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Identifier

Mp00168: Signed permutations —Kreweras complement⟶ Signed permutations

Images

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            [1]=>[-1]
[-1]=>[1]
[1,2]=>[2,-1]
[1,-2]=>[2,1]
[-1,2]=>[-2,-1]
[-1,-2]=>[-2,1]
[2,1]=>[-1,2]
[2,-1]=>[1,2]
[-2,1]=>[-1,-2]
[-2,-1]=>[1,-2]
[1,2,3]=>[2,3,-1]
[1,2,-3]=>[2,3,1]
[1,-2,3]=>[2,-3,-1]
[1,-2,-3]=>[2,-3,1]
[-1,2,3]=>[-2,3,-1]
[-1,2,-3]=>[-2,3,1]
[-1,-2,3]=>[-2,-3,-1]
[-1,-2,-3]=>[-2,-3,1]
[1,3,2]=>[2,-1,3]
[1,3,-2]=>[2,1,3]
[1,-3,2]=>[2,-1,-3]
[1,-3,-2]=>[2,1,-3]
[-1,3,2]=>[-2,-1,3]
[-1,3,-2]=>[-2,1,3]
[-1,-3,2]=>[-2,-1,-3]
[-1,-3,-2]=>[-2,1,-3]
[2,1,3]=>[3,2,-1]
[2,1,-3]=>[3,2,1]
[2,-1,3]=>[-3,2,-1]
[2,-1,-3]=>[-3,2,1]
[-2,1,3]=>[3,-2,-1]
[-2,1,-3]=>[3,-2,1]
[-2,-1,3]=>[-3,-2,-1]
[-2,-1,-3]=>[-3,-2,1]
[2,3,1]=>[-1,2,3]
[2,3,-1]=>[1,2,3]
[2,-3,1]=>[-1,2,-3]
[2,-3,-1]=>[1,2,-3]
[-2,3,1]=>[-1,-2,3]
[-2,3,-1]=>[1,-2,3]
[-2,-3,1]=>[-1,-2,-3]
[-2,-3,-1]=>[1,-2,-3]
[3,1,2]=>[3,-1,2]
[3,1,-2]=>[3,1,2]
[3,-1,2]=>[-3,-1,2]
[3,-1,-2]=>[-3,1,2]
[-3,1,2]=>[3,-1,-2]
[-3,1,-2]=>[3,1,-2]
[-3,-1,2]=>[-3,-1,-2]
[-3,-1,-2]=>[-3,1,-2]
[3,2,1]=>[-1,3,2]
[3,2,-1]=>[1,3,2]
[3,-2,1]=>[-1,-3,2]
[3,-2,-1]=>[1,-3,2]
[-3,2,1]=>[-1,3,-2]
[-3,2,-1]=>[1,3,-2]
[-3,-2,1]=>[-1,-3,-2]
[-3,-2,-1]=>[1,-3,-2]
[1,2,3,4]=>[2,3,4,-1]
[1,2,3,-4]=>[2,3,4,1]
[1,2,-3,4]=>[2,3,-4,-1]
[1,2,-3,-4]=>[2,3,-4,1]
[1,-2,3,4]=>[2,-3,4,-1]
[1,-2,3,-4]=>[2,-3,4,1]
[1,-2,-3,4]=>[2,-3,-4,-1]
[1,-2,-3,-4]=>[2,-3,-4,1]
[-1,2,3,4]=>[-2,3,4,-1]
[-1,2,3,-4]=>[-2,3,4,1]
[-1,2,-3,4]=>[-2,3,-4,-1]
[-1,2,-3,-4]=>[-2,3,-4,1]
[-1,-2,3,4]=>[-2,-3,4,-1]
[-1,-2,3,-4]=>[-2,-3,4,1]
[-1,-2,-3,4]=>[-2,-3,-4,-1]
[-1,-2,-3,-4]=>[-2,-3,-4,1]
[1,2,4,3]=>[2,3,-1,4]
[1,2,4,-3]=>[2,3,1,4]
[1,2,-4,3]=>[2,3,-1,-4]
[1,2,-4,-3]=>[2,3,1,-4]
[1,-2,4,3]=>[2,-3,-1,4]
[1,-2,4,-3]=>[2,-3,1,4]
[1,-2,-4,3]=>[2,-3,-1,-4]
[1,-2,-4,-3]=>[2,-3,1,-4]
[-1,2,4,3]=>[-2,3,-1,4]
[-1,2,4,-3]=>[-2,3,1,4]
[-1,2,-4,3]=>[-2,3,-1,-4]
[-1,2,-4,-3]=>[-2,3,1,-4]
[-1,-2,4,3]=>[-2,-3,-1,4]
[-1,-2,4,-3]=>[-2,-3,1,4]
[-1,-2,-4,3]=>[-2,-3,-1,-4]
[-1,-2,-4,-3]=>[-2,-3,1,-4]
[1,3,2,4]=>[2,4,3,-1]
[1,3,2,-4]=>[2,4,3,1]
[1,3,-2,4]=>[2,-4,3,-1]
[1,3,-2,-4]=>[2,-4,3,1]
[1,-3,2,4]=>[2,4,-3,-1]
[1,-3,2,-4]=>[2,4,-3,1]
[1,-3,-2,4]=>[2,-4,-3,-1]
[1,-3,-2,-4]=>[2,-4,-3,1]
[-1,3,2,4]=>[-2,4,3,-1]
[-1,3,2,-4]=>[-2,4,3,1]
[-1,3,-2,4]=>[-2,-4,3,-1]
[-1,3,-2,-4]=>[-2,-4,3,1]
[-1,-3,2,4]=>[-2,4,-3,-1]
[-1,-3,2,-4]=>[-2,4,-3,1]
[-1,-3,-2,4]=>[-2,-4,-3,-1]
[-1,-3,-2,-4]=>[-2,-4,-3,1]
[1,3,4,2]=>[2,-1,3,4]
[1,3,4,-2]=>[2,1,3,4]
[1,3,-4,2]=>[2,-1,3,-4]
[1,3,-4,-2]=>[2,1,3,-4]
[1,-3,4,2]=>[2,-1,-3,4]
[1,-3,4,-2]=>[2,1,-3,4]
[1,-3,-4,2]=>[2,-1,-3,-4]
[1,-3,-4,-2]=>[2,1,-3,-4]
[-1,3,4,2]=>[-2,-1,3,4]
[-1,3,4,-2]=>[-2,1,3,4]
[-1,3,-4,2]=>[-2,-1,3,-4]
[-1,3,-4,-2]=>[-2,1,3,-4]
[-1,-3,4,2]=>[-2,-1,-3,4]
[-1,-3,4,-2]=>[-2,1,-3,4]
[-1,-3,-4,2]=>[-2,-1,-3,-4]
[-1,-3,-4,-2]=>[-2,1,-3,-4]
[1,4,2,3]=>[2,4,-1,3]
[1,4,2,-3]=>[2,4,1,3]
[1,4,-2,3]=>[2,-4,-1,3]
[1,4,-2,-3]=>[2,-4,1,3]
[1,-4,2,3]=>[2,4,-1,-3]
[1,-4,2,-3]=>[2,4,1,-3]
[1,-4,-2,3]=>[2,-4,-1,-3]
[1,-4,-2,-3]=>[2,-4,1,-3]
[-1,4,2,3]=>[-2,4,-1,3]
[-1,4,2,-3]=>[-2,4,1,3]
[-1,4,-2,3]=>[-2,-4,-1,3]
[-1,4,-2,-3]=>[-2,-4,1,3]
[-1,-4,2,3]=>[-2,4,-1,-3]
[-1,-4,2,-3]=>[-2,4,1,-3]
[-1,-4,-2,3]=>[-2,-4,-1,-3]
[-1,-4,-2,-3]=>[-2,-4,1,-3]
[1,4,3,2]=>[2,-1,4,3]
[1,4,3,-2]=>[2,1,4,3]
[1,4,-3,2]=>[2,-1,-4,3]
[1,4,-3,-2]=>[2,1,-4,3]
[1,-4,3,2]=>[2,-1,4,-3]
[1,-4,3,-2]=>[2,1,4,-3]
[1,-4,-3,2]=>[2,-1,-4,-3]
[1,-4,-3,-2]=>[2,1,-4,-3]
[-1,4,3,2]=>[-2,-1,4,3]
[-1,4,3,-2]=>[-2,1,4,3]
[-1,4,-3,2]=>[-2,-1,-4,3]
[-1,4,-3,-2]=>[-2,1,-4,3]
[-1,-4,3,2]=>[-2,-1,4,-3]
[-1,-4,3,-2]=>[-2,1,4,-3]
[-1,-4,-3,2]=>[-2,-1,-4,-3]
[-1,-4,-3,-2]=>[-2,1,-4,-3]
[2,1,3,4]=>[3,2,4,-1]
[2,1,3,-4]=>[3,2,4,1]
[2,1,-3,4]=>[3,2,-4,-1]
[2,1,-3,-4]=>[3,2,-4,1]
[2,-1,3,4]=>[-3,2,4,-1]
[2,-1,3,-4]=>[-3,2,4,1]
[2,-1,-3,4]=>[-3,2,-4,-1]
[2,-1,-3,-4]=>[-3,2,-4,1]
[-2,1,3,4]=>[3,-2,4,-1]
[-2,1,3,-4]=>[3,-2,4,1]
[-2,1,-3,4]=>[3,-2,-4,-1]
[-2,1,-3,-4]=>[3,-2,-4,1]
[-2,-1,3,4]=>[-3,-2,4,-1]
[-2,-1,3,-4]=>[-3,-2,4,1]
[-2,-1,-3,4]=>[-3,-2,-4,-1]
[-2,-1,-3,-4]=>[-3,-2,-4,1]
[2,1,4,3]=>[3,2,-1,4]
[2,1,4,-3]=>[3,2,1,4]
[2,1,-4,3]=>[3,2,-1,-4]
[2,1,-4,-3]=>[3,2,1,-4]
[2,-1,4,3]=>[-3,2,-1,4]
[2,-1,4,-3]=>[-3,2,1,4]
[2,-1,-4,3]=>[-3,2,-1,-4]
[2,-1,-4,-3]=>[-3,2,1,-4]
[-2,1,4,3]=>[3,-2,-1,4]
[-2,1,4,-3]=>[3,-2,1,4]
[-2,1,-4,3]=>[3,-2,-1,-4]
[-2,1,-4,-3]=>[3,-2,1,-4]
[-2,-1,4,3]=>[-3,-2,-1,4]
[-2,-1,4,-3]=>[-3,-2,1,4]
[-2,-1,-4,3]=>[-3,-2,-1,-4]
[-2,-1,-4,-3]=>[-3,-2,1,-4]
[2,3,1,4]=>[4,2,3,-1]
[2,3,1,-4]=>[4,2,3,1]
[2,3,-1,4]=>[-4,2,3,-1]
[2,3,-1,-4]=>[-4,2,3,1]
[2,-3,1,4]=>[4,2,-3,-1]
[2,-3,1,-4]=>[4,2,-3,1]
[2,-3,-1,4]=>[-4,2,-3,-1]
[2,-3,-1,-4]=>[-4,2,-3,1]
[-2,3,1,4]=>[4,-2,3,-1]
[-2,3,1,-4]=>[4,-2,3,1]
[-2,3,-1,4]=>[-4,-2,3,-1]
[-2,3,-1,-4]=>[-4,-2,3,1]
[-2,-3,1,4]=>[4,-2,-3,-1]
[-2,-3,1,-4]=>[4,-2,-3,1]
[-2,-3,-1,4]=>[-4,-2,-3,-1]
[-2,-3,-1,-4]=>[-4,-2,-3,1]
[2,3,4,1]=>[-1,2,3,4]
[2,3,4,-1]=>[1,2,3,4]
[2,3,-4,1]=>[-1,2,3,-4]
[2,3,-4,-1]=>[1,2,3,-4]
[2,-3,4,1]=>[-1,2,-3,4]
[2,-3,4,-1]=>[1,2,-3,4]
[2,-3,-4,1]=>[-1,2,-3,-4]
[2,-3,-4,-1]=>[1,2,-3,-4]
[-2,3,4,1]=>[-1,-2,3,4]
[-2,3,4,-1]=>[1,-2,3,4]
[-2,3,-4,1]=>[-1,-2,3,-4]
[-2,3,-4,-1]=>[1,-2,3,-4]
[-2,-3,4,1]=>[-1,-2,-3,4]
[-2,-3,4,-1]=>[1,-2,-3,4]
[-2,-3,-4,1]=>[-1,-2,-3,-4]
[-2,-3,-4,-1]=>[1,-2,-3,-4]
[2,4,1,3]=>[4,2,-1,3]
[2,4,1,-3]=>[4,2,1,3]
[2,4,-1,3]=>[-4,2,-1,3]
[2,4,-1,-3]=>[-4,2,1,3]
[2,-4,1,3]=>[4,2,-1,-3]
[2,-4,1,-3]=>[4,2,1,-3]
[2,-4,-1,3]=>[-4,2,-1,-3]
[2,-4,-1,-3]=>[-4,2,1,-3]
[-2,4,1,3]=>[4,-2,-1,3]
[-2,4,1,-3]=>[4,-2,1,3]
[-2,4,-1,3]=>[-4,-2,-1,3]
[-2,4,-1,-3]=>[-4,-2,1,3]
[-2,-4,1,3]=>[4,-2,-1,-3]
[-2,-4,1,-3]=>[4,-2,1,-3]
[-2,-4,-1,3]=>[-4,-2,-1,-3]
[-2,-4,-1,-3]=>[-4,-2,1,-3]
[2,4,3,1]=>[-1,2,4,3]
[2,4,3,-1]=>[1,2,4,3]
[2,4,-3,1]=>[-1,2,-4,3]
[2,4,-3,-1]=>[1,2,-4,3]
[2,-4,3,1]=>[-1,2,4,-3]
[2,-4,3,-1]=>[1,2,4,-3]
[2,-4,-3,1]=>[-1,2,-4,-3]
[2,-4,-3,-1]=>[1,2,-4,-3]
[-2,4,3,1]=>[-1,-2,4,3]
[-2,4,3,-1]=>[1,-2,4,3]
[-2,4,-3,1]=>[-1,-2,-4,3]
[-2,4,-3,-1]=>[1,-2,-4,3]
[-2,-4,3,1]=>[-1,-2,4,-3]
[-2,-4,3,-1]=>[1,-2,4,-3]
[-2,-4,-3,1]=>[-1,-2,-4,-3]
[-2,-4,-3,-1]=>[1,-2,-4,-3]
[3,1,2,4]=>[3,4,2,-1]
[3,1,2,-4]=>[3,4,2,1]
[3,1,-2,4]=>[3,-4,2,-1]
[3,1,-2,-4]=>[3,-4,2,1]
[3,-1,2,4]=>[-3,4,2,-1]
[3,-1,2,-4]=>[-3,4,2,1]
[3,-1,-2,4]=>[-3,-4,2,-1]
[3,-1,-2,-4]=>[-3,-4,2,1]
[-3,1,2,4]=>[3,4,-2,-1]
[-3,1,2,-4]=>[3,4,-2,1]
[-3,1,-2,4]=>[3,-4,-2,-1]
[-3,1,-2,-4]=>[3,-4,-2,1]
[-3,-1,2,4]=>[-3,4,-2,-1]
[-3,-1,2,-4]=>[-3,4,-2,1]
[-3,-1,-2,4]=>[-3,-4,-2,-1]
[-3,-1,-2,-4]=>[-3,-4,-2,1]
[3,1,4,2]=>[3,-1,2,4]
[3,1,4,-2]=>[3,1,2,4]
[3,1,-4,2]=>[3,-1,2,-4]
[3,1,-4,-2]=>[3,1,2,-4]
[3,-1,4,2]=>[-3,-1,2,4]
[3,-1,4,-2]=>[-3,1,2,4]
[3,-1,-4,2]=>[-3,-1,2,-4]
[3,-1,-4,-2]=>[-3,1,2,-4]
[-3,1,4,2]=>[3,-1,-2,4]
[-3,1,4,-2]=>[3,1,-2,4]
[-3,1,-4,2]=>[3,-1,-2,-4]
[-3,1,-4,-2]=>[3,1,-2,-4]
[-3,-1,4,2]=>[-3,-1,-2,4]
[-3,-1,4,-2]=>[-3,1,-2,4]
[-3,-1,-4,2]=>[-3,-1,-2,-4]
[-3,-1,-4,-2]=>[-3,1,-2,-4]
[3,2,1,4]=>[4,3,2,-1]
[3,2,1,-4]=>[4,3,2,1]
[3,2,-1,4]=>[-4,3,2,-1]
[3,2,-1,-4]=>[-4,3,2,1]
[3,-2,1,4]=>[4,-3,2,-1]
[3,-2,1,-4]=>[4,-3,2,1]
[3,-2,-1,4]=>[-4,-3,2,-1]
[3,-2,-1,-4]=>[-4,-3,2,1]
[-3,2,1,4]=>[4,3,-2,-1]
[-3,2,1,-4]=>[4,3,-2,1]
[-3,2,-1,4]=>[-4,3,-2,-1]
[-3,2,-1,-4]=>[-4,3,-2,1]
[-3,-2,1,4]=>[4,-3,-2,-1]
[-3,-2,1,-4]=>[4,-3,-2,1]
[-3,-2,-1,4]=>[-4,-3,-2,-1]
[-3,-2,-1,-4]=>[-4,-3,-2,1]
[3,2,4,1]=>[-1,3,2,4]
[3,2,4,-1]=>[1,3,2,4]
[3,2,-4,1]=>[-1,3,2,-4]
[3,2,-4,-1]=>[1,3,2,-4]
[3,-2,4,1]=>[-1,-3,2,4]
[3,-2,4,-1]=>[1,-3,2,4]
[3,-2,-4,1]=>[-1,-3,2,-4]
[3,-2,-4,-1]=>[1,-3,2,-4]
[-3,2,4,1]=>[-1,3,-2,4]
[-3,2,4,-1]=>[1,3,-2,4]
[-3,2,-4,1]=>[-1,3,-2,-4]
[-3,2,-4,-1]=>[1,3,-2,-4]
[-3,-2,4,1]=>[-1,-3,-2,4]
[-3,-2,4,-1]=>[1,-3,-2,4]
[-3,-2,-4,1]=>[-1,-3,-2,-4]
[-3,-2,-4,-1]=>[1,-3,-2,-4]
[3,4,1,2]=>[4,-1,2,3]
[3,4,1,-2]=>[4,1,2,3]
[3,4,-1,2]=>[-4,-1,2,3]
[3,4,-1,-2]=>[-4,1,2,3]
[3,-4,1,2]=>[4,-1,2,-3]
[3,-4,1,-2]=>[4,1,2,-3]
[3,-4,-1,2]=>[-4,-1,2,-3]
[3,-4,-1,-2]=>[-4,1,2,-3]
[-3,4,1,2]=>[4,-1,-2,3]
[-3,4,1,-2]=>[4,1,-2,3]
[-3,4,-1,2]=>[-4,-1,-2,3]
[-3,4,-1,-2]=>[-4,1,-2,3]
[-3,-4,1,2]=>[4,-1,-2,-3]
[-3,-4,1,-2]=>[4,1,-2,-3]
[-3,-4,-1,2]=>[-4,-1,-2,-3]
[-3,-4,-1,-2]=>[-4,1,-2,-3]
[3,4,2,1]=>[-1,4,2,3]
[3,4,2,-1]=>[1,4,2,3]
[3,4,-2,1]=>[-1,-4,2,3]
[3,4,-2,-1]=>[1,-4,2,3]
[3,-4,2,1]=>[-1,4,2,-3]
[3,-4,2,-1]=>[1,4,2,-3]
[3,-4,-2,1]=>[-1,-4,2,-3]
[3,-4,-2,-1]=>[1,-4,2,-3]
[-3,4,2,1]=>[-1,4,-2,3]
[-3,4,2,-1]=>[1,4,-2,3]
[-3,4,-2,1]=>[-1,-4,-2,3]
[-3,4,-2,-1]=>[1,-4,-2,3]
[-3,-4,2,1]=>[-1,4,-2,-3]
[-3,-4,2,-1]=>[1,4,-2,-3]
[-3,-4,-2,1]=>[-1,-4,-2,-3]
[-3,-4,-2,-1]=>[1,-4,-2,-3]
[4,1,2,3]=>[3,4,-1,2]
[4,1,2,-3]=>[3,4,1,2]
[4,1,-2,3]=>[3,-4,-1,2]
[4,1,-2,-3]=>[3,-4,1,2]
[4,-1,2,3]=>[-3,4,-1,2]
[4,-1,2,-3]=>[-3,4,1,2]
[4,-1,-2,3]=>[-3,-4,-1,2]
[4,-1,-2,-3]=>[-3,-4,1,2]
[-4,1,2,3]=>[3,4,-1,-2]
[-4,1,2,-3]=>[3,4,1,-2]
[-4,1,-2,3]=>[3,-4,-1,-2]
[-4,1,-2,-3]=>[3,-4,1,-2]
[-4,-1,2,3]=>[-3,4,-1,-2]
[-4,-1,2,-3]=>[-3,4,1,-2]
[-4,-1,-2,3]=>[-3,-4,-1,-2]
[-4,-1,-2,-3]=>[-3,-4,1,-2]
[4,1,3,2]=>[3,-1,4,2]
[4,1,3,-2]=>[3,1,4,2]
[4,1,-3,2]=>[3,-1,-4,2]
[4,1,-3,-2]=>[3,1,-4,2]
[4,-1,3,2]=>[-3,-1,4,2]
[4,-1,3,-2]=>[-3,1,4,2]
[4,-1,-3,2]=>[-3,-1,-4,2]
[4,-1,-3,-2]=>[-3,1,-4,2]
[-4,1,3,2]=>[3,-1,4,-2]
[-4,1,3,-2]=>[3,1,4,-2]
[-4,1,-3,2]=>[3,-1,-4,-2]
[-4,1,-3,-2]=>[3,1,-4,-2]
[-4,-1,3,2]=>[-3,-1,4,-2]
[-4,-1,3,-2]=>[-3,1,4,-2]
[-4,-1,-3,2]=>[-3,-1,-4,-2]
[-4,-1,-3,-2]=>[-3,1,-4,-2]
[4,2,1,3]=>[4,3,-1,2]
[4,2,1,-3]=>[4,3,1,2]
[4,2,-1,3]=>[-4,3,-1,2]
[4,2,-1,-3]=>[-4,3,1,2]
[4,-2,1,3]=>[4,-3,-1,2]
[4,-2,1,-3]=>[4,-3,1,2]
[4,-2,-1,3]=>[-4,-3,-1,2]
[4,-2,-1,-3]=>[-4,-3,1,2]
[-4,2,1,3]=>[4,3,-1,-2]
[-4,2,1,-3]=>[4,3,1,-2]
[-4,2,-1,3]=>[-4,3,-1,-2]
[-4,2,-1,-3]=>[-4,3,1,-2]
[-4,-2,1,3]=>[4,-3,-1,-2]
[-4,-2,1,-3]=>[4,-3,1,-2]
[-4,-2,-1,3]=>[-4,-3,-1,-2]
[-4,-2,-1,-3]=>[-4,-3,1,-2]
[4,2,3,1]=>[-1,3,4,2]
[4,2,3,-1]=>[1,3,4,2]
[4,2,-3,1]=>[-1,3,-4,2]
[4,2,-3,-1]=>[1,3,-4,2]
[4,-2,3,1]=>[-1,-3,4,2]
[4,-2,3,-1]=>[1,-3,4,2]
[4,-2,-3,1]=>[-1,-3,-4,2]
[4,-2,-3,-1]=>[1,-3,-4,2]
[-4,2,3,1]=>[-1,3,4,-2]
[-4,2,3,-1]=>[1,3,4,-2]
[-4,2,-3,1]=>[-1,3,-4,-2]
[-4,2,-3,-1]=>[1,3,-4,-2]
[-4,-2,3,1]=>[-1,-3,4,-2]
[-4,-2,3,-1]=>[1,-3,4,-2]
[-4,-2,-3,1]=>[-1,-3,-4,-2]
[-4,-2,-3,-1]=>[1,-3,-4,-2]
[4,3,1,2]=>[4,-1,3,2]
[4,3,1,-2]=>[4,1,3,2]
[4,3,-1,2]=>[-4,-1,3,2]
[4,3,-1,-2]=>[-4,1,3,2]
[4,-3,1,2]=>[4,-1,-3,2]
[4,-3,1,-2]=>[4,1,-3,2]
[4,-3,-1,2]=>[-4,-1,-3,2]
[4,-3,-1,-2]=>[-4,1,-3,2]
[-4,3,1,2]=>[4,-1,3,-2]
[-4,3,1,-2]=>[4,1,3,-2]
[-4,3,-1,2]=>[-4,-1,3,-2]
[-4,3,-1,-2]=>[-4,1,3,-2]
[-4,-3,1,2]=>[4,-1,-3,-2]
[-4,-3,1,-2]=>[4,1,-3,-2]
[-4,-3,-1,2]=>[-4,-1,-3,-2]
[-4,-3,-1,-2]=>[-4,1,-3,-2]
[4,3,2,1]=>[-1,4,3,2]
[4,3,2,-1]=>[1,4,3,2]
[4,3,-2,1]=>[-1,-4,3,2]
[4,3,-2,-1]=>[1,-4,3,2]
[4,-3,2,1]=>[-1,4,-3,2]
[4,-3,2,-1]=>[1,4,-3,2]
[4,-3,-2,1]=>[-1,-4,-3,2]
[4,-3,-2,-1]=>[1,-4,-3,2]
[-4,3,2,1]=>[-1,4,3,-2]
[-4,3,2,-1]=>[1,4,3,-2]
[-4,3,-2,1]=>[-1,-4,3,-2]
[-4,3,-2,-1]=>[1,-4,3,-2]
[-4,-3,2,1]=>[-1,4,-3,-2]
[-4,-3,2,-1]=>[1,4,-3,-2]
[-4,-3,-2,1]=>[-1,-4,-3,-2]
[-4,-3,-2,-1]=>[1,-4,-3,-2]
[1,2,3,4,5]=>[2,3,4,5,-1]
[1,2,3,4,-5]=>[2,3,4,5,1]
[1,2,3,-4,5]=>[2,3,4,-5,-1]
[1,2,3,-4,-5]=>[2,3,4,-5,1]
[1,2,-3,4,5]=>[2,3,-4,5,-1]
[1,2,-3,4,-5]=>[2,3,-4,5,1]
[1,2,-3,-4,5]=>[2,3,-4,-5,-1]
[1,2,-3,-4,-5]=>[2,3,-4,-5,1]
[1,-2,3,4,5]=>[2,-3,4,5,-1]
[1,-2,3,4,-5]=>[2,-3,4,5,1]
[1,-2,3,-4,5]=>[2,-3,4,-5,-1]
[1,-2,3,-4,-5]=>[2,-3,4,-5,1]
[1,-2,-3,4,5]=>[2,-3,-4,5,-1]
[1,-2,-3,4,-5]=>[2,-3,-4,5,1]
[1,-2,-3,-4,5]=>[2,-3,-4,-5,-1]
[1,-2,-3,-4,-5]=>[2,-3,-4,-5,1]
[-1,2,3,4,5]=>[-2,3,4,5,-1]
[-1,2,3,4,-5]=>[-2,3,4,5,1]
[-1,2,3,-4,5]=>[-2,3,4,-5,-1]
[-1,2,3,-4,-5]=>[-2,3,4,-5,1]
[-1,2,-3,4,5]=>[-2,3,-4,5,-1]
[-1,2,-3,4,-5]=>[-2,3,-4,5,1]
[-1,2,-3,-4,5]=>[-2,3,-4,-5,-1]
[-1,2,-3,-4,-5]=>[-2,3,-4,-5,1]
[-1,-2,3,4,5]=>[-2,-3,4,5,-1]
[-1,-2,3,4,-5]=>[-2,-3,4,5,1]
[-1,-2,3,-4,5]=>[-2,-3,4,-5,-1]
[-1,-2,3,-4,-5]=>[-2,-3,4,-5,1]
[-1,-2,-3,4,5]=>[-2,-3,-4,5,-1]
[-1,-2,-3,4,-5]=>[-2,-3,-4,5,1]
[-1,-2,-3,-4,5]=>[-2,-3,-4,-5,-1]
[-1,-2,-3,-4,-5]=>[-2,-3,-4,-5,1]
[1,2,3,5,4]=>[2,3,4,-1,5]
[1,2,3,5,-4]=>[2,3,4,1,5]
[1,2,3,-5,4]=>[2,3,4,-1,-5]
[1,2,3,-5,-4]=>[2,3,4,1,-5]
[1,2,-3,5,4]=>[2,3,-4,-1,5]
[1,2,-3,5,-4]=>[2,3,-4,1,5]
[1,2,-3,-5,4]=>[2,3,-4,-1,-5]
[1,2,-3,-5,-4]=>[2,3,-4,1,-5]
[1,-2,3,5,4]=>[2,-3,4,-1,5]
[1,-2,3,5,-4]=>[2,-3,4,1,5]
[1,-2,3,-5,4]=>[2,-3,4,-1,-5]
[1,-2,3,-5,-4]=>[2,-3,4,1,-5]
[1,-2,-3,5,4]=>[2,-3,-4,-1,5]
[1,-2,-3,5,-4]=>[2,-3,-4,1,5]
[1,-2,-3,-5,4]=>[2,-3,-4,-1,-5]
[1,-2,-3,-5,-4]=>[2,-3,-4,1,-5]
[-1,2,3,5,4]=>[-2,3,4,-1,5]
[-1,2,3,5,-4]=>[-2,3,4,1,5]
[-1,2,3,-5,4]=>[-2,3,4,-1,-5]
[-1,2,3,-5,-4]=>[-2,3,4,1,-5]
[-1,2,-3,5,4]=>[-2,3,-4,-1,5]
[-1,2,-3,5,-4]=>[-2,3,-4,1,5]
[-1,2,-3,-5,4]=>[-2,3,-4,-1,-5]
[-1,2,-3,-5,-4]=>[-2,3,-4,1,-5]
[-1,-2,3,5,4]=>[-2,-3,4,-1,5]
[-1,-2,3,5,-4]=>[-2,-3,4,1,5]
[-1,-2,3,-5,4]=>[-2,-3,4,-1,-5]
[-1,-2,3,-5,-4]=>[-2,-3,4,1,-5]
[-1,-2,-3,5,4]=>[-2,-3,-4,-1,5]
[-1,-2,-3,5,-4]=>[-2,-3,-4,1,5]
[-1,-2,-3,-5,4]=>[-2,-3,-4,-1,-5]
[-1,-2,-3,-5,-4]=>[-2,-3,-4,1,-5]
[1,2,4,3,5]=>[2,3,5,4,-1]
[1,2,4,3,-5]=>[2,3,5,4,1]
[1,2,4,-3,5]=>[2,3,-5,4,-1]
[1,2,4,-3,-5]=>[2,3,-5,4,1]
[1,2,-4,3,5]=>[2,3,5,-4,-1]
[1,2,-4,3,-5]=>[2,3,5,-4,1]
[1,2,-4,-3,5]=>[2,3,-5,-4,-1]
[1,2,-4,-3,-5]=>[2,3,-5,-4,1]
[1,-2,4,3,5]=>[2,-3,5,4,-1]
[1,-2,4,3,-5]=>[2,-3,5,4,1]
[1,-2,4,-3,5]=>[2,-3,-5,4,-1]
[1,-2,4,-3,-5]=>[2,-3,-5,4,1]
[1,-2,-4,3,5]=>[2,-3,5,-4,-1]
[1,-2,-4,3,-5]=>[2,-3,5,-4,1]
[1,-2,-4,-3,5]=>[2,-3,-5,-4,-1]
[1,-2,-4,-3,-5]=>[2,-3,-5,-4,1]
[-1,2,4,3,5]=>[-2,3,5,4,-1]
[-1,2,4,3,-5]=>[-2,3,5,4,1]
[-1,2,4,-3,5]=>[-2,3,-5,4,-1]
[-1,2,4,-3,-5]=>[-2,3,-5,4,1]
[-1,2,-4,3,5]=>[-2,3,5,-4,-1]
[-1,2,-4,3,-5]=>[-2,3,5,-4,1]
[-1,2,-4,-3,5]=>[-2,3,-5,-4,-1]
[-1,2,-4,-3,-5]=>[-2,3,-5,-4,1]
[-1,-2,4,3,5]=>[-2,-3,5,4,-1]
[-1,-2,4,3,-5]=>[-2,-3,5,4,1]
[-1,-2,4,-3,5]=>[-2,-3,-5,4,-1]
[-1,-2,4,-3,-5]=>[-2,-3,-5,4,1]
[-1,-2,-4,3,5]=>[-2,-3,5,-4,-1]
[-1,-2,-4,3,-5]=>[-2,-3,5,-4,1]
[-1,-2,-4,-3,5]=>[-2,-3,-5,-4,-1]
[-1,-2,-4,-3,-5]=>[-2,-3,-5,-4,1]
[1,2,4,5,3]=>[2,3,-1,4,5]
[1,2,4,5,-3]=>[2,3,1,4,5]
[1,2,4,-5,3]=>[2,3,-1,4,-5]
[1,2,4,-5,-3]=>[2,3,1,4,-5]
[1,2,-4,5,3]=>[2,3,-1,-4,5]
[1,2,-4,5,-3]=>[2,3,1,-4,5]
[1,2,-4,-5,3]=>[2,3,-1,-4,-5]
[1,2,-4,-5,-3]=>[2,3,1,-4,-5]
[1,-2,4,5,3]=>[2,-3,-1,4,5]
[1,-2,4,5,-3]=>[2,-3,1,4,5]
[1,-2,4,-5,3]=>[2,-3,-1,4,-5]
[1,-2,4,-5,-3]=>[2,-3,1,4,-5]
[1,-2,-4,5,3]=>[2,-3,-1,-4,5]
[1,-2,-4,5,-3]=>[2,-3,1,-4,5]
[1,-2,-4,-5,3]=>[2,-3,-1,-4,-5]
[1,-2,-4,-5,-3]=>[2,-3,1,-4,-5]
[-1,2,4,5,3]=>[-2,3,-1,4,5]
[-1,2,4,5,-3]=>[-2,3,1,4,5]
[-1,2,4,-5,3]=>[-2,3,-1,4,-5]
[-1,2,4,-5,-3]=>[-2,3,1,4,-5]
[-1,2,-4,5,3]=>[-2,3,-1,-4,5]
[-1,2,-4,5,-3]=>[-2,3,1,-4,5]
[-1,2,-4,-5,3]=>[-2,3,-1,-4,-5]
[-1,2,-4,-5,-3]=>[-2,3,1,-4,-5]
[-1,-2,4,5,3]=>[-2,-3,-1,4,5]
[-1,-2,4,5,-3]=>[-2,-3,1,4,5]
[-1,-2,4,-5,3]=>[-2,-3,-1,4,-5]
[-1,-2,4,-5,-3]=>[-2,-3,1,4,-5]
[-1,-2,-4,5,3]=>[-2,-3,-1,-4,5]
[-1,-2,-4,5,-3]=>[-2,-3,1,-4,5]
[-1,-2,-4,-5,3]=>[-2,-3,-1,-4,-5]
[-1,-2,-4,-5,-3]=>[-2,-3,1,-4,-5]
[1,2,5,3,4]=>[2,3,5,-1,4]
[1,2,5,3,-4]=>[2,3,5,1,4]
[1,2,5,-3,4]=>[2,3,-5,-1,4]
[1,2,5,-3,-4]=>[2,3,-5,1,4]
[1,2,-5,3,4]=>[2,3,5,-1,-4]
[1,2,-5,3,-4]=>[2,3,5,1,-4]
[1,2,-5,-3,4]=>[2,3,-5,-1,-4]
[1,2,-5,-3,-4]=>[2,3,-5,1,-4]
[1,-2,5,3,4]=>[2,-3,5,-1,4]
[1,-2,5,3,-4]=>[2,-3,5,1,4]
[1,-2,5,-3,4]=>[2,-3,-5,-1,4]
[1,-2,5,-3,-4]=>[2,-3,-5,1,4]
[1,-2,-5,3,4]=>[2,-3,5,-1,-4]
[1,-2,-5,3,-4]=>[2,-3,5,1,-4]
[1,-2,-5,-3,4]=>[2,-3,-5,-1,-4]
[1,-2,-5,-3,-4]=>[2,-3,-5,1,-4]
[-1,2,5,3,4]=>[-2,3,5,-1,4]
[-1,2,5,3,-4]=>[-2,3,5,1,4]
[-1,2,5,-3,4]=>[-2,3,-5,-1,4]
[-1,2,5,-3,-4]=>[-2,3,-5,1,4]
[-1,2,-5,3,4]=>[-2,3,5,-1,-4]
[-1,2,-5,3,-4]=>[-2,3,5,1,-4]
[-1,2,-5,-3,4]=>[-2,3,-5,-1,-4]
[-1,2,-5,-3,-4]=>[-2,3,-5,1,-4]
[-1,-2,5,3,4]=>[-2,-3,5,-1,4]
[-1,-2,5,3,-4]=>[-2,-3,5,1,4]
[-1,-2,5,-3,4]=>[-2,-3,-5,-1,4]
[-1,-2,5,-3,-4]=>[-2,-3,-5,1,4]
[-1,-2,-5,3,4]=>[-2,-3,5,-1,-4]
[-1,-2,-5,3,-4]=>[-2,-3,5,1,-4]
[-1,-2,-5,-3,4]=>[-2,-3,-5,-1,-4]
[-1,-2,-5,-3,-4]=>[-2,-3,-5,1,-4]
[1,2,5,4,3]=>[2,3,-1,5,4]
[1,2,5,4,-3]=>[2,3,1,5,4]
[1,2,5,-4,3]=>[2,3,-1,-5,4]
[1,2,5,-4,-3]=>[2,3,1,-5,4]
[1,2,-5,4,3]=>[2,3,-1,5,-4]
[1,2,-5,4,-3]=>[2,3,1,5,-4]
[1,2,-5,-4,3]=>[2,3,-1,-5,-4]
[1,2,-5,-4,-3]=>[2,3,1,-5,-4]
[1,-2,5,4,3]=>[2,-3,-1,5,4]
[1,-2,5,4,-3]=>[2,-3,1,5,4]
[1,-2,5,-4,3]=>[2,-3,-1,-5,4]
[1,-2,5,-4,-3]=>[2,-3,1,-5,4]
[1,-2,-5,4,3]=>[2,-3,-1,5,-4]
[1,-2,-5,4,-3]=>[2,-3,1,5,-4]
[1,-2,-5,-4,3]=>[2,-3,-1,-5,-4]
[1,-2,-5,-4,-3]=>[2,-3,1,-5,-4]
[-1,2,5,4,3]=>[-2,3,-1,5,4]
[-1,2,5,4,-3]=>[-2,3,1,5,4]
[-1,2,5,-4,3]=>[-2,3,-1,-5,4]
[-1,2,5,-4,-3]=>[-2,3,1,-5,4]
[-1,2,-5,4,3]=>[-2,3,-1,5,-4]
[-1,2,-5,4,-3]=>[-2,3,1,5,-4]
[-1,2,-5,-4,3]=>[-2,3,-1,-5,-4]
[-1,2,-5,-4,-3]=>[-2,3,1,-5,-4]
[-1,-2,5,4,3]=>[-2,-3,-1,5,4]
[-1,-2,5,4,-3]=>[-2,-3,1,5,4]
[-1,-2,5,-4,3]=>[-2,-3,-1,-5,4]
[-1,-2,5,-4,-3]=>[-2,-3,1,-5,4]
[-1,-2,-5,4,3]=>[-2,-3,-1,5,-4]
[-1,-2,-5,4,-3]=>[-2,-3,1,5,-4]
[-1,-2,-5,-4,3]=>[-2,-3,-1,-5,-4]
[-1,-2,-5,-4,-3]=>[-2,-3,1,-5,-4]
[1,3,2,4,5]=>[2,4,3,5,-1]
[1,3,2,4,-5]=>[2,4,3,5,1]
[1,3,2,-4,5]=>[2,4,3,-5,-1]
[1,3,2,-4,-5]=>[2,4,3,-5,1]
[1,3,-2,4,5]=>[2,-4,3,5,-1]
[1,3,-2,4,-5]=>[2,-4,3,5,1]
[1,3,-2,-4,5]=>[2,-4,3,-5,-1]
[1,3,-2,-4,-5]=>[2,-4,3,-5,1]
[1,-3,2,4,5]=>[2,4,-3,5,-1]
[1,-3,2,4,-5]=>[2,4,-3,5,1]
[1,-3,2,-4,5]=>[2,4,-3,-5,-1]
[1,-3,2,-4,-5]=>[2,4,-3,-5,1]
[1,-3,-2,4,5]=>[2,-4,-3,5,-1]
[1,-3,-2,4,-5]=>[2,-4,-3,5,1]
[1,-3,-2,-4,5]=>[2,-4,-3,-5,-1]
[1,-3,-2,-4,-5]=>[2,-4,-3,-5,1]
[-1,3,2,4,5]=>[-2,4,3,5,-1]
[-1,3,2,4,-5]=>[-2,4,3,5,1]
[-1,3,2,-4,5]=>[-2,4,3,-5,-1]
[-1,3,2,-4,-5]=>[-2,4,3,-5,1]
[-1,3,-2,4,5]=>[-2,-4,3,5,-1]
[-1,3,-2,4,-5]=>[-2,-4,3,5,1]
[-1,3,-2,-4,5]=>[-2,-4,3,-5,-1]
[-1,3,-2,-4,-5]=>[-2,-4,3,-5,1]
[-1,-3,2,4,5]=>[-2,4,-3,5,-1]
[-1,-3,2,4,-5]=>[-2,4,-3,5,1]
[-1,-3,2,-4,5]=>[-2,4,-3,-5,-1]
[-1,-3,2,-4,-5]=>[-2,4,-3,-5,1]
[-1,-3,-2,4,5]=>[-2,-4,-3,5,-1]
[-1,-3,-2,4,-5]=>[-2,-4,-3,5,1]
[-1,-3,-2,-4,5]=>[-2,-4,-3,-5,-1]
[-1,-3,-2,-4,-5]=>[-2,-4,-3,-5,1]
[1,3,2,5,4]=>[2,4,3,-1,5]
[1,3,2,5,-4]=>[2,4,3,1,5]
[1,3,2,-5,4]=>[2,4,3,-1,-5]
[1,3,2,-5,-4]=>[2,4,3,1,-5]
[1,3,-2,5,4]=>[2,-4,3,-1,5]
[1,3,-2,5,-4]=>[2,-4,3,1,5]
[1,3,-2,-5,4]=>[2,-4,3,-1,-5]
[1,3,-2,-5,-4]=>[2,-4,3,1,-5]
[1,-3,2,5,4]=>[2,4,-3,-1,5]
[1,-3,2,5,-4]=>[2,4,-3,1,5]
[1,-3,2,-5,4]=>[2,4,-3,-1,-5]
[1,-3,2,-5,-4]=>[2,4,-3,1,-5]
[1,-3,-2,5,4]=>[2,-4,-3,-1,5]
[1,-3,-2,5,-4]=>[2,-4,-3,1,5]
[1,-3,-2,-5,4]=>[2,-4,-3,-1,-5]
[1,-3,-2,-5,-4]=>[2,-4,-3,1,-5]
[-1,3,2,5,4]=>[-2,4,3,-1,5]
[-1,3,2,5,-4]=>[-2,4,3,1,5]
[-1,3,2,-5,4]=>[-2,4,3,-1,-5]
[-1,3,2,-5,-4]=>[-2,4,3,1,-5]
[-1,3,-2,5,4]=>[-2,-4,3,-1,5]
[-1,3,-2,5,-4]=>[-2,-4,3,1,5]
[-1,3,-2,-5,4]=>[-2,-4,3,-1,-5]
[-1,3,-2,-5,-4]=>[-2,-4,3,1,-5]
[-1,-3,2,5,4]=>[-2,4,-3,-1,5]
[-1,-3,2,5,-4]=>[-2,4,-3,1,5]
[-1,-3,2,-5,4]=>[-2,4,-3,-1,-5]
[-1,-3,2,-5,-4]=>[-2,4,-3,1,-5]
[-1,-3,-2,5,4]=>[-2,-4,-3,-1,5]
[-1,-3,-2,5,-4]=>[-2,-4,-3,1,5]
[-1,-3,-2,-5,4]=>[-2,-4,-3,-1,-5]
[-1,-3,-2,-5,-4]=>[-2,-4,-3,1,-5]
[1,3,4,2,5]=>[2,5,3,4,-1]
[1,3,4,2,-5]=>[2,5,3,4,1]
[1,3,4,-2,5]=>[2,-5,3,4,-1]
[1,3,4,-2,-5]=>[2,-5,3,4,1]
[1,3,-4,2,5]=>[2,5,3,-4,-1]
[1,3,-4,2,-5]=>[2,5,3,-4,1]
[1,3,-4,-2,5]=>[2,-5,3,-4,-1]
[1,3,-4,-2,-5]=>[2,-5,3,-4,1]
[1,-3,4,2,5]=>[2,5,-3,4,-1]
[1,-3,4,2,-5]=>[2,5,-3,4,1]
[1,-3,4,-2,5]=>[2,-5,-3,4,-1]
[1,-3,4,-2,-5]=>[2,-5,-3,4,1]
[1,-3,-4,2,5]=>[2,5,-3,-4,-1]
[1,-3,-4,2,-5]=>[2,5,-3,-4,1]
[1,-3,-4,-2,5]=>[2,-5,-3,-4,-1]
[1,-3,-4,-2,-5]=>[2,-5,-3,-4,1]
[-1,3,4,2,5]=>[-2,5,3,4,-1]
[-1,3,4,2,-5]=>[-2,5,3,4,1]
[-1,3,4,-2,5]=>[-2,-5,3,4,-1]
[-1,3,4,-2,-5]=>[-2,-5,3,4,1]
[-1,3,-4,2,5]=>[-2,5,3,-4,-1]
[-1,3,-4,2,-5]=>[-2,5,3,-4,1]
[-1,3,-4,-2,5]=>[-2,-5,3,-4,-1]
[-1,3,-4,-2,-5]=>[-2,-5,3,-4,1]
[-1,-3,4,2,5]=>[-2,5,-3,4,-1]
[-1,-3,4,2,-5]=>[-2,5,-3,4,1]
[-1,-3,4,-2,5]=>[-2,-5,-3,4,-1]
[-1,-3,4,-2,-5]=>[-2,-5,-3,4,1]
[-1,-3,-4,2,5]=>[-2,5,-3,-4,-1]
[-1,-3,-4,2,-5]=>[-2,5,-3,-4,1]
[-1,-3,-4,-2,5]=>[-2,-5,-3,-4,-1]
[-1,-3,-4,-2,-5]=>[-2,-5,-3,-4,1]
[1,3,4,5,2]=>[2,-1,3,4,5]
[1,3,4,5,-2]=>[2,1,3,4,5]
[1,3,4,-5,2]=>[2,-1,3,4,-5]
[1,3,4,-5,-2]=>[2,1,3,4,-5]
[1,3,-4,5,2]=>[2,-1,3,-4,5]
[1,3,-4,5,-2]=>[2,1,3,-4,5]
[1,3,-4,-5,2]=>[2,-1,3,-4,-5]
[1,3,-4,-5,-2]=>[2,1,3,-4,-5]
[1,-3,4,5,2]=>[2,-1,-3,4,5]
[1,-3,4,5,-2]=>[2,1,-3,4,5]
[1,-3,4,-5,2]=>[2,-1,-3,4,-5]
[1,-3,4,-5,-2]=>[2,1,-3,4,-5]
[1,-3,-4,5,2]=>[2,-1,-3,-4,5]
[1,-3,-4,5,-2]=>[2,1,-3,-4,5]
[1,-3,-4,-5,2]=>[2,-1,-3,-4,-5]
[1,-3,-4,-5,-2]=>[2,1,-3,-4,-5]
[-1,3,4,5,2]=>[-2,-1,3,4,5]
[-1,3,4,5,-2]=>[-2,1,3,4,5]
[-1,3,4,-5,2]=>[-2,-1,3,4,-5]
[-1,3,4,-5,-2]=>[-2,1,3,4,-5]
[-1,3,-4,5,2]=>[-2,-1,3,-4,5]
[-1,3,-4,5,-2]=>[-2,1,3,-4,5]
[-1,3,-4,-5,2]=>[-2,-1,3,-4,-5]
[-1,3,-4,-5,-2]=>[-2,1,3,-4,-5]
[-1,-3,4,5,2]=>[-2,-1,-3,4,5]
[-1,-3,4,5,-2]=>[-2,1,-3,4,5]
[-1,-3,4,-5,2]=>[-2,-1,-3,4,-5]
[-1,-3,4,-5,-2]=>[-2,1,-3,4,-5]
[-1,-3,-4,5,2]=>[-2,-1,-3,-4,5]
[-1,-3,-4,5,-2]=>[-2,1,-3,-4,5]
[-1,-3,-4,-5,2]=>[-2,-1,-3,-4,-5]
[-1,-3,-4,-5,-2]=>[-2,1,-3,-4,-5]
[1,3,5,2,4]=>[2,5,3,-1,4]
[1,3,5,2,-4]=>[2,5,3,1,4]
[1,3,5,-2,4]=>[2,-5,3,-1,4]
[1,3,5,-2,-4]=>[2,-5,3,1,4]
[1,3,-5,2,4]=>[2,5,3,-1,-4]
[1,3,-5,2,-4]=>[2,5,3,1,-4]
[1,3,-5,-2,4]=>[2,-5,3,-1,-4]
[1,3,-5,-2,-4]=>[2,-5,3,1,-4]
[1,-3,5,2,4]=>[2,5,-3,-1,4]
[1,-3,5,2,-4]=>[2,5,-3,1,4]
[1,-3,5,-2,4]=>[2,-5,-3,-1,4]
[1,-3,5,-2,-4]=>[2,-5,-3,1,4]
[1,-3,-5,2,4]=>[2,5,-3,-1,-4]
[1,-3,-5,2,-4]=>[2,5,-3,1,-4]
[1,-3,-5,-2,4]=>[2,-5,-3,-1,-4]
[1,-3,-5,-2,-4]=>[2,-5,-3,1,-4]
[-1,3,5,2,4]=>[-2,5,3,-1,4]
[-1,3,5,2,-4]=>[-2,5,3,1,4]
[-1,3,5,-2,4]=>[-2,-5,3,-1,4]
[-1,3,5,-2,-4]=>[-2,-5,3,1,4]
[-1,3,-5,2,4]=>[-2,5,3,-1,-4]
[-1,3,-5,2,-4]=>[-2,5,3,1,-4]
[-1,3,-5,-2,4]=>[-2,-5,3,-1,-4]
[-1,3,-5,-2,-4]=>[-2,-5,3,1,-4]
[-1,-3,5,2,4]=>[-2,5,-3,-1,4]
[-1,-3,5,2,-4]=>[-2,5,-3,1,4]
[-1,-3,5,-2,4]=>[-2,-5,-3,-1,4]
[-1,-3,5,-2,-4]=>[-2,-5,-3,1,4]
[-1,-3,-5,2,4]=>[-2,5,-3,-1,-4]
[-1,-3,-5,2,-4]=>[-2,5,-3,1,-4]
[-1,-3,-5,-2,4]=>[-2,-5,-3,-1,-4]
[-1,-3,-5,-2,-4]=>[-2,-5,-3,1,-4]
[1,3,5,4,2]=>[2,-1,3,5,4]
[1,3,5,4,-2]=>[2,1,3,5,4]
[1,3,5,-4,2]=>[2,-1,3,-5,4]
[1,3,5,-4,-2]=>[2,1,3,-5,4]
[1,3,-5,4,2]=>[2,-1,3,5,-4]
[1,3,-5,4,-2]=>[2,1,3,5,-4]
[1,3,-5,-4,2]=>[2,-1,3,-5,-4]
[1,3,-5,-4,-2]=>[2,1,3,-5,-4]
[1,-3,5,4,2]=>[2,-1,-3,5,4]
[1,-3,5,4,-2]=>[2,1,-3,5,4]
[1,-3,5,-4,2]=>[2,-1,-3,-5,4]
[1,-3,5,-4,-2]=>[2,1,-3,-5,4]
[1,-3,-5,4,2]=>[2,-1,-3,5,-4]
[1,-3,-5,4,-2]=>[2,1,-3,5,-4]
[1,-3,-5,-4,2]=>[2,-1,-3,-5,-4]
[1,-3,-5,-4,-2]=>[2,1,-3,-5,-4]
[-1,3,5,4,2]=>[-2,-1,3,5,4]
[-1,3,5,4,-2]=>[-2,1,3,5,4]
[-1,3,5,-4,2]=>[-2,-1,3,-5,4]
[-1,3,5,-4,-2]=>[-2,1,3,-5,4]
[-1,3,-5,4,2]=>[-2,-1,3,5,-4]
[-1,3,-5,4,-2]=>[-2,1,3,5,-4]
[-1,3,-5,-4,2]=>[-2,-1,3,-5,-4]
[-1,3,-5,-4,-2]=>[-2,1,3,-5,-4]
[-1,-3,5,4,2]=>[-2,-1,-3,5,4]
[-1,-3,5,4,-2]=>[-2,1,-3,5,4]
[-1,-3,5,-4,2]=>[-2,-1,-3,-5,4]
[-1,-3,5,-4,-2]=>[-2,1,-3,-5,4]
[-1,-3,-5,4,2]=>[-2,-1,-3,5,-4]
[-1,-3,-5,4,-2]=>[-2,1,-3,5,-4]
[-1,-3,-5,-4,2]=>[-2,-1,-3,-5,-4]
[-1,-3,-5,-4,-2]=>[-2,1,-3,-5,-4]
[1,4,2,3,5]=>[2,4,5,3,-1]
[1,4,2,3,-5]=>[2,4,5,3,1]
[1,4,2,-3,5]=>[2,4,-5,3,-1]
[1,4,2,-3,-5]=>[2,4,-5,3,1]
[1,4,-2,3,5]=>[2,-4,5,3,-1]
[1,4,-2,3,-5]=>[2,-4,5,3,1]
[1,4,-2,-3,5]=>[2,-4,-5,3,-1]
[1,4,-2,-3,-5]=>[2,-4,-5,3,1]
[1,-4,2,3,5]=>[2,4,5,-3,-1]
[1,-4,2,3,-5]=>[2,4,5,-3,1]
[1,-4,2,-3,5]=>[2,4,-5,-3,-1]
[1,-4,2,-3,-5]=>[2,4,-5,-3,1]
[1,-4,-2,3,5]=>[2,-4,5,-3,-1]
[1,-4,-2,3,-5]=>[2,-4,5,-3,1]
[1,-4,-2,-3,5]=>[2,-4,-5,-3,-1]
[1,-4,-2,-3,-5]=>[2,-4,-5,-3,1]
[-1,4,2,3,5]=>[-2,4,5,3,-1]
[-1,4,2,3,-5]=>[-2,4,5,3,1]
[-1,4,2,-3,5]=>[-2,4,-5,3,-1]
[-1,4,2,-3,-5]=>[-2,4,-5,3,1]
[-1,4,-2,3,5]=>[-2,-4,5,3,-1]
[-1,4,-2,3,-5]=>[-2,-4,5,3,1]
[-1,4,-2,-3,5]=>[-2,-4,-5,3,-1]
[-1,4,-2,-3,-5]=>[-2,-4,-5,3,1]
[-1,-4,2,3,5]=>[-2,4,5,-3,-1]
[-1,-4,2,3,-5]=>[-2,4,5,-3,1]
[-1,-4,2,-3,5]=>[-2,4,-5,-3,-1]
[-1,-4,2,-3,-5]=>[-2,4,-5,-3,1]
[-1,-4,-2,3,5]=>[-2,-4,5,-3,-1]
[-1,-4,-2,3,-5]=>[-2,-4,5,-3,1]
[-1,-4,-2,-3,5]=>[-2,-4,-5,-3,-1]
[-1,-4,-2,-3,-5]=>[-2,-4,-5,-3,1]
[1,4,2,5,3]=>[2,4,-1,3,5]
[1,4,2,5,-3]=>[2,4,1,3,5]
[1,4,2,-5,3]=>[2,4,-1,3,-5]
[1,4,2,-5,-3]=>[2,4,1,3,-5]
[1,4,-2,5,3]=>[2,-4,-1,3,5]
[1,4,-2,5,-3]=>[2,-4,1,3,5]
[1,4,-2,-5,3]=>[2,-4,-1,3,-5]
[1,4,-2,-5,-3]=>[2,-4,1,3,-5]
[1,-4,2,5,3]=>[2,4,-1,-3,5]
[1,-4,2,5,-3]=>[2,4,1,-3,5]
[1,-4,2,-5,3]=>[2,4,-1,-3,-5]
[1,-4,2,-5,-3]=>[2,4,1,-3,-5]
[1,-4,-2,5,3]=>[2,-4,-1,-3,5]
[1,-4,-2,5,-3]=>[2,-4,1,-3,5]
[1,-4,-2,-5,3]=>[2,-4,-1,-3,-5]
[1,-4,-2,-5,-3]=>[2,-4,1,-3,-5]
[-1,4,2,5,3]=>[-2,4,-1,3,5]
[-1,4,2,5,-3]=>[-2,4,1,3,5]
[-1,4,2,-5,3]=>[-2,4,-1,3,-5]
[-1,4,2,-5,-3]=>[-2,4,1,3,-5]
[-1,4,-2,5,3]=>[-2,-4,-1,3,5]
[-1,4,-2,5,-3]=>[-2,-4,1,3,5]
[-1,4,-2,-5,3]=>[-2,-4,-1,3,-5]
[-1,4,-2,-5,-3]=>[-2,-4,1,3,-5]
[-1,-4,2,5,3]=>[-2,4,-1,-3,5]
[-1,-4,2,5,-3]=>[-2,4,1,-3,5]
[-1,-4,2,-5,3]=>[-2,4,-1,-3,-5]
[-1,-4,2,-5,-3]=>[-2,4,1,-3,-5]
[-1,-4,-2,5,3]=>[-2,-4,-1,-3,5]
[-1,-4,-2,5,-3]=>[-2,-4,1,-3,5]
[-1,-4,-2,-5,3]=>[-2,-4,-1,-3,-5]
[-1,-4,-2,-5,-3]=>[-2,-4,1,-3,-5]
[1,4,3,2,5]=>[2,5,4,3,-1]
[1,4,3,2,-5]=>[2,5,4,3,1]
[1,4,3,-2,5]=>[2,-5,4,3,-1]
[1,4,3,-2,-5]=>[2,-5,4,3,1]
[1,4,-3,2,5]=>[2,5,-4,3,-1]
[1,4,-3,2,-5]=>[2,5,-4,3,1]
[1,4,-3,-2,5]=>[2,-5,-4,3,-1]
[1,4,-3,-2,-5]=>[2,-5,-4,3,1]
[1,-4,3,2,5]=>[2,5,4,-3,-1]
[1,-4,3,2,-5]=>[2,5,4,-3,1]
[1,-4,3,-2,5]=>[2,-5,4,-3,-1]
[1,-4,3,-2,-5]=>[2,-5,4,-3,1]
[1,-4,-3,2,5]=>[2,5,-4,-3,-1]
[1,-4,-3,2,-5]=>[2,5,-4,-3,1]
[1,-4,-3,-2,5]=>[2,-5,-4,-3,-1]
[1,-4,-3,-2,-5]=>[2,-5,-4,-3,1]
[-1,4,3,2,5]=>[-2,5,4,3,-1]
[-1,4,3,2,-5]=>[-2,5,4,3,1]
[-1,4,3,-2,5]=>[-2,-5,4,3,-1]
[-1,4,3,-2,-5]=>[-2,-5,4,3,1]
[-1,4,-3,2,5]=>[-2,5,-4,3,-1]
[-1,4,-3,2,-5]=>[-2,5,-4,3,1]
[-1,4,-3,-2,5]=>[-2,-5,-4,3,-1]
[-1,4,-3,-2,-5]=>[-2,-5,-4,3,1]
[-1,-4,3,2,5]=>[-2,5,4,-3,-1]
[-1,-4,3,2,-5]=>[-2,5,4,-3,1]
[-1,-4,3,-2,5]=>[-2,-5,4,-3,-1]
[-1,-4,3,-2,-5]=>[-2,-5,4,-3,1]
[-1,-4,-3,2,5]=>[-2,5,-4,-3,-1]
[-1,-4,-3,2,-5]=>[-2,5,-4,-3,1]
[-1,-4,-3,-2,5]=>[-2,-5,-4,-3,-1]
[-1,-4,-3,-2,-5]=>[-2,-5,-4,-3,1]
[1,4,3,5,2]=>[2,-1,4,3,5]
[1,4,3,5,-2]=>[2,1,4,3,5]
[1,4,3,-5,2]=>[2,-1,4,3,-5]
[1,4,3,-5,-2]=>[2,1,4,3,-5]
[1,4,-3,5,2]=>[2,-1,-4,3,5]
[1,4,-3,5,-2]=>[2,1,-4,3,5]
[1,4,-3,-5,2]=>[2,-1,-4,3,-5]
[1,4,-3,-5,-2]=>[2,1,-4,3,-5]
[1,-4,3,5,2]=>[2,-1,4,-3,5]
[1,-4,3,5,-2]=>[2,1,4,-3,5]
[1,-4,3,-5,2]=>[2,-1,4,-3,-5]
[1,-4,3,-5,-2]=>[2,1,4,-3,-5]
[1,-4,-3,5,2]=>[2,-1,-4,-3,5]
[1,-4,-3,5,-2]=>[2,1,-4,-3,5]
[1,-4,-3,-5,2]=>[2,-1,-4,-3,-5]
[1,-4,-3,-5,-2]=>[2,1,-4,-3,-5]
[-1,4,3,5,2]=>[-2,-1,4,3,5]
[-1,4,3,5,-2]=>[-2,1,4,3,5]
[-1,4,3,-5,2]=>[-2,-1,4,3,-5]
[-1,4,3,-5,-2]=>[-2,1,4,3,-5]
[-1,4,-3,5,2]=>[-2,-1,-4,3,5]
[-1,4,-3,5,-2]=>[-2,1,-4,3,5]
[-1,4,-3,-5,2]=>[-2,-1,-4,3,-5]
[-1,4,-3,-5,-2]=>[-2,1,-4,3,-5]
[-1,-4,3,5,2]=>[-2,-1,4,-3,5]
[-1,-4,3,5,-2]=>[-2,1,4,-3,5]
[-1,-4,3,-5,2]=>[-2,-1,4,-3,-5]
[-1,-4,3,-5,-2]=>[-2,1,4,-3,-5]
[-1,-4,-3,5,2]=>[-2,-1,-4,-3,5]
[-1,-4,-3,5,-2]=>[-2,1,-4,-3,5]
[-1,-4,-3,-5,2]=>[-2,-1,-4,-3,-5]
[-1,-4,-3,-5,-2]=>[-2,1,-4,-3,-5]
[1,4,5,2,3]=>[2,5,-1,3,4]
[1,4,5,2,-3]=>[2,5,1,3,4]
[1,4,5,-2,3]=>[2,-5,-1,3,4]
[1,4,5,-2,-3]=>[2,-5,1,3,4]
[1,4,-5,2,3]=>[2,5,-1,3,-4]
[1,4,-5,2,-3]=>[2,5,1,3,-4]
[1,4,-5,-2,3]=>[2,-5,-1,3,-4]
[1,4,-5,-2,-3]=>[2,-5,1,3,-4]
[1,-4,5,2,3]=>[2,5,-1,-3,4]
[1,-4,5,2,-3]=>[2,5,1,-3,4]
[1,-4,5,-2,3]=>[2,-5,-1,-3,4]
[1,-4,5,-2,-3]=>[2,-5,1,-3,4]
[1,-4,-5,2,3]=>[2,5,-1,-3,-4]
[1,-4,-5,2,-3]=>[2,5,1,-3,-4]
[1,-4,-5,-2,3]=>[2,-5,-1,-3,-4]
[1,-4,-5,-2,-3]=>[2,-5,1,-3,-4]
[-1,4,5,2,3]=>[-2,5,-1,3,4]
[-1,4,5,2,-3]=>[-2,5,1,3,4]
[-1,4,5,-2,3]=>[-2,-5,-1,3,4]
[-1,4,5,-2,-3]=>[-2,-5,1,3,4]
[-1,4,-5,2,3]=>[-2,5,-1,3,-4]
[-1,4,-5,2,-3]=>[-2,5,1,3,-4]
[-1,4,-5,-2,3]=>[-2,-5,-1,3,-4]
[-1,4,-5,-2,-3]=>[-2,-5,1,3,-4]
[-1,-4,5,2,3]=>[-2,5,-1,-3,4]
[-1,-4,5,2,-3]=>[-2,5,1,-3,4]
[-1,-4,5,-2,3]=>[-2,-5,-1,-3,4]
[-1,-4,5,-2,-3]=>[-2,-5,1,-3,4]
[-1,-4,-5,2,3]=>[-2,5,-1,-3,-4]
[-1,-4,-5,2,-3]=>[-2,5,1,-3,-4]
[-1,-4,-5,-2,3]=>[-2,-5,-1,-3,-4]
[-1,-4,-5,-2,-3]=>[-2,-5,1,-3,-4]
[1,4,5,3,2]=>[2,-1,5,3,4]
[1,4,5,3,-2]=>[2,1,5,3,4]
[1,4,5,-3,2]=>[2,-1,-5,3,4]
[1,4,5,-3,-2]=>[2,1,-5,3,4]
[1,4,-5,3,2]=>[2,-1,5,3,-4]
[1,4,-5,3,-2]=>[2,1,5,3,-4]
[1,4,-5,-3,2]=>[2,-1,-5,3,-4]
[1,4,-5,-3,-2]=>[2,1,-5,3,-4]
[1,-4,5,3,2]=>[2,-1,5,-3,4]
[1,-4,5,3,-2]=>[2,1,5,-3,4]
[1,-4,5,-3,2]=>[2,-1,-5,-3,4]
[1,-4,5,-3,-2]=>[2,1,-5,-3,4]
[1,-4,-5,3,2]=>[2,-1,5,-3,-4]
[1,-4,-5,3,-2]=>[2,1,5,-3,-4]
[1,-4,-5,-3,2]=>[2,-1,-5,-3,-4]
[1,-4,-5,-3,-2]=>[2,1,-5,-3,-4]
[-1,4,5,3,2]=>[-2,-1,5,3,4]
[-1,4,5,3,-2]=>[-2,1,5,3,4]
[-1,4,5,-3,2]=>[-2,-1,-5,3,4]
[-1,4,5,-3,-2]=>[-2,1,-5,3,4]
[-1,4,-5,3,2]=>[-2,-1,5,3,-4]
[-1,4,-5,3,-2]=>[-2,1,5,3,-4]
[-1,4,-5,-3,2]=>[-2,-1,-5,3,-4]
[-1,4,-5,-3,-2]=>[-2,1,-5,3,-4]
[-1,-4,5,3,2]=>[-2,-1,5,-3,4]
[-1,-4,5,3,-2]=>[-2,1,5,-3,4]
[-1,-4,5,-3,2]=>[-2,-1,-5,-3,4]
[-1,-4,5,-3,-2]=>[-2,1,-5,-3,4]
[-1,-4,-5,3,2]=>[-2,-1,5,-3,-4]
[-1,-4,-5,3,-2]=>[-2,1,5,-3,-4]
[-1,-4,-5,-3,2]=>[-2,-1,-5,-3,-4]
[-1,-4,-5,-3,-2]=>[-2,1,-5,-3,-4]
[1,5,2,3,4]=>[2,4,5,-1,3]
[1,5,2,3,-4]=>[2,4,5,1,3]
[1,5,2,-3,4]=>[2,4,-5,-1,3]
[1,5,2,-3,-4]=>[2,4,-5,1,3]
[1,5,-2,3,4]=>[2,-4,5,-1,3]
[1,5,-2,3,-4]=>[2,-4,5,1,3]
[1,5,-2,-3,4]=>[2,-4,-5,-1,3]
[1,5,-2,-3,-4]=>[2,-4,-5,1,3]
[1,-5,2,3,4]=>[2,4,5,-1,-3]
[1,-5,2,3,-4]=>[2,4,5,1,-3]
[1,-5,2,-3,4]=>[2,4,-5,-1,-3]
[1,-5,2,-3,-4]=>[2,4,-5,1,-3]
[1,-5,-2,3,4]=>[2,-4,5,-1,-3]
[1,-5,-2,3,-4]=>[2,-4,5,1,-3]
[1,-5,-2,-3,4]=>[2,-4,-5,-1,-3]
[1,-5,-2,-3,-4]=>[2,-4,-5,1,-3]
[-1,5,2,3,4]=>[-2,4,5,-1,3]
[-1,5,2,3,-4]=>[-2,4,5,1,3]
[-1,5,2,-3,4]=>[-2,4,-5,-1,3]
[-1,5,2,-3,-4]=>[-2,4,-5,1,3]
[-1,5,-2,3,4]=>[-2,-4,5,-1,3]
[-1,5,-2,3,-4]=>[-2,-4,5,1,3]
[-1,5,-2,-3,4]=>[-2,-4,-5,-1,3]
[-1,5,-2,-3,-4]=>[-2,-4,-5,1,3]
[-1,-5,2,3,4]=>[-2,4,5,-1,-3]
[-1,-5,2,3,-4]=>[-2,4,5,1,-3]
[-1,-5,2,-3,4]=>[-2,4,-5,-1,-3]
[-1,-5,2,-3,-4]=>[-2,4,-5,1,-3]
[-1,-5,-2,3,4]=>[-2,-4,5,-1,-3]
[-1,-5,-2,3,-4]=>[-2,-4,5,1,-3]
[-1,-5,-2,-3,4]=>[-2,-4,-5,-1,-3]
[-1,-5,-2,-3,-4]=>[-2,-4,-5,1,-3]
[1,5,2,4,3]=>[2,4,-1,5,3]
[1,5,2,4,-3]=>[2,4,1,5,3]
[1,5,2,-4,3]=>[2,4,-1,-5,3]
[1,5,2,-4,-3]=>[2,4,1,-5,3]
[1,5,-2,4,3]=>[2,-4,-1,5,3]
[1,5,-2,4,-3]=>[2,-4,1,5,3]
[1,5,-2,-4,3]=>[2,-4,-1,-5,3]
[1,5,-2,-4,-3]=>[2,-4,1,-5,3]
[1,-5,2,4,3]=>[2,4,-1,5,-3]
[1,-5,2,4,-3]=>[2,4,1,5,-3]
[1,-5,2,-4,3]=>[2,4,-1,-5,-3]
[1,-5,2,-4,-3]=>[2,4,1,-5,-3]
[1,-5,-2,4,3]=>[2,-4,-1,5,-3]
[1,-5,-2,4,-3]=>[2,-4,1,5,-3]
[1,-5,-2,-4,3]=>[2,-4,-1,-5,-3]
[1,-5,-2,-4,-3]=>[2,-4,1,-5,-3]
[-1,5,2,4,3]=>[-2,4,-1,5,3]
[-1,5,2,4,-3]=>[-2,4,1,5,3]
[-1,5,2,-4,3]=>[-2,4,-1,-5,3]
[-1,5,2,-4,-3]=>[-2,4,1,-5,3]
[-1,5,-2,4,3]=>[-2,-4,-1,5,3]
[-1,5,-2,4,-3]=>[-2,-4,1,5,3]
[-1,5,-2,-4,3]=>[-2,-4,-1,-5,3]
[-1,5,-2,-4,-3]=>[-2,-4,1,-5,3]
[-1,-5,2,4,3]=>[-2,4,-1,5,-3]
[-1,-5,2,4,-3]=>[-2,4,1,5,-3]
[-1,-5,2,-4,3]=>[-2,4,-1,-5,-3]
[-1,-5,2,-4,-3]=>[-2,4,1,-5,-3]
[-1,-5,-2,4,3]=>[-2,-4,-1,5,-3]
[-1,-5,-2,4,-3]=>[-2,-4,1,5,-3]
[-1,-5,-2,-4,3]=>[-2,-4,-1,-5,-3]
[-1,-5,-2,-4,-3]=>[-2,-4,1,-5,-3]
[1,5,3,2,4]=>[2,5,4,-1,3]
[1,5,3,2,-4]=>[2,5,4,1,3]
[1,5,3,-2,4]=>[2,-5,4,-1,3]
[1,5,3,-2,-4]=>[2,-5,4,1,3]
[1,5,-3,2,4]=>[2,5,-4,-1,3]
[1,5,-3,2,-4]=>[2,5,-4,1,3]
[1,5,-3,-2,4]=>[2,-5,-4,-1,3]
[1,5,-3,-2,-4]=>[2,-5,-4,1,3]
[1,-5,3,2,4]=>[2,5,4,-1,-3]
[1,-5,3,2,-4]=>[2,5,4,1,-3]
[1,-5,3,-2,4]=>[2,-5,4,-1,-3]
[1,-5,3,-2,-4]=>[2,-5,4,1,-3]
[1,-5,-3,2,4]=>[2,5,-4,-1,-3]
[1,-5,-3,2,-4]=>[2,5,-4,1,-3]
[1,-5,-3,-2,4]=>[2,-5,-4,-1,-3]
[1,-5,-3,-2,-4]=>[2,-5,-4,1,-3]
[-1,5,3,2,4]=>[-2,5,4,-1,3]
[-1,5,3,2,-4]=>[-2,5,4,1,3]
[-1,5,3,-2,4]=>[-2,-5,4,-1,3]
[-1,5,3,-2,-4]=>[-2,-5,4,1,3]
[-1,5,-3,2,4]=>[-2,5,-4,-1,3]
[-1,5,-3,2,-4]=>[-2,5,-4,1,3]
[-1,5,-3,-2,4]=>[-2,-5,-4,-1,3]
[-1,5,-3,-2,-4]=>[-2,-5,-4,1,3]
[-1,-5,3,2,4]=>[-2,5,4,-1,-3]
[-1,-5,3,2,-4]=>[-2,5,4,1,-3]
[-1,-5,3,-2,4]=>[-2,-5,4,-1,-3]
[-1,-5,3,-2,-4]=>[-2,-5,4,1,-3]
[-1,-5,-3,2,4]=>[-2,5,-4,-1,-3]
[-1,-5,-3,2,-4]=>[-2,5,-4,1,-3]
[-1,-5,-3,-2,4]=>[-2,-5,-4,-1,-3]
[-1,-5,-3,-2,-4]=>[-2,-5,-4,1,-3]
[1,5,3,4,2]=>[2,-1,4,5,3]
[1,5,3,4,-2]=>[2,1,4,5,3]
[1,5,3,-4,2]=>[2,-1,4,-5,3]
[1,5,3,-4,-2]=>[2,1,4,-5,3]
[1,5,-3,4,2]=>[2,-1,-4,5,3]
[1,5,-3,4,-2]=>[2,1,-4,5,3]
[1,5,-3,-4,2]=>[2,-1,-4,-5,3]
[1,5,-3,-4,-2]=>[2,1,-4,-5,3]
[1,-5,3,4,2]=>[2,-1,4,5,-3]
[1,-5,3,4,-2]=>[2,1,4,5,-3]
[1,-5,3,-4,2]=>[2,-1,4,-5,-3]
[1,-5,3,-4,-2]=>[2,1,4,-5,-3]
[1,-5,-3,4,2]=>[2,-1,-4,5,-3]
[1,-5,-3,4,-2]=>[2,1,-4,5,-3]
[1,-5,-3,-4,2]=>[2,-1,-4,-5,-3]
[1,-5,-3,-4,-2]=>[2,1,-4,-5,-3]
[-1,5,3,4,2]=>[-2,-1,4,5,3]
[-1,5,3,4,-2]=>[-2,1,4,5,3]
[-1,5,3,-4,2]=>[-2,-1,4,-5,3]
[-1,5,3,-4,-2]=>[-2,1,4,-5,3]
[-1,5,-3,4,2]=>[-2,-1,-4,5,3]
[-1,5,-3,4,-2]=>[-2,1,-4,5,3]
[-1,5,-3,-4,2]=>[-2,-1,-4,-5,3]
[-1,5,-3,-4,-2]=>[-2,1,-4,-5,3]
[-1,-5,3,4,2]=>[-2,-1,4,5,-3]
[-1,-5,3,4,-2]=>[-2,1,4,5,-3]
[-1,-5,3,-4,2]=>[-2,-1,4,-5,-3]
[-1,-5,3,-4,-2]=>[-2,1,4,-5,-3]
[-1,-5,-3,4,2]=>[-2,-1,-4,5,-3]
[-1,-5,-3,4,-2]=>[-2,1,-4,5,-3]
[-1,-5,-3,-4,2]=>[-2,-1,-4,-5,-3]
[-1,-5,-3,-4,-2]=>[-2,1,-4,-5,-3]
[1,5,4,2,3]=>[2,5,-1,4,3]
[1,5,4,2,-3]=>[2,5,1,4,3]
[1,5,4,-2,3]=>[2,-5,-1,4,3]
[1,5,4,-2,-3]=>[2,-5,1,4,3]
[1,5,-4,2,3]=>[2,5,-1,-4,3]
[1,5,-4,2,-3]=>[2,5,1,-4,3]
[1,5,-4,-2,3]=>[2,-5,-1,-4,3]
[1,5,-4,-2,-3]=>[2,-5,1,-4,3]
[1,-5,4,2,3]=>[2,5,-1,4,-3]
[1,-5,4,2,-3]=>[2,5,1,4,-3]
[1,-5,4,-2,3]=>[2,-5,-1,4,-3]
[1,-5,4,-2,-3]=>[2,-5,1,4,-3]
[1,-5,-4,2,3]=>[2,5,-1,-4,-3]
[1,-5,-4,2,-3]=>[2,5,1,-4,-3]
[1,-5,-4,-2,3]=>[2,-5,-1,-4,-3]
[1,-5,-4,-2,-3]=>[2,-5,1,-4,-3]
[-1,5,4,2,3]=>[-2,5,-1,4,3]
[-1,5,4,2,-3]=>[-2,5,1,4,3]
[-1,5,4,-2,3]=>[-2,-5,-1,4,3]
[-1,5,4,-2,-3]=>[-2,-5,1,4,3]
[-1,5,-4,2,3]=>[-2,5,-1,-4,3]
[-1,5,-4,2,-3]=>[-2,5,1,-4,3]
[-1,5,-4,-2,3]=>[-2,-5,-1,-4,3]
[-1,5,-4,-2,-3]=>[-2,-5,1,-4,3]
[-1,-5,4,2,3]=>[-2,5,-1,4,-3]
[-1,-5,4,2,-3]=>[-2,5,1,4,-3]
[-1,-5,4,-2,3]=>[-2,-5,-1,4,-3]
[-1,-5,4,-2,-3]=>[-2,-5,1,4,-3]
[-1,-5,-4,2,3]=>[-2,5,-1,-4,-3]
[-1,-5,-4,2,-3]=>[-2,5,1,-4,-3]
[-1,-5,-4,-2,3]=>[-2,-5,-1,-4,-3]
[-1,-5,-4,-2,-3]=>[-2,-5,1,-4,-3]
[1,5,4,3,2]=>[2,-1,5,4,3]
[1,5,4,3,-2]=>[2,1,5,4,3]
[1,5,4,-3,2]=>[2,-1,-5,4,3]
[1,5,4,-3,-2]=>[2,1,-5,4,3]
[1,5,-4,3,2]=>[2,-1,5,-4,3]
[1,5,-4,3,-2]=>[2,1,5,-4,3]
[1,5,-4,-3,2]=>[2,-1,-5,-4,3]
[1,5,-4,-3,-2]=>[2,1,-5,-4,3]
[1,-5,4,3,2]=>[2,-1,5,4,-3]
[1,-5,4,3,-2]=>[2,1,5,4,-3]
[1,-5,4,-3,2]=>[2,-1,-5,4,-3]
[1,-5,4,-3,-2]=>[2,1,-5,4,-3]
[1,-5,-4,3,2]=>[2,-1,5,-4,-3]
[1,-5,-4,3,-2]=>[2,1,5,-4,-3]
[1,-5,-4,-3,2]=>[2,-1,-5,-4,-3]
[1,-5,-4,-3,-2]=>[2,1,-5,-4,-3]
[-1,5,4,3,2]=>[-2,-1,5,4,3]
[-1,5,4,3,-2]=>[-2,1,5,4,3]
[-1,5,4,-3,2]=>[-2,-1,-5,4,3]
[-1,5,4,-3,-2]=>[-2,1,-5,4,3]
[-1,5,-4,3,2]=>[-2,-1,5,-4,3]
[-1,5,-4,3,-2]=>[-2,1,5,-4,3]
[-1,5,-4,-3,2]=>[-2,-1,-5,-4,3]
[-1,5,-4,-3,-2]=>[-2,1,-5,-4,3]
[-1,-5,4,3,2]=>[-2,-1,5,4,-3]
[-1,-5,4,3,-2]=>[-2,1,5,4,-3]
[-1,-5,4,-3,2]=>[-2,-1,-5,4,-3]
[-1,-5,4,-3,-2]=>[-2,1,-5,4,-3]
[-1,-5,-4,3,2]=>[-2,-1,5,-4,-3]
[-1,-5,-4,3,-2]=>[-2,1,5,-4,-3]
[-1,-5,-4,-3,2]=>[-2,-1,-5,-4,-3]
[-1,-5,-4,-3,-2]=>[-2,1,-5,-4,-3]
[2,1,3,4,5]=>[3,2,4,5,-1]
[2,1,3,4,-5]=>[3,2,4,5,1]
[2,1,3,-4,5]=>[3,2,4,-5,-1]
[2,1,3,-4,-5]=>[3,2,4,-5,1]
[2,1,-3,4,5]=>[3,2,-4,5,-1]
[2,1,-3,4,-5]=>[3,2,-4,5,1]
[2,1,-3,-4,5]=>[3,2,-4,-5,-1]
[2,1,-3,-4,-5]=>[3,2,-4,-5,1]
[2,-1,3,4,5]=>[-3,2,4,5,-1]
[2,-1,3,4,-5]=>[-3,2,4,5,1]
[2,-1,3,-4,5]=>[-3,2,4,-5,-1]
[2,-1,3,-4,-5]=>[-3,2,4,-5,1]
[2,-1,-3,4,5]=>[-3,2,-4,5,-1]
[2,-1,-3,4,-5]=>[-3,2,-4,5,1]
[2,-1,-3,-4,5]=>[-3,2,-4,-5,-1]
[2,-1,-3,-4,-5]=>[-3,2,-4,-5,1]
[-2,1,3,4,5]=>[3,-2,4,5,-1]
[-2,1,3,4,-5]=>[3,-2,4,5,1]
[-2,1,3,-4,5]=>[3,-2,4,-5,-1]
[-2,1,3,-4,-5]=>[3,-2,4,-5,1]
[-2,1,-3,4,5]=>[3,-2,-4,5,-1]
[-2,1,-3,4,-5]=>[3,-2,-4,5,1]
[-2,1,-3,-4,5]=>[3,-2,-4,-5,-1]
[-2,1,-3,-4,-5]=>[3,-2,-4,-5,1]
[-2,-1,3,4,5]=>[-3,-2,4,5,-1]
[-2,-1,3,4,-5]=>[-3,-2,4,5,1]
[-2,-1,3,-4,5]=>[-3,-2,4,-5,-1]
[-2,-1,3,-4,-5]=>[-3,-2,4,-5,1]
[-2,-1,-3,4,5]=>[-3,-2,-4,5,-1]
[-2,-1,-3,4,-5]=>[-3,-2,-4,5,1]
[-2,-1,-3,-4,5]=>[-3,-2,-4,-5,-1]
[-2,-1,-3,-4,-5]=>[-3,-2,-4,-5,1]
[2,1,3,5,4]=>[3,2,4,-1,5]
[2,1,3,5,-4]=>[3,2,4,1,5]
[2,1,3,-5,4]=>[3,2,4,-1,-5]
[2,1,3,-5,-4]=>[3,2,4,1,-5]
[2,1,-3,5,4]=>[3,2,-4,-1,5]
[2,1,-3,5,-4]=>[3,2,-4,1,5]
[2,1,-3,-5,4]=>[3,2,-4,-1,-5]
[2,1,-3,-5,-4]=>[3,2,-4,1,-5]
[2,-1,3,5,4]=>[-3,2,4,-1,5]
[2,-1,3,5,-4]=>[-3,2,4,1,5]
[2,-1,3,-5,4]=>[-3,2,4,-1,-5]
[2,-1,3,-5,-4]=>[-3,2,4,1,-5]
[2,-1,-3,5,4]=>[-3,2,-4,-1,5]
