
[3,5,1,6,2,4,8,7]=>[4,2,-8,5,1,3,7,6]
[2,1,5,6,3,4,8,7]=>[1,-8,4,5,2,3,7,6]
[2,1,5,6,4,3,8,7]=>[1,-8,4,5,3,2,7,6]
[3,5,1,6,4,2,8,7]=>[4,2,-8,5,3,1,7,6]
[4,5,6,1,3,2,8,7]=>[5,3,4,-8,2,1,7,6]
[4,5,6,3,1,2,8,7]=>[4,2,3,5,-8,1,7,6]
[4,5,6,3,2,1,8,7]=>[3,1,2,4,5,-8,7,6]
[4,5,7,3,2,8,1,6]=>[3,1,2,4,7,6,-8,5]
[4,5,7,3,2,8,6,1]=>[3,1,2,5,7,6,4,-8]
[4,6,7,3,8,2,5,1]=>[4,1,2,6,5,7,3,-8]
[4,6,7,3,8,2,1,5]=>[3,1,2,6,5,7,-8,4]
[4,6,7,3,8,1,2,5]=>[5,2,3,7,6,-8,1,4]
[4,5,7,3,1,8,2,6]=>[4,2,3,6,-8,7,1,5]
[4,5,7,1,3,8,2,6]=>[6,3,4,-8,2,7,1,5]
[3,5,1,7,4,8,2,6]=>[4,2,-8,6,3,7,1,5]
[2,1,5,7,4,8,3,6]=>[1,-8,4,6,3,7,2,5]
[2,1,5,7,4,8,6,3]=>[1,-8,4,6,3,7,5,2]
[3,5,1,7,4,8,6,2]=>[4,2,-8,6,3,7,5,1]
[4,5,7,1,3,8,6,2]=>[6,3,4,-8,2,7,5,1]
[4,5,7,3,1,8,6,2]=>[4,2,3,6,-8,7,5,1]
[4,6,7,3,8,1,5,2]=>[5,2,3,7,6,-8,4,1]
[4,6,7,3,8,5,1,2]=>[5,2,4,7,6,3,-8,1]
[4,6,7,3,8,5,2,1]=>[4,1,3,6,5,2,7,-8]
[5,6,7,8,3,4,2,1]=>[5,2,3,4,6,1,7,-8]
[5,6,7,8,3,4,1,2]=>[6,3,4,5,7,2,-8,1]
[5,6,7,8,3,1,4,2]=>[6,2,4,5,7,-8,3,1]
[5,6,7,8,1,3,4,2]=>[7,4,5,6,-8,2,3,1]
[4,6,7,1,8,3,5,2]=>[6,3,5,-8,7,2,4,1]
[3,6,1,7,8,4,5,2]=>[5,2,-8,6,7,3,4,1]
[2,1,6,7,8,4,5,3]=>[1,-8,5,6,7,3,4,2]
[2,1,6,7,8,4,3,5]=>[1,-8,5,6,7,3,2,4]
[3,6,1,7,8,4,2,5]=>[5,2,-8,6,7,3,1,4]
[4,6,7,1,8,3,2,5]=>[6,3,5,-8,7,2,1,4]
[5,6,7,8,1,3,2,4]=>[7,4,5,6,-8,2,1,3]
[5,6,7,8,3,1,2,4]=>[6,2,4,5,7,-8,1,3]
[5,6,7,8,3,2,1,4]=>[5,1,2,4,6,7,-8,3]
[5,6,7,8,3,2,4,1]=>[5,1,3,4,6,7,2,-8]
[5,6,7,8,2,3,4,1]=>[6,3,4,5,7,1,2,-8]
[5,6,7,8,2,3,1,4]=>[6,2,4,5,7,1,-8,3]
[5,6,7,8,2,1,3,4]=>[6,1,4,5,7,-8,2,3]
[5,6,7,8,1,2,3,4]=>[7,4,5,6,-8,1,2,3]
[4,6,7,1,8,2,3,5]=>[6,3,5,-8,7,1,2,4]
[3,6,1,7,8,2,4,5]=>[5,2,-8,6,7,1,3,4]
[2,1,6,7,8,3,4,5]=>[1,-8,5,6,7,2,3,4]
[2,1,5,7,3,8,4,6]=>[1,-8,4,6,2,7,3,5]
[3,5,1,7,2,8,4,6]=>[4,2,-8,6,1,7,3,5]
[4,5,7,1,2,8,3,6]=>[6,3,4,-8,1,7,2,5]
[4,5,7,2,1,8,3,6]=>[4,1,3,6,-8,7,2,5]
[4,6,7,2,8,1,3,5]=>[5,1,3,7,6,-8,2,4]
[4,6,7,2,8,3,1,5]=>[5,2,3,7,6,1,-8,4]
[4,6,7,2,8,3,5,1]=>[5,2,4,7,6,1,3,-8]
[3,6,2,7,8,4,5,1]=>[4,1,7,5,6,2,3,-8]
[3,6,2,7,8,4,1,5]=>[3,1,7,5,6,2,-8,4]
[3,6,2,7,8,1,4,5]=>[2,1,7,5,6,-8,3,4]
[3,5,2,7,1,8,4,6]=>[2,1,6,4,-8,7,3,5]
[3,4,2,1,7,8,5,6]=>[2,1,3,-8,6,7,4,5]
[3,4,1,2,7,8,5,6]=>[3,2,-8,1,6,7,4,5]
[2,1,4,3,7,8,5,6]=>[1,-8,3,2,6,7,4,5]
[2,1,4,3,7,8,6,5]=>[1,-8,3,2,6,7,5,4]
[3,4,1,2,7,8,6,5]=>[3,2,-8,1,6,7,5,4]
[3,4,2,1,7,8,6,5]=>[2,1,3,-8,6,7,5,4]
[3,5,2,7,1,8,6,4]=>[2,1,6,4,-8,7,5,3]
[3,6,2,7,8,1,5,4]=>[2,1,7,5,6,-8,4,3]
[3,6,2,7,8,5,1,4]=>[4,1,7,5,6,2,-8,3]
[3,6,2,7,8,5,4,1]=>[4,1,7,5,6,3,2,-8]
[4,6,7,2,8,5,3,1]=>[5,2,4,7,6,3,1,-8]
[4,6,7,2,8,5,1,3]=>[5,1,4,7,6,3,-8,2]
[4,6,7,2,8,1,5,3]=>[5,1,3,7,6,-8,4,2]
[4,5,7,2,1,8,6,3]=>[4,1,3,6,-8,7,5,2]
[4,5,7,1,2,8,6,3]=>[6,3,4,-8,1,7,5,2]
[3,5,1,7,2,8,6,4]=>[4,2,-8,6,1,7,5,3]
[2,1,5,7,3,8,6,4]=>[1,-8,4,6,2,7,5,3]
[2,1,6,7,8,3,5,4]=>[1,-8,5,6,7,2,4,3]
[3,6,1,7,8,2,5,4]=>[5,2,-8,6,7,1,4,3]
[4,6,7,1,8,2,5,3]=>[6,3,5,-8,7,1,4,2]