[2,-1,-3,5,-4]=>[-3,2,-4,1,5]
[2,-1,-3,-5,4]=>[-3,2,-4,-1,-5]
[2,-1,-3,-5,-4]=>[-3,2,-4,1,-5]
[-2,1,3,5,4]=>[3,-2,4,-1,5]
[-2,1,3,5,-4]=>[3,-2,4,1,5]
[-2,1,3,-5,4]=>[3,-2,4,-1,-5]
[-2,1,3,-5,-4]=>[3,-2,4,1,-5]
[-2,1,-3,5,4]=>[3,-2,-4,-1,5]
[-2,1,-3,5,-4]=>[3,-2,-4,1,5]
[-2,1,-3,-5,4]=>[3,-2,-4,-1,-5]
[-2,1,-3,-5,-4]=>[3,-2,-4,1,-5]
[-2,-1,3,5,4]=>[-3,-2,4,-1,5]
[-2,-1,3,5,-4]=>[-3,-2,4,1,5]
[-2,-1,3,-5,4]=>[-3,-2,4,-1,-5]
[-2,-1,3,-5,-4]=>[-3,-2,4,1,-5]
[-2,-1,-3,5,4]=>[-3,-2,-4,-1,5]
[-2,-1,-3,5,-4]=>[-3,-2,-4,1,5]
[-2,-1,-3,-5,4]=>[-3,-2,-4,-1,-5]
[-2,-1,-3,-5,-4]=>[-3,-2,-4,1,-5]
[2,1,4,3,5]=>[3,2,5,4,-1]
[2,1,4,3,-5]=>[3,2,5,4,1]
[2,1,4,-3,5]=>[3,2,-5,4,-1]
[2,1,4,-3,-5]=>[3,2,-5,4,1]
[2,1,-4,3,5]=>[3,2,5,-4,-1]
[2,1,-4,3,-5]=>[3,2,5,-4,1]
[2,1,-4,-3,5]=>[3,2,-5,-4,-1]
[2,1,-4,-3,-5]=>[3,2,-5,-4,1]
[2,-1,4,3,5]=>[-3,2,5,4,-1]
[2,-1,4,3,-5]=>[-3,2,5,4,1]
[2,-1,4,-3,5]=>[-3,2,-5,4,-1]
[2,-1,4,-3,-5]=>[-3,2,-5,4,1]
[2,-1,-4,3,5]=>[-3,2,5,-4,-1]
[2,-1,-4,3,-5]=>[-3,2,5,-4,1]
[2,-1,-4,-3,5]=>[-3,2,-5,-4,-1]
[2,-1,-4,-3,-5]=>[-3,2,-5,-4,1]
[-2,1,4,3,5]=>[3,-2,5,4,-1]
[-2,1,4,3,-5]=>[3,-2,5,4,1]
[-2,1,4,-3,5]=>[3,-2,-5,4,-1]
[-2,1,4,-3,-5]=>[3,-2,-5,4,1]
[-2,1,-4,3,5]=>[3,-2,5,-4,-1]
[-2,1,-4,3,-5]=>[3,-2,5,-4,1]
[-2,1,-4,-3,5]=>[3,-2,-5,-4,-1]
[-2,1,-4,-3,-5]=>[3,-2,-5,-4,1]
[-2,-1,4,3,5]=>[-3,-2,5,4,-1]
[-2,-1,4,3,-5]=>[-3,-2,5,4,1]
[-2,-1,4,-3,5]=>[-3,-2,-5,4,-1]
[-2,-1,4,-3,-5]=>[-3,-2,-5,4,1]
[-2,-1,-4,3,5]=>[-3,-2,5,-4,-1]
[-2,-1,-4,3,-5]=>[-3,-2,5,-4,1]
[-2,-1,-4,-3,5]=>[-3,-2,-5,-4,-1]
[-2,-1,-4,-3,-5]=>[-3,-2,-5,-4,1]
[2,1,4,5,3]=>[3,2,-1,4,5]
[2,1,4,5,-3]=>[3,2,1,4,5]
[2,1,4,-5,3]=>[3,2,-1,4,-5]
[2,1,4,-5,-3]=>[3,2,1,4,-5]
[2,1,-4,5,3]=>[3,2,-1,-4,5]
[2,1,-4,5,-3]=>[3,2,1,-4,5]
[2,1,-4,-5,3]=>[3,2,-1,-4,-5]
[2,1,-4,-5,-3]=>[3,2,1,-4,-5]
[2,-1,4,5,3]=>[-3,2,-1,4,5]
[2,-1,4,5,-3]=>[-3,2,1,4,5]
[2,-1,4,-5,3]=>[-3,2,-1,4,-5]
[2,-1,4,-5,-3]=>[-3,2,1,4,-5]
[2,-1,-4,5,3]=>[-3,2,-1,-4,5]
[2,-1,-4,5,-3]=>[-3,2,1,-4,5]
[2,-1,-4,-5,3]=>[-3,2,-1,-4,-5]
[2,-1,-4,-5,-3]=>[-3,2,1,-4,-5]
[-2,1,4,5,3]=>[3,-2,-1,4,5]
[-2,1,4,5,-3]=>[3,-2,1,4,5]
[-2,1,4,-5,3]=>[3,-2,-1,4,-5]
[-2,1,4,-5,-3]=>[3,-2,1,4,-5]
[-2,1,-4,5,3]=>[3,-2,-1,-4,5]
[-2,1,-4,5,-3]=>[3,-2,1,-4,5]
[-2,1,-4,-5,3]=>[3,-2,-1,-4,-5]
[-2,1,-4,-5,-3]=>[3,-2,1,-4,-5]
[-2,-1,4,5,3]=>[-3,-2,-1,4,5]
[-2,-1,4,5,-3]=>[-3,-2,1,4,5]
[-2,-1,4,-5,3]=>[-3,-2,-1,4,-5]
[-2,-1,4,-5,-3]=>[-3,-2,1,4,-5]
[-2,-1,-4,5,3]=>[-3,-2,-1,-4,5]
[-2,-1,-4,5,-3]=>[-3,-2,1,-4,5]
[-2,-1,-4,-5,3]=>[-3,-2,-1,-4,-5]
[-2,-1,-4,-5,-3]=>[-3,-2,1,-4,-5]
[2,1,5,3,4]=>[3,2,5,-1,4]
[2,1,5,3,-4]=>[3,2,5,1,4]
[2,1,5,-3,4]=>[3,2,-5,-1,4]
[2,1,5,-3,-4]=>[3,2,-5,1,4]
[2,1,-5,3,4]=>[3,2,5,-1,-4]
[2,1,-5,3,-4]=>[3,2,5,1,-4]
[2,1,-5,-3,4]=>[3,2,-5,-1,-4]
[2,1,-5,-3,-4]=>[3,2,-5,1,-4]
[2,-1,5,3,4]=>[-3,2,5,-1,4]
[2,-1,5,3,-4]=>[-3,2,5,1,4]
[2,-1,5,-3,4]=>[-3,2,-5,-1,4]
[2,-1,5,-3,-4]=>[-3,2,-5,1,4]
[2,-1,-5,3,4]=>[-3,2,5,-1,-4]
[2,-1,-5,3,-4]=>[-3,2,5,1,-4]
[2,-1,-5,-3,4]=>[-3,2,-5,-1,-4]
[2,-1,-5,-3,-4]=>[-3,2,-5,1,-4]
[-2,1,5,3,4]=>[3,-2,5,-1,4]
[-2,1,5,3,-4]=>[3,-2,5,1,4]
[-2,1,5,-3,4]=>[3,-2,-5,-1,4]
[-2,1,5,-3,-4]=>[3,-2,-5,1,4]
[-2,1,-5,3,4]=>[3,-2,5,-1,-4]
[-2,1,-5,3,-4]=>[3,-2,5,1,-4]
[-2,1,-5,-3,4]=>[3,-2,-5,-1,-4]
[-2,1,-5,-3,-4]=>[3,-2,-5,1,-4]
[-2,-1,5,3,4]=>[-3,-2,5,-1,4]
[-2,-1,5,3,-4]=>[-3,-2,5,1,4]
[-2,-1,5,-3,4]=>[-3,-2,-5,-1,4]
[-2,-1,5,-3,-4]=>[-3,-2,-5,1,4]
[-2,-1,-5,3,4]=>[-3,-2,5,-1,-4]
[-2,-1,-5,3,-4]=>[-3,-2,5,1,-4]
[-2,-1,-5,-3,4]=>[-3,-2,-5,-1,-4]
[-2,-1,-5,-3,-4]=>[-3,-2,-5,1,-4]
[2,1,5,4,3]=>[3,2,-1,5,4]
[2,1,5,4,-3]=>[3,2,1,5,4]
[2,1,5,-4,3]=>[3,2,-1,-5,4]
[2,1,5,-4,-3]=>[3,2,1,-5,4]
[2,1,-5,4,3]=>[3,2,-1,5,-4]
[2,1,-5,4,-3]=>[3,2,1,5,-4]
[2,1,-5,-4,3]=>[3,2,-1,-5,-4]
[2,1,-5,-4,-3]=>[3,2,1,-5,-4]
[2,-1,5,4,3]=>[-3,2,-1,5,4]
[2,-1,5,4,-3]=>[-3,2,1,5,4]
[2,-1,5,-4,3]=>[-3,2,-1,-5,4]
[2,-1,5,-4,-3]=>[-3,2,1,-5,4]
[2,-1,-5,4,3]=>[-3,2,-1,5,-4]
[2,-1,-5,4,-3]=>[-3,2,1,5,-4]
[2,-1,-5,-4,3]=>[-3,2,-1,-5,-4]
[2,-1,-5,-4,-3]=>[-3,2,1,-5,-4]
[-2,1,5,4,3]=>[3,-2,-1,5,4]
[-2,1,5,4,-3]=>[3,-2,1,5,4]
[-2,1,5,-4,3]=>[3,-2,-1,-5,4]
[-2,1,5,-4,-3]=>[3,-2,1,-5,4]
[-2,1,-5,4,3]=>[3,-2,-1,5,-4]
[-2,1,-5,4,-3]=>[3,-2,1,5,-4]
[-2,1,-5,-4,3]=>[3,-2,-1,-5,-4]
[-2,1,-5,-4,-3]=>[3,-2,1,-5,-4]
[-2,-1,5,4,3]=>[-3,-2,-1,5,4]
[-2,-1,5,4,-3]=>[-3,-2,1,5,4]
[-2,-1,5,-4,3]=>[-3,-2,-1,-5,4]
[-2,-1,5,-4,-3]=>[-3,-2,1,-5,4]
[-2,-1,-5,4,3]=>[-3,-2,-1,5,-4]
[-2,-1,-5,4,-3]=>[-3,-2,1,5,-4]
[-2,-1,-5,-4,3]=>[-3,-2,-1,-5,-4]
[-2,-1,-5,-4,-3]=>[-3,-2,1,-5,-4]
[2,3,1,4,5]=>[4,2,3,5,-1]
[2,3,1,4,-5]=>[4,2,3,5,1]
[2,3,1,-4,5]=>[4,2,3,-5,-1]
[2,3,1,-4,-5]=>[4,2,3,-5,1]
[2,3,-1,4,5]=>[-4,2,3,5,-1]
[2,3,-1,4,-5]=>[-4,2,3,5,1]
[2,3,-1,-4,5]=>[-4,2,3,-5,-1]
[2,3,-1,-4,-5]=>[-4,2,3,-5,1]
[2,-3,1,4,5]=>[4,2,-3,5,-1]
[2,-3,1,4,-5]=>[4,2,-3,5,1]
[2,-3,1,-4,5]=>[4,2,-3,-5,-1]
[2,-3,1,-4,-5]=>[4,2,-3,-5,1]
[2,-3,-1,4,5]=>[-4,2,-3,5,-1]
[2,-3,-1,4,-5]=>[-4,2,-3,5,1]
[2,-3,-1,-4,5]=>[-4,2,-3,-5,-1]
[2,-3,-1,-4,-5]=>[-4,2,-3,-5,1]
[-2,3,1,4,5]=>[4,-2,3,5,-1]
[-2,3,1,4,-5]=>[4,-2,3,5,1]
[-2,3,1,-4,5]=>[4,-2,3,-5,-1]
[-2,3,1,-4,-5]=>[4,-2,3,-5,1]
[-2,3,-1,4,5]=>[-4,-2,3,5,-1]
[-2,3,-1,4,-5]=>[-4,-2,3,5,1]
[-2,3,-1,-4,5]=>[-4,-2,3,-5,-1]
[-2,3,-1,-4,-5]=>[-4,-2,3,-5,1]
[-2,-3,1,4,5]=>[4,-2,-3,5,-1]
[-2,-3,1,4,-5]=>[4,-2,-3,5,1]
[-2,-3,1,-4,5]=>[4,-2,-3,-5,-1]
[-2,-3,1,-4,-5]=>[4,-2,-3,-5,1]
[-2,-3,-1,4,5]=>[-4,-2,-3,5,-1]
[-2,-3,-1,4,-5]=>[-4,-2,-3,5,1]
[-2,-3,-1,-4,5]=>[-4,-2,-3,-5,-1]
[-2,-3,-1,-4,-5]=>[-4,-2,-3,-5,1]
[2,3,1,5,4]=>[4,2,3,-1,5]
[2,3,1,5,-4]=>[4,2,3,1,5]
[2,3,1,-5,4]=>[4,2,3,-1,-5]
[2,3,1,-5,-4]=>[4,2,3,1,-5]
[2,3,-1,5,4]=>[-4,2,3,-1,5]
[2,3,-1,5,-4]=>[-4,2,3,1,5]
[2,3,-1,-5,4]=>[-4,2,3,-1,-5]
[2,3,-1,-5,-4]=>[-4,2,3,1,-5]
[2,-3,1,5,4]=>[4,2,-3,-1,5]
[2,-3,1,5,-4]=>[4,2,-3,1,5]
[2,-3,1,-5,4]=>[4,2,-3,-1,-5]
[2,-3,1,-5,-4]=>[4,2,-3,1,-5]
[2,-3,-1,5,4]=>[-4,2,-3,-1,5]
[2,-3,-1,5,-4]=>[-4,2,-3,1,5]
[2,-3,-1,-5,4]=>[-4,2,-3,-1,-5]
[2,-3,-1,-5,-4]=>[-4,2,-3,1,-5]
[-2,3,1,5,4]=>[4,-2,3,-1,5]
[-2,3,1,5,-4]=>[4,-2,3,1,5]
[-2,3,1,-5,4]=>[4,-2,3,-1,-5]
[-2,3,1,-5,-4]=>[4,-2,3,1,-5]
[-2,3,-1,5,4]=>[-4,-2,3,-1,5]
[-2,3,-1,5,-4]=>[-4,-2,3,1,5]
[-2,3,-1,-5,4]=>[-4,-2,3,-1,-5]
[-2,3,-1,-5,-4]=>[-4,-2,3,1,-5]
[-2,-3,1,5,4]=>[4,-2,-3,-1,5]
[-2,-3,1,5,-4]=>[4,-2,-3,1,5]
[-2,-3,1,-5,4]=>[4,-2,-3,-1,-5]
[-2,-3,1,-5,-4]=>[4,-2,-3,1,-5]
[-2,-3,-1,5,4]=>[-4,-2,-3,-1,5]
[-2,-3,-1,5,-4]=>[-4,-2,-3,1,5]
[-2,-3,-1,-5,4]=>[-4,-2,-3,-1,-5]
[-2,-3,-1,-5,-4]=>[-4,-2,-3,1,-5]
[2,3,4,1,5]=>[5,2,3,4,-1]
[2,3,4,1,-5]=>[5,2,3,4,1]
[2,3,4,-1,5]=>[-5,2,3,4,-1]
[2,3,4,-1,-5]=>[-5,2,3,4,1]
[2,3,-4,1,5]=>[5,2,3,-4,-1]
[2,3,-4,1,-5]=>[5,2,3,-4,1]
[2,3,-4,-1,5]=>[-5,2,3,-4,-1]
[2,3,-4,-1,-5]=>[-5,2,3,-4,1]
[2,-3,4,1,5]=>[5,2,-3,4,-1]
[2,-3,4,1,-5]=>[5,2,-3,4,1]
[2,-3,4,-1,5]=>[-5,2,-3,4,-1]
[2,-3,4,-1,-5]=>[-5,2,-3,4,1]
[2,-3,-4,1,5]=>[5,2,-3,-4,-1]
[2,-3,-4,1,-5]=>[5,2,-3,-4,1]
[2,-3,-4,-1,5]=>[-5,2,-3,-4,-1]
[2,-3,-4,-1,-5]=>[-5,2,-3,-4,1]
[-2,3,4,1,5]=>[5,-2,3,4,-1]
[-2,3,4,1,-5]=>[5,-2,3,4,1]
[-2,3,4,-1,5]=>[-5,-2,3,4,-1]
[-2,3,4,-1,-5]=>[-5,-2,3,4,1]
[-2,3,-4,1,5]=>[5,-2,3,-4,-1]
[-2,3,-4,1,-5]=>[5,-2,3,-4,1]
[-2,3,-4,-1,5]=>[-5,-2,3,-4,-1]
[-2,3,-4,-1,-5]=>[-5,-2,3,-4,1]
[-2,-3,4,1,5]=>[5,-2,-3,4,-1]
[-2,-3,4,1,-5]=>[5,-2,-3,4,1]
[-2,-3,4,-1,5]=>[-5,-2,-3,4,-1]
[-2,-3,4,-1,-5]=>[-5,-2,-3,4,1]
[-2,-3,-4,1,5]=>[5,-2,-3,-4,-1]
[-2,-3,-4,1,-5]=>[5,-2,-3,-4,1]
[-2,-3,-4,-1,5]=>[-5,-2,-3,-4,-1]
[-2,-3,-4,-1,-5]=>[-5,-2,-3,-4,1]
[2,3,4,5,1]=>[-1,2,3,4,5]
[2,3,4,5,-1]=>[1,2,3,4,5]
[2,3,4,-5,1]=>[-1,2,3,4,-5]
[2,3,4,-5,-1]=>[1,2,3,4,-5]
[2,3,-4,5,1]=>[-1,2,3,-4,5]
[2,3,-4,5,-1]=>[1,2,3,-4,5]
[2,3,-4,-5,1]=>[-1,2,3,-4,-5]
[2,3,-4,-5,-1]=>[1,2,3,-4,-5]
[2,-3,4,5,1]=>[-1,2,-3,4,5]
[2,-3,4,5,-1]=>[1,2,-3,4,5]
[2,-3,4,-5,1]=>[-1,2,-3,4,-5]
[2,-3,4,-5,-1]=>[1,2,-3,4,-5]
[2,-3,-4,5,1]=>[-1,2,-3,-4,5]
[2,-3,-4,5,-1]=>[1,2,-3,-4,5]
[2,-3,-4,-5,1]=>[-1,2,-3,-4,-5]
[2,-3,-4,-5,-1]=>[1,2,-3,-4,-5]
[-2,3,4,5,1]=>[-1,-2,3,4,5]
[-2,3,4,5,-1]=>[1,-2,3,4,5]
[-2,3,4,-5,1]=>[-1,-2,3,4,-5]
[-2,3,4,-5,-1]=>[1,-2,3,4,-5]
[-2,3,-4,5,1]=>[-1,-2,3,-4,5]
[-2,3,-4,5,-1]=>[1,-2,3,-4,5]
[-2,3,-4,-5,1]=>[-1,-2,3,-4,-5]
[-2,3,-4,-5,-1]=>[1,-2,3,-4,-5]
[-2,-3,4,5,1]=>[-1,-2,-3,4,5]
[-2,-3,4,5,-1]=>[1,-2,-3,4,5]
[-2,-3,4,-5,1]=>[-1,-2,-3,4,-5]
[-2,-3,4,-5,-1]=>[1,-2,-3,4,-5]
[-2,-3,-4,5,1]=>[-1,-2,-3,-4,5]
[-2,-3,-4,5,-1]=>[1,-2,-3,-4,5]
[-2,-3,-4,-5,1]=>[-1,-2,-3,-4,-5]
[-2,-3,-4,-5,-1]=>[1,-2,-3,-4,-5]
[2,3,5,1,4]=>[5,2,3,-1,4]
[2,3,5,1,-4]=>[5,2,3,1,4]
[2,3,5,-1,4]=>[-5,2,3,-1,4]
[2,3,5,-1,-4]=>[-5,2,3,1,4]
[2,3,-5,1,4]=>[5,2,3,-1,-4]
[2,3,-5,1,-4]=>[5,2,3,1,-4]
[2,3,-5,-1,4]=>[-5,2,3,-1,-4]
[2,3,-5,-1,-4]=>[-5,2,3,1,-4]
[2,-3,5,1,4]=>[5,2,-3,-1,4]
[2,-3,5,1,-4]=>[5,2,-3,1,4]
[2,-3,5,-1,4]=>[-5,2,-3,-1,4]
[2,-3,5,-1,-4]=>[-5,2,-3,1,4]
[2,-3,-5,1,4]=>[5,2,-3,-1,-4]
[2,-3,-5,1,-4]=>[5,2,-3,1,-4]
[2,-3,-5,-1,4]=>[-5,2,-3,-1,-4]
[2,-3,-5,-1,-4]=>[-5,2,-3,1,-4]
[-2,3,5,1,4]=>[5,-2,3,-1,4]
[-2,3,5,1,-4]=>[5,-2,3,1,4]
[-2,3,5,-1,4]=>[-5,-2,3,-1,4]
[-2,3,5,-1,-4]=>[-5,-2,3,1,4]
[-2,3,-5,1,4]=>[5,-2,3,-1,-4]
[-2,3,-5,1,-4]=>[5,-2,3,1,-4]
[-2,3,-5,-1,4]=>[-5,-2,3,-1,-4]
[-2,3,-5,-1,-4]=>[-5,-2,3,1,-4]
[-2,-3,5,1,4]=>[5,-2,-3,-1,4]
[-2,-3,5,1,-4]=>[5,-2,-3,1,4]
[-2,-3,5,-1,4]=>[-5,-2,-3,-1,4]
[-2,-3,5,-1,-4]=>[-5,-2,-3,1,4]
[-2,-3,-5,1,4]=>[5,-2,-3,-1,-4]
[-2,-3,-5,1,-4]=>[5,-2,-3,1,-4]
[-2,-3,-5,-1,4]=>[-5,-2,-3,-1,-4]
[-2,-3,-5,-1,-4]=>[-5,-2,-3,1,-4]
[2,3,5,4,1]=>[-1,2,3,5,4]
[2,3,5,4,-1]=>[1,2,3,5,4]
[2,3,5,-4,1]=>[-1,2,3,-5,4]
[2,3,5,-4,-1]=>[1,2,3,-5,4]
[2,3,-5,4,1]=>[-1,2,3,5,-4]
[2,3,-5,4,-1]=>[1,2,3,5,-4]
[2,3,-5,-4,1]=>[-1,2,3,-5,-4]
[2,3,-5,-4,-1]=>[1,2,3,-5,-4]
[2,-3,5,4,1]=>[-1,2,-3,5,4]
[2,-3,5,4,-1]=>[1,2,-3,5,4]
[2,-3,5,-4,1]=>[-1,2,-3,-5,4]
[2,-3,5,-4,-1]=>[1,2,-3,-5,4]
[2,-3,-5,4,1]=>[-1,2,-3,5,-4]
[2,-3,-5,4,-1]=>[1,2,-3,5,-4]
[2,-3,-5,-4,1]=>[-1,2,-3,-5,-4]
[2,-3,-5,-4,-1]=>[1,2,-3,-5,-4]
[-2,3,5,4,1]=>[-1,-2,3,5,4]
[-2,3,5,4,-1]=>[1,-2,3,5,4]
[-2,3,5,-4,1]=>[-1,-2,3,-5,4]
[-2,3,5,-4,-1]=>[1,-2,3,-5,4]
[-2,3,-5,4,1]=>[-1,-2,3,5,-4]
[-2,3,-5,4,-1]=>[1,-2,3,5,-4]
[-2,3,-5,-4,1]=>[-1,-2,3,-5,-4]
[-2,3,-5,-4,-1]=>[1,-2,3,-5,-4]
[-2,-3,5,4,1]=>[-1,-2,-3,5,4]
[-2,-3,5,4,-1]=>[1,-2,-3,5,4]
[-2,-3,5,-4,1]=>[-1,-2,-3,-5,4]
[-2,-3,5,-4,-1]=>[1,-2,-3,-5,4]
[-2,-3,-5,4,1]=>[-1,-2,-3,5,-4]
[-2,-3,-5,4,-1]=>[1,-2,-3,5,-4]
[-2,-3,-5,-4,1]=>[-1,-2,-3,-5,-4]
[-2,-3,-5,-4,-1]=>[1,-2,-3,-5,-4]
[2,4,1,3,5]=>[4,2,5,3,-1]
[2,4,1,3,-5]=>[4,2,5,3,1]
[2,4,1,-3,5]=>[4,2,-5,3,-1]
[2,4,1,-3,-5]=>[4,2,-5,3,1]
[2,4,-1,3,5]=>[-4,2,5,3,-1]
[2,4,-1,3,-5]=>[-4,2,5,3,1]
[2,4,-1,-3,5]=>[-4,2,-5,3,-1]
[2,4,-1,-3,-5]=>[-4,2,-5,3,1]
[2,-4,1,3,5]=>[4,2,5,-3,-1]
[2,-4,1,3,-5]=>[4,2,5,-3,1]
[2,-4,1,-3,5]=>[4,2,-5,-3,-1]
[2,-4,1,-3,-5]=>[4,2,-5,-3,1]
[2,-4,-1,3,5]=>[-4,2,5,-3,-1]
[2,-4,-1,3,-5]=>[-4,2,5,-3,1]
[2,-4,-1,-3,5]=>[-4,2,-5,-3,-1]
[2,-4,-1,-3,-5]=>[-4,2,-5,-3,1]
[-2,4,1,3,5]=>[4,-2,5,3,-1]
[-2,4,1,3,-5]=>[4,-2,5,3,1]
[-2,4,1,-3,5]=>[4,-2,-5,3,-1]
[-2,4,1,-3,-5]=>[4,-2,-5,3,1]
[-2,4,-1,3,5]=>[-4,-2,5,3,-1]
[-2,4,-1,3,-5]=>[-4,-2,5,3,1]
[-2,4,-1,-3,5]=>[-4,-2,-5,3,-1]
[-2,4,-1,-3,-5]=>[-4,-2,-5,3,1]
[-2,-4,1,3,5]=>[4,-2,5,-3,-1]
[-2,-4,1,3,-5]=>[4,-2,5,-3,1]
[-2,-4,1,-3,5]=>[4,-2,-5,-3,-1]
[-2,-4,1,-3,-5]=>[4,-2,-5,-3,1]
[-2,-4,-1,3,5]=>[-4,-2,5,-3,-1]
[-2,-4,-1,3,-5]=>[-4,-2,5,-3,1]
[-2,-4,-1,-3,5]=>[-4,-2,-5,-3,-1]
[-2,-4,-1,-3,-5]=>[-4,-2,-5,-3,1]
[2,4,1,5,3]=>[4,2,-1,3,5]
[2,4,1,5,-3]=>[4,2,1,3,5]
[2,4,1,-5,3]=>[4,2,-1,3,-5]
[2,4,1,-5,-3]=>[4,2,1,3,-5]
[2,4,-1,5,3]=>[-4,2,-1,3,5]
[2,4,-1,5,-3]=>[-4,2,1,3,5]
[2,4,-1,-5,3]=>[-4,2,-1,3,-5]
[2,4,-1,-5,-3]=>[-4,2,1,3,-5]
[2,-4,1,5,3]=>[4,2,-1,-3,5]
[2,-4,1,5,-3]=>[4,2,1,-3,5]
[2,-4,1,-5,3]=>[4,2,-1,-3,-5]
[2,-4,1,-5,-3]=>[4,2,1,-3,-5]
[2,-4,-1,5,3]=>[-4,2,-1,-3,5]
[2,-4,-1,5,-3]=>[-4,2,1,-3,5]
[2,-4,-1,-5,3]=>[-4,2,-1,-3,-5]
[2,-4,-1,-5,-3]=>[-4,2,1,-3,-5]
[-2,4,1,5,3]=>[4,-2,-1,3,5]
[-2,4,1,5,-3]=>[4,-2,1,3,5]
[-2,4,1,-5,3]=>[4,-2,-1,3,-5]
[-2,4,1,-5,-3]=>[4,-2,1,3,-5]
[-2,4,-1,5,3]=>[-4,-2,-1,3,5]
[-2,4,-1,5,-3]=>[-4,-2,1,3,5]
[-2,4,-1,-5,3]=>[-4,-2,-1,3,-5]
[-2,4,-1,-5,-3]=>[-4,-2,1,3,-5]
[-2,-4,1,5,3]=>[4,-2,-1,-3,5]
[-2,-4,1,5,-3]=>[4,-2,1,-3,5]
[-2,-4,1,-5,3]=>[4,-2,-1,-3,-5]
[-2,-4,1,-5,-3]=>[4,-2,1,-3,-5]
[-2,-4,-1,5,3]=>[-4,-2,-1,-3,5]
[-2,-4,-1,5,-3]=>[-4,-2,1,-3,5]
[-2,-4,-1,-5,3]=>[-4,-2,-1,-3,-5]
[-2,-4,-1,-5,-3]=>[-4,-2,1,-3,-5]
[2,4,3,1,5]=>[5,2,4,3,-1]
[2,4,3,1,-5]=>[5,2,4,3,1]
[2,4,3,-1,5]=>[-5,2,4,3,-1]
[2,4,3,-1,-5]=>[-5,2,4,3,1]
[2,4,-3,1,5]=>[5,2,-4,3,-1]
[2,4,-3,1,-5]=>[5,2,-4,3,1]
[2,4,-3,-1,5]=>[-5,2,-4,3,-1]
[2,4,-3,-1,-5]=>[-5,2,-4,3,1]
[2,-4,3,1,5]=>[5,2,4,-3,-1]
[2,-4,3,1,-5]=>[5,2,4,-3,1]
[2,-4,3,-1,5]=>[-5,2,4,-3,-1]
[2,-4,3,-1,-5]=>[-5,2,4,-3,1]
[2,-4,-3,1,5]=>[5,2,-4,-3,-1]
[2,-4,-3,1,-5]=>[5,2,-4,-3,1]
[2,-4,-3,-1,5]=>[-5,2,-4,-3,-1]
[2,-4,-3,-1,-5]=>[-5,2,-4,-3,1]
[-2,4,3,1,5]=>[5,-2,4,3,-1]
[-2,4,3,1,-5]=>[5,-2,4,3,1]
[-2,4,3,-1,5]=>[-5,-2,4,3,-1]
[-2,4,3,-1,-5]=>[-5,-2,4,3,1]
[-2,4,-3,1,5]=>[5,-2,-4,3,-1]
[-2,4,-3,1,-5]=>[5,-2,-4,3,1]
[-2,4,-3,-1,5]=>[-5,-2,-4,3,-1]
[-2,4,-3,-1,-5]=>[-5,-2,-4,3,1]
[-2,-4,3,1,5]=>[5,-2,4,-3,-1]
[-2,-4,3,1,-5]=>[5,-2,4,-3,1]
[-2,-4,3,-1,5]=>[-5,-2,4,-3,-1]
[-2,-4,3,-1,-5]=>[-5,-2,4,-3,1]
[-2,-4,-3,1,5]=>[5,-2,-4,-3,-1]
[-2,-4,-3,1,-5]=>[5,-2,-4,-3,1]
[-2,-4,-3,-1,5]=>[-5,-2,-4,-3,-1]
[-2,-4,-3,-1,-5]=>[-5,-2,-4,-3,1]
[2,4,3,5,1]=>[-1,2,4,3,5]
[2,4,3,5,-1]=>[1,2,4,3,5]
[2,4,3,-5,1]=>[-1,2,4,3,-5]
[2,4,3,-5,-1]=>[1,2,4,3,-5]
[2,4,-3,5,1]=>[-1,2,-4,3,5]
[2,4,-3,5,-1]=>[1,2,-4,3,5]
[2,4,-3,-5,1]=>[-1,2,-4,3,-5]
[2,4,-3,-5,-1]=>[1,2,-4,3,-5]
[2,-4,3,5,1]=>[-1,2,4,-3,5]
[2,-4,3,5,-1]=>[1,2,4,-3,5]
[2,-4,3,-5,1]=>[-1,2,4,-3,-5]
[2,-4,3,-5,-1]=>[1,2,4,-3,-5]
[2,-4,-3,5,1]=>[-1,2,-4,-3,5]
[2,-4,-3,5,-1]=>[1,2,-4,-3,5]
[2,-4,-3,-5,1]=>[-1,2,-4,-3,-5]
[2,-4,-3,-5,-1]=>[1,2,-4,-3,-5]
[-2,4,3,5,1]=>[-1,-2,4,3,5]
[-2,4,3,5,-1]=>[1,-2,4,3,5]
[-2,4,3,-5,1]=>[-1,-2,4,3,-5]
[-2,4,3,-5,-1]=>[1,-2,4,3,-5]
[-2,4,-3,5,1]=>[-1,-2,-4,3,5]
[-2,4,-3,5,-1]=>[1,-2,-4,3,5]
[-2,4,-3,-5,1]=>[-1,-2,-4,3,-5]
[-2,4,-3,-5,-1]=>[1,-2,-4,3,-5]
[-2,-4,3,5,1]=>[-1,-2,4,-3,5]
[-2,-4,3,5,-1]=>[1,-2,4,-3,5]
[-2,-4,3,-5,1]=>[-1,-2,4,-3,-5]
[-2,-4,3,-5,-1]=>[1,-2,4,-3,-5]
[-2,-4,-3,5,1]=>[-1,-2,-4,-3,5]
[-2,-4,-3,5,-1]=>[1,-2,-4,-3,5]
[-2,-4,-3,-5,1]=>[-1,-2,-4,-3,-5]
[-2,-4,-3,-5,-1]=>[1,-2,-4,-3,-5]
[2,4,5,1,3]=>[5,2,-1,3,4]
[2,4,5,1,-3]=>[5,2,1,3,4]
[2,4,5,-1,3]=>[-5,2,-1,3,4]
[2,4,5,-1,-3]=>[-5,2,1,3,4]
[2,4,-5,1,3]=>[5,2,-1,3,-4]
[2,4,-5,1,-3]=>[5,2,1,3,-4]
[2,4,-5,-1,3]=>[-5,2,-1,3,-4]
[2,4,-5,-1,-3]=>[-5,2,1,3,-4]
[2,-4,5,1,3]=>[5,2,-1,-3,4]
[2,-4,5,1,-3]=>[5,2,1,-3,4]
[2,-4,5,-1,3]=>[-5,2,-1,-3,4]
[2,-4,5,-1,-3]=>[-5,2,1,-3,4]
[2,-4,-5,1,3]=>[5,2,-1,-3,-4]
[2,-4,-5,1,-3]=>[5,2,1,-3,-4]
[2,-4,-5,-1,3]=>[-5,2,-1,-3,-4]
[2,-4,-5,-1,-3]=>[-5,2,1,-3,-4]
[-2,4,5,1,3]=>[5,-2,-1,3,4]
[-2,4,5,1,-3]=>[5,-2,1,3,4]
[-2,4,5,-1,3]=>[-5,-2,-1,3,4]
[-2,4,5,-1,-3]=>[-5,-2,1,3,4]
[-2,4,-5,1,3]=>[5,-2,-1,3,-4]
[-2,4,-5,1,-3]=>[5,-2,1,3,-4]
[-2,4,-5,-1,3]=>[-5,-2,-1,3,-4]
[-2,4,-5,-1,-3]=>[-5,-2,1,3,-4]
[-2,-4,5,1,3]=>[5,-2,-1,-3,4]
[-2,-4,5,1,-3]=>[5,-2,1,-3,4]
[-2,-4,5,-1,3]=>[-5,-2,-1,-3,4]
[-2,-4,5,-1,-3]=>[-5,-2,1,-3,4]
[-2,-4,-5,1,3]=>[5,-2,-1,-3,-4]
[-2,-4,-5,1,-3]=>[5,-2,1,-3,-4]
[-2,-4,-5,-1,3]=>[-5,-2,-1,-3,-4]
[-2,-4,-5,-1,-3]=>[-5,-2,1,-3,-4]
[2,4,5,3,1]=>[-1,2,5,3,4]
[2,4,5,3,-1]=>[1,2,5,3,4]
[2,4,5,-3,1]=>[-1,2,-5,3,4]
[2,4,5,-3,-1]=>[1,2,-5,3,4]
[2,4,-5,3,1]=>[-1,2,5,3,-4]
[2,4,-5,3,-1]=>[1,2,5,3,-4]
[2,4,-5,-3,1]=>[-1,2,-5,3,-4]
[2,4,-5,-3,-1]=>[1,2,-5,3,-4]
[2,-4,5,3,1]=>[-1,2,5,-3,4]
[2,-4,5,3,-1]=>[1,2,5,-3,4]
[2,-4,5,-3,1]=>[-1,2,-5,-3,4]
[2,-4,5,-3,-1]=>[1,2,-5,-3,4]
[2,-4,-5,3,1]=>[-1,2,5,-3,-4]
[2,-4,-5,3,-1]=>[1,2,5,-3,-4]
[2,-4,-5,-3,1]=>[-1,2,-5,-3,-4]
[2,-4,-5,-3,-1]=>[1,2,-5,-3,-4]
[-2,4,5,3,1]=>[-1,-2,5,3,4]
[-2,4,5,3,-1]=>[1,-2,5,3,4]
[-2,4,5,-3,1]=>[-1,-2,-5,3,4]
[-2,4,5,-3,-1]=>[1,-2,-5,3,4]
[-2,4,-5,3,1]=>[-1,-2,5,3,-4]
[-2,4,-5,3,-1]=>[1,-2,5,3,-4]
[-2,4,-5,-3,1]=>[-1,-2,-5,3,-4]
[-2,4,-5,-3,-1]=>[1,-2,-5,3,-4]
[-2,-4,5,3,1]=>[-1,-2,5,-3,4]
[-2,-4,5,3,-1]=>[1,-2,5,-3,4]
[-2,-4,5,-3,1]=>[-1,-2,-5,-3,4]
[-2,-4,5,-3,-1]=>[1,-2,-5,-3,4]
[-2,-4,-5,3,1]=>[-1,-2,5,-3,-4]
[-2,-4,-5,3,-1]=>[1,-2,5,-3,-4]
[-2,-4,-5,-3,1]=>[-1,-2,-5,-3,-4]
[-2,-4,-5,-3,-1]=>[1,-2,-5,-3,-4]
[2,5,1,3,4]=>[4,2,5,-1,3]
[2,5,1,3,-4]=>[4,2,5,1,3]
[2,5,1,-3,4]=>[4,2,-5,-1,3]
[2,5,1,-3,-4]=>[4,2,-5,1,3]
[2,5,-1,3,4]=>[-4,2,5,-1,3]
[2,5,-1,3,-4]=>[-4,2,5,1,3]
[2,5,-1,-3,4]=>[-4,2,-5,-1,3]
[2,5,-1,-3,-4]=>[-4,2,-5,1,3]
[2,-5,1,3,4]=>[4,2,5,-1,-3]
[2,-5,1,3,-4]=>[4,2,5,1,-3]
[2,-5,1,-3,4]=>[4,2,-5,-1,-3]
[2,-5,1,-3,-4]=>[4,2,-5,1,-3]
[2,-5,-1,3,4]=>[-4,2,5,-1,-3]
[2,-5,-1,3,-4]=>[-4,2,5,1,-3]
[2,-5,-1,-3,4]=>[-4,2,-5,-1,-3]
[2,-5,-1,-3,-4]=>[-4,2,-5,1,-3]
[-2,5,1,3,4]=>[4,-2,5,-1,3]
[-2,5,1,3,-4]=>[4,-2,5,1,3]
[-2,5,1,-3,4]=>[4,-2,-5,-1,3]
[-2,5,1,-3,-4]=>[4,-2,-5,1,3]
[-2,5,-1,3,4]=>[-4,-2,5,-1,3]
[-2,5,-1,3,-4]=>[-4,-2,5,1,3]
[-2,5,-1,-3,4]=>[-4,-2,-5,-1,3]
[-2,5,-1,-3,-4]=>[-4,-2,-5,1,3]
[-2,-5,1,3,4]=>[4,-2,5,-1,-3]
[-2,-5,1,3,-4]=>[4,-2,5,1,-3]
[-2,-5,1,-3,4]=>[4,-2,-5,-1,-3]
[-2,-5,1,-3,-4]=>[4,-2,-5,1,-3]
[-2,-5,-1,3,4]=>[-4,-2,5,-1,-3]
[-2,-5,-1,3,-4]=>[-4,-2,5,1,-3]
[-2,-5,-1,-3,4]=>[-4,-2,-5,-1,-3]
[-2,-5,-1,-3,-4]=>[-4,-2,-5,1,-3]
[2,5,1,4,3]=>[4,2,-1,5,3]
[2,5,1,4,-3]=>[4,2,1,5,3]
[2,5,1,-4,3]=>[4,2,-1,-5,3]
[2,5,1,-4,-3]=>[4,2,1,-5,3]
[2,5,-1,4,3]=>[-4,2,-1,5,3]
[2,5,-1,4,-3]=>[-4,2,1,5,3]
[2,5,-1,-4,3]=>[-4,2,-1,-5,3]
[2,5,-1,-4,-3]=>[-4,2,1,-5,3]
[2,-5,1,4,3]=>[4,2,-1,5,-3]
[2,-5,1,4,-3]=>[4,2,1,5,-3]
[2,-5,1,-4,3]=>[4,2,-1,-5,-3]
[2,-5,1,-4,-3]=>[4,2,1,-5,-3]
[2,-5,-1,4,3]=>[-4,2,-1,5,-3]
[2,-5,-1,4,-3]=>[-4,2,1,5,-3]
[2,-5,-1,-4,3]=>[-4,2,-1,-5,-3]
[2,-5,-1,-4,-3]=>[-4,2,1,-5,-3]
[-2,5,1,4,3]=>[4,-2,-1,5,3]
[-2,5,1,4,-3]=>[4,-2,1,5,3]
[-2,5,1,-4,3]=>[4,-2,-1,-5,3]
[-2,5,1,-4,-3]=>[4,-2,1,-5,3]
[-2,5,-1,4,3]=>[-4,-2,-1,5,3]
[-2,5,-1,4,-3]=>[-4,-2,1,5,3]
[-2,5,-1,-4,3]=>[-4,-2,-1,-5,3]
[-2,5,-1,-4,-3]=>[-4,-2,1,-5,3]
[-2,-5,1,4,3]=>[4,-2,-1,5,-3]
[-2,-5,1,4,-3]=>[4,-2,1,5,-3]
[-2,-5,1,-4,3]=>[4,-2,-1,-5,-3]
[-2,-5,1,-4,-3]=>[4,-2,1,-5,-3]
[-2,-5,-1,4,3]=>[-4,-2,-1,5,-3]
[-2,-5,-1,4,-3]=>[-4,-2,1,5,-3]
[-2,-5,-1,-4,3]=>[-4,-2,-1,-5,-3]
[-2,-5,-1,-4,-3]=>[-4,-2,1,-5,-3]
[2,5,3,1,4]=>[5,2,4,-1,3]
[2,5,3,1,-4]=>[5,2,4,1,3]
[2,5,3,-1,4]=>[-5,2,4,-1,3]
[2,5,3,-1,-4]=>[-5,2,4,1,3]
[2,5,-3,1,4]=>[5,2,-4,-1,3]
[2,5,-3,1,-4]=>[5,2,-4,1,3]
[2,5,-3,-1,4]=>[-5,2,-4,-1,3]
[2,5,-3,-1,-4]=>[-5,2,-4,1,3]
[2,-5,3,1,4]=>[5,2,4,-1,-3]
[2,-5,3,1,-4]=>[5,2,4,1,-3]
[2,-5,3,-1,4]=>[-5,2,4,-1,-3]
[2,-5,3,-1,-4]=>[-5,2,4,1,-3]
[2,-5,-3,1,4]=>[5,2,-4,-1,-3]
[2,-5,-3,1,-4]=>[5,2,-4,1,-3]
[2,-5,-3,-1,4]=>[-5,2,-4,-1,-3]
[2,-5,-3,-1,-4]=>[-5,2,-4,1,-3]
[-2,5,3,1,4]=>[5,-2,4,-1,3]
[-2,5,3,1,-4]=>[5,-2,4,1,3]
[-2,5,3,-1,4]=>[-5,-2,4,-1,3]
[-2,5,3,-1,-4]=>[-5,-2,4,1,3]
[-2,5,-3,1,4]=>[5,-2,-4,-1,3]
[-2,5,-3,1,-4]=>[5,-2,-4,1,3]
[-2,5,-3,-1,4]=>[-5,-2,-4,-1,3]
[-2,5,-3,-1,-4]=>[-5,-2,-4,1,3]
[-2,-5,3,1,4]=>[5,-2,4,-1,-3]
[-2,-5,3,1,-4]=>[5,-2,4,1,-3]
[-2,-5,3,-1,4]=>[-5,-2,4,-1,-3]
[-2,-5,3,-1,-4]=>[-5,-2,4,1,-3]
[-2,-5,-3,1,4]=>[5,-2,-4,-1,-3]
[-2,-5,-3,1,-4]=>[5,-2,-4,1,-3]
[-2,-5,-3,-1,4]=>[-5,-2,-4,-1,-3]
[-2,-5,-3,-1,-4]=>[-5,-2,-4,1,-3]
[2,5,3,4,1]=>[-1,2,4,5,3]
[2,5,3,4,-1]=>[1,2,4,5,3]
[2,5,3,-4,1]=>[-1,2,4,-5,3]
[2,5,3,-4,-1]=>[1,2,4,-5,3]
[2,5,-3,4,1]=>[-1,2,-4,5,3]
[2,5,-3,4,-1]=>[1,2,-4,5,3]
[2,5,-3,-4,1]=>[-1,2,-4,-5,3]
[2,5,-3,-4,-1]=>[1,2,-4,-5,3]
[2,-5,3,4,1]=>[-1,2,4,5,-3]
[2,-5,3,4,-1]=>[1,2,4,5,-3]
[2,-5,3,-4,1]=>[-1,2,4,-5,-3]
[2,-5,3,-4,-1]=>[1,2,4,-5,-3]
[2,-5,-3,4,1]=>[-1,2,-4,5,-3]
[2,-5,-3,4,-1]=>[1,2,-4,5,-3]
[2,-5,-3,-4,1]=>[-1,2,-4,-5,-3]
[2,-5,-3,-4,-1]=>[1,2,-4,-5,-3]
[-2,5,3,4,1]=>[-1,-2,4,5,3]
[-2,5,3,4,-1]=>[1,-2,4,5,3]
[-2,5,3,-4,1]=>[-1,-2,4,-5,3]
[-2,5,3,-4,-1]=>[1,-2,4,-5,3]
[-2,5,-3,4,1]=>[-1,-2,-4,5,3]
[-2,5,-3,4,-1]=>[1,-2,-4,5,3]
[-2,5,-3,-4,1]=>[-1,-2,-4,-5,3]
[-2,5,-3,-4,-1]=>[1,-2,-4,-5,3]
[-2,-5,3,4,1]=>[-1,-2,4,5,-3]
[-2,-5,3,4,-1]=>[1,-2,4,5,-3]
[-2,-5,3,-4,1]=>[-1,-2,4,-5,-3]
[-2,-5,3,-4,-1]=>[1,-2,4,-5,-3]
[-2,-5,-3,4,1]=>[-1,-2,-4,5,-3]
[-2,-5,-3,4,-1]=>[1,-2,-4,5,-3]
[-2,-5,-3,-4,1]=>[-1,-2,-4,-5,-3]
[-2,-5,-3,-4,-1]=>[1,-2,-4,-5,-3]
[2,5,4,1,3]=>[5,2,-1,4,3]
[2,5,4,1,-3]=>[5,2,1,4,3]
[2,5,4,-1,3]=>[-5,2,-1,4,3]
[2,5,4,-1,-3]=>[-5,2,1,4,3]
[2,5,-4,1,3]=>[5,2,-1,-4,3]
[2,5,-4,1,-3]=>[5,2,1,-4,3]
[2,5,-4,-1,3]=>[-5,2,-1,-4,3]
[2,5,-4,-1,-3]=>[-5,2,1,-4,3]
[2,-5,4,1,3]=>[5,2,-1,4,-3]
[2,-5,4,1,-3]=>[5,2,1,4,-3]
[2,-5,4,-1,3]=>[-5,2,-1,4,-3]
[2,-5,4,-1,-3]=>[-5,2,1,4,-3]
[2,-5,-4,1,3]=>[5,2,-1,-4,-3]
[2,-5,-4,1,-3]=>[5,2,1,-4,-3]
[2,-5,-4,-1,3]=>[-5,2,-1,-4,-3]
[2,-5,-4,-1,-3]=>[-5,2,1,-4,-3]
[-2,5,4,1,3]=>[5,-2,-1,4,3]
[-2,5,4,1,-3]=>[5,-2,1,4,3]
[-2,5,4,-1,3]=>[-5,-2,-1,4,3]
[-2,5,4,-1,-3]=>[-5,-2,1,4,3]
[-2,5,-4,1,3]=>[5,-2,-1,-4,3]
[-2,5,-4,1,-3]=>[5,-2,1,-4,3]
[-2,5,-4,-1,3]=>[-5,-2,-1,-4,3]
[-2,5,-4,-1,-3]=>[-5,-2,1,-4,3]
[-2,-5,4,1,3]=>[5,-2,-1,4,-3]
[-2,-5,4,1,-3]=>[5,-2,1,4,-3]
[-2,-5,4,-1,3]=>[-5,-2,-1,4,-3]
[-2,-5,4,-1,-3]=>[-5,-2,1,4,-3]
[-2,-5,-4,1,3]=>[5,-2,-1,-4,-3]
[-2,-5,-4,1,-3]=>[5,-2,1,-4,-3]
[-2,-5,-4,-1,3]=>[-5,-2,-1,-4,-3]
[-2,-5,-4,-1,-3]=>[-5,-2,1,-4,-3]
[2,5,4,3,1]=>[-1,2,5,4,3]
[2,5,4,3,-1]=>[1,2,5,4,3]
[2,5,4,-3,1]=>[-1,2,-5,4,3]
[2,5,4,-3,-1]=>[1,2,-5,4,3]
[2,5,-4,3,1]=>[-1,2,5,-4,3]
[2,5,-4,3,-1]=>[1,2,5,-4,3]
[2,5,-4,-3,1]=>[-1,2,-5,-4,3]
[2,5,-4,-3,-1]=>[1,2,-5,-4,3]
[2,-5,4,3,1]=>[-1,2,5,4,-3]
[2,-5,4,3,-1]=>[1,2,5,4,-3]
[2,-5,4,-3,1]=>[-1,2,-5,4,-3]
[2,-5,4,-3,-1]=>[1,2,-5,4,-3]
[2,-5,-4,3,1]=>[-1,2,5,-4,-3]
[2,-5,-4,3,-1]=>[1,2,5,-4,-3]
[2,-5,-4,-3,1]=>[-1,2,-5,-4,-3]
[2,-5,-4,-3,-1]=>[1,2,-5,-4,-3]
[-2,5,4,3,1]=>[-1,-2,5,4,3]
[-2,5,4,3,-1]=>[1,-2,5,4,3]
[-2,5,4,-3,1]=>[-1,-2,-5,4,3]
[-2,5,4,-3,-1]=>[1,-2,-5,4,3]
[-2,5,-4,3,1]=>[-1,-2,5,-4,3]
[-2,5,-4,3,-1]=>[1,-2,5,-4,3]
[-2,5,-4,-3,1]=>[-1,-2,-5,-4,3]
[-2,5,-4,-3,-1]=>[1,-2,-5,-4,3]
[-2,-5,4,3,1]=>[-1,-2,5,4,-3]
[-2,-5,4,3,-1]=>[1,-2,5,4,-3]
[-2,-5,4,-3,1]=>[-1,-2,-5,4,-3]
[-2,-5,4,-3,-1]=>[1,-2,-5,4,-3]
[-2,-5,-4,3,1]=>[-1,-2,5,-4,-3]
[-2,-5,-4,3,-1]=>[1,-2,5,-4,-3]
[-2,-5,-4,-3,1]=>[-1,-2,-5,-4,-3]
[-2,-5,-4,-3,-1]=>[1,-2,-5,-4,-3]
[3,1,2,4,5]=>[3,4,2,5,-1]
[3,1,2,4,-5]=>[3,4,2,5,1]
[3,1,2,-4,5]=>[3,4,2,-5,-1]
[3,1,2,-4,-5]=>[3,4,2,-5,1]
[3,1,-2,4,5]=>[3,-4,2,5,-1]
[3,1,-2,4,-5]=>[3,-4,2,5,1]
[3,1,-2,-4,5]=>[3,-4,2,-5,-1]
[3,1,-2,-4,-5]=>[3,-4,2,-5,1]
[3,-1,2,4,5]=>[-3,4,2,5,-1]
[3,-1,2,4,-5]=>[-3,4,2,5,1]
[3,-1,2,-4,5]=>[-3,4,2,-5,-1]
[3,-1,2,-4,-5]=>[-3,4,2,-5,1]
[3,-1,-2,4,5]=>[-3,-4,2,5,-1]
[3,-1,-2,4,-5]=>[-3,-4,2,5,1]
[3,-1,-2,-4,5]=>[-3,-4,2,-5,-1]
[3,-1,-2,-4,-5]=>[-3,-4,2,-5,1]
[-3,1,2,4,5]=>[3,4,-2,5,-1]
[-3,1,2,4,-5]=>[3,4,-2,5,1]
[-3,1,2,-4,5]=>[3,4,-2,-5,-1]
[-3,1,2,-4,-5]=>[3,4,-2,-5,1]
[-3,1,-2,4,5]=>[3,-4,-2,5,-1]
[-3,1,-2,4,-5]=>[3,-4,-2,5,1]
[-3,1,-2,-4,5]=>[3,-4,-2,-5,-1]
[-3,1,-2,-4,-5]=>[3,-4,-2,-5,1]
[-3,-1,2,4,5]=>[-3,4,-2,5,-1]
[-3,-1,2,4,-5]=>[-3,4,-2,5,1]
[-3,-1,2,-4,5]=>[-3,4,-2,-5,-1]
[-3,-1,2,-4,-5]=>[-3,4,-2,-5,1]
[-3,-1,-2,4,5]=>[-3,-4,-2,5,-1]
[-3,-1,-2,4,-5]=>[-3,-4,-2,5,1]
[-3,-1,-2,-4,5]=>[-3,-4,-2,-5,-1]
[-3,-1,-2,-4,-5]=>[-3,-4,-2,-5,1]
[3,1,2,5,4]=>[3,4,2,-1,5]
[3,1,2,5,-4]=>[3,4,2,1,5]
[3,1,2,-5,4]=>[3,4,2,-1,-5]
[3,1,2,-5,-4]=>[3,4,2,1,-5]
[3,1,-2,5,4]=>[3,-4,2,-1,5]
[3,1,-2,5,-4]=>[3,-4,2,1,5]
[3,1,-2,-5,4]=>[3,-4,2,-1,-5]
[3,1,-2,-5,-4]=>[3,-4,2,1,-5]
[3,-1,2,5,4]=>[-3,4,2,-1,5]
[3,-1,2,5,-4]=>[-3,4,2,1,5]
[3,-1,2,-5,4]=>[-3,4,2,-1,-5]
[3,-1,2,-5,-4]=>[-3,4,2,1,-5]
[3,-1,-2,5,4]=>[-3,-4,2,-1,5]
[3,-1,-2,5,-4]=>[-3,-4,2,1,5]
[3,-1,-2,-5,4]=>[-3,-4,2,-1,-5]
[3,-1,-2,-5,-4]=>[-3,-4,2,1,-5]
[-3,1,2,5,4]=>[3,4,-2,-1,5]
[-3,1,2,5,-4]=>[3,4,-2,1,5]
[-3,1,2,-5,4]=>[3,4,-2,-1,-5]
[-3,1,2,-5,-4]=>[3,4,-2,1,-5]
[-3,1,-2,5,4]=>[3,-4,-2,-1,5]
[-3,1,-2,5,-4]=>[3,-4,-2,1,5]
[-3,1,-2,-5,4]=>[3,-4,-2,-1,-5]
[-3,1,-2,-5,-4]=>[3,-4,-2,1,-5]
[-3,-1,2,5,4]=>[-3,4,-2,-1,5]
[-3,-1,2,5,-4]=>[-3,4,-2,1,5]
[-3,-1,2,-5,4]=>[-3,4,-2,-1,-5]
[-3,-1,2,-5,-4]=>[-3,4,-2,1,-5]
[-3,-1,-2,5,4]=>[-3,-4,-2,-1,5]
[-3,-1,-2,5,-4]=>[-3,-4,-2,1,5]
[-3,-1,-2,-5,4]=>[-3,-4,-2,-1,-5]
[-3,-1,-2,-5,-4]=>[-3,-4,-2,1,-5]
[3,1,4,2,5]=>[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]
[3,1,4,-2,-5]=>[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]
[3,1,-4,-2,5]=>[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]
[3,-1,4,2,-5]=>[-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]
[3,-1,-4,2,5]=>[-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]
[3,-1,-4,-2,-5]=>[-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]
[-3,1,4,-2,5]=>[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]
[-3,1,-4,2,-5]=>[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]
[-3,-1,4,2,5]=>[-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]
[-3,-1,4,-2,-5]=>[-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]
[-3,-1,-4,-2,5]=>[-3,-5,-2,-4,-1]
[-3,-1,-4,-2,-5]=>[-3,-5,-2,-4,1]
[3,1,4,5,2]=>[3,-1,2,4,5]
[3,1,4,5,-2]=>[3,1,2,4,5]
[3,1,4,-5,2]=>[3,-1,2,4,-5]
[3,1,4,-5,-2]=>[3,1,2,4,-5]
[3,1,-4,5,2]=>[3,-1,2,-4,5]
[3,1,-4,5,-2]=>[3,1,2,-4,5]
[3,1,-4,-5,2]=>[3,-1,2,-4,-5]
[3,1,-4,-5,-2]=>[3,1,2,-4,-5]
[3,-1,4,5,2]=>[-3,-1,2,4,5]
[3,-1,4,5,-2]=>[-3,1,2,4,5]
[3,-1,4,-5,2]=>[-3,-1,2,4,-5]
[3,-1,4,-5,-2]=>[-3,1,2,4,-5]
[3,-1,-4,5,2]=>[-3,-1,2,-4,5]
[3,-1,-4,5,-2]=>[-3,1,2,-4,5]
[3,-1,-4,-5,2]=>[-3,-1,2,-4,-5]
[3,-1,-4,-5,-2]=>[-3,1,2,-4,-5]
[-3,1,4,5,2]=>[3,-1,-2,4,5]
[-3,1,4,5,-2]=>[3,1,-2,4,5]
[-3,1,4,-5,2]=>[3,-1,-2,4,-5]
[-3,1,4,-5,-2]=>[3,1,-2,4,-5]
[-3,1,-4,5,2]=>[3,-1,-2,-4,5]
[-3,1,-4,5,-2]=>[3,1,-2,-4,5]
[-3,1,-4,-5,2]=>[3,-1,-2,-4,-5]
[-3,1,-4,-5,-2]=>[3,1,-2,-4,-5]
[-3,-1,4,5,2]=>[-3,-1,-2,4,5]
[-3,-1,4,5,-2]=>[-3,1,-2,4,5]
[-3,-1,4,-5,2]=>[-3,-1,-2,4,-5]
[-3,-1,4,-5,-2]=>[-3,1,-2,4,-5]
[-3,-1,-4,5,2]=>[-3,-1,-2,-4,5]
[-3,-1,-4,5,-2]=>[-3,1,-2,-4,5]
[-3,-1,-4,-5,2]=>[-3,-1,-2,-4,-5]
[-3,-1,-4,-5,-2]=>[-3,1,-2,-4,-5]
[3,1,5,2,4]=>[3,5,2,-1,4]
[3,1,5,2,-4]=>[3,5,2,1,4]
[3,1,5,-2,4]=>[3,-5,2,-1,4]
[3,1,5,-2,-4]=>[3,-5,2,1,4]
[3,1,-5,2,4]=>[3,5,2,-1,-4]
[3,1,-5,2,-4]=>[3,5,2,1,-4]
[3,1,-5,-2,4]=>[3,-5,2,-1,-4]
[3,1,-5,-2,-4]=>[3,-5,2,1,-4]
[3,-1,5,2,4]=>[-3,5,2,-1,4]
[3,-1,5,2,-4]=>[-3,5,2,1,4]
[3,-1,5,-2,4]=>[-3,-5,2,-1,4]
[3,-1,5,-2,-4]=>[-3,-5,2,1,4]
[3,-1,-5,2,4]=>[-3,5,2,-1,-4]
[3,-1,-5,2,-4]=>[-3,5,2,1,-4]
[3,-1,-5,-2,4]=>[-3,-5,2,-1,-4]
[3,-1,-5,-2,-4]=>[-3,-5,2,1,-4]
[-3,1,5,2,4]=>[3,5,-2,-1,4]
[-3,1,5,2,-4]=>[3,5,-2,1,4]
[-3,1,5,-2,4]=>[3,-5,-2,-1,4]
[-3,1,5,-2,-4]=>[3,-5,-2,1,4]
[-3,1,-5,2,4]=>[3,5,-2,-1,-4]
[-3,1,-5,2,-4]=>[3,5,-2,1,-4]
[-3,1,-5,-2,4]=>[3,-5,-2,-1,-4]
[-3,1,-5,-2,-4]=>[3,-5,-2,1,-4]
[-3,-1,5,2,4]=>[-3,5,-2,-1,4]
[-3,-1,5,2,-4]=>[-3,5,-2,1,4]
[-3,-1,5,-2,4]=>[-3,-5,-2,-1,4]
[-3,-1,5,-2,-4]=>[-3,-5,-2,1,4]
[-3,-1,-5,2,4]=>[-3,5,-2,-1,-4]
[-3,-1,-5,2,-4]=>[-3,5,-2,1,-4]
[-3,-1,-5,-2,4]=>[-3,-5,-2,-1,-4]
[-3,-1,-5,-2,-4]=>[-3,-5,-2,1,-4]
[3,1,5,4,2]=>[3,-1,2,5,4]
[3,1,5,4,-2]=>[3,1,2,5,4]
[3,1,5,-4,2]=>[3,-1,2,-5,4]
[3,1,5,-4,-2]=>[3,1,2,-5,4]
[3,1,-5,4,2]=>[3,-1,2,5,-4]
[3,1,-5,4,-2]=>[3,1,2,5,-4]
[3,1,-5,-4,2]=>[3,-1,2,-5,-4]
[3,1,-5,-4,-2]=>[3,1,2,-5,-4]
[3,-1,5,4,2]=>[-3,-1,2,5,4]
[3,-1,5,4,-2]=>[-3,1,2,5,4]
[3,-1,5,-4,2]=>[-3,-1,2,-5,4]
[3,-1,5,-4,-2]=>[-3,1,2,-5,4]
[3,-1,-5,4,2]=>[-3,-1,2,5,-4]
[3,-1,-5,4,-2]=>[-3,1,2,5,-4]
[3,-1,-5,-4,2]=>[-3,-1,2,-5,-4]
[3,-1,-5,-4,-2]=>[-3,1,2,-5,-4]
[-3,1,5,4,2]=>[3,-1,-2,5,4]
[-3,1,5,4,-2]=>[3,1,-2,5,4]
[-3,1,5,-4,2]=>[3,-1,-2,-5,4]
[-3,1,5,-4,-2]=>[3,1,-2,-5,4]
[-3,1,-5,4,2]=>[3,-1,-2,5,-4]
[-3,1,-5,4,-2]=>[3,1,-2,5,-4]
[-3,1,-5,-4,2]=>[3,-1,-2,-5,-4]
[-3,1,-5,-4,-2]=>[3,1,-2,-5,-4]
[-3,-1,5,4,2]=>[-3,-1,-2,5,4]
[-3,-1,5,4,-2]=>[-3,1,-2,5,4]
[-3,-1,5,-4,2]=>[-3,-1,-2,-5,4]
[-3,-1,5,-4,-2]=>[-3,1,-2,-5,4]
[-3,-1,-5,4,2]=>[-3,-1,-2,5,-4]
[-3,-1,-5,4,-2]=>[-3,1,-2,5,-4]
[-3,-1,-5,-4,2]=>[-3,-1,-2,-5,-4]
[-3,-1,-5,-4,-2]=>[-3,1,-2,-5,-4]
[3,2,1,4,5]=>[4,3,2,5,-1]
[3,2,1,4,-5]=>[4,3,2,5,1]
[3,2,1,-4,5]=>[4,3,2,-5,-1]
[3,2,1,-4,-5]=>[4,3,2,-5,1]
[3,2,-1,4,5]=>[-4,3,2,5,-1]
[3,2,-1,4,-5]=>[-4,3,2,5,1]
[3,2,-1,-4,5]=>[-4,3,2,-5,-1]
[3,2,-1,-4,-5]=>[-4,3,2,-5,1]
[3,-2,1,4,5]=>[4,-3,2,5,-1]
[3,-2,1,4,-5]=>[4,-3,2,5,1]
[3,-2,1,-4,5]=>[4,-3,2,-5,-1]
[3,-2,1,-4,-5]=>[4,-3,2,-5,1]
[3,-2,-1,4,5]=>[-4,-3,2,5,-1]
[3,-2,-1,4,-5]=>[-4,-3,2,5,1]
[3,-2,-1,-4,5]=>[-4,-3,2,-5,-1]
[3,-2,-1,-4,-5]=>[-4,-3,2,-5,1]
[-3,2,1,4,5]=>[4,3,-2,5,-1]
[-3,2,1,4,-5]=>[4,3,-2,5,1]
[-3,2,1,-4,5]=>[4,3,-2,-5,-1]
[-3,2,1,-4,-5]=>[4,3,-2,-5,1]
[-3,2,-1,4,5]=>[-4,3,-2,5,-1]
[-3,2,-1,4,-5]=>[-4,3,-2,5,1]
[-3,2,-1,-4,5]=>[-4,3,-2,-5,-1]
[-3,2,-1,-4,-5]=>[-4,3,-2,-5,1]
[-3,-2,1,4,5]=>[4,-3,-2,5,-1]
[-3,-2,1,4,-5]=>[4,-3,-2,5,1]
[-3,-2,1,-4,5]=>[4,-3,-2,-5,-1]
[-3,-2,1,-4,-5]=>[4,-3,-2,-5,1]
[-3,-2,-1,4,5]=>[-4,-3,-2,5,-1]
[-3,-2,-1,4,-5]=>[-4,-3,-2,5,1]
[-3,-2,-1,-4,5]=>[-4,-3,-2,-5,-1]
[-3,-2,-1,-4,-5]=>[-4,-3,-2,-5,1]
[3,2,1,5,4]=>[4,3,2,-1,5]
[3,2,1,5,-4]=>[4,3,2,1,5]
[3,2,1,-5,4]=>[4,3,2,-1,-5]
[3,2,1,-5,-4]=>[4,3,2,1,-5]
[3,2,-1,5,4]=>[-4,3,2,-1,5]
[3,2,-1,5,-4]=>[-4,3,2,1,5]
[3,2,-1,-5,4]=>[-4,3,2,-1,-5]
[3,2,-1,-5,-4]=>[-4,3,2,1,-5]
[3,-2,1,5,4]=>[4,-3,2,-1,5]
[3,-2,1,5,-4]=>[4,-3,2,1,5]
[3,-2,1,-5,4]=>[4,-3,2,-1,-5]
[3,-2,1,-5,-4]=>[4,-3,2,1,-5]
[3,-2,-1,5,4]=>[-4,-3,2,-1,5]
[3,-2,-1,5,-4]=>[-4,-3,2,1,5]
[3,-2,-1,-5,4]=>[-4,-3,2,-1,-5]
[3,-2,-1,-5,-4]=>[-4,-3,2,1,-5]
[-3,2,1,5,4]=>[4,3,-2,-1,5]
[-3,2,1,5,-4]=>[4,3,-2,1,5]
[-3,2,1,-5,4]=>[4,3,-2,-1,-5]
[-3,2,1,-5,-4]=>[4,3,-2,1,-5]
[-3,2,-1,5,4]=>[-4,3,-2,-1,5]
[-3,2,-1,5,-4]=>[-4,3,-2,1,5]
[-3,2,-1,-5,4]=>[-4,3,-2,-1,-5]
[-3,2,-1,-5,-4]=>[-4,3,-2,1,-5]
[-3,-2,1,5,4]=>[4,-3,-2,-1,5]
[-3,-2,1,5,-4]=>[4,-3,-2,1,5]
[-3,-2,1,-5,4]=>[4,-3,-2,-1,-5]
[-3,-2,1,-5,-4]=>[4,-3,-2,1,-5]
[-3,-2,-1,5,4]=>[-4,-3,-2,-1,5]
[-3,-2,-1,5,-4]=>[-4,-3,-2,1,5]
[-3,-2,-1,-5,4]=>[-4,-3,-2,-1,-5]
[-3,-2,-1,-5,-4]=>[-4,-3,-2,1,-5]
[3,2,4,1,5]=>[5,3,2,4,-1]
[3,2,4,1,-5]=>[5,3,2,4,1]
[3,2,4,-1,5]=>[-5,3,2,4,-1]
[3,2,4,-1,-5]=>[-5,3,2,4,1]
[3,2,-4,1,5]=>[5,3,2,-4,-1]
[3,2,-4,1,-5]=>[5,3,2,-4,1]
[3,2,-4,-1,5]=>[-5,3,2,-4,-1]
[3,2,-4,-1,-5]=>[-5,3,2,-4,1]
[3,-2,4,1,5]=>[5,-3,2,4,-1]
[3,-2,4,1,-5]=>[5,-3,2,4,1]
[3,-2,4,-1,5]=>[-5,-3,2,4,-1]
[3,-2,4,-1,-5]=>[-5,-3,2,4,1]
[3,-2,-4,1,5]=>[5,-3,2,-4,-1]
[3,-2,-4,1,-5]=>[5,-3,2,-4,1]
[3,-2,-4,-1,5]=>[-5,-3,2,-4,-1]
[3,-2,-4,-1,-5]=>[-5,-3,2,-4,1]
[-3,2,4,1,5]=>[5,3,-2,4,-1]
[-3,2,4,1,-5]=>[5,3,-2,4,1]
[-3,2,4,-1,5]=>[-5,3,-2,4,-1]
[-3,2,4,-1,-5]=>[-5,3,-2,4,1]
[-3,2,-4,1,5]=>[5,3,-2,-4,-1]
[-3,2,-4,1,-5]=>[5,3,-2,-4,1]
[-3,2,-4,-1,5]=>[-5,3,-2,-4,-1]
[-3,2,-4,-1,-5]=>[-5,3,-2,-4,1]
[-3,-2,4,1,5]=>[5,-3,-2,4,-1]
[-3,-2,4,1,-5]=>[5,-3,-2,4,1]
[-3,-2,4,-1,5]=>[-5,-3,-2,4,-1]
[-3,-2,4,-1,-5]=>[-5,-3,-2,4,1]
[-3,-2,-4,1,5]=>[5,-3,-2,-4,-1]
[-3,-2,-4,1,-5]=>[5,-3,-2,-4,1]
[-3,-2,-4,-1,5]=>[-5,-3,-2,-4,-1]
[-3,-2,-4,-1,-5]=>[-5,-3,-2,-4,1]
[3,2,4,5,1]=>[-1,3,2,4,5]
[3,2,4,5,-1]=>[1,3,2,4,5]
[3,2,4,-5,1]=>[-1,3,2,4,-5]
[3,2,4,-5,-1]=>[1,3,2,4,-5]
[3,2,-4,5,1]=>[-1,3,2,-4,5]
[3,2,-4,5,-1]=>[1,3,2,-4,5]
[3,2,-4,-5,1]=>[-1,3,2,-4,-5]
[3,2,-4,-5,-1]=>[1,3,2,-4,-5]
[3,-2,4,5,1]=>[-1,-3,2,4,5]
[3,-2,4,5,-1]=>[1,-3,2,4,5]
[3,-2,4,-5,1]=>[-1,-3,2,4,-5]
[3,-2,4,-5,-1]=>[1,-3,2,4,-5]
[3,-2,-4,5,1]=>[-1,-3,2,-4,5]
[3,-2,-4,5,-1]=>[1,-3,2,-4,5]
[3,-2,-4,-5,1]=>[-1,-3,2,-4,-5]
[3,-2,-4,-5,-1]=>[1,-3,2,-4,-5]
[-3,2,4,5,1]=>[-1,3,-2,4,5]
[-3,2,4,5,-1]=>[1,3,-2,4,5]
[-3,2,4,-5,1]=>[-1,3,-2,4,-5]
[-3,2,4,-5,-1]=>[1,3,-2,4,-5]
[-3,2,-4,5,1]=>[-1,3,-2,-4,5]
[-3,2,-4,5,-1]=>[1,3,-2,-4,5]
[-3,2,-4,-5,1]=>[-1,3,-2,-4,-5]
[-3,2,-4,-5,-1]=>[1,3,-2,-4,-5]
[-3,-2,4,5,1]=>[-1,-3,-2,4,5]
[-3,-2,4,5,-1]=>[1,-3,-2,4,5]
[-3,-2,4,-5,1]=>[-1,-3,-2,4,-5]
[-3,-2,4,-5,-1]=>[1,-3,-2,4,-5]
[-3,-2,-4,5,1]=>[-1,-3,-2,-4,5]
[-3,-2,-4,5,-1]=>[1,-3,-2,-4,5]
[-3,-2,-4,-5,1]=>[-1,-3,-2,-4,-5]
[-3,-2,-4,-5,-1]=>[1,-3,-2,-4,-5]
[3,2,5,1,4]=>[5,3,2,-1,4]
[3,2,5,1,-4]=>[5,3,2,1,4]
[3,2,5,-1,4]=>[-5,3,2,-1,4]
[3,2,5,-1,-4]=>[-5,3,2,1,4]
[3,2,-5,1,4]=>[5,3,2,-1,-4]
[3,2,-5,1,-4]=>[5,3,2,1,-4]
[3,2,-5,-1,4]=>[-5,3,2,-1,-4]
[3,2,-5,-1,-4]=>[-5,3,2,1,-4]
[3,-2,5,1,4]=>[5,-3,2,-1,4]
[3,-2,5,1,-4]=>[5,-3,2,1,4]
[3,-2,5,-1,4]=>[-5,-3,2,-1,4]
[3,-2,5,-1,-4]=>[-5,-3,2,1,4]
[3,-2,-5,1,4]=>[5,-3,2,-1,-4]
[3,-2,-5,1,-4]=>[5,-3,2,1,-4]
[3,-2,-5,-1,4]=>[-5,-3,2,-1,-4]
[3,-2,-5,-1,-4]=>[-5,-3,2,1,-4]
[-3,2,5,1,4]=>[5,3,-2,-1,4]
[-3,2,5,1,-4]=>[5,3,-2,1,4]
[-3,2,5,-1,4]=>[-5,3,-2,-1,4]
[-3,2,5,-1,-4]=>[-5,3,-2,1,4]
[-3,2,-5,1,4]=>[5,3,-2,-1,-4]
[-3,2,-5,1,-4]=>[5,3,-2,1,-4]
[-3,2,-5,-1,4]=>[-5,3,-2,-1,-4]
[-3,2,-5,-1,-4]=>[-5,3,-2,1,-4]
[-3,-2,5,1,4]=>[5,-3,-2,-1,4]
[-3,-2,5,1,-4]=>[5,-3,-2,1,4]
[-3,-2,5,-1,4]=>[-5,-3,-2,-1,4]
[-3,-2,5,-1,-4]=>[-5,-3,-2,1,4]
[-3,-2,-5,1,4]=>[5,-3,-2,-1,-4]
[-3,-2,-5,1,-4]=>[5,-3,-2,1,-4]
[-3,-2,-5,-1,4]=>[-5,-3,-2,-1,-4]
[-3,-2,-5,-1,-4]=>[-5,-3,-2,1,-4]
[3,2,5,4,1]=>[-1,3,2,5,4]
[3,2,5,4,-1]=>[1,3,2,5,4]
[3,2,5,-4,1]=>[-1,3,2,-5,4]
[3,2,5,-4,-1]=>[1,3,2,-5,4]
[3,2,-5,4,1]=>[-1,3,2,5,-4]
[3,2,-5,4,-1]=>[1,3,2,5,-4]
[3,2,-5,-4,1]=>[-1,3,2,-5,-4]
[3,2,-5,-4,-1]=>[1,3,2,-5,-4]
[3,-2,5,4,1]=>[-1,-3,2,5,4]
[3,-2,5,4,-1]=>[1,-3,2,5,4]
[3,-2,5,-4,1]=>[-1,-3,2,-5,4]
[3,-2,5,-4,-1]=>[1,-3,2,-5,4]
[3,-2,-5,4,1]=>[-1,-3,2,5,-4]
[3,-2,-5,4,-1]=>[1,-3,2,5,-4]
[3,-2,-5,-4,1]=>[-1,-3,2,-5,-4]
[3,-2,-5,-4,-1]=>[1,-3,2,-5,-4]
[-3,2,5,4,1]=>[-1,3,-2,5,4]
[-3,2,5,4,-1]=>[1,3,-2,5,4]
[-3,2,5,-4,1]=>[-1,3,-2,-5,4]
[-3,2,5,-4,-1]=>[1,3,-2,-5,4]
[-3,2,-5,4,1]=>[-1,3,-2,5,-4]
[-3,2,-5,4,-1]=>[1,3,-2,5,-4]
[-3,2,-5,-4,1]=>[-1,3,-2,-5,-4]
[-3,2,-5,-4,-1]=>[1,3,-2,-5,-4]
[-3,-2,5,4,1]=>[-1,-3,-2,5,4]
[-3,-2,5,4,-1]=>[1,-3,-2,5,4]
[-3,-2,5,-4,1]=>[-1,-3,-2,-5,4]
[-3,-2,5,-4,-1]=>[1,-3,-2,-5,4]
[-3,-2,-5,4,1]=>[-1,-3,-2,5,-4]
[-3,-2,-5,4,-1]=>[1,-3,-2,5,-4]
[-3,-2,-5,-4,1]=>[-1,-3,-2,-5,-4]
[-3,-2,-5,-4,-1]=>[1,-3,-2,-5,-4]
[3,4,1,2,5]=>[4,5,2,3,-1]
[3,4,1,2,-5]=>[4,5,2,3,1]
[3,4,1,-2,5]=>[4,-5,2,3,-1]
[3,4,1,-2,-5]=>[4,-5,2,3,1]
[3,4,-1,2,5]=>[-4,5,2,3,-1]
[3,4,-1,2,-5]=>[-4,5,2,3,1]
[3,4,-1,-2,5]=>[-4,-5,2,3,-1]
[3,4,-1,-2,-5]=>[-4,-5,2,3,1]
[3,-4,1,2,5]=>[4,5,2,-3,-1]
[3,-4,1,2,-5]=>[4,5,2,-3,1]
[3,-4,1,-2,5]=>[4,-5,2,-3,-1]
[3,-4,1,-2,-5]=>[4,-5,2,-3,1]
[3,-4,-1,2,5]=>[-4,5,2,-3,-1]
[3,-4,-1,2,-5]=>[-4,5,2,-3,1]
[3,-4,-1,-2,5]=>[-4,-5,2,-3,-1]
[3,-4,-1,-2,-5]=>[-4,-5,2,-3,1]
[-3,4,1,2,5]=>[4,5,-2,3,-1]
[-3,4,1,2,-5]=>[4,5,-2,3,1]
[-3,4,1,-2,5]=>[4,-5,-2,3,-1]
[-3,4,1,-2,-5]=>[4,-5,-2,3,1]
[-3,4,-1,2,5]=>[-4,5,-2,3,-1]
[-3,4,-1,2,-5]=>[-4,5,-2,3,1]
[-3,4,-1,-2,5]=>[-4,-5,-2,3,-1]
[-3,4,-1,-2,-5]=>[-4,-5,-2,3,1]
[-3,-4,1,2,5]=>[4,5,-2,-3,-1]
[-3,-4,1,2,-5]=>[4,5,-2,-3,1]
[-3,-4,1,-2,5]=>[4,-5,-2,-3,-1]
[-3,-4,1,-2,-5]=>[4,-5,-2,-3,1]
[-3,-4,-1,2,5]=>[-4,5,-2,-3,-1]
[-3,-4,-1,2,-5]=>[-4,5,-2,-3,1]
[-3,-4,-1,-2,5]=>[-4,-5,-2,-3,-1]
[-3,-4,-1,-2,-5]=>[-4,-5,-2,-3,1]
[3,4,1,5,2]=>[4,-1,2,3,5]
[3,4,1,5,-2]=>[4,1,2,3,5]
[3,4,1,-5,2]=>[4,-1,2,3,-5]
[3,4,1,-5,-2]=>[4,1,2,3,-5]
[3,4,-1,5,2]=>[-4,-1,2,3,5]
[3,4,-1,5,-2]=>[-4,1,2,3,5]
[3,4,-1,-5,2]=>[-4,-1,2,3,-5]
[3,4,-1,-5,-2]=>[-4,1,2,3,-5]
[3,-4,1,5,2]=>[4,-1,2,-3,5]
[3,-4,1,5,-2]=>[4,1,2,-3,5]
[3,-4,1,-5,2]=>[4,-1,2,-3,-5]
[3,-4,1,-5,-2]=>[4,1,2,-3,-5]
[3,-4,-1,5,2]=>[-4,-1,2,-3,5]
[3,-4,-1,5,-2]=>[-4,1,2,-3,5]
[3,-4,-1,-5,2]=>[-4,-1,2,-3,-5]
[3,-4,-1,-5,-2]=>[-4,1,2,-3,-5]
[-3,4,1,5,2]=>[4,-1,-2,3,5]
[-3,4,1,5,-2]=>[4,1,-2,3,5]
[-3,4,1,-5,2]=>[4,-1,-2,3,-5]
[-3,4,1,-5,-2]=>[4,1,-2,3,-5]
[-3,4,-1,5,2]=>[-4,-1,-2,3,5]
[-3,4,-1,5,-2]=>[-4,1,-2,3,5]
[-3,4,-1,-5,2]=>[-4,-1,-2,3,-5]
[-3,4,-1,-5,-2]=>[-4,1,-2,3,-5]
[-3,-4,1,5,2]=>[4,-1,-2,-3,5]
[-3,-4,1,5,-2]=>[4,1,-2,-3,5]
[-3,-4,1,-5,2]=>[4,-1,-2,-3,-5]
[-3,-4,1,-5,-2]=>[4,1,-2,-3,-5]
[-3,-4,-1,5,2]=>[-4,-1,-2,-3,5]
[-3,-4,-1,5,-2]=>[-4,1,-2,-3,5]
[-3,-4,-1,-5,2]=>[-4,-1,-2,-3,-5]
[-3,-4,-1,-5,-2]=>[-4,1,-2,-3,-5]
[3,4,2,1,5]=>[5,4,2,3,-1]
[3,4,2,1,-5]=>[5,4,2,3,1]
[3,4,2,-1,5]=>[-5,4,2,3,-1]
[3,4,2,-1,-5]=>[-5,4,2,3,1]
[3,4,-2,1,5]=>[5,-4,2,3,-1]
[3,4,-2,1,-5]=>[5,-4,2,3,1]
[3,4,-2,-1,5]=>[-5,-4,2,3,-1]
[3,4,-2,-1,-5]=>[-5,-4,2,3,1]
[3,-4,2,1,5]=>[5,4,2,-3,-1]
[3,-4,2,1,-5]=>[5,4,2,-3,1]