[5,6,7,8,1,2,4,3]=>[7,4,5,6,-8,1,3,2]
[5,6,7,8,2,1,4,3]=>[6,1,4,5,7,-8,3,2]
[5,6,7,8,2,4,1,3]=>[6,3,4,5,7,1,-8,2]
[5,6,7,8,2,4,3,1]=>[6,3,4,5,7,2,1,-8]
[5,6,7,8,4,2,3,1]=>[5,2,3,4,6,7,1,-8]
[5,6,7,8,4,2,1,3]=>[5,1,3,4,6,7,-8,2]
[5,6,7,8,4,1,2,3]=>[6,3,4,5,7,-8,1,2]
[5,6,7,8,1,4,2,3]=>[7,4,5,6,-8,3,1,2]
[4,6,7,1,8,5,2,3]=>[6,3,5,-8,7,4,1,2]
[3,6,1,7,8,5,2,4]=>[5,2,-8,6,7,4,1,3]
[2,1,6,7,8,5,3,4]=>[1,-8,5,6,7,4,2,3]
[2,1,6,7,8,5,4,3]=>[1,-8,5,6,7,4,3,2]
[3,6,1,7,8,5,4,2]=>[5,2,-8,6,7,4,3,1]
[4,6,7,1,8,5,3,2]=>[6,3,5,-8,7,4,2,1]
[5,6,7,8,1,4,3,2]=>[7,4,5,6,-8,3,2,1]
[5,6,7,8,4,1,3,2]=>[6,3,4,5,7,-8,2,1]
[5,6,7,8,4,3,1,2]=>[5,2,3,4,6,7,-8,1]
[5,6,7,8,4,3,2,1]=>[4,1,2,3,5,6,7,-8]
[4,3,2,1,6,5,8,7]=>[1,2,3,-8,5,4,7,6]
[5,3,2,6,1,4,8,7]=>[1,2,5,4,-8,3,7,6]
[6,3,2,5,4,1,8,7]=>[1,4,5,3,2,-8,7,6]
[7,3,2,5,4,8,1,6]=>[1,4,7,3,2,6,-8,5]
[8,3,2,5,4,7,6,1]=>[1,6,7,3,2,5,4,-8]
[8,4,5,2,3,7,6,1]=>[3,6,2,7,1,5,4,-8]
[7,4,5,2,3,8,1,6]=>[3,4,2,7,1,6,-8,5]
[6,4,5,2,3,1,8,7]=>[3,4,2,5,1,-8,7,6]
[5,4,6,2,1,3,8,7]=>[1,4,3,5,-8,2,7,6]
[2,1,6,5,4,3,8,7]=>[1,-8,5,4,3,2,7,6]
[3,6,1,5,4,2,8,7]=>[5,2,-8,4,3,1,7,6]
[4,6,5,1,3,2,8,7]=>[5,4,3,-8,2,1,7,6]
[5,6,4,3,1,2,8,7]=>[3,2,4,5,-8,1,7,6]
[6,5,4,3,2,1,8,7]=>[1,2,3,4,5,-8,7,6]
[7,5,4,3,2,8,1,6]=>[1,2,3,4,7,6,-8,5]
[8,5,4,3,2,7,6,1]=>[1,2,3,6,7,5,4,-8]
[8,6,4,3,7,2,5,1]=>[1,2,5,6,4,7,3,-8]
[7,6,4,3,8,2,1,5]=>[1,2,3,6,5,7,-8,4]
[6,7,4,3,8,1,2,5]=>[3,2,5,7,6,-8,1,4]
[5,7,4,3,1,8,2,6]=>[3,2,4,6,-8,7,1,5]
[4,7,5,1,3,8,2,6]=>[6,4,3,-8,2,7,1,5]
[3,7,1,5,4,8,2,6]=>[6,2,-8,4,3,7,1,5]
[2,1,7,5,4,8,3,6]=>[1,-8,6,4,3,7,2,5]
[2,1,8,5,4,7,6,3]=>[1,-8,7,4,3,6,5,2]
[3,8,1,5,4,7,6,2]=>[7,2,-8,4,3,6,5,1]
[4,8,5,1,3,7,6,2]=>[7,4,3,-8,2,6,5,1]
[5,8,4,3,1,7,6,2]=>[3,2,4,7,-8,6,5,1]
[6,8,4,3,7,1,5,2]=>[3,2,6,7,5,-8,4,1]
[7,8,4,3,6,5,1,2]=>[5,2,6,7,4,3,-8,1]
[8,7,4,3,6,5,2,1]=>[1,4,5,6,3,2,7,-8]
[8,7,5,6,3,4,2,1]=>[3,4,5,2,6,1,7,-8]
[7,8,5,6,3,4,1,2]=>[5,4,6,3,7,2,-8,1]
[6,8,5,7,3,1,4,2]=>[5,2,6,4,7,-8,3,1]
[5,8,6,7,1,3,4,2]=>[7,6,4,5,-8,2,3,1]
[4,8,6,1,7,3,5,2]=>[7,5,3,-8,6,2,4,1]
[3,8,1,6,7,4,5,2]=>[7,2,-8,5,6,3,4,1]
[2,1,8,6,7,4,5,3]=>[1,-8,7,5,6,3,4,2]
[2,1,7,6,8,4,3,5]=>[1,-8,6,5,7,3,2,4]
[3,7,1,6,8,4,2,5]=>[6,2,-8,5,7,3,1,4]
[4,7,6,1,8,3,2,5]=>[6,5,3,-8,7,2,1,4]
[5,7,6,8,1,3,2,4]=>[7,5,4,6,-8,2,1,3]
[6,7,5,8,3,1,2,4]=>[4,2,6,5,7,-8,1,3]
[7,6,5,8,3,2,1,4]=>[1,2,5,4,6,7,-8,3]
[8,6,5,7,3,2,4,1]=>[1,4,5,3,6,7,2,-8]
[8,5,6,7,2,3,4,1]=>[5,6,3,4,7,1,2,-8]
[7,5,6,8,2,3,1,4]=>[4,6,2,5,7,1,-8,3]
[6,5,7,8,2,1,3,4]=>[1,6,4,5,7,-8,2,3]
[5,4,7,2,1,8,3,6]=>[1,4,3,6,-8,7,2,5]
[6,4,7,2,8,1,3,5]=>[1,5,3,7,6,-8,2,4]
[7,4,6,2,8,3,1,5]=>[3,5,2,7,6,1,-8,4]
[8,4,6,2,7,3,5,1]=>[4,6,2,7,5,1,3,-8]
[8,3,2,6,7,4,5,1]=>[1,6,7,4,5,2,3,-8]
[7,3,2,6,8,4,1,5]=>[1,5,7,3,6,2,-8,4]
[6,3,2,7,8,1,4,5]=>[1,2,7,5,6,-8,3,4]
[5,3,2,7,1,8,4,6]=>[1,2,6,4,-8,7,3,5]
[4,3,2,1,7,8,5,6]=>[1,2,3,-8,6,7,4,5]
[2,1,4,3,8,7,6,5]=>[1,-8,3,2,7,6,5,4]
[3,4,1,2,8,7,6,5]=>[3,2,-8,1,7,6,5,4]
[4,3,2,1,8,7,6,5]=>[1,2,3,-8,7,6,5,4]
[5,3,2,8,1,7,6,4]=>[1,2,7,4,-8,6,5,3]
[6,3,2,8,7,1,5,4]=>[1,2,7,6,5,-8,4,3]
[7,3,2,8,6,5,1,4]=>[1,5,7,6,4,2,-8,3]
[8,3,2,7,6,5,4,1]=>[1,6,7,5,4,3,2,-8]
[8,4,7,2,6,5,3,1]=>[5,6,2,7,4,3,1,-8]
[7,4,8,2,6,5,1,3]=>[1,6,5,7,4,3,-8,2]
[6,4,8,2,7,1,5,3]=>[1,6,3,7,5,-8,4,2]
[5,4,8,2,1,7,6,3]=>[1,4,3,7,-8,6,5,2]
[4,5,8,1,2,7,6,3]=>[7,3,4,-8,1,6,5,2]
[3,5,1,8,2,7,6,4]=>[4,2,-8,7,1,6,5,3]
[2,1,5,8,3,7,6,4]=>[1,-8,4,7,2,6,5,3]
[2,1,6,8,7,3,5,4]=>[1,-8,5,7,6,2,4,3]
[3,6,1,8,7,2,5,4]=>[5,2,-8,7,6,1,4,3]
[4,6,8,1,7,2,5,3]=>[7,3,5,-8,6,1,4,2]
[5,6,8,7,1,2,4,3]=>[7,4,6,5,-8,1,3,2]
[6,5,8,7,2,1,4,3]=>[1,6,5,4,7,-8,3,2]
[7,5,8,6,2,4,1,3]=>[4,6,5,3,7,1,-8,2]
[8,5,7,6,2,4,3,1]=>[5,6,4,3,7,2,1,-8]
[8,6,7,5,4,2,3,1]=>[3,4,2,5,6,7,1,-8]
[7,6,8,5,4,2,1,3]=>[1,4,3,5,6,7,-8,2]
[6,7,8,5,4,1,2,3]=>[5,3,4,6,7,-8,1,2]
[5,7,8,6,1,4,2,3]=>[7,5,6,4,-8,3,1,2]
[4,7,8,1,6,5,2,3]=>[7,3,6,-8,5,4,1,2]
[3,7,1,8,6,5,2,4]=>[6,2,-8,7,5,4,1,3]
[2,1,7,8,6,5,3,4]=>[1,-8,6,7,5,4,2,3]
[2,1,8,7,6,5,4,3]=>[1,-8,7,6,5,4,3,2]
[3,8,1,7,6,5,4,2]=>[7,2,-8,6,5,4,3,1]
[4,8,7,1,6,5,3,2]=>[7,6,3,-8,5,4,2,1]
[5,8,7,6,1,4,3,2]=>[7,6,5,4,-8,3,2,1]
[6,8,7,5,4,1,3,2]=>[5,4,3,6,7,-8,2,1]
[7,8,6,5,4,3,1,2]=>[3,2,4,5,6,7,-8,1]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,-8]
[7,8,5,6,2,1,4,3]=>[5,4,6,1,7,-8,3,2]
[7,8,5,6,1,2,4,3]=>[6,5,7,4,-8,1,3,2]
[7,8,4,1,6,2,5,3]=>[6,3,7,-8,5,1,4,2]
[7,8,1,4,6,2,5,3]=>[7,6,-8,3,5,1,4,2]
[6,1,8,4,7,2,5,3]=>[5,-8,7,3,6,1,4,2]
[1,6,8,4,7,2,5,3]=>[-8,5,7,3,6,1,4,2]
[1,6,8,3,2,7,5,4]=>[-8,5,7,2,1,6,4,3]
[6,1,8,3,2,7,5,4]=>[5,-8,7,2,1,6,4,3]
[7,8,1,3,2,6,5,4]=>[7,6,-8,2,1,5,4,3]
[7,8,3,1,2,6,5,4]=>[6,2,7,-8,1,5,4,3]
[7,8,3,2,1,6,5,4]=>[2,1,6,7,-8,5,4,3]
[7,8,4,2,6,1,5,3]=>[5,1,6,7,3,-8,4,2]
[7,8,3,4,6,5,1,2]=>[6,5,7,2,4,3,-8,1]
[7,8,2,4,6,1,5,3]=>[6,5,7,1,3,-8,4,2]
[7,8,2,3,1,6,5,4]=>[6,2,7,1,-8,5,4,3]
[7,8,2,1,3,6,5,4]=>[6,1,7,-8,2,5,4,3]
[7,8,1,2,3,6,5,4]=>[7,6,-8,1,2,5,4,3]
[6,1,8,2,3,7,5,4]=>[5,-8,7,1,2,6,4,3]
[1,6,8,2,3,7,5,4]=>[-8,5,7,1,2,6,4,3]
[1,5,2,8,3,7,6,4]=>[-8,4,1,7,2,6,5,3]
[5,1,2,8,3,7,6,4]=>[4,-8,1,7,2,6,5,3]
[5,2,1,8,3,7,6,4]=>[1,4,-8,7,2,6,5,3]
[6,2,8,1,3,7,5,4]=>[1,7,5,-8,2,6,4,3]
[6,2,8,3,1,7,5,4]=>[2,7,5,1,-8,6,4,3]
[6,2,8,4,7,1,5,3]=>[3,7,6,1,5,-8,4,2]
[6,3,8,4,7,5,1,2]=>[4,7,6,2,5,3,-8,1]
[3,6,8,4,7,5,1,2]=>[7,4,6,2,5,3,-8,1]
[2,6,8,4,7,1,5,3]=>[7,3,6,1,5,-8,4,2]
[2,6,8,3,1,7,5,4]=>[7,2,5,1,-8,6,4,3]
[2,6,8,1,3,7,5,4]=>[7,1,5,-8,2,6,4,3]
[2,5,1,8,3,7,6,4]=>[4,1,-8,7,2,6,5,3]
[1,2,5,8,3,7,6,4]=>[-8,1,4,7,2,6,5,3]
[1,2,4,3,8,7,6,5]=>[-8,1,3,2,7,6,5,4]
[2,4,1,3,8,7,6,5]=>[3,1,-8,2,7,6,5,4]
[2,4,3,1,8,7,6,5]=>[3,2,1,-8,7,6,5,4]
[2,5,3,8,1,7,6,4]=>[7,2,1,4,-8,6,5,3]
[2,5,4,8,7,1,6,3]=>[7,3,1,6,4,-8,5,2]
[3,5,4,8,7,6,1,2]=>[7,3,2,6,5,4,-8,1]
[5,3,4,8,7,6,1,2]=>[3,7,2,6,5,4,-8,1]
[5,2,4,8,7,1,6,3]=>[3,7,1,6,4,-8,5,2]
[5,2,3,8,1,7,6,4]=>[2,7,1,4,-8,6,5,3]