[3,-4,2,-1,5]=>[-5,4,2,-3,-1]
[3,-4,2,-1,-5]=>[-5,4,2,-3,1]
[3,-4,-2,1,5]=>[5,-4,2,-3,-1]
[3,-4,-2,1,-5]=>[5,-4,2,-3,1]
[3,-4,-2,-1,5]=>[-5,-4,2,-3,-1]
[3,-4,-2,-1,-5]=>[-5,-4,2,-3,1]
[-3,4,2,1,5]=>[5,4,-2,3,-1]
[-3,4,2,1,-5]=>[5,4,-2,3,1]
[-3,4,2,-1,5]=>[-5,4,-2,3,-1]
[-3,4,2,-1,-5]=>[-5,4,-2,3,1]
[-3,4,-2,1,5]=>[5,-4,-2,3,-1]
[-3,4,-2,1,-5]=>[5,-4,-2,3,1]
[-3,4,-2,-1,5]=>[-5,-4,-2,3,-1]
[-3,4,-2,-1,-5]=>[-5,-4,-2,3,1]
[-3,-4,2,1,5]=>[5,4,-2,-3,-1]
[-3,-4,2,1,-5]=>[5,4,-2,-3,1]
[-3,-4,2,-1,5]=>[-5,4,-2,-3,-1]
[-3,-4,2,-1,-5]=>[-5,4,-2,-3,1]
[-3,-4,-2,1,5]=>[5,-4,-2,-3,-1]
[-3,-4,-2,1,-5]=>[5,-4,-2,-3,1]
[-3,-4,-2,-1,5]=>[-5,-4,-2,-3,-1]
[-3,-4,-2,-1,-5]=>[-5,-4,-2,-3,1]
[3,4,2,5,1]=>[-1,4,2,3,5]
[3,4,2,5,-1]=>[1,4,2,3,5]
[3,4,2,-5,1]=>[-1,4,2,3,-5]
[3,4,2,-5,-1]=>[1,4,2,3,-5]
[3,4,-2,5,1]=>[-1,-4,2,3,5]
[3,4,-2,5,-1]=>[1,-4,2,3,5]
[3,4,-2,-5,1]=>[-1,-4,2,3,-5]
[3,4,-2,-5,-1]=>[1,-4,2,3,-5]
[3,-4,2,5,1]=>[-1,4,2,-3,5]
[3,-4,2,5,-1]=>[1,4,2,-3,5]
[3,-4,2,-5,1]=>[-1,4,2,-3,-5]
[3,-4,2,-5,-1]=>[1,4,2,-3,-5]
[3,-4,-2,5,1]=>[-1,-4,2,-3,5]
[3,-4,-2,5,-1]=>[1,-4,2,-3,5]
[3,-4,-2,-5,1]=>[-1,-4,2,-3,-5]
[3,-4,-2,-5,-1]=>[1,-4,2,-3,-5]
[-3,4,2,5,1]=>[-1,4,-2,3,5]
[-3,4,2,5,-1]=>[1,4,-2,3,5]
[-3,4,2,-5,1]=>[-1,4,-2,3,-5]
[-3,4,2,-5,-1]=>[1,4,-2,3,-5]
[-3,4,-2,5,1]=>[-1,-4,-2,3,5]
[-3,4,-2,5,-1]=>[1,-4,-2,3,5]
[-3,4,-2,-5,1]=>[-1,-4,-2,3,-5]
[-3,4,-2,-5,-1]=>[1,-4,-2,3,-5]
[-3,-4,2,5,1]=>[-1,4,-2,-3,5]
[-3,-4,2,5,-1]=>[1,4,-2,-3,5]
[-3,-4,2,-5,1]=>[-1,4,-2,-3,-5]
[-3,-4,2,-5,-1]=>[1,4,-2,-3,-5]
[-3,-4,-2,5,1]=>[-1,-4,-2,-3,5]
[-3,-4,-2,5,-1]=>[1,-4,-2,-3,5]
[-3,-4,-2,-5,1]=>[-1,-4,-2,-3,-5]
[-3,-4,-2,-5,-1]=>[1,-4,-2,-3,-5]
[3,4,5,1,2]=>[5,-1,2,3,4]
[3,4,5,1,-2]=>[5,1,2,3,4]
[3,4,5,-1,2]=>[-5,-1,2,3,4]
[3,4,5,-1,-2]=>[-5,1,2,3,4]
[3,4,-5,1,2]=>[5,-1,2,3,-4]
[3,4,-5,1,-2]=>[5,1,2,3,-4]
[3,4,-5,-1,2]=>[-5,-1,2,3,-4]
[3,4,-5,-1,-2]=>[-5,1,2,3,-4]
[3,-4,5,1,2]=>[5,-1,2,-3,4]
[3,-4,5,1,-2]=>[5,1,2,-3,4]
[3,-4,5,-1,2]=>[-5,-1,2,-3,4]
[3,-4,5,-1,-2]=>[-5,1,2,-3,4]
[3,-4,-5,1,2]=>[5,-1,2,-3,-4]
[3,-4,-5,1,-2]=>[5,1,2,-3,-4]
[3,-4,-5,-1,2]=>[-5,-1,2,-3,-4]
[3,-4,-5,-1,-2]=>[-5,1,2,-3,-4]
[-3,4,5,1,2]=>[5,-1,-2,3,4]
[-3,4,5,1,-2]=>[5,1,-2,3,4]
[-3,4,5,-1,2]=>[-5,-1,-2,3,4]
[-3,4,5,-1,-2]=>[-5,1,-2,3,4]
[-3,4,-5,1,2]=>[5,-1,-2,3,-4]
[-3,4,-5,1,-2]=>[5,1,-2,3,-4]
[-3,4,-5,-1,2]=>[-5,-1,-2,3,-4]
[-3,4,-5,-1,-2]=>[-5,1,-2,3,-4]
[-3,-4,5,1,2]=>[5,-1,-2,-3,4]
[-3,-4,5,1,-2]=>[5,1,-2,-3,4]
[-3,-4,5,-1,2]=>[-5,-1,-2,-3,4]
[-3,-4,5,-1,-2]=>[-5,1,-2,-3,4]
[-3,-4,-5,1,2]=>[5,-1,-2,-3,-4]
[-3,-4,-5,1,-2]=>[5,1,-2,-3,-4]
[-3,-4,-5,-1,2]=>[-5,-1,-2,-3,-4]
[-3,-4,-5,-1,-2]=>[-5,1,-2,-3,-4]
[3,4,5,2,1]=>[-1,5,2,3,4]
[3,4,5,2,-1]=>[1,5,2,3,4]
[3,4,5,-2,1]=>[-1,-5,2,3,4]
[3,4,5,-2,-1]=>[1,-5,2,3,4]
[3,4,-5,2,1]=>[-1,5,2,3,-4]
[3,4,-5,2,-1]=>[1,5,2,3,-4]
[3,4,-5,-2,1]=>[-1,-5,2,3,-4]
[3,4,-5,-2,-1]=>[1,-5,2,3,-4]
[3,-4,5,2,1]=>[-1,5,2,-3,4]
[3,-4,5,2,-1]=>[1,5,2,-3,4]
[3,-4,5,-2,1]=>[-1,-5,2,-3,4]
[3,-4,5,-2,-1]=>[1,-5,2,-3,4]
[3,-4,-5,2,1]=>[-1,5,2,-3,-4]
[3,-4,-5,2,-1]=>[1,5,2,-3,-4]
[3,-4,-5,-2,1]=>[-1,-5,2,-3,-4]
[3,-4,-5,-2,-1]=>[1,-5,2,-3,-4]
[-3,4,5,2,1]=>[-1,5,-2,3,4]
[-3,4,5,2,-1]=>[1,5,-2,3,4]
[-3,4,5,-2,1]=>[-1,-5,-2,3,4]
[-3,4,5,-2,-1]=>[1,-5,-2,3,4]
[-3,4,-5,2,1]=>[-1,5,-2,3,-4]
[-3,4,-5,2,-1]=>[1,5,-2,3,-4]
[-3,4,-5,-2,1]=>[-1,-5,-2,3,-4]
[-3,4,-5,-2,-1]=>[1,-5,-2,3,-4]
[-3,-4,5,2,1]=>[-1,5,-2,-3,4]
[-3,-4,5,2,-1]=>[1,5,-2,-3,4]
[-3,-4,5,-2,1]=>[-1,-5,-2,-3,4]
[-3,-4,5,-2,-1]=>[1,-5,-2,-3,4]
[-3,-4,-5,2,1]=>[-1,5,-2,-3,-4]
[-3,-4,-5,2,-1]=>[1,5,-2,-3,-4]
[-3,-4,-5,-2,1]=>[-1,-5,-2,-3,-4]
[-3,-4,-5,-2,-1]=>[1,-5,-2,-3,-4]
[3,5,1,2,4]=>[4,5,2,-1,3]
[3,5,1,2,-4]=>[4,5,2,1,3]
[3,5,1,-2,4]=>[4,-5,2,-1,3]
[3,5,1,-2,-4]=>[4,-5,2,1,3]
[3,5,-1,2,4]=>[-4,5,2,-1,3]
[3,5,-1,2,-4]=>[-4,5,2,1,3]
[3,5,-1,-2,4]=>[-4,-5,2,-1,3]
[3,5,-1,-2,-4]=>[-4,-5,2,1,3]
[3,-5,1,2,4]=>[4,5,2,-1,-3]
[3,-5,1,2,-4]=>[4,5,2,1,-3]
[3,-5,1,-2,4]=>[4,-5,2,-1,-3]
[3,-5,1,-2,-4]=>[4,-5,2,1,-3]
[3,-5,-1,2,4]=>[-4,5,2,-1,-3]
[3,-5,-1,2,-4]=>[-4,5,2,1,-3]
[3,-5,-1,-2,4]=>[-4,-5,2,-1,-3]
[3,-5,-1,-2,-4]=>[-4,-5,2,1,-3]
[-3,5,1,2,4]=>[4,5,-2,-1,3]
[-3,5,1,2,-4]=>[4,5,-2,1,3]
[-3,5,1,-2,4]=>[4,-5,-2,-1,3]
[-3,5,1,-2,-4]=>[4,-5,-2,1,3]
[-3,5,-1,2,4]=>[-4,5,-2,-1,3]
[-3,5,-1,2,-4]=>[-4,5,-2,1,3]
[-3,5,-1,-2,4]=>[-4,-5,-2,-1,3]
[-3,5,-1,-2,-4]=>[-4,-5,-2,1,3]
[-3,-5,1,2,4]=>[4,5,-2,-1,-3]
[-3,-5,1,2,-4]=>[4,5,-2,1,-3]
[-3,-5,1,-2,4]=>[4,-5,-2,-1,-3]
[-3,-5,1,-2,-4]=>[4,-5,-2,1,-3]
[-3,-5,-1,2,4]=>[-4,5,-2,-1,-3]
[-3,-5,-1,2,-4]=>[-4,5,-2,1,-3]
[-3,-5,-1,-2,4]=>[-4,-5,-2,-1,-3]
[-3,-5,-1,-2,-4]=>[-4,-5,-2,1,-3]
[3,5,1,4,2]=>[4,-1,2,5,3]
[3,5,1,4,-2]=>[4,1,2,5,3]
[3,5,1,-4,2]=>[4,-1,2,-5,3]
[3,5,1,-4,-2]=>[4,1,2,-5,3]
[3,5,-1,4,2]=>[-4,-1,2,5,3]
[3,5,-1,4,-2]=>[-4,1,2,5,3]
[3,5,-1,-4,2]=>[-4,-1,2,-5,3]
[3,5,-1,-4,-2]=>[-4,1,2,-5,3]
[3,-5,1,4,2]=>[4,-1,2,5,-3]
[3,-5,1,4,-2]=>[4,1,2,5,-3]
[3,-5,1,-4,2]=>[4,-1,2,-5,-3]
[3,-5,1,-4,-2]=>[4,1,2,-5,-3]
[3,-5,-1,4,2]=>[-4,-1,2,5,-3]
[3,-5,-1,4,-2]=>[-4,1,2,5,-3]
[3,-5,-1,-4,2]=>[-4,-1,2,-5,-3]
[3,-5,-1,-4,-2]=>[-4,1,2,-5,-3]
[-3,5,1,4,2]=>[4,-1,-2,5,3]
[-3,5,1,4,-2]=>[4,1,-2,5,3]
[-3,5,1,-4,2]=>[4,-1,-2,-5,3]
[-3,5,1,-4,-2]=>[4,1,-2,-5,3]
[-3,5,-1,4,2]=>[-4,-1,-2,5,3]
[-3,5,-1,4,-2]=>[-4,1,-2,5,3]
[-3,5,-1,-4,2]=>[-4,-1,-2,-5,3]
[-3,5,-1,-4,-2]=>[-4,1,-2,-5,3]
[-3,-5,1,4,2]=>[4,-1,-2,5,-3]
[-3,-5,1,4,-2]=>[4,1,-2,5,-3]
[-3,-5,1,-4,2]=>[4,-1,-2,-5,-3]
[-3,-5,1,-4,-2]=>[4,1,-2,-5,-3]
[-3,-5,-1,4,2]=>[-4,-1,-2,5,-3]
[-3,-5,-1,4,-2]=>[-4,1,-2,5,-3]
[-3,-5,-1,-4,2]=>[-4,-1,-2,-5,-3]
[-3,-5,-1,-4,-2]=>[-4,1,-2,-5,-3]
[3,5,2,1,4]=>[5,4,2,-1,3]
[3,5,2,1,-4]=>[5,4,2,1,3]
[3,5,2,-1,4]=>[-5,4,2,-1,3]
[3,5,2,-1,-4]=>[-5,4,2,1,3]
[3,5,-2,1,4]=>[5,-4,2,-1,3]
[3,5,-2,1,-4]=>[5,-4,2,1,3]
[3,5,-2,-1,4]=>[-5,-4,2,-1,3]
[3,5,-2,-1,-4]=>[-5,-4,2,1,3]
[3,-5,2,1,4]=>[5,4,2,-1,-3]
[3,-5,2,1,-4]=>[5,4,2,1,-3]
[3,-5,2,-1,4]=>[-5,4,2,-1,-3]
[3,-5,2,-1,-4]=>[-5,4,2,1,-3]
[3,-5,-2,1,4]=>[5,-4,2,-1,-3]
[3,-5,-2,1,-4]=>[5,-4,2,1,-3]
[3,-5,-2,-1,4]=>[-5,-4,2,-1,-3]
[3,-5,-2,-1,-4]=>[-5,-4,2,1,-3]
[-3,5,2,1,4]=>[5,4,-2,-1,3]
[-3,5,2,1,-4]=>[5,4,-2,1,3]
[-3,5,2,-1,4]=>[-5,4,-2,-1,3]
[-3,5,2,-1,-4]=>[-5,4,-2,1,3]
[-3,5,-2,1,4]=>[5,-4,-2,-1,3]
[-3,5,-2,1,-4]=>[5,-4,-2,1,3]
[-3,5,-2,-1,4]=>[-5,-4,-2,-1,3]
[-3,5,-2,-1,-4]=>[-5,-4,-2,1,3]
[-3,-5,2,1,4]=>[5,4,-2,-1,-3]
[-3,-5,2,1,-4]=>[5,4,-2,1,-3]
[-3,-5,2,-1,4]=>[-5,4,-2,-1,-3]
[-3,-5,2,-1,-4]=>[-5,4,-2,1,-3]
[-3,-5,-2,1,4]=>[5,-4,-2,-1,-3]
[-3,-5,-2,1,-4]=>[5,-4,-2,1,-3]
[-3,-5,-2,-1,4]=>[-5,-4,-2,-1,-3]
[-3,-5,-2,-1,-4]=>[-5,-4,-2,1,-3]
[3,5,2,4,1]=>[-1,4,2,5,3]
[3,5,2,4,-1]=>[1,4,2,5,3]
[3,5,2,-4,1]=>[-1,4,2,-5,3]
[3,5,2,-4,-1]=>[1,4,2,-5,3]
[3,5,-2,4,1]=>[-1,-4,2,5,3]
[3,5,-2,4,-1]=>[1,-4,2,5,3]
[3,5,-2,-4,1]=>[-1,-4,2,-5,3]
[3,5,-2,-4,-1]=>[1,-4,2,-5,3]
[3,-5,2,4,1]=>[-1,4,2,5,-3]
[3,-5,2,4,-1]=>[1,4,2,5,-3]
[3,-5,2,-4,1]=>[-1,4,2,-5,-3]
[3,-5,2,-4,-1]=>[1,4,2,-5,-3]
[3,-5,-2,4,1]=>[-1,-4,2,5,-3]
[3,-5,-2,4,-1]=>[1,-4,2,5,-3]
[3,-5,-2,-4,1]=>[-1,-4,2,-5,-3]
[3,-5,-2,-4,-1]=>[1,-4,2,-5,-3]
[-3,5,2,4,1]=>[-1,4,-2,5,3]
[-3,5,2,4,-1]=>[1,4,-2,5,3]
[-3,5,2,-4,1]=>[-1,4,-2,-5,3]
[-3,5,2,-4,-1]=>[1,4,-2,-5,3]
[-3,5,-2,4,1]=>[-1,-4,-2,5,3]
[-3,5,-2,4,-1]=>[1,-4,-2,5,3]
[-3,5,-2,-4,1]=>[-1,-4,-2,-5,3]
[-3,5,-2,-4,-1]=>[1,-4,-2,-5,3]
[-3,-5,2,4,1]=>[-1,4,-2,5,-3]
[-3,-5,2,4,-1]=>[1,4,-2,5,-3]
[-3,-5,2,-4,1]=>[-1,4,-2,-5,-3]
[-3,-5,2,-4,-1]=>[1,4,-2,-5,-3]
[-3,-5,-2,4,1]=>[-1,-4,-2,5,-3]
[-3,-5,-2,4,-1]=>[1,-4,-2,5,-3]
[-3,-5,-2,-4,1]=>[-1,-4,-2,-5,-3]
[-3,-5,-2,-4,-1]=>[1,-4,-2,-5,-3]
[3,5,4,1,2]=>[5,-1,2,4,3]
[3,5,4,1,-2]=>[5,1,2,4,3]
[3,5,4,-1,2]=>[-5,-1,2,4,3]
[3,5,4,-1,-2]=>[-5,1,2,4,3]
[3,5,-4,1,2]=>[5,-1,2,-4,3]
[3,5,-4,1,-2]=>[5,1,2,-4,3]
[3,5,-4,-1,2]=>[-5,-1,2,-4,3]
[3,5,-4,-1,-2]=>[-5,1,2,-4,3]
[3,-5,4,1,2]=>[5,-1,2,4,-3]
[3,-5,4,1,-2]=>[5,1,2,4,-3]
[3,-5,4,-1,2]=>[-5,-1,2,4,-3]
[3,-5,4,-1,-2]=>[-5,1,2,4,-3]
[3,-5,-4,1,2]=>[5,-1,2,-4,-3]
[3,-5,-4,1,-2]=>[5,1,2,-4,-3]
[3,-5,-4,-1,2]=>[-5,-1,2,-4,-3]
[3,-5,-4,-1,-2]=>[-5,1,2,-4,-3]
[-3,5,4,1,2]=>[5,-1,-2,4,3]
[-3,5,4,1,-2]=>[5,1,-2,4,3]
[-3,5,4,-1,2]=>[-5,-1,-2,4,3]
[-3,5,4,-1,-2]=>[-5,1,-2,4,3]
[-3,5,-4,1,2]=>[5,-1,-2,-4,3]
[-3,5,-4,1,-2]=>[5,1,-2,-4,3]
[-3,5,-4,-1,2]=>[-5,-1,-2,-4,3]
[-3,5,-4,-1,-2]=>[-5,1,-2,-4,3]
[-3,-5,4,1,2]=>[5,-1,-2,4,-3]
[-3,-5,4,1,-2]=>[5,1,-2,4,-3]
[-3,-5,4,-1,2]=>[-5,-1,-2,4,-3]
[-3,-5,4,-1,-2]=>[-5,1,-2,4,-3]
[-3,-5,-4,1,2]=>[5,-1,-2,-4,-3]
[-3,-5,-4,1,-2]=>[5,1,-2,-4,-3]
[-3,-5,-4,-1,2]=>[-5,-1,-2,-4,-3]
[-3,-5,-4,-1,-2]=>[-5,1,-2,-4,-3]
[3,5,4,2,1]=>[-1,5,2,4,3]
[3,5,4,2,-1]=>[1,5,2,4,3]
[3,5,4,-2,1]=>[-1,-5,2,4,3]
[3,5,4,-2,-1]=>[1,-5,2,4,3]
[3,5,-4,2,1]=>[-1,5,2,-4,3]
[3,5,-4,2,-1]=>[1,5,2,-4,3]
[3,5,-4,-2,1]=>[-1,-5,2,-4,3]
[3,5,-4,-2,-1]=>[1,-5,2,-4,3]
[3,-5,4,2,1]=>[-1,5,2,4,-3]
[3,-5,4,2,-1]=>[1,5,2,4,-3]
[3,-5,4,-2,1]=>[-1,-5,2,4,-3]
[3,-5,4,-2,-1]=>[1,-5,2,4,-3]
[3,-5,-4,2,1]=>[-1,5,2,-4,-3]
[3,-5,-4,2,-1]=>[1,5,2,-4,-3]
[3,-5,-4,-2,1]=>[-1,-5,2,-4,-3]
[3,-5,-4,-2,-1]=>[1,-5,2,-4,-3]
[-3,5,4,2,1]=>[-1,5,-2,4,3]
[-3,5,4,2,-1]=>[1,5,-2,4,3]
[-3,5,4,-2,1]=>[-1,-5,-2,4,3]
[-3,5,4,-2,-1]=>[1,-5,-2,4,3]
[-3,5,-4,2,1]=>[-1,5,-2,-4,3]
[-3,5,-4,2,-1]=>[1,5,-2,-4,3]
[-3,5,-4,-2,1]=>[-1,-5,-2,-4,3]
[-3,5,-4,-2,-1]=>[1,-5,-2,-4,3]
[-3,-5,4,2,1]=>[-1,5,-2,4,-3]
[-3,-5,4,2,-1]=>[1,5,-2,4,-3]
[-3,-5,4,-2,1]=>[-1,-5,-2,4,-3]
[-3,-5,4,-2,-1]=>[1,-5,-2,4,-3]
[-3,-5,-4,2,1]=>[-1,5,-2,-4,-3]
[-3,-5,-4,2,-1]=>[1,5,-2,-4,-3]
[-3,-5,-4,-2,1]=>[-1,-5,-2,-4,-3]
[-3,-5,-4,-2,-1]=>[1,-5,-2,-4,-3]
[4,1,2,3,5]=>[3,4,5,2,-1]
[4,1,2,3,-5]=>[3,4,5,2,1]
[4,1,2,-3,5]=>[3,4,-5,2,-1]
[4,1,2,-3,-5]=>[3,4,-5,2,1]
[4,1,-2,3,5]=>[3,-4,5,2,-1]
[4,1,-2,3,-5]=>[3,-4,5,2,1]
[4,1,-2,-3,5]=>[3,-4,-5,2,-1]
[4,1,-2,-3,-5]=>[3,-4,-5,2,1]
[4,-1,2,3,5]=>[-3,4,5,2,-1]
[4,-1,2,3,-5]=>[-3,4,5,2,1]
[4,-1,2,-3,5]=>[-3,4,-5,2,-1]
[4,-1,2,-3,-5]=>[-3,4,-5,2,1]
[4,-1,-2,3,5]=>[-3,-4,5,2,-1]
[4,-1,-2,3,-5]=>[-3,-4,5,2,1]
[4,-1,-2,-3,5]=>[-3,-4,-5,2,-1]
[4,-1,-2,-3,-5]=>[-3,-4,-5,2,1]
[-4,1,2,3,5]=>[3,4,5,-2,-1]
[-4,1,2,3,-5]=>[3,4,5,-2,1]
[-4,1,2,-3,5]=>[3,4,-5,-2,-1]
[-4,1,2,-3,-5]=>[3,4,-5,-2,1]
[-4,1,-2,3,5]=>[3,-4,5,-2,-1]
[-4,1,-2,3,-5]=>[3,-4,5,-2,1]
[-4,1,-2,-3,5]=>[3,-4,-5,-2,-1]
[-4,1,-2,-3,-5]=>[3,-4,-5,-2,1]
[-4,-1,2,3,5]=>[-3,4,5,-2,-1]
[-4,-1,2,3,-5]=>[-3,4,5,-2,1]
[-4,-1,2,-3,5]=>[-3,4,-5,-2,-1]
[-4,-1,2,-3,-5]=>[-3,4,-5,-2,1]
[-4,-1,-2,3,5]=>[-3,-4,5,-2,-1]
[-4,-1,-2,3,-5]=>[-3,-4,5,-2,1]
[-4,-1,-2,-3,5]=>[-3,-4,-5,-2,-1]
[-4,-1,-2,-3,-5]=>[-3,-4,-5,-2,1]
[4,1,2,5,3]=>[3,4,-1,2,5]
[4,1,2,5,-3]=>[3,4,1,2,5]
[4,1,2,-5,3]=>[3,4,-1,2,-5]
[4,1,2,-5,-3]=>[3,4,1,2,-5]
[4,1,-2,5,3]=>[3,-4,-1,2,5]
[4,1,-2,5,-3]=>[3,-4,1,2,5]
[4,1,-2,-5,3]=>[3,-4,-1,2,-5]
[4,1,-2,-5,-3]=>[3,-4,1,2,-5]
[4,-1,2,5,3]=>[-3,4,-1,2,5]
[4,-1,2,5,-3]=>[-3,4,1,2,5]
[4,-1,2,-5,3]=>[-3,4,-1,2,-5]
[4,-1,2,-5,-3]=>[-3,4,1,2,-5]
[4,-1,-2,5,3]=>[-3,-4,-1,2,5]
[4,-1,-2,5,-3]=>[-3,-4,1,2,5]
[4,-1,-2,-5,3]=>[-3,-4,-1,2,-5]
[4,-1,-2,-5,-3]=>[-3,-4,1,2,-5]
[-4,1,2,5,3]=>[3,4,-1,-2,5]
[-4,1,2,5,-3]=>[3,4,1,-2,5]
[-4,1,2,-5,3]=>[3,4,-1,-2,-5]
[-4,1,2,-5,-3]=>[3,4,1,-2,-5]
[-4,1,-2,5,3]=>[3,-4,-1,-2,5]
[-4,1,-2,5,-3]=>[3,-4,1,-2,5]
[-4,1,-2,-5,3]=>[3,-4,-1,-2,-5]
[-4,1,-2,-5,-3]=>[3,-4,1,-2,-5]
[-4,-1,2,5,3]=>[-3,4,-1,-2,5]
[-4,-1,2,5,-3]=>[-3,4,1,-2,5]
[-4,-1,2,-5,3]=>[-3,4,-1,-2,-5]
[-4,-1,2,-5,-3]=>[-3,4,1,-2,-5]
[-4,-1,-2,5,3]=>[-3,-4,-1,-2,5]
[-4,-1,-2,5,-3]=>[-3,-4,1,-2,5]
[-4,-1,-2,-5,3]=>[-3,-4,-1,-2,-5]
[-4,-1,-2,-5,-3]=>[-3,-4,1,-2,-5]
[4,1,3,2,5]=>[3,5,4,2,-1]
[4,1,3,2,-5]=>[3,5,4,2,1]
[4,1,3,-2,5]=>[3,-5,4,2,-1]
[4,1,3,-2,-5]=>[3,-5,4,2,1]
[4,1,-3,2,5]=>[3,5,-4,2,-1]
[4,1,-3,2,-5]=>[3,5,-4,2,1]
[4,1,-3,-2,5]=>[3,-5,-4,2,-1]
[4,1,-3,-2,-5]=>[3,-5,-4,2,1]
[4,-1,3,2,5]=>[-3,5,4,2,-1]
[4,-1,3,2,-5]=>[-3,5,4,2,1]
[4,-1,3,-2,5]=>[-3,-5,4,2,-1]
[4,-1,3,-2,-5]=>[-3,-5,4,2,1]
[4,-1,-3,2,5]=>[-3,5,-4,2,-1]
[4,-1,-3,2,-5]=>[-3,5,-4,2,1]
[4,-1,-3,-2,5]=>[-3,-5,-4,2,-1]
[4,-1,-3,-2,-5]=>[-3,-5,-4,2,1]
[-4,1,3,2,5]=>[3,5,4,-2,-1]
[-4,1,3,2,-5]=>[3,5,4,-2,1]
[-4,1,3,-2,5]=>[3,-5,4,-2,-1]
[-4,1,3,-2,-5]=>[3,-5,4,-2,1]
[-4,1,-3,2,5]=>[3,5,-4,-2,-1]
[-4,1,-3,2,-5]=>[3,5,-4,-2,1]
[-4,1,-3,-2,5]=>[3,-5,-4,-2,-1]
[-4,1,-3,-2,-5]=>[3,-5,-4,-2,1]
[-4,-1,3,2,5]=>[-3,5,4,-2,-1]
[-4,-1,3,2,-5]=>[-3,5,4,-2,1]
[-4,-1,3,-2,5]=>[-3,-5,4,-2,-1]
[-4,-1,3,-2,-5]=>[-3,-5,4,-2,1]
[-4,-1,-3,2,5]=>[-3,5,-4,-2,-1]
[-4,-1,-3,2,-5]=>[-3,5,-4,-2,1]
[-4,-1,-3,-2,5]=>[-3,-5,-4,-2,-1]
[-4,-1,-3,-2,-5]=>[-3,-5,-4,-2,1]
[4,1,3,5,2]=>[3,-1,4,2,5]
[4,1,3,5,-2]=>[3,1,4,2,5]
[4,1,3,-5,2]=>[3,-1,4,2,-5]
[4,1,3,-5,-2]=>[3,1,4,2,-5]
[4,1,-3,5,2]=>[3,-1,-4,2,5]
[4,1,-3,5,-2]=>[3,1,-4,2,5]
[4,1,-3,-5,2]=>[3,-1,-4,2,-5]
[4,1,-3,-5,-2]=>[3,1,-4,2,-5]
[4,-1,3,5,2]=>[-3,-1,4,2,5]
[4,-1,3,5,-2]=>[-3,1,4,2,5]
[4,-1,3,-5,2]=>[-3,-1,4,2,-5]
[4,-1,3,-5,-2]=>[-3,1,4,2,-5]
[4,-1,-3,5,2]=>[-3,-1,-4,2,5]
[4,-1,-3,5,-2]=>[-3,1,-4,2,5]
[4,-1,-3,-5,2]=>[-3,-1,-4,2,-5]
[4,-1,-3,-5,-2]=>[-3,1,-4,2,-5]
[-4,1,3,5,2]=>[3,-1,4,-2,5]
[-4,1,3,5,-2]=>[3,1,4,-2,5]
[-4,1,3,-5,2]=>[3,-1,4,-2,-5]
[-4,1,3,-5,-2]=>[3,1,4,-2,-5]
[-4,1,-3,5,2]=>[3,-1,-4,-2,5]
[-4,1,-3,5,-2]=>[3,1,-4,-2,5]
[-4,1,-3,-5,2]=>[3,-1,-4,-2,-5]
[-4,1,-3,-5,-2]=>[3,1,-4,-2,-5]
[-4,-1,3,5,2]=>[-3,-1,4,-2,5]
[-4,-1,3,5,-2]=>[-3,1,4,-2,5]
[-4,-1,3,-5,2]=>[-3,-1,4,-2,-5]
[-4,-1,3,-5,-2]=>[-3,1,4,-2,-5]
[-4,-1,-3,5,2]=>[-3,-1,-4,-2,5]
[-4,-1,-3,5,-2]=>[-3,1,-4,-2,5]
[-4,-1,-3,-5,2]=>[-3,-1,-4,-2,-5]
[-4,-1,-3,-5,-2]=>[-3,1,-4,-2,-5]
[4,1,5,2,3]=>[3,5,-1,2,4]
[4,1,5,2,-3]=>[3,5,1,2,4]
[4,1,5,-2,3]=>[3,-5,-1,2,4]
[4,1,5,-2,-3]=>[3,-5,1,2,4]
[4,1,-5,2,3]=>[3,5,-1,2,-4]
[4,1,-5,2,-3]=>[3,5,1,2,-4]
[4,1,-5,-2,3]=>[3,-5,-1,2,-4]
[4,1,-5,-2,-3]=>[3,-5,1,2,-4]
[4,-1,5,2,3]=>[-3,5,-1,2,4]
[4,-1,5,2,-3]=>[-3,5,1,2,4]
[4,-1,5,-2,3]=>[-3,-5,-1,2,4]
[4,-1,5,-2,-3]=>[-3,-5,1,2,4]
[4,-1,-5,2,3]=>[-3,5,-1,2,-4]
[4,-1,-5,2,-3]=>[-3,5,1,2,-4]
[4,-1,-5,-2,3]=>[-3,-5,-1,2,-4]
[4,-1,-5,-2,-3]=>[-3,-5,1,2,-4]
[-4,1,5,2,3]=>[3,5,-1,-2,4]
[-4,1,5,2,-3]=>[3,5,1,-2,4]
[-4,1,5,-2,3]=>[3,-5,-1,-2,4]
[-4,1,5,-2,-3]=>[3,-5,1,-2,4]
[-4,1,-5,2,3]=>[3,5,-1,-2,-4]
[-4,1,-5,2,-3]=>[3,5,1,-2,-4]
[-4,1,-5,-2,3]=>[3,-5,-1,-2,-4]
[-4,1,-5,-2,-3]=>[3,-5,1,-2,-4]
[-4,-1,5,2,3]=>[-3,5,-1,-2,4]
[-4,-1,5,2,-3]=>[-3,5,1,-2,4]
[-4,-1,5,-2,3]=>[-3,-5,-1,-2,4]
[-4,-1,5,-2,-3]=>[-3,-5,1,-2,4]
[-4,-1,-5,2,3]=>[-3,5,-1,-2,-4]
[-4,-1,-5,2,-3]=>[-3,5,1,-2,-4]
[-4,-1,-5,-2,3]=>[-3,-5,-1,-2,-4]
[-4,-1,-5,-2,-3]=>[-3,-5,1,-2,-4]
[4,1,5,3,2]=>[3,-1,5,2,4]
[4,1,5,3,-2]=>[3,1,5,2,4]
[4,1,5,-3,2]=>[3,-1,-5,2,4]
[4,1,5,-3,-2]=>[3,1,-5,2,4]
[4,1,-5,3,2]=>[3,-1,5,2,-4]
[4,1,-5,3,-2]=>[3,1,5,2,-4]
[4,1,-5,-3,2]=>[3,-1,-5,2,-4]
[4,1,-5,-3,-2]=>[3,1,-5,2,-4]
[4,-1,5,3,2]=>[-3,-1,5,2,4]
[4,-1,5,3,-2]=>[-3,1,5,2,4]
[4,-1,5,-3,2]=>[-3,-1,-5,2,4]
[4,-1,5,-3,-2]=>[-3,1,-5,2,4]
[4,-1,-5,3,2]=>[-3,-1,5,2,-4]
[4,-1,-5,3,-2]=>[-3,1,5,2,-4]
[4,-1,-5,-3,2]=>[-3,-1,-5,2,-4]
[4,-1,-5,-3,-2]=>[-3,1,-5,2,-4]
[-4,1,5,3,2]=>[3,-1,5,-2,4]
[-4,1,5,3,-2]=>[3,1,5,-2,4]
[-4,1,5,-3,2]=>[3,-1,-5,-2,4]
[-4,1,5,-3,-2]=>[3,1,-5,-2,4]
[-4,1,-5,3,2]=>[3,-1,5,-2,-4]
[-4,1,-5,3,-2]=>[3,1,5,-2,-4]
[-4,1,-5,-3,2]=>[3,-1,-5,-2,-4]
[-4,1,-5,-3,-2]=>[3,1,-5,-2,-4]
[-4,-1,5,3,2]=>[-3,-1,5,-2,4]
[-4,-1,5,3,-2]=>[-3,1,5,-2,4]
[-4,-1,5,-3,2]=>[-3,-1,-5,-2,4]
[-4,-1,5,-3,-2]=>[-3,1,-5,-2,4]
[-4,-1,-5,3,2]=>[-3,-1,5,-2,-4]
[-4,-1,-5,3,-2]=>[-3,1,5,-2,-4]
[-4,-1,-5,-3,2]=>[-3,-1,-5,-2,-4]
[-4,-1,-5,-3,-2]=>[-3,1,-5,-2,-4]
[4,2,1,3,5]=>[4,3,5,2,-1]
[4,2,1,3,-5]=>[4,3,5,2,1]
[4,2,1,-3,5]=>[4,3,-5,2,-1]
[4,2,1,-3,-5]=>[4,3,-5,2,1]
[4,2,-1,3,5]=>[-4,3,5,2,-1]
[4,2,-1,3,-5]=>[-4,3,5,2,1]
[4,2,-1,-3,5]=>[-4,3,-5,2,-1]
[4,2,-1,-3,-5]=>[-4,3,-5,2,1]
[4,-2,1,3,5]=>[4,-3,5,2,-1]
[4,-2,1,3,-5]=>[4,-3,5,2,1]
[4,-2,1,-3,5]=>[4,-3,-5,2,-1]
[4,-2,1,-3,-5]=>[4,-3,-5,2,1]
[4,-2,-1,3,5]=>[-4,-3,5,2,-1]
[4,-2,-1,3,-5]=>[-4,-3,5,2,1]
[4,-2,-1,-3,5]=>[-4,-3,-5,2,-1]
[4,-2,-1,-3,-5]=>[-4,-3,-5,2,1]
[-4,2,1,3,5]=>[4,3,5,-2,-1]
[-4,2,1,3,-5]=>[4,3,5,-2,1]
[-4,2,1,-3,5]=>[4,3,-5,-2,-1]
[-4,2,1,-3,-5]=>[4,3,-5,-2,1]
[-4,2,-1,3,5]=>[-4,3,5,-2,-1]
[-4,2,-1,3,-5]=>[-4,3,5,-2,1]
[-4,2,-1,-3,5]=>[-4,3,-5,-2,-1]
[-4,2,-1,-3,-5]=>[-4,3,-5,-2,1]
[-4,-2,1,3,5]=>[4,-3,5,-2,-1]
[-4,-2,1,3,-5]=>[4,-3,5,-2,1]
[-4,-2,1,-3,5]=>[4,-3,-5,-2,-1]
[-4,-2,1,-3,-5]=>[4,-3,-5,-2,1]
[-4,-2,-1,3,5]=>[-4,-3,5,-2,-1]
[-4,-2,-1,3,-5]=>[-4,-3,5,-2,1]
[-4,-2,-1,-3,5]=>[-4,-3,-5,-2,-1]
[-4,-2,-1,-3,-5]=>[-4,-3,-5,-2,1]
[4,2,1,5,3]=>[4,3,-1,2,5]
[4,2,1,5,-3]=>[4,3,1,2,5]
[4,2,1,-5,3]=>[4,3,-1,2,-5]
[4,2,1,-5,-3]=>[4,3,1,2,-5]
[4,2,-1,5,3]=>[-4,3,-1,2,5]
[4,2,-1,5,-3]=>[-4,3,1,2,5]
[4,2,-1,-5,3]=>[-4,3,-1,2,-5]
[4,2,-1,-5,-3]=>[-4,3,1,2,-5]
[4,-2,1,5,3]=>[4,-3,-1,2,5]
[4,-2,1,5,-3]=>[4,-3,1,2,5]
[4,-2,1,-5,3]=>[4,-3,-1,2,-5]
[4,-2,1,-5,-3]=>[4,-3,1,2,-5]
[4,-2,-1,5,3]=>[-4,-3,-1,2,5]
[4,-2,-1,5,-3]=>[-4,-3,1,2,5]
[4,-2,-1,-5,3]=>[-4,-3,-1,2,-5]
[4,-2,-1,-5,-3]=>[-4,-3,1,2,-5]
[-4,2,1,5,3]=>[4,3,-1,-2,5]
[-4,2,1,5,-3]=>[4,3,1,-2,5]
[-4,2,1,-5,3]=>[4,3,-1,-2,-5]
[-4,2,1,-5,-3]=>[4,3,1,-2,-5]
[-4,2,-1,5,3]=>[-4,3,-1,-2,5]
[-4,2,-1,5,-3]=>[-4,3,1,-2,5]
[-4,2,-1,-5,3]=>[-4,3,-1,-2,-5]
[-4,2,-1,-5,-3]=>[-4,3,1,-2,-5]
[-4,-2,1,5,3]=>[4,-3,-1,-2,5]
[-4,-2,1,5,-3]=>[4,-3,1,-2,5]
[-4,-2,1,-5,3]=>[4,-3,-1,-2,-5]
[-4,-2,1,-5,-3]=>[4,-3,1,-2,-5]
[-4,-2,-1,5,3]=>[-4,-3,-1,-2,5]
[-4,-2,-1,5,-3]=>[-4,-3,1,-2,5]
[-4,-2,-1,-5,3]=>[-4,-3,-1,-2,-5]
[-4,-2,-1,-5,-3]=>[-4,-3,1,-2,-5]
[4,2,3,1,5]=>[5,3,4,2,-1]
[4,2,3,1,-5]=>[5,3,4,2,1]
[4,2,3,-1,5]=>[-5,3,4,2,-1]
[4,2,3,-1,-5]=>[-5,3,4,2,1]
[4,2,-3,1,5]=>[5,3,-4,2,-1]
[4,2,-3,1,-5]=>[5,3,-4,2,1]
[4,2,-3,-1,5]=>[-5,3,-4,2,-1]
[4,2,-3,-1,-5]=>[-5,3,-4,2,1]
[4,-2,3,1,5]=>[5,-3,4,2,-1]
[4,-2,3,1,-5]=>[5,-3,4,2,1]
[4,-2,3,-1,5]=>[-5,-3,4,2,-1]
[4,-2,3,-1,-5]=>[-5,-3,4,2,1]
[4,-2,-3,1,5]=>[5,-3,-4,2,-1]
[4,-2,-3,1,-5]=>[5,-3,-4,2,1]
[4,-2,-3,-1,5]=>[-5,-3,-4,2,-1]
[4,-2,-3,-1,-5]=>[-5,-3,-4,2,1]
[-4,2,3,1,5]=>[5,3,4,-2,-1]
[-4,2,3,1,-5]=>[5,3,4,-2,1]
[-4,2,3,-1,5]=>[-5,3,4,-2,-1]
[-4,2,3,-1,-5]=>[-5,3,4,-2,1]
[-4,2,-3,1,5]=>[5,3,-4,-2,-1]
[-4,2,-3,1,-5]=>[5,3,-4,-2,1]
[-4,2,-3,-1,5]=>[-5,3,-4,-2,-1]
[-4,2,-3,-1,-5]=>[-5,3,-4,-2,1]
[-4,-2,3,1,5]=>[5,-3,4,-2,-1]
[-4,-2,3,1,-5]=>[5,-3,4,-2,1]
[-4,-2,3,-1,5]=>[-5,-3,4,-2,-1]
[-4,-2,3,-1,-5]=>[-5,-3,4,-2,1]
[-4,-2,-3,1,5]=>[5,-3,-4,-2,-1]
[-4,-2,-3,1,-5]=>[5,-3,-4,-2,1]
[-4,-2,-3,-1,5]=>[-5,-3,-4,-2,-1]
[-4,-2,-3,-1,-5]=>[-5,-3,-4,-2,1]
[4,2,3,5,1]=>[-1,3,4,2,5]
[4,2,3,5,-1]=>[1,3,4,2,5]
[4,2,3,-5,1]=>[-1,3,4,2,-5]
[4,2,3,-5,-1]=>[1,3,4,2,-5]
[4,2,-3,5,1]=>[-1,3,-4,2,5]
[4,2,-3,5,-1]=>[1,3,-4,2,5]
[4,2,-3,-5,1]=>[-1,3,-4,2,-5]
[4,2,-3,-5,-1]=>[1,3,-4,2,-5]
[4,-2,3,5,1]=>[-1,-3,4,2,5]
[4,-2,3,5,-1]=>[1,-3,4,2,5]
[4,-2,3,-5,1]=>[-1,-3,4,2,-5]
[4,-2,3,-5,-1]=>[1,-3,4,2,-5]
[4,-2,-3,5,1]=>[-1,-3,-4,2,5]
[4,-2,-3,5,-1]=>[1,-3,-4,2,5]
[4,-2,-3,-5,1]=>[-1,-3,-4,2,-5]
[4,-2,-3,-5,-1]=>[1,-3,-4,2,-5]
[-4,2,3,5,1]=>[-1,3,4,-2,5]
[-4,2,3,5,-1]=>[1,3,4,-2,5]
[-4,2,3,-5,1]=>[-1,3,4,-2,-5]
[-4,2,3,-5,-1]=>[1,3,4,-2,-5]
[-4,2,-3,5,1]=>[-1,3,-4,-2,5]
[-4,2,-3,5,-1]=>[1,3,-4,-2,5]
[-4,2,-3,-5,1]=>[-1,3,-4,-2,-5]
[-4,2,-3,-5,-1]=>[1,3,-4,-2,-5]
[-4,-2,3,5,1]=>[-1,-3,4,-2,5]
[-4,-2,3,5,-1]=>[1,-3,4,-2,5]
[-4,-2,3,-5,1]=>[-1,-3,4,-2,-5]
[-4,-2,3,-5,-1]=>[1,-3,4,-2,-5]
[-4,-2,-3,5,1]=>[-1,-3,-4,-2,5]
[-4,-2,-3,5,-1]=>[1,-3,-4,-2,5]
[-4,-2,-3,-5,1]=>[-1,-3,-4,-2,-5]
[-4,-2,-3,-5,-1]=>[1,-3,-4,-2,-5]
[4,2,5,1,3]=>[5,3,-1,2,4]
[4,2,5,1,-3]=>[5,3,1,2,4]
[4,2,5,-1,3]=>[-5,3,-1,2,4]
[4,2,5,-1,-3]=>[-5,3,1,2,4]
[4,2,-5,1,3]=>[5,3,-1,2,-4]
[4,2,-5,1,-3]=>[5,3,1,2,-4]
[4,2,-5,-1,3]=>[-5,3,-1,2,-4]
[4,2,-5,-1,-3]=>[-5,3,1,2,-4]
[4,-2,5,1,3]=>[5,-3,-1,2,4]
[4,-2,5,1,-3]=>[5,-3,1,2,4]
[4,-2,5,-1,3]=>[-5,-3,-1,2,4]
[4,-2,5,-1,-3]=>[-5,-3,1,2,4]
[4,-2,-5,1,3]=>[5,-3,-1,2,-4]
[4,-2,-5,1,-3]=>[5,-3,1,2,-4]
[4,-2,-5,-1,3]=>[-5,-3,-1,2,-4]
[4,-2,-5,-1,-3]=>[-5,-3,1,2,-4]
[-4,2,5,1,3]=>[5,3,-1,-2,4]
[-4,2,5,1,-3]=>[5,3,1,-2,4]
[-4,2,5,-1,3]=>[-5,3,-1,-2,4]
[-4,2,5,-1,-3]=>[-5,3,1,-2,4]
[-4,2,-5,1,3]=>[5,3,-1,-2,-4]
[-4,2,-5,1,-3]=>[5,3,1,-2,-4]
[-4,2,-5,-1,3]=>[-5,3,-1,-2,-4]
[-4,2,-5,-1,-3]=>[-5,3,1,-2,-4]
[-4,-2,5,1,3]=>[5,-3,-1,-2,4]
[-4,-2,5,1,-3]=>[5,-3,1,-2,4]
[-4,-2,5,-1,3]=>[-5,-3,-1,-2,4]
[-4,-2,5,-1,-3]=>[-5,-3,1,-2,4]
[-4,-2,-5,1,3]=>[5,-3,-1,-2,-4]
[-4,-2,-5,1,-3]=>[5,-3,1,-2,-4]
[-4,-2,-5,-1,3]=>[-5,-3,-1,-2,-4]
[-4,-2,-5,-1,-3]=>[-5,-3,1,-2,-4]
[4,2,5,3,1]=>[-1,3,5,2,4]
[4,2,5,3,-1]=>[1,3,5,2,4]
[4,2,5,-3,1]=>[-1,3,-5,2,4]
[4,2,5,-3,-1]=>[1,3,-5,2,4]
[4,2,-5,3,1]=>[-1,3,5,2,-4]
[4,2,-5,3,-1]=>[1,3,5,2,-4]
[4,2,-5,-3,1]=>[-1,3,-5,2,-4]
[4,2,-5,-3,-1]=>[1,3,-5,2,-4]
[4,-2,5,3,1]=>[-1,-3,5,2,4]
[4,-2,5,3,-1]=>[1,-3,5,2,4]
[4,-2,5,-3,1]=>[-1,-3,-5,2,4]
[4,-2,5,-3,-1]=>[1,-3,-5,2,4]
[4,-2,-5,3,1]=>[-1,-3,5,2,-4]
[4,-2,-5,3,-1]=>[1,-3,5,2,-4]
[4,-2,-5,-3,1]=>[-1,-3,-5,2,-4]
[4,-2,-5,-3,-1]=>[1,-3,-5,2,-4]
[-4,2,5,3,1]=>[-1,3,5,-2,4]
[-4,2,5,3,-1]=>[1,3,5,-2,4]
[-4,2,5,-3,1]=>[-1,3,-5,-2,4]
[-4,2,5,-3,-1]=>[1,3,-5,-2,4]
[-4,2,-5,3,1]=>[-1,3,5,-2,-4]
[-4,2,-5,3,-1]=>[1,3,5,-2,-4]
[-4,2,-5,-3,1]=>[-1,3,-5,-2,-4]
[-4,2,-5,-3,-1]=>[1,3,-5,-2,-4]
[-4,-2,5,3,1]=>[-1,-3,5,-2,4]
[-4,-2,5,3,-1]=>[1,-3,5,-2,4]
[-4,-2,5,-3,1]=>[-1,-3,-5,-2,4]
[-4,-2,5,-3,-1]=>[1,-3,-5,-2,4]
[-4,-2,-5,3,1]=>[-1,-3,5,-2,-4]
[-4,-2,-5,3,-1]=>[1,-3,5,-2,-4]
[-4,-2,-5,-3,1]=>[-1,-3,-5,-2,-4]
[-4,-2,-5,-3,-1]=>[1,-3,-5,-2,-4]
[4,3,1,2,5]=>[4,5,3,2,-1]
[4,3,1,2,-5]=>[4,5,3,2,1]
[4,3,1,-2,5]=>[4,-5,3,2,-1]
[4,3,1,-2,-5]=>[4,-5,3,2,1]
[4,3,-1,2,5]=>[-4,5,3,2,-1]
[4,3,-1,2,-5]=>[-4,5,3,2,1]
[4,3,-1,-2,5]=>[-4,-5,3,2,-1]
[4,3,-1,-2,-5]=>[-4,-5,3,2,1]
[4,-3,1,2,5]=>[4,5,-3,2,-1]
[4,-3,1,2,-5]=>[4,5,-3,2,1]
[4,-3,1,-2,5]=>[4,-5,-3,2,-1]
[4,-3,1,-2,-5]=>[4,-5,-3,2,1]
[4,-3,-1,2,5]=>[-4,5,-3,2,-1]
[4,-3,-1,2,-5]=>[-4,5,-3,2,1]
[4,-3,-1,-2,5]=>[-4,-5,-3,2,-1]
[4,-3,-1,-2,-5]=>[-4,-5,-3,2,1]
[-4,3,1,2,5]=>[4,5,3,-2,-1]
[-4,3,1,2,-5]=>[4,5,3,-2,1]
[-4,3,1,-2,5]=>[4,-5,3,-2,-1]
[-4,3,1,-2,-5]=>[4,-5,3,-2,1]
[-4,3,-1,2,5]=>[-4,5,3,-2,-1]
[-4,3,-1,2,-5]=>[-4,5,3,-2,1]
[-4,3,-1,-2,5]=>[-4,-5,3,-2,-1]
[-4,3,-1,-2,-5]=>[-4,-5,3,-2,1]
[-4,-3,1,2,5]=>[4,5,-3,-2,-1]
[-4,-3,1,2,-5]=>[4,5,-3,-2,1]
[-4,-3,1,-2,5]=>[4,-5,-3,-2,-1]
[-4,-3,1,-2,-5]=>[4,-5,-3,-2,1]
[-4,-3,-1,2,5]=>[-4,5,-3,-2,-1]
[-4,-3,-1,2,-5]=>[-4,5,-3,-2,1]
[-4,-3,-1,-2,5]=>[-4,-5,-3,-2,-1]
[-4,-3,-1,-2,-5]=>[-4,-5,-3,-2,1]
[4,3,1,5,2]=>[4,-1,3,2,5]
[4,3,1,5,-2]=>[4,1,3,2,5]
[4,3,1,-5,2]=>[4,-1,3,2,-5]
[4,3,1,-5,-2]=>[4,1,3,2,-5]
[4,3,-1,5,2]=>[-4,-1,3,2,5]
[4,3,-1,5,-2]=>[-4,1,3,2,5]
[4,3,-1,-5,2]=>[-4,-1,3,2,-5]
[4,3,-1,-5,-2]=>[-4,1,3,2,-5]
[4,-3,1,5,2]=>[4,-1,-3,2,5]
[4,-3,1,5,-2]=>[4,1,-3,2,5]
[4,-3,1,-5,2]=>[4,-1,-3,2,-5]
[4,-3,1,-5,-2]=>[4,1,-3,2,-5]
[4,-3,-1,5,2]=>[-4,-1,-3,2,5]
[4,-3,-1,5,-2]=>[-4,1,-3,2,5]
[4,-3,-1,-5,2]=>[-4,-1,-3,2,-5]
[4,-3,-1,-5,-2]=>[-4,1,-3,2,-5]
[-4,3,1,5,2]=>[4,-1,3,-2,5]
[-4,3,1,5,-2]=>[4,1,3,-2,5]
[-4,3,1,-5,2]=>[4,-1,3,-2,-5]
[-4,3,1,-5,-2]=>[4,1,3,-2,-5]
[-4,3,-1,5,2]=>[-4,-1,3,-2,5]
[-4,3,-1,5,-2]=>[-4,1,3,-2,5]
[-4,3,-1,-5,2]=>[-4,-1,3,-2,-5]
[-4,3,-1,-5,-2]=>[-4,1,3,-2,-5]
[-4,-3,1,5,2]=>[4,-1,-3,-2,5]
[-4,-3,1,5,-2]=>[4,1,-3,-2,5]
[-4,-3,1,-5,2]=>[4,-1,-3,-2,-5]
[-4,-3,1,-5,-2]=>[4,1,-3,-2,-5]
[-4,-3,-1,5,2]=>[-4,-1,-3,-2,5]
[-4,-3,-1,5,-2]=>[-4,1,-3,-2,5]
[-4,-3,-1,-5,2]=>[-4,-1,-3,-2,-5]
[-4,-3,-1,-5,-2]=>[-4,1,-3,-2,-5]
[4,3,2,1,5]=>[5,4,3,2,-1]
[4,3,2,1,-5]=>[5,4,3,2,1]
[4,3,2,-1,5]=>[-5,4,3,2,-1]
[4,3,2,-1,-5]=>[-5,4,3,2,1]
[4,3,-2,1,5]=>[5,-4,3,2,-1]
[4,3,-2,1,-5]=>[5,-4,3,2,1]
[4,3,-2,-1,5]=>[-5,-4,3,2,-1]
[4,3,-2,-1,-5]=>[-5,-4,3,2,1]
[4,-3,2,1,5]=>[5,4,-3,2,-1]
[4,-3,2,1,-5]=>[5,4,-3,2,1]
[4,-3,2,-1,5]=>[-5,4,-3,2,-1]
[4,-3,2,-1,-5]=>[-5,4,-3,2,1]
[4,-3,-2,1,5]=>[5,-4,-3,2,-1]
[4,-3,-2,1,-5]=>[5,-4,-3,2,1]
[4,-3,-2,-1,5]=>[-5,-4,-3,2,-1]
[4,-3,-2,-1,-5]=>[-5,-4,-3,2,1]
[-4,3,2,1,5]=>[5,4,3,-2,-1]
[-4,3,2,1,-5]=>[5,4,3,-2,1]
[-4,3,2,-1,5]=>[-5,4,3,-2,-1]
[-4,3,2,-1,-5]=>[-5,4,3,-2,1]
[-4,3,-2,1,5]=>[5,-4,3,-2,-1]
[-4,3,-2,1,-5]=>[5,-4,3,-2,1]
[-4,3,-2,-1,5]=>[-5,-4,3,-2,-1]
[-4,3,-2,-1,-5]=>[-5,-4,3,-2,1]
[-4,-3,2,1,5]=>[5,4,-3,-2,-1]
[-4,-3,2,1,-5]=>[5,4,-3,-2,1]
[-4,-3,2,-1,5]=>[-5,4,-3,-2,-1]
[-4,-3,2,-1,-5]=>[-5,4,-3,-2,1]
[-4,-3,-2,1,5]=>[5,-4,-3,-2,-1]
[-4,-3,-2,1,-5]=>[5,-4,-3,-2,1]
[-4,-3,-2,-1,5]=>[-5,-4,-3,-2,-1]
[-4,-3,-2,-1,-5]=>[-5,-4,-3,-2,1]
[4,3,2,5,1]=>[-1,4,3,2,5]
[4,3,2,5,-1]=>[1,4,3,2,5]
[4,3,2,-5,1]=>[-1,4,3,2,-5]
[4,3,2,-5,-1]=>[1,4,3,2,-5]
[4,3,-2,5,1]=>[-1,-4,3,2,5]
[4,3,-2,5,-1]=>[1,-4,3,2,5]
[4,3,-2,-5,1]=>[-1,-4,3,2,-5]
[4,3,-2,-5,-1]=>[1,-4,3,2,-5]
[4,-3,2,5,1]=>[-1,4,-3,2,5]
[4,-3,2,5,-1]=>[1,4,-3,2,5]
[4,-3,2,-5,1]=>[-1,4,-3,2,-5]
[4,-3,2,-5,-1]=>[1,4,-3,2,-5]
[4,-3,-2,5,1]=>[-1,-4,-3,2,5]
[4,-3,-2,5,-1]=>[1,-4,-3,2,5]
[4,-3,-2,-5,1]=>[-1,-4,-3,2,-5]
[4,-3,-2,-5,-1]=>[1,-4,-3,2,-5]
[-4,3,2,5,1]=>[-1,4,3,-2,5]
[-4,3,2,5,-1]=>[1,4,3,-2,5]
[-4,3,2,-5,1]=>[-1,4,3,-2,-5]
[-4,3,2,-5,-1]=>[1,4,3,-2,-5]
[-4,3,-2,5,1]=>[-1,-4,3,-2,5]
[-4,3,-2,5,-1]=>[1,-4,3,-2,5]
[-4,3,-2,-5,1]=>[-1,-4,3,-2,-5]
[-4,3,-2,-5,-1]=>[1,-4,3,-2,-5]
[-4,-3,2,5,1]=>[-1,4,-3,-2,5]
[-4,-3,2,5,-1]=>[1,4,-3,-2,5]
[-4,-3,2,-5,1]=>[-1,4,-3,-2,-5]
[-4,-3,2,-5,-1]=>[1,4,-3,-2,-5]
[-4,-3,-2,5,1]=>[-1,-4,-3,-2,5]
[-4,-3,-2,5,-1]=>[1,-4,-3,-2,5]
[-4,-3,-2,-5,1]=>[-1,-4,-3,-2,-5]
[-4,-3,-2,-5,-1]=>[1,-4,-3,-2,-5]
[4,3,5,1,2]=>[5,-1,3,2,4]
[4,3,5,1,-2]=>[5,1,3,2,4]
[4,3,5,-1,2]=>[-5,-1,3,2,4]
[4,3,5,-1,-2]=>[-5,1,3,2,4]
[4,3,-5,1,2]=>[5,-1,3,2,-4]
[4,3,-5,1,-2]=>[5,1,3,2,-4]
[4,3,-5,-1,2]=>[-5,-1,3,2,-4]
[4,3,-5,-1,-2]=>[-5,1,3,2,-4]
[4,-3,5,1,2]=>[5,-1,-3,2,4]
[4,-3,5,1,-2]=>[5,1,-3,2,4]
[4,-3,5,-1,2]=>[-5,-1,-3,2,4]
[4,-3,5,-1,-2]=>[-5,1,-3,2,4]
[4,-3,-5,1,2]=>[5,-1,-3,2,-4]
[4,-3,-5,1,-2]=>[5,1,-3,2,-4]
[4,-3,-5,-1,2]=>[-5,-1,-3,2,-4]
[4,-3,-5,-1,-2]=>[-5,1,-3,2,-4]
[-4,3,5,1,2]=>[5,-1,3,-2,4]
[-4,3,5,1,-2]=>[5,1,3,-2,4]
[-4,3,5,-1,2]=>[-5,-1,3,-2,4]
[-4,3,5,-1,-2]=>[-5,1,3,-2,4]
[-4,3,-5,1,2]=>[5,-1,3,-2,-4]
[-4,3,-5,1,-2]=>[5,1,3,-2,-4]
[-4,3,-5,-1,2]=>[-5,-1,3,-2,-4]
[-4,3,-5,-1,-2]=>[-5,1,3,-2,-4]
[-4,-3,5,1,2]=>[5,-1,-3,-2,4]
[-4,-3,5,1,-2]=>[5,1,-3,-2,4]
[-4,-3,5,-1,2]=>[-5,-1,-3,-2,4]
[-4,-3,5,-1,-2]=>[-5,1,-3,-2,4]
[-4,-3,-5,1,2]=>[5,-1,-3,-2,-4]
[-4,-3,-5,1,-2]=>[5,1,-3,-2,-4]
[-4,-3,-5,-1,2]=>[-5,-1,-3,-2,-4]
[-4,-3,-5,-1,-2]=>[-5,1,-3,-2,-4]
[4,3,5,2,1]=>[-1,5,3,2,4]
[4,3,5,2,-1]=>[1,5,3,2,4]
[4,3,5,-2,1]=>[-1,-5,3,2,4]
[4,3,5,-2,-1]=>[1,-5,3,2,4]
[4,3,-5,2,1]=>[-1,5,3,2,-4]
[4,3,-5,2,-1]=>[1,5,3,2,-4]
[4,3,-5,-2,1]=>[-1,-5,3,2,-4]
[4,3,-5,-2,-1]=>[1,-5,3,2,-4]
[4,-3,5,2,1]=>[-1,5,-3,2,4]
[4,-3,5,2,-1]=>[1,5,-3,2,4]
[4,-3,5,-2,1]=>[-1,-5,-3,2,4]
[4,-3,5,-2,-1]=>[1,-5,-3,2,4]
[4,-3,-5,2,1]=>[-1,5,-3,2,-4]
[4,-3,-5,2,-1]=>[1,5,-3,2,-4]
[4,-3,-5,-2,1]=>[-1,-5,-3,2,-4]
[4,-3,-5,-2,-1]=>[1,-5,-3,2,-4]
[-4,3,5,2,1]=>[-1,5,3,-2,4]
[-4,3,5,2,-1]=>[1,5,3,-2,4]
[-4,3,5,-2,1]=>[-1,-5,3,-2,4]
[-4,3,5,-2,-1]=>[1,-5,3,-2,4]
[-4,3,-5,2,1]=>[-1,5,3,-2,-4]
[-4,3,-5,2,-1]=>[1,5,3,-2,-4]
[-4,3,-5,-2,1]=>[-1,-5,3,-2,-4]
[-4,3,-5,-2,-1]=>[1,-5,3,-2,-4]
[-4,-3,5,2,1]=>[-1,5,-3,-2,4]
[-4,-3,5,2,-1]=>[1,5,-3,-2,4]
[-4,-3,5,-2,1]=>[-1,-5,-3,-2,4]
[-4,-3,5,-2,-1]=>[1,-5,-3,-2,4]
[-4,-3,-5,2,1]=>[-1,5,-3,-2,-4]
[-4,-3,-5,2,-1]=>[1,5,-3,-2,-4]
[-4,-3,-5,-2,1]=>[-1,-5,-3,-2,-4]
[-4,-3,-5,-2,-1]=>[1,-5,-3,-2,-4]
[4,5,1,2,3]=>[4,5,-1,2,3]
[4,5,1,2,-3]=>[4,5,1,2,3]
[4,5,1,-2,3]=>[4,-5,-1,2,3]
[4,5,1,-2,-3]=>[4,-5,1,2,3]
[4,5,-1,2,3]=>[-4,5,-1,2,3]
[4,5,-1,2,-3]=>[-4,5,1,2,3]
[4,5,-1,-2,3]=>[-4,-5,-1,2,3]
[4,5,-1,-2,-3]=>[-4,-5,1,2,3]
[4,-5,1,2,3]=>[4,5,-1,2,-3]
[4,-5,1,2,-3]=>[4,5,1,2,-3]
[4,-5,1,-2,3]=>[4,-5,-1,2,-3]
[4,-5,1,-2,-3]=>[4,-5,1,2,-3]
[4,-5,-1,2,3]=>[-4,5,-1,2,-3]
[4,-5,-1,2,-3]=>[-4,5,1,2,-3]
[4,-5,-1,-2,3]=>[-4,-5,-1,2,-3]
[4,-5,-1,-2,-3]=>[-4,-5,1,2,-3]
[-4,5,1,2,3]=>[4,5,-1,-2,3]
[-4,5,1,2,-3]=>[4,5,1,-2,3]
[-4,5,1,-2,3]=>[4,-5,-1,-2,3]
[-4,5,1,-2,-3]=>[4,-5,1,-2,3]
[-4,5,-1,2,3]=>[-4,5,-1,-2,3]
[-4,5,-1,2,-3]=>[-4,5,1,-2,3]
[-4,5,-1,-2,3]=>[-4,-5,-1,-2,3]
[-4,5,-1,-2,-3]=>[-4,-5,1,-2,3]
[-4,-5,1,2,3]=>[4,5,-1,-2,-3]
[-4,-5,1,2,-3]=>[4,5,1,-2,-3]
[-4,-5,1,-2,3]=>[4,-5,-1,-2,-3]
[-4,-5,1,-2,-3]=>[4,-5,1,-2,-3]
[-4,-5,-1,2,3]=>[-4,5,-1,-2,-3]
[-4,-5,-1,2,-3]=>[-4,5,1,-2,-3]
[-4,-5,-1,-2,3]=>[-4,-5,-1,-2,-3]
[-4,-5,-1,-2,-3]=>[-4,-5,1,-2,-3]
[4,5,1,3,2]=>[4,-1,5,2,3]
[4,5,1,3,-2]=>[4,1,5,2,3]
[4,5,1,-3,2]=>[4,-1,-5,2,3]
[4,5,1,-3,-2]=>[4,1,-5,2,3]
[4,5,-1,3,2]=>[-4,-1,5,2,3]
[4,5,-1,3,-2]=>[-4,1,5,2,3]
[4,5,-1,-3,2]=>[-4,-1,-5,2,3]
[4,5,-1,-3,-2]=>[-4,1,-5,2,3]
[4,-5,1,3,2]=>[4,-1,5,2,-3]
[4,-5,1,3,-2]=>[4,1,5,2,-3]
[4,-5,1,-3,2]=>[4,-1,-5,2,-3]
[4,-5,1,-3,-2]=>[4,1,-5,2,-3]
[4,-5,-1,3,2]=>[-4,-1,5,2,-3]
[4,-5,-1,3,-2]=>[-4,1,5,2,-3]
[4,-5,-1,-3,2]=>[-4,-1,-5,2,-3]
[4,-5,-1,-3,-2]=>[-4,1,-5,2,-3]
[-4,5,1,3,2]=>[4,-1,5,-2,3]
[-4,5,1,3,-2]=>[4,1,5,-2,3]
[-4,5,1,-3,2]=>[4,-1,-5,-2,3]
[-4,5,1,-3,-2]=>[4,1,-5,-2,3]
[-4,5,-1,3,2]=>[-4,-1,5,-2,3]
[-4,5,-1,3,-2]=>[-4,1,5,-2,3]
[-4,5,-1,-3,2]=>[-4,-1,-5,-2,3]
[-4,5,-1,-3,-2]=>[-4,1,-5,-2,3]
[-4,-5,1,3,2]=>[4,-1,5,-2,-3]
[-4,-5,1,3,-2]=>[4,1,5,-2,-3]
[-4,-5,1,-3,2]=>[4,-1,-5,-2,-3]
[-4,-5,1,-3,-2]=>[4,1,-5,-2,-3]
[-4,-5,-1,3,2]=>[-4,-1,5,-2,-3]
[-4,-5,-1,3,-2]=>[-4,1,5,-2,-3]
[-4,-5,-1,-3,2]=>[-4,-1,-5,-2,-3]
[-4,-5,-1,-3,-2]=>[-4,1,-5,-2,-3]
[4,5,2,1,3]=>[5,4,-1,2,3]
[4,5,2,1,-3]=>[5,4,1,2,3]
[4,5,2,-1,3]=>[-5,4,-1,2,3]
[4,5,2,-1,-3]=>[-5,4,1,2,3]
[4,5,-2,1,3]=>[5,-4,-1,2,3]
[4,5,-2,1,-3]=>[5,-4,1,2,3]
[4,5,-2,-1,3]=>[-5,-4,-1,2,3]
[4,5,-2,-1,-3]=>[-5,-4,1,2,3]
[4,-5,2,1,3]=>[5,4,-1,2,-3]
[4,-5,2,1,-3]=>[5,4,1,2,-3]
[4,-5,2,-1,3]=>[-5,4,-1,2,-3]
[4,-5,2,-1,-3]=>[-5,4,1,2,-3]
[4,-5,-2,1,3]=>[5,-4,-1,2,-3]
[4,-5,-2,1,-3]=>[5,-4,1,2,-3]
[4,-5,-2,-1,3]=>[-5,-4,-1,2,-3]
[4,-5,-2,-1,-3]=>[-5,-4,1,2,-3]
[-4,5,2,1,3]=>[5,4,-1,-2,3]
[-4,5,2,1,-3]=>[5,4,1,-2,3]
[-4,5,2,-1,3]=>[-5,4,-1,-2,3]
[-4,5,2,-1,-3]=>[-5,4,1,-2,3]
[-4,5,-2,1,3]=>[5,-4,-1,-2,3]
[-4,5,-2,1,-3]=>[5,-4,1,-2,3]
[-4,5,-2,-1,3]=>[-5,-4,-1,-2,3]
[-4,5,-2,-1,-3]=>[-5,-4,1,-2,3]
[-4,-5,2,1,3]=>[5,4,-1,-2,-3]
[-4,-5,2,1,-3]=>[5,4,1,-2,-3]
[-4,-5,2,-1,3]=>[-5,4,-1,-2,-3]
[-4,-5,2,-1,-3]=>[-5,4,1,-2,-3]
[-4,-5,-2,1,3]=>[5,-4,-1,-2,-3]
[-4,-5,-2,1,-3]=>[5,-4,1,-2,-3]
[-4,-5,-2,-1,3]=>[-5,-4,-1,-2,-3]
[-4,-5,-2,-1,-3]=>[-5,-4,1,-2,-3]
[4,5,2,3,1]=>[-1,4,5,2,3]
[4,5,2,3,-1]=>[1,4,5,2,3]
[4,5,2,-3,1]=>[-1,4,-5,2,3]
[4,5,2,-3,-1]=>[1,4,-5,2,3]
[4,5,-2,3,1]=>[-1,-4,5,2,3]
[4,5,-2,3,-1]=>[1,-4,5,2,3]
[4,5,-2,-3,1]=>[-1,-4,-5,2,3]
[4,5,-2,-3,-1]=>[1,-4,-5,2,3]
[4,-5,2,3,1]=>[-1,4,5,2,-3]
[4,-5,2,3,-1]=>[1,4,5,2,-3]
[4,-5,2,-3,1]=>[-1,4,-5,2,-3]
[4,-5,2,-3,-1]=>[1,4,-5,2,-3]
[4,-5,-2,3,1]=>[-1,-4,5,2,-3]
[4,-5,-2,3,-1]=>[1,-4,5,2,-3]
[4,-5,-2,-3,1]=>[-1,-4,-5,2,-3]
[4,-5,-2,-3,-1]=>[1,-4,-5,2,-3]
[-4,5,2,3,1]=>[-1,4,5,-2,3]
[-4,5,2,3,-1]=>[1,4,5,-2,3]
[-4,5,2,-3,1]=>[-1,4,-5,-2,3]
[-4,5,2,-3,-1]=>[1,4,-5,-2,3]
[-4,5,-2,3,1]=>[-1,-4,5,-2,3]
[-4,5,-2,3,-1]=>[1,-4,5,-2,3]
[-4,5,-2,-3,1]=>[-1,-4,-5,-2,3]
[-4,5,-2,-3,-1]=>[1,-4,-5,-2,3]
[-4,-5,2,3,1]=>[-1,4,5,-2,-3]
[-4,-5,2,3,-1]=>[1,4,5,-2,-3]
[-4,-5,2,-3,1]=>[-1,4,-5,-2,-3]
[-4,-5,2,-3,-1]=>[1,4,-5,-2,-3]
[-4,-5,-2,3,1]=>[-1,-4,5,-2,-3]
[-4,-5,-2,3,-1]=>[1,-4,5,-2,-3]
[-4,-5,-2,-3,1]=>[-1,-4,-5,-2,-3]
[-4,-5,-2,-3,-1]=>[1,-4,-5,-2,-3]
[4,5,3,1,2]=>[5,-1,4,2,3]
[4,5,3,1,-2]=>[5,1,4,2,3]
[4,5,3,-1,2]=>[-5,-1,4,2,3]
[4,5,3,-1,-2]=>[-5,1,4,2,3]
[4,5,-3,1,2]=>[5,-1,-4,2,3]
[4,5,-3,1,-2]=>[5,1,-4,2,3]
[4,5,-3,-1,2]=>[-5,-1,-4,2,3]
[4,5,-3,-1,-2]=>[-5,1,-4,2,3]
[4,-5,3,1,2]=>[5,-1,4,2,-3]
[4,-5,3,1,-2]=>[5,1,4,2,-3]
[4,-5,3,-1,2]=>[-5,-1,4,2,-3]
[4,-5,3,-1,-2]=>[-5,1,4,2,-3]
[4,-5,-3,1,2]=>[5,-1,-4,2,-3]
[4,-5,-3,1,-2]=>[5,1,-4,2,-3]
[4,-5,-3,-1,2]=>[-5,-1,-4,2,-3]
[4,-5,-3,-1,-2]=>[-5,1,-4,2,-3]
[-4,5,3,1,2]=>[5,-1,4,-2,3]
[-4,5,3,1,-2]=>[5,1,4,-2,3]
[-4,5,3,-1,2]=>[-5,-1,4,-2,3]
[-4,5,3,-1,-2]=>[-5,1,4,-2,3]
[-4,5,-3,1,2]=>[5,-1,-4,-2,3]
[-4,5,-3,1,-2]=>[5,1,-4,-2,3]
[-4,5,-3,-1,2]=>[-5,-1,-4,-2,3]
[-4,5,-3,-1,-2]=>[-5,1,-4,-2,3]
[-4,-5,3,1,2]=>[5,-1,4,-2,-3]
[-4,-5,3,1,-2]=>[5,1,4,-2,-3]
[-4,-5,3,-1,2]=>[-5,-1,4,-2,-3]
[-4,-5,3,-1,-2]=>[-5,1,4,-2,-3]
[-4,-5,-3,1,2]=>[5,-1,-4,-2,-3]
[-4,-5,-3,1,-2]=>[5,1,-4,-2,-3]
[-4,-5,-3,-1,2]=>[-5,-1,-4,-2,-3]
[-4,-5,-3,-1,-2]=>[-5,1,-4,-2,-3]
[4,5,3,2,1]=>[-1,5,4,2,3]
[4,5,3,2,-1]=>[1,5,4,2,3]
[4,5,3,-2,1]=>[-1,-5,4,2,3]
[4,5,3,-2,-1]=>[1,-5,4,2,3]
[4,5,-3,2,1]=>[-1,5,-4,2,3]
[4,5,-3,2,-1]=>[1,5,-4,2,3]
[4,5,-3,-2,1]=>[-1,-5,-4,2,3]
[4,5,-3,-2,-1]=>[1,-5,-4,2,3]
[4,-5,3,2,1]=>[-1,5,4,2,-3]
[4,-5,3,2,-1]=>[1,5,4,2,-3]
[4,-5,3,-2,1]=>[-1,-5,4,2,-3]
[4,-5,3,-2,-1]=>[1,-5,4,2,-3]
[4,-5,-3,2,1]=>[-1,5,-4,2,-3]
[4,-5,-3,2,-1]=>[1,5,-4,2,-3]
[4,-5,-3,-2,1]=>[-1,-5,-4,2,-3]
[4,-5,-3,-2,-1]=>[1,-5,-4,2,-3]
[-4,5,3,2,1]=>[-1,5,4,-2,3]
[-4,5,3,2,-1]=>[1,5,4,-2,3]
[-4,5,3,-2,1]=>[-1,-5,4,-2,3]
[-4,5,3,-2,-1]=>[1,-5,4,-2,3]
[-4,5,-3,2,1]=>[-1,5,-4,-2,3]
[-4,5,-3,2,-1]=>[1,5,-4,-2,3]
[-4,5,-3,-2,1]=>[-1,-5,-4,-2,3]
[-4,5,-3,-2,-1]=>[1,-5,-4,-2,3]
[-4,-5,3,2,1]=>[-1,5,4,-2,-3]
[-4,-5,3,2,-1]=>[1,5,4,-2,-3]
[-4,-5,3,-2,1]=>[-1,-5,4,-2,-3]
[-4,-5,3,-2,-1]=>[1,-5,4,-2,-3]
[-4,-5,-3,2,1]=>[-1,5,-4,-2,-3]
[-4,-5,-3,2,-1]=>[1,5,-4,-2,-3]
[-4,-5,-3,-2,1]=>[-1,-5,-4,-2,-3]
[-4,-5,-3,-2,-1]=>[1,-5,-4,-2,-3]
[5,1,2,3,4]=>[3,4,5,-1,2]
[5,1,2,3,-4]=>[3,4,5,1,2]
[5,1,2,-3,4]=>[3,4,-5,-1,2]
[5,1,2,-3,-4]=>[3,4,-5,1,2]
[5,1,-2,3,4]=>[3,-4,5,-1,2]
[5,1,-2,3,-4]=>[3,-4,5,1,2]
[5,1,-2,-3,4]=>[3,-4,-5,-1,2]
[5,1,-2,-3,-4]=>[3,-4,-5,1,2]
[5,-1,2,3,4]=>[-3,4,5,-1,2]
[5,-1,2,3,-4]=>[-3,4,5,1,2]
[5,-1,2,-3,4]=>[-3,4,-5,-1,2]
[5,-1,2,-3,-4]=>[-3,4,-5,1,2]
[5,-1,-2,3,4]=>[-3,-4,5,-1,2]
[5,-1,-2,3,-4]=>[-3,-4,5,1,2]
[5,-1,-2,-3,4]=>[-3,-4,-5,-1,2]
[5,-1,-2,-3,-4]=>[-3,-4,-5,1,2]
[-5,1,2,3,4]=>[3,4,5,-1,-2]
[-5,1,2,3,-4]=>[3,4,5,1,-2]
[-5,1,2,-3,4]=>[3,4,-5,-1,-2]
[-5,1,2,-3,-4]=>[3,4,-5,1,-2]
[-5,1,-2,3,4]=>[3,-4,5,-1,-2]
[-5,1,-2,3,-4]=>[3,-4,5,1,-2]
[-5,1,-2,-3,4]=>[3,-4,-5,-1,-2]
[-5,1,-2,-3,-4]=>[3,-4,-5,1,-2]
[-5,-1,2,3,4]=>[-3,4,5,-1,-2]
[-5,-1,2,3,-4]=>[-3,4,5,1,-2]
[-5,-1,2,-3,4]=>[-3,4,-5,-1,-2]
[-5,-1,2,-3,-4]=>[-3,4,-5,1,-2]
[-5,-1,-2,3,4]=>[-3,-4,5,-1,-2]
[-5,-1,-2,3,-4]=>[-3,-4,5,1,-2]
[-5,-1,-2,-3,4]=>[-3,-4,-5,-1,-2]
[-5,-1,-2,-3,-4]=>[-3,-4,-5,1,-2]
[5,1,2,4,3]=>[3,4,-1,5,2]
[5,1,2,4,-3]=>[3,4,1,5,2]
[5,1,2,-4,3]=>[3,4,-1,-5,2]
[5,1,2,-4,-3]=>[3,4,1,-5,2]
[5,1,-2,4,3]=>[3,-4,-1,5,2]
[5,1,-2,4,-3]=>[3,-4,1,5,2]
[5,1,-2,-4,3]=>[3,-4,-1,-5,2]
[5,1,-2,-4,-3]=>[3,-4,1,-5,2]
[5,-1,2,4,3]=>[-3,4,-1,5,2]
[5,-1,2,4,-3]=>[-3,4,1,5,2]
[5,-1,2,-4,3]=>[-3,4,-1,-5,2]
[5,-1,2,-4,-3]=>[-3,4,1,-5,2]
[5,-1,-2,4,3]=>[-3,-4,-1,5,2]
[5,-1,-2,4,-3]=>[-3,-4,1,5,2]
[5,-1,-2,-4,3]=>[-3,-4,-1,-5,2]
[5,-1,-2,-4,-3]=>[-3,-4,1,-5,2]
[-5,1,2,4,3]=>[3,4,-1,5,-2]
[-5,1,2,4,-3]=>[3,4,1,5,-2]
[-5,1,2,-4,3]=>[3,4,-1,-5,-2]
[-5,1,2,-4,-3]=>[3,4,1,-5,-2]
[-5,1,-2,4,3]=>[3,-4,-1,5,-2]
[-5,1,-2,4,-3]=>[3,-4,1,5,-2]
[-5,1,-2,-4,3]=>[3,-4,-1,-5,-2]
[-5,1,-2,-4,-3]=>[3,-4,1,-5,-2]
[-5,-1,2,4,3]=>[-3,4,-1,5,-2]
[-5,-1,2,4,-3]=>[-3,4,1,5,-2]
[-5,-1,2,-4,3]=>[-3,4,-1,-5,-2]
[-5,-1,2,-4,-3]=>[-3,4,1,-5,-2]
[-5,-1,-2,4,3]=>[-3,-4,-1,5,-2]
[-5,-1,-2,4,-3]=>[-3,-4,1,5,-2]
[-5,-1,-2,-4,3]=>[-3,-4,-1,-5,-2]
[-5,-1,-2,-4,-3]=>[-3,-4,1,-5,-2]
[5,1,3,2,4]=>[3,5,4,-1,2]
[5,1,3,2,-4]=>[3,5,4,1,2]
[5,1,3,-2,4]=>[3,-5,4,-1,2]
[5,1,3,-2,-4]=>[3,-5,4,1,2]
[5,1,-3,2,4]=>[3,5,-4,-1,2]
[5,1,-3,2,-4]=>[3,5,-4,1,2]
[5,1,-3,-2,4]=>[3,-5,-4,-1,2]
[5,1,-3,-2,-4]=>[3,-5,-4,1,2]
[5,-1,3,2,4]=>[-3,5,4,-1,2]
[5,-1,3,2,-4]=>[-3,5,4,1,2]
[5,-1,3,-2,4]=>[-3,-5,4,-1,2]
[5,-1,3,-2,-4]=>[-3,-5,4,1,2]
[5,-1,-3,2,4]=>[-3,5,-4,-1,2]
[5,-1,-3,2,-4]=>[-3,5,-4,1,2]
[5,-1,-3,-2,4]=>[-3,-5,-4,-1,2]
[5,-1,-3,-2,-4]=>[-3,-5,-4,1,2]
[-5,1,3,2,4]=>[3,5,4,-1,-2]
[-5,1,3,2,-4]=>[3,5,4,1,-2]
[-5,1,3,-2,4]=>[3,-5,4,-1,-2]
[-5,1,3,-2,-4]=>[3,-5,4,1,-2]
[-5,1,-3,2,4]=>[3,5,-4,-1,-2]
[-5,1,-3,2,-4]=>[3,5,-4,1,-2]
[-5,1,-3,-2,4]=>[3,-5,-4,-1,-2]
[-5,1,-3,-2,-4]=>[3,-5,-4,1,-2]
[-5,-1,3,2,4]=>[-3,5,4,-1,-2]
[-5,-1,3,2,-4]=>[-3,5,4,1,-2]
[-5,-1,3,-2,4]=>[-3,-5,4,-1,-2]
[-5,-1,3,-2,-4]=>[-3,-5,4,1,-2]
[-5,-1,-3,2,4]=>[-3,5,-4,-1,-2]
[-5,-1,-3,2,-4]=>[-3,5,-4,1,-2]
[-5,-1,-3,-2,4]=>[-3,-5,-4,-1,-2]
[-5,-1,-3,-2,-4]=>[-3,-5,-4,1,-2]
[5,1,3,4,2]=>[3,-1,4,5,2]
[5,1,3,4,-2]=>[3,1,4,5,2]
[5,1,3,-4,2]=>[3,-1,4,-5,2]
[5,1,3,-4,-2]=>[3,1,4,-5,2]
[5,1,-3,4,2]=>[3,-1,-4,5,2]
[5,1,-3,4,-2]=>[3,1,-4,5,2]
[5,1,-3,-4,2]=>[3,-1,-4,-5,2]
[5,1,-3,-4,-2]=>[3,1,-4,-5,2]
[5,-1,3,4,2]=>[-3,-1,4,5,2]
[5,-1,3,4,-2]=>[-3,1,4,5,2]
[5,-1,3,-4,2]=>[-3,-1,4,-5,2]
[5,-1,3,-4,-2]=>[-3,1,4,-5,2]
[5,-1,-3,4,2]=>[-3,-1,-4,5,2]
[5,-1,-3,4,-2]=>[-3,1,-4,5,2]
[5,-1,-3,-4,2]=>[-3,-1,-4,-5,2]
[5,-1,-3,-4,-2]=>[-3,1,-4,-5,2]
[-5,1,3,4,2]=>[3,-1,4,5,-2]
[-5,1,3,4,-2]=>[3,1,4,5,-2]
[-5,1,3,-4,2]=>[3,-1,4,-5,-2]
[-5,1,3,-4,-2]=>[3,1,4,-5,-2]
[-5,1,-3,4,2]=>[3,-1,-4,5,-2]
[-5,1,-3,4,-2]=>[3,1,-4,5,-2]
[-5,1,-3,-4,2]=>[3,-1,-4,-5,-2]
[-5,1,-3,-4,-2]=>[3,1,-4,-5,-2]
[-5,-1,3,4,2]=>[-3,-1,4,5,-2]
[-5,-1,3,4,-2]=>[-3,1,4,5,-2]
[-5,-1,3,-4,2]=>[-3,-1,4,-5,-2]
[-5,-1,3,-4,-2]=>[-3,1,4,-5,-2]
[-5,-1,-3,4,2]=>[-3,-1,-4,5,-2]
[-5,-1,-3,4,-2]=>[-3,1,-4,5,-2]
[-5,-1,-3,-4,2]=>[-3,-1,-4,-5,-2]
[-5,-1,-3,-4,-2]=>[-3,1,-4,-5,-2]
[5,1,4,2,3]=>[3,5,-1,4,2]
[5,1,4,2,-3]=>[3,5,1,4,2]
[5,1,4,-2,3]=>[3,-5,-1,4,2]
[5,1,4,-2,-3]=>[3,-5,1,4,2]
[5,1,-4,2,3]=>[3,5,-1,-4,2]
[5,1,-4,2,-3]=>[3,5,1,-4,2]
[5,1,-4,-2,3]=>[3,-5,-1,-4,2]
[5,1,-4,-2,-3]=>[3,-5,1,-4,2]
[5,-1,4,2,3]=>[-3,5,-1,4,2]
[5,-1,4,2,-3]=>[-3,5,1,4,2]
[5,-1,4,-2,3]=>[-3,-5,-1,4,2]
[5,-1,4,-2,-3]=>[-3,-5,1,4,2]
[5,-1,-4,2,3]=>[-3,5,-1,-4,2]
[5,-1,-4,2,-3]=>[-3,5,1,-4,2]
[5,-1,-4,-2,3]=>[-3,-5,-1,-4,2]
[5,-1,-4,-2,-3]=>[-3,-5,1,-4,2]
[-5,1,4,2,3]=>[3,5,-1,4,-2]
[-5,1,4,2,-3]=>[3,5,1,4,-2]
[-5,1,4,-2,3]=>[3,-5,-1,4,-2]
[-5,1,4,-2,-3]=>[3,-5,1,4,-2]
[-5,1,-4,2,3]=>[3,5,-1,-4,-2]
[-5,1,-4,2,-3]=>[3,5,1,-4,-2]
[-5,1,-4,-2,3]=>[3,-5,-1,-4,-2]
[-5,1,-4,-2,-3]=>[3,-5,1,-4,-2]
[-5,-1,4,2,3]=>[-3,5,-1,4,-2]
[-5,-1,4,2,-3]=>[-3,5,1,4,-2]
[-5,-1,4,-2,3]=>[-3,-5,-1,4,-2]
[-5,-1,4,-2,-3]=>[-3,-5,1,4,-2]
[-5,-1,-4,2,3]=>[-3,5,-1,-4,-2]
[-5,-1,-4,2,-3]=>[-3,5,1,-4,-2]
[-5,-1,-4,-2,3]=>[-3,-5,-1,-4,-2]
[-5,-1,-4,-2,-3]=>[-3,-5,1,-4,-2]
[5,1,4,3,2]=>[3,-1,5,4,2]
[5,1,4,3,-2]=>[3,1,5,4,2]
[5,1,4,-3,2]=>[3,-1,-5,4,2]
[5,1,4,-3,-2]=>[3,1,-5,4,2]
[5,1,-4,3,2]=>[3,-1,5,-4,2]
[5,1,-4,3,-2]=>[3,1,5,-4,2]
[5,1,-4,-3,2]=>[3,-1,-5,-4,2]
[5,1,-4,-3,-2]=>[3,1,-5,-4,2]
[5,-1,4,3,2]=>[-3,-1,5,4,2]
[5,-1,4,3,-2]=>[-3,1,5,4,2]
[5,-1,4,-3,2]=>[-3,-1,-5,4,2]
[5,-1,4,-3,-2]=>[-3,1,-5,4,2]
[5,-1,-4,3,2]=>[-3,-1,5,-4,2]
[5,-1,-4,3,-2]=>[-3,1,5,-4,2]
[5,-1,-4,-3,2]=>[-3,-1,-5,-4,2]
[5,-1,-4,-3,-2]=>[-3,1,-5,-4,2]
[-5,1,4,3,2]=>[3,-1,5,4,-2]
[-5,1,4,3,-2]=>[3,1,5,4,-2]
[-5,1,4,-3,2]=>[3,-1,-5,4,-2]
[-5,1,4,-3,-2]=>[3,1,-5,4,-2]
[-5,1,-4,3,2]=>[3,-1,5,-4,-2]
[-5,1,-4,3,-2]=>[3,1,5,-4,-2]
[-5,1,-4,-3,2]=>[3,-1,-5,-4,-2]
[-5,1,-4,-3,-2]=>[3,1,-5,-4,-2]
[-5,-1,4,3,2]=>[-3,-1,5,4,-2]
[-5,-1,4,3,-2]=>[-3,1,5,4,-2]
[-5,-1,4,-3,2]=>[-3,-1,-5,4,-2]
[-5,-1,4,-3,-2]=>[-3,1,-5,4,-2]
[-5,-1,-4,3,2]=>[-3,-1,5,-4,-2]
[-5,-1,-4,3,-2]=>[-3,1,5,-4,-2]
[-5,-1,-4,-3,2]=>[-3,-1,-5,-4,-2]
[-5,-1,-4,-3,-2]=>[-3,1,-5,-4,-2]
[5,2,1,3,4]=>[4,3,5,-1,2]
[5,2,1,3,-4]=>[4,3,5,1,2]
[5,2,1,-3,4]=>[4,3,-5,-1,2]
[5,2,1,-3,-4]=>[4,3,-5,1,2]
[5,2,-1,3,4]=>[-4,3,5,-1,2]
[5,2,-1,3,-4]=>[-4,3,5,1,2]
[5,2,-1,-3,4]=>[-4,3,-5,-1,2]
[5,2,-1,-3,-4]=>[-4,3,-5,1,2]
[5,-2,1,3,4]=>[4,-3,5,-1,2]
[5,-2,1,3,-4]=>[4,-3,5,1,2]
[5,-2,1,-3,4]=>[4,-3,-5,-1,2]
[5,-2,1,-3,-4]=>[4,-3,-5,1,2]
[5,-2,-1,3,4]=>[-4,-3,5,-1,2]
[5,-2,-1,3,-4]=>[-4,-3,5,1,2]
[5,-2,-1,-3,4]=>[-4,-3,-5,-1,2]
[5,-2,-1,-3,-4]=>[-4,-3,-5,1,2]
[-5,2,1,3,4]=>[4,3,5,-1,-2]
[-5,2,1,3,-4]=>[4,3,5,1,-2]
[-5,2,1,-3,4]=>[4,3,-5,-1,-2]
[-5,2,1,-3,-4]=>[4,3,-5,1,-2]
[-5,2,-1,3,4]=>[-4,3,5,-1,-2]
[-5,2,-1,3,-4]=>[-4,3,5,1,-2]
[-5,2,-1,-3,4]=>[-4,3,-5,-1,-2]
[-5,2,-1,-3,-4]=>[-4,3,-5,1,-2]
[-5,-2,1,3,4]=>[4,-3,5,-1,-2]
[-5,-2,1,3,-4]=>[4,-3,5,1,-2]
[-5,-2,1,-3,4]=>[4,-3,-5,-1,-2]
[-5,-2,1,-3,-4]=>[4,-3,-5,1,-2]
[-5,-2,-1,3,4]=>[-4,-3,5,-1,-2]
[-5,-2,-1,3,-4]=>[-4,-3,5,1,-2]
[-5,-2,-1,-3,4]=>[-4,-3,-5,-1,-2]
[-5,-2,-1,-3,-4]=>[-4,-3,-5,1,-2]
[5,2,1,4,3]=>[4,3,-1,5,2]
[5,2,1,4,-3]=>[4,3,1,5,2]
[5,2,1,-4,3]=>[4,3,-1,-5,2]
[5,2,1,-4,-3]=>[4,3,1,-5,2]
[5,2,-1,4,3]=>[-4,3,-1,5,2]
[5,2,-1,4,-3]=>[-4,3,1,5,2]
[5,2,-1,-4,3]=>[-4,3,-1,-5,2]
[5,2,-1,-4,-3]=>[-4,3,1,-5,2]
[5,-2,1,4,3]=>[4,-3,-1,5,2]
[5,-2,1,4,-3]=>[4,-3,1,5,2]
[5,-2,1,-4,3]=>[4,-3,-1,-5,2]
[5,-2,1,-4,-3]=>[4,-3,1,-5,2]
[5,-2,-1,4,3]=>[-4,-3,-1,5,2]
[5,-2,-1,4,-3]=>[-4,-3,1,5,2]
[5,-2,-1,-4,3]=>[-4,-3,-1,-5,2]
[5,-2,-1,-4,-3]=>[-4,-3,1,-5,2]
[-5,2,1,4,3]=>[4,3,-1,5,-2]
[-5,2,1,4,-3]=>[4,3,1,5,-2]
[-5,2,1,-4,3]=>[4,3,-1,-5,-2]
[-5,2,1,-4,-3]=>[4,3,1,-5,-2]
[-5,2,-1,4,3]=>[-4,3,-1,5,-2]
[-5,2,-1,4,-3]=>[-4,3,1,5,-2]
[-5,2,-1,-4,3]=>[-4,3,-1,-5,-2]
[-5,2,-1,-4,-3]=>[-4,3,1,-5,-2]
[-5,-2,1,4,3]=>[4,-3,-1,5,-2]
[-5,-2,1,4,-3]=>[4,-3,1,5,-2]
[-5,-2,1,-4,3]=>[4,-3,-1,-5,-2]
[-5,-2,1,-4,-3]=>[4,-3,1,-5,-2]
[-5,-2,-1,4,3]=>[-4,-3,-1,5,-2]
[-5,-2,-1,4,-3]=>[-4,-3,1,5,-2]
[-5,-2,-1,-4,3]=>[-4,-3,-1,-5,-2]
[-5,-2,-1,-4,-3]=>[-4,-3,1,-5,-2]
[5,2,3,1,4]=>[5,3,4,-1,2]
[5,2,3,1,-4]=>[5,3,4,1,2]
[5,2,3,-1,4]=>[-5,3,4,-1,2]
[5,2,3,-1,-4]=>[-5,3,4,1,2]
[5,2,-3,1,4]=>[5,3,-4,-1,2]
[5,2,-3,1,-4]=>[5,3,-4,1,2]
[5,2,-3,-1,4]=>[-5,3,-4,-1,2]
[5,2,-3,-1,-4]=>[-5,3,-4,1,2]
[5,-2,3,1,4]=>[5,-3,4,-1,2]
[5,-2,3,1,-4]=>[5,-3,4,1,2]
[5,-2,3,-1,4]=>[-5,-3,4,-1,2]
[5,-2,3,-1,-4]=>[-5,-3,4,1,2]
[5,-2,-3,1,4]=>[5,-3,-4,-1,2]
[5,-2,-3,1,-4]=>[5,-3,-4,1,2]
[5,-2,-3,-1,4]=>[-5,-3,-4,-1,2]
[5,-2,-3,-1,-4]=>[-5,-3,-4,1,2]
[-5,2,3,1,4]=>[5,3,4,-1,-2]
[-5,2,3,1,-4]=>[5,3,4,1,-2]
[-5,2,3,-1,4]=>[-5,3,4,-1,-2]
[-5,2,3,-1,-4]=>[-5,3,4,1,-2]
[-5,2,-3,1,4]=>[5,3,-4,-1,-2]
[-5,2,-3,1,-4]=>[5,3,-4,1,-2]
[-5,2,-3,-1,4]=>[-5,3,-4,-1,-2]
[-5,2,-3,-1,-4]=>[-5,3,-4,1,-2]
[-5,-2,3,1,4]=>[5,-3,4,-1,-2]
[-5,-2,3,1,-4]=>[5,-3,4,1,-2]
[-5,-2,3,-1,4]=>[-5,-3,4,-1,-2]
[-5,-2,3,-1,-4]=>[-5,-3,4,1,-2]
[-5,-2,-3,1,4]=>[5,-3,-4,-1,-2]
[-5,-2,-3,1,-4]=>[5,-3,-4,1,-2]
[-5,-2,-3,-1,4]=>[-5,-3,-4,-1,-2]
[-5,-2,-3,-1,-4]=>[-5,-3,-4,1,-2]
[5,2,3,4,1]=>[-1,3,4,5,2]
[5,2,3,4,-1]=>[1,3,4,5,2]
[5,2,3,-4,1]=>[-1,3,4,-5,2]
[5,2,3,-4,-1]=>[1,3,4,-5,2]
[5,2,-3,4,1]=>[-1,3,-4,5,2]
[5,2,-3,4,-1]=>[1,3,-4,5,2]
[5,2,-3,-4,1]=>[-1,3,-4,-5,2]
[5,2,-3,-4,-1]=>[1,3,-4,-5,2]
[5,-2,3,4,1]=>[-1,-3,4,5,2]
[5,-2,3,4,-1]=>[1,-3,4,5,2]
[5,-2,3,-4,1]=>[-1,-3,4,-5,2]
[5,-2,3,-4,-1]=>[1,-3,4,-5,2]
[5,-2,-3,4,1]=>[-1,-3,-4,5,2]
[5,-2,-3,4,-1]=>[1,-3,-4,5,2]
[5,-2,-3,-4,1]=>[-1,-3,-4,-5,2]
[5,-2,-3,-4,-1]=>[1,-3,-4,-5,2]
[-5,2,3,4,1]=>[-1,3,4,5,-2]
[-5,2,3,4,-1]=>[1,3,4,5,-2]
[-5,2,3,-4,1]=>[-1,3,4,-5,-2]
[-5,2,3,-4,-1]=>[1,3,4,-5,-2]
[-5,2,-3,4,1]=>[-1,3,-4,5,-2]
[-5,2,-3,4,-1]=>[1,3,-4,5,-2]
[-5,2,-3,-4,1]=>[-1,3,-4,-5,-2]
[-5,2,-3,-4,-1]=>[1,3,-4,-5,-2]
[-5,-2,3,4,1]=>[-1,-3,4,5,-2]
[-5,-2,3,4,-1]=>[1,-3,4,5,-2]
[-5,-2,3,-4,1]=>[-1,-3,4,-5,-2]
[-5,-2,3,-4,-1]=>[1,-3,4,-5,-2]
[-5,-2,-3,4,1]=>[-1,-3,-4,5,-2]
[-5,-2,-3,4,-1]=>[1,-3,-4,5,-2]
[-5,-2,-3,-4,1]=>[-1,-3,-4,-5,-2]
[-5,-2,-3,-4,-1]=>[1,-3,-4,-5,-2]
[5,2,4,1,3]=>[5,3,-1,4,2]
[5,2,4,1,-3]=>[5,3,1,4,2]
[5,2,4,-1,3]=>[-5,3,-1,4,2]
[5,2,4,-1,-3]=>[-5,3,1,4,2]
[5,2,-4,1,3]=>[5,3,-1,-4,2]
[5,2,-4,1,-3]=>[5,3,1,-4,2]
[5,2,-4,-1,3]=>[-5,3,-1,-4,2]
[5,2,-4,-1,-3]=>[-5,3,1,-4,2]
[5,-2,4,1,3]=>[5,-3,-1,4,2]
[5,-2,4,1,-3]=>[5,-3,1,4,2]
[5,-2,4,-1,3]=>[-5,-3,-1,4,2]
[5,-2,4,-1,-3]=>[-5,-3,1,4,2]
[5,-2,-4,1,3]=>[5,-3,-1,-4,2]
[5,-2,-4,1,-3]=>[5,-3,1,-4,2]
[5,-2,-4,-1,3]=>[-5,-3,-1,-4,2]
[5,-2,-4,-1,-3]=>[-5,-3,1,-4,2]
[-5,2,4,1,3]=>[5,3,-1,4,-2]
[-5,2,4,1,-3]=>[5,3,1,4,-2]
[-5,2,4,-1,3]=>[-5,3,-1,4,-2]
[-5,2,4,-1,-3]=>[-5,3,1,4,-2]
[-5,2,-4,1,3]=>[5,3,-1,-4,-2]
[-5,2,-4,1,-3]=>[5,3,1,-4,-2]
[-5,2,-4,-1,3]=>[-5,3,-1,-4,-2]
[-5,2,-4,-1,-3]=>[-5,3,1,-4,-2]
[-5,-2,4,1,3]=>[5,-3,-1,4,-2]
[-5,-2,4,1,-3]=>[5,-3,1,4,-2]
[-5,-2,4,-1,3]=>[-5,-3,-1,4,-2]
[-5,-2,4,-1,-3]=>[-5,-3,1,4,-2]
[-5,-2,-4,1,3]=>[5,-3,-1,-4,-2]
[-5,-2,-4,1,-3]=>[5,-3,1,-4,-2]
[-5,-2,-4,-1,3]=>[-5,-3,-1,-4,-2]
[-5,-2,-4,-1,-3]=>[-5,-3,1,-4,-2]
[5,2,4,3,1]=>[-1,3,5,4,2]
[5,2,4,3,-1]=>[1,3,5,4,2]
[5,2,4,-3,1]=>[-1,3,-5,4,2]
[5,2,4,-3,-1]=>[1,3,-5,4,2]
[5,2,-4,3,1]=>[-1,3,5,-4,2]
[5,2,-4,3,-1]=>[1,3,5,-4,2]
[5,2,-4,-3,1]=>[-1,3,-5,-4,2]
[5,2,-4,-3,-1]=>[1,3,-5,-4,2]
[5,-2,4,3,1]=>[-1,-3,5,4,2]
[5,-2,4,3,-1]=>[1,-3,5,4,2]
[5,-2,4,-3,1]=>[-1,-3,-5,4,2]
[5,-2,4,-3,-1]=>[1,-3,-5,4,2]
[5,-2,-4,3,1]=>[-1,-3,5,-4,2]
[5,-2,-4,3,-1]=>[1,-3,5,-4,2]
[5,-2,-4,-3,1]=>[-1,-3,-5,-4,2]
[5,-2,-4,-3,-1]=>[1,-3,-5,-4,2]
[-5,2,4,3,1]=>[-1,3,5,4,-2]
[-5,2,4,3,-1]=>[1,3,5,4,-2]
[-5,2,4,-3,1]=>[-1,3,-5,4,-2]
[-5,2,4,-3,-1]=>[1,3,-5,4,-2]
[-5,2,-4,3,1]=>[-1,3,5,-4,-2]
[-5,2,-4,3,-1]=>[1,3,5,-4,-2]
[-5,2,-4,-3,1]=>[-1,3,-5,-4,-2]
[-5,2,-4,-3,-1]=>[1,3,-5,-4,-2]
[-5,-2,4,3,1]=>[-1,-3,5,4,-2]
[-5,-2,4,3,-1]=>[1,-3,5,4,-2]
[-5,-2,4,-3,1]=>[-1,-3,-5,4,-2]
[-5,-2,4,-3,-1]=>[1,-3,-5,4,-2]
[-5,-2,-4,3,1]=>[-1,-3,5,-4,-2]
[-5,-2,-4,3,-1]=>[1,-3,5,-4,-2]
[-5,-2,-4,-3,1]=>[-1,-3,-5,-4,-2]
[-5,-2,-4,-3,-1]=>[1,-3,-5,-4,-2]
[5,3,1,2,4]=>[4,5,3,-1,2]
[5,3,1,2,-4]=>[4,5,3,1,2]
[5,3,1,-2,4]=>[4,-5,3,-1,2]
[5,3,1,-2,-4]=>[4,-5,3,1,2]
[5,3,-1,2,4]=>[-4,5,3,-1,2]
[5,3,-1,2,-4]=>[-4,5,3,1,2]
[5,3,-1,-2,4]=>[-4,-5,3,-1,2]
[5,3,-1,-2,-4]=>[-4,-5,3,1,2]
[5,-3,1,2,4]=>[4,5,-3,-1,2]
[5,-3,1,2,-4]=>[4,5,-3,1,2]
[5,-3,1,-2,4]=>[4,-5,-3,-1,2]
[5,-3,1,-2,-4]=>[4,-5,-3,1,2]
[5,-3,-1,2,4]=>[-4,5,-3,-1,2]
[5,-3,-1,2,-4]=>[-4,5,-3,1,2]
[5,-3,-1,-2,4]=>[-4,-5,-3,-1,2]
[5,-3,-1,-2,-4]=>[-4,-5,-3,1,2]
[-5,3,1,2,4]=>[4,5,3,-1,-2]
[-5,3,1,2,-4]=>[4,5,3,1,-2]
[-5,3,1,-2,4]=>[4,-5,3,-1,-2]
[-5,3,1,-2,-4]=>[4,-5,3,1,-2]
[-5,3,-1,2,4]=>[-4,5,3,-1,-2]
[-5,3,-1,2,-4]=>[-4,5,3,1,-2]
[-5,3,-1,-2,4]=>[-4,-5,3,-1,-2]
[-5,3,-1,-2,-4]=>[-4,-5,3,1,-2]
[-5,-3,1,2,4]=>[4,5,-3,-1,-2]
[-5,-3,1,2,-4]=>[4,5,-3,1,-2]
[-5,-3,1,-2,4]=>[4,-5,-3,-1,-2]
[-5,-3,1,-2,-4]=>[4,-5,-3,1,-2]
[-5,-3,-1,2,4]=>[-4,5,-3,-1,-2]
[-5,-3,-1,2,-4]=>[-4,5,-3,1,-2]
[-5,-3,-1,-2,4]=>[-4,-5,-3,-1,-2]
[-5,-3,-1,-2,-4]=>[-4,-5,-3,1,-2]
[5,3,1,4,2]=>[4,-1,3,5,2]
[5,3,1,4,-2]=>[4,1,3,5,2]
[5,3,1,-4,2]=>[4,-1,3,-5,2]
[5,3,1,-4,-2]=>[4,1,3,-5,2]
[5,3,-1,4,2]=>[-4,-1,3,5,2]
[5,3,-1,4,-2]=>[-4,1,3,5,2]
[5,3,-1,-4,2]=>[-4,-1,3,-5,2]
[5,3,-1,-4,-2]=>[-4,1,3,-5,2]
[5,-3,1,4,2]=>[4,-1,-3,5,2]
[5,-3,1,4,-2]=>[4,1,-3,5,2]
[5,-3,1,-4,2]=>[4,-1,-3,-5,2]
[5,-3,1,-4,-2]=>[4,1,-3,-5,2]
[5,-3,-1,4,2]=>[-4,-1,-3,5,2]
[5,-3,-1,4,-2]=>[-4,1,-3,5,2]
[5,-3,-1,-4,2]=>[-4,-1,-3,-5,2]
[5,-3,-1,-4,-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,-2]
[-5,3,1,-4,2]=>[4,-1,3,-5,-2]
[-5,3,1,-4,-2]=>[4,1,3,-5,-2]
[-5,3,-1,4,2]=>[-4,-1,3,5,-2]
[-5,3,-1,4,-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,-2]
[-5,-3,1,4,2]=>[4,-1,-3,5,-2]
[-5,-3,1,4,-2]=>[4,1,-3,5,-2]
[-5,-3,1,-4,2]=>[4,-1,-3,-5,-2]
[-5,-3,1,-4,-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,-2]
[-5,-3,-1,-4,2]=>[-4,-1,-3,-5,-2]
[-5,-3,-1,-4,-2]=>[-4,1,-3,-5,-2]
[5,3,2,1,4]=>[5,4,3,-1,2]
[5,3,2,1,-4]=>[5,4,3,1,2]
[5,3,2,-1,4]=>[-5,4,3,-1,2]
[5,3,2,-1,-4]=>[-5,4,3,1,2]
[5,3,-2,1,4]=>[5,-4,3,-1,2]
[5,3,-2,1,-4]=>[5,-4,3,1,2]
[5,3,-2,-1,4]=>[-5,-4,3,-1,2]
[5,3,-2,-1,-4]=>[-5,-4,3,1,2]
[5,-3,2,1,4]=>[5,4,-3,-1,2]
[5,-3,2,1,-4]=>[5,4,-3,1,2]
[5,-3,2,-1,4]=>[-5,4,-3,-1,2]
[5,-3,2,-1,-4]=>[-5,4,-3,1,2]
[5,-3,-2,1,4]=>[5,-4,-3,-1,2]
[5,-3,-2,1,-4]=>[5,-4,-3,1,2]
[5,-3,-2,-1,4]=>[-5,-4,-3,-1,2]
[5,-3,-2,-1,-4]=>[-5,-4,-3,1,2]
[-5,3,2,1,4]=>[5,4,3,-1,-2]
[-5,3,2,1,-4]=>[5,4,3,1,-2]
[-5,3,2,-1,4]=>[-5,4,3,-1,-2]
[-5,3,2,-1,-4]=>[-5,4,3,1,-2]
[-5,3,-2,1,4]=>[5,-4,3,-1,-2]
[-5,3,-2,1,-4]=>[5,-4,3,1,-2]
[-5,3,-2,-1,4]=>[-5,-4,3,-1,-2]
[-5,3,-2,-1,-4]=>[-5,-4,3,1,-2]
[-5,-3,2,1,4]=>[5,4,-3,-1,-2]
[-5,-3,2,1,-4]=>[5,4,-3,1,-2]
[-5,-3,2,-1,4]=>[-5,4,-3,-1,-2]
[-5,-3,2,-1,-4]=>[-5,4,-3,1,-2]
[-5,-3,-2,1,4]=>[5,-4,-3,-1,-2]
[-5,-3,-2,1,-4]=>[5,-4,-3,1,-2]
[-5,-3,-2,-1,4]=>[-5,-4,-3,-1,-2]
[-5,-3,-2,-1,-4]=>[-5,-4,-3,1,-2]
[5,3,2,4,1]=>[-1,4,3,5,2]
[5,3,2,4,-1]=>[1,4,3,5,2]
[5,3,2,-4,1]=>[-1,4,3,-5,2]
[5,3,2,-4,-1]=>[1,4,3,-5,2]
[5,3,-2,4,1]=>[-1,-4,3,5,2]
[5,3,-2,4,-1]=>[1,-4,3,5,2]
[5,3,-2,-4,1]=>[-1,-4,3,-5,2]
[5,3,-2,-4,-1]=>[1,-4,3,-5,2]
[5,-3,2,4,1]=>[-1,4,-3,5,2]
[5,-3,2,4,-1]=>[1,4,-3,5,2]
[5,-3,2,-4,1]=>[-1,4,-3,-5,2]
[5,-3,2,-4,-1]=>[1,4,-3,-5,2]
[5,-3,-2,4,1]=>[-1,-4,-3,5,2]
[5,-3,-2,4,-1]=>[1,-4,-3,5,2]
[5,-3,-2,-4,1]=>[-1,-4,-3,-5,2]
[5,-3,-2,-4,-1]=>[1,-4,-3,-5,2]
[-5,3,2,4,1]=>[-1,4,3,5,-2]
[-5,3,2,4,-1]=>[1,4,3,5,-2]
[-5,3,2,-4,1]=>[-1,4,3,-5,-2]
[-5,3,2,-4,-1]=>[1,4,3,-5,-2]
[-5,3,-2,4,1]=>[-1,-4,3,5,-2]
[-5,3,-2,4,-1]=>[1,-4,3,5,-2]
[-5,3,-2,-4,1]=>[-1,-4,3,-5,-2]
[-5,3,-2,-4,-1]=>[1,-4,3,-5,-2]
[-5,-3,2,4,1]=>[-1,4,-3,5,-2]
[-5,-3,2,4,-1]=>[1,4,-3,5,-2]
[-5,-3,2,-4,1]=>[-1,4,-3,-5,-2]
[-5,-3,2,-4,-1]=>[1,4,-3,-5,-2]
[-5,-3,-2,4,1]=>[-1,-4,-3,5,-2]
[-5,-3,-2,4,-1]=>[1,-4,-3,5,-2]
[-5,-3,-2,-4,1]=>[-1,-4,-3,-5,-2]
[-5,-3,-2,-4,-1]=>[1,-4,-3,-5,-2]
[5,3,4,1,2]=>[5,-1,3,4,2]
[5,3,4,1,-2]=>[5,1,3,4,2]
[5,3,4,-1,2]=>[-5,-1,3,4,2]
[5,3,4,-1,-2]=>[-5,1,3,4,2]
[5,3,-4,1,2]=>[5,-1,3,-4,2]
[5,3,-4,1,-2]=>[5,1,3,-4,2]
[5,3,-4,-1,2]=>[-5,-1,3,-4,2]
[5,3,-4,-1,-2]=>[-5,1,3,-4,2]
[5,-3,4,1,2]=>[5,-1,-3,4,2]
[5,-3,4,1,-2]=>[5,1,-3,4,2]
[5,-3,4,-1,2]=>[-5,-1,-3,4,2]
[5,-3,4,-1,-2]=>[-5,1,-3,4,2]
[5,-3,-4,1,2]=>[5,-1,-3,-4,2]
[5,-3,-4,1,-2]=>[5,1,-3,-4,2]
[5,-3,-4,-1,2]=>[-5,-1,-3,-4,2]
[5,-3,-4,-1,-2]=>[-5,1,-3,-4,2]
[-5,3,4,1,2]=>[5,-1,3,4,-2]
[-5,3,4,1,-2]=>[5,1,3,4,-2]
[-5,3,4,-1,2]=>[-5,-1,3,4,-2]
[-5,3,4,-1,-2]=>[-5,1,3,4,-2]
[-5,3,-4,1,2]=>[5,-1,3,-4,-2]
[-5,3,-4,1,-2]=>[5,1,3,-4,-2]
[-5,3,-4,-1,2]=>[-5,-1,3,-4,-2]
[-5,3,-4,-1,-2]=>[-5,1,3,-4,-2]
[-5,-3,4,1,2]=>[5,-1,-3,4,-2]
[-5,-3,4,1,-2]=>[5,1,-3,4,-2]
[-5,-3,4,-1,2]=>[-5,-1,-3,4,-2]
[-5,-3,4,-1,-2]=>[-5,1,-3,4,-2]
[-5,-3,-4,1,2]=>[5,-1,-3,-4,-2]
[-5,-3,-4,1,-2]=>[5,1,-3,-4,-2]
[-5,-3,-4,-1,2]=>[-5,-1,-3,-4,-2]
[-5,-3,-4,-1,-2]=>[-5,1,-3,-4,-2]
[5,3,4,2,1]=>[-1,5,3,4,2]
[5,3,4,2,-1]=>[1,5,3,4,2]
[5,3,4,-2,1]=>[-1,-5,3,4,2]
[5,3,4,-2,-1]=>[1,-5,3,4,2]
[5,3,-4,2,1]=>[-1,5,3,-4,2]
[5,3,-4,2,-1]=>[1,5,3,-4,2]
[5,3,-4,-2,1]=>[-1,-5,3,-4,2]
[5,3,-4,-2,-1]=>[1,-5,3,-4,2]
[5,-3,4,2,1]=>[-1,5,-3,4,2]
[5,-3,4,2,-1]=>[1,5,-3,4,2]
[5,-3,4,-2,1]=>[-1,-5,-3,4,2]
[5,-3,4,-2,-1]=>[1,-5,-3,4,2]
[5,-3,-4,2,1]=>[-1,5,-3,-4,2]
[5,-3,-4,2,-1]=>[1,5,-3,-4,2]
[5,-3,-4,-2,1]=>[-1,-5,-3,-4,2]
[5,-3,-4,-2,-1]=>[1,-5,-3,-4,2]
[-5,3,4,2,1]=>[-1,5,3,4,-2]
[-5,3,4,2,-1]=>[1,5,3,4,-2]
[-5,3,4,-2,1]=>[-1,-5,3,4,-2]
[-5,3,4,-2,-1]=>[1,-5,3,4,-2]
[-5,3,-4,2,1]=>[-1,5,3,-4,-2]
[-5,3,-4,2,-1]=>[1,5,3,-4,-2]
[-5,3,-4,-2,1]=>[-1,-5,3,-4,-2]
[-5,3,-4,-2,-1]=>[1,-5,3,-4,-2]
[-5,-3,4,2,1]=>[-1,5,-3,4,-2]
[-5,-3,4,2,-1]=>[1,5,-3,4,-2]
[-5,-3,4,-2,1]=>[-1,-5,-3,4,-2]
[-5,-3,4,-2,-1]=>[1,-5,-3,4,-2]
[-5,-3,-4,2,1]=>[-1,5,-3,-4,-2]
[-5,-3,-4,2,-1]=>[1,5,-3,-4,-2]
[-5,-3,-4,-2,1]=>[-1,-5,-3,-4,-2]
[-5,-3,-4,-2,-1]=>[1,-5,-3,-4,-2]
[5,4,1,2,3]=>[4,5,-1,3,2]
[5,4,1,2,-3]=>[4,5,1,3,2]
[5,4,1,-2,3]=>[4,-5,-1,3,2]
[5,4,1,-2,-3]=>[4,-5,1,3,2]
[5,4,-1,2,3]=>[-4,5,-1,3,2]
[5,4,-1,2,-3]=>[-4,5,1,3,2]
[5,4,-1,-2,3]=>[-4,-5,-1,3,2]
[5,4,-1,-2,-3]=>[-4,-5,1,3,2]
[5,-4,1,2,3]=>[4,5,-1,-3,2]
[5,-4,1,2,-3]=>[4,5,1,-3,2]
[5,-4,1,-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,-3,2]
[5,-4,-1,2,-3]=>[-4,5,1,-3,2]
[5,-4,-1,-2,3]=>[-4,-5,-1,-3,2]
[5,-4,-1,-2,-3]=>[-4,-5,1,-3,2]
[-5,4,1,2,3]=>[4,5,-1,3,-2]
[-5,4,1,2,-3]=>[4,5,1,3,-2]
[-5,4,1,-2,3]=>[4,-5,-1,3,-2]
[-5,4,1,-2,-3]=>[4,-5,1,3,-2]
[-5,4,-1,2,3]=>[-4,5,-1,3,-2]
[-5,4,-1,2,-3]=>[-4,5,1,3,-2]
[-5,4,-1,-2,3]=>[-4,-5,-1,3,-2]
[-5,4,-1,-2,-3]=>[-4,-5,1,3,-2]
[-5,-4,1,2,3]=>[4,5,-1,-3,-2]
[-5,-4,1,2,-3]=>[4,5,1,-3,-2]
[-5,-4,1,-2,3]=>[4,-5,-1,-3,-2]
[-5,-4,1,-2,-3]=>[4,-5,1,-3,-2]
[-5,-4,-1,2,3]=>[-4,5,-1,-3,-2]
[-5,-4,-1,2,-3]=>[-4,5,1,-3,-2]
[-5,-4,-1,-2,3]=>[-4,-5,-1,-3,-2]
[-5,-4,-1,-2,-3]=>[-4,-5,1,-3,-2]
[5,4,1,3,2]=>[4,-1,5,3,2]
[5,4,1,3,-2]=>[4,1,5,3,2]
[5,4,1,-3,2]=>[4,-1,-5,3,2]
[5,4,1,-3,-2]=>[4,1,-5,3,2]
[5,4,-1,3,2]=>[-4,-1,5,3,2]
[5,4,-1,3,-2]=>[-4,1,5,3,2]
[5,4,-1,-3,2]=>[-4,-1,-5,3,2]
[5,4,-1,-3,-2]=>[-4,1,-5,3,2]
[5,-4,1,3,2]=>[4,-1,5,-3,2]
[5,-4,1,3,-2]=>[4,1,5,-3,2]
[5,-4,1,-3,2]=>[4,-1,-5,-3,2]
[5,-4,1,-3,-2]=>[4,1,-5,-3,2]
[5,-4,-1,3,2]=>[-4,-1,5,-3,2]
[5,-4,-1,3,-2]=>[-4,1,5,-3,2]
[5,-4,-1,-3,2]=>[-4,-1,-5,-3,2]
[5,-4,-1,-3,-2]=>[-4,1,-5,-3,2]
[-5,4,1,3,2]=>[4,-1,5,3,-2]
[-5,4,1,3,-2]=>[4,1,5,3,-2]
[-5,4,1,-3,2]=>[4,-1,-5,3,-2]
[-5,4,1,-3,-2]=>[4,1,-5,3,-2]
[-5,4,-1,3,2]=>[-4,-1,5,3,-2]
[-5,4,-1,3,-2]=>[-4,1,5,3,-2]
[-5,4,-1,-3,2]=>[-4,-1,-5,3,-2]
[-5,4,-1,-3,-2]=>[-4,1,-5,3,-2]
[-5,-4,1,3,2]=>[4,-1,5,-3,-2]
[-5,-4,1,3,-2]=>[4,1,5,-3,-2]
[-5,-4,1,-3,2]=>[4,-1,-5,-3,-2]
[-5,-4,1,-3,-2]=>[4,1,-5,-3,-2]
[-5,-4,-1,3,2]=>[-4,-1,5,-3,-2]
[-5,-4,-1,3,-2]=>[-4,1,5,-3,-2]
[-5,-4,-1,-3,2]=>[-4,-1,-5,-3,-2]
[-5,-4,-1,-3,-2]=>[-4,1,-5,-3,-2]
[5,4,2,1,3]=>[5,4,-1,3,2]
[5,4,2,1,-3]=>[5,4,1,3,2]
[5,4,2,-1,3]=>[-5,4,-1,3,2]
[5,4,2,-1,-3]=>[-5,4,1,3,2]
[5,4,-2,1,3]=>[5,-4,-1,3,2]
[5,4,-2,1,-3]=>[5,-4,1,3,2]
[5,4,-2,-1,3]=>[-5,-4,-1,3,2]
[5,4,-2,-1,-3]=>[-5,-4,1,3,2]
[5,-4,2,1,3]=>[5,4,-1,-3,2]
[5,-4,2,1,-3]=>[5,4,1,-3,2]
[5,-4,2,-1,3]=>[-5,4,-1,-3,2]
[5,-4,2,-1,-3]=>[-5,4,1,-3,2]
[5,-4,-2,1,3]=>[5,-4,-1,-3,2]
[5,-4,-2,1,-3]=>[5,-4,1,-3,2]
[5,-4,-2,-1,3]=>[-5,-4,-1,-3,2]
[5,-4,-2,-1,-3]=>[-5,-4,1,-3,2]
[-5,4,2,1,3]=>[5,4,-1,3,-2]
[-5,4,2,1,-3]=>[5,4,1,3,-2]
[-5,4,2,-1,3]=>[-5,4,-1,3,-2]
[-5,4,2,-1,-3]=>[-5,4,1,3,-2]
[-5,4,-2,1,3]=>[5,-4,-1,3,-2]
[-5,4,-2,1,-3]=>[5,-4,1,3,-2]
[-5,4,-2,-1,3]=>[-5,-4,-1,3,-2]
[-5,4,-2,-1,-3]=>[-5,-4,1,3,-2]
[-5,-4,2,1,3]=>[5,4,-1,-3,-2]
[-5,-4,2,1,-3]=>[5,4,1,-3,-2]
[-5,-4,2,-1,3]=>[-5,4,-1,-3,-2]
[-5,-4,2,-1,-3]=>[-5,4,1,-3,-2]
[-5,-4,-2,1,3]=>[5,-4,-1,-3,-2]
[-5,-4,-2,1,-3]=>[5,-4,1,-3,-2]
[-5,-4,-2,-1,3]=>[-5,-4,-1,-3,-2]
[-5,-4,-2,-1,-3]=>[-5,-4,1,-3,-2]
[5,4,2,3,1]=>[-1,4,5,3,2]
[5,4,2,3,-1]=>[1,4,5,3,2]
[5,4,2,-3,1]=>[-1,4,-5,3,2]
[5,4,2,-3,-1]=>[1,4,-5,3,2]
[5,4,-2,3,1]=>[-1,-4,5,3,2]
[5,4,-2,3,-1]=>[1,-4,5,3,2]
[5,4,-2,-3,1]=>[-1,-4,-5,3,2]
[5,4,-2,-3,-1]=>[1,-4,-5,3,2]
[5,-4,2,3,1]=>[-1,4,5,-3,2]
[5,-4,2,3,-1]=>[1,4,5,-3,2]
[5,-4,2,-3,1]=>[-1,4,-5,-3,2]
[5,-4,2,-3,-1]=>[1,4,-5,-3,2]
[5,-4,-2,3,1]=>[-1,-4,5,-3,2]
[5,-4,-2,3,-1]=>[1,-4,5,-3,2]
[5,-4,-2,-3,1]=>[-1,-4,-5,-3,2]
[5,-4,-2,-3,-1]=>[1,-4,-5,-3,2]
[-5,4,2,3,1]=>[-1,4,5,3,-2]
[-5,4,2,3,-1]=>[1,4,5,3,-2]
[-5,4,2,-3,1]=>[-1,4,-5,3,-2]
[-5,4,2,-3,-1]=>[1,4,-5,3,-2]
[-5,4,-2,3,1]=>[-1,-4,5,3,-2]
[-5,4,-2,3,-1]=>[1,-4,5,3,-2]
[-5,4,-2,-3,1]=>[-1,-4,-5,3,-2]
[-5,4,-2,-3,-1]=>[1,-4,-5,3,-2]
[-5,-4,2,3,1]=>[-1,4,5,-3,-2]
[-5,-4,2,3,-1]=>[1,4,5,-3,-2]
[-5,-4,2,-3,1]=>[-1,4,-5,-3,-2]
[-5,-4,2,-3,-1]=>[1,4,-5,-3,-2]
[-5,-4,-2,3,1]=>[-1,-4,5,-3,-2]
[-5,-4,-2,3,-1]=>[1,-4,5,-3,-2]
[-5,-4,-2,-3,1]=>[-1,-4,-5,-3,-2]
[-5,-4,-2,-3,-1]=>[1,-4,-5,-3,-2]
[5,4,3,1,2]=>[5,-1,4,3,2]
[5,4,3,1,-2]=>[5,1,4,3,2]
[5,4,3,-1,2]=>[-5,-1,4,3,2]
[5,4,3,-1,-2]=>[-5,1,4,3,2]
[5,4,-3,1,2]=>[5,-1,-4,3,2]
[5,4,-3,1,-2]=>[5,1,-4,3,2]
[5,4,-3,-1,2]=>[-5,-1,-4,3,2]
[5,4,-3,-1,-2]=>[-5,1,-4,3,2]
[5,-4,3,1,2]=>[5,-1,4,-3,2]
[5,-4,3,1,-2]=>[5,1,4,-3,2]
[5,-4,3,-1,2]=>[-5,-1,4,-3,2]
[5,-4,3,-1,-2]=>[-5,1,4,-3,2]
[5,-4,-3,1,2]=>[5,-1,-4,-3,2]
[5,-4,-3,1,-2]=>[5,1,-4,-3,2]
[5,-4,-3,-1,2]=>[-5,-1,-4,-3,2]
[5,-4,-3,-1,-2]=>[-5,1,-4,-3,2]
[-5,4,3,1,2]=>[5,-1,4,3,-2]
[-5,4,3,1,-2]=>[5,1,4,3,-2]
[-5,4,3,-1,2]=>[-5,-1,4,3,-2]
[-5,4,3,-1,-2]=>[-5,1,4,3,-2]
[-5,4,-3,1,2]=>[5,-1,-4,3,-2]
[-5,4,-3,1,-2]=>[5,1,-4,3,-2]
[-5,4,-3,-1,2]=>[-5,-1,-4,3,-2]
[-5,4,-3,-1,-2]=>[-5,1,-4,3,-2]
[-5,-4,3,1,2]=>[5,-1,4,-3,-2]
[-5,-4,3,1,-2]=>[5,1,4,-3,-2]
[-5,-4,3,-1,2]=>[-5,-1,4,-3,-2]
[-5,-4,3,-1,-2]=>[-5,1,4,-3,-2]
[-5,-4,-3,1,2]=>[5,-1,-4,-3,-2]
[-5,-4,-3,1,-2]=>[5,1,-4,-3,-2]
[-5,-4,-3,-1,2]=>[-5,-1,-4,-3,-2]
[-5,-4,-3,-1,-2]=>[-5,1,-4,-3,-2]
[5,4,3,2,1]=>[-1,5,4,3,2]
[5,4,3,2,-1]=>[1,5,4,3,2]
[5,4,3,-2,1]=>[-1,-5,4,3,2]
[5,4,3,-2,-1]=>[1,-5,4,3,2]
[5,4,-3,2,1]=>[-1,5,-4,3,2]
[5,4,-3,2,-1]=>[1,5,-4,3,2]
[5,4,-3,-2,1]=>[-1,-5,-4,3,2]
[5,4,-3,-2,-1]=>[1,-5,-4,3,2]
[5,-4,3,2,1]=>[-1,5,4,-3,2]
[5,-4,3,2,-1]=>[1,5,4,-3,2]
[5,-4,3,-2,1]=>[-1,-5,4,-3,2]
[5,-4,3,-2,-1]=>[1,-5,4,-3,2]
[5,-4,-3,2,1]=>[-1,5,-4,-3,2]
[5,-4,-3,2,-1]=>[1,5,-4,-3,2]
[5,-4,-3,-2,1]=>[-1,-5,-4,-3,2]
[5,-4,-3,-2,-1]=>[1,-5,-4,-3,2]
[-5,4,3,2,1]=>[-1,5,4,3,-2]
[-5,4,3,2,-1]=>[1,5,4,3,-2]
[-5,4,3,-2,1]=>[-1,-5,4,3,-2]
[-5,4,3,-2,-1]=>[1,-5,4,3,-2]
[-5,4,-3,2,1]=>[-1,5,-4,3,-2]
[-5,4,-3,2,-1]=>[1,5,-4,3,-2]
[-5,4,-3,-2,1]=>[-1,-5,-4,3,-2]
[-5,4,-3,-2,-1]=>[1,-5,-4,3,-2]
[-5,-4,3,2,1]=>[-1,5,4,-3,-2]
[-5,-4,3,2,-1]=>[1,5,4,-3,-2]
[-5,-4,3,-2,1]=>[-1,-5,4,-3,-2]
[-5,-4,3,-2,-1]=>[1,-5,4,-3,-2]
[-5,-4,-3,2,1]=>[-1,5,-4,-3,-2]
[-5,-4,-3,2,-1]=>[1,5,-4,-3,-2]
[-5,-4,-3,-2,1]=>[-1,-5,-4,-3,-2]
[-5,-4,-3,-2,-1]=>[1,-5,-4,-3,-2]
[1,2,3,4,5,6]=>[2,3,4,5,6,-1]
[1,2,3,4,6,5]=>[2,3,4,5,-1,6]
[1,2,3,5,4,6]=>[2,3,4,6,5,-1]
[1,2,3,5,6,4]=>[2,3,4,-1,5,6]
[1,2,3,6,4,5]=>[2,3,4,6,-1,5]
[1,2,3,6,5,4]=>[2,3,4,-1,6,5]
[1,2,4,3,5,6]=>[2,3,5,4,6,-1]
[1,2,4,3,6,5]=>[2,3,5,4,-1,6]
[1,2,4,5,3,6]=>[2,3,6,4,5,-1]
[1,2,4,5,6,3]=>[2,3,-1,4,5,6]
[1,2,4,6,3,5]=>[2,3,6,4,-1,5]
[1,2,4,6,5,3]=>[2,3,-1,4,6,5]
[1,2,5,3,4,6]=>[2,3,5,6,4,-1]
[1,2,5,3,6,4]=>[2,3,5,-1,4,6]
[1,2,5,4,3,6]=>[2,3,6,5,4,-1]
[1,2,5,4,6,3]=>[2,3,-1,5,4,6]
[1,2,5,6,3,4]=>[2,3,6,-1,4,5]
[1,2,5,6,4,3]=>[2,3,-1,6,4,5]
[1,2,6,3,4,5]=>[2,3,5,6,-1,4]
[1,2,6,3,5,4]=>[2,3,5,-1,6,4]
[1,2,6,4,3,5]=>[2,3,6,5,-1,4]
[1,2,6,4,5,3]=>[2,3,-1,5,6,4]
[1,2,6,5,3,4]=>[2,3,6,-1,5,4]
[1,2,6,5,4,3]=>[2,3,-1,6,5,4]
[1,3,2,4,5,6]=>[2,4,3,5,6,-1]
[1,3,2,4,6,5]=>[2,4,3,5,-1,6]
[1,3,2,5,4,6]=>[2,4,3,6,5,-1]
[1,3,2,5,6,4]=>[2,4,3,-1,5,6]
[1,3,2,6,4,5]=>[2,4,3,6,-1,5]
[1,3,2,6,5,4]=>[2,4,3,-1,6,5]
[1,3,4,2,5,6]=>[2,5,3,4,6,-1]
[1,3,4,2,6,5]=>[2,5,3,4,-1,6]
[1,3,4,5,2,6]=>[2,6,3,4,5,-1]
[1,3,4,5,6,2]=>[2,-1,3,4,5,6]
[1,3,4,6,2,5]=>[2,6,3,4,-1,5]
[1,3,4,6,5,2]=>[2,-1,3,4,6,5]
[1,3,5,2,4,6]=>[2,5,3,6,4,-1]
[1,3,5,2,6,4]=>[2,5,3,-1,4,6]
[1,3,5,4,2,6]=>[2,6,3,5,4,-1]
[1,3,5,4,6,2]=>[2,-1,3,5,4,6]
[1,3,5,6,2,4]=>[2,6,3,-1,4,5]
[1,3,5,6,4,2]=>[2,-1,3,6,4,5]
[1,3,6,2,4,5]=>[2,5,3,6,-1,4]
[1,3,6,2,5,4]=>[2,5,3,-1,6,4]
[1,3,6,4,2,5]=>[2,6,3,5,-1,4]
[1,3,6,4,5,2]=>[2,-1,3,5,6,4]
[1,3,6,5,2,4]=>[2,6,3,-1,5,4]
[1,3,6,5,4,2]=>[2,-1,3,6,5,4]
[1,4,2,3,5,6]=>[2,4,5,3,6,-1]
[1,4,2,3,6,5]=>[2,4,5,3,-1,6]
[1,4,2,5,3,6]=>[2,4,6,3,5,-1]
[1,4,2,5,6,3]=>[2,4,-1,3,5,6]
[1,4,2,6,3,5]=>[2,4,6,3,-1,5]
[1,4,2,6,5,3]=>[2,4,-1,3,6,5]
[1,4,3,2,5,6]=>[2,5,4,3,6,-1]
[1,4,3,2,6,5]=>[2,5,4,3,-1,6]
[1,4,3,5,2,6]=>[2,6,4,3,5,-1]
[1,4,3,5,6,2]=>[2,-1,4,3,5,6]
[1,4,3,6,2,5]=>[2,6,4,3,-1,5]
[1,4,3,6,5,2]=>[2,-1,4,3,6,5]
[1,4,5,2,3,6]=>[2,5,6,3,4,-1]
[1,4,5,2,6,3]=>[2,5,-1,3,4,6]
[1,4,5,3,2,6]=>[2,6,5,3,4,-1]
[1,4,5,3,6,2]=>[2,-1,5,3,4,6]
[1,4,5,6,2,3]=>[2,6,-1,3,4,5]
[1,4,5,6,3,2]=>[2,-1,6,3,4,5]
[1,4,6,2,3,5]=>[2,5,6,3,-1,4]
[1,4,6,2,5,3]=>[2,5,-1,3,6,4]
[1,4,6,3,2,5]=>[2,6,5,3,-1,4]
[1,4,6,3,5,2]=>[2,-1,5,3,6,4]
[1,4,6,5,2,3]=>[2,6,-1,3,5,4]
[1,4,6,5,3,2]=>[2,-1,6,3,5,4]
[1,5,2,3,4,6]=>[2,4,5,6,3,-1]
[1,5,2,3,6,4]=>[2,4,5,-1,3,6]
[1,5,2,4,3,6]=>[2,4,6,5,3,-1]
[1,5,2,4,6,3]=>[2,4,-1,5,3,6]
[1,5,2,6,3,4]=>[2,4,6,-1,3,5]
[1,5,2,6,4,3]=>[2,4,-1,6,3,5]
[1,5,3,2,4,6]=>[2,5,4,6,3,-1]
[1,5,3,2,6,4]=>[2,5,4,-1,3,6]
[1,5,3,4,2,6]=>[2,6,4,5,3,-1]
[1,5,3,4,6,2]=>[2,-1,4,5,3,6]
[1,5,3,6,2,4]=>[2,6,4,-1,3,5]
[1,5,3,6,4,2]=>[2,-1,4,6,3,5]
[1,5,4,2,3,6]=>[2,5,6,4,3,-1]
[1,5,4,2,6,3]=>[2,5,-1,4,3,6]
[1,5,4,3,2,6]=>[2,6,5,4,3,-1]
[1,5,4,3,6,2]=>[2,-1,5,4,3,6]
[1,5,4,6,2,3]=>[2,6,-1,4,3,5]
[1,5,4,6,3,2]=>[2,-1,6,4,3,5]
[1,5,6,2,3,4]=>[2,5,6,-1,3,4]
[1,5,6,2,4,3]=>[2,5,-1,6,3,4]
[1,5,6,3,2,4]=>[2,6,5,-1,3,4]
[1,5,6,3,4,2]=>[2,-1,5,6,3,4]
[1,5,6,4,2,3]=>[2,6,-1,5,3,4]
[1,5,6,4,3,2]=>[2,-1,6,5,3,4]
[1,6,2,3,4,5]=>[2,4,5,6,-1,3]
[1,6,2,3,5,4]=>[2,4,5,-1,6,3]
[1,6,2,4,3,5]=>[2,4,6,5,-1,3]
[1,6,2,4,5,3]=>[2,4,-1,5,6,3]
[1,6,2,5,3,4]=>[2,4,6,-1,5,3]
[1,6,2,5,4,3]=>[2,4,-1,6,5,3]
[1,6,3,2,4,5]=>[2,5,4,6,-1,3]
[1,6,3,2,5,4]=>[2,5,4,-1,6,3]
[1,6,3,4,2,5]=>[2,6,4,5,-1,3]
[1,6,3,4,5,2]=>[2,-1,4,5,6,3]
[1,6,3,5,2,4]=>[2,6,4,-1,5,3]
[1,6,3,5,4,2]=>[2,-1,4,6,5,3]
[1,6,4,2,3,5]=>[2,5,6,4,-1,3]
[1,6,4,2,5,3]=>[2,5,-1,4,6,3]
[1,6,4,3,2,5]=>[2,6,5,4,-1,3]
[1,6,4,3,5,2]=>[2,-1,5,4,6,3]
[1,6,4,5,2,3]=>[2,6,-1,4,5,3]
[1,6,4,5,3,2]=>[2,-1,6,4,5,3]
[1,6,5,2,3,4]=>[2,5,6,-1,4,3]
[1,6,5,2,4,3]=>[2,5,-1,6,4,3]
[1,6,5,3,2,4]=>[2,6,5,-1,4,3]
[1,6,5,3,4,2]=>[2,-1,5,6,4,3]
[1,6,5,4,2,3]=>[2,6,-1,5,4,3]
[1,6,5,4,3,2]=>[2,-1,6,5,4,3]
[2,1,3,4,5,6]=>[3,2,4,5,6,-1]
[2,1,3,4,6,5]=>[3,2,4,5,-1,6]
[2,1,3,5,4,6]=>[3,2,4,6,5,-1]
[2,1,3,5,6,4]=>[3,2,4,-1,5,6]
[2,1,3,6,4,5]=>[3,2,4,6,-1,5]
[2,1,3,6,5,4]=>[3,2,4,-1,6,5]
[2,1,4,3,5,6]=>[3,2,5,4,6,-1]
[2,1,4,3,6,5]=>[3,2,5,4,-1,6]
[2,1,4,5,3,6]=>[3,2,6,4,5,-1]
[2,1,4,5,6,3]=>[3,2,-1,4,5,6]
[2,1,4,6,3,5]=>[3,2,6,4,-1,5]
[2,1,4,6,5,3]=>[3,2,-1,4,6,5]
[2,1,5,3,4,6]=>[3,2,5,6,4,-1]
[2,1,5,3,6,4]=>[3,2,5,-1,4,6]
[2,1,5,4,3,6]=>[3,2,6,5,4,-1]
[2,1,5,4,6,3]=>[3,2,-1,5,4,6]
[2,1,5,6,3,4]=>[3,2,6,-1,4,5]
[2,1,5,6,4,3]=>[3,2,-1,6,4,5]
[2,1,6,3,4,5]=>[3,2,5,6,-1,4]
[2,1,6,3,5,4]=>[3,2,5,-1,6,4]
[2,1,6,4,3,5]=>[3,2,6,5,-1,4]
[2,1,6,4,5,3]=>[3,2,-1,5,6,4]
[2,1,6,5,3,4]=>[3,2,6,-1,5,4]
[2,1,6,5,4,3]=>[3,2,-1,6,5,4]
[2,3,1,4,5,6]=>[4,2,3,5,6,-1]
[2,3,1,4,6,5]=>[4,2,3,5,-1,6]
[2,3,1,5,4,6]=>[4,2,3,6,5,-1]
[2,3,1,5,6,4]=>[4,2,3,-1,5,6]
[2,3,1,6,4,5]=>[4,2,3,6,-1,5]
[2,3,1,6,5,4]=>[4,2,3,-1,6,5]
[2,3,4,1,5,6]=>[5,2,3,4,6,-1]
[2,3,4,1,6,5]=>[5,2,3,4,-1,6]
[2,3,4,5,1,6]=>[6,2,3,4,5,-1]
[2,3,4,5,6,1]=>[-1,2,3,4,5,6]
[2,3,4,6,1,5]=>[6,2,3,4,-1,5]
[2,3,4,6,5,1]=>[-1,2,3,4,6,5]
[2,3,5,1,4,6]=>[5,2,3,6,4,-1]
[2,3,5,1,6,4]=>[5,2,3,-1,4,6]
[2,3,5,4,1,6]=>[6,2,3,5,4,-1]
[2,3,5,4,6,1]=>[-1,2,3,5,4,6]
[2,3,5,6,1,4]=>[6,2,3,-1,4,5]
[2,3,5,6,4,1]=>[-1,2,3,6,4,5]
[2,3,6,1,4,5]=>[5,2,3,6,-1,4]
[2,3,6,1,5,4]=>[5,2,3,-1,6,4]
[2,3,6,4,1,5]=>[6,2,3,5,-1,4]
[2,3,6,4,5,1]=>[-1,2,3,5,6,4]
[2,3,6,5,1,4]=>[6,2,3,-1,5,4]
[2,3,6,5,4,1]=>[-1,2,3,6,5,4]
[2,4,1,3,5,6]=>[4,2,5,3,6,-1]
[2,4,1,3,6,5]=>[4,2,5,3,-1,6]
[2,4,1,5,3,6]=>[4,2,6,3,5,-1]
[2,4,1,5,6,3]=>[4,2,-1,3,5,6]
[2,4,1,6,3,5]=>[4,2,6,3,-1,5]
[2,4,1,6,5,3]=>[4,2,-1,3,6,5]
[2,4,3,1,5,6]=>[5,2,4,3,6,-1]
[2,4,3,1,6,5]=>[5,2,4,3,-1,6]
[2,4,3,5,1,6]=>[6,2,4,3,5,-1]
[2,4,3,5,6,1]=>[-1,2,4,3,5,6]
[2,4,3,6,1,5]=>[6,2,4,3,-1,5]
[2,4,3,6,5,1]=>[-1,2,4,3,6,5]
[2,4,5,1,3,6]=>[5,2,6,3,4,-1]
[2,4,5,1,6,3]=>[5,2,-1,3,4,6]
[2,4,5,3,1,6]=>[6,2,5,3,4,-1]
[2,4,5,3,6,1]=>[-1,2,5,3,4,6]
[2,4,5,6,1,3]=>[6,2,-1,3,4,5]
[2,4,5,6,3,1]=>[-1,2,6,3,4,5]
[2,4,6,1,3,5]=>[5,2,6,3,-1,4]
[2,4,6,1,5,3]=>[5,2,-1,3,6,4]
[2,4,6,3,1,5]=>[6,2,5,3,-1,4]
[2,4,6,3,5,1]=>[-1,2,5,3,6,4]
[2,4,6,5,1,3]=>[6,2,-1,3,5,4]
[2,4,6,5,3,1]=>[-1,2,6,3,5,4]
[2,5,1,3,4,6]=>[4,2,5,6,3,-1]
[2,5,1,3,6,4]=>[4,2,5,-1,3,6]
[2,5,1,4,3,6]=>[4,2,6,5,3,-1]
[2,5,1,4,6,3]=>[4,2,-1,5,3,6]
[2,5,1,6,3,4]=>[4,2,6,-1,3,5]
[2,5,1,6,4,3]=>[4,2,-1,6,3,5]
[2,5,3,1,4,6]=>[5,2,4,6,3,-1]
[2,5,3,1,6,4]=>[5,2,4,-1,3,6]
[2,5,3,4,1,6]=>[6,2,4,5,3,-1]
[2,5,3,4,6,1]=>[-1,2,4,5,3,6]
[2,5,3,6,1,4]=>[6,2,4,-1,3,5]
[2,5,3,6,4,1]=>[-1,2,4,6,3,5]
[2,5,4,1,3,6]=>[5,2,6,4,3,-1]
[2,5,4,1,6,3]=>[5,2,-1,4,3,6]
[2,5,4,3,1,6]=>[6,2,5,4,3,-1]
[2,5,4,3,6,1]=>[-1,2,5,4,3,6]
[2,5,4,6,1,3]=>[6,2,-1,4,3,5]
[2,5,4,6,3,1]=>[-1,2,6,4,3,5]
[2,5,6,1,3,4]=>[5,2,6,-1,3,4]
[2,5,6,1,4,3]=>[5,2,-1,6,3,4]
[2,5,6,3,1,4]=>[6,2,5,-1,3,4]
[2,5,6,3,4,1]=>[-1,2,5,6,3,4]
[2,5,6,4,1,3]=>[6,2,-1,5,3,4]
[2,5,6,4,3,1]=>[-1,2,6,5,3,4]
[2,6,1,3,4,5]=>[4,2,5,6,-1,3]
[2,6,1,3,5,4]=>[4,2,5,-1,6,3]
[2,6,1,4,3,5]=>[4,2,6,5,-1,3]
[2,6,1,4,5,3]=>[4,2,-1,5,6,3]
[2,6,1,5,3,4]=>[4,2,6,-1,5,3]
[2,6,1,5,4,3]=>[4,2,-1,6,5,3]
[2,6,3,1,4,5]=>[5,2,4,6,-1,3]
[2,6,3,1,5,4]=>[5,2,4,-1,6,3]
[2,6,3,4,1,5]=>[6,2,4,5,-1,3]
[2,6,3,4,5,1]=>[-1,2,4,5,6,3]
[2,6,3,5,1,4]=>[6,2,4,-1,5,3]
[2,6,3,5,4,1]=>[-1,2,4,6,5,3]
[2,6,4,1,3,5]=>[5,2,6,4,-1,3]
[2,6,4,1,5,3]=>[5,2,-1,4,6,3]
[2,6,4,3,1,5]=>[6,2,5,4,-1,3]
[2,6,4,3,5,1]=>[-1,2,5,4,6,3]
[2,6,4,5,1,3]=>[6,2,-1,4,5,3]
[2,6,4,5,3,1]=>[-1,2,6,4,5,3]
[2,6,5,1,3,4]=>[5,2,6,-1,4,3]
[2,6,5,1,4,3]=>[5,2,-1,6,4,3]
[2,6,5,3,1,4]=>[6,2,5,-1,4,3]
[2,6,5,3,4,1]=>[-1,2,5,6,4,3]
[2,6,5,4,1,3]=>[6,2,-1,5,4,3]
[2,6,5,4,3,1]=>[-1,2,6,5,4,3]
[3,1,2,4,5,6]=>[3,4,2,5,6,-1]
[3,1,2,4,6,5]=>[3,4,2,5,-1,6]
[3,1,2,5,4,6]=>[3,4,2,6,5,-1]
[3,1,2,5,6,4]=>[3,4,2,-1,5,6]
[3,1,2,6,4,5]=>[3,4,2,6,-1,5]
[3,1,2,6,5,4]=>[3,4,2,-1,6,5]
[3,1,4,2,5,6]=>[3,5,2,4,6,-1]
[3,1,4,2,6,5]=>[3,5,2,4,-1,6]
[3,1,4,5,2,6]=>[3,6,2,4,5,-1]
[3,1,4,5,6,2]=>[3,-1,2,4,5,6]
[3,1,4,6,2,5]=>[3,6,2,4,-1,5]
[3,1,4,6,5,2]=>[3,-1,2,4,6,5]
[3,1,5,2,4,6]=>[3,5,2,6,4,-1]
[3,1,5,2,6,4]=>[3,5,2,-1,4,6]
[3,1,5,4,2,6]=>[3,6,2,5,4,-1]
[3,1,5,4,6,2]=>[3,-1,2,5,4,6]
[3,1,5,6,2,4]=>[3,6,2,-1,4,5]
[3,1,5,6,4,2]=>[3,-1,2,6,4,5]
[3,1,6,2,4,5]=>[3,5,2,6,-1,4]
[3,1,6,2,5,4]=>[3,5,2,-1,6,4]
[3,1,6,4,2,5]=>[3,6,2,5,-1,4]
[3,1,6,4,5,2]=>[3,-1,2,5,6,4]
[3,1,6,5,2,4]=>[3,6,2,-1,5,4]
[3,1,6,5,4,2]=>[3,-1,2,6,5,4]
[3,2,1,4,5,6]=>[4,3,2,5,6,-1]
[3,2,1,4,6,5]=>[4,3,2,5,-1,6]
[3,2,1,5,4,6]=>[4,3,2,6,5,-1]
[3,2,1,5,6,4]=>[4,3,2,-1,5,6]
[3,2,1,6,4,5]=>[4,3,2,6,-1,5]
[3,2,1,6,5,4]=>[4,3,2,-1,6,5]
[3,2,4,1,5,6]=>[5,3,2,4,6,-1]
[3,2,4,1,6,5]=>[5,3,2,4,-1,6]
[3,2,4,5,1,6]=>[6,3,2,4,5,-1]
[3,2,4,5,6,1]=>[-1,3,2,4,5,6]
[3,2,4,6,1,5]=>[6,3,2,4,-1,5]
[3,2,4,6,5,1]=>[-1,3,2,4,6,5]
[3,2,5,1,4,6]=>[5,3,2,6,4,-1]
[3,2,5,1,6,4]=>[5,3,2,-1,4,6]
[3,2,5,4,1,6]=>[6,3,2,5,4,-1]
[3,2,5,4,6,1]=>[-1,3,2,5,4,6]
[3,2,5,6,1,4]=>[6,3,2,-1,4,5]
[3,2,5,6,4,1]=>[-1,3,2,6,4,5]
[3,2,6,1,4,5]=>[5,3,2,6,-1,4]
[3,2,6,1,5,4]=>[5,3,2,-1,6,4]
[3,2,6,4,1,5]=>[6,3,2,5,-1,4]
[3,2,6,4,5,1]=>[-1,3,2,5,6,4]
[3,2,6,5,1,4]=>[6,3,2,-1,5,4]
[3,2,6,5,4,1]=>[-1,3,2,6,5,4]
[3,4,1,2,5,6]=>[4,5,2,3,6,-1]
[3,4,1,2,6,5]=>[4,5,2,3,-1,6]
[3,4,1,5,2,6]=>[4,6,2,3,5,-1]
[3,4,1,5,6,2]=>[4,-1,2,3,5,6]
[3,4,1,6,2,5]=>[4,6,2,3,-1,5]
[3,4,1,6,5,2]=>[4,-1,2,3,6,5]
[3,4,2,1,5,6]=>[5,4,2,3,6,-1]
[3,4,2,1,6,5]=>[5,4,2,3,-1,6]
[3,4,2,5,1,6]=>[6,4,2,3,5,-1]
[3,4,2,5,6,1]=>[-1,4,2,3,5,6]
[3,4,2,6,1,5]=>[6,4,2,3,-1,5]
[3,4,2,6,5,1]=>[-1,4,2,3,6,5]
[3,4,5,1,2,6]=>[5,6,2,3,4,-1]
[3,4,5,1,6,2]=>[5,-1,2,3,4,6]
[3,4,5,2,1,6]=>[6,5,2,3,4,-1]
[3,4,5,2,6,1]=>[-1,5,2,3,4,6]
[3,4,5,6,1,2]=>[6,-1,2,3,4,5]
[3,4,5,6,2,1]=>[-1,6,2,3,4,5]
[3,4,6,1,2,5]=>[5,6,2,3,-1,4]
[3,4,6,1,5,2]=>[5,-1,2,3,6,4]
[3,4,6,2,1,5]=>[6,5,2,3,-1,4]
[3,4,6,2,5,1]=>[-1,5,2,3,6,4]
[3,4,6,5,1,2]=>[6,-1,2,3,5,4]
[3,4,6,5,2,1]=>[-1,6,2,3,5,4]
[3,5,1,2,4,6]=>[4,5,2,6,3,-1]
[3,5,1,2,6,4]=>[4,5,2,-1,3,6]
[3,5,1,4,2,6]=>[4,6,2,5,3,-1]
[3,5,1,4,6,2]=>[4,-1,2,5,3,6]
[3,5,1,6,2,4]=>[4,6,2,-1,3,5]
[3,5,1,6,4,2]=>[4,-1,2,6,3,5]
[3,5,2,1,4,6]=>[5,4,2,6,3,-1]
[3,5,2,1,6,4]=>[5,4,2,-1,3,6]
[3,5,2,4,1,6]=>[6,4,2,5,3,-1]
[3,5,2,4,6,1]=>[-1,4,2,5,3,6]
[3,5,2,6,1,4]=>[6,4,2,-1,3,5]
[3,5,2,6,4,1]=>[-1,4,2,6,3,5]
[3,5,4,1,2,6]=>[5,6,2,4,3,-1]
[3,5,4,1,6,2]=>[5,-1,2,4,3,6]
[3,5,4,2,1,6]=>[6,5,2,4,3,-1]
[3,5,4,2,6,1]=>[-1,5,2,4,3,6]
[3,5,4,6,1,2]=>[6,-1,2,4,3,5]
[3,5,4,6,2,1]=>[-1,6,2,4,3,5]
[3,5,6,1,2,4]=>[5,6,2,-1,3,4]
[3,5,6,1,4,2]=>[5,-1,2,6,3,4]
[3,5,6,2,1,4]=>[6,5,2,-1,3,4]
[3,5,6,2,4,1]=>[-1,5,2,6,3,4]
[3,5,6,4,1,2]=>[6,-1,2,5,3,4]
[3,5,6,4,2,1]=>[-1,6,2,5,3,4]
[3,6,1,2,4,5]=>[4,5,2,6,-1,3]
[3,6,1,2,5,4]=>[4,5,2,-1,6,3]
[3,6,1,4,2,5]=>[4,6,2,5,-1,3]
[3,6,1,4,5,2]=>[4,-1,2,5,6,3]
[3,6,1,5,2,4]=>[4,6,2,-1,5,3]
[3,6,1,5,4,2]=>[4,-1,2,6,5,3]
[3,6,2,1,4,5]=>[5,4,2,6,-1,3]
[3,6,2,1,5,4]=>[5,4,2,-1,6,3]
[3,6,2,4,1,5]=>[6,4,2,5,-1,3]
[3,6,2,4,5,1]=>[-1,4,2,5,6,3]
[3,6,2,5,1,4]=>[6,4,2,-1,5,3]
[3,6,2,5,4,1]=>[-1,4,2,6,5,3]
[3,6,4,1,2,5]=>[5,6,2,4,-1,3]
[3,6,4,1,5,2]=>[5,-1,2,4,6,3]
[3,6,4,2,1,5]=>[6,5,2,4,-1,3]
[3,6,4,2,5,1]=>[-1,5,2,4,6,3]
[3,6,4,5,1,2]=>[6,-1,2,4,5,3]
[3,6,4,5,2,1]=>[-1,6,2,4,5,3]
[3,6,5,1,2,4]=>[5,6,2,-1,4,3]
[3,6,5,1,4,2]=>[5,-1,2,6,4,3]
[3,6,5,2,1,4]=>[6,5,2,-1,4,3]
[3,6,5,2,4,1]=>[-1,5,2,6,4,3]
[3,6,5,4,1,2]=>[6,-1,2,5,4,3]
[3,6,5,4,2,1]=>[-1,6,2,5,4,3]
[4,1,2,3,5,6]=>[3,4,5,2,6,-1]
[4,1,2,3,6,5]=>[3,4,5,2,-1,6]
[4,1,2,5,3,6]=>[3,4,6,2,5,-1]
[4,1,2,5,6,3]=>[3,4,-1,2,5,6]
[4,1,2,6,3,5]=>[3,4,6,2,-1,5]
[4,1,2,6,5,3]=>[3,4,-1,2,6,5]
[4,1,3,2,5,6]=>[3,5,4,2,6,-1]
[4,1,3,2,6,5]=>[3,5,4,2,-1,6]
[4,1,3,5,2,6]=>[3,6,4,2,5,-1]
[4,1,3,5,6,2]=>[3,-1,4,2,5,6]
[4,1,3,6,2,5]=>[3,6,4,2,-1,5]
[4,1,3,6,5,2]=>[3,-1,4,2,6,5]
[4,1,5,2,3,6]=>[3,5,6,2,4,-1]
[4,1,5,2,6,3]=>[3,5,-1,2,4,6]
[4,1,5,3,2,6]=>[3,6,5,2,4,-1]
[4,1,5,3,6,2]=>[3,-1,5,2,4,6]
[4,1,5,6,2,3]=>[3,6,-1,2,4,5]
[4,1,5,6,3,2]=>[3,-1,6,2,4,5]
[4,1,6,2,3,5]=>[3,5,6,2,-1,4]
[4,1,6,2,5,3]=>[3,5,-1,2,6,4]
[4,1,6,3,2,5]=>[3,6,5,2,-1,4]
[4,1,6,3,5,2]=>[3,-1,5,2,6,4]
[4,1,6,5,2,3]=>[3,6,-1,2,5,4]
[4,1,6,5,3,2]=>[3,-1,6,2,5,4]
[4,2,1,3,5,6]=>[4,3,5,2,6,-1]
[4,2,1,3,6,5]=>[4,3,5,2,-1,6]
[4,2,1,5,3,6]=>[4,3,6,2,5,-1]
[4,2,1,5,6,3]=>[4,3,-1,2,5,6]
[4,2,1,6,3,5]=>[4,3,6,2,-1,5]
[4,2,1,6,5,3]=>[4,3,-1,2,6,5]
[4,2,3,1,5,6]=>[5,3,4,2,6,-1]
[4,2,3,1,6,5]=>[5,3,4,2,-1,6]
[4,2,3,5,1,6]=>[6,3,4,2,5,-1]
[4,2,3,5,6,1]=>[-1,3,4,2,5,6]
[4,2,3,6,1,5]=>[6,3,4,2,-1,5]
[4,2,3,6,5,1]=>[-1,3,4,2,6,5]
[4,2,5,1,3,6]=>[5,3,6,2,4,-1]
[4,2,5,1,6,3]=>[5,3,-1,2,4,6]
[4,2,5,3,1,6]=>[6,3,5,2,4,-1]
[4,2,5,3,6,1]=>[-1,3,5,2,4,6]
[4,2,5,6,1,3]=>[6,3,-1,2,4,5]
[4,2,5,6,3,1]=>[-1,3,6,2,4,5]
[4,2,6,1,3,5]=>[5,3,6,2,-1,4]
[4,2,6,1,5,3]=>[5,3,-1,2,6,4]
[4,2,6,3,1,5]=>[6,3,5,2,-1,4]
[4,2,6,3,5,1]=>[-1,3,5,2,6,4]
[4,2,6,5,1,3]=>[6,3,-1,2,5,4]
[4,2,6,5,3,1]=>[-1,3,6,2,5,4]
[4,3,1,2,5,6]=>[4,5,3,2,6,-1]
[4,3,1,2,6,5]=>[4,5,3,2,-1,6]
[4,3,1,5,2,6]=>[4,6,3,2,5,-1]
[4,3,1,5,6,2]=>[4,-1,3,2,5,6]
[4,3,1,6,2,5]=>[4,6,3,2,-1,5]
[4,3,1,6,5,2]=>[4,-1,3,2,6,5]
[4,3,2,1,5,6]=>[5,4,3,2,6,-1]
[4,3,2,1,6,5]=>[5,4,3,2,-1,6]
[4,3,2,5,1,6]=>[6,4,3,2,5,-1]
[4,3,2,5,6,1]=>[-1,4,3,2,5,6]
[4,3,2,6,1,5]=>[6,4,3,2,-1,5]
[4,3,2,6,5,1]=>[-1,4,3,2,6,5]
[4,3,5,1,2,6]=>[5,6,3,2,4,-1]
[4,3,5,1,6,2]=>[5,-1,3,2,4,6]
[4,3,5,2,1,6]=>[6,5,3,2,4,-1]
[4,3,5,2,6,1]=>[-1,5,3,2,4,6]
[4,3,5,6,1,2]=>[6,-1,3,2,4,5]
[4,3,5,6,2,1]=>[-1,6,3,2,4,5]
[4,3,6,1,2,5]=>[5,6,3,2,-1,4]
[4,3,6,1,5,2]=>[5,-1,3,2,6,4]
[4,3,6,2,1,5]=>[6,5,3,2,-1,4]
[4,3,6,2,5,1]=>[-1,5,3,2,6,4]
[4,3,6,5,1,2]=>[6,-1,3,2,5,4]
[4,3,6,5,2,1]=>[-1,6,3,2,5,4]
[4,5,1,2,3,6]=>[4,5,6,2,3,-1]
[4,5,1,2,6,3]=>[4,5,-1,2,3,6]
[4,5,1,3,2,6]=>[4,6,5,2,3,-1]
[4,5,1,3,6,2]=>[4,-1,5,2,3,6]
[4,5,1,6,2,3]=>[4,6,-1,2,3,5]
[4,5,1,6,3,2]=>[4,-1,6,2,3,5]
[4,5,2,1,3,6]=>[5,4,6,2,3,-1]
[4,5,2,1,6,3]=>[5,4,-1,2,3,6]
[4,5,2,3,1,6]=>[6,4,5,2,3,-1]
[4,5,2,3,6,1]=>[-1,4,5,2,3,6]
[4,5,2,6,1,3]=>[6,4,-1,2,3,5]
[4,5,2,6,3,1]=>[-1,4,6,2,3,5]
[4,5,3,1,2,6]=>[5,6,4,2,3,-1]
[4,5,3,1,6,2]=>[5,-1,4,2,3,6]
[4,5,3,2,1,6]=>[6,5,4,2,3,-1]
[4,5,3,2,6,1]=>[-1,5,4,2,3,6]
[4,5,3,6,1,2]=>[6,-1,4,2,3,5]
[4,5,3,6,2,1]=>[-1,6,4,2,3,5]
[4,5,6,1,2,3]=>[5,6,-1,2,3,4]
[4,5,6,1,3,2]=>[5,-1,6,2,3,4]
[4,5,6,2,1,3]=>[6,5,-1,2,3,4]
[4,5,6,2,3,1]=>[-1,5,6,2,3,4]
[4,5,6,3,1,2]=>[6,-1,5,2,3,4]
[4,5,6,3,2,1]=>[-1,6,5,2,3,4]
[4,6,1,2,3,5]=>[4,5,6,2,-1,3]
[4,6,1,2,5,3]=>[4,5,-1,2,6,3]
[4,6,1,3,2,5]=>[4,6,5,2,-1,3]
[4,6,1,3,5,2]=>[4,-1,5,2,6,3]
[4,6,1,5,2,3]=>[4,6,-1,2,5,3]
[4,6,1,5,3,2]=>[4,-1,6,2,5,3]
[4,6,2,1,3,5]=>[5,4,6,2,-1,3]
[4,6,2,1,5,3]=>[5,4,-1,2,6,3]
[4,6,2,3,1,5]=>[6,4,5,2,-1,3]
[4,6,2,3,5,1]=>[-1,4,5,2,6,3]
[4,6,2,5,1,3]=>[6,4,-1,2,5,3]
[4,6,2,5,3,1]=>[-1,4,6,2,5,3]
[4,6,3,1,2,5]=>[5,6,4,2,-1,3]
[4,6,3,1,5,2]=>[5,-1,4,2,6,3]
[4,6,3,2,1,5]=>[6,5,4,2,-1,3]
[4,6,3,2,5,1]=>[-1,5,4,2,6,3]
[4,6,3,5,1,2]=>[6,-1,4,2,5,3]
[4,6,3,5,2,1]=>[-1,6,4,2,5,3]
[4,6,5,1,2,3]=>[5,6,-1,2,4,3]
[4,6,5,1,3,2]=>[5,-1,6,2,4,3]
[4,6,5,2,1,3]=>[6,5,-1,2,4,3]
[4,6,5,2,3,1]=>[-1,5,6,2,4,3]
[4,6,5,3,1,2]=>[6,-1,5,2,4,3]
[4,6,5,3,2,1]=>[-1,6,5,2,4,3]
[5,1,2,3,4,6]=>[3,4,5,6,2,-1]
[5,1,2,3,6,4]=>[3,4,5,-1,2,6]
[5,1,2,4,3,6]=>[3,4,6,5,2,-1]
[5,1,2,4,6,3]=>[3,4,-1,5,2,6]
[5,1,2,6,3,4]=>[3,4,6,-1,2,5]
[5,1,2,6,4,3]=>[3,4,-1,6,2,5]
[5,1,3,2,4,6]=>[3,5,4,6,2,-1]
[5,1,3,2,6,4]=>[3,5,4,-1,2,6]
[5,1,3,4,2,6]=>[3,6,4,5,2,-1]
[5,1,3,4,6,2]=>[3,-1,4,5,2,6]
[5,1,3,6,2,4]=>[3,6,4,-1,2,5]
[5,1,3,6,4,2]=>[3,-1,4,6,2,5]
[5,1,4,2,3,6]=>[3,5,6,4,2,-1]
[5,1,4,2,6,3]=>[3,5,-1,4,2,6]
[5,1,4,3,2,6]=>[3,6,5,4,2,-1]
[5,1,4,6,2,3]=>[3,6,-1,4,2,5]
[5,1,4,6,3,2]=>[3,-1,6,4,2,5]
[5,1,6,2,3,4]=>[3,5,6,-1,2,4]
[5,1,6,2,4,3]=>[3,5,-1,6,2,4]
[5,1,6,3,2,4]=>[3,6,5,-1,2,4]
[5,1,6,3,4,2]=>[3,-1,5,6,2,4]
[5,1,6,4,2,3]=>[3,6,-1,5,2,4]
[5,1,6,4,3,2]=>[3,-1,6,5,2,4]
[5,2,1,3,4,6]=>[4,3,5,6,2,-1]
[5,2,1,3,6,4]=>[4,3,5,-1,2,6]
[5,2,1,4,3,6]=>[4,3,6,5,2,-1]
[5,2,1,4,6,3]=>[4,3,-1,5,2,6]