[4,2,3,1,8,7,6,5]=>[2,3,1,-8,7,6,5,4]
[4,2,1,3,8,7,6,5]=>[1,3,-8,2,7,6,5,4]
[4,1,2,3,8,7,6,5]=>[3,-8,1,2,7,6,5,4]
[1,4,2,3,8,7,6,5]=>[-8,3,1,2,7,6,5,4]
[1,4,3,2,8,7,6,5]=>[-8,3,2,1,7,6,5,4]
[4,1,3,2,8,7,6,5]=>[3,-8,2,1,7,6,5,4]
[4,3,1,2,8,7,6,5]=>[2,3,-8,1,7,6,5,4]
[5,4,2,8,7,1,6,3]=>[1,3,7,6,4,-8,5,2]
[5,4,3,8,7,6,1,2]=>[2,3,7,6,5,4,-8,1]
[6,4,8,3,7,5,1,2]=>[2,6,4,7,5,3,-8,1]
[6,3,8,2,1,7,5,4]=>[1,5,2,7,-8,6,4,3]
[6,3,8,1,2,7,5,4]=>[2,7,5,-8,1,6,4,3]
[5,3,1,8,2,7,6,4]=>[2,4,-8,7,1,6,5,3]
[5,1,3,8,2,7,6,4]=>[4,-8,2,7,1,6,5,3]
[1,5,3,8,2,7,6,4]=>[-8,4,2,7,1,6,5,3]
[1,5,4,8,7,2,6,3]=>[-8,4,3,7,6,1,5,2]
[5,1,4,8,7,2,6,3]=>[4,-8,3,7,6,1,5,2]
[5,4,1,8,7,2,6,3]=>[3,4,-8,7,6,1,5,2]
[6,4,8,1,7,2,5,3]=>[3,7,5,-8,6,1,4,2]
[6,5,8,7,1,2,4,3]=>[4,7,6,5,-8,1,3,2]
[6,5,8,7,3,4,1,2]=>[3,6,5,4,7,2,-8,1]
[5,6,8,7,3,4,1,2]=>[6,3,5,4,7,2,-8,1]
[5,6,8,7,2,1,4,3]=>[6,1,5,4,7,-8,3,2]
[4,5,1,8,7,2,6,3]=>[4,3,-8,7,6,1,5,2]
[4,1,5,8,7,2,6,3]=>[3,-8,4,7,6,1,5,2]
[1,4,5,8,7,2,6,3]=>[-8,3,4,7,6,1,5,2]
[1,3,5,8,2,7,6,4]=>[-8,2,4,7,1,6,5,3]
[3,1,5,8,2,7,6,4]=>[2,-8,4,7,1,6,5,3]
[3,6,8,1,2,7,5,4]=>[7,2,5,-8,1,6,4,3]
[3,6,8,2,1,7,5,4]=>[5,1,2,7,-8,6,4,3]
[4,6,8,2,7,1,5,3]=>[6,1,3,7,5,-8,4,2]
[4,6,8,3,7,5,1,2]=>[6,2,4,7,5,3,-8,1]
[4,5,3,8,7,6,1,2]=>[3,2,7,6,5,4,-8,1]
[4,5,2,8,7,1,6,3]=>[3,1,7,6,4,-8,5,2]
[3,5,2,8,1,7,6,4]=>[2,1,7,4,-8,6,5,3]
[3,4,2,1,8,7,6,5]=>[2,1,3,-8,7,6,5,4]
[3,1,4,2,8,7,6,5]=>[2,-8,3,1,7,6,5,4]
[1,3,4,2,8,7,6,5]=>[-8,2,3,1,7,6,5,4]
[1,3,2,4,8,7,6,5]=>[-8,2,1,3,7,6,5,4]
[3,1,2,4,8,7,6,5]=>[2,-8,1,3,7,6,5,4]
[3,2,1,4,8,7,6,5]=>[1,2,-8,3,7,6,5,4]
[3,2,4,1,8,7,6,5]=>[1,3,2,-8,7,6,5,4]
[3,2,5,8,1,7,6,4]=>[1,7,2,4,-8,6,5,3]
[4,2,5,8,7,1,6,3]=>[1,7,3,6,4,-8,5,2]
[4,3,5,8,7,6,1,2]=>[2,7,3,6,5,4,-8,1]
[3,4,5,8,7,6,1,2]=>[7,2,3,6,5,4,-8,1]
[2,4,5,8,7,1,6,3]=>[7,1,3,6,4,-8,5,2]
[2,3,5,8,1,7,6,4]=>[7,1,2,4,-8,6,5,3]
[2,3,4,1,8,7,6,5]=>[3,1,2,-8,7,6,5,4]
[2,3,1,4,8,7,6,5]=>[2,1,-8,3,7,6,5,4]
[2,1,3,4,8,7,6,5]=>[1,-8,2,3,7,6,5,4]
[1,2,3,4,8,7,6,5]=>[-8,1,2,3,7,6,5,4]
[7,8,5,6,1,2,3,4]=>[6,5,7,4,-8,1,2,3]
[7,8,4,1,6,2,3,5]=>[6,3,7,-8,5,1,2,4]
[7,8,1,4,5,2,3,6]=>[7,6,-8,3,4,1,2,5]
[6,1,8,4,5,2,3,7]=>[5,-8,7,3,4,1,2,6]
[1,6,7,4,5,2,3,8]=>[-8,5,6,3,4,1,2,7]
[1,6,7,3,2,5,4,8]=>[-8,5,6,2,1,4,3,7]
[6,1,8,3,2,5,4,7]=>[5,-8,7,2,1,4,3,6]
[7,8,1,3,2,5,4,6]=>[7,6,-8,2,1,4,3,5]
[7,8,3,1,2,6,4,5]=>[6,2,7,-8,1,5,3,4]
[7,8,3,4,5,6,1,2]=>[6,5,7,2,3,4,-8,1]
[7,8,2,4,5,1,6,3]=>[6,4,7,1,3,-8,5,2]
[7,8,2,3,1,5,6,4]=>[6,2,7,1,-8,4,5,3]
[7,8,2,1,3,4,6,5]=>[6,1,7,-8,2,3,5,4]
[7,8,1,2,3,4,5,6]=>[7,6,-8,1,2,3,4,5]
[6,1,8,2,3,4,5,7]=>[5,-8,7,1,2,3,4,6]
[1,6,7,2,3,4,5,8]=>[-8,5,6,1,2,3,4,7]
[1,5,2,7,3,4,6,8]=>[-8,4,1,6,2,3,5,7]
[5,1,2,8,3,4,6,7]=>[4,-8,1,7,2,3,5,6]
[5,2,1,8,3,4,7,6]=>[1,4,-8,7,2,3,6,5]
[6,2,8,1,3,4,7,5]=>[1,7,5,-8,2,3,6,4]
[6,2,8,3,1,5,7,4]=>[2,7,5,1,-8,4,6,3]
[6,2,8,4,5,1,7,3]=>[4,7,5,1,3,-8,6,2]
[6,3,8,4,5,7,1,2]=>[4,7,6,2,3,5,-8,1]
[3,6,7,4,5,8,1,2]=>[7,4,5,2,3,6,-8,1]