[5,2,1,6,3,4]=>[4,3,6,-1,2,5]
[5,2,1,6,4,3]=>[4,3,-1,6,2,5]
[5,2,3,1,4,6]=>[5,3,4,6,2,-1]
[5,2,3,1,6,4]=>[5,3,4,-1,2,6]
[5,2,3,4,1,6]=>[6,3,4,5,2,-1]
[5,2,3,4,6,1]=>[-1,3,4,5,2,6]
[5,2,3,6,1,4]=>[6,3,4,-1,2,5]
[5,2,3,6,4,1]=>[-1,3,4,6,2,5]
[5,2,4,1,3,6]=>[5,3,6,4,2,-1]
[5,2,4,1,6,3]=>[5,3,-1,4,2,6]
[5,2,4,3,1,6]=>[6,3,5,4,2,-1]
[5,2,4,3,6,1]=>[-1,3,5,4,2,6]
[5,2,4,6,1,3]=>[6,3,-1,4,2,5]
[5,2,4,6,3,1]=>[-1,3,6,4,2,5]
[5,2,6,1,3,4]=>[5,3,6,-1,2,4]
[5,2,6,1,4,3]=>[5,3,-1,6,2,4]
[5,2,6,3,1,4]=>[6,3,5,-1,2,4]
[5,2,6,3,4,1]=>[-1,3,5,6,2,4]
[5,2,6,4,1,3]=>[6,3,-1,5,2,4]
[5,2,6,4,3,1]=>[-1,3,6,5,2,4]
[5,3,1,2,4,6]=>[4,5,3,6,2,-1]
[5,3,1,2,6,4]=>[4,5,3,-1,2,6]
[5,3,1,4,2,6]=>[4,6,3,5,2,-1]
[5,3,1,4,6,2]=>[4,-1,3,5,2,6]
[5,3,1,6,2,4]=>[4,6,3,-1,2,5]
[5,3,1,6,4,2]=>[4,-1,3,6,2,5]
[5,3,2,1,4,6]=>[5,4,3,6,2,-1]
[5,3,2,1,6,4]=>[5,4,3,-1,2,6]
[5,3,2,4,1,6]=>[6,4,3,5,2,-1]
[5,3,2,4,6,1]=>[-1,4,3,5,2,6]
[5,3,2,6,1,4]=>[6,4,3,-1,2,5]
[5,3,2,6,4,1]=>[-1,4,3,6,2,5]
[5,3,4,1,2,6]=>[5,6,3,4,2,-1]
[5,3,4,1,6,2]=>[5,-1,3,4,2,6]
[5,3,4,2,1,6]=>[6,5,3,4,2,-1]
[5,3,4,2,6,1]=>[-1,5,3,4,2,6]
[5,3,4,6,1,2]=>[6,-1,3,4,2,5]
[5,3,4,6,2,1]=>[-1,6,3,4,2,5]
[5,3,6,1,2,4]=>[5,6,3,-1,2,4]
[5,3,6,1,4,2]=>[5,-1,3,6,2,4]
[5,3,6,2,1,4]=>[6,5,3,-1,2,4]
[5,3,6,2,4,1]=>[-1,5,3,6,2,4]
[5,3,6,4,1,2]=>[6,-1,3,5,2,4]
[5,3,6,4,2,1]=>[-1,6,3,5,2,4]
[5,4,1,2,3,6]=>[4,5,6,3,2,-1]
[5,4,1,2,6,3]=>[4,5,-1,3,2,6]
[5,4,1,3,2,6]=>[4,6,5,3,2,-1]
[5,4,1,3,6,2]=>[4,-1,5,3,2,6]
[5,4,1,6,2,3]=>[4,6,-1,3,2,5]
[5,4,1,6,3,2]=>[4,-1,6,3,2,5]
[5,4,2,1,3,6]=>[5,4,6,3,2,-1]
[5,4,2,1,6,3]=>[5,4,-1,3,2,6]
[5,4,2,3,1,6]=>[6,4,5,3,2,-1]
[5,4,2,3,6,1]=>[-1,4,5,3,2,6]
[5,4,2,6,1,3]=>[6,4,-1,3,2,5]
[5,4,2,6,3,1]=>[-1,4,6,3,2,5]
[5,4,3,1,2,6]=>[5,6,4,3,2,-1]
[5,4,3,1,6,2]=>[5,-1,4,3,2,6]
[5,4,3,2,1,6]=>[6,5,4,3,2,-1]
[5,4,3,2,6,1]=>[-1,5,4,3,2,6]
[5,4,3,6,1,2]=>[6,-1,4,3,2,5]
[5,4,3,6,2,1]=>[-1,6,4,3,2,5]
[5,4,6,1,2,3]=>[5,6,-1,3,2,4]
[5,4,6,1,3,2]=>[5,-1,6,3,2,4]
[5,4,6,2,1,3]=>[6,5,-1,3,2,4]
[5,4,6,2,3,1]=>[-1,5,6,3,2,4]
[5,4,6,3,1,2]=>[6,-1,5,3,2,4]
[5,4,6,3,2,1]=>[-1,6,5,3,2,4]
[5,6,1,2,3,4]=>[4,5,6,-1,2,3]
[5,6,1,2,4,3]=>[4,5,-1,6,2,3]
[5,6,1,3,2,4]=>[4,6,5,-1,2,3]
[5,6,1,3,4,2]=>[4,-1,5,6,2,3]
[5,6,1,4,2,3]=>[4,6,-1,5,2,3]
[5,6,1,4,3,2]=>[4,-1,6,5,2,3]
[5,6,2,1,3,4]=>[5,4,6,-1,2,3]
[5,6,2,1,4,3]=>[5,4,-1,6,2,3]
[5,6,2,3,1,4]=>[6,4,5,-1,2,3]
[5,6,2,3,4,1]=>[-1,4,5,6,2,3]
[5,6,2,4,1,3]=>[6,4,-1,5,2,3]
[5,6,2,4,3,1]=>[-1,4,6,5,2,3]
[5,6,3,1,2,4]=>[5,6,4,-1,2,3]
[5,6,3,1,4,2]=>[5,-1,4,6,2,3]
[5,6,3,2,1,4]=>[6,5,4,-1,2,3]
[5,6,3,2,4,1]=>[-1,5,4,6,2,3]
[5,6,3,4,1,2]=>[6,-1,4,5,2,3]
[5,6,3,4,2,1]=>[-1,6,4,5,2,3]
[5,6,4,1,2,3]=>[5,6,-1,4,2,3]
[5,6,4,1,3,2]=>[5,-1,6,4,2,3]
[5,6,4,2,1,3]=>[6,5,-1,4,2,3]
[5,6,4,2,3,1]=>[-1,5,6,4,2,3]
[5,6,4,3,1,2]=>[6,-1,5,4,2,3]
[5,6,4,3,2,1]=>[-1,6,5,4,2,3]
[6,1,2,3,4,5]=>[3,4,5,6,-1,2]
[6,1,2,3,5,4]=>[3,4,5,-1,6,2]
[6,1,2,4,3,5]=>[3,4,6,5,-1,2]
[6,1,2,4,5,3]=>[3,4,-1,5,6,2]
[6,1,2,5,3,4]=>[3,4,6,-1,5,2]
[6,1,2,5,4,3]=>[3,4,-1,6,5,2]
[6,1,3,2,4,5]=>[3,5,4,6,-1,2]
[6,1,3,2,5,4]=>[3,5,4,-1,6,2]
[6,1,3,4,2,5]=>[3,6,4,5,-1,2]
[6,1,3,4,5,2]=>[3,-1,4,5,6,2]
[6,1,3,5,2,4]=>[3,6,4,-1,5,2]
[6,1,3,5,4,2]=>[3,-1,4,6,5,2]
[6,1,4,2,3,5]=>[3,5,6,4,-1,2]
[6,1,4,2,5,3]=>[3,5,-1,4,6,2]
[6,1,4,3,2,5]=>[3,6,5,4,-1,2]
[6,1,4,3,5,2]=>[3,-1,5,4,6,2]
[6,1,4,5,2,3]=>[3,6,-1,4,5,2]
[6,1,4,5,3,2]=>[3,-1,6,4,5,2]
[6,1,5,2,3,4]=>[3,5,6,-1,4,2]
[6,1,5,2,4,3]=>[3,5,-1,6,4,2]
[6,1,5,3,2,4]=>[3,6,5,-1,4,2]
[6,1,5,3,4,2]=>[3,-1,5,6,4,2]
[6,1,5,4,2,3]=>[3,6,-1,5,4,2]
[6,1,5,4,3,2]=>[3,-1,6,5,4,2]
[6,2,1,3,4,5]=>[4,3,5,6,-1,2]
[6,2,1,3,5,4]=>[4,3,5,-1,6,2]
[6,2,1,4,3,5]=>[4,3,6,5,-1,2]
[6,2,1,4,5,3]=>[4,3,-1,5,6,2]
[6,2,1,5,3,4]=>[4,3,6,-1,5,2]
[6,2,1,5,4,3]=>[4,3,-1,6,5,2]
[6,2,3,1,4,5]=>[5,3,4,6,-1,2]
[6,2,3,1,5,4]=>[5,3,4,-1,6,2]
[6,2,3,4,1,5]=>[6,3,4,5,-1,2]
[6,2,3,4,5,1]=>[-1,3,4,5,6,2]
[6,2,3,5,1,4]=>[6,3,4,-1,5,2]
[6,2,3,5,4,1]=>[-1,3,4,6,5,2]
[6,2,4,1,3,5]=>[5,3,6,4,-1,2]
[6,2,4,1,5,3]=>[5,3,-1,4,6,2]
[6,2,4,3,1,5]=>[6,3,5,4,-1,2]
[6,2,4,3,5,1]=>[-1,3,5,4,6,2]
[6,2,4,5,1,3]=>[6,3,-1,4,5,2]
[6,2,4,5,3,1]=>[-1,3,6,4,5,2]
[6,2,5,1,3,4]=>[5,3,6,-1,4,2]
[6,2,5,1,4,3]=>[5,3,-1,6,4,2]
[6,2,5,3,1,4]=>[6,3,5,-1,4,2]
[6,2,5,3,4,1]=>[-1,3,5,6,4,2]
[6,2,5,4,1,3]=>[6,3,-1,5,4,2]
[6,2,5,4,3,1]=>[-1,3,6,5,4,2]
[6,3,1,2,4,5]=>[4,5,3,6,-1,2]
[6,3,1,2,5,4]=>[4,5,3,-1,6,2]
[6,3,1,4,2,5]=>[4,6,3,5,-1,2]
[6,3,1,4,5,2]=>[4,-1,3,5,6,2]
[6,3,1,5,2,4]=>[4,6,3,-1,5,2]
[6,3,1,5,4,2]=>[4,-1,3,6,5,2]
[6,3,2,1,4,5]=>[5,4,3,6,-1,2]
[6,3,2,1,5,4]=>[5,4,3,-1,6,2]
[6,3,2,4,1,5]=>[6,4,3,5,-1,2]
[6,3,2,4,5,1]=>[-1,4,3,5,6,2]
[6,3,2,5,1,4]=>[6,4,3,-1,5,2]
[6,3,2,5,4,1]=>[-1,4,3,6,5,2]
[6,3,4,1,2,5]=>[5,6,3,4,-1,2]
[6,3,4,1,5,2]=>[5,-1,3,4,6,2]
[6,3,4,2,1,5]=>[6,5,3,4,-1,2]
[6,3,4,2,5,1]=>[-1,5,3,4,6,2]
[6,3,4,5,1,2]=>[6,-1,3,4,5,2]
[6,3,4,5,2,1]=>[-1,6,3,4,5,2]
[6,3,5,1,2,4]=>[5,6,3,-1,4,2]
[6,3,5,1,4,2]=>[5,-1,3,6,4,2]
[6,3,5,2,1,4]=>[6,5,3,-1,4,2]
[6,3,5,2,4,1]=>[-1,5,3,6,4,2]
[6,3,5,4,1,2]=>[6,-1,3,5,4,2]
[6,3,5,4,2,1]=>[-1,6,3,5,4,2]
[6,4,1,2,3,5]=>[4,5,6,3,-1,2]
[6,4,1,2,5,3]=>[4,5,-1,3,6,2]
[6,4,1,3,2,5]=>[4,6,5,3,-1,2]
[6,4,1,3,5,2]=>[4,-1,5,3,6,2]
[6,4,1,5,2,3]=>[4,6,-1,3,5,2]
[6,4,1,5,3,2]=>[4,-1,6,3,5,2]
[6,4,2,1,3,5]=>[5,4,6,3,-1,2]
[6,4,2,1,5,3]=>[5,4,-1,3,6,2]
[6,4,2,3,1,5]=>[6,4,5,3,-1,2]
[6,4,2,3,5,1]=>[-1,4,5,3,6,2]
[6,4,2,5,1,3]=>[6,4,-1,3,5,2]
[6,4,2,5,3,1]=>[-1,4,6,3,5,2]
[6,4,3,1,2,5]=>[5,6,4,3,-1,2]
[6,4,3,1,5,2]=>[5,-1,4,3,6,2]
[6,4,3,2,1,5]=>[6,5,4,3,-1,2]
[6,4,3,2,5,1]=>[-1,5,4,3,6,2]
[6,4,3,5,1,2]=>[6,-1,4,3,5,2]
[6,4,3,5,2,1]=>[-1,6,4,3,5,2]
[6,4,5,1,2,3]=>[5,6,-1,3,4,2]
[6,4,5,1,3,2]=>[5,-1,6,3,4,2]
[6,4,5,2,1,3]=>[6,5,-1,3,4,2]
[6,4,5,2,3,1]=>[-1,5,6,3,4,2]
[6,4,5,3,1,2]=>[6,-1,5,3,4,2]
[6,4,5,3,2,1]=>[-1,6,5,3,4,2]
[6,5,1,2,3,4]=>[4,5,6,-1,3,2]
[6,5,1,2,4,3]=>[4,5,-1,6,3,2]
[6,5,1,3,2,4]=>[4,6,5,-1,3,2]
[6,5,1,3,4,2]=>[4,-1,5,6,3,2]
[6,5,1,4,2,3]=>[4,6,-1,5,3,2]
[6,5,1,4,3,2]=>[4,-1,6,5,3,2]
[6,5,2,1,3,4]=>[5,4,6,-1,3,2]
[6,5,2,1,4,3]=>[5,4,-1,6,3,2]
[6,5,2,3,1,4]=>[6,4,5,-1,3,2]
[6,5,2,3,4,1]=>[-1,4,5,6,3,2]
[6,5,2,4,1,3]=>[6,4,-1,5,3,2]
[6,5,2,4,3,1]=>[-1,4,6,5,3,2]
[6,5,3,1,2,4]=>[5,6,4,-1,3,2]
[6,5,3,1,4,2]=>[5,-1,4,6,3,2]
[6,5,3,2,1,4]=>[6,5,4,-1,3,2]
[6,5,3,2,4,1]=>[-1,5,4,6,3,2]
[6,5,3,4,1,2]=>[6,-1,4,5,3,2]
[6,5,3,4,2,1]=>[-1,6,4,5,3,2]
[6,5,4,1,2,3]=>[5,6,-1,4,3,2]
[6,5,4,1,3,2]=>[5,-1,6,4,3,2]
[6,5,4,2,1,3]=>[6,5,-1,4,3,2]
[6,5,4,2,3,1]=>[-1,5,6,4,3,2]
[6,5,4,3,1,2]=>[6,-1,5,4,3,2]
[6,5,4,3,2,1]=>[-1,6,5,4,3,2]
[-6,-4,-2,1,3,5]=>[5,-4,6,-3,-1,-2]
[4,6,-3,1,2,5]=>[5,6,-4,2,-1,3]
[-3,2,-6,-4,1,5]=>[6,3,-2,-5,-1,-4]
[3,2,6,-5,1,4]=>[6,3,2,-1,-5,4]
[-5,-3,2,4,-6,1]=>[-1,4,-3,5,-2,-6]
[4,5,2,3,-6,1]=>[-1,4,5,2,3,-6]
[2,-6,-4,-5,1,3]=>[6,2,-1,-4,-5,-3]
[-6,-5,1,-4,2,3]=>[4,6,-1,-5,-3,-2]
[-5,3,6,1,2,4]=>[5,6,3,-1,-2,4]
[2,6,-5,1,3,4]=>[5,2,6,-1,-4,3]
[-5,4,-6,-2,1,3]=>[6,-5,-1,3,-2,-4]
[4,-5,-6,-3,1,2]=>[6,-1,-5,2,-3,-4]
[3,6,5,-4,1,2]=>[6,-1,2,-5,4,3]
[4,6,-5,3,1,2]=>[6,-1,5,2,-4,3]
[-4,3,-5,2,-6,1]=>[-1,5,3,-2,-4,-6]
[6,2,3,4,5,-1]=>[1,3,4,5,6,2]
[5,2,3,4,6,-1]=>[1,3,4,5,2,6]
[4,2,3,6,5,-1]=>[1,3,4,2,6,5]
[5,2,3,6,4,-1]=>[1,3,4,6,2,5]
[4,2,3,5,6,-1]=>[1,3,4,2,5,6]
[3,2,6,4,5,-1]=>[1,3,2,5,6,4]
[3,2,5,4,6,-1]=>[1,3,2,5,4,6]
[4,2,6,3,5,-1]=>[1,3,5,2,6,4]
[5,2,6,3,4,-1]=>[1,3,5,6,2,4]
[4,2,5,3,6,-1]=>[1,3,5,2,4,6]
[3,2,4,6,5,-1]=>[1,3,2,4,6,5]
[3,2,5,6,4,-1]=>[1,3,2,6,4,5]
[4,2,5,6,3,-1]=>[1,3,6,2,4,5]
[3,2,4,5,6,-1]=>[1,3,2,4,5,6]
[2,6,3,4,5,-1]=>[1,2,4,5,6,3]
[2,5,3,4,6,-1]=>[1,2,4,5,3,6]
[2,4,3,6,5,-1]=>[1,2,4,3,6,5]
[2,5,3,6,4,-1]=>[1,2,4,6,3,5]
[2,4,3,5,6,-1]=>[1,2,4,3,5,6]
[3,6,2,4,5,-1]=>[1,4,2,5,6,3]
[3,5,2,4,6,-1]=>[1,4,2,5,3,6]
[4,6,2,3,5,-1]=>[1,4,5,2,6,3]
[5,6,2,3,4,-1]=>[1,4,5,6,2,3]
[4,5,2,3,6,-1]=>[1,4,5,2,3,6]
[3,4,2,6,5,-1]=>[1,4,2,3,6,5]
[3,5,2,6,4,-1]=>[1,4,2,6,3,5]
[4,5,2,6,3,-1]=>[1,4,6,2,3,5]
[3,4,2,5,6,-1]=>[1,4,2,3,5,6]
[2,3,6,4,5,-1]=>[1,2,3,5,6,4]
[2,3,5,4,6,-1]=>[1,2,3,5,4,6]
[2,4,6,3,5,-1]=>[1,2,5,3,6,4]
[2,5,6,3,4,-1]=>[1,2,5,6,3,4]
[2,4,5,3,6,-1]=>[1,2,5,3,4,6]
[3,4,6,2,5,-1]=>[1,5,2,3,6,4]
[3,5,6,2,4,-1]=>[1,5,2,6,3,4]
[4,5,6,2,3,-1]=>[1,5,6,2,3,4]
[3,4,5,2,6,-1]=>[1,5,2,3,4,6]
[2,3,4,6,5,-1]=>[1,2,3,4,6,5]
[2,3,5,6,4,-1]=>[1,2,3,6,4,5]
[2,4,5,6,3,-1]=>[1,2,6,3,4,5]
[3,4,5,6,2,-1]=>[1,6,2,3,4,5]
[2,3,4,5,6,-1]=>[1,2,3,4,5,6]
[2,-6,-4,1,3,5]=>[5,2,6,-4,-1,-3]
[4,-6,-2,1,3,5]=>[5,-4,6,2,-1,-3]
[2,6,-4,1,3,5]=>[5,2,6,-4,-1,3]
[-4,2,-6,1,3,5]=>[5,3,6,-2,-1,-4]
[-4,-2,1,3,5,6]=>[4,-3,5,-2,6,-1]
[2,-4,1,3,5,6]=>[4,2,5,-3,6,-1]
[-5,-4,-2,1,3,6]=>[5,-4,6,-3,-2,-1]
[2,-5,-4,1,3,6]=>[5,2,6,-4,-3,-1]
[2,5,-4,1,3,6]=>[5,2,6,-4,3,-1]
[-6,-5,-4,-2,1,3]=>[6,-5,-1,-4,-3,-2]
[2,-6,-5,-4,1,3]=>[6,2,-1,-5,-4,-3]
[2,6,-5,-4,1,3]=>[6,2,-1,-5,-4,3]
[2,5,6,-4,1,3]=>[6,2,-1,-5,3,4]
[2,-6,-5,1,3,4]=>[5,2,6,-1,-4,-3]
[-2,-6,-5,1,3,4]=>[5,-2,6,-1,-4,-3]
[-6,2,-5,1,3,4]=>[5,3,6,-1,-4,-2]
[6,2,-5,1,3,4]=>[5,3,6,-1,-4,2]
[2,-5,1,3,4,6]=>[4,2,5,6,-3,-1]
[-2,-5,1,3,4,6]=>[4,-2,5,6,-3,-1]
[-5,-2,1,3,4,6]=>[4,-3,5,6,-2,-1]
[-5,-3,-2,1,4,6]=>[5,-4,-3,6,-2,-1]
[3,-5,-2,1,4,6]=>[5,-4,2,6,-3,-1]
[-6,-5,-2,1,3,4]=>[5,-4,6,-1,-3,-2]
[-6,-5,-3,-2,1,4]=>[6,-5,-4,-1,-3,-2]
[3,-6,-5,-2,1,4]=>[6,-5,2,-1,-4,-3]
[3,6,-5,-2,1,4]=>[6,-5,2,-1,-4,3]
[-2,-6,1,3,4,5]=>[4,-2,5,6,-1,-3]
[-6,2,1,3,4,5]=>[4,3,5,6,-1,-2]
[2,-6,1,3,4,5]=>[4,2,5,6,-1,-3]
[3,-6,-2,1,4,5]=>[5,-4,2,6,-1,-3]
[2,3,-6,1,4,5]=>[5,2,3,6,-1,-4]
[-6,-2,1,3,4,5]=>[4,-3,5,6,-1,-2]
[-6,-3,-2,1,4,5]=>[5,-4,-3,6,-1,-2]
[-6,-4,-3,-2,1,5]=>[6,-5,-4,-3,-1,-2]
[4,-6,-3,-2,1,5]=>[6,-5,-4,2,-1,-3]
[-2,1,3,4,5,6]=>[3,-2,4,5,6,-1]
[-3,-2,1,4,5,6]=>[4,-3,-2,5,6,-1]
[-4,-3,-2,1,5,6]=>[5,-4,-3,-2,6,-1]
[-5,-4,-3,-2,1,6]=>[6,-5,-4,-3,-2,-1]
[-6,-5,-4,-3,-2,1]=>[-1,-6,-5,-4,-3,-2]
[6,-4,-3,1,2,5]=>[5,6,-4,-3,-1,2]
[-4,-6,-3,1,2,5]=>[5,6,-4,-2,-1,-3]
[-6,3,4,1,2,5]=>[5,6,3,4,-1,-2]
[4,-3,1,2,5,6]=>[4,5,-3,2,6,-1]
[5,-4,-3,1,2,6]=>[5,6,-4,-3,2,-1]
[4,5,-3,1,2,6]=>[5,6,-4,2,3,-1]
[6,-5,-4,-3,1,2]=>[6,-1,-5,-4,-3,2]
[5,6,-4,-3,1,2]=>[6,-1,-5,-4,2,3]
[4,5,6,-3,1,2]=>[6,-1,-5,2,3,4]
[5,6,-3,1,2,4]=>[5,6,-4,-1,2,3]
[-3,6,-5,1,2,4]=>[5,6,-2,-1,-4,3]
[-6,-5,3,1,2,4]=>[5,6,4,-1,-3,-2]
[-5,3,1,2,4,6]=>[4,5,3,6,-2,-1]
[5,-3,1,2,4,6]=>[4,5,-3,6,2,-1]
[-5,-3,1,2,4,6]=>[4,5,-3,6,-2,-1]
[3,-5,1,2,4,6]=>[4,5,2,6,-3,-1]
[6,-5,-3,1,2,4]=>[5,6,-4,-1,-3,2]
[-6,-5,-3,1,2,4]=>[5,6,-4,-1,-3,-2]
[3,-6,-5,1,2,4]=>[5,6,2,-1,-4,-3]
[3,6,-5,1,2,4]=>[5,6,2,-1,-4,3]
[-6,3,1,2,4,5]=>[4,5,3,6,-1,-2]
[3,-6,1,2,4,5]=>[4,5,2,6,-1,-3]
[-3,-6,1,2,4,5]=>[4,5,-2,6,-1,-3]
[6,-3,1,2,4,5]=>[4,5,-3,6,-1,2]
[-6,-3,1,2,4,5]=>[4,5,-3,6,-1,-2]
[-6,-4,-3,1,2,5]=>[5,6,-4,-3,-1,-2]
[4,-6,-3,1,2,5]=>[5,6,-4,2,-1,-3]
[-3,1,2,4,5,6]=>[3,4,-2,5,6,-1]
[-4,-3,1,2,5,6]=>[4,5,-3,-2,6,-1]
[-5,-4,-3,1,2,6]=>[5,6,-4,-3,-2,-1]
[-6,-5,-4,-3,1,2]=>[6,-1,-5,-4,-3,-2]
[-5,6,-4,1,2,3]=>[5,6,-1,-4,-2,3]
[-6,1,-5,-4,2,3]=>[3,6,-1,-5,-4,-2]
[-4,5,6,1,2,3]=>[5,6,-1,-2,3,4]
[-5,-4,6,1,2,3]=>[5,6,-1,-3,-2,4]
[-4,5,1,2,3,6]=>[4,5,6,-2,3,-1]
[-5,1,-4,2,3,6]=>[3,5,6,-4,-2,-1]
[1,-5,-4,2,3,6]=>[2,5,6,-4,-3,-1]
[5,-4,1,2,3,6]=>[4,5,6,-3,2,-1]
[1,-6,-5,-4,2,3]=>[2,6,-1,-5,-4,-3]
[6,-5,-4,1,2,3]=>[5,6,-1,-4,-3,2]
[5,6,-4,1,2,3]=>[5,6,-1,-4,2,3]
[-6,1,-4,2,3,5]=>[3,5,6,-4,-1,-2]
[4,1,-6,2,3,5]=>[3,5,6,2,-1,-4]
[-4,6,1,2,3,5]=>[4,5,6,-2,-1,3]
[-6,4,1,2,3,5]=>[4,5,6,3,-1,-2]
[1,-6,-4,2,3,5]=>[2,5,6,-4,-1,-3]
[6,-4,1,2,3,5]=>[4,5,6,-3,-1,2]
[-6,-4,1,2,3,5]=>[4,5,6,-3,-1,-2]
[4,-6,1,2,3,5]=>[4,5,6,2,-1,-3]
[1,-4,2,3,5,6]=>[2,4,5,-3,6,-1]
[-4,1,2,3,5,6]=>[3,4,5,-2,6,-1]
[-5,-4,1,2,3,6]=>[4,5,6,-3,-2,-1]
[-6,-5,-4,1,2,3]=>[5,6,-1,-4,-3,-2]
[6,1,-5,2,3,4]=>[3,5,6,-1,-4,2]
[-5,6,1,2,3,4]=>[4,5,6,-1,-2,3]
[-6,1,-5,2,3,4]=>[3,5,6,-1,-4,-2]
[1,6,-5,2,3,4]=>[2,5,6,-1,-4,3]
[1,-6,-5,2,3,4]=>[2,5,6,-1,-4,-3]
[6,-5,1,2,3,4]=>[4,5,6,-1,-3,2]
[1,-5,2,3,4,6]=>[2,4,5,6,-3,-1]
[-5,1,2,3,4,6]=>[3,4,5,6,-2,-1]
[-6,-5,1,2,3,4]=>[4,5,6,-1,-3,-2]
[1,2,-6,3,4,5]=>[2,3,5,6,-1,-4]
[1,-6,2,3,4,5]=>[2,4,5,6,-1,-3]
[-6,1,2,3,4,5]=>[3,4,5,6,-1,-2]
[2,-3,1,4,5,6]=>[4,2,-3,5,6,-1]
[-2,-4,1,3,5,6]=>[4,-2,5,-3,6,-1]
[-4,3,1,2,5,6]=>[4,5,3,-2,6,-1]
[-5,2,1,3,4,6]=>[4,3,5,6,-2,-1]
[4,1,-5,2,3,6]=>[3,5,6,2,-4,-1]
[-2,1,-6,3,4,5]=>[3,-2,5,6,-1,-4]
[3,1,-6,2,4,5]=>[3,5,2,6,-1,-4]
[1,-4,-6,2,3,5]=>[2,5,6,-3,-1,-4]
[1,-6,5,2,3,4]=>[2,5,6,-1,4,-3]
[2,5,-3,1,4,6]=>[5,2,-4,6,3,-1]
[-5,2,-4,1,3,6]=>[5,3,6,-4,-2,-1]
[-4,3,5,1,2,6]=>[5,6,3,-2,4,-1]
[4,2,-5,1,3,6]=>[5,3,6,2,-4,-1]
[-3,2,-6,1,4,5]=>[5,3,-2,6,-1,-4]
[6,2,-4,1,3,5]=>[5,3,6,-4,-1,2]
[-6,-4,3,1,2,5]=>[5,6,4,-3,-1,-2]
[6,-2,-5,1,3,4]=>[5,-3,6,-1,-4,2]
[6,-5,3,1,2,4]=>[5,6,4,-1,-3,2]
[6,-4,1,-5,2,3]=>[4,6,-1,-3,-5,2]
[3,-6,4,1,2,5]=>[5,6,2,4,-1,-3]
[-2,-5,-6,1,3,4]=>[5,-2,6,-1,-3,-4]
[-5,-6,3,1,2,4]=>[5,6,4,-1,-2,-3]
[4,5,1,-6,2,3]=>[4,6,-1,2,3,-5]
[-3,2,-4,1,5,6]=>[5,3,-2,-4,6,-1]
[3,2,-5,1,4,6]=>[5,3,2,6,-4,-1]
[2,-4,-5,1,3,6]=>[5,2,6,-3,-4,-1]
[4,-5,3,1,2,6]=>[5,6,4,2,-3,-1]
[2,-3,-6,1,4,5]=>[5,2,-3,6,-1,-4]
[-2,-4,-6,1,3,5]=>[5,-2,6,-3,-1,-4]
[-4,-6,3,1,2,5]=>[5,6,4,-2,-1,-3]
[-5,-6,2,1,3,4]=>[5,4,6,-1,-2,-3]
[-6,5,3,1,2,4]=>[5,6,4,-1,3,-2]
[-5,4,1,-6,2,3]=>[4,6,-1,3,-2,-5]
[-5,-3,2,-6,1,4]=>[6,4,-3,-1,-2,-5]
[5,-6,2,-4,1,3]=>[6,4,-1,-5,2,-3]
[4,-6,3,5,1,2]=>[6,-1,4,2,5,-3]
[-4,-6,2,-5,1,3]=>[6,4,-1,-2,-5,-3]
[-3,2,6,-4,1,5]=>[6,3,-2,-5,-1,4]
[6,-4,2,-5,1,3]=>[6,4,-1,-3,-5,2]
[4,-5,3,6,1,2]=>[6,-1,4,2,-3,5]
[5,-3,2,-6,1,4]=>[6,4,-3,-1,2,-5]
[4,5,2,-6,1,3]=>[6,4,-1,2,3,-5]
[-4,-6,3,5,1,2]=>[6,-1,4,-2,5,-3]
[-5,4,2,-6,1,3]=>[6,4,-1,3,-2,-5]
[-6,5,3,4,1,2]=>[6,-1,4,5,3,-2]
[3,-4,2,-5,1,6]=>[6,4,2,-3,-5,-1]
[-3,-4,2,-6,1,5]=>[6,4,-2,-3,-1,-5]
[-5,3,2,-6,1,4]=>[6,4,3,-1,-2,-5]
[-4,2,-5,-6,1,3]=>[6,3,-1,-2,-4,-5]
[-5,4,-6,3,1,2]=>[6,-1,5,3,-2,-4]
[2,3,4,5,-1,6]=>[-6,2,3,4,5,-1]
[2,3,4,-1,5,6]=>[-5,2,3,4,6,-1]
[2,3,4,-1,6,5]=>[-5,2,3,4,-1,6]
[2,3,5,4,-1,6]=>[-6,2,3,5,4,-1]
[2,3,-1,4,5,6]=>[-4,2,3,5,6,-1]
[2,3,-1,4,6,5]=>[-4,2,3,5,-1,6]
[2,3,6,5,4,-1]=>[1,2,3,6,5,4]
[2,3,-1,5,4,6]=>[-4,2,3,6,5,-1]
[2,3,-1,6,4,5]=>[-4,2,3,6,-1,5]
[2,3,-1,6,5,4]=>[-4,2,3,-1,6,5]
[2,4,3,5,-1,6]=>[-6,2,4,3,5,-1]
[2,4,3,-1,5,6]=>[-5,2,4,3,6,-1]
[2,4,3,-1,6,5]=>[-5,2,4,3,-1,6]
[2,5,3,4,-1,6]=>[-6,2,4,5,3,-1]
[2,-1,3,4,5,6]=>[-3,2,4,5,6,-1]
[2,-1,3,4,6,5]=>[-3,2,4,5,-1,6]
[2,6,3,5,4,-1]=>[1,2,4,6,5,3]
[2,-1,3,5,4,6]=>[-3,2,4,6,5,-1]
[2,-1,3,6,4,5]=>[-3,2,4,6,-1,5]
[2,-1,3,6,5,4]=>[-3,2,4,-1,6,5]
[2,5,4,3,6,-1]=>[1,2,5,4,3,6]
[2,5,4,3,-1,6]=>[-6,2,5,4,3,-1]
[2,6,4,3,5,-1]=>[1,2,5,4,6,3]
[2,-1,4,3,5,6]=>[-3,2,5,4,6,-1]
[2,-1,4,3,6,5]=>[-3,2,5,4,-1,6]
[2,6,5,3,4,-1]=>[1,2,5,6,4,3]
[2,-1,5,3,4,6]=>[-3,2,5,6,4,-1]
[2,-1,6,3,4,5]=>[-3,2,5,6,-1,4]
[2,-1,6,3,5,4]=>[-3,2,5,-1,6,4]
[2,6,5,4,3,-1]=>[1,2,6,5,4,3]
[2,-1,5,4,3,6]=>[-3,2,6,5,4,-1]
[2,-1,6,4,3,5]=>[-3,2,6,5,-1,4]
[2,-1,6,5,3,4]=>[-3,2,6,-1,5,4]
[2,-1,6,5,4,3]=>[-3,2,-1,6,5,4]
[3,2,4,5,-1,6]=>[-6,3,2,4,5,-1]
[3,2,4,-1,5,6]=>[-5,3,2,4,6,-1]
[3,2,4,-1,6,5]=>[-5,3,2,4,-1,6]
[3,2,5,4,-1,6]=>[-6,3,2,5,4,-1]
[3,2,-1,4,5,6]=>[-4,3,2,5,6,-1]
[3,2,-1,4,6,5]=>[-4,3,2,5,-1,6]
[3,2,6,5,4,-1]=>[1,3,2,6,5,4]
[3,2,-1,5,4,6]=>[-4,3,2,6,5,-1]
[3,2,-1,6,4,5]=>[-4,3,2,6,-1,5]
[3,2,-1,6,5,4]=>[-4,3,2,-1,6,5]
[4,2,3,5,-1,6]=>[-6,3,4,2,5,-1]
[4,2,3,-1,5,6]=>[-5,3,4,2,6,-1]
[4,2,3,-1,6,5]=>[-5,3,4,2,-1,6]
[5,2,3,4,-1,6]=>[-6,3,4,5,2,-1]
[-1,2,3,4,5,6]=>[-2,3,4,5,6,-1]
[-1,2,3,4,6,5]=>[-2,3,4,5,-1,6]
[6,2,3,5,4,-1]=>[1,3,4,6,5,2]
[-1,2,3,5,4,6]=>[-2,3,4,6,5,-1]
[-1,2,3,6,4,5]=>[-2,3,4,6,-1,5]
[-1,2,3,6,5,4]=>[-2,3,4,-1,6,5]
[5,2,4,3,6,-1]=>[1,3,5,4,2,6]
[5,2,4,3,-1,6]=>[-6,3,5,4,2,-1]
[6,2,4,3,5,-1]=>[1,3,5,4,6,2]
[-1,2,4,3,5,6]=>[-2,3,5,4,6,-1]
[-1,2,4,3,6,5]=>[-2,3,5,4,-1,6]
[6,2,5,3,4,-1]=>[1,3,5,6,4,2]
[-1,2,5,3,4,6]=>[-2,3,5,6,4,-1]
[-1,2,6,3,4,5]=>[-2,3,5,6,-1,4]
[-1,2,6,3,5,4]=>[-2,3,5,-1,6,4]
[6,2,5,4,3,-1]=>[1,3,6,5,4,2]
[-1,2,5,4,3,6]=>[-2,3,6,5,4,-1]
[-1,2,6,4,3,5]=>[-2,3,6,5,-1,4]
[-1,2,6,5,3,4]=>[-2,3,6,-1,5,4]
[-1,2,6,5,4,3]=>[-2,3,-1,6,5,4]
[4,3,2,5,6,-1]=>[1,4,3,2,5,6]
[4,3,2,5,-1,6]=>[-6,4,3,2,5,-1]
[4,3,2,6,5,-1]=>[1,4,3,2,6,5]
[4,3,2,-1,5,6]=>[-5,4,3,2,6,-1]
[4,3,2,-1,6,5]=>[-5,4,3,2,-1,6]
[5,3,2,4,6,-1]=>[1,4,3,5,2,6]
[5,3,2,4,-1,6]=>[-6,4,3,5,2,-1]
[6,3,2,4,5,-1]=>[1,4,3,5,6,2]
[-1,3,2,4,5,6]=>[-2,4,3,5,6,-1]
[-1,3,2,4,6,5]=>[-2,4,3,5,-1,6]
[6,3,2,5,4,-1]=>[1,4,3,6,5,2]
[-1,3,2,5,4,6]=>[-2,4,3,6,5,-1]
[-1,3,2,6,4,5]=>[-2,4,3,6,-1,5]
[-1,3,2,6,5,4]=>[-2,4,3,-1,6,5]
[5,4,2,3,6,-1]=>[1,4,5,3,2,6]
[5,4,2,3,-1,6]=>[-6,4,5,3,2,-1]
[6,4,2,3,5,-1]=>[1,4,5,3,6,2]
[-1,4,2,3,5,6]=>[-2,4,5,3,6,-1]
[-1,4,2,3,6,5]=>[-2,4,5,3,-1,6]
[6,5,2,3,4,-1]=>[1,4,5,6,3,2]
[-1,5,2,3,4,6]=>[-2,4,5,6,3,-1]
[-1,6,2,3,4,5]=>[-2,4,5,6,-1,3]
[-1,6,2,3,5,4]=>[-2,4,5,-1,6,3]
[6,5,2,4,3,-1]=>[1,4,6,5,3,2]
[-1,5,2,4,3,6]=>[-2,4,6,5,3,-1]
[-1,6,2,4,3,5]=>[-2,4,6,5,-1,3]
[-1,6,2,5,3,4]=>[-2,4,6,-1,5,3]
[-1,6,2,5,4,3]=>[-2,4,-1,6,5,3]
[5,4,3,2,6,-1]=>[1,5,4,3,2,6]
[5,4,3,2,-1,6]=>[-6,5,4,3,2,-1]
[6,4,3,2,5,-1]=>[1,5,4,3,6,2]
[-1,4,3,2,5,6]=>[-2,5,4,3,6,-1]
[-1,4,3,2,6,5]=>[-2,5,4,3,-1,6]
[6,5,3,2,4,-1]=>[1,5,4,6,3,2]
[-1,5,3,2,4,6]=>[-2,5,4,6,3,-1]
[-1,6,3,2,4,5]=>[-2,5,4,6,-1,3]
[-1,6,3,2,5,4]=>[-2,5,4,-1,6,3]
[6,5,4,2,3,-1]=>[1,5,6,4,3,2]
[-1,5,4,2,3,6]=>[-2,5,6,4,3,-1]
[-1,6,4,2,3,5]=>[-2,5,6,4,-1,3]
[-1,6,5,2,3,4]=>[-2,5,6,-1,4,3]
[-1,6,5,2,4,3]=>[-2,5,-1,6,4,3]
[6,5,4,3,2,-1]=>[1,6,5,4,3,2]
[-1,5,4,3,2,6]=>[-2,6,5,4,3,-1]
[-1,6,4,3,2,5]=>[-2,6,5,4,-1,3]
[-1,6,5,3,2,4]=>[-2,6,5,-1,4,3]
[-1,6,5,4,2,3]=>[-2,6,-1,5,4,3]
[-1,6,5,4,3,2]=>[-2,-1,6,5,4,3]
[3,4,5,6,-1,2]=>[-6,-1,2,3,4,5]
[3,4,5,-1,2,6]=>[-5,6,2,3,4,-1]
[3,4,6,2,-1,5]=>[-6,5,2,3,-1,4]
[3,4,6,-1,5,2]=>[-5,-1,2,3,6,4]
[3,4,-1,2,5,6]=>[-4,5,2,3,6,-1]
[3,5,2,6,-1,4]=>[-6,4,2,-1,3,5]
[3,5,2,-1,4,6]=>[-5,4,2,6,3,-1]
[3,5,6,4,-1,2]=>[-6,-1,2,5,3,4]
[3,5,6,-1,4,2]=>[-5,-1,2,6,3,4]
[3,5,-1,4,2,6]=>[-4,6,2,5,3,-1]
[3,6,2,4,-1,5]=>[-6,4,2,5,-1,3]
[3,6,2,-1,5,4]=>[-5,4,2,-1,6,3]
[3,6,-1,4,5,2]=>[-4,-1,2,5,6,3]
[3,-1,2,4,5,6]=>[-3,4,2,5,6,-1]
[4,2,5,6,-1,3]=>[-6,3,-1,2,4,5]
[4,2,5,-1,3,6]=>[-5,3,6,2,4,-1]
[4,2,6,3,-1,5]=>[-6,3,5,2,-1,4]
[4,2,6,-1,5,3]=>[-5,3,-1,2,6,4]
[4,2,-1,3,5,6]=>[-4,3,5,2,6,-1]
[4,5,3,6,-1,2]=>[-6,-1,4,2,3,5]
[4,5,3,-1,2,6]=>[-5,6,4,2,3,-1]
[4,5,6,3,-1,2]=>[-6,-1,5,2,3,4]
[4,5,6,-1,2,3]=>[-5,6,-1,2,3,4]
[4,5,-1,3,2,6]=>[-4,6,5,2,3,-1]
[4,6,3,2,-1,5]=>[-6,5,4,2,-1,3]
[4,6,3,-1,5,2]=>[-5,-1,4,2,6,3]
[4,6,-1,3,5,2]=>[-4,-1,5,2,6,3]
[4,-1,3,2,5,6]=>[-3,5,4,2,6,-1]
[5,2,3,6,-1,4]=>[-6,3,4,-1,2,5]
[5,2,3,-1,4,6]=>[-5,3,4,6,2,-1]
[5,2,6,4,-1,3]=>[-6,3,-1,5,2,4]
[5,2,6,-1,4,3]=>[-5,3,-1,6,2,4]
[5,2,-1,4,3,6]=>[-4,3,6,5,2,-1]
[5,6,3,4,-1,2]=>[-6,-1,4,5,2,3]
[5,6,3,-1,4,2]=>[-5,-1,4,6,2,3]
[5,6,-1,4,3,2]=>[-4,-1,6,5,2,3]
[5,-1,3,4,2,6]=>[-3,6,4,5,2,-1]
[6,2,3,4,-1,5]=>[-6,3,4,5,-1,2]
[6,2,3,-1,5,4]=>[-5,3,4,-1,6,2]
[6,2,-1,4,5,3]=>[-4,3,-1,5,6,2]
[6,-1,3,4,5,2]=>[-3,-1,4,5,6,2]
[-2,-3,-4,-5,-6,1]=>[-1,-2,-3,-4,-5,-6]
[2,-3,-4,-6,-5,1]=>[-1,2,-3,-4,-6,-5]
[3,2,-5,-4,-6,1]=>[-1,3,2,-5,-4,-6]
[-3,2,-6,-4,-5,1]=>[-1,3,-2,-5,-6,-4]
[3,2,-6,-5,-4,1]=>[-1,3,2,-6,-5,-4]
[-3,4,2,-5,-6,1]=>[-1,4,-2,3,-5,-6]
[3,4,2,-6,-5,1]=>[-1,4,2,3,-6,-5]
[-5,-3,2,-6,-4,1]=>[-1,4,-3,-6,-2,-5]
[4,5,2,-6,-3,1]=>[-1,4,-6,2,3,-5]
[-6,-3,2,-4,-5,1]=>[-1,4,-3,-5,-6,-2]
[6,-3,2,-5,-4,1]=>[-1,4,-3,-6,-5,2]
[4,6,2,-3,-5,1]=>[-1,4,-5,2,-6,3]
[-5,6,2,-3,-4,1]=>[-1,4,-5,-6,-2,3]
[5,6,2,-4,-3,1]=>[-1,4,-6,-5,2,3]
[-4,-5,2,3,-6,1]=>[-1,4,5,-2,-3,-6]
[4,-6,2,3,-5,1]=>[-1,4,5,2,-6,-3]
[-4,6,2,3,-5,1]=>[-1,4,5,-2,-6,3]
[5,6,2,3,-4,1]=>[-1,4,5,-6,2,3]
[-2,-5,-6,4,-3,1]=>[-1,-2,-6,5,-3,-4]
[-3,-6,2,4,-5,1]=>[-1,4,-2,5,-6,-3]
[2,5,3,4,-6,1]=>[-1,2,4,5,3,-6]
[5,6,3,4,-2,1]=>[-1,-6,4,5,2,3]
[-2,-3,-6,5,-4,1]=>[-1,-2,-3,-6,5,-4]
[4,-3,2,5,-6,1]=>[-1,4,-3,2,5,-6]
[4,2,3,5,-6,1]=>[-1,3,4,2,5,-6]
[2,-6,4,5,-3,1]=>[-1,2,-6,4,5,-3]
[3,6,4,5,-2,1]=>[-1,-6,2,4,5,3]
[-2,-3,-4,6,-5,1]=>[-1,-2,-3,-4,-6,5]
[2,-3,-5,6,-4,1]=>[-1,2,-3,-6,-4,5]
[4,2,-3,6,-5,1]=>[-1,3,-4,2,-6,5]
[-5,2,-3,6,-4,1]=>[-1,3,-4,-6,-2,5]
[5,2,-4,6,-3,1]=>[-1,3,-6,-4,2,5]
[-4,2,3,6,-5,1]=>[-1,3,4,-2,-6,5]
[5,2,3,6,-4,1]=>[-1,3,4,-6,2,5]
[-2,-5,4,6,-3,1]=>[-1,-2,-6,4,-3,5]
[5,3,4,6,-2,1]=>[-1,-6,3,4,2,5]
[-2,-3,5,6,-4,1]=>[-1,-2,-3,-6,4,5]
[2,-4,5,6,-3,1]=>[-1,2,-6,-3,4,5]
[2,3,5,6,-4,1]=>[-1,2,3,-6,4,5]
[-2,4,5,6,-3,1]=>[-1,-2,-6,3,4,5]
[3,4,5,6,-2,1]=>[-1,-6,2,3,4,5]
[-4,-5,-6,3,1,2]=>[6,-1,5,-2,-3,-4]
[4,-6,-5,3,1,2]=>[6,-1,5,2,-4,-3]
[4,5,-6,3,1,2]=>[6,-1,5,2,3,-4]
[-4,6,-5,3,1,2]=>[6,-1,5,-2,-4,3]
[5,6,-4,3,1,2]=>[6,-1,5,-4,2,3]
[-6,-4,3,5,1,2]=>[6,-1,4,-3,5,-2]
[-4,-5,3,6,1,2]=>[6,-1,4,-2,-3,5]
[5,-4,3,6,1,2]=>[6,-1,4,-3,2,5]
[-4,3,5,6,1,2]=>[6,-1,3,-2,4,5]
[-4,-5,-6,-2,1,3]=>[6,-5,-1,-2,-3,-4]
[-4,-6,-5,2,1,3]=>[6,5,-1,-2,-4,-3]
[2,-4,-6,5,1,3]=>[6,2,-1,-3,5,-4]
[6,-4,-5,2,1,3]=>[6,5,-1,-3,-4,2]
[2,-5,-4,6,1,3]=>[6,2,-1,-4,-3,5]
[-6,5,1,4,2,3]=>[4,6,-1,5,3,-2]
[-2,-5,-6,-3,1,4]=>[6,-2,-5,-1,-3,-4]
[2,-6,-5,-3,1,4]=>[6,2,-5,-1,-4,-3]
[5,2,-6,3,1,4]=>[6,3,5,-1,2,-4]
[2,6,-5,3,1,4]=>[6,2,5,-1,-4,3]
[-6,5,-2,1,3,4]=>[5,-4,6,-1,3,-2]
[-5,6,2,1,3,4]=>[5,4,6,-1,-2,3]
[-2,-3,-6,-4,1,5]=>[6,-2,-3,-5,-1,-4]
[4,2,-6,-3,1,5]=>[6,3,-5,2,-1,-4]
[-4,2,-6,3,1,5]=>[6,3,5,-2,-1,-4]
[-6,-2,4,-3,1,5]=>[6,-3,-5,4,-1,-2]
[3,6,4,-2,1,5]=>[6,-5,2,4,-1,3]
[-6,-2,-3,1,4,5]=>[5,-3,-4,6,-1,-2]
[-6,2,3,1,4,5]=>[5,3,4,6,-1,-2]
[-2,6,1,3,4,5]=>[4,-2,5,6,-1,3]
[-2,-3,-4,-5,1,6]=>[6,-2,-3,-4,-5,-1]
[2,-3,-5,-4,1,6]=>[6,2,-3,-5,-4,-1]
[4,2,-3,-5,1,6]=>[6,3,-4,2,-5,-1]
[-5,2,-3,-4,1,6]=>[6,3,-4,-5,-2,-1]
[5,2,-4,-3,1,6]=>[6,3,-5,-4,2,-1]
[-4,2,3,-5,1,6]=>[6,3,4,-2,-5,-1]
[5,2,3,-4,1,6]=>[6,3,4,-5,2,-1]
[-2,-5,4,-3,1,6]=>[6,-2,-5,4,-3,-1]
[5,3,4,-2,1,6]=>[6,-5,3,4,2,-1]
[-2,-3,5,-4,1,6]=>[6,-2,-3,-5,4,-1]
[2,-4,5,-3,1,6]=>[6,2,-5,-3,4,-1]
[2,3,5,-4,1,6]=>[6,2,3,-5,4,-1]
[-2,4,5,-3,1,6]=>[6,-2,-5,3,4,-1]
[3,4,5,-2,1,6]=>[6,-5,2,3,4,-1]
[-4,-5,3,1,2,6]=>[5,6,4,-2,-3,-1]
[5,-4,3,1,2,6]=>[5,6,4,-3,2,-1]
[-4,-5,-2,1,3,6]=>[5,-4,6,-2,-3,-1]
[-5,-4,2,1,3,6]=>[5,4,6,-3,-2,-1]
[-2,-5,-3,1,4,6]=>[5,-2,-4,6,-3,-1]
[2,-5,3,1,4,6]=>[5,2,4,6,-3,-1]
[5,-2,1,3,4,6]=>[4,-3,5,6,2,-1]
[-2,-3,-4,1,5,6]=>[5,-2,-3,-4,6,-1]
[2,-4,-3,1,5,6]=>[5,2,-4,-3,6,-1]
[2,3,-4,1,5,6]=>[5,2,3,-4,6,-1]
[-2,4,-3,1,5,6]=>[5,-2,-4,3,6,-1]
[3,4,-2,1,5,6]=>[5,-4,2,3,6,-1]
[-2,-3,1,4,5,6]=>[4,-2,-3,5,6,-1]
[3,-2,1,4,5,6]=>[4,-3,2,5,6,-1]
[5,-6,1,2,3,4]=>[4,5,6,-1,2,-3]
[5,-6,-4,1,2,3]=>[5,6,-1,-4,2,-3]
[4,-5,1,2,3,6]=>[4,5,6,2,-3,-1]
[4,-6,-5,1,2,3]=>[5,6,-1,2,-4,-3]
[4,6,-5,1,2,3]=>[5,6,-1,2,-4,3]
[-5,4,-6,1,2,3]=>[5,6,-1,3,-2,-4]
[5,-6,-3,1,2,4]=>[5,6,-4,-1,2,-3]
[5,-6,-4,-3,1,2]=>[6,-1,-5,-4,2,-3]
[4,-5,-3,1,2,6]=>[5,6,-4,2,-3,-1]
[4,-6,-5,-3,1,2]=>[6,-1,-5,2,-4,-3]
[4,6,-5,-3,1,2]=>[6,-1,-5,2,-4,3]
[-5,4,-6,-3,1,2]=>[6,-1,-5,3,-2,-4]
[3,-4,1,2,5,6]=>[4,5,2,-3,6,-1]
[3,-6,-4,1,2,5]=>[5,6,2,-4,-1,-3]
[3,-5,-4,1,2,6]=>[5,6,2,-4,-3,-1]
[3,-6,-5,-4,1,2]=>[6,-1,2,-5,-4,-3]
[3,5,-6,-4,1,2]=>[6,-1,2,-5,3,-4]
[3,5,-4,1,2,6]=>[5,6,2,-4,3,-1]
[3,6,-5,-4,1,2]=>[6,-1,2,-5,-4,3]
[3,5,6,-4,1,2]=>[6,-1,2,-5,3,4]
[-6,3,5,-4,1,2]=>[6,-1,3,-5,4,-2]
[-4,3,-5,1,2,6]=>[5,6,3,-2,-4,-1]
[-4,3,-6,-5,1,2]=>[6,-1,3,-2,-5,-4]
[-4,3,6,-5,1,2]=>[6,-1,3,-2,-5,4]
[-6,-4,3,-5,1,2]=>[6,-1,4,-3,-5,-2]
[4,-5,3,-6,1,2]=>[6,-1,4,2,-3,-5]
[5,-6,-2,1,3,4]=>[5,-4,6,-1,2,-3]
[5,-6,-4,-2,1,3]=>[6,-5,-1,-4,2,-3]
[4,-5,-2,1,3,6]=>[5,-4,6,2,-3,-1]
[4,-6,-5,-2,1,3]=>[6,-5,-1,2,-4,-3]
[4,6,-5,-2,1,3]=>[6,-5,-1,2,-4,3]
[5,-6,-3,-2,1,4]=>[6,-5,-4,-1,2,-3]
[5,-6,-4,-3,-2,1]=>[-1,-6,-5,-4,2,-3]
[4,-5,-3,-2,1,6]=>[6,-5,-4,2,-3,-1]
[4,-6,-5,-3,-2,1]=>[-1,-6,-5,2,-4,-3]
[4,6,-5,-3,-2,1]=>[-1,-6,-5,2,-4,3]
[-5,4,-6,-3,-2,1]=>[-1,-6,-5,3,-2,-4]
[3,-4,-2,1,5,6]=>[5,-4,2,-3,6,-1]
[3,-6,-4,-2,1,5]=>[6,-5,2,-4,-1,-3]
[3,-5,-4,-2,1,6]=>[6,-5,2,-4,-3,-1]
[3,-6,-5,-4,-2,1]=>[-1,-6,2,-5,-4,-3]
[3,5,-6,-4,-2,1]=>[-1,-6,2,-5,3,-4]
[3,5,-4,-2,1,6]=>[6,-5,2,-4,3,-1]
[3,6,-5,-4,-2,1]=>[-1,-6,2,-5,-4,3]
[3,5,6,-4,-2,1]=>[-1,-6,2,-5,3,4]
[-6,3,5,-4,-2,1]=>[-1,-6,3,-5,4,-2]
[-4,3,-5,-2,1,6]=>[6,-5,3,-2,-4,-1]
[-4,3,-6,-5,-2,1]=>[-1,-6,3,-2,-5,-4]
[-4,3,6,-5,-2,1]=>[-1,-6,3,-2,-5,4]
[-6,-4,3,-5,-2,1]=>[-1,-6,4,-3,-5,-2]
[4,-5,3,-6,-2,1]=>[-1,-6,4,2,-3,-5]
[2,-6,-3,1,4,5]=>[5,2,-4,6,-1,-3]
[2,-5,-3,1,4,6]=>[5,2,-4,6,-3,-1]
[2,5,-6,-3,1,4]=>[6,2,-5,-1,3,-4]
[2,-6,-4,-3,1,5]=>[6,2,-5,-4,-1,-3]
[2,-5,-4,-3,1,6]=>[6,2,-5,-4,-3,-1]
[2,-6,-5,-4,-3,1]=>[-1,2,-6,-5,-4,-3]
[2,5,-6,-4,-3,1]=>[-1,2,-6,-5,3,-4]
[2,4,-5,-3,1,6]=>[6,2,-5,3,-4,-1]
[2,4,-6,-5,-3,1]=>[-1,2,-6,3,-5,-4]
[2,4,6,-5,-3,1]=>[-1,2,-6,3,-5,4]
[-5,2,4,-6,-3,1]=>[-1,3,-6,4,-2,-5]
[2,4,-3,1,5,6]=>[5,2,-4,3,6,-1]
[2,6,-4,-3,1,5]=>[6,2,-5,-4,-1,3]
[2,5,-4,-3,1,6]=>[6,2,-5,-4,3,-1]
[2,6,-5,-4,-3,1]=>[-1,2,-6,-5,-4,3]
[-5,2,-6,-4,-3,1]=>[-1,3,-6,-5,-2,-4]
[2,4,5,-3,1,6]=>[6,2,-5,3,4,-1]
[2,5,6,-4,-3,1]=>[-1,2,-6,-5,3,4]
[2,4,5,6,-3,1]=>[-1,2,-6,3,4,5]
[-6,2,4,5,-3,1]=>[-1,3,-6,4,5,-2]
[-5,2,4,-3,1,6]=>[6,3,-5,4,-2,-1]
[-4,2,6,-5,-3,1]=>[-1,3,-6,-2,-5,4]
[-5,2,4,6,-3,1]=>[-1,3,-6,4,-2,5]
[-6,-5,2,4,-3,1]=>[-1,4,-6,5,-3,-2]
[5,-6,2,4,-3,1]=>[-1,4,-6,5,2,-3]
[-3,2,-5,-4,1,6]=>[6,3,-2,-5,-4,-1]
[-3,2,-6,-5,-4,1]=>[-1,3,-2,-6,-5,-4]
[-3,2,5,-6,-4,1]=>[-1,3,-2,-6,4,-5]
[-3,2,5,-4,1,6]=>[6,3,-2,-5,4,-1]
[-3,2,6,-5,-4,1]=>[-1,3,-2,-6,-5,4]
[-3,2,5,6,-4,1]=>[-1,3,-2,-6,4,5]
[-6,-3,2,5,-4,1]=>[-1,4,-3,-6,5,-2]
[-5,-3,2,-4,1,6]=>[6,4,-3,-5,-2,-1]
[-6,-3,2,-5,-4,1]=>[-1,4,-3,-6,-5,-2]
[-5,-3,2,6,-4,1]=>[-1,4,-3,-6,-2,5]
[-6,-5,-3,2,-4,1]=>[-1,5,-4,-6,-3,-2]
[5,-6,-3,2,-4,1]=>[-1,5,-4,-6,2,-3]
[3,-4,2,-6,-5,1]=>[-1,4,2,-3,-6,-5]
[3,-4,2,6,-5,1]=>[-1,4,2,-3,-6,5]
[3,-6,-4,2,-5,1]=>[-1,5,2,-4,-6,-3]
[3,6,-4,2,-5,1]=>[-1,5,2,-4,-6,3]
[-6,1,5,2,3,4]=>[3,5,6,-1,4,-2]
[-6,1,4,2,3,5]=>[3,5,6,4,-1,-2]
[1,-5,-6,2,3,4]=>[2,5,6,-1,-3,-4]
[-6,-4,-5,1,2,3]=>[5,6,-1,-3,-4,-2]
[-6,3,5,1,2,4]=>[5,6,3,-1,4,-2]
[4,-6,5,1,2,3]=>[5,6,-1,2,4,-3]
[5,2,-6,1,3,4]=>[5,3,6,-1,2,-4]
[-6,-3,-5,1,2,4]=>[5,6,-3,-1,-4,-2]
[4,1,-6,-5,2,3]=>[3,6,-1,2,-5,-4]
[-4,3,6,1,2,5]=>[5,6,3,-2,-1,4]
[3,-6,5,1,2,4]=>[5,6,2,-1,4,-3]
[-3,6,-5,-4,1,2]=>[6,-1,-2,-5,-4,3]
[4,2,-6,1,3,5]=>[5,3,6,2,-1,-4]
[2,-5,-6,1,3,4]=>[5,2,6,-1,-3,-4]
[-4,2,-6,-5,1,3]=>[6,3,-1,-2,-5,-4]
[-4,-3,6,-5,1,2]=>[6,-1,-3,-2,-5,4]
[-5,3,-6,-2,1,4]=>[6,-5,3,-1,-2,-4]
[-5,-4,2,-6,1,3]=>[6,4,-1,-3,-2,-5]
[3,-6,4,5,1,2]=>[6,-1,2,4,5,-3]
[5,6,-1,2,3,4]=>[-4,5,6,-1,2,3]
[-2,1,-4,3,-6,5]=>[3,-2,5,-4,-1,-6]
[-2,4,1,3,-6,5]=>[4,-2,5,3,-1,-6]
[-2,1,-4,6,3,5]=>[3,-2,6,-4,-1,5]
[-2,6,1,-4,3,5]=>[4,-2,6,-5,-1,3]
[-2,4,1,6,3,5]=>[4,-2,6,3,-1,5]
[-2,1,-4,3,5,6]=>[3,-2,5,-4,6,-1]
[-2,4,1,3,5,6]=>[4,-2,5,3,6,-1]
[-2,1,5,-4,3,6]=>[3,-2,6,-5,4,-1]
[5,-2,1,-4,3,6]=>[4,-3,6,-5,2,-1]
[-2,4,5,1,3,6]=>[5,-2,6,3,4,-1]
[-2,1,5,6,-4,3]=>[3,-2,-1,-6,4,5]
[5,-2,1,6,-4,3]=>[4,-3,-1,-6,2,5]
[5,6,-2,1,-4,3]=>[5,-4,-1,-6,2,3]
[-2,4,5,6,1,3]=>[6,-2,-1,3,4,5]
[-2,1,-6,3,-5,4]=>[3,-2,5,-1,-6,-4]
[-2,6,1,3,-5,4]=>[4,-2,5,-1,-6,3]
[-2,-5,1,6,3,4]=>[4,-2,6,-1,-3,5]
[-2,6,-5,1,3,4]=>[5,-2,6,-1,-4,3]
[-2,1,5,6,3,4]=>[3,-2,6,-1,4,5]
[-2,1,5,3,4,6]=>[3,-2,5,6,4,-1]
[-2,1,3,-5,4,6]=>[3,-2,4,6,-5,-1]
[3,-2,1,-5,4,6]=>[4,-3,2,6,-5,-1]
[3,-2,5,1,4,6]=>[5,-3,2,6,4,-1]
[-2,1,3,6,-5,4]=>[3,-2,4,-1,-6,5]
[3,-2,1,6,-5,4]=>[4,-3,2,-1,-6,5]
[3,6,-2,1,-5,4]=>[5,-4,2,-1,-6,3]
[3,-2,5,6,1,4]=>[6,-3,2,-1,4,5]
[-2,1,3,6,4,5]=>[3,-2,4,6,-1,5]
[3,-2,-6,1,4,5]=>[5,-3,2,6,-1,-4]
[3,-2,1,6,4,5]=>[4,-3,2,6,-1,5]
[-2,1,3,4,-6,5]=>[3,-2,4,5,-1,-6]
[3,-2,1,4,-6,5]=>[4,-3,2,5,-1,-6]
[3,4,-2,1,-6,5]=>[5,-4,2,3,-1,-6]
[3,4,-2,6,1,5]=>[6,-4,2,3,-1,5]
[-4,1,-3,2,-6,5]=>[3,5,-4,-2,-1,-6]
[3,4,1,2,-6,5]=>[4,5,2,3,-1,-6]
[-4,1,-3,6,2,5]=>[3,6,-4,-2,-1,5]
[-4,6,1,-3,2,5]=>[4,6,-5,-2,-1,3]
[-4,1,-3,2,5,6]=>[3,5,-4,-2,6,-1]
[-4,1,5,-3,2,6]=>[3,6,-5,-2,4,-1]
[5,-4,1,-3,2,6]=>[4,6,-5,-3,2,-1]
[-4,1,5,6,-3,2]=>[3,-1,-6,-2,4,5]
[5,-4,1,6,-3,2]=>[4,-1,-6,-3,2,5]
[5,6,-4,1,-3,2]=>[5,-1,-6,-4,2,3]
[-6,1,-3,2,-5,4]=>[3,5,-4,-1,-6,-2]
[3,6,1,2,-5,4]=>[4,5,2,-1,-6,3]
[5,1,-3,6,2,4]=>[3,6,-4,-1,2,5]
[5,6,1,-3,2,4]=>[4,6,-5,-1,2,3]
[5,1,-3,2,4,6]=>[3,5,-4,6,2,-1]
[3,1,2,-5,4,6]=>[3,4,2,6,-5,-1]
[1,-3,2,-5,4,6]=>[2,4,-3,6,-5,-1]
[1,-3,5,2,4,6]=>[2,5,-3,6,4,-1]
[3,1,2,6,-5,4]=>[3,4,2,-1,-6,5]
[1,-3,2,6,-5,4]=>[2,4,-3,-1,-6,5]
[1,6,-3,2,-5,4]=>[2,5,-4,-1,-6,3]
[1,-3,5,6,2,4]=>[2,6,-3,-1,4,5]
[1,6,-3,2,4,5]=>[2,5,-4,6,-1,3]
[1,-3,-6,2,4,5]=>[2,5,-3,6,-1,-4]
[1,-3,2,6,4,5]=>[2,4,-3,6,-1,5]
[3,1,2,4,-6,5]=>[3,4,2,5,-1,-6]
[1,-3,2,4,-6,5]=>[2,4,-3,5,-1,-6]
[1,4,-3,2,-6,5]=>[2,5,-4,3,-1,-6]
[1,4,-3,6,2,5]=>[2,6,-4,3,-1,5]
[1,-3,2,4,5,6]=>[2,4,-3,5,6,-1]
[1,4,-3,2,5,6]=>[2,5,-4,3,6,-1]
[1,4,5,-3,2,6]=>[2,6,-5,3,4,-1]
[1,4,5,6,-3,2]=>[2,-1,-6,3,4,5]
[-6,1,-5,2,-4,3]=>[3,5,-1,-6,-4,-2]
[5,6,1,2,-4,3]=>[4,5,-1,-6,2,3]
[5,-4,1,6,2,3]=>[4,6,-1,-3,2,5]
[5,1,2,-4,3,6]=>[3,4,6,-5,2,-1]
[1,-5,2,-4,3,6]=>[2,4,6,-5,-3,-1]
[-4,1,5,2,3,6]=>[3,5,6,-2,4,-1]
[5,1,2,6,-4,3]=>[3,4,-1,-6,2,5]
[1,-5,2,6,-4,3]=>[2,4,-1,-6,-3,5]
[1,6,-5,2,-4,3]=>[2,5,-1,-6,-4,3]
[-4,1,5,6,2,3]=>[3,6,-1,-2,4,5]
[1,6,2,-4,3,5]=>[2,4,6,-5,-1,3]
[-6,1,2,-4,3,5]=>[3,4,6,-5,-1,-2]
[-4,1,2,6,3,5]=>[3,4,6,-2,-1,5]
[1,4,2,3,-6,5]=>[2,4,5,3,-1,-6]
[-4,1,2,3,-6,5]=>[3,4,5,-2,-1,-6]
[1,2,-4,3,-6,5]=>[2,3,5,-4,-1,-6]
[1,2,-4,6,3,5]=>[2,3,6,-4,-1,5]
[1,2,-4,3,5,6]=>[2,3,5,-4,6,-1]
[1,2,5,-4,3,6]=>[2,3,6,-5,4,-1]
[1,2,5,6,-4,3]=>[2,3,-1,-6,4,5]
[1,6,2,3,-5,4]=>[2,4,5,-1,-6,3]
[-6,1,2,3,-5,4]=>[3,4,5,-1,-6,-2]
[1,2,-6,3,-5,4]=>[2,3,5,-1,-6,-4]
[1,-5,2,6,3,4]=>[2,4,6,-1,-3,5]
[1,2,3,-5,4,6]=>[2,3,4,6,-5,-1]
[1,2,3,6,-5,4]=>[2,3,4,-1,-6,5]
[1,2,3,4,-6,5]=>[2,3,4,5,-1,-6]
[4,5,2,3,-1,6]=>[-6,4,5,2,3,-1]
[6,4,2,-1,3,5]=>[-5,4,6,3,-1,2]
[-1,4,2,6,3,5]=>[-2,4,6,3,-1,5]
[-1,5,6,2,3,4]=>[-2,5,6,-1,3,4]
[6,5,-1,2,3,4]=>[-4,5,6,-1,3,2]
[4,6,2,-1,3,5]=>[-5,4,6,2,-1,3]
[3,2,6,-1,4,5]=>[-5,3,2,6,-1,4]
[4,-1,2,6,3,5]=>[-3,4,6,2,-1,5]
[5,-1,6,2,3,4]=>[-3,5,6,-1,2,4]
[6,-1,5,2,3,4]=>[-3,5,6,-1,4,2]
[1,2,3,-5,-6,4]=>[2,3,4,-1,-5,-6]
[1,2,5,-4,-6,3]=>[2,3,-1,-5,4,-6]
[1,2,-4,-5,3,6]=>[2,3,6,-4,-5,-1]
[1,2,-4,6,-5,3]=>[2,3,-1,-4,-6,5]
[1,-4,2,5,-6,3]=>[2,4,-1,-3,5,-6]
[1,2,-4,-5,-6,3]=>[2,3,-1,-4,-5,-6]
[1,-3,2,-5,-6,4]=>[2,4,-3,-1,-5,-6]
[1,4,5,-3,-6,2]=>[2,-1,-5,3,4,-6]
[1,4,-3,-5,2,6]=>[2,6,-4,3,-5,-1]
[1,4,-3,6,-5,2]=>[2,-1,-4,3,-6,5]
[1,-3,4,5,-6,2]=>[2,-1,-3,4,5,-6]
[1,4,-3,-5,-6,2]=>[2,-1,-4,3,-5,-6]
[1,-3,-4,2,5,6]=>[2,5,-3,-4,6,-1]
[1,-3,-4,2,-6,5]=>[2,5,-3,-4,-1,-6]
[1,-3,5,-4,2,6]=>[2,6,-3,-5,4,-1]
[1,-3,5,6,-4,2]=>[2,-1,-3,-6,4,5]
[1,-3,5,-4,-6,2]=>[2,-1,-3,-5,4,-6]
[-3,1,4,-5,2,6]=>[3,6,-2,4,-5,-1]
[-3,1,4,6,-5,2]=>[3,-1,-2,4,-6,5]
[3,1,4,5,-6,2]=>[3,-1,2,4,5,-6]
[-3,1,4,-5,-6,2]=>[3,-1,-2,4,-5,-6]
[1,-3,-4,-5,2,6]=>[2,6,-3,-4,-5,-1]
[1,-3,-4,6,-5,2]=>[2,-1,-3,-4,-6,5]
[1,-3,-6,5,-4,2]=>[2,-1,-3,-6,5,-4]
[-5,1,3,-4,-6,2]=>[3,-1,4,-5,-2,-6]
[1,-3,-4,-5,-6,2]=>[2,-1,-3,-4,-5,-6]
[-2,1,3,-5,-6,4]=>[3,-2,4,-1,-5,-6]
[-2,1,5,-4,-6,3]=>[3,-2,-1,-5,4,-6]
[-2,1,-4,-5,3,6]=>[3,-2,6,-4,-5,-1]
[-2,1,-4,6,-5,3]=>[3,-2,-1,-4,-6,5]
[-2,-4,1,5,-6,3]=>[4,-2,-1,-3,5,-6]
[-2,1,-4,-5,-6,3]=>[3,-2,-1,-4,-5,-6]
[3,-2,1,-5,-6,4]=>[4,-3,2,-1,-5,-6]
[3,4,5,-2,-6,1]=>[-1,-5,2,3,4,-6]
[3,4,-2,-5,1,6]=>[6,-4,2,3,-5,-1]
[3,4,-2,6,-5,1]=>[-1,-4,2,3,-6,5]
[3,-2,4,5,-6,1]=>[-1,-3,2,4,5,-6]
[3,4,-2,-5,-6,1]=>[-1,-4,2,3,-5,-6]
[3,-2,-4,1,5,6]=>[5,-3,2,-4,6,-1]
[3,-2,-4,1,-6,5]=>[5,-3,2,-4,-1,-6]
[3,-2,5,-4,1,6]=>[6,-3,2,-5,4,-1]
[3,-2,5,6,-4,1]=>[-1,-3,2,-6,4,5]
[3,-2,5,-4,-6,1]=>[-1,-3,2,-5,4,-6]
[-2,3,4,-5,1,6]=>[6,-2,3,4,-5,-1]
[-2,3,4,6,-5,1]=>[-1,-2,3,4,-6,5]
[2,3,4,5,-6,1]=>[-1,2,3,4,5,-6]
[-2,3,4,-5,-6,1]=>[-1,-2,3,4,-5,-6]
[3,-2,-4,-5,1,6]=>[6,-3,2,-4,-5,-1]
[3,-2,-4,6,-5,1]=>[-1,-3,2,-4,-6,5]
[3,-2,-6,5,-4,1]=>[-1,-3,2,-6,5,-4]
[-2,5,3,-4,-6,1]=>[-1,-2,4,-5,3,-6]
[3,-2,-4,-5,-6,1]=>[-1,-3,2,-4,-5,-6]
[-2,-3,1,4,-6,5]=>[4,-2,-3,5,-1,-6]
[-2,-3,1,-5,4,6]=>[4,-2,-3,6,-5,-1]
[-2,-3,1,6,-5,4]=>[4,-2,-3,-1,-6,5]
[-2,-3,1,-5,-6,4]=>[4,-2,-3,-1,-5,-6]
[-2,4,-3,1,-6,5]=>[5,-2,-4,3,-1,-6]
[-2,4,5,-3,-6,1]=>[-1,-2,-5,3,4,-6]
[-2,4,-3,-5,1,6]=>[6,-2,-4,3,-5,-1]
[-2,4,-3,6,-5,1]=>[-1,-2,-4,3,-6,5]
[-2,-3,4,5,-6,1]=>[-1,-2,-3,4,5,-6]
[-2,4,-3,-5,-6,1]=>[-1,-2,-4,3,-5,-6]
[2,3,-4,1,-6,5]=>[5,2,3,-4,-1,-6]
[2,3,5,-4,-6,1]=>[-1,2,3,-5,4,-6]
[5,3,4,-2,-6,1]=>[-1,-5,3,4,2,-6]
[2,3,-4,-5,1,6]=>[6,2,3,-4,-5,-1]
[2,3,-4,6,-5,1]=>[-1,2,3,-4,-6,5]
[2,-4,3,5,-6,1]=>[-1,2,4,-3,5,-6]
[4,5,3,-2,-6,1]=>[-1,-5,4,2,3,-6]
[2,3,-4,-5,-6,1]=>[-1,2,3,-4,-5,-6]
[-2,-3,-4,1,-6,5]=>[5,-2,-3,-4,-1,-6]
[-2,-3,5,-4,-6,1]=>[-1,-2,-3,-5,4,-6]
[-2,-5,4,-3,-6,1]=>[-1,-2,-5,4,-3,-6]
[4,2,-3,-5,-6,1]=>[-1,3,-4,2,-5,-6]
[-3,2,6,-5,1,4]=>[6,3,-2,-1,-5,4]
[-6,2,4,-5,-3,1]=>[-1,3,-6,4,-5,-2]
[-6,-5,2,3,-4,1]=>[-1,4,5,-6,-3,-2]
[2,-5,6,-4,1,3]=>[6,2,-1,-5,-3,4]
[6,4,-5,-3,1,2]=>[6,-1,-5,3,-4,2]
[3,-5,6,-4,1,2]=>[6,-1,2,-5,-3,4]
[-6,-5,-4,3,1,2]=>[6,-1,5,-4,-3,-2]
[-1,6,5,3,4,2]=>[-2,-1,5,6,4,3]
[-1,6,4,5,3,2]=>[-2,-1,6,4,5,3]
[-1,6,4,5,2,3]=>[-2,6,-1,4,5,3]
[-1,6,4,3,5,2]=>[-2,-1,5,4,6,3]
[-1,6,3,4,5,2]=>[-2,-1,4,5,6,3]
[-1,6,3,4,2,5]=>[-2,6,4,5,-1,3]
[-1,5,6,4,3,2]=>[-2,-1,6,5,3,4]
[-1,5,6,4,2,3]=>[-2,6,-1,5,3,4]
[-1,5,6,3,4,2]=>[-2,-1,5,6,3,4]
[-1,5,6,3,2,4]=>[-2,6,5,-1,3,4]
[-1,5,4,6,3,2]=>[-2,-1,6,4,3,5]
[-1,5,4,6,2,3]=>[-2,6,-1,4,3,5]
[-1,5,4,3,6,2]=>[-2,-1,5,4,3,6]
[-1,5,3,4,6,2]=>[-2,-1,4,5,3,6]
[-1,5,3,4,2,6]=>[-2,6,4,5,3,-1]
[-1,4,5,6,3,2]=>[-2,-1,6,3,4,5]
[-1,4,5,6,2,3]=>[-2,6,-1,3,4,5]
[-1,4,5,3,6,2]=>[-2,-1,5,3,4,6]
[-1,4,5,3,2,6]=>[-2,6,5,3,4,-1]
[-1,4,5,2,3,6]=>[-2,5,6,3,4,-1]
[-1,4,3,5,6,2]=>[-2,-1,4,3,5,6]
[-1,4,3,5,2,6]=>[-2,6,4,3,5,-1]
[-1,3,4,5,6,2]=>[-2,-1,3,4,5,6]
[-1,3,4,5,2,6]=>[-2,6,3,4,5,-1]
[-1,3,4,2,5,6]=>[-2,5,3,4,6,-1]
[6,-1,5,4,3,2]=>[-3,-1,6,5,4,2]
[6,-1,5,4,2,3]=>[-3,6,-1,5,4,2]
[6,-1,5,3,4,2]=>[-3,-1,5,6,4,2]
[6,-1,5,3,2,4]=>[-3,6,5,-1,4,2]
[6,-1,4,5,3,2]=>[-3,-1,6,4,5,2]
[6,-1,4,5,2,3]=>[-3,6,-1,4,5,2]
[6,-1,4,3,5,2]=>[-3,-1,5,4,6,2]
[6,-1,4,3,2,5]=>[-3,6,5,4,-1,2]
[6,-1,4,2,3,5]=>[-3,5,6,4,-1,2]
[6,-1,3,4,2,5]=>[-3,6,4,5,-1,2]
[6,-1,3,2,4,5]=>[-3,5,4,6,-1,2]
[6,-1,2,3,4,5]=>[-3,4,5,6,-1,2]
[6,5,-1,4,3,2]=>[-4,-1,6,5,3,2]
[6,5,-1,4,2,3]=>[-4,6,-1,5,3,2]
[6,5,-1,3,4,2]=>[-4,-1,5,6,3,2]
[6,5,-1,3,2,4]=>[-4,6,5,-1,3,2]
[6,5,4,-1,3,2]=>[-5,-1,6,4,3,2]
[6,5,4,-1,2,3]=>[-5,6,-1,4,3,2]
[6,5,4,3,-1,2]=>[-6,-1,5,4,3,2]
[6,5,3,4,-1,2]=>[-6,-1,4,5,3,2]
[6,5,3,4,2,-1]=>[1,6,4,5,3,2]
[6,4,5,-1,3,2]=>[-5,-1,6,3,4,2]
[6,4,5,-1,2,3]=>[-5,6,-1,3,4,2]
[6,4,5,3,-1,2]=>[-6,-1,5,3,4,2]
[6,4,5,3,2,-1]=>[1,6,5,3,4,2]
[6,4,5,2,3,-1]=>[1,5,6,3,4,2]
[6,4,3,5,-1,2]=>[-6,-1,4,3,5,2]
[6,4,3,5,2,-1]=>[1,6,4,3,5,2]
[6,3,4,5,-1,2]=>[-6,-1,3,4,5,2]
[6,3,4,5,2,-1]=>[1,6,3,4,5,2]
[6,3,4,2,5,-1]=>[1,5,3,4,6,2]
[5,6,-1,4,2,3]=>[-4,6,-1,5,2,3]
[5,6,-1,3,4,2]=>[-4,-1,5,6,2,3]
[5,6,-1,3,2,4]=>[-4,6,5,-1,2,3]
[5,6,4,-1,3,2]=>[-5,-1,6,4,2,3]
[5,6,4,-1,2,3]=>[-5,6,-1,4,2,3]
[5,6,4,3,-1,2]=>[-6,-1,5,4,2,3]
[5,6,4,3,2,-1]=>[1,6,5,4,2,3]
[5,6,4,2,3,-1]=>[1,5,6,4,2,3]
[5,6,3,4,2,-1]=>[1,6,4,5,2,3]
[5,6,3,2,4,-1]=>[1,5,4,6,2,3]
[5,4,6,-1,3,2]=>[-5,-1,6,3,2,4]
[5,4,6,-1,2,3]=>[-5,6,-1,3,2,4]
[5,4,6,3,-1,2]=>[-6,-1,5,3,2,4]
[5,4,6,3,2,-1]=>[1,6,5,3,2,4]
[5,4,6,2,3,-1]=>[1,5,6,3,2,4]
[5,4,3,6,-1,2]=>[-6,-1,4,3,2,5]
[5,4,3,6,2,-1]=>[1,6,4,3,2,5]
[5,3,4,6,-1,2]=>[-6,-1,3,4,2,5]
[5,3,4,6,2,-1]=>[1,6,3,4,2,5]
[5,3,4,2,6,-1]=>[1,5,3,4,2,6]
[4,5,6,-1,3,2]=>[-5,-1,6,2,3,4]
[4,5,6,3,2,-1]=>[1,6,5,2,3,4]
[4,5,3,6,2,-1]=>[1,6,4,2,3,5]
[4,5,3,2,6,-1]=>[1,5,4,2,3,6]
[4,3,5,6,-1,2]=>[-6,-1,3,2,4,5]
[4,3,5,6,2,-1]=>[1,6,3,2,4,5]
[4,3,5,2,6,-1]=>[1,5,3,2,4,6]
[4,2,5,3,-1,6]=>[-6,3,5,2,4,-1]
[3,2,6,4,-1,5]=>[-6,3,2,5,-1,4]
[5,2,6,3,-1,4]=>[-6,3,5,-1,2,4]
[5,2,-1,3,4,6]=>[-4,3,5,6,2,-1]
[6,2,-1,3,4,5]=>[-4,3,5,6,-1,2]
[3,2,5,-1,4,6]=>[-5,3,2,6,4,-1]
[4,2,6,-1,3,5]=>[-5,3,6,2,-1,4]
[5,2,6,-1,3,4]=>[-5,3,6,-1,2,4]
[6,2,3,-1,4,5]=>[-5,3,4,6,-1,2]
[3,2,5,6,-1,4]=>[-6,3,2,-1,4,5]
[3,2,4,6,-1,5]=>[-6,3,2,4,-1,5]
[4,2,3,6,-1,5]=>[-6,3,4,2,-1,5]
[3,5,2,4,-1,6]=>[-6,4,2,5,3,-1]
[4,6,2,3,-1,5]=>[-6,4,5,2,-1,3]
[5,6,2,3,-1,4]=>[-6,4,5,-1,2,3]
[4,-1,2,3,5,6]=>[-3,4,5,2,6,-1]
[5,-1,2,3,4,6]=>[-3,4,5,6,2,-1]
[4,5,2,-1,3,6]=>[-5,4,6,2,3,-1]
[3,6,2,-1,4,5]=>[-5,4,2,6,-1,3]
[5,6,2,-1,3,4]=>[-5,4,6,-1,2,3]
[3,4,2,-1,5,6]=>[-5,4,2,3,6,-1]
[2,5,3,-1,4,6]=>[-5,2,4,6,3,-1]
[2,6,3,-1,4,5]=>[-5,2,4,6,-1,3]
[4,5,2,6,-1,3]=>[-6,4,-1,2,3,5]
[3,4,2,6,-1,5]=>[-6,4,2,3,-1,5]
[2,4,3,6,-1,5]=>[-6,2,4,3,-1,5]
[2,5,3,6,-1,4]=>[-6,2,4,-1,3,5]
[3,4,2,5,-1,6]=>[-6,4,2,3,5,-1]
[2,6,3,4,-1,5]=>[-6,2,4,5,-1,3]
[3,5,-1,2,4,6]=>[-4,5,2,6,3,-1]
[4,5,-1,2,3,6]=>[-4,5,6,2,3,-1]
[3,6,-1,2,4,5]=>[-4,5,2,6,-1,3]
[4,6,-1,2,3,5]=>[-4,5,6,2,-1,3]
[2,4,-1,3,5,6]=>[-4,2,5,3,6,-1]
[2,5,-1,3,4,6]=>[-4,2,5,6,3,-1]
[2,6,-1,3,4,5]=>[-4,2,5,6,-1,3]
[3,5,6,2,-1,4]=>[-6,5,2,-1,3,4]
[4,5,6,2,-1,3]=>[-6,5,-1,2,3,4]
[2,4,6,3,-1,5]=>[-6,2,5,3,-1,4]
[2,5,6,3,-1,4]=>[-6,2,5,-1,3,4]
[3,4,5,2,-1,6]=>[-6,5,2,3,4,-1]
[2,4,5,3,-1,6]=>[-6,2,5,3,4,-1]
[2,3,6,4,-1,5]=>[-6,2,3,5,-1,4]
[3,5,6,-1,2,4]=>[-5,6,2,-1,3,4]
[3,4,6,-1,2,5]=>[-5,6,2,3,-1,4]
[2,4,6,-1,3,5]=>[-5,2,6,3,-1,4]
[2,5,6,-1,3,4]=>[-5,2,6,-1,3,4]
[2,4,5,-1,3,6]=>[-5,2,6,3,4,-1]
[2,3,5,-1,4,6]=>[-5,2,3,6,4,-1]
[2,3,6,-1,4,5]=>[-5,2,3,6,-1,4]
[2,4,5,6,-1,3]=>[-6,2,-1,3,4,5]
[2,3,5,6,-1,4]=>[-6,2,3,-1,4,5]
[2,3,4,6,-1,5]=>[-6,2,3,4,-1,5]
[2,3,-1,5,6,4]=>[-4,2,3,-1,5,6]
[2,-1,3,5,6,4]=>[-3,2,4,-1,5,6]
[2,6,4,5,3,-1]=>[1,2,6,4,5,3]
[2,-1,4,5,3,6]=>[-3,2,6,4,5,-1]
[2,-1,4,5,6,3]=>[-3,2,-1,4,5,6]
[2,-1,4,6,5,3]=>[-3,2,-1,4,6,5]
[2,-1,5,4,6,3]=>[-3,2,-1,5,4,6]
[2,-1,6,4,5,3]=>[-3,2,-1,5,6,4]
[3,2,-1,5,6,4]=>[-4,3,2,-1,5,6]
[-1,2,3,5,6,4]=>[-2,3,4,-1,5,6]
[6,2,4,5,3,-1]=>[1,3,6,4,5,2]
[-1,2,4,5,3,6]=>[-2,3,6,4,5,-1]
[-1,2,4,5,6,3]=>[-2,3,-1,4,5,6]
[-1,2,4,6,5,3]=>[-2,3,-1,4,6,5]
[-1,2,5,4,6,3]=>[-2,3,-1,5,4,6]
[-1,2,6,4,5,3]=>[-2,3,-1,5,6,4]
[-1,3,2,5,6,4]=>[-2,4,3,-1,5,6]
[5,3,4,2,-1,6]=>[-6,5,3,4,2,-1]
[-1,3,4,2,6,5]=>[-2,5,3,4,-1,6]
[-1,3,4,6,5,2]=>[-2,-1,3,4,6,5]
[6,3,5,4,2,-1]=>[1,6,3,5,4,2]
[-1,3,5,4,2,6]=>[-2,6,3,5,4,-1]
[-1,3,5,4,6,2]=>[-2,-1,3,5,4,6]
[-1,3,6,4,5,2]=>[-2,-1,3,5,6,4]
[-1,3,6,5,4,2]=>[-2,-1,3,6,5,4]
[-1,4,3,6,5,2]=>[-2,-1,4,3,6,5]
[-1,6,3,5,4,2]=>[-2,-1,4,6,5,3]
[1,2,-6,5,3,4]=>[2,3,6,-1,5,-4]
[-6,1,2,5,3,4]=>[3,4,6,-1,5,-2]
[6,1,-4,2,-5,3]=>[3,5,-1,-4,-6,2]
[5,1,-6,-3,2,4]=>[3,6,-5,-1,2,-4]
[-6,1,4,5,2,3]=>[3,6,-1,4,5,-2]
[-2,1,-6,5,3,4]=>[3,-2,6,-1,5,-4]
[-6,3,1,2,-5,4]=>[4,5,3,-1,-6,-2]
[-4,6,1,2,-5,3]=>[4,5,-1,-2,-6,3]
[6,-3,1,-4,2,5]=>[4,6,-3,-5,-1,2]
[-6,5,1,-3,2,4]=>[4,6,-5,-1,3,-2]
[-6,5,-4,1,2,3]=>[5,6,-1,-4,3,-2]
[-5,-3,1,6,-4,2]=>[4,-1,-3,-6,-2,5]
[-6,-2,4,1,3,5]=>[5,-3,6,4,-1,-2]
[-6,-2,1,5,3,4]=>[4,-3,6,-1,5,-2]
[6,-2,-4,1,-5,3]=>[5,-3,-1,-4,-6,2]
[4,6,-3,1,-5,2]=>[5,-1,-4,2,-6,3]
[3,-2,-6,5,1,4]=>[6,-3,2,-1,5,-4]
[-6,-2,4,5,1,3]=>[6,-3,-1,4,5,-2]
[3,5,-4,2,-6,1]=>[-1,5,2,-4,3,-6]
[3,4,-5,2,-6,1]=>[-1,5,2,3,-4,-6]
[4,-6,-3,2,-5,1]=>[-1,5,-4,2,-6,-3]
[3,-5,-4,2,-6,1]=>[-1,5,2,-4,-3,-6]
[-5,-4,-3,2,-6,1]=>[-1,5,-4,-3,-2,-6]
[-4,-3,2,6,-5,1]=>[-1,4,-3,-2,-6,5]
[-5,4,2,3,-6,1]=>[-1,4,5,3,-2,-6]
[4,6,2,3,-5,1]=>[-1,4,5,2,-6,3]
[6,-4,2,3,-5,1]=>[-1,4,5,-3,-6,2]
[-3,-5,2,4,-6,1]=>[-1,4,-2,5,-3,-6]
[3,-6,2,4,-5,1]=>[-1,4,2,5,-6,-3]
[3,-4,2,5,-6,1]=>[-1,4,2,-3,5,-6]
[-4,-3,2,5,-6,1]=>[-1,4,-3,-2,5,-6]
[-4,-3,2,-6,-5,1]=>[-1,4,-3,-2,-6,-5]
[2,-5,3,4,-6,1]=>[-1,2,4,5,-3,-6]
[6,2,3,4,-5,1]=>[-1,3,4,5,-6,2]
[4,2,3,-6,-5,1]=>[-1,3,4,2,-6,-5]
[-6,2,3,-5,-4,1]=>[-1,3,4,-6,-5,-2]
[-3,2,4,5,-6,1]=>[-1,3,-2,4,5,-6]
[-3,2,4,-6,-5,1]=>[-1,3,-2,4,-6,-5]
[2,3,4,-6,-5,1]=>[-1,2,3,4,-6,-5]
[2,3,-6,-5,-4,1]=>[-1,2,3,-6,-5,-4]
[-5,-4,3,6,1,2]=>[6,-1,4,-3,-2,5]
[-6,4,2,-5,1,3]=>[6,4,-1,3,-5,-2]
[2,5,-4,-6,1,3]=>[6,2,-1,-4,3,-5]
[-3,-6,2,-5,1,4]=>[6,4,-2,-1,-5,-3]
[4,-3,2,-6,1,5]=>[6,4,-3,2,-1,-5]
[-4,-3,2,-5,1,6]=>[6,4,-3,-2,-5,-1]
[2,5,3,-6,1,4]=>[6,2,4,-1,3,-5]
[2,-6,3,-5,1,4]=>[6,2,4,-1,-5,-3]
[2,-4,3,-6,1,5]=>[6,2,4,-3,-1,-5]
[4,2,3,-5,1,6]=>[6,3,4,2,-5,-1]
[-5,2,3,-4,1,6]=>[6,3,4,-5,-2,-1]
[3,2,4,-6,1,5]=>[6,3,2,4,-1,-5]
[-3,2,4,-5,1,6]=>[6,3,-2,4,-5,-1]
[-2,3,4,-6,1,5]=>[6,-2,3,4,-1,-5]
[2,3,4,-5,1,6]=>[6,2,3,4,-5,-1]
[2,3,-5,-4,1,6]=>[6,2,3,-5,-4,-1]
[-4,-6,1,-5,2,3]=>[4,6,-1,-2,-5,-3]
[-5,-4,3,1,2,6]=>[5,6,4,-3,-2,-1]
[6,-5,2,1,3,4]=>[5,4,6,-1,-3,2]
[5,2,-4,1,3,6]=>[5,3,6,-4,2,-1]
[-3,-2,-6,1,4,5]=>[5,-3,-2,6,-1,-4]
[-2,3,-5,1,4,6]=>[5,-2,3,6,-4,-1]
[4,5,-6,1,2,3]=>[5,6,-1,2,3,-4]
[4,5,-6,-3,1,2]=>[6,-1,-5,2,3,-4]
[3,4,-5,1,2,6]=>[5,6,2,3,-4,-1]
[3,4,-6,-5,1,2]=>[6,-1,2,3,-5,-4]
[3,4,5,-6,1,2]=>[6,-1,2,3,4,-5]
[-5,3,4,-6,1,2]=>[6,-1,3,4,-2,-5]
[-4,3,5,-6,1,2]=>[6,-1,3,-2,4,-5]
[-5,-4,3,-6,1,2]=>[6,-1,4,-3,-2,-5]
[4,5,-6,-2,1,3]=>[6,-5,-1,2,3,-4]
[4,5,-6,-3,-2,1]=>[-1,-6,-5,2,3,-4]
[3,4,-5,-2,1,6]=>[6,-5,2,3,-4,-1]
[3,4,-6,-5,-2,1]=>[-1,-6,2,3,-5,-4]
[3,4,5,-6,-2,1]=>[-1,-6,2,3,4,-5]
[-5,3,4,-6,-2,1]=>[-1,-6,3,4,-2,-5]
[-4,3,5,-6,-2,1]=>[-1,-6,3,-2,4,-5]
[-5,-4,3,-6,-2,1]=>[-1,-6,4,-3,-2,-5]
[2,4,5,-6,-3,1]=>[-1,2,-6,3,4,-5]
[2,3,-6,-4,1,5]=>[6,2,3,-5,-1,-4]
[2,3,5,-6,-4,1]=>[-1,2,3,-6,4,-5]
[-5,2,3,4,-6,1]=>[-1,3,4,5,-2,-6]
[-4,2,3,-6,-5,1]=>[-1,3,4,-2,-6,-5]
[-4,2,3,5,-6,1]=>[-1,3,4,-2,5,-6]
[-5,-4,2,3,-6,1]=>[-1,4,5,-3,-2,-6]
[4,-5,2,3,-6,1]=>[-1,4,5,2,-3,-6]
[4,-5,-3,2,-6,1]=>[-1,5,-4,2,-3,-6]
[2,-4,-3,1,-6,5]=>[5,2,-4,-3,-1,-6]
[-5,2,-3,6,1,4]=>[6,3,-4,-1,-2,5]
[2,-6,4,-3,-5,1]=>[-1,2,-5,4,-6,-3]
[-2,1,4,-6,-5,3]=>[3,-2,-1,4,-6,-5]
[4,-6,1,-3,-5,2]=>[4,-1,-5,2,-6,-3]
[5,6,3,1,-4,2]=>[5,-1,4,-6,2,3]
[2,-3,-5,-4,-6,1]=>[-1,2,-3,-5,-4,-6]
[2,-4,-3,-5,-6,1]=>[-1,2,-4,-3,-5,-6]
[4,2,-6,-3,-5,1]=>[-1,3,-5,2,-6,-4]
[-5,2,-3,-4,-6,1]=>[-1,3,-4,-5,-2,-6]
[5,2,-4,-3,-6,1]=>[-1,3,-5,-4,2,-6]
[6,-4,2,-3,-5,1]=>[-1,4,-5,-3,-6,2]
[4,3,-2,-6,-5,1]=>[-1,-4,3,2,-6,-5]
[5,3,-2,-4,-6,1]=>[-1,-4,3,-5,2,-6]
[6,-2,3,-4,-5,1]=>[-1,-3,4,-5,-6,2]
[5,6,3,-2,-4,1]=>[-1,-5,4,-6,2,3]
[-2,6,4,-3,-5,1]=>[-1,-2,-5,4,-6,3]
[3,6,4,-2,-5,1]=>[-1,-5,2,4,-6,3]
[2,-4,5,-3,-6,1]=>[-1,2,-5,-3,4,-6]
[2,-4,-3,6,-5,1]=>[-1,2,-4,-3,-6,5]
[5,3,-2,6,-4,1]=>[-1,-4,3,-6,2,5]
[1,3,-4,-6,-5,2]=>[2,-1,3,-4,-6,-5]
[1,3,-5,-4,-6,2]=>[2,-1,3,-5,-4,-6]
[1,-6,3,-4,-5,2]=>[2,-1,4,-5,-6,-3]
[1,6,3,-5,-4,2]=>[2,-1,4,-6,-5,3]
[1,6,4,-3,-5,2]=>[2,-1,-5,4,-6,3]
[1,3,-5,6,-4,2]=>[2,-1,3,-6,-4,5]
[1,2,4,-6,-5,3]=>[2,3,-1,4,-6,-5]
[2,-4,-3,-5,1,6]=>[6,2,-4,-3,-5,-1]
[5,3,-2,-4,1,6]=>[6,-4,3,-5,2,-1]
[1,3,-5,-4,2,6]=>[2,6,3,-5,-4,-1]
[-2,-5,-3,6,1,4]=>[6,-2,-4,-1,-3,5]
[-5,4,1,-3,-6,2]=>[4,-1,-5,3,-2,-6]
[5,-4,3,1,-6,2]=>[5,-1,4,-3,2,-6]
[-2,-3,5,1,4,6]=>[5,-2,-3,6,4,-1]
[-4,-2,5,1,3,6]=>[5,-3,6,-2,4,-1]
[-5,2,4,1,3,6]=>[5,3,6,4,-2,-1]
[-2,-3,1,6,4,5]=>[4,-2,-3,6,-1,5]
[-4,-2,1,6,3,5]=>[4,-3,6,-2,-1,5]
[-4,3,1,6,2,5]=>[4,6,3,-2,-1,5]
[5,-2,1,6,3,4]=>[4,-3,6,-1,2,5]
[6,2,-3,5,1,4]=>[6,3,-4,-1,5,2]
[6,-4,2,5,1,3]=>[6,4,-1,-3,5,2]
[-4,6,3,5,1,2]=>[6,-1,4,-2,5,3]
[2,-5,6,4,1,3]=>[6,2,-1,5,-3,4]
[-2,-3,-4,6,1,5]=>[6,-2,-3,-4,-1,5]
[-4,-5,-2,6,1,3]=>[6,-4,-1,-2,-3,5]
[-6,-2,-3,5,1,4]=>[6,-3,-4,-1,5,-2]
[-6,-4,-2,5,1,3]=>[6,-4,-1,-3,5,-2]
[5,-6,2,4,1,3]=>[6,4,-1,5,2,-3]
[6,4,3,-1,2,5]=>[-5,6,4,3,-1,2]
[4,-1,2,6,5,3]=>[-3,4,-1,2,6,5]
[5,-1,6,2,4,3]=>[-3,5,-1,6,2,4]
[5,3,2,6,4,-1]=>[1,4,3,6,2,5]
[5,3,6,2,4,-1]=>[1,5,3,6,2,4]
[5,3,6,4,2,-1]=>[1,6,3,5,2,4]
[5,3,2,6,-1,4]=>[-6,4,3,-1,2,5]
[5,3,6,2,-1,4]=>[-6,5,3,-1,2,4]
[5,6,3,2,-1,4]=>[-6,5,4,-1,2,3]
[5,3,6,-1,2,4]=>[-5,6,3,-1,2,4]
[5,6,3,-1,2,4]=>[-5,6,4,-1,2,3]
[5,3,6,4,-1,2]=>[-6,-1,3,5,2,4]
[5,3,6,-1,4,2]=>[-5,-1,3,6,2,4]
[6,4,2,-1,5,3]=>[-5,4,-1,3,6,2]
[6,4,-1,2,5,3]=>[-4,5,-1,3,6,2]
[6,-1,4,2,5,3]=>[-3,5,-1,4,6,2]
[6,4,-1,5,2,3]=>[-4,6,-1,3,5,2]
[6,4,3,2,-1,5]=>[-6,5,4,3,-1,2]
[6,4,-1,3,2,5]=>[-4,6,5,3,-1,2]
[6,4,3,-1,5,2]=>[-5,-1,4,3,6,2]
[6,4,-1,3,5,2]=>[-4,-1,5,3,6,2]
[6,4,-1,5,3,2]=>[-4,-1,6,3,5,2]
[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,-1]
[1,2,3,4,5,7,6]=>[2,3,4,5,6,-1,7]
[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,-1]
[1,2,3,4,6,7,5]=>[2,3,4,5,-1,6,7]
[1,2,3,4,7,5,6]=>[2,3,4,5,7,-1,6]
[1,2,3,4,7,6,5]=>[2,3,4,5,-1,7,6]
[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,-1]
[1,2,3,5,4,7,6]=>[2,3,4,6,5,-1,7]
[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,-1]
[1,2,3,5,6,7,4]=>[2,3,4,-1,5,6,7]
[1,2,3,5,7,4,6]=>[2,3,4,7,5,-1,6]
[1,2,3,5,7,6,4]=>[2,3,4,-1,5,7,6]
[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,-1]
[1,2,3,6,4,7,5]=>[2,3,4,6,-1,5,7]
[1,2,3,6,5,7,4]=>[2,3,4,-1,6,5,7]
[1,2,3,6,7,4,5]=>[2,3,4,7,-1,5,6]
[1,2,3,6,7,5,4]=>[2,3,4,-1,7,5,6]
[1,2,3,7,4,5,6]=>[2,3,4,6,7,-1,5]
[1,2,3,7,4,6,5]=>[2,3,4,6,-1,7,5]
[1,2,3,7,5,4,6]=>[2,3,4,7,6,-1,5]
[1,2,3,7,5,6,4]=>[2,3,4,-1,6,7,5]
[1,2,3,7,6,4,5]=>[2,3,4,7,-1,6,5]
[1,2,3,7,6,5,4]=>[2,3,4,-1,7,6,5]
[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,-1]
[1,2,4,3,5,7,6]=>[2,3,5,4,6,-1,7]
[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,-1]
[1,2,4,3,6,7,5]=>[2,3,5,4,-1,6,7]
[1,2,4,3,7,5,6]=>[2,3,5,4,7,-1,6]
[1,2,4,3,7,6,5]=>[2,3,5,4,-1,7,6]
[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,-1]
[1,2,4,5,3,7,6]=>[2,3,6,4,5,-1,7]
[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,-1]
[1,2,4,5,6,7,3]=>[2,3,-1,4,5,6,7]
[1,2,4,5,7,3,6]=>[2,3,7,4,5,-1,6]
[1,2,4,5,7,6,3]=>[2,3,-1,4,5,7,6]
[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,-1]
[1,2,4,6,3,7,5]=>[2,3,6,4,-1,5,7]
[1,2,4,6,7,3,5]=>[2,3,7,4,-1,5,6]
[1,2,4,6,7,5,3]=>[2,3,-1,4,7,5,6]
[1,2,4,7,3,5,6]=>[2,3,6,4,7,-1,5]
[1,2,4,7,5,6,3]=>[2,3,-1,4,6,7,5]
[1,2,4,7,6,5,3]=>[2,3,-1,4,7,6,5]
[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,-1]
[1,2,5,3,4,7,6]=>[2,3,5,6,4,-1,7]
[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,-1]
[1,2,5,3,6,7,4]=>[2,3,5,-1,4,6,7]
[1,2,5,3,7,4,6]=>[2,3,5,7,4,-1,6]
[1,2,5,4,3,7,6]=>[2,3,6,5,4,-1,7]
[1,2,5,4,6,7,3]=>[2,3,-1,5,4,6,7]
[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,-1]
[1,2,5,6,3,7,4]=>[2,3,6,-1,4,5,7]
[1,2,5,6,4,7,3]=>[2,3,-1,6,4,5,7]
[1,2,5,6,7,3,4]=>[2,3,7,-1,4,5,6]
[1,2,5,6,7,4,3]=>[2,3,-1,7,4,5,6]
[1,2,5,7,3,4,6]=>[2,3,6,7,4,-1,5]
[1,2,5,7,3,6,4]=>[2,3,6,-1,4,7,5]
[1,2,5,7,4,3,6]=>[2,3,7,6,4,-1,5]
[1,2,5,7,6,3,4]=>[2,3,7,-1,4,6,5]
[1,2,5,7,6,4,3]=>[2,3,-1,7,4,6,5]
[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,-1]
[1,2,6,3,4,7,5]=>[2,3,5,6,-1,4,7]
[1,2,6,3,5,7,4]=>[2,3,5,-1,6,4,7]
[1,2,6,3,7,4,5]=>[2,3,5,7,-1,4,6]
[1,2,6,3,7,5,4]=>[2,3,5,-1,7,4,6]
[1,2,6,4,3,7,5]=>[2,3,6,5,-1,4,7]
[1,2,6,4,5,7,3]=>[2,3,-1,5,6,4,7]
[1,2,6,4,7,3,5]=>[2,3,7,5,-1,4,6]
[1,2,6,5,3,7,4]=>[2,3,6,-1,5,4,7]
[1,2,6,5,4,7,3]=>[2,3,-1,6,5,4,7]
[1,2,6,5,7,3,4]=>[2,3,7,-1,5,4,6]
[1,2,6,7,3,4,5]=>[2,3,6,7,-1,4,5]
[1,2,6,7,4,3,5]=>[2,3,7,6,-1,4,5]
[1,2,6,7,4,5,3]=>[2,3,-1,6,7,4,5]
[1,2,6,7,5,3,4]=>[2,3,7,-1,6,4,5]
[1,2,6,7,5,4,3]=>[2,3,-1,7,6,4,5]
[1,2,7,3,4,5,6]=>[2,3,5,6,7,-1,4]
[1,2,7,3,4,6,5]=>[2,3,5,6,-1,7,4]
[1,2,7,3,5,4,6]=>[2,3,5,7,6,-1,4]
[1,2,7,3,5,6,4]=>[2,3,5,-1,6,7,4]
[1,2,7,3,6,4,5]=>[2,3,5,7,-1,6,4]
[1,2,7,3,6,5,4]=>[2,3,5,-1,7,6,4]
[1,2,7,4,3,5,6]=>[2,3,6,5,7,-1,4]
[1,2,7,4,3,6,5]=>[2,3,6,5,-1,7,4]
[1,2,7,4,5,3,6]=>[2,3,7,5,6,-1,4]
[1,2,7,4,5,6,3]=>[2,3,-1,5,6,7,4]
[1,2,7,4,6,5,3]=>[2,3,-1,5,7,6,4]
[1,2,7,5,3,4,6]=>[2,3,6,7,5,-1,4]
[1,2,7,5,6,3,4]=>[2,3,7,-1,5,6,4]
[1,2,7,5,6,4,3]=>[2,3,-1,7,5,6,4]
[1,2,7,6,3,4,5]=>[2,3,6,7,-1,5,4]
[1,2,7,6,3,5,4]=>[2,3,6,-1,7,5,4]
[1,2,7,6,4,3,5]=>[2,3,7,6,-1,5,4]
[1,2,7,6,4,5,3]=>[2,3,-1,6,7,5,4]
[1,2,7,6,5,3,4]=>[2,3,7,-1,6,5,4]
[1,2,7,6,5,4,3]=>[2,3,-1,7,6,5,4]
[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,-1]
[1,3,2,4,5,7,6]=>[2,4,3,5,6,-1,7]
[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,-1]
[1,3,2,4,6,7,5]=>[2,4,3,5,-1,6,7]
[1,3,2,4,7,5,6]=>[2,4,3,5,7,-1,6]
[1,3,2,4,7,6,5]=>[2,4,3,5,-1,7,6]
[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,-1]
[1,3,2,5,4,7,6]=>[2,4,3,6,5,-1,7]
[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,-1]
[1,3,2,5,6,7,4]=>[2,4,3,-1,5,6,7]
[1,3,2,5,7,4,6]=>[2,4,3,7,5,-1,6]
[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,-1]
[1,3,2,6,4,7,5]=>[2,4,3,6,-1,5,7]
[1,3,2,6,7,4,5]=>[2,4,3,7,-1,5,6]
[1,3,2,7,4,5,6]=>[2,4,3,6,7,-1,5]
[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,-1]
[1,3,4,2,5,7,6]=>[2,5,3,4,6,-1,7]
[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,-1]
[1,3,4,2,6,7,5]=>[2,5,3,4,-1,6,7]
[1,3,4,2,7,5,6]=>[2,5,3,4,7,-1,6]
[1,3,4,2,7,6,5]=>[2,5,3,4,-1,7,6]
[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,-1]
[1,3,4,5,2,7,6]=>[2,6,3,4,5,-1,7]
[1,3,4,5,6,2,7]=>[2,7,3,4,5,6,-1]
[1,3,4,5,6,7,2]=>[2,-1,3,4,5,6,7]
[1,3,4,5,7,2,6]=>[2,7,3,4,5,-1,6]
[1,3,4,5,7,6,2]=>[2,-1,3,4,5,7,6]
[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,-1]
[1,3,4,6,2,7,5]=>[2,6,3,4,-1,5,7]
[1,3,4,6,7,2,5]=>[2,7,3,4,-1,5,6]
[1,3,4,6,7,5,2]=>[2,-1,3,4,7,5,6]
[1,3,4,7,2,5,6]=>[2,6,3,4,7,-1,5]
[1,3,4,7,2,6,5]=>[2,6,3,4,-1,7,5]
[1,3,4,7,5,6,2]=>[2,-1,3,4,6,7,5]
[1,3,4,7,6,5,2]=>[2,-1,3,4,7,6,5]
[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,-1]
[1,3,5,2,4,7,6]=>[2,5,3,6,4,-1,7]
[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,-1]
[1,3,5,2,6,7,4]=>[2,5,3,-1,4,6,7]
[1,3,5,2,7,4,6]=>[2,5,3,7,4,-1,6]
[1,3,5,2,7,6,4]=>[2,5,3,-1,4,7,6]
[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,-1]
[1,3,5,6,2,7,4]=>[2,6,3,-1,4,5,7]
[1,3,5,6,7,2,4]=>[2,7,3,-1,4,5,6]
[1,3,5,6,7,4,2]=>[2,-1,3,7,4,5,6]
[1,3,5,7,2,4,6]=>[2,6,3,7,4,-1,5]
[1,3,5,7,2,6,4]=>[2,6,3,-1,4,7,5]
[1,3,5,7,6,4,2]=>[2,-1,3,7,4,6,5]
[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,-1]
[1,3,6,2,4,7,5]=>[2,5,3,6,-1,4,7]
[1,3,6,2,5,7,4]=>[2,5,3,-1,6,4,7]
[1,3,6,2,7,4,5]=>[2,5,3,7,-1,4,6]
[1,3,6,4,2,7,5]=>[2,6,3,5,-1,4,7]
[1,3,6,4,5,7,2]=>[2,-1,3,5,6,4,7]
[1,3,6,7,2,4,5]=>[2,6,3,7,-1,4,5]
[1,3,6,7,2,5,4]=>[2,6,3,-1,7,4,5]
[1,3,6,7,4,5,2]=>[2,-1,3,6,7,4,5]
[1,3,6,7,5,4,2]=>[2,-1,3,7,6,4,5]
[1,3,7,2,4,5,6]=>[2,5,3,6,7,-1,4]
[1,3,7,2,6,5,4]=>[2,5,3,-1,7,6,4]
[1,3,7,4,2,6,5]=>[2,6,3,5,-1,7,4]
[1,3,7,4,5,6,2]=>[2,-1,3,5,6,7,4]
[1,3,7,5,2,4,6]=>[2,6,3,7,5,-1,4]
[1,3,7,5,2,6,4]=>[2,6,3,-1,5,7,4]
[1,3,7,5,6,4,2]=>[2,-1,3,7,5,6,4]
[1,3,7,6,2,5,4]=>[2,6,3,-1,7,5,4]
[1,3,7,6,4,5,2]=>[2,-1,3,6,7,5,4]
[1,3,7,6,5,4,2]=>[2,-1,3,7,6,5,4]
[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,-1]
[1,4,2,3,5,7,6]=>[2,4,5,3,6,-1,7]
[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,-1]
[1,4,2,3,6,7,5]=>[2,4,5,3,-1,6,7]
[1,4,2,3,7,5,6]=>[2,4,5,3,7,-1,6]
[1,4,2,3,7,6,5]=>[2,4,5,3,-1,7,6]
[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,-1]
[1,4,2,5,3,7,6]=>[2,4,6,3,5,-1,7]
[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,-1]
[1,4,2,5,6,7,3]=>[2,4,-1,3,5,6,7]
[1,4,2,5,7,3,6]=>[2,4,7,3,5,-1,6]
[1,4,2,5,7,6,3]=>[2,4,-1,3,5,7,6]
[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,-1]
[1,4,2,6,3,7,5]=>[2,4,6,3,-1,5,7]
[1,4,2,6,7,3,5]=>[2,4,7,3,-1,5,6]
[1,4,2,7,3,5,6]=>[2,4,6,3,7,-1,5]
[1,4,2,7,3,6,5]=>[2,4,6,3,-1,7,5]
[1,4,2,7,6,3,5]=>[2,4,7,3,-1,6,5]
[1,4,2,7,6,5,3]=>[2,4,-1,3,7,6,5]
[1,4,3,2,7,6,5]=>[2,5,4,3,-1,7,6]
[1,4,3,5,6,7,2]=>[2,-1,4,3,5,6,7]
[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,-1]
[1,4,5,2,3,7,6]=>[2,5,6,3,4,-1,7]
[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,-1]
[1,4,5,2,6,7,3]=>[2,5,-1,3,4,6,7]
[1,4,5,2,7,3,6]=>[2,5,7,3,4,-1,6]
[1,4,5,2,7,6,3]=>[2,5,-1,3,4,7,6]
[1,4,5,3,6,7,2]=>[2,-1,5,3,4,6,7]
[1,4,5,3,7,6,2]=>[2,-1,5,3,4,7,6]
[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,-1]
[1,4,5,6,2,7,3]=>[2,6,-1,3,4,5,7]
[1,4,5,6,3,7,2]=>[2,-1,6,3,4,5,7]
[1,4,5,6,7,2,3]=>[2,7,-1,3,4,5,6]
[1,4,5,6,7,3,2]=>[2,-1,7,3,4,5,6]
[1,4,5,7,2,3,6]=>[2,6,7,3,4,-1,5]
[1,4,5,7,2,6,3]=>[2,6,-1,3,4,7,5]
[1,4,5,7,6,2,3]=>[2,7,-1,3,4,6,5]
[1,4,5,7,6,3,2]=>[2,-1,7,3,4,6,5]
[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,-1]
[1,4,6,2,3,7,5]=>[2,5,6,3,-1,4,7]
[1,4,6,2,7,3,5]=>[2,5,7,3,-1,4,6]
[1,4,6,2,7,5,3]=>[2,5,-1,3,7,4,6]
[1,4,6,5,3,7,2]=>[2,-1,6,3,5,4,7]
[1,4,6,7,2,3,5]=>[2,6,7,3,-1,4,5]
[1,4,6,7,5,2,3]=>[2,7,-1,3,6,4,5]
[1,4,6,7,5,3,2]=>[2,-1,7,3,6,4,5]
[1,4,7,2,3,5,6]=>[2,5,6,3,7,-1,4]
[1,4,7,2,3,6,5]=>[2,5,6,3,-1,7,4]
[1,4,7,2,5,6,3]=>[2,5,-1,3,6,7,4]
[1,4,7,2,6,5,3]=>[2,5,-1,3,7,6,4]
[1,4,7,3,2,6,5]=>[2,6,5,3,-1,7,4]
[1,4,7,3,5,2,6]=>[2,7,5,3,6,-1,4]
[1,4,7,3,6,5,2]=>[2,-1,5,3,7,6,4]
[1,4,7,5,6,2,3]=>[2,7,-1,3,5,6,4]
[1,4,7,5,6,3,2]=>[2,-1,7,3,5,6,4]
[1,4,7,6,2,5,3]=>[2,6,-1,3,7,5,4]
[1,4,7,6,5,2,3]=>[2,7,-1,3,6,5,4]
[1,4,7,6,5,3,2]=>[2,-1,7,3,6,5,4]
[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,-1]
[1,5,2,3,4,7,6]=>[2,4,5,6,3,-1,7]
[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,-1]
[1,5,2,3,6,7,4]=>[2,4,5,-1,3,6,7]
[1,5,2,3,7,4,6]=>[2,4,5,7,3,-1,6]
[1,5,2,3,7,6,4]=>[2,4,5,-1,3,7,6]
[1,5,2,4,6,7,3]=>[2,4,-1,5,3,6,7]
[1,5,2,4,7,6,3]=>[2,4,-1,5,3,7,6]
[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,-1]
[1,5,2,6,3,7,4]=>[2,4,6,-1,3,5,7]
[1,5,2,6,7,3,4]=>[2,4,7,-1,3,5,6]
[1,5,2,6,7,4,3]=>[2,4,-1,7,3,5,6]
[1,5,2,7,3,4,6]=>[2,4,6,7,3,-1,5]
[1,5,2,7,3,6,4]=>[2,4,6,-1,3,7,5]
[1,5,2,7,4,6,3]=>[2,4,-1,6,3,7,5]
[1,5,2,7,6,4,3]=>[2,4,-1,7,3,6,5]
[1,5,3,2,4,7,6]=>[2,5,4,6,3,-1,7]
[1,5,3,2,6,7,4]=>[2,5,4,-1,3,6,7]
[1,5,3,2,7,6,4]=>[2,5,4,-1,3,7,6]
[1,5,3,4,2,7,6]=>[2,6,4,5,3,-1,7]
[1,5,3,4,6,7,2]=>[2,-1,4,5,3,6,7]
[1,5,3,4,7,6,2]=>[2,-1,4,5,3,7,6]
[1,5,3,6,7,2,4]=>[2,7,4,-1,3,5,6]
[1,5,3,7,2,4,6]=>[2,6,4,7,3,-1,5]
[1,5,3,7,2,6,4]=>[2,6,4,-1,3,7,5]
[1,5,3,7,4,6,2]=>[2,-1,4,6,3,7,5]
[1,5,3,7,6,4,2]=>[2,-1,4,7,3,6,5]
[1,5,4,2,7,6,3]=>[2,5,-1,4,3,7,6]
[1,5,4,3,2,7,6]=>[2,6,5,4,3,-1,7]
[1,5,4,3,6,7,2]=>[2,-1,5,4,3,6,7]
[1,5,4,3,7,6,2]=>[2,-1,5,4,3,7,6]
[1,5,4,7,2,6,3]=>[2,6,-1,4,3,7,5]
[1,5,4,7,6,3,2]=>[2,-1,7,4,3,6,5]
[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,-1]
[1,5,6,2,3,7,4]=>[2,5,6,-1,3,4,7]
[1,5,6,2,4,7,3]=>[2,5,-1,6,3,4,7]
[1,5,6,2,7,3,4]=>[2,5,7,-1,3,4,6]
[1,5,6,3,2,7,4]=>[2,6,5,-1,3,4,7]
[1,5,6,3,4,7,2]=>[2,-1,5,6,3,4,7]
[1,5,6,3,7,2,4]=>[2,7,5,-1,3,4,6]
[1,5,6,4,3,7,2]=>[2,-1,6,5,3,4,7]
[1,5,6,4,7,2,3]=>[2,7,-1,5,3,4,6]
[1,5,6,4,7,3,2]=>[2,-1,7,5,3,4,6]
[1,5,6,7,2,3,4]=>[2,6,7,-1,3,4,5]
[1,5,6,7,2,4,3]=>[2,6,-1,7,3,4,5]
[1,5,6,7,3,2,4]=>[2,7,6,-1,3,4,5]
[1,5,6,7,3,4,2]=>[2,-1,6,7,3,4,5]
[1,5,6,7,4,2,3]=>[2,7,-1,6,3,4,5]
[1,5,6,7,4,3,2]=>[2,-1,7,6,3,4,5]
[1,5,7,2,3,4,6]=>[2,5,6,7,3,-1,4]
[1,5,7,2,6,4,3]=>[2,5,-1,7,3,6,4]
[1,5,7,3,2,6,4]=>[2,6,5,-1,3,7,4]
[1,5,7,3,4,6,2]=>[2,-1,5,6,3,7,4]
[1,5,7,3,6,4,2]=>[2,-1,5,7,3,6,4]
[1,5,7,4,2,6,3]=>[2,6,-1,5,3,7,4]
[1,5,7,4,6,2,3]=>[2,7,-1,5,3,6,4]
[1,5,7,6,2,3,4]=>[2,6,7,-1,3,5,4]
[1,5,7,6,2,4,3]=>[2,6,-1,7,3,5,4]
[1,5,7,6,3,2,4]=>[2,7,6,-1,3,5,4]
[1,5,7,6,3,4,2]=>[2,-1,6,7,3,5,4]
[1,5,7,6,4,2,3]=>[2,7,-1,6,3,5,4]
[1,5,7,6,4,3,2]=>[2,-1,7,6,3,5,4]
[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,-1]
[1,6,2,3,4,7,5]=>[2,4,5,6,-1,3,7]
[1,6,2,3,5,7,4]=>[2,4,5,-1,6,3,7]
[1,6,2,3,7,4,5]=>[2,4,5,7,-1,3,6]
[1,6,2,3,7,5,4]=>[2,4,5,-1,7,3,6]
[1,6,2,4,7,5,3]=>[2,4,-1,5,7,3,6]
[1,6,2,7,3,4,5]=>[2,4,6,7,-1,3,5]
[1,6,2,7,5,4,3]=>[2,4,-1,7,6,3,5]
[1,6,3,2,4,7,5]=>[2,5,4,6,-1,3,7]
[1,6,3,2,5,7,4]=>[2,5,4,-1,6,3,7]
[1,6,3,2,7,4,5]=>[2,5,4,7,-1,3,6]
[1,6,3,2,7,5,4]=>[2,5,4,-1,7,3,6]
[1,6,3,4,2,7,5]=>[2,6,4,5,-1,3,7]
[1,6,3,4,5,7,2]=>[2,-1,4,5,6,3,7]
[1,6,3,4,7,2,5]=>[2,7,4,5,-1,3,6]
[1,6,3,5,2,7,4]=>[2,6,4,-1,5,3,7]
[1,6,3,5,4,7,2]=>[2,-1,4,6,5,3,7]
[1,6,3,7,2,4,5]=>[2,6,4,7,-1,3,5]
[1,6,3,7,2,5,4]=>[2,6,4,-1,7,3,5]
[1,6,3,7,4,2,5]=>[2,7,4,6,-1,3,5]
[1,6,3,7,4,5,2]=>[2,-1,4,6,7,3,5]
[1,6,3,7,5,2,4]=>[2,7,4,-1,6,3,5]
[1,6,4,2,3,7,5]=>[2,5,6,4,-1,3,7]
[1,6,4,5,3,7,2]=>[2,-1,6,4,5,3,7]
[1,6,5,4,3,7,2]=>[2,-1,6,5,4,3,7]
[1,6,5,4,7,3,2]=>[2,-1,7,5,4,3,6]
[1,6,5,7,4,3,2]=>[2,-1,7,6,4,3,5]
[1,6,7,2,3,4,5]=>[2,5,6,7,-1,3,4]
[1,6,7,2,5,3,4]=>[2,5,7,-1,6,3,4]
[1,6,7,3,2,4,5]=>[2,6,5,7,-1,3,4]
[1,6,7,3,4,2,5]=>[2,7,5,6,-1,3,4]
[1,6,7,3,4,5,2]=>[2,-1,5,6,7,3,4]
[1,6,7,3,5,2,4]=>[2,7,5,-1,6,3,4]
[1,6,7,4,2,3,5]=>[2,6,7,5,-1,3,4]
[1,6,7,4,3,2,5]=>[2,7,6,5,-1,3,4]
[1,6,7,4,5,2,3]=>[2,7,-1,5,6,3,4]
[1,6,7,4,5,3,2]=>[2,-1,7,5,6,3,4]
[1,6,7,5,2,3,4]=>[2,6,7,-1,5,3,4]
[1,6,7,5,3,2,4]=>[2,7,6,-1,5,3,4]
[1,6,7,5,3,4,2]=>[2,-1,6,7,5,3,4]
[1,6,7,5,4,2,3]=>[2,7,-1,6,5,3,4]
[1,6,7,5,4,3,2]=>[2,-1,7,6,5,3,4]
[1,7,2,3,4,5,6]=>[2,4,5,6,7,-1,3]
[1,7,2,3,4,6,5]=>[2,4,5,6,-1,7,3]
[1,7,2,3,6,5,4]=>[2,4,5,-1,7,6,3]
[1,7,2,4,5,6,3]=>[2,4,-1,5,6,7,3]
[1,7,2,5,6,3,4]=>[2,4,7,-1,5,6,3]
[1,7,3,2,4,5,6]=>[2,5,4,6,7,-1,3]
[1,7,3,2,4,6,5]=>[2,5,4,6,-1,7,3]
[1,7,3,2,5,6,4]=>[2,5,4,-1,6,7,3]
[1,7,3,2,6,4,5]=>[2,5,4,7,-1,6,3]
[1,7,3,4,2,5,6]=>[2,6,4,5,7,-1,3]
[1,7,3,4,2,6,5]=>[2,6,4,5,-1,7,3]
[1,7,3,4,5,2,6]=>[2,7,4,5,6,-1,3]
[1,7,3,4,5,6,2]=>[2,-1,4,5,6,7,3]
[1,7,3,5,2,4,6]=>[2,6,4,7,5,-1,3]
[1,7,3,5,6,4,2]=>[2,-1,4,7,5,6,3]
[1,7,3,6,2,5,4]=>[2,6,4,-1,7,5,3]
[1,7,3,6,5,4,2]=>[2,-1,4,7,6,5,3]
[1,7,4,2,3,5,6]=>[2,5,6,4,7,-1,3]
[1,7,4,2,3,6,5]=>[2,5,6,4,-1,7,3]
[1,7,4,2,6,3,5]=>[2,5,7,4,-1,6,3]
[1,7,4,2,6,5,3]=>[2,5,-1,4,7,6,3]
[1,7,4,3,2,6,5]=>[2,6,5,4,-1,7,3]
[1,7,4,3,6,5,2]=>[2,-1,5,4,7,6,3]
[1,7,4,5,2,3,6]=>[2,6,7,4,5,-1,3]
[1,7,4,5,2,6,3]=>[2,6,-1,4,5,7,3]
[1,7,4,5,3,6,2]=>[2,-1,6,4,5,7,3]
[1,7,4,5,6,2,3]=>[2,7,-1,4,5,6,3]
[1,7,4,5,6,3,2]=>[2,-1,7,4,5,6,3]
[1,7,4,6,2,5,3]=>[2,6,-1,4,7,5,3]
[1,7,4,6,5,3,2]=>[2,-1,7,4,6,5,3]
[1,7,5,2,3,4,6]=>[2,5,6,7,4,-1,3]
[1,7,5,2,4,6,3]=>[2,5,-1,6,4,7,3]
[1,7,5,3,2,4,6]=>[2,6,5,7,4,-1,3]
[1,7,5,3,2,6,4]=>[2,6,5,-1,4,7,3]
[1,7,5,4,3,6,2]=>[2,-1,6,5,4,7,3]
[1,7,5,4,6,3,2]=>[2,-1,7,5,4,6,3]
[1,7,5,6,2,3,4]=>[2,6,7,-1,4,5,3]
[1,7,5,6,3,2,4]=>[2,7,6,-1,4,5,3]
[1,7,5,6,3,4,2]=>[2,-1,6,7,4,5,3]
[1,7,5,6,4,2,3]=>[2,7,-1,6,4,5,3]
[1,7,5,6,4,3,2]=>[2,-1,7,6,4,5,3]
[1,7,6,2,3,4,5]=>[2,5,6,7,-1,4,3]
[1,7,6,2,5,4,3]=>[2,5,-1,7,6,4,3]
[1,7,6,3,2,4,5]=>[2,6,5,7,-1,4,3]
[1,7,6,3,2,5,4]=>[2,6,5,-1,7,4,3]
[1,7,6,3,4,2,5]=>[2,7,5,6,-1,4,3]
[1,7,6,3,4,5,2]=>[2,-1,5,6,7,4,3]
[1,7,6,3,5,4,2]=>[2,-1,5,7,6,4,3]
[1,7,6,4,2,3,5]=>[2,6,7,5,-1,4,3]
[1,7,6,4,5,2,3]=>[2,7,-1,5,6,4,3]
[1,7,6,4,5,3,2]=>[2,-1,7,5,6,4,3]
[1,7,6,5,2,3,4]=>[2,6,7,-1,5,4,3]
[1,7,6,5,2,4,3]=>[2,6,-1,7,5,4,3]
[1,7,6,5,3,2,4]=>[2,7,6,-1,5,4,3]
[1,7,6,5,3,4,2]=>[2,-1,6,7,5,4,3]
[1,7,6,5,4,2,3]=>[2,7,-1,6,5,4,3]
[1,7,6,5,4,3,2]=>[2,-1,7,6,5,4,3]
[2,1,3,4,5,6,7]=>[3,2,4,5,6,7,-1]
[2,1,3,4,5,7,6]=>[3,2,4,5,6,-1,7]
[2,1,3,4,6,7,5]=>[3,2,4,5,-1,6,7]
[2,1,3,4,7,5,6]=>[3,2,4,5,7,-1,6]
[2,1,3,5,4,6,7]=>[3,2,4,6,5,7,-1]
[2,1,3,5,7,6,4]=>[3,2,4,-1,5,7,6]
[2,1,3,6,4,7,5]=>[3,2,4,6,-1,5,7]
[2,1,3,6,7,4,5]=>[3,2,4,7,-1,5,6]
[2,1,3,7,4,5,6]=>[3,2,4,6,7,-1,5]
[2,1,3,7,5,4,6]=>[3,2,4,7,6,-1,5]
[2,1,3,7,6,4,5]=>[3,2,4,7,-1,6,5]
[2,1,3,7,6,5,4]=>[3,2,4,-1,7,6,5]
[2,1,4,3,6,5,7]=>[3,2,5,4,7,6,-1]
[2,1,4,5,6,3,7]=>[3,2,7,4,5,6,-1]
[2,1,4,7,3,5,6]=>[3,2,6,4,7,-1,5]
[2,1,4,7,3,6,5]=>[3,2,6,4,-1,7,5]
[2,1,4,7,5,3,6]=>[3,2,7,4,6,-1,5]
[2,1,4,7,5,6,3]=>[3,2,-1,4,6,7,5]
[2,1,4,7,6,5,3]=>[3,2,-1,4,7,6,5]
[2,1,5,3,4,7,6]=>[3,2,5,6,4,-1,7]
[2,1,5,6,4,3,7]=>[3,2,7,6,4,5,-1]
[2,1,5,6,7,3,4]=>[3,2,7,-1,4,5,6]
[2,1,6,3,4,5,7]=>[3,2,5,6,7,4,-1]
[2,1,6,3,4,7,5]=>[3,2,5,6,-1,4,7]
[2,1,6,3,7,4,5]=>[3,2,5,7,-1,4,6]
[2,1,6,4,5,3,7]=>[3,2,7,5,6,4,-1]
[2,1,6,5,3,4,7]=>[3,2,6,7,5,4,-1]
[2,1,6,5,4,3,7]=>[3,2,7,6,5,4,-1]
[2,1,6,5,7,3,4]=>[3,2,7,-1,5,4,6]
[2,1,6,7,3,4,5]=>[3,2,6,7,-1,4,5]
[2,1,6,7,4,3,5]=>[3,2,7,6,-1,4,5]
[2,1,6,7,5,3,4]=>[3,2,7,-1,6,4,5]
[2,1,7,3,4,5,6]=>[3,2,5,6,7,-1,4]
[2,1,7,3,4,6,5]=>[3,2,5,6,-1,7,4]
[2,1,7,3,5,4,6]=>[3,2,5,7,6,-1,4]
[2,1,7,3,6,4,5]=>[3,2,5,7,-1,6,4]
[2,1,7,3,6,5,4]=>[3,2,5,-1,7,6,4]
[2,1,7,5,3,4,6]=>[3,2,6,7,5,-1,4]
[2,1,7,6,3,5,4]=>[3,2,6,-1,7,5,4]
[2,1,7,6,5,3,4]=>[3,2,7,-1,6,5,4]
[2,1,7,6,5,4,3]=>[3,2,-1,7,6,5,4]
[2,3,1,4,5,6,7]=>[4,2,3,5,6,7,-1]
[2,3,1,4,5,7,6]=>[4,2,3,5,6,-1,7]
[2,3,1,4,6,5,7]=>[4,2,3,5,7,6,-1]
[2,3,1,4,6,7,5]=>[4,2,3,5,-1,6,7]
[2,3,1,4,7,5,6]=>[4,2,3,5,7,-1,6]
[2,3,1,4,7,6,5]=>[4,2,3,5,-1,7,6]
[2,3,1,5,4,7,6]=>[4,2,3,6,5,-1,7]
[2,3,1,5,7,4,6]=>[4,2,3,7,5,-1,6]
[2,3,1,6,4,5,7]=>[4,2,3,6,7,5,-1]
[2,3,1,6,4,7,5]=>[4,2,3,6,-1,5,7]
[2,3,1,6,7,4,5]=>[4,2,3,7,-1,5,6]
[2,3,1,7,4,5,6]=>[4,2,3,6,7,-1,5]
[2,3,1,7,4,6,5]=>[4,2,3,6,-1,7,5]
[2,3,1,7,5,6,4]=>[4,2,3,-1,6,7,5]
[2,3,4,1,5,6,7]=>[5,2,3,4,6,7,-1]
[2,3,4,1,5,7,6]=>[5,2,3,4,6,-1,7]
[2,3,4,1,7,5,6]=>[5,2,3,4,7,-1,6]
[2,3,4,1,7,6,5]=>[5,2,3,4,-1,7,6]
[2,3,4,5,1,6,7]=>[6,2,3,4,5,7,-1]
[2,3,4,5,1,7,6]=>[6,2,3,4,5,-1,7]
[2,3,4,5,6,1,7]=>[7,2,3,4,5,6,-1]
[2,3,4,5,6,7,1]=>[-1,2,3,4,5,6,7]
[2,3,4,5,7,1,6]=>[7,2,3,4,5,-1,6]
[2,3,4,5,7,6,1]=>[-1,2,3,4,5,7,6]
[2,3,4,6,1,7,5]=>[6,2,3,4,-1,5,7]
[2,3,4,6,5,7,1]=>[-1,2,3,4,6,5,7]
[2,3,4,6,7,1,5]=>[7,2,3,4,-1,5,6]
[2,3,4,6,7,5,1]=>[-1,2,3,4,7,5,6]
[2,3,4,7,1,5,6]=>[6,2,3,4,7,-1,5]
[2,3,4,7,1,6,5]=>[6,2,3,4,-1,7,5]
[2,3,4,7,5,6,1]=>[-1,2,3,4,6,7,5]
[2,3,4,7,6,1,5]=>[7,2,3,4,-1,6,5]
[2,3,4,7,6,5,1]=>[-1,2,3,4,7,6,5]
[2,3,5,1,6,7,4]=>[5,2,3,-1,4,6,7]
[2,3,5,1,7,4,6]=>[5,2,3,7,4,-1,6]
[2,3,5,1,7,6,4]=>[5,2,3,-1,4,7,6]
[2,3,5,4,6,7,1]=>[-1,2,3,5,4,6,7]
[2,3,5,4,7,6,1]=>[-1,2,3,5,4,7,6]
[2,3,5,6,1,7,4]=>[6,2,3,-1,4,5,7]
[2,3,5,6,4,7,1]=>[-1,2,3,6,4,5,7]
[2,3,5,6,7,1,4]=>[7,2,3,-1,4,5,6]
[2,3,5,6,7,4,1]=>[-1,2,3,7,4,5,6]
[2,3,5,7,1,4,6]=>[6,2,3,7,4,-1,5]
[2,3,5,7,1,6,4]=>[6,2,3,-1,4,7,5]
[2,3,5,7,4,1,6]=>[7,2,3,6,4,-1,5]
[2,3,5,7,6,1,4]=>[7,2,3,-1,4,6,5]
[2,3,5,7,6,4,1]=>[-1,2,3,7,4,6,5]
[2,3,6,1,4,5,7]=>[5,2,3,6,7,4,-1]
[2,3,6,1,4,7,5]=>[5,2,3,6,-1,4,7]
[2,3,6,1,7,4,5]=>[5,2,3,7,-1,4,6]
[2,3,6,1,7,5,4]=>[5,2,3,-1,7,4,6]
[2,3,6,4,5,7,1]=>[-1,2,3,5,6,4,7]
[2,3,6,4,7,5,1]=>[-1,2,3,5,7,4,6]
[2,3,6,5,1,7,4]=>[6,2,3,-1,5,4,7]
[2,3,6,5,4,7,1]=>[-1,2,3,6,5,4,7]
[2,3,6,5,7,1,4]=>[7,2,3,-1,5,4,6]
[2,3,6,5,7,4,1]=>[-1,2,3,7,5,4,6]
[2,3,6,7,1,4,5]=>[6,2,3,7,-1,4,5]
[2,3,6,7,4,5,1]=>[-1,2,3,6,7,4,5]
[2,3,6,7,5,1,4]=>[7,2,3,-1,6,4,5]
[2,3,6,7,5,4,1]=>[-1,2,3,7,6,4,5]
[2,3,7,1,4,5,6]=>[5,2,3,6,7,-1,4]
[2,3,7,1,4,6,5]=>[5,2,3,6,-1,7,4]
[2,3,7,1,5,4,6]=>[5,2,3,7,6,-1,4]
[2,3,7,1,5,6,4]=>[5,2,3,-1,6,7,4]
[2,3,7,1,6,4,5]=>[5,2,3,7,-1,6,4]
[2,3,7,4,5,6,1]=>[-1,2,3,5,6,7,4]
[2,3,7,4,6,1,5]=>[7,2,3,5,-1,6,4]
[2,3,7,4,6,5,1]=>[-1,2,3,5,7,6,4]
[2,3,7,5,1,4,6]=>[6,2,3,7,5,-1,4]
[2,3,7,5,4,1,6]=>[7,2,3,6,5,-1,4]
[2,3,7,5,4,6,1]=>[-1,2,3,6,5,7,4]
[2,3,7,5,6,1,4]=>[7,2,3,-1,5,6,4]
[2,3,7,5,6,4,1]=>[-1,2,3,7,5,6,4]
[2,3,7,6,1,4,5]=>[6,2,3,7,-1,5,4]
[2,3,7,6,5,1,4]=>[7,2,3,-1,6,5,4]
[2,3,7,6,5,4,1]=>[-1,2,3,7,6,5,4]
[2,4,1,3,5,6,7]=>[4,2,5,3,6,7,-1]
[2,4,1,3,6,5,7]=>[4,2,5,3,7,6,-1]
[2,4,1,3,7,5,6]=>[4,2,5,3,7,-1,6]
[2,4,1,3,7,6,5]=>[4,2,5,3,-1,7,6]
[2,4,1,5,3,6,7]=>[4,2,6,3,5,7,-1]
[2,4,1,5,3,7,6]=>[4,2,6,3,5,-1,7]
[2,4,1,5,6,3,7]=>[4,2,7,3,5,6,-1]
[2,4,1,5,6,7,3]=>[4,2,-1,3,5,6,7]
[2,4,1,5,7,3,6]=>[4,2,7,3,5,-1,6]
[2,4,1,6,3,5,7]=>[4,2,6,3,7,5,-1]
[2,4,1,6,3,7,5]=>[4,2,6,3,-1,5,7]
[2,4,1,6,7,3,5]=>[4,2,7,3,-1,5,6]
[2,4,1,6,7,5,3]=>[4,2,-1,3,7,5,6]
[2,4,1,7,3,5,6]=>[4,2,6,3,7,-1,5]
[2,4,1,7,3,6,5]=>[4,2,6,3,-1,7,5]
[2,4,1,7,6,3,5]=>[4,2,7,3,-1,6,5]
[2,4,3,1,7,6,5]=>[5,2,4,3,-1,7,6]
[2,4,3,5,6,7,1]=>[-1,2,4,3,5,6,7]
[2,4,3,5,7,6,1]=>[-1,2,4,3,5,7,6]
[2,4,3,6,5,7,1]=>[-1,2,4,3,6,5,7]
[2,4,3,6,7,1,5]=>[7,2,4,3,-1,5,6]
[2,4,3,6,7,5,1]=>[-1,2,4,3,7,5,6]
[2,4,3,7,5,6,1]=>[-1,2,4,3,6,7,5]
[2,4,3,7,6,5,1]=>[-1,2,4,3,7,6,5]
[2,4,5,1,6,3,7]=>[5,2,7,3,4,6,-1]
[2,4,5,1,6,7,3]=>[5,2,-1,3,4,6,7]
[2,4,5,1,7,3,6]=>[5,2,7,3,4,-1,6]
[2,4,5,1,7,6,3]=>[5,2,-1,3,4,7,6]
[2,4,5,3,6,7,1]=>[-1,2,5,3,4,6,7]
[2,4,5,3,7,1,6]=>[7,2,5,3,4,-1,6]
[2,4,5,3,7,6,1]=>[-1,2,5,3,4,7,6]
[2,4,5,6,1,3,7]=>[6,2,7,3,4,5,-1]
[2,4,5,6,1,7,3]=>[6,2,-1,3,4,5,7]
[2,4,5,6,3,7,1]=>[-1,2,6,3,4,5,7]
[2,4,5,6,7,1,3]=>[7,2,-1,3,4,5,6]
[2,4,5,6,7,3,1]=>[-1,2,7,3,4,5,6]
[2,4,5,7,1,3,6]=>[6,2,7,3,4,-1,5]
[2,4,5,7,3,1,6]=>[7,2,6,3,4,-1,5]
[2,4,5,7,6,1,3]=>[7,2,-1,3,4,6,5]
[2,4,5,7,6,3,1]=>[-1,2,7,3,4,6,5]
[2,4,6,1,3,5,7]=>[5,2,6,3,7,4,-1]
[2,4,6,1,3,7,5]=>[5,2,6,3,-1,4,7]
[2,4,6,1,5,7,3]=>[5,2,-1,3,6,4,7]
[2,4,6,1,7,3,5]=>[5,2,7,3,-1,4,6]
[2,4,6,3,1,7,5]=>[6,2,5,3,-1,4,7]
[2,4,6,3,7,5,1]=>[-1,2,5,3,7,4,6]
[2,4,6,5,3,7,1]=>[-1,2,6,3,5,4,7]
[2,4,6,5,7,3,1]=>[-1,2,7,3,5,4,6]
[2,4,6,7,1,3,5]=>[6,2,7,3,-1,4,5]
[2,4,6,7,1,5,3]=>[6,2,-1,3,7,4,5]
[2,4,6,7,3,5,1]=>[-1,2,6,3,7,4,5]
[2,4,6,7,5,3,1]=>[-1,2,7,3,6,4,5]
[2,4,7,1,3,5,6]=>[5,2,6,3,7,-1,4]
[2,4,7,1,5,3,6]=>[5,2,7,3,6,-1,4]
[2,4,7,1,5,6,3]=>[5,2,-1,3,6,7,4]
[2,4,7,1,6,3,5]=>[5,2,7,3,-1,6,4]
[2,4,7,3,1,5,6]=>[6,2,5,3,7,-1,4]
[2,4,7,3,6,1,5]=>[7,2,5,3,-1,6,4]
[2,4,7,6,5,1,3]=>[7,2,-1,3,6,5,4]
[2,4,7,6,5,3,1]=>[-1,2,7,3,6,5,4]
[2,5,1,3,4,6,7]=>[4,2,5,6,3,7,-1]
[2,5,1,3,6,7,4]=>[4,2,5,-1,3,6,7]
[2,5,1,3,7,4,6]=>[4,2,5,7,3,-1,6]
[2,5,1,3,7,6,4]=>[4,2,5,-1,3,7,6]
[2,5,1,4,7,6,3]=>[4,2,-1,5,3,7,6]
[2,5,1,6,3,7,4]=>[4,2,6,-1,3,5,7]
[2,5,1,6,4,7,3]=>[4,2,-1,6,3,5,7]
[2,5,1,6,7,3,4]=>[4,2,7,-1,3,5,6]
[2,5,1,6,7,4,3]=>[4,2,-1,7,3,5,6]
[2,5,1,7,3,4,6]=>[4,2,6,7,3,-1,5]
[2,5,1,7,3,6,4]=>[4,2,6,-1,3,7,5]
[2,5,1,7,4,3,6]=>[4,2,7,6,3,-1,5]
[2,5,1,7,6,3,4]=>[4,2,7,-1,3,6,5]
[2,5,1,7,6,4,3]=>[4,2,-1,7,3,6,5]
[2,5,3,1,7,4,6]=>[5,2,4,7,3,-1,6]
[2,5,3,1,7,6,4]=>[5,2,4,-1,3,7,6]
[2,5,3,4,6,7,1]=>[-1,2,4,5,3,6,7]
[2,5,3,4,7,6,1]=>[-1,2,4,5,3,7,6]
[2,5,3,6,4,7,1]=>[-1,2,4,6,3,5,7]
[2,5,3,6,7,1,4]=>[7,2,4,-1,3,5,6]
[2,5,3,6,7,4,1]=>[-1,2,4,7,3,5,6]
[2,5,3,7,6,1,4]=>[7,2,4,-1,3,6,5]
[2,5,4,1,6,7,3]=>[5,2,-1,4,3,6,7]
[2,5,4,1,7,3,6]=>[5,2,7,4,3,-1,6]
[2,5,4,3,6,7,1]=>[-1,2,5,4,3,6,7]
[2,5,4,3,7,1,6]=>[7,2,5,4,3,-1,6]
[2,5,4,3,7,6,1]=>[-1,2,5,4,3,7,6]
[2,5,4,6,3,7,1]=>[-1,2,6,4,3,5,7]
[2,5,4,6,7,1,3]=>[7,2,-1,4,3,5,6]
[2,5,4,6,7,3,1]=>[-1,2,7,4,3,5,6]
[2,5,4,7,1,3,6]=>[6,2,7,4,3,-1,5]
[2,5,4,7,6,1,3]=>[7,2,-1,4,3,6,5]
[2,5,4,7,6,3,1]=>[-1,2,7,4,3,6,5]
[2,5,6,1,3,7,4]=>[5,2,6,-1,3,4,7]
[2,5,6,1,4,7,3]=>[5,2,-1,6,3,4,7]
[2,5,6,1,7,3,4]=>[5,2,7,-1,3,4,6]
[2,5,6,3,4,7,1]=>[-1,2,5,6,3,4,7]
[2,5,6,3,7,4,1]=>[-1,2,5,7,3,4,6]
[2,5,6,4,3,7,1]=>[-1,2,6,5,3,4,7]
[2,5,6,4,7,1,3]=>[7,2,-1,5,3,4,6]
[2,5,6,4,7,3,1]=>[-1,2,7,5,3,4,6]
[2,5,6,7,1,3,4]=>[6,2,7,-1,3,4,5]
[2,5,6,7,3,1,4]=>[7,2,6,-1,3,4,5]
[2,5,6,7,4,3,1]=>[-1,2,7,6,3,4,5]
[2,5,7,1,3,4,6]=>[5,2,6,7,3,-1,4]
[2,5,7,1,4,6,3]=>[5,2,-1,6,3,7,4]
[2,5,7,3,1,4,6]=>[6,2,5,7,3,-1,4]
[2,5,7,3,4,1,6]=>[7,2,5,6,3,-1,4]
[2,5,7,3,6,1,4]=>[7,2,5,-1,3,6,4]
[2,5,7,6,4,1,3]=>[7,2,-1,6,3,5,4]
[2,5,7,6,4,3,1]=>[-1,2,7,6,3,5,4]
[2,6,1,3,4,5,7]=>[4,2,5,6,7,3,-1]
[2,6,1,3,4,7,5]=>[4,2,5,6,-1,3,7]
[2,6,1,3,7,4,5]=>[4,2,5,7,-1,3,6]
[2,6,1,3,7,5,4]=>[4,2,5,-1,7,3,6]
[2,6,1,5,3,7,4]=>[4,2,6,-1,5,3,7]
[2,6,1,5,7,4,3]=>[4,2,-1,7,5,3,6]
[2,6,1,7,3,4,5]=>[4,2,6,7,-1,3,5]
[2,6,1,7,4,5,3]=>[4,2,-1,6,7,3,5]
[2,6,3,1,7,4,5]=>[5,2,4,7,-1,3,6]
[2,6,3,4,5,7,1]=>[-1,2,4,5,6,3,7]
[2,6,3,5,4,7,1]=>[-1,2,4,6,5,3,7]
[2,6,3,5,7,1,4]=>[7,2,4,-1,5,3,6]
[2,6,3,7,1,4,5]=>[6,2,4,7,-1,3,5]
[2,6,3,7,4,1,5]=>[7,2,4,6,-1,3,5]
[2,6,3,7,4,5,1]=>[-1,2,4,6,7,3,5]
[2,6,4,1,3,7,5]=>[5,2,6,4,-1,3,7]
[2,6,4,1,7,3,5]=>[5,2,7,4,-1,3,6]
[2,6,4,3,5,7,1]=>[-1,2,5,4,6,3,7]
[2,6,4,5,1,7,3]=>[6,2,-1,4,5,3,7]
[2,6,4,5,3,7,1]=>[-1,2,6,4,5,3,7]
[2,6,4,5,7,3,1]=>[-1,2,7,4,5,3,6]
[2,6,4,7,3,5,1]=>[-1,2,6,4,7,3,5]
[2,6,4,7,5,3,1]=>[-1,2,7,4,6,3,5]
[2,6,5,1,3,7,4]=>[5,2,6,-1,4,3,7]
[2,6,5,1,7,3,4]=>[5,2,7,-1,4,3,6]
[2,6,5,4,3,1,7]=>[7,2,6,5,4,3,-1]
[2,6,5,4,3,7,1]=>[-1,2,6,5,4,3,7]
[2,6,5,4,7,3,1]=>[-1,2,7,5,4,3,6]
[2,6,5,7,1,3,4]=>[6,2,7,-1,4,3,5]
[2,6,5,7,4,3,1]=>[-1,2,7,6,4,3,5]
[2,6,7,1,3,4,5]=>[5,2,6,7,-1,3,4]
[2,6,7,1,4,5,3]=>[5,2,-1,6,7,3,4]
[2,6,7,1,5,3,4]=>[5,2,7,-1,6,3,4]
[2,6,7,3,4,5,1]=>[-1,2,5,6,7,3,4]
[2,6,7,4,3,1,5]=>[7,2,6,5,-1,3,4]
[2,6,7,4,3,5,1]=>[-1,2,6,5,7,3,4]
[2,6,7,5,4,3,1]=>[-1,2,7,6,5,3,4]
[2,7,1,3,4,5,6]=>[4,2,5,6,7,-1,3]
[2,7,1,3,4,6,5]=>[4,2,5,6,-1,7,3]
[2,7,1,3,6,4,5]=>[4,2,5,7,-1,6,3]
[2,7,1,4,5,3,6]=>[4,2,7,5,6,-1,3]
[2,7,1,5,3,4,6]=>[4,2,6,7,5,-1,3]
[2,7,1,5,4,3,6]=>[4,2,7,6,5,-1,3]
[2,7,1,5,6,3,4]=>[4,2,7,-1,5,6,3]
[2,7,1,6,3,4,5]=>[4,2,6,7,-1,5,3]
[2,7,1,6,5,4,3]=>[4,2,-1,7,6,5,3]
[2,7,3,1,4,6,5]=>[5,2,4,6,-1,7,3]
[2,7,3,4,1,5,6]=>[6,2,4,5,7,-1,3]
[2,7,3,4,1,6,5]=>[6,2,4,5,-1,7,3]
[2,7,3,4,5,6,1]=>[-1,2,4,5,6,7,3]
[2,7,3,4,6,1,5]=>[7,2,4,5,-1,6,3]
[2,7,3,4,6,5,1]=>[-1,2,4,5,7,6,3]
[2,7,3,5,4,6,1]=>[-1,2,4,6,5,7,3]
[2,7,3,5,6,4,1]=>[-1,2,4,7,5,6,3]
[2,7,3,6,1,4,5]=>[6,2,4,7,-1,5,3]
[2,7,3,6,5,1,4]=>[7,2,4,-1,6,5,3]
[2,7,3,6,5,4,1]=>[-1,2,4,7,6,5,3]
[2,7,4,1,3,5,6]=>[5,2,6,4,7,-1,3]
[2,7,4,1,5,3,6]=>[5,2,7,4,6,-1,3]
[2,7,4,1,6,3,5]=>[5,2,7,4,-1,6,3]
[2,7,4,3,5,1,6]=>[7,2,5,4,6,-1,3]
[2,7,4,3,5,6,1]=>[-1,2,5,4,6,7,3]
[2,7,4,3,6,1,5]=>[7,2,5,4,-1,6,3]
[2,7,4,3,6,5,1]=>[-1,2,5,4,7,6,3]
[2,7,4,5,1,3,6]=>[6,2,7,4,5,-1,3]
[2,7,4,5,3,1,6]=>[7,2,6,4,5,-1,3]
[2,7,4,5,3,6,1]=>[-1,2,6,4,5,7,3]
[2,7,4,5,6,1,3]=>[7,2,-1,4,5,6,3]
[2,7,4,5,6,3,1]=>[-1,2,7,4,5,6,3]
[2,7,4,6,1,3,5]=>[6,2,7,4,-1,5,3]
[2,7,4,6,5,1,3]=>[7,2,-1,4,6,5,3]
[2,7,4,6,5,3,1]=>[-1,2,7,4,6,5,3]
[2,7,5,1,3,4,6]=>[5,2,6,7,4,-1,3]
[2,7,5,1,6,3,4]=>[5,2,7,-1,4,6,3]
[2,7,5,3,4,1,6]=>[7,2,5,6,4,-1,3]
[2,7,5,4,3,6,1]=>[-1,2,6,5,4,7,3]
[2,7,5,4,6,3,1]=>[-1,2,7,5,4,6,3]
[2,7,6,1,3,4,5]=>[5,2,6,7,-1,4,3]
[2,7,6,1,4,3,5]=>[5,2,7,6,-1,4,3]
[2,7,6,1,5,4,3]=>[5,2,-1,7,6,4,3]
[2,7,6,3,1,4,5]=>[6,2,5,7,-1,4,3]
[2,7,6,3,5,1,4]=>[7,2,5,-1,6,4,3]
[2,7,6,4,5,3,1]=>[-1,2,7,5,6,4,3]
[2,7,6,5,1,3,4]=>[6,2,7,-1,5,4,3]
[2,7,6,5,1,4,3]=>[6,2,-1,7,5,4,3]
[2,7,6,5,4,1,3]=>[7,2,-1,6,5,4,3]
[2,7,6,5,4,3,1]=>[-1,2,7,6,5,4,3]
[3,1,2,4,5,6,7]=>[3,4,2,5,6,7,-1]
[3,1,2,4,5,7,6]=>[3,4,2,5,6,-1,7]
[3,1,2,4,6,7,5]=>[3,4,2,5,-1,6,7]
[3,1,2,4,7,5,6]=>[3,4,2,5,7,-1,6]
[3,1,2,6,4,5,7]=>[3,4,2,6,7,5,-1]
[3,1,2,6,4,7,5]=>[3,4,2,6,-1,5,7]
[3,1,2,6,7,4,5]=>[3,4,2,7,-1,5,6]
[3,1,2,7,4,5,6]=>[3,4,2,6,7,-1,5]
[3,1,2,7,6,4,5]=>[3,4,2,7,-1,6,5]
[3,1,2,7,6,5,4]=>[3,4,2,-1,7,6,5]
[3,1,4,2,5,7,6]=>[3,5,2,4,6,-1,7]
[3,1,4,2,6,7,5]=>[3,5,2,4,-1,6,7]
[3,1,4,5,2,7,6]=>[3,6,2,4,5,-1,7]
[3,1,4,5,6,7,2]=>[3,-1,2,4,5,6,7]
[3,1,4,5,7,2,6]=>[3,7,2,4,5,-1,6]
[3,1,4,6,2,7,5]=>[3,6,2,4,-1,5,7]
[3,1,4,6,7,2,5]=>[3,7,2,4,-1,5,6]
[3,1,4,6,7,5,2]=>[3,-1,2,4,7,5,6]
[3,1,4,7,2,5,6]=>[3,6,2,4,7,-1,5]
[3,1,4,7,2,6,5]=>[3,6,2,4,-1,7,5]
[3,1,4,7,5,6,2]=>[3,-1,2,4,6,7,5]
[3,1,4,7,6,2,5]=>[3,7,2,4,-1,6,5]
[3,1,5,2,4,6,7]=>[3,5,2,6,4,7,-1]
[3,1,5,2,4,7,6]=>[3,5,2,6,4,-1,7]
[3,1,5,2,6,7,4]=>[3,5,2,-1,4,6,7]
[3,1,5,2,7,4,6]=>[3,5,2,7,4,-1,6]
[3,1,5,2,7,6,4]=>[3,5,2,-1,4,7,6]
[3,1,5,4,6,7,2]=>[3,-1,2,5,4,6,7]
[3,1,5,6,2,4,7]=>[3,6,2,7,4,5,-1]
[3,1,5,6,2,7,4]=>[3,6,2,-1,4,5,7]
[3,1,5,6,4,7,2]=>[3,-1,2,6,4,5,7]
[3,1,5,6,7,2,4]=>[3,7,2,-1,4,5,6]
[3,1,5,6,7,4,2]=>[3,-1,2,7,4,5,6]
[3,1,5,7,2,4,6]=>[3,6,2,7,4,-1,5]
[3,1,5,7,2,6,4]=>[3,6,2,-1,4,7,5]
[3,1,5,7,4,2,6]=>[3,7,2,6,4,-1,5]
[3,1,5,7,6,2,4]=>[3,7,2,-1,4,6,5]
[3,1,6,2,4,5,7]=>[3,5,2,6,7,4,-1]
[3,1,6,2,4,7,5]=>[3,5,2,6,-1,4,7]
[3,1,6,2,5,7,4]=>[3,5,2,-1,6,4,7]
[3,1,6,2,7,4,5]=>[3,5,2,7,-1,4,6]
[3,1,6,2,7,5,4]=>[3,5,2,-1,7,4,6]
[3,1,6,4,2,7,5]=>[3,6,2,5,-1,4,7]
[3,1,6,4,5,7,2]=>[3,-1,2,5,6,4,7]
[3,1,6,5,2,7,4]=>[3,6,2,-1,5,4,7]
[3,1,6,5,4,7,2]=>[3,-1,2,6,5,4,7]
[3,1,6,7,2,4,5]=>[3,6,2,7,-1,4,5]
[3,1,6,7,2,5,4]=>[3,6,2,-1,7,4,5]
[3,1,6,7,4,5,2]=>[3,-1,2,6,7,4,5]
[3,1,7,2,4,5,6]=>[3,5,2,6,7,-1,4]
[3,1,7,2,4,6,5]=>[3,5,2,6,-1,7,4]
[3,1,7,2,5,6,4]=>[3,5,2,-1,6,7,4]
[3,1,7,2,6,4,5]=>[3,5,2,7,-1,6,4]
[3,1,7,4,2,5,6]=>[3,6,2,5,7,-1,4]
[3,1,7,4,2,6,5]=>[3,6,2,5,-1,7,4]
[3,1,7,4,5,6,2]=>[3,-1,2,5,6,7,4]
[3,1,7,5,2,4,6]=>[3,6,2,7,5,-1,4]
[3,1,7,5,2,6,4]=>[3,6,2,-1,5,7,4]
[3,1,7,5,4,2,6]=>[3,7,2,6,5,-1,4]
[3,1,7,5,6,2,4]=>[3,7,2,-1,5,6,4]
[3,1,7,6,2,4,5]=>[3,6,2,7,-1,5,4]
[3,1,7,6,2,5,4]=>[3,6,2,-1,7,5,4]
[3,1,7,6,4,2,5]=>[3,7,2,6,-1,5,4]
[3,1,7,6,5,2,4]=>[3,7,2,-1,6,5,4]
[3,1,7,6,5,4,2]=>[3,-1,2,7,6,5,4]
[3,2,1,4,5,6,7]=>[4,3,2,5,6,7,-1]
[3,2,1,5,4,6,7]=>[4,3,2,6,5,7,-1]
[3,2,4,1,5,6,7]=>[5,3,2,4,6,7,-1]
[3,2,4,5,1,6,7]=>[6,3,2,4,5,7,-1]
[3,2,4,5,6,1,7]=>[7,3,2,4,5,6,-1]
[3,2,4,5,6,7,1]=>[-1,3,2,4,5,6,7]
[3,2,4,5,7,6,1]=>[-1,3,2,4,5,7,6]
[3,2,4,6,1,7,5]=>[6,3,2,4,-1,5,7]
[3,2,4,6,5,7,1]=>[-1,3,2,4,6,5,7]
[3,2,4,6,7,1,5]=>[7,3,2,4,-1,5,6]
[3,2,4,6,7,5,1]=>[-1,3,2,4,7,5,6]
[3,2,4,7,1,5,6]=>[6,3,2,4,7,-1,5]
[3,2,4,7,5,6,1]=>[-1,3,2,4,6,7,5]
[3,2,4,7,6,5,1]=>[-1,3,2,4,7,6,5]
[3,2,5,1,6,7,4]=>[5,3,2,-1,4,6,7]
[3,2,5,4,6,7,1]=>[-1,3,2,5,4,6,7]
[3,2,5,4,7,6,1]=>[-1,3,2,5,4,7,6]
[3,2,5,6,1,7,4]=>[6,3,2,-1,4,5,7]
[3,2,5,6,4,7,1]=>[-1,3,2,6,4,5,7]
[3,2,5,6,7,1,4]=>[7,3,2,-1,4,5,6]
[3,2,5,6,7,4,1]=>[-1,3,2,7,4,5,6]
[3,2,5,7,1,6,4]=>[6,3,2,-1,4,7,5]
[3,2,5,7,6,4,1]=>[-1,3,2,7,4,6,5]
[3,2,6,1,4,5,7]=>[5,3,2,6,7,4,-1]
[3,2,6,1,7,4,5]=>[5,3,2,7,-1,4,6]
[3,2,6,4,5,7,1]=>[-1,3,2,5,6,4,7]
[3,2,6,5,1,4,7]=>[6,3,2,7,5,4,-1]
[3,2,6,5,1,7,4]=>[6,3,2,-1,5,4,7]
[3,2,6,5,4,1,7]=>[7,3,2,6,5,4,-1]
[3,2,6,5,4,7,1]=>[-1,3,2,6,5,4,7]
[3,2,6,5,7,1,4]=>[7,3,2,-1,5,4,6]
[3,2,6,5,7,4,1]=>[-1,3,2,7,5,4,6]