[2,6,7,4,5,1,8,3]=>[6,4,5,1,3,-8,7,2]
[2,6,7,3,1,5,8,4]=>[6,2,5,1,-8,4,7,3]
[2,6,7,1,3,4,8,5]=>[6,1,5,-8,2,3,7,4]
[2,5,1,7,3,4,8,6]=>[4,1,-8,6,2,3,7,5]
[1,2,5,6,3,4,7,8]=>[-8,1,4,5,2,3,6,7]
[1,2,4,3,6,5,7,8]=>[-8,1,3,2,5,4,6,7]
[2,4,1,3,7,5,8,6]=>[3,1,-8,2,6,4,7,5]
[2,4,3,1,7,6,8,5]=>[3,2,1,-8,6,5,7,4]
[2,5,3,7,1,6,8,4]=>[6,2,1,4,-8,5,7,3]
[2,5,4,7,6,1,8,3]=>[6,3,1,5,4,-8,7,2]
[3,5,4,7,6,8,1,2]=>[7,3,2,5,4,6,-8,1]
[5,3,4,8,6,7,1,2]=>[3,7,2,6,4,5,-8,1]
[5,2,4,8,6,1,7,3]=>[3,7,1,5,4,-8,6,2]
[5,2,3,8,1,6,7,4]=>[2,7,1,4,-8,5,6,3]
[4,2,3,1,8,6,7,5]=>[2,3,1,-8,7,5,6,4]
[4,2,1,3,8,5,7,6]=>[1,3,-8,2,7,4,6,5]
[4,1,2,3,8,5,6,7]=>[3,-8,1,2,7,4,5,6]
[1,4,2,3,7,5,6,8]=>[-8,3,1,2,6,4,5,7]
[1,4,3,2,7,6,5,8]=>[-8,3,2,1,6,5,4,7]
[4,1,3,2,8,6,5,7]=>[3,-8,2,1,7,5,4,6]
[4,3,1,2,8,7,5,6]=>[2,3,-8,1,7,6,4,5]
[6,3,8,1,2,7,4,5]=>[2,7,5,-8,1,6,3,4]
[5,3,1,8,2,7,4,6]=>[2,4,-8,7,1,6,3,5]
[5,1,3,8,2,6,4,7]=>[4,-8,2,7,1,5,3,6]
[1,5,3,7,2,6,4,8]=>[-8,4,2,6,1,5,3,7]
[1,5,4,7,6,2,3,8]=>[-8,4,3,6,5,1,2,7]
[5,1,4,8,6,2,3,7]=>[4,-8,3,7,5,1,2,6]
[5,4,1,8,7,2,3,6]=>[3,4,-8,7,6,1,2,5]
[6,4,8,1,7,2,3,5]=>[3,7,5,-8,6,1,2,4]
[6,5,8,7,1,2,3,4]=>[4,7,6,5,-8,1,2,3]
[4,5,1,7,8,2,3,6]=>[4,3,-8,6,7,1,2,5]
[4,1,5,6,8,2,3,7]=>[3,-8,4,5,7,1,2,6]
[1,4,5,6,7,2,3,8]=>[-8,3,4,5,6,1,2,7]
[1,3,5,6,2,7,4,8]=>[-8,2,4,5,1,6,3,7]
[3,1,5,6,2,8,4,7]=>[2,-8,4,5,1,7,3,6]
[3,6,7,1,2,8,4,5]=>[6,2,5,-8,1,7,3,4]
[3,6,7,2,1,8,5,4]=>[5,1,2,6,-8,7,4,3]
[4,5,3,7,8,6,1,2]=>[3,2,7,5,6,4,-8,1]
[4,5,2,7,8,1,6,3]=>[3,1,7,4,6,-8,5,2]
[3,1,4,2,6,8,5,7]=>[2,-8,3,1,5,7,4,6]
[1,3,4,2,6,7,5,8]=>[-8,2,3,1,5,6,4,7]
[1,3,2,4,5,7,6,8]=>[-8,2,1,3,4,6,5,7]
[3,1,2,4,5,8,6,7]=>[2,-8,1,3,4,7,5,6]
[3,2,1,4,5,8,7,6]=>[1,2,-8,3,4,7,6,5]
[3,2,4,1,6,8,7,5]=>[1,3,2,-8,5,7,6,4]
[3,2,5,6,1,8,7,4]=>[1,5,2,4,-8,7,6,3]
[4,2,5,6,8,1,7,3]=>[1,7,3,4,5,-8,6,2]
[4,3,5,6,8,7,1,2]=>[2,7,3,4,6,5,-8,1]
[3,4,5,6,7,8,1,2]=>[7,2,3,4,5,6,-8,1]
[2,4,5,6,7,1,8,3]=>[6,1,3,4,5,-8,7,2]
[2,3,5,6,1,7,8,4]=>[5,1,2,4,-8,6,7,3]
[2,3,4,1,6,7,8,5]=>[3,1,2,-8,5,6,7,4]
[2,3,1,4,5,7,8,6]=>[2,1,-8,3,4,6,7,5]
[2,1,3,4,5,6,8,7]=>[1,-8,2,3,4,5,7,6]
[1,2,3,4,5,6,7,8]=>[-8,1,2,3,4,5,6,7]
[4,3,1,2,6,5,8,7]=>[2,3,-8,1,5,4,7,6]
[5,3,1,6,2,4,8,7]=>[2,4,-8,5,1,3,7,6]
[6,3,1,5,2,4,8,7]=>[2,5,-8,4,1,3,7,6]
[7,3,1,5,2,8,4,6]=>[2,6,-8,4,1,7,3,5]
[8,3,1,5,2,7,4,6]=>[2,7,-8,4,1,6,3,5]
[8,4,5,1,2,7,3,6]=>[4,7,3,-8,1,6,2,5]
[7,4,5,1,2,8,3,6]=>[4,6,3,-8,1,7,2,5]
[6,4,5,1,2,3,8,7]=>[4,5,3,-8,1,2,7,6]
[5,4,6,1,2,3,8,7]=>[3,5,4,-8,1,2,7,6]
[2,1,6,5,3,4,8,7]=>[1,-8,5,4,2,3,7,6]
[3,6,1,5,2,4,8,7]=>[5,2,-8,4,1,3,7,6]
[4,6,5,1,2,3,8,7]=>[5,4,3,-8,1,2,7,6]
[5,6,4,1,2,3,8,7]=>[4,3,5,-8,1,2,7,6]
[6,5,4,1,2,3,8,7]=>[3,4,5,-8,1,2,7,6]
[7,5,4,1,2,8,3,6]=>[3,4,6,-8,1,7,2,5]
[8,5,4,1,2,7,3,6]=>[3,4,7,-8,1,6,2,5]
[8,6,4,1,7,2,3,5]=>[3,5,7,-8,6,1,2,4]
[7,6,4,1,8,2,3,5]=>[3,5,6,-8,7,1,2,4]
[6,7,4,1,8,2,3,5]=>[5,3,6,-8,7,1,2,4]
[5,7,4,1,2,8,3,6]=>[4,3,6,-8,1,7,2,5]