[3,2,6,7,1,5,4]=>[6,3,2,-1,7,4,5]
[3,2,6,7,4,1,5]=>[7,3,2,6,-1,4,5]
[3,2,6,7,5,4,1]=>[-1,3,2,7,6,4,5]
[3,2,7,4,5,6,1]=>[-1,3,2,5,6,7,4]
[3,2,7,4,6,5,1]=>[-1,3,2,5,7,6,4]
[3,2,7,5,4,6,1]=>[-1,3,2,6,5,7,4]
[3,2,7,5,6,1,4]=>[7,3,2,-1,5,6,4]
[3,2,7,5,6,4,1]=>[-1,3,2,7,5,6,4]
[3,2,7,6,5,1,4]=>[7,3,2,-1,6,5,4]
[3,2,7,6,5,4,1]=>[-1,3,2,7,6,5,4]
[3,4,1,2,5,6,7]=>[4,5,2,3,6,7,-1]
[3,4,1,2,5,7,6]=>[4,5,2,3,6,-1,7]
[3,4,1,2,6,7,5]=>[4,5,2,3,-1,6,7]
[3,4,1,2,7,5,6]=>[4,5,2,3,7,-1,6]
[3,4,1,5,2,7,6]=>[4,6,2,3,5,-1,7]
[3,4,1,5,6,7,2]=>[4,-1,2,3,5,6,7]
[3,4,1,5,7,2,6]=>[4,7,2,3,5,-1,6]
[3,4,1,6,2,5,7]=>[4,6,2,3,7,5,-1]
[3,4,1,6,2,7,5]=>[4,6,2,3,-1,5,7]
[3,4,1,6,5,7,2]=>[4,-1,2,3,6,5,7]
[3,4,1,6,7,2,5]=>[4,7,2,3,-1,5,6]
[3,4,1,7,2,5,6]=>[4,6,2,3,7,-1,5]
[3,4,1,7,2,6,5]=>[4,6,2,3,-1,7,5]
[3,4,1,7,5,6,2]=>[4,-1,2,3,6,7,5]
[3,4,1,7,6,2,5]=>[4,7,2,3,-1,6,5]
[3,4,2,1,5,6,7]=>[5,4,2,3,6,7,-1]
[3,4,2,5,1,6,7]=>[6,4,2,3,5,7,-1]
[3,4,2,5,6,1,7]=>[7,4,2,3,5,6,-1]
[3,4,2,5,6,7,1]=>[-1,4,2,3,5,6,7]
[3,4,2,5,7,1,6]=>[7,4,2,3,5,-1,6]
[3,4,2,5,7,6,1]=>[-1,4,2,3,5,7,6]
[3,4,2,6,1,7,5]=>[6,4,2,3,-1,5,7]
[3,4,2,6,5,7,1]=>[-1,4,2,3,6,5,7]
[3,4,2,6,7,5,1]=>[-1,4,2,3,7,5,6]
[3,4,2,7,1,5,6]=>[6,4,2,3,7,-1,5]
[3,4,2,7,6,5,1]=>[-1,4,2,3,7,6,5]
[3,4,5,1,2,6,7]=>[5,6,2,3,4,7,-1]
[3,4,5,1,2,7,6]=>[5,6,2,3,4,-1,7]
[3,4,5,1,6,7,2]=>[5,-1,2,3,4,6,7]
[3,4,5,1,7,2,6]=>[5,7,2,3,4,-1,6]
[3,4,5,1,7,6,2]=>[5,-1,2,3,4,7,6]
[3,4,5,2,1,6,7]=>[6,5,2,3,4,7,-1]
[3,4,5,2,6,1,7]=>[7,5,2,3,4,6,-1]
[3,4,5,2,6,7,1]=>[-1,5,2,3,4,6,7]
[3,4,5,2,7,1,6]=>[7,5,2,3,4,-1,6]
[3,4,5,2,7,6,1]=>[-1,5,2,3,4,7,6]
[3,4,5,6,1,2,7]=>[6,7,2,3,4,5,-1]
[3,4,5,6,1,7,2]=>[6,-1,2,3,4,5,7]
[3,4,5,6,2,1,7]=>[7,6,2,3,4,5,-1]
[3,4,5,6,2,7,1]=>[-1,6,2,3,4,5,7]
[3,4,5,6,7,1,2]=>[7,-1,2,3,4,5,6]
[3,4,5,6,7,2,1]=>[-1,7,2,3,4,5,6]
[3,4,5,7,1,2,6]=>[6,7,2,3,4,-1,5]
[3,4,5,7,1,6,2]=>[6,-1,2,3,4,7,5]
[3,4,5,7,2,1,6]=>[7,6,2,3,4,-1,5]
[3,4,5,7,6,2,1]=>[-1,7,2,3,4,6,5]
[3,4,6,1,2,5,7]=>[5,6,2,3,7,4,-1]
[3,4,6,1,2,7,5]=>[5,6,2,3,-1,4,7]
[3,4,6,1,5,2,7]=>[5,7,2,3,6,4,-1]
[3,4,6,1,7,2,5]=>[5,7,2,3,-1,4,6]
[3,4,6,1,7,5,2]=>[5,-1,2,3,7,4,6]
[3,4,6,2,1,5,7]=>[6,5,2,3,7,4,-1]
[3,4,6,2,1,7,5]=>[6,5,2,3,-1,4,7]
[3,4,6,2,7,1,5]=>[7,5,2,3,-1,4,6]
[3,4,6,2,7,5,1]=>[-1,5,2,3,7,4,6]
[3,4,6,5,2,7,1]=>[-1,6,2,3,5,4,7]
[3,4,6,5,7,1,2]=>[7,-1,2,3,5,4,6]
[3,4,6,5,7,2,1]=>[-1,7,2,3,5,4,6]
[3,4,6,7,1,2,5]=>[6,7,2,3,-1,4,5]
[3,4,6,7,1,5,2]=>[6,-1,2,3,7,4,5]
[3,4,6,7,2,1,5]=>[7,6,2,3,-1,4,5]
[3,4,6,7,5,1,2]=>[7,-1,2,3,6,4,5]
[3,4,6,7,5,2,1]=>[-1,7,2,3,6,4,5]
[3,4,7,1,2,5,6]=>[5,6,2,3,7,-1,4]
[3,4,7,1,2,6,5]=>[5,6,2,3,-1,7,4]
[3,4,7,1,5,6,2]=>[5,-1,2,3,6,7,4]
[3,4,7,1,6,2,5]=>[5,7,2,3,-1,6,4]
[3,4,7,2,1,5,6]=>[6,5,2,3,7,-1,4]
[3,4,7,2,1,6,5]=>[6,5,2,3,-1,7,4]
[3,4,7,2,5,1,6]=>[7,5,2,3,6,-1,4]
[3,4,7,2,5,6,1]=>[-1,5,2,3,6,7,4]
[3,4,7,5,1,2,6]=>[6,7,2,3,5,-1,4]
[3,4,7,5,6,1,2]=>[7,-1,2,3,5,6,4]
[3,4,7,6,1,5,2]=>[6,-1,2,3,7,5,4]
[3,4,7,6,2,1,5]=>[7,6,2,3,-1,5,4]
[3,4,7,6,5,2,1]=>[-1,7,2,3,6,5,4]
[3,5,1,2,4,6,7]=>[4,5,2,6,3,7,-1]
[3,5,1,2,6,7,4]=>[4,5,2,-1,3,6,7]
[3,5,1,2,7,4,6]=>[4,5,2,7,3,-1,6]
[3,5,1,2,7,6,4]=>[4,5,2,-1,3,7,6]
[3,5,1,4,2,6,7]=>[4,6,2,5,3,7,-1]
[3,5,1,4,6,7,2]=>[4,-1,2,5,3,6,7]
[3,5,1,4,7,2,6]=>[4,7,2,5,3,-1,6]
[3,5,1,4,7,6,2]=>[4,-1,2,5,3,7,6]
[3,5,1,6,2,4,7]=>[4,6,2,7,3,5,-1]
[3,5,1,6,2,7,4]=>[4,6,2,-1,3,5,7]
[3,5,1,6,4,7,2]=>[4,-1,2,6,3,5,7]
[3,5,1,6,7,2,4]=>[4,7,2,-1,3,5,6]
[3,5,1,6,7,4,2]=>[4,-1,2,7,3,5,6]
[3,5,1,7,2,4,6]=>[4,6,2,7,3,-1,5]
[3,5,1,7,2,6,4]=>[4,6,2,-1,3,7,5]
[3,5,1,7,4,6,2]=>[4,-1,2,6,3,7,5]
[3,5,2,1,4,6,7]=>[5,4,2,6,3,7,-1]
[3,5,2,1,4,7,6]=>[5,4,2,6,3,-1,7]
[3,5,2,1,6,7,4]=>[5,4,2,-1,3,6,7]
[3,5,2,1,7,4,6]=>[5,4,2,7,3,-1,6]
[3,5,2,6,1,4,7]=>[6,4,2,7,3,5,-1]
[3,5,2,6,1,7,4]=>[6,4,2,-1,3,5,7]
[3,5,2,6,4,7,1]=>[-1,4,2,6,3,5,7]
[3,5,2,6,7,1,4]=>[7,4,2,-1,3,5,6]
[3,5,2,6,7,4,1]=>[-1,4,2,7,3,5,6]
[3,5,2,7,1,6,4]=>[6,4,2,-1,3,7,5]
[3,5,2,7,4,1,6]=>[7,4,2,6,3,-1,5]
[3,5,2,7,4,6,1]=>[-1,4,2,6,3,7,5]
[3,5,2,7,6,4,1]=>[-1,4,2,7,3,6,5]
[3,5,4,1,7,2,6]=>[5,7,2,4,3,-1,6]
[3,5,4,2,6,7,1]=>[-1,5,2,4,3,6,7]
[3,5,4,2,7,6,1]=>[-1,5,2,4,3,7,6]
[3,5,4,6,1,7,2]=>[6,-1,2,4,3,5,7]
[3,5,4,6,2,7,1]=>[-1,6,2,4,3,5,7]
[3,5,4,6,7,2,1]=>[-1,7,2,4,3,5,6]
[3,5,4,7,1,6,2]=>[6,-1,2,4,3,7,5]
[3,5,4,7,2,1,6]=>[7,6,2,4,3,-1,5]
[3,5,4,7,6,2,1]=>[-1,7,2,4,3,6,5]
[3,5,6,1,2,4,7]=>[5,6,2,7,3,4,-1]
[3,5,6,1,2,7,4]=>[5,6,2,-1,3,4,7]
[3,5,6,1,4,2,7]=>[5,7,2,6,3,4,-1]
[3,5,6,1,7,2,4]=>[5,7,2,-1,3,4,6]
[3,5,6,2,4,7,1]=>[-1,5,2,6,3,4,7]
[3,5,6,2,7,1,4]=>[7,5,2,-1,3,4,6]
[3,5,6,2,7,4,1]=>[-1,5,2,7,3,4,6]
[3,5,6,4,1,2,7]=>[6,7,2,5,3,4,-1]
[3,5,6,4,2,1,7]=>[7,6,2,5,3,4,-1]
[3,5,6,4,2,7,1]=>[-1,6,2,5,3,4,7]
[3,5,6,4,7,1,2]=>[7,-1,2,5,3,4,6]
[3,5,6,4,7,2,1]=>[-1,7,2,5,3,4,6]
[3,5,6,7,1,2,4]=>[6,7,2,-1,3,4,5]
[3,5,6,7,2,1,4]=>[7,6,2,-1,3,4,5]
[3,5,6,7,4,1,2]=>[7,-1,2,6,3,4,5]
[3,5,6,7,4,2,1]=>[-1,7,2,6,3,4,5]
[3,5,7,1,2,4,6]=>[5,6,2,7,3,-1,4]
[3,5,7,1,4,6,2]=>[5,-1,2,6,3,7,4]
[3,5,7,2,1,4,6]=>[6,5,2,7,3,-1,4]
[3,5,7,2,4,1,6]=>[7,5,2,6,3,-1,4]
[3,5,7,4,1,6,2]=>[6,-1,2,5,3,7,4]
[3,5,7,4,2,1,6]=>[7,6,2,5,3,-1,4]
[3,5,7,6,1,4,2]=>[6,-1,2,7,3,5,4]
[3,5,7,6,2,1,4]=>[7,6,2,-1,3,5,4]
[3,5,7,6,4,2,1]=>[-1,7,2,6,3,5,4]
[3,6,1,2,4,5,7]=>[4,5,2,6,7,3,-1]
[3,6,1,2,4,7,5]=>[4,5,2,6,-1,3,7]
[3,6,1,2,7,4,5]=>[4,5,2,7,-1,3,6]
[3,6,1,2,7,5,4]=>[4,5,2,-1,7,3,6]
[3,6,1,4,2,7,5]=>[4,6,2,5,-1,3,7]
[3,6,1,4,5,2,7]=>[4,7,2,5,6,3,-1]
[3,6,1,4,5,7,2]=>[4,-1,2,5,6,3,7]
[3,6,1,4,7,2,5]=>[4,7,2,5,-1,3,6]
[3,6,1,4,7,5,2]=>[4,-1,2,5,7,3,6]
[3,6,1,5,7,4,2]=>[4,-1,2,7,5,3,6]
[3,6,1,7,2,4,5]=>[4,6,2,7,-1,3,5]
[3,6,1,7,2,5,4]=>[4,6,2,-1,7,3,5]
[3,6,1,7,5,2,4]=>[4,7,2,-1,6,3,5]
[3,6,1,7,5,4,2]=>[4,-1,2,7,6,3,5]
[3,6,2,1,4,7,5]=>[5,4,2,6,-1,3,7]
[3,6,2,1,5,4,7]=>[5,4,2,7,6,3,-1]
[3,6,2,1,7,5,4]=>[5,4,2,-1,7,3,6]
[3,6,2,4,1,5,7]=>[6,4,2,5,7,3,-1]
[3,6,2,4,1,7,5]=>[6,4,2,5,-1,3,7]
[3,6,2,4,7,1,5]=>[7,4,2,5,-1,3,6]
[3,6,2,4,7,5,1]=>[-1,4,2,5,7,3,6]
[3,6,2,7,1,5,4]=>[6,4,2,-1,7,3,5]
[3,6,2,7,4,5,1]=>[-1,4,2,6,7,3,5]
[3,6,2,7,5,1,4]=>[7,4,2,-1,6,3,5]
[3,6,4,2,7,5,1]=>[-1,5,2,4,7,3,6]
[3,6,4,7,1,5,2]=>[6,-1,2,4,7,3,5]
[3,6,4,7,2,5,1]=>[-1,6,2,4,7,3,5]
[3,6,5,2,1,7,4]=>[6,5,2,-1,4,3,7]
[3,6,5,2,7,1,4]=>[7,5,2,-1,4,3,6]
[3,6,5,4,2,1,7]=>[7,6,2,5,4,3,-1]
[3,6,5,4,2,7,1]=>[-1,6,2,5,4,3,7]
[3,6,5,4,7,2,1]=>[-1,7,2,5,4,3,6]
[3,6,5,7,2,1,4]=>[7,6,2,-1,4,3,5]
[3,6,5,7,4,2,1]=>[-1,7,2,6,4,3,5]
[3,6,7,1,2,4,5]=>[5,6,2,7,-1,3,4]
[3,6,7,1,4,2,5]=>[5,7,2,6,-1,3,4]
[3,6,7,1,5,4,2]=>[5,-1,2,7,6,3,4]
[3,6,7,2,4,5,1]=>[-1,5,2,6,7,3,4]
[3,6,7,4,1,5,2]=>[6,-1,2,5,7,3,4]
[3,6,7,4,5,1,2]=>[7,-1,2,5,6,3,4]
[3,6,7,5,4,2,1]=>[-1,7,2,6,5,3,4]
[3,7,1,2,4,5,6]=>[4,5,2,6,7,-1,3]
[3,7,1,2,6,4,5]=>[4,5,2,7,-1,6,3]
[3,7,1,4,2,5,6]=>[4,6,2,5,7,-1,3]
[3,7,1,4,5,2,6]=>[4,7,2,5,6,-1,3]
[3,7,1,4,5,6,2]=>[4,-1,2,5,6,7,3]
[3,7,1,4,6,5,2]=>[4,-1,2,5,7,6,3]
[3,7,1,5,2,6,4]=>[4,6,2,-1,5,7,3]
[3,7,1,5,4,6,2]=>[4,-1,2,6,5,7,3]
[3,7,1,6,4,2,5]=>[4,7,2,6,-1,5,3]
[3,7,1,6,5,4,2]=>[4,-1,2,7,6,5,3]
[3,7,2,1,4,5,6]=>[5,4,2,6,7,-1,3]
[3,7,2,1,4,6,5]=>[5,4,2,6,-1,7,3]
[3,7,2,1,5,4,6]=>[5,4,2,7,6,-1,3]
[3,7,2,1,5,6,4]=>[5,4,2,-1,6,7,3]
[3,7,2,4,1,5,6]=>[6,4,2,5,7,-1,3]
[3,7,2,4,1,6,5]=>[6,4,2,5,-1,7,3]
[3,7,2,4,5,1,6]=>[7,4,2,5,6,-1,3]
[3,7,2,4,5,6,1]=>[-1,4,2,5,6,7,3]
[3,7,2,5,1,4,6]=>[6,4,2,7,5,-1,3]
[3,7,2,5,4,1,6]=>[7,4,2,6,5,-1,3]
[3,7,2,6,4,1,5]=>[7,4,2,6,-1,5,3]
[3,7,4,1,2,5,6]=>[5,6,2,4,7,-1,3]
[3,7,4,1,2,6,5]=>[5,6,2,4,-1,7,3]
[3,7,4,2,1,5,6]=>[6,5,2,4,7,-1,3]
[3,7,4,2,1,6,5]=>[6,5,2,4,-1,7,3]
[3,7,4,2,5,1,6]=>[7,5,2,4,6,-1,3]
[3,7,4,2,5,6,1]=>[-1,5,2,4,6,7,3]
[3,7,4,5,1,2,6]=>[6,7,2,4,5,-1,3]
[3,7,4,5,2,1,6]=>[7,6,2,4,5,-1,3]
[3,7,4,5,2,6,1]=>[-1,6,2,4,5,7,3]
[3,7,4,5,6,1,2]=>[7,-1,2,4,5,6,3]
[3,7,4,5,6,2,1]=>[-1,7,2,4,5,6,3]
[3,7,4,6,1,2,5]=>[6,7,2,4,-1,5,3]
[3,7,4,6,1,5,2]=>[6,-1,2,4,7,5,3]
[3,7,4,6,2,1,5]=>[7,6,2,4,-1,5,3]
[3,7,4,6,2,5,1]=>[-1,6,2,4,7,5,3]
[3,7,5,1,2,4,6]=>[5,6,2,7,4,-1,3]
[3,7,5,1,4,2,6]=>[5,7,2,6,4,-1,3]
[3,7,5,1,6,2,4]=>[5,7,2,-1,4,6,3]
[3,7,5,2,4,1,6]=>[7,5,2,6,4,-1,3]
[3,7,5,2,4,6,1]=>[-1,5,2,6,4,7,3]
[3,7,5,2,6,4,1]=>[-1,5,2,7,4,6,3]
[3,7,5,6,1,2,4]=>[6,7,2,-1,4,5,3]
[3,7,5,6,2,1,4]=>[7,6,2,-1,4,5,3]
[3,7,6,1,2,4,5]=>[5,6,2,7,-1,4,3]
[3,7,6,1,2,5,4]=>[5,6,2,-1,7,4,3]
[3,7,6,1,4,2,5]=>[5,7,2,6,-1,4,3]
[3,7,6,1,4,5,2]=>[5,-1,2,6,7,4,3]
[3,7,6,2,1,4,5]=>[6,5,2,7,-1,4,3]
[3,7,6,2,4,1,5]=>[7,5,2,6,-1,4,3]
[3,7,6,2,4,5,1]=>[-1,5,2,6,7,4,3]
[3,7,6,5,1,4,2]=>[6,-1,2,7,5,4,3]
[3,7,6,5,2,1,4]=>[7,6,2,-1,5,4,3]
[3,7,6,5,4,2,1]=>[-1,7,2,6,5,4,3]
[4,1,2,3,5,6,7]=>[3,4,5,2,6,7,-1]
[4,1,2,3,5,7,6]=>[3,4,5,2,6,-1,7]
[4,1,2,3,7,5,6]=>[3,4,5,2,7,-1,6]
[4,1,2,5,3,7,6]=>[3,4,6,2,5,-1,7]
[4,1,2,5,6,7,3]=>[3,4,-1,2,5,6,7]
[4,1,2,5,7,3,6]=>[3,4,7,2,5,-1,6]
[4,1,2,5,7,6,3]=>[3,4,-1,2,5,7,6]
[4,1,2,6,3,5,7]=>[3,4,6,2,7,5,-1]
[4,1,2,6,3,7,5]=>[3,4,6,2,-1,5,7]
[4,1,2,6,5,7,3]=>[3,4,-1,2,6,5,7]
[4,1,2,6,7,3,5]=>[3,4,7,2,-1,5,6]
[4,1,2,6,7,5,3]=>[3,4,-1,2,7,5,6]
[4,1,2,7,3,5,6]=>[3,4,6,2,7,-1,5]
[4,1,2,7,3,6,5]=>[3,4,6,2,-1,7,5]
[4,1,2,7,5,3,6]=>[3,4,7,2,6,-1,5]
[4,1,2,7,6,3,5]=>[3,4,7,2,-1,6,5]
[4,1,2,7,6,5,3]=>[3,4,-1,2,7,6,5]
[4,1,3,2,5,6,7]=>[3,5,4,2,6,7,-1]
[4,1,3,2,7,6,5]=>[3,5,4,2,-1,7,6]
[4,1,3,6,2,7,5]=>[3,6,4,2,-1,5,7]
[4,1,3,7,2,6,5]=>[3,6,4,2,-1,7,5]
[4,1,5,2,3,6,7]=>[3,5,6,2,4,7,-1]
[4,1,5,2,3,7,6]=>[3,5,6,2,4,-1,7]
[4,1,5,2,6,7,3]=>[3,5,-1,2,4,6,7]
[4,1,5,2,7,3,6]=>[3,5,7,2,4,-1,6]
[4,1,5,2,7,6,3]=>[3,5,-1,2,4,7,6]
[4,1,5,3,2,7,6]=>[3,6,5,2,4,-1,7]
[4,1,5,3,6,7,2]=>[3,-1,5,2,4,6,7]
[4,1,5,3,7,2,6]=>[3,7,5,2,4,-1,6]
[4,1,5,6,2,3,7]=>[3,6,7,2,4,5,-1]
[4,1,5,6,2,7,3]=>[3,6,-1,2,4,5,7]
[4,1,5,6,3,7,2]=>[3,-1,6,2,4,5,7]
[4,1,5,6,7,2,3]=>[3,7,-1,2,4,5,6]
[4,1,5,6,7,3,2]=>[3,-1,7,2,4,5,6]
[4,1,5,7,2,3,6]=>[3,6,7,2,4,-1,5]
[4,1,5,7,2,6,3]=>[3,6,-1,2,4,7,5]
[4,1,5,7,3,2,6]=>[3,7,6,2,4,-1,5]
[4,1,5,7,3,6,2]=>[3,-1,6,2,4,7,5]
[4,1,6,2,3,5,7]=>[3,5,6,2,7,4,-1]
[4,1,6,2,3,7,5]=>[3,5,6,2,-1,4,7]
[4,1,6,2,5,7,3]=>[3,5,-1,2,6,4,7]
[4,1,6,2,7,3,5]=>[3,5,7,2,-1,4,6]
[4,1,6,2,7,5,3]=>[3,5,-1,2,7,4,6]
[4,1,6,3,2,7,5]=>[3,6,5,2,-1,4,7]
[4,1,6,3,7,2,5]=>[3,7,5,2,-1,4,6]
[4,1,6,3,7,5,2]=>[3,-1,5,2,7,4,6]
[4,1,6,5,2,7,3]=>[3,6,-1,2,5,4,7]
[4,1,6,5,7,3,2]=>[3,-1,7,2,5,4,6]
[4,1,6,7,2,3,5]=>[3,6,7,2,-1,4,5]
[4,1,6,7,3,5,2]=>[3,-1,6,2,7,4,5]
[4,1,6,7,5,3,2]=>[3,-1,7,2,6,4,5]
[4,1,7,2,3,5,6]=>[3,5,6,2,7,-1,4]
[4,1,7,2,3,6,5]=>[3,5,6,2,-1,7,4]
[4,1,7,2,5,3,6]=>[3,5,7,2,6,-1,4]
[4,1,7,2,5,6,3]=>[3,5,-1,2,6,7,4]
[4,1,7,2,6,3,5]=>[3,5,7,2,-1,6,4]
[4,1,7,3,2,5,6]=>[3,6,5,2,7,-1,4]
[4,1,7,3,2,6,5]=>[3,6,5,2,-1,7,4]
[4,1,7,3,5,2,6]=>[3,7,5,2,6,-1,4]
[4,1,7,3,5,6,2]=>[3,-1,5,2,6,7,4]
[4,1,7,3,6,2,5]=>[3,7,5,2,-1,6,4]
[4,1,7,5,2,3,6]=>[3,6,7,2,5,-1,4]
[4,1,7,5,3,2,6]=>[3,7,6,2,5,-1,4]
[4,1,7,5,3,6,2]=>[3,-1,6,2,5,7,4]
[4,1,7,5,6,3,2]=>[3,-1,7,2,5,6,4]
[4,1,7,6,2,3,5]=>[3,6,7,2,-1,5,4]
[4,1,7,6,3,5,2]=>[3,-1,6,2,7,5,4]
[4,1,7,6,5,2,3]=>[3,7,-1,2,6,5,4]
[4,1,7,6,5,3,2]=>[3,-1,7,2,6,5,4]
[4,2,1,3,5,6,7]=>[4,3,5,2,6,7,-1]
[4,2,1,3,6,7,5]=>[4,3,5,2,-1,6,7]
[4,2,1,3,7,5,6]=>[4,3,5,2,7,-1,6]
[4,2,1,5,3,7,6]=>[4,3,6,2,5,-1,7]
[4,2,1,5,6,3,7]=>[4,3,7,2,5,6,-1]
[4,2,1,5,6,7,3]=>[4,3,-1,2,5,6,7]
[4,2,1,5,7,3,6]=>[4,3,7,2,5,-1,6]
[4,2,1,6,3,7,5]=>[4,3,6,2,-1,5,7]
[4,2,1,6,7,3,5]=>[4,3,7,2,-1,5,6]
[4,2,1,7,3,5,6]=>[4,3,6,2,7,-1,5]
[4,2,1,7,3,6,5]=>[4,3,6,2,-1,7,5]
[4,2,1,7,5,3,6]=>[4,3,7,2,6,-1,5]
[4,2,1,7,5,6,3]=>[4,3,-1,2,6,7,5]
[4,2,1,7,6,3,5]=>[4,3,7,2,-1,6,5]
[4,2,1,7,6,5,3]=>[4,3,-1,2,7,6,5]
[4,2,3,1,5,6,7]=>[5,3,4,2,6,7,-1]
[4,2,3,5,1,6,7]=>[6,3,4,2,5,7,-1]
[4,2,3,5,6,1,7]=>[7,3,4,2,5,6,-1]
[4,2,3,5,6,7,1]=>[-1,3,4,2,5,6,7]
[4,2,3,5,7,1,6]=>[7,3,4,2,5,-1,6]
[4,2,3,5,7,6,1]=>[-1,3,4,2,5,7,6]
[4,2,3,6,1,7,5]=>[6,3,4,2,-1,5,7]
[4,2,3,6,5,7,1]=>[-1,3,4,2,6,5,7]
[4,2,3,6,7,1,5]=>[7,3,4,2,-1,5,6]
[4,2,3,7,5,6,1]=>[-1,3,4,2,6,7,5]
[4,2,3,7,6,1,5]=>[7,3,4,2,-1,6,5]
[4,2,3,7,6,5,1]=>[-1,3,4,2,7,6,5]
[4,2,5,1,3,6,7]=>[5,3,6,2,4,7,-1]
[4,2,5,1,3,7,6]=>[5,3,6,2,4,-1,7]
[4,2,5,1,6,7,3]=>[5,3,-1,2,4,6,7]
[4,2,5,1,7,3,6]=>[5,3,7,2,4,-1,6]
[4,2,5,1,7,6,3]=>[5,3,-1,2,4,7,6]
[4,2,5,3,6,7,1]=>[-1,3,5,2,4,6,7]
[4,2,5,6,1,3,7]=>[6,3,7,2,4,5,-1]
[4,2,5,6,1,7,3]=>[6,3,-1,2,4,5,7]
[4,2,5,6,3,7,1]=>[-1,3,6,2,4,5,7]
[4,2,5,6,7,1,3]=>[7,3,-1,2,4,5,6]
[4,2,5,7,1,6,3]=>[6,3,-1,2,4,7,5]
[4,2,5,7,3,1,6]=>[7,3,6,2,4,-1,5]
[4,2,5,7,3,6,1]=>[-1,3,6,2,4,7,5]
[4,2,6,1,3,7,5]=>[5,3,6,2,-1,4,7]
[4,2,6,1,5,3,7]=>[5,3,7,2,6,4,-1]
[4,2,6,1,5,7,3]=>[5,3,-1,2,6,4,7]
[4,2,6,1,7,3,5]=>[5,3,7,2,-1,4,6]
[4,2,6,1,7,5,3]=>[5,3,-1,2,7,4,6]
[4,2,6,3,1,5,7]=>[6,3,5,2,7,4,-1]
[4,2,6,3,1,7,5]=>[6,3,5,2,-1,4,7]
[4,2,6,3,7,1,5]=>[7,3,5,2,-1,4,6]
[4,2,6,3,7,5,1]=>[-1,3,5,2,7,4,6]
[4,2,6,5,1,3,7]=>[6,3,7,2,5,4,-1]
[4,2,6,5,7,1,3]=>[7,3,-1,2,5,4,6]
[4,2,6,7,1,5,3]=>[6,3,-1,2,7,4,5]
[4,2,6,7,5,1,3]=>[7,3,-1,2,6,4,5]
[4,2,7,1,3,5,6]=>[5,3,6,2,7,-1,4]
[4,2,7,1,5,3,6]=>[5,3,7,2,6,-1,4]
[4,2,7,1,5,6,3]=>[5,3,-1,2,6,7,4]
[4,2,7,1,6,5,3]=>[5,3,-1,2,7,6,4]
[4,2,7,3,1,5,6]=>[6,3,5,2,7,-1,4]
[4,2,7,3,1,6,5]=>[6,3,5,2,-1,7,4]
[4,2,7,3,5,1,6]=>[7,3,5,2,6,-1,4]
[4,2,7,3,5,6,1]=>[-1,3,5,2,6,7,4]
[4,2,7,5,3,1,6]=>[7,3,6,2,5,-1,4]
[4,2,7,5,3,6,1]=>[-1,3,6,2,5,7,4]
[4,2,7,5,6,3,1]=>[-1,3,7,2,5,6,4]
[4,2,7,6,1,3,5]=>[6,3,7,2,-1,5,4]
[4,2,7,6,3,1,5]=>[7,3,6,2,-1,5,4]
[4,2,7,6,3,5,1]=>[-1,3,6,2,7,5,4]
[4,2,7,6,5,3,1]=>[-1,3,7,2,6,5,4]
[4,3,1,2,5,6,7]=>[4,5,3,2,6,7,-1]
[4,3,1,2,7,5,6]=>[4,5,3,2,7,-1,6]
[4,3,1,5,6,7,2]=>[4,-1,3,2,5,6,7]
[4,3,1,5,7,2,6]=>[4,7,3,2,5,-1,6]
[4,3,1,6,2,7,5]=>[4,6,3,2,-1,5,7]
[4,3,1,6,7,2,5]=>[4,7,3,2,-1,5,6]
[4,3,1,7,2,5,6]=>[4,6,3,2,7,-1,5]
[4,3,1,7,5,2,6]=>[4,7,3,2,6,-1,5]
[4,3,1,7,6,2,5]=>[4,7,3,2,-1,6,5]
[4,3,1,7,6,5,2]=>[4,-1,3,2,7,6,5]
[4,3,2,1,5,6,7]=>[5,4,3,2,6,7,-1]
[4,3,2,1,5,7,6]=>[5,4,3,2,6,-1,7]
[4,3,2,5,1,6,7]=>[6,4,3,2,5,7,-1]
[4,3,2,5,1,7,6]=>[6,4,3,2,5,-1,7]
[4,3,2,5,6,1,7]=>[7,4,3,2,5,6,-1]
[4,3,2,5,6,7,1]=>[-1,4,3,2,5,6,7]
[4,3,2,5,7,6,1]=>[-1,4,3,2,5,7,6]
[4,3,2,6,5,7,1]=>[-1,4,3,2,6,5,7]
[4,3,2,6,7,5,1]=>[-1,4,3,2,7,5,6]
[4,3,2,7,5,6,1]=>[-1,4,3,2,6,7,5]
[4,3,2,7,6,5,1]=>[-1,4,3,2,7,6,5]
[4,3,5,1,2,6,7]=>[5,6,3,2,4,7,-1]
[4,3,5,1,2,7,6]=>[5,6,3,2,4,-1,7]
[4,3,5,1,6,7,2]=>[5,-1,3,2,4,6,7]
[4,3,5,2,1,6,7]=>[6,5,3,2,4,7,-1]
[4,3,5,2,6,1,7]=>[7,5,3,2,4,6,-1]
[4,3,5,2,6,7,1]=>[-1,5,3,2,4,6,7]
[4,3,5,2,7,6,1]=>[-1,5,3,2,4,7,6]
[4,3,5,6,1,2,7]=>[6,7,3,2,4,5,-1]
[4,3,5,6,2,1,7]=>[7,6,3,2,4,5,-1]
[4,3,5,6,2,7,1]=>[-1,6,3,2,4,5,7]
[4,3,5,6,7,2,1]=>[-1,7,3,2,4,5,6]
[4,3,5,7,6,2,1]=>[-1,7,3,2,4,6,5]
[4,3,6,1,5,7,2]=>[5,-1,3,2,6,4,7]
[4,3,6,2,1,7,5]=>[6,5,3,2,-1,4,7]
[4,3,6,2,5,1,7]=>[7,5,3,2,6,4,-1]
[4,3,6,2,7,1,5]=>[7,5,3,2,-1,4,6]
[4,3,6,5,1,7,2]=>[6,-1,3,2,5,4,7]
[4,3,6,5,2,1,7]=>[7,6,3,2,5,4,-1]
[4,3,6,5,2,7,1]=>[-1,6,3,2,5,4,7]
[4,3,6,5,7,2,1]=>[-1,7,3,2,5,4,6]
[4,3,6,7,5,2,1]=>[-1,7,3,2,6,4,5]
[4,3,7,5,6,2,1]=>[-1,7,3,2,5,6,4]
[4,3,7,6,5,2,1]=>[-1,7,3,2,6,5,4]
[4,5,1,2,3,6,7]=>[4,5,6,2,3,7,-1]
[4,5,1,2,3,7,6]=>[4,5,6,2,3,-1,7]
[4,5,1,2,6,7,3]=>[4,5,-1,2,3,6,7]
[4,5,1,2,7,3,6]=>[4,5,7,2,3,-1,6]
[4,5,1,2,7,6,3]=>[4,5,-1,2,3,7,6]
[4,5,1,3,2,6,7]=>[4,6,5,2,3,7,-1]
[4,5,1,3,6,7,2]=>[4,-1,5,2,3,6,7]
[4,5,1,3,7,2,6]=>[4,7,5,2,3,-1,6]
[4,5,1,3,7,6,2]=>[4,-1,5,2,3,7,6]
[4,5,1,6,2,3,7]=>[4,6,7,2,3,5,-1]
[4,5,1,6,2,7,3]=>[4,6,-1,2,3,5,7]
[4,5,1,6,7,2,3]=>[4,7,-1,2,3,5,6]
[4,5,1,7,2,3,6]=>[4,6,7,2,3,-1,5]
[4,5,2,1,3,6,7]=>[5,4,6,2,3,7,-1]
[4,5,2,1,6,7,3]=>[5,4,-1,2,3,6,7]
[4,5,2,3,1,6,7]=>[6,4,5,2,3,7,-1]
[4,5,2,3,6,1,7]=>[7,4,5,2,3,6,-1]
[4,5,2,3,6,7,1]=>[-1,4,5,2,3,6,7]
[4,5,2,3,7,1,6]=>[7,4,5,2,3,-1,6]
[4,5,2,6,3,7,1]=>[-1,4,6,2,3,5,7]
[4,5,2,6,7,1,3]=>[7,4,-1,2,3,5,6]
[4,5,2,7,1,3,6]=>[6,4,7,2,3,-1,5]
[4,5,2,7,1,6,3]=>[6,4,-1,2,3,7,5]
[4,5,2,7,3,1,6]=>[7,4,6,2,3,-1,5]
[4,5,2,7,6,1,3]=>[7,4,-1,2,3,6,5]
[4,5,3,1,2,6,7]=>[5,6,4,2,3,7,-1]
[4,5,3,2,1,6,7]=>[6,5,4,2,3,7,-1]
[4,5,3,2,6,1,7]=>[7,5,4,2,3,6,-1]
[4,5,3,2,6,7,1]=>[-1,5,4,2,3,6,7]
[4,5,3,2,7,6,1]=>[-1,5,4,2,3,7,6]
[4,5,3,6,1,2,7]=>[6,7,4,2,3,5,-1]
[4,5,3,6,2,1,7]=>[7,6,4,2,3,5,-1]
[4,5,3,6,2,7,1]=>[-1,6,4,2,3,5,7]
[4,5,3,6,7,1,2]=>[7,-1,4,2,3,5,6]
[4,5,3,6,7,2,1]=>[-1,7,4,2,3,5,6]
[4,5,3,7,1,6,2]=>[6,-1,4,2,3,7,5]
[4,5,3,7,2,1,6]=>[7,6,4,2,3,-1,5]
[4,5,3,7,6,2,1]=>[-1,7,4,2,3,6,5]
[4,5,6,1,2,3,7]=>[5,6,7,2,3,4,-1]
[4,5,6,1,2,7,3]=>[5,6,-1,2,3,4,7]
[4,5,6,1,3,7,2]=>[5,-1,6,2,3,4,7]
[4,5,6,1,7,2,3]=>[5,7,-1,2,3,4,6]
[4,5,6,1,7,3,2]=>[5,-1,7,2,3,4,6]
[4,5,6,2,1,3,7]=>[6,5,7,2,3,4,-1]
[4,5,6,2,1,7,3]=>[6,5,-1,2,3,4,7]
[4,5,6,2,3,1,7]=>[7,5,6,2,3,4,-1]
[4,5,6,2,3,7,1]=>[-1,5,6,2,3,4,7]
[4,5,6,3,1,2,7]=>[6,7,5,2,3,4,-1]
[4,5,6,3,1,7,2]=>[6,-1,5,2,3,4,7]
[4,5,6,3,2,1,7]=>[7,6,5,2,3,4,-1]
[4,5,6,3,2,7,1]=>[-1,6,5,2,3,4,7]
[4,5,6,3,7,1,2]=>[7,-1,5,2,3,4,6]
[4,5,6,3,7,2,1]=>[-1,7,5,2,3,4,6]
[4,5,6,7,1,2,3]=>[6,7,-1,2,3,4,5]
[4,5,6,7,1,3,2]=>[6,-1,7,2,3,4,5]
[4,5,6,7,2,1,3]=>[7,6,-1,2,3,4,5]
[4,5,6,7,3,1,2]=>[7,-1,6,2,3,4,5]
[4,5,6,7,3,2,1]=>[-1,7,6,2,3,4,5]
[4,5,7,1,2,3,6]=>[5,6,7,2,3,-1,4]
[4,5,7,1,2,6,3]=>[5,6,-1,2,3,7,4]
[4,5,7,1,6,3,2]=>[5,-1,7,2,3,6,4]
[4,5,7,2,1,6,3]=>[6,5,-1,2,3,7,4]
[4,5,7,2,6,1,3]=>[7,5,-1,2,3,6,4]
[4,5,7,3,1,6,2]=>[6,-1,5,2,3,7,4]
[4,5,7,3,2,1,6]=>[7,6,5,2,3,-1,4]
[4,5,7,3,2,6,1]=>[-1,6,5,2,3,7,4]
[4,5,7,3,6,2,1]=>[-1,7,5,2,3,6,4]
[4,5,7,6,2,1,3]=>[7,6,-1,2,3,5,4]
[4,5,7,6,3,2,1]=>[-1,7,6,2,3,5,4]
[4,6,1,2,3,5,7]=>[4,5,6,2,7,3,-1]
[4,6,1,2,3,7,5]=>[4,5,6,2,-1,3,7]
[4,6,1,2,7,3,5]=>[4,5,7,2,-1,3,6]
[4,6,1,3,5,2,7]=>[4,7,5,2,6,3,-1]
[4,6,1,3,5,7,2]=>[4,-1,5,2,6,3,7]
[4,6,1,3,7,2,5]=>[4,7,5,2,-1,3,6]
[4,6,1,5,7,2,3]=>[4,7,-1,2,5,3,6]
[4,6,1,7,2,3,5]=>[4,6,7,2,-1,3,5]
[4,6,2,1,7,5,3]=>[5,4,-1,2,7,3,6]
[4,6,2,3,1,7,5]=>[6,4,5,2,-1,3,7]
[4,6,2,3,7,1,5]=>[7,4,5,2,-1,3,6]
[4,6,2,3,7,5,1]=>[-1,4,5,2,7,3,6]
[4,6,2,7,1,3,5]=>[6,4,7,2,-1,3,5]
[4,6,2,7,3,5,1]=>[-1,4,6,2,7,3,5]
[4,6,2,7,5,1,3]=>[7,4,-1,2,6,3,5]
[4,6,3,1,5,2,7]=>[5,7,4,2,6,3,-1]
[4,6,3,1,7,2,5]=>[5,7,4,2,-1,3,6]
[4,6,3,1,7,5,2]=>[5,-1,4,2,7,3,6]
[4,6,3,2,1,5,7]=>[6,5,4,2,7,3,-1]
[4,6,3,2,7,1,5]=>[7,5,4,2,-1,3,6]
[4,6,3,7,1,5,2]=>[6,-1,4,2,7,3,5]
[4,6,3,7,5,1,2]=>[7,-1,4,2,6,3,5]
[4,6,5,2,7,1,3]=>[7,5,-1,2,4,3,6]
[4,6,5,2,7,3,1]=>[-1,5,7,2,4,3,6]
[4,6,5,3,2,1,7]=>[7,6,5,2,4,3,-1]
[4,6,5,3,2,7,1]=>[-1,6,5,2,4,3,7]
[4,6,5,3,7,2,1]=>[-1,7,5,2,4,3,6]
[4,6,5,7,1,2,3]=>[6,7,-1,2,4,3,5]
[4,6,5,7,2,3,1]=>[-1,6,7,2,4,3,5]
[4,6,5,7,3,2,1]=>[-1,7,6,2,4,3,5]
[4,6,7,1,2,3,5]=>[5,6,7,2,-1,3,4]
[4,6,7,1,5,2,3]=>[5,7,-1,2,6,3,4]
[4,6,7,3,1,5,2]=>[6,-1,5,2,7,3,4]
[4,6,7,3,2,1,5]=>[7,6,5,2,-1,3,4]
[4,6,7,3,2,5,1]=>[-1,6,5,2,7,3,4]
[4,6,7,3,5,1,2]=>[7,-1,5,2,6,3,4]
[4,6,7,5,2,1,3]=>[7,6,-1,2,5,3,4]
[4,6,7,5,3,2,1]=>[-1,7,6,2,5,3,4]
[4,7,1,2,3,5,6]=>[4,5,6,2,7,-1,3]
[4,7,1,2,5,6,3]=>[4,5,-1,2,6,7,3]
[4,7,1,2,6,3,5]=>[4,5,7,2,-1,6,3]
[4,7,1,3,5,6,2]=>[4,-1,5,2,6,7,3]
[4,7,1,5,2,3,6]=>[4,6,7,2,5,-1,3]
[4,7,1,5,6,3,2]=>[4,-1,7,2,5,6,3]
[4,7,1,6,2,5,3]=>[4,6,-1,2,7,5,3]
[4,7,1,6,3,2,5]=>[4,7,6,2,-1,5,3]
[4,7,2,1,3,5,6]=>[5,4,6,2,7,-1,3]
[4,7,2,1,5,3,6]=>[5,4,7,2,6,-1,3]
[4,7,2,1,5,6,3]=>[5,4,-1,2,6,7,3]
[4,7,2,1,6,3,5]=>[5,4,7,2,-1,6,3]
[4,7,2,3,1,5,6]=>[6,4,5,2,7,-1,3]
[4,7,2,3,1,6,5]=>[6,4,5,2,-1,7,3]
[4,7,2,3,5,1,6]=>[7,4,5,2,6,-1,3]
[4,7,2,3,5,6,1]=>[-1,4,5,2,6,7,3]
[4,7,2,5,1,3,6]=>[6,4,7,2,5,-1,3]
[4,7,2,5,3,1,6]=>[7,4,6,2,5,-1,3]
[4,7,2,5,3,6,1]=>[-1,4,6,2,5,7,3]
[4,7,2,5,6,1,3]=>[7,4,-1,2,5,6,3]
[4,7,2,5,6,3,1]=>[-1,4,7,2,5,6,3]
[4,7,2,6,1,3,5]=>[6,4,7,2,-1,5,3]
[4,7,2,6,3,5,1]=>[-1,4,6,2,7,5,3]
[4,7,3,1,5,6,2]=>[5,-1,4,2,6,7,3]
[4,7,3,1,6,2,5]=>[5,7,4,2,-1,6,3]
[4,7,3,2,1,6,5]=>[6,5,4,2,-1,7,3]
[4,7,3,2,5,1,6]=>[7,5,4,2,6,-1,3]
[4,7,3,5,1,6,2]=>[6,-1,4,2,5,7,3]
[4,7,3,5,2,1,6]=>[7,6,4,2,5,-1,3]
[4,7,5,1,3,6,2]=>[5,-1,6,2,4,7,3]
[4,7,5,3,1,2,6]=>[6,7,5,2,4,-1,3]
[4,7,5,3,1,6,2]=>[6,-1,5,2,4,7,3]
[4,7,5,6,1,2,3]=>[6,7,-1,2,4,5,3]
[4,7,6,1,2,5,3]=>[5,6,-1,2,7,4,3]
[4,7,6,1,5,3,2]=>[5,-1,7,2,6,4,3]
[4,7,6,2,1,3,5]=>[6,5,7,2,-1,4,3]
[4,7,6,2,5,1,3]=>[7,5,-1,2,6,4,3]
[4,7,6,3,1,5,2]=>[6,-1,5,2,7,4,3]
[4,7,6,3,2,1,5]=>[7,6,5,2,-1,4,3]
[4,7,6,5,3,2,1]=>[-1,7,6,2,5,4,3]
[5,1,2,3,4,6,7]=>[3,4,5,6,2,7,-1]
[5,1,2,3,4,7,6]=>[3,4,5,6,2,-1,7]
[5,1,2,3,6,4,7]=>[3,4,5,7,2,6,-1]
[5,1,2,3,6,7,4]=>[3,4,5,-1,2,6,7]
[5,1,2,3,7,4,6]=>[3,4,5,7,2,-1,6]
[5,1,2,3,7,6,4]=>[3,4,5,-1,2,7,6]
[5,1,2,6,3,4,7]=>[3,4,6,7,2,5,-1]
[5,1,2,6,3,7,4]=>[3,4,6,-1,2,5,7]
[5,1,2,6,4,7,3]=>[3,4,-1,6,2,5,7]
[5,1,2,6,7,3,4]=>[3,4,7,-1,2,5,6]
[5,1,2,6,7,4,3]=>[3,4,-1,7,2,5,6]
[5,1,2,7,3,4,6]=>[3,4,6,7,2,-1,5]
[5,1,2,7,3,6,4]=>[3,4,6,-1,2,7,5]
[5,1,2,7,4,3,6]=>[3,4,7,6,2,-1,5]
[5,1,2,7,4,6,3]=>[3,4,-1,6,2,7,5]
[5,1,2,7,6,3,4]=>[3,4,7,-1,2,6,5]
[5,1,2,7,6,4,3]=>[3,4,-1,7,2,6,5]
[5,1,3,4,2,6,7]=>[3,6,4,5,2,7,-1]
[5,1,3,4,7,6,2]=>[3,-1,4,5,2,7,6]
[5,1,3,6,4,7,2]=>[3,-1,4,6,2,5,7]
[5,1,3,6,7,4,2]=>[3,-1,4,7,2,5,6]
[5,1,3,7,2,4,6]=>[3,6,4,7,2,-1,5]
[5,1,3,7,2,6,4]=>[3,6,4,-1,2,7,5]
[5,1,3,7,4,2,6]=>[3,7,4,6,2,-1,5]
[5,1,3,7,4,6,2]=>[3,-1,4,6,2,7,5]
[5,1,3,7,6,4,2]=>[3,-1,4,7,2,6,5]
[5,1,4,2,6,7,3]=>[3,5,-1,4,2,6,7]
[5,1,4,2,7,3,6]=>[3,5,7,4,2,-1,6]
[5,1,4,2,7,6,3]=>[3,5,-1,4,2,7,6]
[5,1,4,6,2,7,3]=>[3,6,-1,4,2,5,7]
[5,1,6,2,3,4,7]=>[3,5,6,7,2,4,-1]
[5,1,6,2,3,7,4]=>[3,5,6,-1,2,4,7]
[5,1,6,2,7,3,4]=>[3,5,7,-1,2,4,6]
[5,1,6,2,7,4,3]=>[3,5,-1,7,2,4,6]
[5,1,6,3,2,7,4]=>[3,6,5,-1,2,4,7]
[5,1,6,3,4,7,2]=>[3,-1,5,6,2,4,7]
[5,1,6,3,7,2,4]=>[3,7,5,-1,2,4,6]
[5,1,6,3,7,4,2]=>[3,-1,5,7,2,4,6]
[5,1,6,4,7,3,2]=>[3,-1,7,5,2,4,6]
[5,1,6,7,2,3,4]=>[3,6,7,-1,2,4,5]
[5,1,6,7,3,2,4]=>[3,7,6,-1,2,4,5]
[5,1,6,7,4,3,2]=>[3,-1,7,6,2,4,5]
[5,1,7,2,3,4,6]=>[3,5,6,7,2,-1,4]
[5,1,7,2,3,6,4]=>[3,5,6,-1,2,7,4]
[5,1,7,2,6,3,4]=>[3,5,7,-1,2,6,4]
[5,1,7,3,2,4,6]=>[3,6,5,7,2,-1,4]
[5,1,7,3,4,2,6]=>[3,7,5,6,2,-1,4]
[5,1,7,3,4,6,2]=>[3,-1,5,6,2,7,4]
[5,1,7,3,6,4,2]=>[3,-1,5,7,2,6,4]
[5,1,7,4,2,6,3]=>[3,6,-1,5,2,7,4]
[5,1,7,4,3,6,2]=>[3,-1,6,5,2,7,4]
[5,1,7,6,4,3,2]=>[3,-1,7,6,2,5,4]
[5,2,1,3,4,6,7]=>[4,3,5,6,2,7,-1]
[5,2,1,3,6,7,4]=>[4,3,5,-1,2,6,7]
[5,2,1,3,7,4,6]=>[4,3,5,7,2,-1,6]
[5,2,1,3,7,6,4]=>[4,3,5,-1,2,7,6]
[5,2,1,4,3,6,7]=>[4,3,6,5,2,7,-1]
[5,2,1,6,3,7,4]=>[4,3,6,-1,2,5,7]
[5,2,1,6,4,3,7]=>[4,3,7,6,2,5,-1]
[5,2,1,6,7,3,4]=>[4,3,7,-1,2,5,6]
[5,2,1,6,7,4,3]=>[4,3,-1,7,2,5,6]
[5,2,1,7,3,4,6]=>[4,3,6,7,2,-1,5]
[5,2,1,7,3,6,4]=>[4,3,6,-1,2,7,5]
[5,2,1,7,4,3,6]=>[4,3,7,6,2,-1,5]
[5,2,1,7,4,6,3]=>[4,3,-1,6,2,7,5]
[5,2,1,7,6,3,4]=>[4,3,7,-1,2,6,5]
[5,2,1,7,6,4,3]=>[4,3,-1,7,2,6,5]
[5,2,3,1,4,6,7]=>[5,3,4,6,2,7,-1]
[5,2,3,1,4,7,6]=>[5,3,4,6,2,-1,7]
[5,2,3,1,6,7,4]=>[5,3,4,-1,2,6,7]
[5,2,3,1,7,4,6]=>[5,3,4,7,2,-1,6]
[5,2,3,4,1,6,7]=>[6,3,4,5,2,7,-1]
[5,2,3,4,6,1,7]=>[7,3,4,5,2,6,-1]
[5,2,3,4,6,7,1]=>[-1,3,4,5,2,6,7]
[5,2,3,4,7,1,6]=>[7,3,4,5,2,-1,6]
[5,2,3,4,7,6,1]=>[-1,3,4,5,2,7,6]
[5,2,3,6,1,4,7]=>[6,3,4,7,2,5,-1]
[5,2,3,6,1,7,4]=>[6,3,4,-1,2,5,7]
[5,2,3,6,7,1,4]=>[7,3,4,-1,2,5,6]
[5,2,3,6,7,4,1]=>[-1,3,4,7,2,5,6]
[5,2,3,7,1,4,6]=>[6,3,4,7,2,-1,5]
[5,2,3,7,1,6,4]=>[6,3,4,-1,2,7,5]
[5,2,3,7,4,1,6]=>[7,3,4,6,2,-1,5]
[5,2,3,7,4,6,1]=>[-1,3,4,6,2,7,5]
[5,2,3,7,6,4,1]=>[-1,3,4,7,2,6,5]
[5,2,4,3,6,7,1]=>[-1,3,5,4,2,6,7]
[5,2,4,3,7,6,1]=>[-1,3,5,4,2,7,6]
[5,2,4,6,3,7,1]=>[-1,3,6,4,2,5,7]
[5,2,4,7,3,1,6]=>[7,3,6,4,2,-1,5]
[5,2,4,7,6,3,1]=>[-1,3,7,4,2,6,5]
[5,2,6,1,4,3,7]=>[5,3,7,6,2,4,-1]
[5,2,6,1,4,7,3]=>[5,3,-1,6,2,4,7]
[5,2,6,3,4,7,1]=>[-1,3,5,6,2,4,7]
[5,2,6,3,7,1,4]=>[7,3,5,-1,2,4,6]
[5,2,6,4,1,3,7]=>[6,3,7,5,2,4,-1]
[5,2,6,4,7,1,3]=>[7,3,-1,5,2,4,6]
[5,2,6,7,1,3,4]=>[6,3,7,-1,2,4,5]
[5,2,6,7,3,1,4]=>[7,3,6,-1,2,4,5]
[5,2,6,7,3,4,1]=>[-1,3,6,7,2,4,5]
[5,2,6,7,4,1,3]=>[7,3,-1,6,2,4,5]
[5,2,6,7,4,3,1]=>[-1,3,7,6,2,4,5]
[5,2,7,1,3,4,6]=>[5,3,6,7,2,-1,4]
[5,2,7,1,4,6,3]=>[5,3,-1,6,2,7,4]
[5,2,7,1,6,3,4]=>[5,3,7,-1,2,6,4]
[5,2,7,3,1,4,6]=>[6,3,5,7,2,-1,4]
[5,2,7,3,1,6,4]=>[6,3,5,-1,2,7,4]
[5,2,7,3,4,1,6]=>[7,3,5,6,2,-1,4]
[5,2,7,3,4,6,1]=>[-1,3,5,6,2,7,4]
[5,2,7,3,6,4,1]=>[-1,3,5,7,2,6,4]
[5,2,7,4,1,6,3]=>[6,3,-1,5,2,7,4]
[5,2,7,4,3,1,6]=>[7,3,6,5,2,-1,4]
[5,2,7,6,1,4,3]=>[6,3,-1,7,2,5,4]
[5,2,7,6,3,4,1]=>[-1,3,6,7,2,5,4]
[5,2,7,6,4,1,3]=>[7,3,-1,6,2,5,4]
[5,3,1,2,4,6,7]=>[4,5,3,6,2,7,-1]
[5,3,1,2,6,7,4]=>[4,5,3,-1,2,6,7]
[5,3,1,2,7,4,6]=>[4,5,3,7,2,-1,6]
[5,3,1,2,7,6,4]=>[4,5,3,-1,2,7,6]
[5,3,1,4,7,6,2]=>[4,-1,3,5,2,7,6]
[5,3,1,6,2,7,4]=>[4,6,3,-1,2,5,7]
[5,3,1,6,4,7,2]=>[4,-1,3,6,2,5,7]
[5,3,1,6,7,4,2]=>[4,-1,3,7,2,5,6]
[5,3,1,7,2,4,6]=>[4,6,3,7,2,-1,5]
[5,3,1,7,2,6,4]=>[4,6,3,-1,2,7,5]
[5,3,1,7,4,2,6]=>[4,7,3,6,2,-1,5]
[5,3,1,7,6,2,4]=>[4,7,3,-1,2,6,5]
[5,3,1,7,6,4,2]=>[4,-1,3,7,2,6,5]
[5,3,2,1,4,6,7]=>[5,4,3,6,2,7,-1]
[5,3,2,1,4,7,6]=>[5,4,3,6,2,-1,7]
[5,3,2,1,7,4,6]=>[5,4,3,7,2,-1,6]
[5,3,2,1,7,6,4]=>[5,4,3,-1,2,7,6]
[5,3,2,4,1,6,7]=>[6,4,3,5,2,7,-1]
[5,3,2,4,6,1,7]=>[7,4,3,5,2,6,-1]
[5,3,2,4,6,7,1]=>[-1,4,3,5,2,6,7]
[5,3,2,4,7,6,1]=>[-1,4,3,5,2,7,6]
[5,3,2,6,1,4,7]=>[6,4,3,7,2,5,-1]
[5,3,2,6,4,1,7]=>[7,4,3,6,2,5,-1]
[5,3,2,7,1,6,4]=>[6,4,3,-1,2,7,5]
[5,3,4,1,2,6,7]=>[5,6,3,4,2,7,-1]
[5,3,4,1,6,7,2]=>[5,-1,3,4,2,6,7]
[5,3,4,1,7,2,6]=>[5,7,3,4,2,-1,6]
[5,3,4,2,1,6,7]=>[6,5,3,4,2,7,-1]
[5,3,4,2,6,1,7]=>[7,5,3,4,2,6,-1]
[5,3,4,2,6,7,1]=>[-1,5,3,4,2,6,7]
[5,3,4,2,7,6,1]=>[-1,5,3,4,2,7,6]
[5,3,4,6,1,2,7]=>[6,7,3,4,2,5,-1]
[5,3,4,6,2,1,7]=>[7,6,3,4,2,5,-1]
[5,3,4,6,2,7,1]=>[-1,6,3,4,2,5,7]
[5,3,4,7,1,2,6]=>[6,7,3,4,2,-1,5]
[5,3,4,7,2,6,1]=>[-1,6,3,4,2,7,5]
[5,3,6,1,2,7,4]=>[5,6,3,-1,2,4,7]
[5,3,6,1,4,7,2]=>[5,-1,3,6,2,4,7]
[5,3,6,2,1,4,7]=>[6,5,3,7,2,4,-1]
[5,3,6,2,4,1,7]=>[7,5,3,6,2,4,-1]
[5,3,6,2,4,7,1]=>[-1,5,3,6,2,4,7]
[5,3,6,2,7,1,4]=>[7,5,3,-1,2,4,6]
[5,3,6,7,1,4,2]=>[6,-1,3,7,2,4,5]
[5,3,6,7,2,1,4]=>[7,6,3,-1,2,4,5]
[5,3,6,7,2,4,1]=>[-1,6,3,7,2,4,5]
[5,3,7,1,2,4,6]=>[5,6,3,7,2,-1,4]
[5,3,7,1,6,2,4]=>[5,7,3,-1,2,6,4]
[5,3,7,1,6,4,2]=>[5,-1,3,7,2,6,4]
[5,3,7,2,1,4,6]=>[6,5,3,7,2,-1,4]
[5,3,7,4,1,2,6]=>[6,7,3,5,2,-1,4]
[5,3,7,4,2,1,6]=>[7,6,3,5,2,-1,4]
[5,3,7,6,4,1,2]=>[7,-1,3,6,2,5,4]
[5,3,7,6,4,2,1]=>[-1,7,3,6,2,5,4]
[5,4,1,2,3,6,7]=>[4,5,6,3,2,7,-1]
[5,4,1,2,6,7,3]=>[4,5,-1,3,2,6,7]
[5,4,1,2,7,3,6]=>[4,5,7,3,2,-1,6]
[5,4,1,2,7,6,3]=>[4,5,-1,3,2,7,6]
[5,4,1,6,2,7,3]=>[4,6,-1,3,2,5,7]
[5,4,1,6,7,3,2]=>[4,-1,7,3,2,5,6]
[5,4,1,7,2,3,6]=>[4,6,7,3,2,-1,5]
[5,4,1,7,6,2,3]=>[4,7,-1,3,2,6,5]
[5,4,1,7,6,3,2]=>[4,-1,7,3,2,6,5]
[5,4,2,1,3,6,7]=>[5,4,6,3,2,7,-1]
[5,4,2,1,3,7,6]=>[5,4,6,3,2,-1,7]
[5,4,2,1,6,7,3]=>[5,4,-1,3,2,6,7]
[5,4,2,1,7,3,6]=>[5,4,7,3,2,-1,6]
[5,4,2,1,7,6,3]=>[5,4,-1,3,2,7,6]
[5,4,2,3,1,6,7]=>[6,4,5,3,2,7,-1]
[5,4,2,3,6,1,7]=>[7,4,5,3,2,6,-1]
[5,4,2,6,1,3,7]=>[6,4,7,3,2,5,-1]
[5,4,2,6,1,7,3]=>[6,4,-1,3,2,5,7]
[5,4,2,6,7,1,3]=>[7,4,-1,3,2,5,6]
[5,4,2,7,3,1,6]=>[7,4,6,3,2,-1,5]
[5,4,3,1,2,6,7]=>[5,6,4,3,2,7,-1]
[5,4,3,1,7,2,6]=>[5,7,4,3,2,-1,6]
[5,4,3,1,7,6,2]=>[5,-1,4,3,2,7,6]
[5,4,3,2,1,6,7]=>[6,5,4,3,2,7,-1]
[5,4,3,2,1,7,6]=>[6,5,4,3,2,-1,7]
[5,4,3,2,6,1,7]=>[7,5,4,3,2,6,-1]
[5,4,3,2,6,7,1]=>[-1,5,4,3,2,6,7]
[5,4,3,2,7,1,6]=>[7,5,4,3,2,-1,6]
[5,4,3,2,7,6,1]=>[-1,5,4,3,2,7,6]
[5,4,3,6,1,2,7]=>[6,7,4,3,2,5,-1]
[5,4,3,6,1,7,2]=>[6,-1,4,3,2,5,7]
[5,4,3,6,2,1,7]=>[7,6,4,3,2,5,-1]
[5,4,3,6,2,7,1]=>[-1,6,4,3,2,5,7]
[5,4,3,6,7,2,1]=>[-1,7,4,3,2,5,6]
[5,4,3,7,6,2,1]=>[-1,7,4,3,2,6,5]
[5,4,6,1,2,3,7]=>[5,6,7,3,2,4,-1]
[5,4,6,1,7,3,2]=>[5,-1,7,3,2,4,6]
[5,4,6,2,1,3,7]=>[6,5,7,3,2,4,-1]
[5,4,6,2,3,1,7]=>[7,5,6,3,2,4,-1]
[5,4,6,2,7,1,3]=>[7,5,-1,3,2,4,6]
[5,4,6,3,1,2,7]=>[6,7,5,3,2,4,-1]
[5,4,6,3,1,7,2]=>[6,-1,5,3,2,4,7]
[5,4,6,3,2,1,7]=>[7,6,5,3,2,4,-1]
[5,4,6,3,2,7,1]=>[-1,6,5,3,2,4,7]
[5,4,6,3,7,2,1]=>[-1,7,5,3,2,4,6]
[5,4,6,7,3,2,1]=>[-1,7,6,3,2,4,5]
[5,4,7,1,2,3,6]=>[5,6,7,3,2,-1,4]
[5,4,7,1,2,6,3]=>[5,6,-1,3,2,7,4]
[5,4,7,2,1,3,6]=>[6,5,7,3,2,-1,4]
[5,4,7,6,3,2,1]=>[-1,7,6,3,2,5,4]
[5,6,1,2,3,4,7]=>[4,5,6,7,2,3,-1]
[5,6,1,2,3,7,4]=>[4,5,6,-1,2,3,7]
[5,6,1,2,4,7,3]=>[4,5,-1,6,2,3,7]
[5,6,1,2,7,3,4]=>[4,5,7,-1,2,3,6]
[5,6,1,3,4,7,2]=>[4,-1,5,6,2,3,7]
[5,6,1,4,3,2,7]=>[4,7,6,5,2,3,-1]
[5,6,1,7,2,3,4]=>[4,6,7,-1,2,3,5]
[5,6,2,1,3,4,7]=>[5,4,6,7,2,3,-1]
[5,6,2,3,1,4,7]=>[6,4,5,7,2,3,-1]
[5,6,2,3,4,1,7]=>[7,4,5,6,2,3,-1]
[5,6,2,3,4,7,1]=>[-1,4,5,6,2,3,7]
[5,6,2,3,7,4,1]=>[-1,4,5,7,2,3,6]
[5,6,2,4,7,1,3]=>[7,4,-1,5,2,3,6]
[5,6,2,7,3,1,4]=>[7,4,6,-1,2,3,5]
[5,6,2,7,3,4,1]=>[-1,4,6,7,2,3,5]
[5,6,2,7,4,1,3]=>[7,4,-1,6,2,3,5]
[5,6,2,7,4,3,1]=>[-1,4,7,6,2,3,5]
[5,6,3,1,2,4,7]=>[5,6,4,7,2,3,-1]
[5,6,3,1,4,2,7]=>[5,7,4,6,2,3,-1]
[5,6,3,2,1,4,7]=>[6,5,4,7,2,3,-1]
[5,6,3,2,4,1,7]=>[7,5,4,6,2,3,-1]
[5,6,3,2,4,7,1]=>[-1,5,4,6,2,3,7]
[5,6,3,2,7,1,4]=>[7,5,4,-1,2,3,6]
[5,6,3,4,1,2,7]=>[6,7,4,5,2,3,-1]
[5,6,3,4,2,1,7]=>[7,6,4,5,2,3,-1]
[5,6,3,4,7,1,2]=>[7,-1,4,5,2,3,6]
[5,6,3,7,1,2,4]=>[6,7,4,-1,2,3,5]
[5,6,3,7,2,1,4]=>[7,6,4,-1,2,3,5]
[5,6,3,7,4,1,2]=>[7,-1,4,6,2,3,5]
[5,6,3,7,4,2,1]=>[-1,7,4,6,2,3,5]
[5,6,4,1,2,3,7]=>[5,6,7,4,2,3,-1]
[5,6,4,1,3,7,2]=>[5,-1,6,4,2,3,7]
[5,6,4,2,1,3,7]=>[6,5,7,4,2,3,-1]
[5,6,4,2,3,1,7]=>[7,5,6,4,2,3,-1]
[5,6,4,3,1,2,7]=>[6,7,5,4,2,3,-1]
[5,6,4,3,2,1,7]=>[7,6,5,4,2,3,-1]
[5,6,4,3,2,7,1]=>[-1,6,5,4,2,3,7]
[5,6,4,3,7,2,1]=>[-1,7,5,4,2,3,6]
[5,6,4,7,2,3,1]=>[-1,6,7,4,2,3,5]
[5,6,4,7,3,2,1]=>[-1,7,6,4,2,3,5]
[5,6,7,1,2,3,4]=>[5,6,7,-1,2,3,4]
[5,6,7,1,2,4,3]=>[5,6,-1,7,2,3,4]
[5,6,7,1,3,2,4]=>[5,7,6,-1,2,3,4]
[5,6,7,1,3,4,2]=>[5,-1,6,7,2,3,4]
[5,6,7,1,4,2,3]=>[5,7,-1,6,2,3,4]
[5,6,7,2,3,1,4]=>[7,5,6,-1,2,3,4]
[5,6,7,2,3,4,1]=>[-1,5,6,7,2,3,4]
[5,6,7,2,4,3,1]=>[-1,5,7,6,2,3,4]
[5,6,7,3,1,2,4]=>[6,7,5,-1,2,3,4]
[5,6,7,3,1,4,2]=>[6,-1,5,7,2,3,4]
[5,6,7,3,4,2,1]=>[-1,7,5,6,2,3,4]
[5,6,7,4,1,2,3]=>[6,7,-1,5,2,3,4]
[5,6,7,4,1,3,2]=>[6,-1,7,5,2,3,4]
[5,6,7,4,2,3,1]=>[-1,6,7,5,2,3,4]
[5,6,7,4,3,1,2]=>[7,-1,6,5,2,3,4]
[5,6,7,4,3,2,1]=>[-1,7,6,5,2,3,4]
[5,7,1,2,3,4,6]=>[4,5,6,7,2,-1,3]
[5,7,1,2,3,6,4]=>[4,5,6,-1,2,7,3]
[5,7,1,2,4,3,6]=>[4,5,7,6,2,-1,3]
[5,7,1,2,6,3,4]=>[4,5,7,-1,2,6,3]
[5,7,1,2,6,4,3]=>[4,5,-1,7,2,6,3]
[5,7,1,3,2,4,6]=>[4,6,5,7,2,-1,3]
[5,7,1,3,2,6,4]=>[4,6,5,-1,2,7,3]
[5,7,1,3,6,4,2]=>[4,-1,5,7,2,6,3]
[5,7,1,4,3,6,2]=>[4,-1,6,5,2,7,3]
[5,7,1,6,2,4,3]=>[4,6,-1,7,2,5,3]
[5,7,1,6,4,3,2]=>[4,-1,7,6,2,5,3]
[5,7,2,1,4,3,6]=>[5,4,7,6,2,-1,3]
[5,7,2,3,1,4,6]=>[6,4,5,7,2,-1,3]
[5,7,2,3,4,1,6]=>[7,4,5,6,2,-1,3]
[5,7,2,3,6,1,4]=>[7,4,5,-1,2,6,3]
[5,7,2,4,1,6,3]=>[6,4,-1,5,2,7,3]
[5,7,2,6,1,3,4]=>[6,4,7,-1,2,5,3]
[5,7,2,6,4,1,3]=>[7,4,-1,6,2,5,3]
[5,7,3,1,4,6,2]=>[5,-1,4,6,2,7,3]
[5,7,3,2,1,4,6]=>[6,5,4,7,2,-1,3]
[5,7,3,2,1,6,4]=>[6,5,4,-1,2,7,3]
[5,7,3,2,4,1,6]=>[7,5,4,6,2,-1,3]
[5,7,3,4,1,6,2]=>[6,-1,4,5,2,7,3]
[5,7,3,4,2,1,6]=>[7,6,4,5,2,-1,3]
[5,7,3,6,1,4,2]=>[6,-1,4,7,2,5,3]
[5,7,3,6,2,1,4]=>[7,6,4,-1,2,5,3]
[5,7,4,1,2,6,3]=>[5,6,-1,4,2,7,3]
[5,7,4,1,3,6,2]=>[5,-1,6,4,2,7,3]
[5,7,4,1,6,3,2]=>[5,-1,7,4,2,6,3]
[5,7,4,2,1,3,6]=>[6,5,7,4,2,-1,3]
[5,7,4,2,6,1,3]=>[7,5,-1,4,2,6,3]
[5,7,4,3,1,6,2]=>[6,-1,5,4,2,7,3]
[5,7,4,3,2,1,6]=>[7,6,5,4,2,-1,3]
[5,7,6,2,3,1,4]=>[7,5,6,-1,2,4,3]
[5,7,6,3,4,1,2]=>[7,-1,5,6,2,4,3]
[5,7,6,4,1,3,2]=>[6,-1,7,5,2,4,3]
[5,7,6,4,3,2,1]=>[-1,7,6,5,2,4,3]
[6,1,2,3,4,5,7]=>[3,4,5,6,7,2,-1]
[6,1,2,3,4,7,5]=>[3,4,5,6,-1,2,7]
[6,1,2,3,7,4,5]=>[3,4,5,7,-1,2,6]
[6,1,2,3,7,5,4]=>[3,4,5,-1,7,2,6]
[6,1,2,4,7,5,3]=>[3,4,-1,5,7,2,6]
[6,1,2,5,3,7,4]=>[3,4,6,-1,5,2,7]
[6,1,2,7,3,4,5]=>[3,4,6,7,-1,2,5]
[6,1,2,7,3,5,4]=>[3,4,6,-1,7,2,5]
[6,1,2,7,4,3,5]=>[3,4,7,6,-1,2,5]
[6,1,2,7,4,5,3]=>[3,4,-1,6,7,2,5]
[6,1,2,7,5,3,4]=>[3,4,7,-1,6,2,5]
[6,1,2,7,5,4,3]=>[3,4,-1,7,6,2,5]
[6,1,3,2,7,5,4]=>[3,5,4,-1,7,2,6]
[6,1,3,4,2,7,5]=>[3,6,4,5,-1,2,7]
[6,1,3,4,5,2,7]=>[3,7,4,5,6,2,-1]
[6,1,3,4,5,7,2]=>[3,-1,4,5,6,2,7]
[6,1,3,4,7,2,5]=>[3,7,4,5,-1,2,6]
[6,1,3,4,7,5,2]=>[3,-1,4,5,7,2,6]
[6,1,3,5,7,2,4]=>[3,7,4,-1,5,2,6]
[6,1,3,7,2,4,5]=>[3,6,4,7,-1,2,5]
[6,1,3,7,2,5,4]=>[3,6,4,-1,7,2,5]
[6,1,3,7,4,2,5]=>[3,7,4,6,-1,2,5]
[6,1,3,7,4,5,2]=>[3,-1,4,6,7,2,5]
[6,1,3,7,5,4,2]=>[3,-1,4,7,6,2,5]
[6,1,4,2,3,7,5]=>[3,5,6,4,-1,2,7]
[6,1,4,2,5,7,3]=>[3,5,-1,4,6,2,7]
[6,1,4,2,7,5,3]=>[3,5,-1,4,7,2,6]
[6,1,4,3,2,7,5]=>[3,6,5,4,-1,2,7]
[6,1,4,3,7,5,2]=>[3,-1,5,4,7,2,6]
[6,1,4,5,2,7,3]=>[3,6,-1,4,5,2,7]
[6,1,4,7,2,3,5]=>[3,6,7,4,-1,2,5]
[6,1,4,7,2,5,3]=>[3,6,-1,4,7,2,5]
[6,1,4,7,5,2,3]=>[3,7,-1,4,6,2,5]
[6,1,4,7,5,3,2]=>[3,-1,7,4,6,2,5]
[6,1,5,2,3,7,4]=>[3,5,6,-1,4,2,7]
[6,1,5,2,7,3,4]=>[3,5,7,-1,4,2,6]
[6,1,5,4,7,2,3]=>[3,7,-1,5,4,2,6]
[6,1,5,7,2,3,4]=>[3,6,7,-1,4,2,5]
[6,1,7,2,3,4,5]=>[3,5,6,7,-1,2,4]
[6,1,7,2,3,5,4]=>[3,5,6,-1,7,2,4]
[6,1,7,2,4,3,5]=>[3,5,7,6,-1,2,4]
[6,1,7,2,5,3,4]=>[3,5,7,-1,6,2,4]
[6,1,7,2,5,4,3]=>[3,5,-1,7,6,2,4]
[6,1,7,3,2,4,5]=>[3,6,5,7,-1,2,4]
[6,1,7,3,2,5,4]=>[3,6,5,-1,7,2,4]
[6,1,7,3,4,2,5]=>[3,7,5,6,-1,2,4]
[6,1,7,3,4,5,2]=>[3,-1,5,6,7,2,4]
[6,1,7,3,5,4,2]=>[3,-1,5,7,6,2,4]
[6,1,7,4,5,3,2]=>[3,-1,7,5,6,2,4]
[6,1,7,5,2,3,4]=>[3,6,7,-1,5,2,4]
[6,1,7,5,2,4,3]=>[3,6,-1,7,5,2,4]
[6,1,7,5,4,3,2]=>[3,-1,7,6,5,2,4]
[6,2,1,3,4,5,7]=>[4,3,5,6,7,2,-1]
[6,2,1,3,4,7,5]=>[4,3,5,6,-1,2,7]
[6,2,1,3,7,4,5]=>[4,3,5,7,-1,2,6]
[6,2,1,3,7,5,4]=>[4,3,5,-1,7,2,6]
[6,2,1,4,5,3,7]=>[4,3,7,5,6,2,-1]
[6,2,1,4,7,3,5]=>[4,3,7,5,-1,2,6]
[6,2,1,4,7,5,3]=>[4,3,-1,5,7,2,6]
[6,2,1,5,4,3,7]=>[4,3,7,6,5,2,-1]
[6,2,1,5,7,3,4]=>[4,3,7,-1,5,2,6]
[6,2,1,7,3,4,5]=>[4,3,6,7,-1,2,5]
[6,2,1,7,4,3,5]=>[4,3,7,6,-1,2,5]
[6,2,1,7,4,5,3]=>[4,3,-1,6,7,2,5]
[6,2,1,7,5,4,3]=>[4,3,-1,7,6,2,5]
[6,2,3,1,4,5,7]=>[5,3,4,6,7,2,-1]
[6,2,3,1,4,7,5]=>[5,3,4,6,-1,2,7]
[6,2,3,1,5,4,7]=>[5,3,4,7,6,2,-1]
[6,2,3,1,7,4,5]=>[5,3,4,7,-1,2,6]
[6,2,3,1,7,5,4]=>[5,3,4,-1,7,2,6]
[6,2,3,4,1,5,7]=>[6,3,4,5,7,2,-1]
[6,2,3,4,1,7,5]=>[6,3,4,5,-1,2,7]
[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,-1]
[6,2,3,4,5,7,1]=>[-1,3,4,5,6,2,7]
[6,2,3,4,7,1,5]=>[7,3,4,5,-1,2,6]
[6,2,3,4,7,5,1]=>[-1,3,4,5,7,2,6]
[6,2,3,5,4,7,1]=>[-1,3,4,6,5,2,7]
[6,2,3,5,7,4,1]=>[-1,3,4,7,5,2,6]
[6,2,3,7,1,4,5]=>[6,3,4,7,-1,2,5]
[6,2,3,7,1,5,4]=>[6,3,4,-1,7,2,5]
[6,2,3,7,4,1,5]=>[7,3,4,6,-1,2,5]
[6,2,3,7,4,5,1]=>[-1,3,4,6,7,2,5]
[6,2,3,7,5,1,4]=>[7,3,4,-1,6,2,5]
[6,2,4,1,3,7,5]=>[5,3,6,4,-1,2,7]
[6,2,4,3,5,7,1]=>[-1,3,5,4,6,2,7]
[6,2,4,3,7,1,5]=>[7,3,5,4,-1,2,6]
[6,2,4,5,3,1,7]=>[7,3,6,4,5,2,-1]
[6,2,4,5,3,7,1]=>[-1,3,6,4,5,2,7]
[6,2,4,5,7,1,3]=>[7,3,-1,4,5,2,6]
[6,2,4,5,7,3,1]=>[-1,3,7,4,5,2,6]
[6,2,4,7,1,3,5]=>[6,3,7,4,-1,2,5]
[6,2,4,7,5,1,3]=>[7,3,-1,4,6,2,5]
[6,2,5,1,7,3,4]=>[5,3,7,-1,4,2,6]
[6,2,5,3,1,7,4]=>[6,3,5,-1,4,2,7]
[6,2,5,3,7,1,4]=>[7,3,5,-1,4,2,6]
[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,-1]
[6,2,5,4,3,7,1]=>[-1,3,6,5,4,2,7]
[6,2,5,7,1,3,4]=>[6,3,7,-1,4,2,5]
[6,2,5,7,3,4,1]=>[-1,3,6,7,4,2,5]
[6,2,7,1,3,4,5]=>[5,3,6,7,-1,2,4]
[6,2,7,1,3,5,4]=>[5,3,6,-1,7,2,4]
[6,2,7,1,4,3,5]=>[5,3,7,6,-1,2,4]
[6,2,7,1,5,4,3]=>[5,3,-1,7,6,2,4]
[6,2,7,3,1,4,5]=>[6,3,5,7,-1,2,4]
[6,2,7,3,4,5,1]=>[-1,3,5,6,7,2,4]
[6,2,7,3,5,1,4]=>[7,3,5,-1,6,2,4]
[6,2,7,4,1,5,3]=>[6,3,-1,5,7,2,4]
[6,2,7,4,3,1,5]=>[7,3,6,5,-1,2,4]
[6,2,7,4,5,1,3]=>[7,3,-1,5,6,2,4]
[6,2,7,5,1,3,4]=>[6,3,7,-1,5,2,4]
[6,2,7,5,1,4,3]=>[6,3,-1,7,5,2,4]
[6,2,7,5,4,1,3]=>[7,3,-1,6,5,2,4]
[6,3,1,2,4,5,7]=>[4,5,3,6,7,2,-1]
[6,3,1,2,4,7,5]=>[4,5,3,6,-1,2,7]
[6,3,1,2,7,4,5]=>[4,5,3,7,-1,2,6]
[6,3,1,2,7,5,4]=>[4,5,3,-1,7,2,6]
[6,3,1,4,2,7,5]=>[4,6,3,5,-1,2,7]
[6,3,1,5,2,7,4]=>[4,6,3,-1,5,2,7]
[6,3,1,5,4,7,2]=>[4,-1,3,6,5,2,7]
[6,3,1,5,7,2,4]=>[4,7,3,-1,5,2,6]
[6,3,1,5,7,4,2]=>[4,-1,3,7,5,2,6]
[6,3,1,7,2,4,5]=>[4,6,3,7,-1,2,5]
[6,3,1,7,4,5,2]=>[4,-1,3,6,7,2,5]
[6,3,1,7,5,4,2]=>[4,-1,3,7,6,2,5]
[6,3,2,1,4,5,7]=>[5,4,3,6,7,2,-1]
[6,3,2,1,4,7,5]=>[5,4,3,6,-1,2,7]
[6,3,2,1,7,4,5]=>[5,4,3,7,-1,2,6]
[6,3,2,4,1,5,7]=>[6,4,3,5,7,2,-1]
[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,-1]
[6,3,2,4,5,7,1]=>[-1,4,3,5,6,2,7]
[6,3,2,4,7,1,5]=>[7,4,3,5,-1,2,6]
[6,3,2,5,1,4,7]=>[6,4,3,7,5,2,-1]
[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,-1]
[6,3,2,5,4,7,1]=>[-1,4,3,6,5,2,7]
[6,3,2,7,5,1,4]=>[7,4,3,-1,6,2,5]
[6,3,4,1,2,5,7]=>[5,6,3,4,7,2,-1]
[6,3,4,1,2,7,5]=>[5,6,3,4,-1,2,7]
[6,3,4,1,7,2,5]=>[5,7,3,4,-1,2,6]
[6,3,4,1,7,5,2]=>[5,-1,3,4,7,2,6]
[6,3,4,2,1,5,7]=>[6,5,3,4,7,2,-1]
[6,3,4,2,5,1,7]=>[7,5,3,4,6,2,-1]
[6,3,4,2,5,7,1]=>[-1,5,3,4,6,2,7]
[6,3,4,5,1,2,7]=>[6,7,3,4,5,2,-1]
[6,3,4,5,1,7,2]=>[6,-1,3,4,5,2,7]
[6,3,4,5,2,1,7]=>[7,6,3,4,5,2,-1]
[6,3,4,5,2,7,1]=>[-1,6,3,4,5,2,7]
[6,3,4,5,7,1,2]=>[7,-1,3,4,5,2,6]
[6,3,4,5,7,2,1]=>[-1,7,3,4,5,2,6]
[6,3,4,7,1,5,2]=>[6,-1,3,4,7,2,5]
[6,3,4,7,2,1,5]=>[7,6,3,4,-1,2,5]
[6,3,4,7,2,5,1]=>[-1,6,3,4,7,2,5]
[6,3,4,7,5,1,2]=>[7,-1,3,4,6,2,5]