[4,7,5,1,2,8,3,6]=>[6,4,3,-8,1,7,2,5]
[3,7,1,5,2,8,4,6]=>[6,2,-8,4,1,7,3,5]
[2,1,7,5,3,8,4,6]=>[1,-8,6,4,2,7,3,5]
[2,1,8,5,3,7,4,6]=>[1,-8,7,4,2,6,3,5]
[3,8,1,5,2,7,4,6]=>[7,2,-8,4,1,6,3,5]
[4,8,5,1,2,7,3,6]=>[7,4,3,-8,1,6,2,5]
[5,8,4,1,2,7,3,6]=>[4,3,7,-8,1,6,2,5]
[6,8,4,1,7,2,3,5]=>[5,3,7,-8,6,1,2,4]
[8,7,4,1,6,2,3,5]=>[3,6,7,-8,5,1,2,4]
[8,7,5,6,1,2,3,4]=>[5,6,7,4,-8,1,2,3]
[6,8,5,7,1,2,3,4]=>[6,4,7,5,-8,1,2,3]
[5,8,6,7,1,2,3,4]=>[7,6,4,5,-8,1,2,3]
[4,8,6,1,7,2,3,5]=>[7,5,3,-8,6,1,2,4]
[3,8,1,6,7,2,4,5]=>[7,2,-8,5,6,1,3,4]
[2,1,8,6,7,3,4,5]=>[1,-8,7,5,6,2,3,4]
[2,1,7,6,8,3,4,5]=>[1,-8,6,5,7,2,3,4]
[3,7,1,6,8,2,4,5]=>[6,2,-8,5,7,1,3,4]
[4,7,6,1,8,2,3,5]=>[6,5,3,-8,7,1,2,4]
[5,7,6,8,1,2,3,4]=>[7,5,4,6,-8,1,2,3]
[6,7,5,8,1,2,3,4]=>[5,4,7,6,-8,1,2,3]
[7,6,5,8,1,2,3,4]=>[4,5,7,6,-8,1,2,3]
[8,6,5,7,1,2,3,4]=>[4,6,7,5,-8,1,2,3]
[8,5,6,7,1,2,3,4]=>[6,7,4,5,-8,1,2,3]
[7,5,6,8,1,2,3,4]=>[5,7,4,6,-8,1,2,3]
[6,5,7,8,1,2,3,4]=>[4,7,5,6,-8,1,2,3]
[5,4,7,1,2,8,3,6]=>[3,6,4,-8,1,7,2,5]
[6,4,7,1,8,2,3,5]=>[3,6,5,-8,7,1,2,4]
[7,4,6,1,8,2,3,5]=>[5,6,3,-8,7,1,2,4]
[8,4,6,1,7,2,3,5]=>[5,7,3,-8,6,1,2,4]
[8,3,1,6,7,2,4,5]=>[2,7,-8,5,6,1,3,4]
[7,3,1,6,8,2,4,5]=>[2,6,-8,5,7,1,3,4]
[6,3,1,7,8,2,4,5]=>[2,5,-8,6,7,1,3,4]
[5,3,1,7,2,8,4,6]=>[2,4,-8,6,1,7,3,5]
[4,3,1,2,7,8,5,6]=>[2,3,-8,1,6,7,4,5]
[2,1,4,3,8,7,5,6]=>[1,-8,3,2,7,6,4,5]
[3,4,1,2,8,7,5,6]=>[3,2,-8,1,7,6,4,5]
[6,3,1,8,7,2,4,5]=>[2,5,-8,7,6,1,3,4]
[7,3,1,8,6,2,4,5]=>[2,6,-8,7,5,1,3,4]
[8,3,1,7,6,2,4,5]=>[2,7,-8,6,5,1,3,4]
[8,4,7,1,6,2,3,5]=>[6,7,3,-8,5,1,2,4]
[7,4,8,1,6,2,3,5]=>[3,7,6,-8,5,1,2,4]
[5,4,8,1,2,7,3,6]=>[3,7,4,-8,1,6,2,5]
[4,5,8,1,2,7,3,6]=>[7,3,4,-8,1,6,2,5]
[3,5,1,8,2,7,4,6]=>[4,2,-8,7,1,6,3,5]
[2,1,5,8,3,7,4,6]=>[1,-8,4,7,2,6,3,5]
[2,1,6,8,7,3,4,5]=>[1,-8,5,7,6,2,3,4]
[3,6,1,8,7,2,4,5]=>[5,2,-8,7,6,1,3,4]
[4,6,8,1,7,2,3,5]=>[7,3,5,-8,6,1,2,4]
[5,6,8,7,1,2,3,4]=>[7,4,6,5,-8,1,2,3]
[7,5,8,6,1,2,3,4]=>[5,7,6,4,-8,1,2,3]
[8,5,7,6,1,2,3,4]=>[6,7,5,4,-8,1,2,3]
[8,6,7,5,1,2,3,4]=>[5,6,4,7,-8,1,2,3]
[7,6,8,5,1,2,3,4]=>[4,6,5,7,-8,1,2,3]
[6,7,8,5,1,2,3,4]=>[6,4,5,7,-8,1,2,3]
[5,7,8,6,1,2,3,4]=>[7,5,6,4,-8,1,2,3]
[4,7,8,1,6,2,3,5]=>[7,3,6,-8,5,1,2,4]
[3,7,1,8,6,2,4,5]=>[6,2,-8,7,5,1,3,4]
[2,1,7,8,6,3,4,5]=>[1,-8,6,7,5,2,3,4]
[2,1,8,7,6,3,4,5]=>[1,-8,7,6,5,2,3,4]
[3,8,1,7,6,2,4,5]=>[7,2,-8,6,5,1,3,4]
[4,8,7,1,6,2,3,5]=>[7,6,3,-8,5,1,2,4]
[5,8,7,6,1,2,3,4]=>[7,6,5,4,-8,1,2,3]
[6,8,7,5,1,2,3,4]=>[6,5,4,7,-8,1,2,3]
[7,8,6,5,1,2,3,4]=>[5,4,6,7,-8,1,2,3]
[8,7,6,5,1,2,3,4]=>[4,5,6,7,-8,1,2,3]
[6,5,7,8,3,4,1,2]=>[3,6,4,5,7,2,-8,1]
[6,4,7,3,8,5,1,2]=>[2,5,4,7,6,3,-8,1]
[6,4,7,3,5,8,1,2]=>[2,5,4,7,3,6,-8,1]
[6,4,7,2,5,1,8,3]=>[1,5,4,6,3,-8,7,2]
[6,4,7,2,5,1,3,8]=>[1,5,4,6,3,-8,2,7]
[5,4,2,7,6,1,3,8]=>[1,3,6,5,4,-8,2,7]
[5,4,2,7,6,1,8,3]=>[1,3,6,5,4,-8,7,2]
[5,4,3,7,6,8,1,2]=>[2,3,7,5,4,6,-8,1]
[5,4,3,7,8,6,1,2]=>[2,3,7,5,6,4,-8,1]
[7,8,4,3,5,6,1,2]=>[5,2,6,7,3,4,-8,1]
[6,4,8,3,5,7,1,2]=>[2,6,4,7,3,5,-8,1]
[5,4,3,8,6,7,1,2]=>[2,3,7,6,4,5,-8,1]
[5,4,3,6,8,7,1,2]=>[2,3,7,4,6,5,-8,1]
[5,4,3,6,7,8,1,2]=>[2,3,7,4,5,6,-8,1]
[5,4,2,6,7,1,8,3]=>[1,3,6,4,5,-8,7,2]
[5,4,2,6,7,1,3,8]=>[1,3,6,4,5,-8,2,7]
[5,3,2,6,1,7,4,8]=>[1,2,5,4,-8,6,3,7]
[5,3,2,6,1,7,8,4]=>[1,2,5,4,-8,6,7,3]
[5,3,2,6,1,8,7,4]=>[1,2,5,4,-8,7,6,3]
[5,4,2,6,8,1,7,3]=>[1,3,7,4,5,-8,6,2]
[5,4,2,8,6,1,7,3]=>[1,3,7,5,4,-8,6,2]
[6,4,8,2,5,1,7,3]=>[1,5,4,7,3,-8,6,2]
[7,8,4,2,5,1,6,3]=>[4,1,6,7,3,-8,5,2]
[7,8,4,2,5,1,3,6]=>[4,1,6,7,3,-8,2,5]
[6,4,8,2,5,1,3,7]=>[1,5,4,7,3,-8,2,6]
[5,4,2,8,6,1,3,7]=>[1,3,7,5,4,-8,2,6]
[5,4,2,6,8,1,3,7]=>[1,3,7,4,5,-8,2,6]
[5,3,2,6,1,8,4,7]=>[1,2,5,4,-8,7,3,6]
[5,3,2,6,1,4,7,8]=>[1,2,5,4,-8,3,6,7]
[4,3,2,1,6,5,7,8]=>[1,2,3,-8,5,4,6,7]
[4,3,2,1,6,8,5,7]=>[1,2,3,-8,5,7,4,6]
[4,3,2,1,8,6,5,7]=>[1,2,3,-8,7,5,4,6]
[5,3,2,8,1,6,4,7]=>[1,2,7,4,-8,5,3,6]
[6,3,8,2,1,5,4,7]=>[1,5,2,7,-8,4,3,6]
[7,8,3,2,1,5,4,6]=>[2,1,6,7,-8,4,3,5]
[7,8,3,2,1,5,6,4]=>[2,1,6,7,-8,4,5,3]
[6,3,8,2,1,5,7,4]=>[1,5,2,7,-8,4,6,3]
[5,3,2,8,1,6,7,4]=>[1,2,7,4,-8,5,6,3]
[4,3,2,1,8,6,7,5]=>[1,2,3,-8,7,5,6,4]
[4,3,2,1,6,8,7,5]=>[1,2,3,-8,5,7,6,4]
[4,3,2,1,6,7,8,5]=>[1,2,3,-8,5,6,7,4]
[4,3,2,1,6,7,5,8]=>[1,2,3,-8,5,6,4,7]
[4,3,2,1,7,6,5,8]=>[1,2,3,-8,6,5,4,7]
[4,3,2,1,7,6,8,5]=>[1,2,3,-8,6,5,7,4]
[4,3,2,1,7,8,6,5]=>[1,2,3,-8,6,7,5,4]
[5,4,2,7,8,1,6,3]=>[1,3,7,4,6,-8,5,2]
[5,3,2,7,1,8,6,4]=>[1,2,6,4,-8,7,5,3]
[5,3,2,7,1,6,8,4]=>[1,2,6,4,-8,5,7,3]
[5,3,2,7,1,6,4,8]=>[1,2,6,4,-8,5,3,7]
[6,3,7,2,1,5,4,8]=>[1,5,2,6,-8,4,3,7]
[6,3,7,2,1,5,8,4]=>[1,5,2,6,-8,4,7,3]
[6,3,7,2,1,8,5,4]=>[1,5,2,6,-8,7,4,3]
[6,4,7,2,8,1,5,3]=>[1,5,3,7,6,-8,4,2]
[6,5,7,8,2,1,4,3]=>[1,6,4,5,7,-8,3,2]
[7,8,5,6,2,1,3,4]=>[5,4,6,1,7,-8,2,3]
[6,5,8,7,2,1,3,4]=>[1,6,5,4,7,-8,2,3]
[6,3,7,2,1,8,4,5]=>[1,5,2,6,-8,7,3,4]
[6,3,7,2,1,4,8,5]=>[1,5,2,6,-8,3,7,4]
[6,3,7,2,1,4,5,8]=>[1,5,2,6,-8,3,4,7]
[5,3,2,7,1,4,6,8]=>[1,2,6,4,-8,3,5,7]
[5,3,2,7,1,4,8,6]=>[1,2,6,4,-8,3,7,5]
[5,4,2,7,8,1,3,6]=>[1,3,7,4,6,-8,2,5]
[5,4,2,8,7,1,3,6]=>[1,3,7,6,4,-8,2,5]
[6,4,8,2,7,1,3,5]=>[1,6,3,7,5,-8,2,4]
[7,8,4,2,6,1,3,5]=>[5,1,6,7,3,-8,2,4]
[7,8,3,2,1,6,4,5]=>[2,1,6,7,-8,5,3,4]
[6,3,8,2,1,7,4,5]=>[1,5,2,7,-8,6,3,4]
[5,3,2,8,1,7,4,6]=>[1,2,7,4,-8,6,3,5]
[4,3,2,1,8,7,5,6]=>[1,2,3,-8,7,6,4,5]
[4,3,2,1,7,5,8,6]=>[1,2,3,-8,6,4,7,5]
[4,3,2,1,7,5,6,8]=>[1,2,3,-8,6,4,5,7]
[4,3,2,1,5,7,6,8]=>[1,2,3,-8,4,6,5,7]
[4,3,2,1,5,7,8,6]=>[1,2,3,-8,4,6,7,5]
[4,3,2,1,5,8,7,6]=>[1,2,3,-8,4,7,6,5]
[4,3,2,1,8,5,7,6]=>[1,2,3,-8,7,4,6,5]
[5,3,2,8,1,4,7,6]=>[1,2,7,4,-8,3,6,5]
[6,3,8,2,1,4,7,5]=>[1,5,2,7,-8,3,6,4]
[7,8,3,2,1,4,6,5]=>[2,1,6,7,-8,3,5,4]
[7,8,3,2,1,4,5,6]=>[2,1,6,7,-8,3,4,5]
[6,3,8,2,1,4,5,7]=>[1,5,2,7,-8,3,4,6]
[5,3,2,8,1,4,6,7]=>[1,2,7,4,-8,3,5,6]
[4,3,2,1,8,5,6,7]=>[1,2,3,-8,7,4,5,6]
[4,3,2,1,5,8,6,7]=>[1,2,3,-8,4,7,5,6]
[4,3,2,1,5,6,8,7]=>[1,2,3,-8,4,5,7,6]
[4,3,2,1,5,6,7,8]=>[1,2,3,-8,4,5,6,7]
          

click to show experimental identities (only identities of compositions of up to three maps are shown)

Description

The rowmotion of a signed permutation with respect to the sorting order.
The sorting order on signed permutations (with respect to the Coxeter element $-n, 1, 2,\dots, n-1$) is defined in [1].

References

[1] Armstrong, D. The sorting order on a Coxeter group MathSciNet:2568800 arXiv:0712.1047

Properties

bijective, graded

Sage code

def mapping(pi):
    return from_signed_lehmer(rowmotion_signed_permutation_lehmer(signed_lehmer(pi)))

def from_lehmer_cocode(lehmer, parent=Permutations()):
    r"""
    Return the permutation with Lehmer cocode ``lehmer``.

    The Lehmer cocode of a permutation `p` is defined as the
    list `(c_1, c_2, \ldots, c_n)`, where `c_i` is the number
    of `j < i` such that `p(j) > p(i)`.

    EXAMPLES::

        sage: import sage.combinat.permutation as permutation
        sage: lcc = Permutation([2,1,5,4,3]).to_lehmer_cocode(); lcc
        [0, 1, 0, 1, 2]
        sage: permutation.from_lehmer_cocode(lcc)
        [2, 1, 5, 4, 3]
    """
    p = []
    ell = len(lehmer)
    i = ell-1
    open_spots = list(range(1, ell+1))
    for ivi in reversed(lehmer):
        p.append(open_spots.pop(i-ivi))
        i -= 1
    p.reverse()
    return parent(p)

def signed_lehmer(pi):
    signs = [0]*(len(pi))
    for i, sign in enumerate(pi.colors()):
        if sign < 0:
            signs[-pi[i]-1] = 1
    code = standardize(pi).to_lehmer_cocode()
    return code, signs

def from_signed_lehmer(L):
    code, signs = L
    sigma = from_lehmer_cocode(code)
    n = len(code)
    entries = ([i for i, sign in enumerate(signs, 1) if not sign]
               + [-n+i for i, sign in enumerate(reversed(signs)) if sign])
    return SignedPermutation([entries[sigma[i]-1] for i in range(n)])

def standardize(pi):
    from sage.combinat.permutation import to_standard
    n = len(list(pi))
    return Permutation(to_standard([e if e > 0 else 2*n+1+e for e in pi]))

def rowmotion_binary_words_of_signs(w):
    n = len(w)
    a = 0
    w1 = []
    i = 0
    while i < n:
        if w[i]:
            a += 1
            i += 1
        elif i+1 == n:
            w1.extend([1]*(a+1))
            i += 2
            a = 0
        elif w[i+1]:
            w1.extend([1]*(a+1) + [0])
            i += 2
            a = 0
        else:
            w1.append(0)
            i += 1
    w1.extend([0]*a)
    return w1

def rowmotion_signed_permutation_lehmer(L):
    code, signs = L
    r_code = tuple((e + 1) % i for i, e in enumerate(code, 1))
    r_signs = rowmotion_binary_words_of_signs(signs)
    return r_code, r_signs

Weight

Created

Jan 19, 2023 at 13:06 by Martin Rubey

Updated

Jan 19, 2023 at 13:06 by Martin Rubey