[6,3,4,7,5,2,1]=>[-1,7,3,4,6,2,5]
[6,3,5,1,2,7,4]=>[5,6,3,-1,4,2,7]
[6,3,5,1,7,2,4]=>[5,7,3,-1,4,2,6]
[6,3,5,4,2,1,7]=>[7,6,3,5,4,2,-1]
[6,3,5,4,2,7,1]=>[-1,6,3,5,4,2,7]
[6,3,5,7,1,2,4]=>[6,7,3,-1,4,2,5]
[6,3,5,7,4,1,2]=>[7,-1,3,6,4,2,5]
[6,3,5,7,4,2,1]=>[-1,7,3,6,4,2,5]
[6,3,7,1,2,4,5]=>[5,6,3,7,-1,2,4]
[6,3,7,1,2,5,4]=>[5,6,3,-1,7,2,4]
[6,3,7,1,4,2,5]=>[5,7,3,6,-1,2,4]
[6,3,7,1,4,5,2]=>[5,-1,3,6,7,2,4]
[6,3,7,1,5,4,2]=>[5,-1,3,7,6,2,4]
[6,3,7,2,1,4,5]=>[6,5,3,7,-1,2,4]
[6,3,7,2,4,1,5]=>[7,5,3,6,-1,2,4]
[6,3,7,2,4,5,1]=>[-1,5,3,6,7,2,4]
[6,3,7,4,5,1,2]=>[7,-1,3,5,6,2,4]
[6,3,7,4,5,2,1]=>[-1,7,3,5,6,2,4]
[6,3,7,5,1,4,2]=>[6,-1,3,7,5,2,4]
[6,3,7,5,2,1,4]=>[7,6,3,-1,5,2,4]
[6,4,1,2,3,5,7]=>[4,5,6,3,7,2,-1]
[6,4,1,2,3,7,5]=>[4,5,6,3,-1,2,7]
[6,4,1,2,7,3,5]=>[4,5,7,3,-1,2,6]
[6,4,1,2,7,5,3]=>[4,5,-1,3,7,2,6]
[6,4,1,5,2,7,3]=>[4,6,-1,3,5,2,7]
[6,4,1,5,7,2,3]=>[4,7,-1,3,5,2,6]
[6,4,1,5,7,3,2]=>[4,-1,7,3,5,2,6]
[6,4,1,7,2,3,5]=>[4,6,7,3,-1,2,5]
[6,4,1,7,2,5,3]=>[4,6,-1,3,7,2,5]
[6,4,1,7,5,2,3]=>[4,7,-1,3,6,2,5]
[6,4,1,7,5,3,2]=>[4,-1,7,3,6,2,5]
[6,4,2,1,3,5,7]=>[5,4,6,3,7,2,-1]
[6,4,2,1,3,7,5]=>[5,4,6,3,-1,2,7]
[6,4,2,1,5,3,7]=>[5,4,7,3,6,2,-1]
[6,4,2,1,7,3,5]=>[5,4,7,3,-1,2,6]
[6,4,2,1,7,5,3]=>[5,4,-1,3,7,2,6]
[6,4,2,3,1,5,7]=>[6,4,5,3,7,2,-1]
[6,4,2,3,1,7,5]=>[6,4,5,3,-1,2,7]
[6,4,2,3,5,1,7]=>[7,4,5,3,6,2,-1]
[6,4,2,3,7,1,5]=>[7,4,5,3,-1,2,6]
[6,4,2,5,1,3,7]=>[6,4,7,3,5,2,-1]
[6,4,2,5,7,1,3]=>[7,4,-1,3,5,2,6]
[6,4,2,7,1,3,5]=>[6,4,7,3,-1,2,5]
[6,4,2,7,3,5,1]=>[-1,4,6,3,7,2,5]
[6,4,2,7,5,3,1]=>[-1,4,7,3,6,2,5]
[6,4,3,1,2,5,7]=>[5,6,4,3,7,2,-1]
[6,4,3,1,2,7,5]=>[5,6,4,3,-1,2,7]
[6,4,3,1,5,7,2]=>[5,-1,4,3,6,2,7]
[6,4,3,1,7,2,5]=>[5,7,4,3,-1,2,6]
[6,4,3,2,1,5,7]=>[6,5,4,3,7,2,-1]
[6,4,3,2,1,7,5]=>[6,5,4,3,-1,2,7]
[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,-1]
[6,4,3,2,5,7,1]=>[-1,5,4,3,6,2,7]
[6,4,3,2,7,1,5]=>[7,5,4,3,-1,2,6]
[6,4,3,5,1,2,7]=>[6,7,4,3,5,2,-1]
[6,4,3,5,1,7,2]=>[6,-1,4,3,5,2,7]
[6,4,3,5,2,1,7]=>[7,6,4,3,5,2,-1]
[6,4,3,5,2,7,1]=>[-1,6,4,3,5,2,7]
[6,4,3,5,7,2,1]=>[-1,7,4,3,5,2,6]
[6,4,3,7,1,2,5]=>[6,7,4,3,-1,2,5]
[6,4,5,1,2,3,7]=>[5,6,7,3,4,2,-1]
[6,4,5,2,1,3,7]=>[6,5,7,3,4,2,-1]
[6,4,5,2,1,7,3]=>[6,5,-1,3,4,2,7]
[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,-1]
[6,4,5,2,7,1,3]=>[7,5,-1,3,4,2,6]
[6,4,5,3,1,2,7]=>[6,7,5,3,4,2,-1]
[6,4,5,3,2,1,7]=>[7,6,5,3,4,2,-1]
[6,4,5,7,1,2,3]=>[6,7,-1,3,4,2,5]
[6,4,5,7,3,2,1]=>[-1,7,6,3,4,2,5]
[6,4,7,1,2,3,5]=>[5,6,7,3,-1,2,4]
[6,4,7,1,2,5,3]=>[5,6,-1,3,7,2,4]
[6,4,7,1,3,5,2]=>[5,-1,6,3,7,2,4]
[6,4,7,1,5,3,2]=>[5,-1,7,3,6,2,4]
[6,4,7,2,1,3,5]=>[6,5,7,3,-1,2,4]
[6,4,7,2,3,5,1]=>[-1,5,6,3,7,2,4]
[6,4,7,2,5,1,3]=>[7,5,-1,3,6,2,4]
[6,4,7,3,1,2,5]=>[6,7,5,3,-1,2,4]
[6,4,7,3,1,5,2]=>[6,-1,5,3,7,2,4]
[6,4,7,3,2,1,5]=>[7,6,5,3,-1,2,4]
[6,4,7,3,2,5,1]=>[-1,6,5,3,7,2,4]
[6,4,7,5,1,2,3]=>[6,7,-1,3,5,2,4]
[6,4,7,5,2,1,3]=>[7,6,-1,3,5,2,4]
[6,4,7,5,2,3,1]=>[-1,6,7,3,5,2,4]
[6,4,7,5,3,1,2]=>[7,-1,6,3,5,2,4]
[6,4,7,5,3,2,1]=>[-1,7,6,3,5,2,4]
[6,5,1,2,3,4,7]=>[4,5,6,7,3,2,-1]
[6,5,1,2,3,7,4]=>[4,5,6,-1,3,2,7]
[6,5,1,2,7,3,4]=>[4,5,7,-1,3,2,6]
[6,5,1,2,7,4,3]=>[4,5,-1,7,3,2,6]
[6,5,1,3,2,7,4]=>[4,6,5,-1,3,2,7]
[6,5,1,3,7,4,2]=>[4,-1,5,7,3,2,6]
[6,5,1,7,2,4,3]=>[4,6,-1,7,3,2,5]
[6,5,1,7,4,3,2]=>[4,-1,7,6,3,2,5]
[6,5,2,1,3,4,7]=>[5,4,6,7,3,2,-1]
[6,5,2,1,3,7,4]=>[5,4,6,-1,3,2,7]
[6,5,2,1,4,3,7]=>[5,4,7,6,3,2,-1]
[6,5,2,1,7,3,4]=>[5,4,7,-1,3,2,6]
[6,5,2,3,1,4,7]=>[6,4,5,7,3,2,-1]
[6,5,2,3,1,7,4]=>[6,4,5,-1,3,2,7]
[6,5,2,3,4,1,7]=>[7,4,5,6,3,2,-1]
[6,5,2,3,4,7,1]=>[-1,4,5,6,3,2,7]
[6,5,2,3,7,1,4]=>[7,4,5,-1,3,2,6]
[6,5,2,7,1,3,4]=>[6,4,7,-1,3,2,5]
[6,5,2,7,4,1,3]=>[7,4,-1,6,3,2,5]
[6,5,2,7,4,3,1]=>[-1,4,7,6,3,2,5]
[6,5,3,1,2,4,7]=>[5,6,4,7,3,2,-1]
[6,5,3,1,2,7,4]=>[5,6,4,-1,3,2,7]
[6,5,3,1,4,7,2]=>[5,-1,4,6,3,2,7]
[6,5,3,1,7,2,4]=>[5,7,4,-1,3,2,6]
[6,5,3,2,1,4,7]=>[6,5,4,7,3,2,-1]
[6,5,3,2,1,7,4]=>[6,5,4,-1,3,2,7]
[6,5,3,2,4,1,7]=>[7,5,4,6,3,2,-1]
[6,5,3,2,4,7,1]=>[-1,5,4,6,3,2,7]
[6,5,3,4,1,2,7]=>[6,7,4,5,3,2,-1]
[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,-1]
[6,5,3,4,2,7,1]=>[-1,6,4,5,3,2,7]
[6,5,3,4,7,2,1]=>[-1,7,4,5,3,2,6]
[6,5,3,7,1,2,4]=>[6,7,4,-1,3,2,5]
[6,5,3,7,1,4,2]=>[6,-1,4,7,3,2,5]
[6,5,3,7,2,1,4]=>[7,6,4,-1,3,2,5]
[6,5,4,1,2,3,7]=>[5,6,7,4,3,2,-1]
[6,5,4,1,2,7,3]=>[5,6,-1,4,3,2,7]
[6,5,4,1,7,2,3]=>[5,7,-1,4,3,2,6]
[6,5,4,1,7,3,2]=>[5,-1,7,4,3,2,6]
[6,5,4,2,1,3,7]=>[6,5,7,4,3,2,-1]
[6,5,4,2,1,7,3]=>[6,5,-1,4,3,2,7]
[6,5,4,2,3,1,7]=>[7,5,6,4,3,2,-1]
[6,5,4,2,3,7,1]=>[-1,5,6,4,3,2,7]
[6,5,4,2,7,1,3]=>[7,5,-1,4,3,2,6]
[6,5,4,3,1,2,7]=>[6,7,5,4,3,2,-1]
[6,5,4,3,1,7,2]=>[6,-1,5,4,3,2,7]
[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,-1]
[6,5,4,3,2,7,1]=>[-1,6,5,4,3,2,7]
[6,5,4,3,7,2,1]=>[-1,7,5,4,3,2,6]
[6,5,4,7,3,2,1]=>[-1,7,6,4,3,2,5]
[6,5,7,1,2,3,4]=>[5,6,7,-1,3,2,4]
[6,5,7,1,3,4,2]=>[5,-1,6,7,3,2,4]
[6,5,7,1,4,2,3]=>[5,7,-1,6,3,2,4]
[6,5,7,3,1,2,4]=>[6,7,5,-1,3,2,4]
[6,5,7,3,4,2,1]=>[-1,7,5,6,3,2,4]
[6,5,7,4,3,2,1]=>[-1,7,6,5,3,2,4]
[6,7,1,2,3,4,5]=>[4,5,6,7,-1,2,3]
[6,7,1,2,3,5,4]=>[4,5,6,-1,7,2,3]
[6,7,1,2,4,3,5]=>[4,5,7,6,-1,2,3]
[6,7,1,2,4,5,3]=>[4,5,-1,6,7,2,3]
[6,7,1,3,2,4,5]=>[4,6,5,7,-1,2,3]
[6,7,1,3,4,5,2]=>[4,-1,5,6,7,2,3]
[6,7,1,4,5,3,2]=>[4,-1,7,5,6,2,3]
[6,7,1,5,2,3,4]=>[4,6,7,-1,5,2,3]
[6,7,1,5,4,3,2]=>[4,-1,7,6,5,2,3]
[6,7,2,3,1,4,5]=>[6,4,5,7,-1,2,3]
[6,7,2,3,4,1,5]=>[7,4,5,6,-1,2,3]
[6,7,2,3,4,5,1]=>[-1,4,5,6,7,2,3]
[6,7,2,4,5,1,3]=>[7,4,-1,5,6,2,3]
[6,7,3,1,4,5,2]=>[5,-1,4,6,7,2,3]
[6,7,3,1,5,4,2]=>[5,-1,4,7,6,2,3]
[6,7,3,2,1,4,5]=>[6,5,4,7,-1,2,3]
[6,7,3,2,4,5,1]=>[-1,5,4,6,7,2,3]
[6,7,3,2,5,1,4]=>[7,5,4,-1,6,2,3]
[6,7,3,4,1,5,2]=>[6,-1,4,5,7,2,3]
[6,7,3,4,2,1,5]=>[7,6,4,5,-1,2,3]
[6,7,3,4,5,1,2]=>[7,-1,4,5,6,2,3]
[6,7,4,1,2,3,5]=>[5,6,7,4,-1,2,3]
[6,7,4,1,3,5,2]=>[5,-1,6,4,7,2,3]
[6,7,4,1,5,3,2]=>[5,-1,7,4,6,2,3]
[6,7,4,2,3,5,1]=>[-1,5,6,4,7,2,3]
[6,7,4,3,2,5,1]=>[-1,6,5,4,7,2,3]
[6,7,4,5,1,2,3]=>[6,7,-1,4,5,2,3]
[6,7,4,5,1,3,2]=>[6,-1,7,4,5,2,3]
[6,7,5,1,2,3,4]=>[5,6,7,-1,4,2,3]
[6,7,5,1,4,3,2]=>[5,-1,7,6,4,2,3]
[6,7,5,4,3,1,2]=>[7,-1,6,5,4,2,3]
[6,7,5,4,3,2,1]=>[-1,7,6,5,4,2,3]
[7,1,2,3,4,5,6]=>[3,4,5,6,7,-1,2]
[7,1,2,3,4,6,5]=>[3,4,5,6,-1,7,2]
[7,1,2,3,5,4,6]=>[3,4,5,7,6,-1,2]
[7,1,2,3,5,6,4]=>[3,4,5,-1,6,7,2]
[7,1,2,3,6,4,5]=>[3,4,5,7,-1,6,2]
[7,1,2,4,3,5,6]=>[3,4,6,5,7,-1,2]
[7,1,2,4,3,6,5]=>[3,4,6,5,-1,7,2]
[7,1,2,4,5,3,6]=>[3,4,7,5,6,-1,2]
[7,1,2,4,5,6,3]=>[3,4,-1,5,6,7,2]
[7,1,2,5,3,4,6]=>[3,4,6,7,5,-1,2]
[7,1,2,5,3,6,4]=>[3,4,6,-1,5,7,2]
[7,1,2,5,6,3,4]=>[3,4,7,-1,5,6,2]
[7,1,2,6,3,4,5]=>[3,4,6,7,-1,5,2]
[7,1,2,6,4,3,5]=>[3,4,7,6,-1,5,2]
[7,1,2,6,5,3,4]=>[3,4,7,-1,6,5,2]
[7,1,3,2,4,5,6]=>[3,5,4,6,7,-1,2]
[7,1,3,2,4,6,5]=>[3,5,4,6,-1,7,2]
[7,1,3,2,5,4,6]=>[3,5,4,7,6,-1,2]
[7,1,3,2,5,6,4]=>[3,5,4,-1,6,7,2]
[7,1,3,4,2,5,6]=>[3,6,4,5,7,-1,2]
[7,1,3,4,2,6,5]=>[3,6,4,5,-1,7,2]
[7,1,3,4,5,2,6]=>[3,7,4,5,6,-1,2]
[7,1,3,4,5,6,2]=>[3,-1,4,5,6,7,2]
[7,1,4,2,3,5,6]=>[3,5,6,4,7,-1,2]
[7,1,4,2,5,3,6]=>[3,5,7,4,6,-1,2]
[7,1,4,2,5,6,3]=>[3,5,-1,4,6,7,2]
[7,1,4,2,6,3,5]=>[3,5,7,4,-1,6,2]
[7,1,4,5,2,3,6]=>[3,6,7,4,5,-1,2]
[7,1,4,5,2,6,3]=>[3,6,-1,4,5,7,2]
[7,1,4,5,6,2,3]=>[3,7,-1,4,5,6,2]
[7,1,4,6,2,3,5]=>[3,6,7,4,-1,5,2]
[7,1,5,2,3,4,6]=>[3,5,6,7,4,-1,2]
[7,1,5,2,3,6,4]=>[3,5,6,-1,4,7,2]
[7,1,5,2,6,3,4]=>[3,5,7,-1,4,6,2]
[7,1,5,3,2,4,6]=>[3,6,5,7,4,-1,2]
[7,1,5,4,2,3,6]=>[3,6,7,5,4,-1,2]
[7,1,5,6,2,3,4]=>[3,6,7,-1,4,5,2]
[7,1,5,6,3,2,4]=>[3,7,6,-1,4,5,2]
[7,1,6,2,3,4,5]=>[3,5,6,7,-1,4,2]
[7,1,6,2,3,5,4]=>[3,5,6,-1,7,4,2]
[7,1,6,2,4,3,5]=>[3,5,7,6,-1,4,2]
[7,1,6,3,2,4,5]=>[3,6,5,7,-1,4,2]
[7,1,6,3,2,5,4]=>[3,6,5,-1,7,4,2]
[7,1,6,3,4,2,5]=>[3,7,5,6,-1,4,2]
[7,1,6,3,4,5,2]=>[3,-1,5,6,7,4,2]
[7,1,6,3,5,2,4]=>[3,7,5,-1,6,4,2]
[7,1,6,4,5,2,3]=>[3,7,-1,5,6,4,2]
[7,1,6,5,2,3,4]=>[3,6,7,-1,5,4,2]
[7,1,6,5,4,3,2]=>[3,-1,7,6,5,4,2]
[7,2,1,3,4,5,6]=>[4,3,5,6,7,-1,2]
[7,2,1,3,4,6,5]=>[4,3,5,6,-1,7,2]
[7,2,1,3,5,4,6]=>[4,3,5,7,6,-1,2]
[7,2,1,3,5,6,4]=>[4,3,5,-1,6,7,2]
[7,2,1,3,6,4,5]=>[4,3,5,7,-1,6,2]
[7,2,1,4,3,5,6]=>[4,3,6,5,7,-1,2]
[7,2,1,4,3,6,5]=>[4,3,6,5,-1,7,2]
[7,2,1,4,5,3,6]=>[4,3,7,5,6,-1,2]
[7,2,1,4,5,6,3]=>[4,3,-1,5,6,7,2]
[7,2,1,5,3,4,6]=>[4,3,6,7,5,-1,2]
[7,2,1,5,3,6,4]=>[4,3,6,-1,5,7,2]
[7,2,1,5,6,3,4]=>[4,3,7,-1,5,6,2]
[7,2,1,6,3,4,5]=>[4,3,6,7,-1,5,2]
[7,2,1,6,4,3,5]=>[4,3,7,6,-1,5,2]
[7,2,3,1,4,5,6]=>[5,3,4,6,7,-1,2]
[7,2,3,1,4,6,5]=>[5,3,4,6,-1,7,2]
[7,2,3,1,5,4,6]=>[5,3,4,7,6,-1,2]
[7,2,3,1,5,6,4]=>[5,3,4,-1,6,7,2]
[7,2,3,1,6,4,5]=>[5,3,4,7,-1,6,2]
[7,2,3,4,1,5,6]=>[6,3,4,5,7,-1,2]
[7,2,3,4,1,6,5]=>[6,3,4,5,-1,7,2]
[7,2,3,4,5,1,6]=>[7,3,4,5,6,-1,2]
[7,2,3,4,5,6,1]=>[-1,3,4,5,6,7,2]
[7,2,3,4,6,1,5]=>[7,3,4,5,-1,6,2]
[7,2,3,4,6,5,1]=>[-1,3,4,5,7,6,2]
[7,2,3,5,1,4,6]=>[6,3,4,7,5,-1,2]
[7,2,3,5,1,6,4]=>[6,3,4,-1,5,7,2]
[7,2,3,5,4,6,1]=>[-1,3,4,6,5,7,2]
[7,2,3,5,6,1,4]=>[7,3,4,-1,5,6,2]
[7,2,3,5,6,4,1]=>[-1,3,4,7,5,6,2]
[7,2,3,6,4,1,5]=>[7,3,4,6,-1,5,2]
[7,2,3,6,5,4,1]=>[-1,3,4,7,6,5,2]
[7,2,4,1,3,5,6]=>[5,3,6,4,7,-1,2]
[7,2,4,1,5,3,6]=>[5,3,7,4,6,-1,2]
[7,2,4,1,5,6,3]=>[5,3,-1,4,6,7,2]
[7,2,4,1,6,3,5]=>[5,3,7,4,-1,6,2]
[7,2,4,3,5,6,1]=>[-1,3,5,4,6,7,2]
[7,2,4,3,6,5,1]=>[-1,3,5,4,7,6,2]
[7,2,4,5,1,3,6]=>[6,3,7,4,5,-1,2]
[7,2,4,5,1,6,3]=>[6,3,-1,4,5,7,2]
[7,2,4,5,3,6,1]=>[-1,3,6,4,5,7,2]
[7,2,4,5,6,3,1]=>[-1,3,7,4,5,6,2]
[7,2,4,6,5,3,1]=>[-1,3,7,4,6,5,2]
[7,2,5,1,3,4,6]=>[5,3,6,7,4,-1,2]
[7,2,5,3,1,4,6]=>[6,3,5,7,4,-1,2]
[7,2,5,3,4,1,6]=>[7,3,5,6,4,-1,2]
[7,2,5,4,3,6,1]=>[-1,3,6,5,4,7,2]
[7,2,5,4,6,3,1]=>[-1,3,7,5,4,6,2]
[7,2,5,6,1,3,4]=>[6,3,7,-1,4,5,2]
[7,2,5,6,3,1,4]=>[7,3,6,-1,4,5,2]
[7,2,5,6,4,1,3]=>[7,3,-1,6,4,5,2]
[7,2,6,1,3,4,5]=>[5,3,6,7,-1,4,2]
[7,2,6,3,1,4,5]=>[6,3,5,7,-1,4,2]
[7,2,6,3,1,5,4]=>[6,3,5,-1,7,4,2]
[7,2,6,3,4,1,5]=>[7,3,5,6,-1,4,2]
[7,2,6,3,4,5,1]=>[-1,3,5,6,7,4,2]
[7,2,6,4,5,3,1]=>[-1,3,7,5,6,4,2]
[7,2,6,5,4,3,1]=>[-1,3,7,6,5,4,2]
[7,3,1,2,4,5,6]=>[4,5,3,6,7,-1,2]
[7,3,1,2,6,4,5]=>[4,5,3,7,-1,6,2]
[7,3,1,4,2,5,6]=>[4,6,3,5,7,-1,2]
[7,3,1,4,2,6,5]=>[4,6,3,5,-1,7,2]
[7,3,1,4,5,2,6]=>[4,7,3,5,6,-1,2]
[7,3,1,4,5,6,2]=>[4,-1,3,5,6,7,2]
[7,3,1,4,6,2,5]=>[4,7,3,5,-1,6,2]
[7,3,1,5,2,4,6]=>[4,6,3,7,5,-1,2]
[7,3,1,5,2,6,4]=>[4,6,3,-1,5,7,2]
[7,3,1,5,6,2,4]=>[4,7,3,-1,5,6,2]
[7,3,1,6,2,4,5]=>[4,6,3,7,-1,5,2]
[7,3,1,6,5,4,2]=>[4,-1,3,7,6,5,2]
[7,3,2,1,4,5,6]=>[5,4,3,6,7,-1,2]
[7,3,2,4,1,5,6]=>[6,4,3,5,7,-1,2]
[7,3,2,4,5,1,6]=>[7,4,3,5,6,-1,2]
[7,3,2,4,5,6,1]=>[-1,4,3,5,6,7,2]
[7,3,2,4,6,5,1]=>[-1,4,3,5,7,6,2]
[7,3,2,5,4,6,1]=>[-1,4,3,6,5,7,2]
[7,3,2,5,6,4,1]=>[-1,4,3,7,5,6,2]
[7,3,2,6,5,4,1]=>[-1,4,3,7,6,5,2]
[7,3,4,1,2,5,6]=>[5,6,3,4,7,-1,2]
[7,3,4,1,5,2,6]=>[5,7,3,4,6,-1,2]
[7,3,4,1,5,6,2]=>[5,-1,3,4,6,7,2]
[7,3,4,1,6,2,5]=>[5,7,3,4,-1,6,2]
[7,3,4,2,1,5,6]=>[6,5,3,4,7,-1,2]
[7,3,4,2,5,1,6]=>[7,5,3,4,6,-1,2]
[7,3,4,2,5,6,1]=>[-1,5,3,4,6,7,2]
[7,3,4,2,6,5,1]=>[-1,5,3,4,7,6,2]
[7,3,4,5,1,2,6]=>[6,7,3,4,5,-1,2]
[7,3,4,5,2,1,6]=>[7,6,3,4,5,-1,2]
[7,3,4,5,2,6,1]=>[-1,6,3,4,5,7,2]
[7,3,4,5,6,1,2]=>[7,-1,3,4,5,6,2]
[7,3,4,5,6,2,1]=>[-1,7,3,4,5,6,2]
[7,3,4,6,1,2,5]=>[6,7,3,4,-1,5,2]
[7,3,4,6,5,2,1]=>[-1,7,3,4,6,5,2]
[7,3,5,1,2,4,6]=>[5,6,3,7,4,-1,2]
[7,3,5,1,6,2,4]=>[5,7,3,-1,4,6,2]
[7,3,5,4,2,6,1]=>[-1,6,3,5,4,7,2]
[7,3,5,4,6,2,1]=>[-1,7,3,5,4,6,2]
[7,3,5,6,1,2,4]=>[6,7,3,-1,4,5,2]
[7,3,6,1,2,4,5]=>[5,6,3,7,-1,4,2]
[7,3,6,1,5,4,2]=>[5,-1,3,7,6,4,2]
[7,3,6,4,5,2,1]=>[-1,7,3,5,6,4,2]
[7,3,6,5,1,2,4]=>[6,7,3,-1,5,4,2]
[7,3,6,5,1,4,2]=>[6,-1,3,7,5,4,2]
[7,3,6,5,4,1,2]=>[7,-1,3,6,5,4,2]
[7,3,6,5,4,2,1]=>[-1,7,3,6,5,4,2]
[7,4,1,2,3,5,6]=>[4,5,6,3,7,-1,2]
[7,4,1,2,6,3,5]=>[4,5,7,3,-1,6,2]
[7,4,1,3,5,2,6]=>[4,7,5,3,6,-1,2]
[7,4,1,3,5,6,2]=>[4,-1,5,3,6,7,2]
[7,4,1,5,2,3,6]=>[4,6,7,3,5,-1,2]
[7,4,1,5,6,2,3]=>[4,7,-1,3,5,6,2]
[7,4,1,6,2,3,5]=>[4,6,7,3,-1,5,2]
[7,4,1,6,3,5,2]=>[4,-1,6,3,7,5,2]
[7,4,1,6,5,3,2]=>[4,-1,7,3,6,5,2]
[7,4,2,1,3,5,6]=>[5,4,6,3,7,-1,2]
[7,4,2,3,1,5,6]=>[6,4,5,3,7,-1,2]
[7,4,2,3,5,1,6]=>[7,4,5,3,6,-1,2]
[7,4,2,6,3,1,5]=>[7,4,6,3,-1,5,2]
[7,4,3,1,2,5,6]=>[5,6,4,3,7,-1,2]
[7,4,3,2,1,5,6]=>[6,5,4,3,7,-1,2]
[7,4,3,2,5,6,1]=>[-1,5,4,3,6,7,2]
[7,4,3,2,6,5,1]=>[-1,5,4,3,7,6,2]
[7,4,3,5,2,6,1]=>[-1,6,4,3,5,7,2]
[7,4,3,5,6,2,1]=>[-1,7,4,3,5,6,2]
[7,4,3,6,5,2,1]=>[-1,7,4,3,6,5,2]
[7,4,5,1,2,3,6]=>[5,6,7,3,4,-1,2]
[7,4,5,1,2,6,3]=>[5,6,-1,3,4,7,2]
[7,4,5,1,3,2,6]=>[5,7,6,3,4,-1,2]
[7,4,5,2,1,3,6]=>[6,5,7,3,4,-1,2]
[7,4,5,2,3,1,6]=>[7,5,6,3,4,-1,2]
[7,4,5,3,1,2,6]=>[6,7,5,3,4,-1,2]
[7,4,5,3,1,6,2]=>[6,-1,5,3,4,7,2]
[7,4,5,3,2,1,6]=>[7,6,5,3,4,-1,2]
[7,4,5,6,1,2,3]=>[6,7,-1,3,4,5,2]
[7,4,5,6,2,1,3]=>[7,6,-1,3,4,5,2]
[7,4,5,6,2,3,1]=>[-1,6,7,3,4,5,2]
[7,4,5,6,3,1,2]=>[7,-1,6,3,4,5,2]
[7,4,5,6,3,2,1]=>[-1,7,6,3,4,5,2]
[7,4,6,1,3,2,5]=>[5,7,6,3,-1,4,2]
[7,4,6,2,1,3,5]=>[6,5,7,3,-1,4,2]
[7,4,6,2,3,1,5]=>[7,5,6,3,-1,4,2]
[7,5,1,2,3,4,6]=>[4,5,6,7,3,-1,2]
[7,5,1,2,4,3,6]=>[4,5,7,6,3,-1,2]
[7,5,1,3,4,2,6]=>[4,7,5,6,3,-1,2]
[7,5,1,4,2,3,6]=>[4,6,7,5,3,-1,2]
[7,5,1,6,2,3,4]=>[4,6,7,-1,3,5,2]
[7,5,2,1,3,4,6]=>[5,4,6,7,3,-1,2]
[7,5,2,1,4,3,6]=>[5,4,7,6,3,-1,2]
[7,5,2,3,1,4,6]=>[6,4,5,7,3,-1,2]
[7,5,2,3,1,6,4]=>[6,4,5,-1,3,7,2]
[7,5,2,3,4,1,6]=>[7,4,5,6,3,-1,2]
[7,5,2,3,4,6,1]=>[-1,4,5,6,3,7,2]
[7,5,2,3,6,1,4]=>[7,4,5,-1,3,6,2]
[7,5,2,3,6,4,1]=>[-1,4,5,7,3,6,2]
[7,5,2,4,6,3,1]=>[-1,4,7,5,3,6,2]
[7,5,2,6,3,1,4]=>[7,4,6,-1,3,5,2]
[7,5,3,1,2,4,6]=>[5,6,4,7,3,-1,2]
[7,5,3,2,1,4,6]=>[6,5,4,7,3,-1,2]
[7,5,3,2,4,1,6]=>[7,5,4,6,3,-1,2]
[7,5,3,4,1,2,6]=>[6,7,4,5,3,-1,2]
[7,5,3,4,2,1,6]=>[7,6,4,5,3,-1,2]
[7,5,3,4,2,6,1]=>[-1,6,4,5,3,7,2]
[7,5,3,4,6,2,1]=>[-1,7,4,5,3,6,2]
[7,5,3,6,2,4,1]=>[-1,6,4,7,3,5,2]
[7,5,4,1,2,3,6]=>[5,6,7,4,3,-1,2]
[7,5,4,1,6,2,3]=>[5,7,-1,4,3,6,2]
[7,5,4,1,6,3,2]=>[5,-1,7,4,3,6,2]
[7,5,4,2,1,3,6]=>[6,5,7,4,3,-1,2]
[7,5,4,2,3,1,6]=>[7,5,6,4,3,-1,2]
[7,5,4,3,1,2,6]=>[6,7,5,4,3,-1,2]
[7,5,4,3,2,1,6]=>[7,6,5,4,3,-1,2]
[7,5,4,3,2,6,1]=>[-1,6,5,4,3,7,2]
[7,5,4,3,6,2,1]=>[-1,7,5,4,3,6,2]
[7,5,4,6,1,2,3]=>[6,7,-1,4,3,5,2]
[7,5,6,1,2,3,4]=>[5,6,7,-1,3,4,2]
[7,5,6,1,4,2,3]=>[5,7,-1,6,3,4,2]
[7,5,6,2,1,3,4]=>[6,5,7,-1,3,4,2]
[7,5,6,2,3,1,4]=>[7,5,6,-1,3,4,2]
[7,5,6,2,3,4,1]=>[-1,5,6,7,3,4,2]
[7,5,6,3,1,2,4]=>[6,7,5,-1,3,4,2]
[7,5,6,3,2,1,4]=>[7,6,5,-1,3,4,2]
[7,5,6,3,4,1,2]=>[7,-1,5,6,3,4,2]
[7,5,6,3,4,2,1]=>[-1,7,5,6,3,4,2]
[7,5,6,4,1,2,3]=>[6,7,-1,5,3,4,2]
[7,5,6,4,2,1,3]=>[7,6,-1,5,3,4,2]
[7,5,6,4,2,3,1]=>[-1,6,7,5,3,4,2]
[7,5,6,4,3,1,2]=>[7,-1,6,5,3,4,2]
[7,5,6,4,3,2,1]=>[-1,7,6,5,3,4,2]
[7,6,1,2,3,4,5]=>[4,5,6,7,-1,3,2]
[7,6,1,3,4,2,5]=>[4,7,5,6,-1,3,2]
[7,6,1,5,2,3,4]=>[4,6,7,-1,5,3,2]
[7,6,1,5,4,3,2]=>[4,-1,7,6,5,3,2]
[7,6,2,1,3,4,5]=>[5,4,6,7,-1,3,2]
[7,6,2,1,4,3,5]=>[5,4,7,6,-1,3,2]
[7,6,2,1,4,5,3]=>[5,4,-1,6,7,3,2]
[7,6,2,3,1,4,5]=>[6,4,5,7,-1,3,2]
[7,6,2,3,4,1,5]=>[7,4,5,6,-1,3,2]
[7,6,2,3,4,5,1]=>[-1,4,5,6,7,3,2]
[7,6,3,1,2,4,5]=>[5,6,4,7,-1,3,2]
[7,6,3,2,1,4,5]=>[6,5,4,7,-1,3,2]
[7,6,3,4,1,2,5]=>[6,7,4,5,-1,3,2]
[7,6,3,4,2,1,5]=>[7,6,4,5,-1,3,2]
[7,6,3,4,5,1,2]=>[7,-1,4,5,6,3,2]
[7,6,3,4,5,2,1]=>[-1,7,4,5,6,3,2]
[7,6,3,5,4,2,1]=>[-1,7,4,6,5,3,2]
[7,6,4,1,2,3,5]=>[5,6,7,4,-1,3,2]
[7,6,4,2,1,3,5]=>[6,5,7,4,-1,3,2]
[7,6,4,2,3,1,5]=>[7,5,6,4,-1,3,2]
[7,6,4,3,1,2,5]=>[6,7,5,4,-1,3,2]
[7,6,4,3,2,1,5]=>[7,6,5,4,-1,3,2]
[7,6,4,3,5,2,1]=>[-1,7,5,4,6,3,2]
[7,6,4,5,1,2,3]=>[6,7,-1,4,5,3,2]
[7,6,4,5,1,3,2]=>[6,-1,7,4,5,3,2]
[7,6,4,5,2,1,3]=>[7,6,-1,4,5,3,2]
[7,6,4,5,2,3,1]=>[-1,6,7,4,5,3,2]
[7,6,4,5,3,1,2]=>[7,-1,6,4,5,3,2]
[7,6,4,5,3,2,1]=>[-1,7,6,4,5,3,2]
[7,6,5,1,2,3,4]=>[5,6,7,-1,4,3,2]
[7,6,5,2,1,3,4]=>[6,5,7,-1,4,3,2]
[7,6,5,2,3,1,4]=>[7,5,6,-1,4,3,2]
[7,6,5,2,3,4,1]=>[-1,5,6,7,4,3,2]
[7,6,5,3,1,2,4]=>[6,7,5,-1,4,3,2]
[7,6,5,3,2,1,4]=>[7,6,5,-1,4,3,2]
[7,6,5,3,4,1,2]=>[7,-1,5,6,4,3,2]
[7,6,5,3,4,2,1]=>[-1,7,5,6,4,3,2]
[7,6,5,4,1,2,3]=>[6,7,-1,5,4,3,2]
[7,6,5,4,2,1,3]=>[7,6,-1,5,4,3,2]
[7,6,5,4,2,3,1]=>[-1,6,7,5,4,3,2]
[7,6,5,4,3,1,2]=>[7,-1,6,5,4,3,2]
[7,6,5,4,3,2,1]=>[-1,7,6,5,4,3,2]
[3,4,5,6,7,-1,2]=>[-7,-1,2,3,4,5,6]
[3,4,5,6,-1,2,7]=>[-6,7,2,3,4,5,-1]
[3,4,5,7,2,-1,6]=>[-7,6,2,3,4,-1,5]
[3,4,5,7,-1,6,2]=>[-6,-1,2,3,4,7,5]
[3,4,5,-1,2,6,7]=>[-5,6,2,3,4,7,-1]
[3,4,6,2,7,-1,5]=>[-7,5,2,3,-1,4,6]
[3,4,6,2,-1,5,7]=>[-6,5,2,3,7,4,-1]
[3,4,6,7,5,-1,2]=>[-7,-1,2,3,6,4,5]
[3,4,6,7,-1,5,2]=>[-6,-1,2,3,7,4,5]
[3,4,6,-1,5,2,7]=>[-5,7,2,3,6,4,-1]
[3,4,7,2,5,-1,6]=>[-7,5,2,3,6,-1,4]
[3,4,7,2,-1,6,5]=>[-6,5,2,3,-1,7,4]
[3,4,7,-1,5,6,2]=>[-5,-1,2,3,6,7,4]
[3,4,-1,2,5,6,7]=>[-4,5,2,3,6,7,-1]
[3,5,2,6,7,-1,4]=>[-7,4,2,-1,3,5,6]
[3,5,2,6,-1,4,7]=>[-6,4,2,7,3,5,-1]
[3,5,2,7,4,-1,6]=>[-7,4,2,6,3,-1,5]
[3,5,2,7,-1,6,4]=>[-6,4,2,-1,3,7,5]
[3,5,2,-1,4,6,7]=>[-5,4,2,6,3,7,-1]
[3,5,6,4,7,-1,2]=>[-7,-1,2,5,3,4,6]
[3,5,6,4,-1,2,7]=>[-6,7,2,5,3,4,-1]
[3,5,6,7,4,-1,2]=>[-7,-1,2,6,3,4,5]
[3,5,6,7,-1,2,4]=>[-6,7,2,-1,3,4,5]
[3,5,6,-1,4,2,7]=>[-5,7,2,6,3,4,-1]
[3,5,7,4,2,-1,6]=>[-7,6,2,5,3,-1,4]
[3,5,7,4,-1,6,2]=>[-6,-1,2,5,3,7,4]
[3,5,7,-1,4,6,2]=>[-5,-1,2,6,3,7,4]
[3,5,-1,4,2,6,7]=>[-4,6,2,5,3,7,-1]
[3,6,2,4,7,-1,5]=>[-7,4,2,5,-1,3,6]
[3,6,2,4,-1,5,7]=>[-6,4,2,5,7,3,-1]
[3,6,2,7,5,-1,4]=>[-7,4,2,-1,6,3,5]
[3,6,2,7,-1,5,4]=>[-6,4,2,-1,7,3,5]
[3,6,2,-1,5,4,7]=>[-5,4,2,7,6,3,-1]
[3,6,7,4,5,-1,2]=>[-7,-1,2,5,6,3,4]
[3,6,7,4,-1,5,2]=>[-6,-1,2,5,7,3,4]
[3,6,7,-1,5,4,2]=>[-5,-1,2,7,6,3,4]
[3,6,-1,4,5,2,7]=>[-4,7,2,5,6,3,-1]
[3,7,2,4,5,-1,6]=>[-7,4,2,5,6,-1,3]
[3,7,2,4,-1,6,5]=>[-6,4,2,5,-1,7,3]
[3,7,2,-1,5,6,4]=>[-5,4,2,-1,6,7,3]
[3,7,-1,4,5,6,2]=>[-4,-1,2,5,6,7,3]
[3,-1,2,4,5,6,7]=>[-3,4,2,5,6,7,-1]
[4,2,5,6,7,-1,3]=>[-7,3,-1,2,4,5,6]
[4,2,5,6,-1,3,7]=>[-6,3,7,2,4,5,-1]
[4,2,5,7,3,-1,6]=>[-7,3,6,2,4,-1,5]
[4,2,5,7,-1,6,3]=>[-6,3,-1,2,4,7,5]
[4,2,5,-1,3,6,7]=>[-5,3,6,2,4,7,-1]
[4,2,6,3,7,-1,5]=>[-7,3,5,2,-1,4,6]
[4,2,6,3,-1,5,7]=>[-6,3,5,2,7,4,-1]
[4,2,6,7,5,-1,3]=>[-7,3,-1,2,6,4,5]
[4,2,6,7,-1,5,3]=>[-6,3,-1,2,7,4,5]
[4,2,6,-1,5,3,7]=>[-5,3,7,2,6,4,-1]
[4,2,7,3,5,-1,6]=>[-7,3,5,2,6,-1,4]
[4,2,7,3,-1,6,5]=>[-6,3,5,2,-1,7,4]
[4,2,7,-1,5,6,3]=>[-5,3,-1,2,6,7,4]
[4,2,-1,3,5,6,7]=>[-4,3,5,2,6,7,-1]
[4,5,3,6,7,-1,2]=>[-7,-1,4,2,3,5,6]
[4,5,3,6,-1,2,7]=>[-6,7,4,2,3,5,-1]
[4,5,3,7,2,-1,6]=>[-7,6,4,2,3,-1,5]
[4,5,3,7,-1,6,2]=>[-6,-1,4,2,3,7,5]
[4,5,3,-1,2,6,7]=>[-5,6,4,2,3,7,-1]
[4,5,6,3,7,-1,2]=>[-7,-1,5,2,3,4,6]
[4,5,6,3,-1,2,7]=>[-6,7,5,2,3,4,-1]
[4,5,6,7,2,-1,3]=>[-7,6,-1,2,3,4,5]
[4,5,6,7,-1,3,2]=>[-6,-1,7,2,3,4,5]
[4,5,6,-1,2,3,7]=>[-5,6,7,2,3,4,-1]
[4,5,7,3,2,-1,6]=>[-7,6,5,2,3,-1,4]
[4,5,7,3,-1,6,2]=>[-6,-1,5,2,3,7,4]
[4,5,7,-1,2,6,3]=>[-5,6,-1,2,3,7,4]
[4,5,-1,3,2,6,7]=>[-4,6,5,2,3,7,-1]
[4,6,3,2,7,-1,5]=>[-7,5,4,2,-1,3,6]
[4,6,3,2,-1,5,7]=>[-6,5,4,2,7,3,-1]
[4,6,3,7,5,-1,2]=>[-7,-1,4,2,6,3,5]
[4,6,3,7,-1,5,2]=>[-6,-1,4,2,7,3,5]
[4,6,3,-1,5,2,7]=>[-5,7,4,2,6,3,-1]
[4,6,7,3,5,-1,2]=>[-7,-1,5,2,6,3,4]
[4,6,7,3,-1,5,2]=>[-6,-1,5,2,7,3,4]
[4,6,7,-1,5,2,3]=>[-5,7,-1,2,6,3,4]
[4,6,-1,3,5,2,7]=>[-4,7,5,2,6,3,-1]
[4,7,3,2,5,-1,6]=>[-7,5,4,2,6,-1,3]
[4,7,3,2,-1,6,5]=>[-6,5,4,2,-1,7,3]
[4,7,3,-1,5,6,2]=>[-5,-1,4,2,6,7,3]
[4,7,-1,3,5,6,2]=>[-4,-1,5,2,6,7,3]
[4,-1,3,2,5,6,7]=>[-3,5,4,2,6,7,-1]
[5,2,3,6,7,-1,4]=>[-7,3,4,-1,2,5,6]
[5,2,3,6,-1,4,7]=>[-6,3,4,7,2,5,-1]
[5,2,3,7,4,-1,6]=>[-7,3,4,6,2,-1,5]
[5,2,3,7,-1,6,4]=>[-6,3,4,-1,2,7,5]
[5,2,3,-1,4,6,7]=>[-5,3,4,6,2,7,-1]
[5,2,6,4,7,-1,3]=>[-7,3,-1,5,2,4,6]
[5,2,6,4,-1,3,7]=>[-6,3,7,5,2,4,-1]
[5,2,6,7,4,-1,3]=>[-7,3,-1,6,2,4,5]
[5,2,6,7,-1,3,4]=>[-6,3,7,-1,2,4,5]
[5,2,6,-1,4,3,7]=>[-5,3,7,6,2,4,-1]
[5,2,7,4,3,-1,6]=>[-7,3,6,5,2,-1,4]
[5,2,7,4,-1,6,3]=>[-6,3,-1,5,2,7,4]
[5,2,7,-1,4,6,3]=>[-5,3,-1,6,2,7,4]
[5,2,-1,4,3,6,7]=>[-4,3,6,5,2,7,-1]
[5,6,3,4,7,-1,2]=>[-7,-1,4,5,2,3,6]
[5,6,3,4,-1,2,7]=>[-6,7,4,5,2,3,-1]
[5,6,3,7,4,-1,2]=>[-7,-1,4,6,2,3,5]
[5,6,3,7,-1,2,4]=>[-6,7,4,-1,2,3,5]
[5,6,3,-1,4,2,7]=>[-5,7,4,6,2,3,-1]
[5,6,7,4,3,-1,2]=>[-7,-1,6,5,2,3,4]
[5,6,7,4,-1,2,3]=>[-6,7,-1,5,2,3,4]
[5,6,7,-1,4,2,3]=>[-5,7,-1,6,2,3,4]
[5,6,-1,4,3,2,7]=>[-4,7,6,5,2,3,-1]
[5,7,3,4,2,-1,6]=>[-7,6,4,5,2,-1,3]
[5,7,3,4,-1,6,2]=>[-6,-1,4,5,2,7,3]
[5,7,3,-1,4,6,2]=>[-5,-1,4,6,2,7,3]
[5,7,-1,4,3,6,2]=>[-4,-1,6,5,2,7,3]
[5,-1,3,4,2,6,7]=>[-3,6,4,5,2,7,-1]
[6,2,3,4,7,-1,5]=>[-7,3,4,5,-1,2,6]
[6,2,3,4,-1,5,7]=>[-6,3,4,5,7,2,-1]
[6,2,3,7,5,-1,4]=>[-7,3,4,-1,6,2,5]
[6,2,3,7,-1,5,4]=>[-6,3,4,-1,7,2,5]
[6,2,3,-1,5,4,7]=>[-5,3,4,7,6,2,-1]
[6,2,7,4,5,-1,3]=>[-7,3,-1,5,6,2,4]
[6,2,7,4,-1,5,3]=>[-6,3,-1,5,7,2,4]
[6,2,7,-1,5,4,3]=>[-5,3,-1,7,6,2,4]
[6,2,-1,4,5,3,7]=>[-4,3,7,5,6,2,-1]
[6,7,3,4,5,-1,2]=>[-7,-1,4,5,6,2,3]
[6,7,3,4,-1,5,2]=>[-6,-1,4,5,7,2,3]
[6,7,3,-1,5,4,2]=>[-5,-1,4,7,6,2,3]
[6,7,-1,4,5,3,2]=>[-4,-1,7,5,6,2,3]
[6,-1,3,4,5,2,7]=>[-3,7,4,5,6,2,-1]
[7,2,3,4,5,-1,6]=>[-7,3,4,5,6,-1,2]
[7,2,3,4,-1,6,5]=>[-6,3,4,5,-1,7,2]
[7,2,3,-1,5,6,4]=>[-5,3,4,-1,6,7,2]
[7,2,-1,4,5,6,3]=>[-4,3,-1,5,6,7,2]
[7,-1,3,4,5,6,2]=>[-3,-1,4,5,6,7,2]
[-1,2,3,4,5,6,7]=>[-2,3,4,5,6,7,-1]
[1,2,-7,-6,3,4,5]=>[2,3,6,7,-1,-5,-4]
[1,7,-6,-5,2,3,4]=>[2,6,7,-1,-5,-4,3]
[-7,1,-4,2,3,5,6]=>[3,5,6,-4,7,-1,-2]
[-6,7,-4,1,2,3,5]=>[5,6,7,-4,-1,-2,3]
[6,1,2,-7,3,4,5]=>[3,4,6,7,-1,2,-5]
[-5,1,7,-6,2,3,4]=>[3,6,7,-1,-2,-5,4]
[1,5,-7,-4,2,3,6]=>[2,6,7,-5,3,-1,-4]
[-7,-4,6,1,2,3,5]=>[5,6,7,-3,-1,4,-2]
[1,-7,-6,-5,-4,2,3]=>[2,7,-1,-6,-5,-4,-3]
[-3,7,-6,1,2,4,5]=>[5,6,-2,7,-1,-4,3]
[6,7,-5,-3,1,2,4]=>[6,7,-5,-1,-4,2,3]
[-4,1,7,-6,2,3,5]=>[3,6,7,-2,-1,-5,4]
[5,1,2,-7,3,4,6]=>[3,4,6,7,2,-1,-5]
[1,-6,7,2,3,4,5]=>[2,5,6,7,-1,-3,4]
[1,-5,-7,-6,2,3,4]=>[2,6,7,-1,-3,-5,-4]
[-5,7,6,1,2,3,4]=>[5,6,7,-1,-2,4,3]
[-7,-4,-6,-5,1,2,3]=>[6,7,-1,-3,-5,-4,-2]
[-7,4,-3,1,2,5,6]=>[5,6,-4,3,7,-1,-2]
[-4,-7,-6,-3,1,2,5]=>[6,7,-5,-2,-1,-4,-3]
[6,-7,3,1,2,4,5]=>[5,6,4,7,-1,2,-3]
[-6,5,7,-3,1,2,4]=>[6,7,-5,-1,3,-2,4]
[6,-7,1,4,2,3,5]=>[4,6,7,5,-1,2,-3]
[6,5,1,-7,2,3,4]=>[4,6,7,-1,3,2,-5]
[5,-4,7,-6,1,2,3]=>[6,7,-1,-3,2,-5,4]
[-5,-7,-4,-3,1,2,6]=>[6,7,-5,-4,-2,-1,-3]
[6,4,-7,-3,1,2,5]=>[6,7,-5,3,-1,2,-4]
[7,-6,-5,-4,-3,1,2]=>[7,-1,-6,-5,-4,-3,2]
[-2,1,-7,3,4,5,6]=>[3,-2,5,6,7,-1,-4]
[-2,7,-6,1,3,4,5]=>[5,-2,6,7,-1,-4,3]
[-7,2,-5,1,3,4,6]=>[5,3,6,7,-4,-1,-2]
[-2,-7,-6,-5,1,3,4]=>[6,-2,7,-1,-5,-4,-3]
[-4,2,-7,1,3,5,6]=>[5,3,6,-2,7,-1,-4]
[2,7,-6,-4,1,3,5]=>[6,2,7,-5,-1,-4,3]
[-2,-6,-7,1,3,4,5]=>[5,-2,6,7,-1,-3,-4]
[5,2,-7,-6,1,3,4]=>[6,3,7,-1,2,-5,-4]
[2,5,-7,-4,1,3,6]=>[6,2,7,-5,3,-1,-4]
[-7,2,6,-4,1,3,5]=>[6,3,7,-5,-1,4,-2]
[6,-5,2,-7,1,3,4]=>[6,4,7,-1,-3,2,-5]
[2,-7,-6,-5,-4,1,3]=>[7,2,-1,-6,-5,-4,-3]
[3,1,-7,-6,2,4,5]=>[3,6,2,7,-1,-5,-4]
[-7,-3,-6,-5,1,2,4]=>[6,7,-3,-1,-5,-4,-2]
[1,-7,4,2,3,5,6]=>[2,5,6,4,7,-1,-3]
[1,-4,-7,-6,2,3,5]=>[2,6,7,-3,-1,-5,-4]
[1,-7,5,2,3,4,6]=>[2,5,6,7,4,-1,-3]
[1,6,2,-7,3,4,5]=>[2,4,6,7,-1,3,-5]
[6,1,7,-5,2,3,4]=>[3,6,7,-1,-5,2,4]
[4,-5,7,1,2,3,6]=>[5,6,7,2,-3,-1,4]
[-4,7,6,1,2,3,5]=>[5,6,7,-2,-1,4,3]
[7,-5,1,6,2,3,4]=>[4,6,7,-1,-3,5,2]
[4,1,-7,-6,-5,2,3]=>[3,7,-1,2,-6,-5,-4]
[-7,-4,3,1,2,5,6]=>[5,6,4,-3,7,-1,-2]
[-3,6,7,-4,1,2,5]=>[6,7,-2,-5,-1,3,4]
[3,6,1,-7,2,4,5]=>[4,6,2,7,-1,3,-5]
[5,-3,7,-6,1,2,4]=>[6,7,-3,-1,2,-5,4]
[-4,7,5,1,2,3,6]=>[5,6,7,-2,4,-1,3]
[-4,6,1,-7,2,3,5]=>[4,6,7,-2,-1,3,-5]
[7,5,1,-6,2,3,4]=>[4,6,7,-1,3,-5,2]
[7,-5,-4,-6,1,2,3]=>[6,7,-1,-4,-3,-5,2]
[-5,-3,-7,-4,1,2,6]=>[6,7,-3,-5,-2,-1,-4]
[-7,-4,3,6,1,2,5]=>[6,7,4,-3,-1,5,-2]
[4,5,-7,6,1,2,3]=>[6,7,-1,2,3,5,-4]
[-3,7,-6,-5,-4,1,2]=>[7,-1,-2,-6,-5,-4,3]
[-2,3,-7,1,4,5,6]=>[5,-2,3,6,7,-1,-4]
[2,3,-7,-6,1,4,5]=>[6,2,3,7,-1,-5,-4]
[3,7,-5,-2,1,4,6]=>[6,-5,2,7,-4,-1,3]
[-6,2,3,-7,1,4,5]=>[6,3,4,7,-1,-2,-5]
[3,-7,-6,-5,-2,1,4]=>[7,-6,2,-1,-5,-4,-3]
[4,2,-7,-6,1,3,5]=>[6,3,7,2,-1,-5,-4]
[-2,-5,-7,1,3,4,6]=>[5,-2,6,7,-3,-1,-4]
[7,-6,2,1,3,4,5]=>[5,4,6,7,-1,-3,2]
[2,-5,-7,-6,1,3,4]=>[6,2,7,-1,-3,-5,-4]
[-4,2,7,-5,1,3,6]=>[6,3,7,-2,-5,-1,4]
[6,-4,2,-7,1,3,5]=>[6,4,7,-3,-1,2,-5]
[5,6,2,-7,1,3,4]=>[6,4,7,-1,2,3,-5]
[-4,2,-7,-6,-5,1,3]=>[7,3,-1,-2,-6,-5,-4]
[4,-3,7,-6,1,2,5]=>[6,7,-3,2,-1,-5,4]
[3,5,1,-7,2,4,6]=>[4,6,2,7,3,-1,-5]
[-6,7,3,1,2,4,5]=>[5,6,4,7,-1,-2,3]
[-3,-5,7,-6,1,2,4]=>[6,7,-2,-1,-3,-5,4]
[5,4,1,-7,2,3,6]=>[4,6,7,3,2,-1,-5]
[7,4,1,-6,2,3,5]=>[4,6,7,3,-1,-5,2]
[-7,1,-6,5,2,3,4]=>[3,6,7,-1,5,-4,-2]
[-5,4,1,-7,-6,2,3]=>[4,7,-1,3,-2,-6,-5]
[-7,5,3,6,1,2,4]=>[6,7,4,-1,3,5,-2]
[-5,4,7,6,1,2,3]=>[6,7,-1,3,-2,5,4]
[-4,-3,7,-6,-5,1,2]=>[7,-1,-3,-2,-6,-5,4]
[3,4,-7,-2,1,5,6]=>[6,-5,2,3,7,-1,-4]
[4,-7,-6,-3,-2,1,5]=>[7,-6,-5,2,-1,-4,-3]
[-5,2,3,-7,1,4,6]=>[6,3,4,7,-2,-1,-5]
[6,2,3,-7,1,4,5]=>[6,3,4,7,-1,2,-5]
[-5,3,-7,-6,-2,1,4]=>[7,-6,3,-1,-2,-5,-4]
[5,-4,2,-7,1,3,6]=>[6,4,7,-3,2,-1,-5]
[-4,-6,2,-7,1,3,5]=>[6,4,7,-2,-1,-3,-5]
[-5,2,-6,-7,1,3,4]=>[6,3,7,-1,-2,-4,-5]
[-5,-4,2,-7,-6,1,3]=>[7,4,-1,-3,-2,-6,-5]
[3,6,-7,4,1,2,5]=>[6,7,2,5,-1,3,-4]
[6,5,-7,3,1,2,4]=>[6,7,5,-1,3,2,-4]
[6,4,5,1,-7,2,3]=>[5,7,-1,3,4,2,-6]
[-5,-4,-3,7,-6,1,2]=>[7,-1,-4,-3,-2,-6,5]
[5,-7,-4,-3,-2,1,6]=>[7,-6,-5,-4,2,-1,-3]
[-6,4,-7,-3,-2,1,5]=>[7,-6,-5,3,-1,-2,-4]
[-6,-5,3,-7,-2,1,4]=>[7,-6,4,-1,-3,-2,-5]
[-6,-5,-4,2,-7,1,3]=>[7,5,-1,-4,-3,-2,-6]
[-7,-6,-5,-4,-3,-2,1]=>[-1,-7,-6,-5,-4,-3,-2]
[1,2,7,3,4,-6,5]=>[2,3,5,6,-1,-7,4]
[1,2,7,3,-5,4,6]=>[2,3,5,7,-6,-1,4]
[1,2,3,-7,6,4,5]=>[2,3,4,7,-1,6,-5]
[1,6,2,3,7,-5,4]=>[2,4,5,-1,-7,3,6]
[1,2,7,-4,3,5,6]=>[2,3,6,-5,7,-1,4]
[7,1,2,-4,3,-6,5]=>[3,4,6,-5,-1,-7,2]
[1,-7,2,5,3,4,6]=>[2,4,6,7,5,-1,-3]
[1,-7,2,3,6,4,5]=>[2,4,5,7,-1,6,-3]
[1,7,2,-5,3,-6,4]=>[2,4,6,-1,-5,-7,3]
[5,1,2,-4,7,3,6]=>[3,4,7,-5,2,-1,6]
[1,6,2,-7,-4,3,5]=>[2,4,7,-6,-1,3,-5]
[1,-7,2,5,6,3,4]=>[2,4,7,-1,5,6,-3]
[5,1,2,6,7,-4,3]=>[3,4,-1,-7,2,5,6]
[1,-3,7,2,4,5,6]=>[2,5,-3,6,7,-1,4]
[7,1,-3,2,4,-6,5]=>[3,5,-4,6,-1,-7,2]
[7,1,-3,2,-5,4,6]=>[3,5,-4,7,-6,-1,2]
[1,6,-3,-7,2,4,5]=>[2,6,-4,7,-1,3,-5]
[-6,1,-3,2,7,-5,4]=>[3,5,-4,-1,-7,-2,6]
[1,-7,4,2,3,-6,5]=>[2,5,6,4,-1,-7,-3]
[1,-5,7,2,3,-6,4]=>[2,5,6,-1,-3,-7,4]
[1,7,-4,2,-5,3,6]=>[2,5,7,-4,-6,-1,3]
[5,6,1,-7,2,3,4]=>[4,6,7,-1,2,3,-5]
[6,1,-4,2,7,-5,3]=>[3,5,-1,-4,-7,2,6]
[-4,1,-3,2,7,5,6]=>[3,5,-4,-2,7,-1,6]
[-4,1,7,-3,2,-6,5]=>[3,6,-5,-2,-1,-7,4]
[5,-7,1,-3,2,4,6]=>[4,6,-5,7,2,-1,-3]
[1,-7,6,-3,2,4,5]=>[2,6,-5,7,-1,4,-3]
[-7,1,-3,-5,2,-6,4]=>[3,6,-4,-1,-5,-7,-2]
[-6,-7,1,2,5,3,4]=>[4,5,7,-1,6,-2,-3]
[1,5,7,-4,2,-6,3]=>[2,6,-1,-5,3,-7,4]
[-4,1,5,-3,7,2,6]=>[3,7,-5,-2,4,-1,6]
[-4,1,-3,-7,6,2,5]=>[3,7,-4,-2,-1,6,-5]
[5,-3,-7,1,6,2,4]=>[5,7,-3,-1,2,6,-4]
[-4,1,7,5,6,2,3]=>[3,7,-1,-2,5,6,4]
[-4,1,5,6,7,-3,2]=>[3,-1,-7,-2,4,5,6]
[-2,1,3,4,7,5,6]=>[3,-2,4,5,7,-1,6]
[-2,1,7,3,4,-6,5]=>[3,-2,5,6,-1,-7,4]
[-2,1,7,3,-5,4,6]=>[3,-2,5,7,-6,-1,4]
[-2,1,3,-7,6,4,5]=>[3,-2,4,7,-1,6,-5]
[-2,6,1,3,7,-5,4]=>[4,-2,5,-1,-7,3,6]
[-2,1,7,-4,3,5,6]=>[3,-2,6,-5,7,-1,4]
[7,-2,1,-4,3,-6,5]=>[4,-3,6,-5,-1,-7,2]
[-2,-7,1,5,3,4,6]=>[4,-2,6,7,5,-1,-3]
[-2,-7,1,3,6,4,5]=>[4,-2,5,7,-1,6,-3]
[-2,7,1,-5,3,-6,4]=>[4,-2,6,-1,-5,-7,3]
[5,-2,1,-4,7,3,6]=>[4,-3,7,-5,2,-1,6]
[-2,6,1,-7,-4,3,5]=>[4,-2,7,-6,-1,3,-5]
[-2,-7,1,5,6,3,4]=>[4,-2,7,-1,5,6,-3]
[5,-2,1,6,7,-4,3]=>[4,-3,-1,-7,2,5,6]
[7,3,1,2,4,-6,5]=>[4,5,3,6,-1,-7,2]
[7,3,1,2,-5,4,6]=>[4,5,3,7,-6,-1,2]
[-6,3,1,2,7,-5,4]=>[4,5,3,-1,-7,-2,6]
[7,1,4,2,3,-6,5]=>[3,5,6,4,-1,-7,2]
[1,6,7,2,3,-5,4]=>[2,5,6,-1,-7,3,4]
[-4,1,7,2,-5,3,6]=>[3,5,7,-2,-6,-1,4]
[4,1,6,-7,2,3,5]=>[3,6,7,2,-1,4,-5]
[1,7,2,-5,6,3,4]=>[2,4,7,-1,-5,6,3]
[-4,6,1,2,7,-5,3]=>[4,5,-1,-2,-7,3,6]
[-3,7,1,-4,2,5,6]=>[4,6,-2,-5,7,-1,3]
[-7,-3,1,-4,2,-6,5]=>[4,6,-3,-5,-1,-7,-2]
[7,5,1,-3,2,4,6]=>[4,6,-5,7,3,-1,2]
[7,1,6,-3,2,4,5]=>[3,6,-5,7,-1,4,2]
[-7,-5,1,-3,2,-6,4]=>[4,6,-5,-1,-3,-7,-2]
[7,5,-4,1,2,3,6]=>[5,6,7,-4,3,-1,2]
[7,-4,6,1,2,3,5]=>[5,6,7,-3,-1,4,2]
[-6,1,7,2,5,3,4]=>[3,5,7,-1,6,-2,4]
[-7,-5,1,-6,2,-4,3]=>[4,6,-1,-7,-3,-5,-2]
[-5,-3,1,-4,7,2,6]=>[4,7,-3,-5,-2,-1,6]
[6,-3,1,-7,-4,2,5]=>[4,7,-3,-6,-1,2,-5]
[7,5,1,-3,6,2,4]=>[4,7,-5,-1,3,6,2]
[7,5,-4,1,6,2,3]=>[5,7,-1,-4,3,6,2]
[-5,-3,1,6,7,-4,2]=>[4,-1,-3,-7,-2,5,6]
[3,-2,1,4,7,5,6]=>[4,-3,2,5,7,-1,6]
[3,-2,7,1,4,-6,5]=>[5,-3,2,6,-1,-7,4]
[3,-2,7,1,-5,4,6]=>[5,-3,2,7,-6,-1,4]
[3,-2,1,-7,6,4,5]=>[4,-3,2,7,-1,6,-5]
[3,6,-2,1,7,-5,4]=>[5,-4,2,-1,-7,3,6]
[7,-2,4,1,3,5,6]=>[5,-3,6,4,7,-1,2]
[-2,-7,4,1,3,-6,5]=>[5,-2,6,4,-1,-7,-3]
[7,-2,1,5,3,4,6]=>[4,-3,6,7,5,-1,2]
[-2,1,3,6,7,4,5]=>[3,-2,4,7,-1,5,6]
[-2,-5,7,1,3,-6,4]=>[5,-2,6,-1,-3,-7,4]
[-2,7,-4,1,-5,3,6]=>[5,-2,7,-4,-6,-1,3]
[-4,6,-2,-7,1,3,5]=>[6,-4,7,-2,-1,3,-5]
[5,6,-2,-7,1,3,4]=>[6,-4,7,-1,2,3,-5]
[6,-2,-4,1,7,-5,3]=>[5,-3,-1,-4,-7,2,6]
[7,3,4,1,2,-6,5]=>[5,6,3,4,-1,-7,2]
[5,3,7,1,2,-6,4]=>[5,6,3,-1,2,-7,4]
[-4,-5,7,1,2,-6,3]=>[5,6,-1,-2,-3,-7,4]
[4,-3,7,1,-5,2,6]=>[5,7,-3,2,-6,-1,4]
[4,-3,1,-7,6,2,5]=>[4,7,-3,2,-1,6,-5]
[-3,5,1,-7,6,2,4]=>[4,7,-2,-1,3,6,-5]
[-4,-7,6,-5,1,2,3]=>[6,7,-1,-2,-5,4,-3]
[4,6,-3,1,7,-5,2]=>[5,-1,-4,2,-7,3,6]
[3,4,-2,1,7,5,6]=>[5,-4,2,3,7,-1,6]
[3,4,7,-2,1,-6,5]=>[6,-5,2,3,-1,-7,4]
[3,-7,-2,5,1,4,6]=>[6,-4,2,7,5,-1,-3]
[3,-7,-2,1,6,4,5]=>[5,-4,2,7,-1,6,-3]
[3,7,-2,-5,1,-6,4]=>[6,-4,2,-1,-5,-7,3]
[7,-2,4,5,1,3,6]=>[6,-3,7,4,5,-1,2]
[7,-2,4,1,6,3,5]=>[5,-3,7,4,-1,6,2]
[-6,-7,-2,1,5,3,4]=>[5,-4,7,-1,6,-2,-3]
[-2,5,7,-4,1,-6,3]=>[6,-2,-1,-5,3,-7,4]
[3,-7,6,1,5,2,4]=>[5,7,2,-1,6,4,-3]
[4,5,7,-6,1,-3,2]=>[6,-1,-7,2,3,-5,4]
[3,4,5,-2,7,1,6]=>[7,-5,2,3,4,-1,6]
[3,4,-2,-7,6,1,5]=>[7,-4,2,3,-1,6,-5]
[3,-7,-2,5,6,1,4]=>[7,-4,2,-1,5,6,-3]
[-7,2,4,5,6,1,3]=>[7,3,-1,4,5,6,-2]
[3,4,5,6,7,-2,1]=>[-1,-7,2,3,4,5,6]
[2,1,4,3,6,5,8,7]=>[3,2,5,4,7,6,-1,8]
[3,4,1,2,6,5,8,7]=>[4,5,2,3,7,6,-1,8]
[3,4,2,1,6,5,8,7]=>[5,4,2,3,7,6,-1,8]
[3,5,2,6,1,4,8,7]=>[6,4,2,7,3,5,-1,8]
[3,5,2,6,4,1,8,7]=>[7,4,2,6,3,5,-1,8]
[3,5,2,7,4,8,1,6]=>[8,4,2,6,3,-1,5,7]
[3,5,2,7,4,8,6,1]=>[-1,4,2,6,3,8,5,7]
[4,5,7,2,3,8,6,1]=>[-1,5,6,2,3,8,4,7]
[4,5,7,2,3,8,1,6]=>[8,5,6,2,3,-1,4,7]
[4,5,6,2,3,1,8,7]=>[7,5,6,2,3,4,-1,8]
[4,5,6,2,1,3,8,7]=>[6,5,7,2,3,4,-1,8]
[4,5,6,1,2,3,8,7]=>[5,6,7,2,3,4,-1,8]
[3,5,1,6,2,4,8,7]=>[4,6,2,7,3,5,-1,8]
[2,1,5,6,3,4,8,7]=>[3,2,6,7,4,5,-1,8]
[2,1,5,6,4,3,8,7]=>[3,2,7,6,4,5,-1,8]
[3,5,1,6,4,2,8,7]=>[4,7,2,6,3,5,-1,8]
[4,5,6,1,3,2,8,7]=>[5,7,6,2,3,4,-1,8]
[4,5,6,3,1,2,8,7]=>[6,7,5,2,3,4,-1,8]
[4,5,6,3,2,1,8,7]=>[7,6,5,2,3,4,-1,8]
[4,5,7,3,2,8,1,6]=>[8,6,5,2,3,-1,4,7]
[4,5,7,3,2,8,6,1]=>[-1,6,5,2,3,8,4,7]
[4,6,7,3,8,2,5,1]=>[-1,7,5,2,8,3,4,6]
[4,6,7,3,8,2,1,5]=>[8,7,5,2,-1,3,4,6]
[4,6,7,3,8,1,2,5]=>[7,8,5,2,-1,3,4,6]
[4,5,7,3,1,8,2,6]=>[6,8,5,2,3,-1,4,7]
[4,5,7,1,3,8,2,6]=>[5,8,6,2,3,-1,4,7]
[3,5,1,7,4,8,2,6]=>[4,8,2,6,3,-1,5,7]
[2,1,5,7,4,8,3,6]=>[3,2,8,6,4,-1,5,7]
[2,1,5,7,4,8,6,3]=>[3,2,-1,6,4,8,5,7]
[3,5,1,7,4,8,6,2]=>[4,-1,2,6,3,8,5,7]
[4,5,7,1,3,8,6,2]=>[5,-1,6,2,3,8,4,7]
[4,5,7,3,1,8,6,2]=>[6,-1,5,2,3,8,4,7]
[4,6,7,3,8,1,5,2]=>[7,-1,5,2,8,3,4,6]
[4,6,7,3,8,5,1,2]=>[8,-1,5,2,7,3,4,6]
[4,6,7,3,8,5,2,1]=>[-1,8,5,2,7,3,4,6]
[5,6,7,8,3,4,2,1]=>[-1,8,6,7,2,3,4,5]
[5,6,7,8,3,4,1,2]=>[8,-1,6,7,2,3,4,5]
[5,6,7,8,3,1,4,2]=>[7,-1,6,8,2,3,4,5]
[5,6,7,8,1,3,4,2]=>[6,-1,7,8,2,3,4,5]
[4,6,7,1,8,3,5,2]=>[5,-1,7,2,8,3,4,6]
[3,6,1,7,8,4,5,2]=>[4,-1,2,7,8,3,5,6]
[2,1,6,7,8,4,5,3]=>[3,2,-1,7,8,4,5,6]
[2,1,6,7,8,4,3,5]=>[3,2,8,7,-1,4,5,6]
[3,6,1,7,8,4,2,5]=>[4,8,2,7,-1,3,5,6]
[4,6,7,1,8,3,2,5]=>[5,8,7,2,-1,3,4,6]
[5,6,7,8,1,3,2,4]=>[6,8,7,-1,2,3,4,5]
[5,6,7,8,3,1,2,4]=>[7,8,6,-1,2,3,4,5]
[5,6,7,8,3,2,1,4]=>[8,7,6,-1,2,3,4,5]
[5,6,7,8,3,2,4,1]=>[-1,7,6,8,2,3,4,5]
[5,6,7,8,2,3,4,1]=>[-1,6,7,8,2,3,4,5]
[5,6,7,8,2,3,1,4]=>[8,6,7,-1,2,3,4,5]
[5,6,7,8,2,1,3,4]=>[7,6,8,-1,2,3,4,5]
[5,6,7,8,1,2,3,4]=>[6,7,8,-1,2,3,4,5]
[4,6,7,1,8,2,3,5]=>[5,7,8,2,-1,3,4,6]
[3,6,1,7,8,2,4,5]=>[4,7,2,8,-1,3,5,6]
[2,1,6,7,8,3,4,5]=>[3,2,7,8,-1,4,5,6]
[2,1,5,7,3,8,4,6]=>[3,2,6,8,4,-1,5,7]
[3,5,1,7,2,8,4,6]=>[4,6,2,8,3,-1,5,7]
[4,5,7,1,2,8,3,6]=>[5,6,8,2,3,-1,4,7]
[4,5,7,2,1,8,3,6]=>[6,5,8,2,3,-1,4,7]
[4,6,7,2,8,1,3,5]=>[7,5,8,2,-1,3,4,6]
[4,6,7,2,8,3,1,5]=>[8,5,7,2,-1,3,4,6]
[4,6,7,2,8,3,5,1]=>[-1,5,7,2,8,3,4,6]
[3,6,2,7,8,4,5,1]=>[-1,4,2,7,8,3,5,6]
[3,6,2,7,8,4,1,5]=>[8,4,2,7,-1,3,5,6]
[3,6,2,7,8,1,4,5]=>[7,4,2,8,-1,3,5,6]
[3,5,2,7,1,8,4,6]=>[6,4,2,8,3,-1,5,7]
[3,4,2,1,7,8,5,6]=>[5,4,2,3,8,-1,6,7]
[3,4,1,2,7,8,5,6]=>[4,5,2,3,8,-1,6,7]
[2,1,4,3,7,8,5,6]=>[3,2,5,4,8,-1,6,7]
[2,1,4,3,7,8,6,5]=>[3,2,5,4,-1,8,6,7]
[3,4,1,2,7,8,6,5]=>[4,5,2,3,-1,8,6,7]
[3,4,2,1,7,8,6,5]=>[5,4,2,3,-1,8,6,7]
[3,5,2,7,1,8,6,4]=>[6,4,2,-1,3,8,5,7]
[3,6,2,7,8,1,5,4]=>[7,4,2,-1,8,3,5,6]
[3,6,2,7,8,5,1,4]=>[8,4,2,-1,7,3,5,6]
[3,6,2,7,8,5,4,1]=>[-1,4,2,8,7,3,5,6]
[4,6,7,2,8,5,3,1]=>[-1,5,8,2,7,3,4,6]
[4,6,7,2,8,5,1,3]=>[8,5,-1,2,7,3,4,6]
[4,6,7,2,8,1,5,3]=>[7,5,-1,2,8,3,4,6]
[4,5,7,2,1,8,6,3]=>[6,5,-1,2,3,8,4,7]
[4,5,7,1,2,8,6,3]=>[5,6,-1,2,3,8,4,7]
[3,5,1,7,2,8,6,4]=>[4,6,2,-1,3,8,5,7]
[2,1,5,7,3,8,6,4]=>[3,2,6,-1,4,8,5,7]
[2,1,6,7,8,3,5,4]=>[3,2,7,-1,8,4,5,6]
[3,6,1,7,8,2,5,4]=>[4,7,2,-1,8,3,5,6]
[4,6,7,1,8,2,5,3]=>[5,7,-1,2,8,3,4,6]
[5,6,7,8,1,2,4,3]=>[6,7,-1,8,2,3,4,5]
[5,6,7,8,2,1,4,3]=>[7,6,-1,8,2,3,4,5]
[5,6,7,8,2,4,1,3]=>[8,6,-1,7,2,3,4,5]
[5,6,7,8,2,4,3,1]=>[-1,6,8,7,2,3,4,5]
[5,6,7,8,4,2,3,1]=>[-1,7,8,6,2,3,4,5]
[5,6,7,8,4,2,1,3]=>[8,7,-1,6,2,3,4,5]
[5,6,7,8,4,1,2,3]=>[7,8,-1,6,2,3,4,5]
[5,6,7,8,1,4,2,3]=>[6,8,-1,7,2,3,4,5]
[4,6,7,1,8,5,2,3]=>[5,8,-1,2,7,3,4,6]
[3,6,1,7,8,5,2,4]=>[4,8,2,-1,7,3,5,6]
[2,1,6,7,8,5,3,4]=>[3,2,8,-1,7,4,5,6]
[2,1,6,7,8,5,4,3]=>[3,2,-1,8,7,4,5,6]
[3,6,1,7,8,5,4,2]=>[4,-1,2,8,7,3,5,6]
[4,6,7,1,8,5,3,2]=>[5,-1,8,2,7,3,4,6]
[5,6,7,8,1,4,3,2]=>[6,-1,8,7,2,3,4,5]
[5,6,7,8,4,1,3,2]=>[7,-1,8,6,2,3,4,5]
[5,6,7,8,4,3,1,2]=>[8,-1,7,6,2,3,4,5]
[5,6,7,8,4,3,2,1]=>[-1,8,7,6,2,3,4,5]
[4,3,2,1,6,5,8,7]=>[5,4,3,2,7,6,-1,8]
[5,3,2,6,1,4,8,7]=>[6,4,3,7,2,5,-1,8]
[6,3,2,5,4,1,8,7]=>[7,4,3,6,5,2,-1,8]
[7,3,2,5,4,8,1,6]=>[8,4,3,6,5,-1,2,7]
[8,3,2,5,4,7,6,1]=>[-1,4,3,6,5,8,7,2]
[8,4,5,2,3,7,6,1]=>[-1,5,6,3,4,8,7,2]
[7,4,5,2,3,8,1,6]=>[8,5,6,3,4,-1,2,7]
[6,4,5,2,3,1,8,7]=>[7,5,6,3,4,2,-1,8]
[5,4,6,2,1,3,8,7]=>[6,5,7,3,2,4,-1,8]
[2,1,6,5,4,3,8,7]=>[3,2,7,6,5,4,-1,8]
[3,6,1,5,4,2,8,7]=>[4,7,2,6,5,3,-1,8]
[4,6,5,1,3,2,8,7]=>[5,7,6,2,4,3,-1,8]
[5,6,4,3,1,2,8,7]=>[6,7,5,4,2,3,-1,8]
[6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,-1,8]
[7,5,4,3,2,8,1,6]=>[8,6,5,4,3,-1,2,7]
[8,5,4,3,2,7,6,1]=>[-1,6,5,4,3,8,7,2]
[8,6,4,3,7,2,5,1]=>[-1,7,5,4,8,3,6,2]
[7,6,4,3,8,2,1,5]=>[8,7,5,4,-1,3,2,6]
[6,7,4,3,8,1,2,5]=>[7,8,5,4,-1,2,3,6]
[5,7,4,3,1,8,2,6]=>[6,8,5,4,2,-1,3,7]
[4,7,5,1,3,8,2,6]=>[5,8,6,2,4,-1,3,7]
[3,7,1,5,4,8,2,6]=>[4,8,2,6,5,-1,3,7]
[2,1,7,5,4,8,3,6]=>[3,2,8,6,5,-1,4,7]
[2,1,8,5,4,7,6,3]=>[3,2,-1,6,5,8,7,4]
[3,8,1,5,4,7,6,2]=>[4,-1,2,6,5,8,7,3]
[4,8,5,1,3,7,6,2]=>[5,-1,6,2,4,8,7,3]
[5,8,4,3,1,7,6,2]=>[6,-1,5,4,2,8,7,3]
[6,8,4,3,7,1,5,2]=>[7,-1,5,4,8,2,6,3]
[7,8,4,3,6,5,1,2]=>[8,-1,5,4,7,6,2,3]
[8,7,4,3,6,5,2,1]=>[-1,8,5,4,7,6,3,2]
[8,7,5,6,3,4,2,1]=>[-1,8,6,7,4,5,3,2]
[7,8,5,6,3,4,1,2]=>[8,-1,6,7,4,5,2,3]
[6,8,5,7,3,1,4,2]=>[7,-1,6,8,4,2,5,3]
[5,8,6,7,1,3,4,2]=>[6,-1,7,8,2,4,5,3]
[4,8,6,1,7,3,5,2]=>[5,-1,7,2,8,4,6,3]
[3,8,1,6,7,4,5,2]=>[4,-1,2,7,8,5,6,3]
[2,1,8,6,7,4,5,3]=>[3,2,-1,7,8,5,6,4]
[2,1,7,6,8,4,3,5]=>[3,2,8,7,-1,5,4,6]
[3,7,1,6,8,4,2,5]=>[4,8,2,7,-1,5,3,6]
[4,7,6,1,8,3,2,5]=>[5,8,7,2,-1,4,3,6]
[5,7,6,8,1,3,2,4]=>[6,8,7,-1,2,4,3,5]
[6,7,5,8,3,1,2,4]=>[7,8,6,-1,4,2,3,5]
[7,6,5,8,3,2,1,4]=>[8,7,6,-1,4,3,2,5]
[8,6,5,7,3,2,4,1]=>[-1,7,6,8,4,3,5,2]
[8,5,6,7,2,3,4,1]=>[-1,6,7,8,3,4,5,2]
[7,5,6,8,2,3,1,4]=>[8,6,7,-1,3,4,2,5]
[6,5,7,8,2,1,3,4]=>[7,6,8,-1,3,2,4,5]
[5,4,7,2,1,8,3,6]=>[6,5,8,3,2,-1,4,7]
[6,4,7,2,8,1,3,5]=>[7,5,8,3,-1,2,4,6]
[7,4,6,2,8,3,1,5]=>[8,5,7,3,-1,4,2,6]
[8,4,6,2,7,3,5,1]=>[-1,5,7,3,8,4,6,2]
[8,3,2,6,7,4,5,1]=>[-1,4,3,7,8,5,6,2]
[7,3,2,6,8,4,1,5]=>[8,4,3,7,-1,5,2,6]
[6,3,2,7,8,1,4,5]=>[7,4,3,8,-1,2,5,6]
[5,3,2,7,1,8,4,6]=>[6,4,3,8,2,-1,5,7]
[4,3,2,1,7,8,5,6]=>[5,4,3,2,8,-1,6,7]
[2,1,4,3,8,7,6,5]=>[3,2,5,4,-1,8,7,6]
[3,4,1,2,8,7,6,5]=>[4,5,2,3,-1,8,7,6]
[4,3,2,1,8,7,6,5]=>[5,4,3,2,-1,8,7,6]
[5,3,2,8,1,7,6,4]=>[6,4,3,-1,2,8,7,5]
[6,3,2,8,7,1,5,4]=>[7,4,3,-1,8,2,6,5]
[7,3,2,8,6,5,1,4]=>[8,4,3,-1,7,6,2,5]
[8,3,2,7,6,5,4,1]=>[-1,4,3,8,7,6,5,2]
[8,4,7,2,6,5,3,1]=>[-1,5,8,3,7,6,4,2]
[7,4,8,2,6,5,1,3]=>[8,5,-1,3,7,6,2,4]
[6,4,8,2,7,1,5,3]=>[7,5,-1,3,8,2,6,4]
[5,4,8,2,1,7,6,3]=>[6,5,-1,3,2,8,7,4]
[4,5,8,1,2,7,6,3]=>[5,6,-1,2,3,8,7,4]
[3,5,1,8,2,7,6,4]=>[4,6,2,-1,3,8,7,5]
[2,1,5,8,3,7,6,4]=>[3,2,6,-1,4,8,7,5]
[2,1,6,8,7,3,5,4]=>[3,2,7,-1,8,4,6,5]
[3,6,1,8,7,2,5,4]=>[4,7,2,-1,8,3,6,5]
[4,6,8,1,7,2,5,3]=>[5,7,-1,2,8,3,6,4]
[5,6,8,7,1,2,4,3]=>[6,7,-1,8,2,3,5,4]
[6,5,8,7,2,1,4,3]=>[7,6,-1,8,3,2,5,4]
[7,5,8,6,2,4,1,3]=>[8,6,-1,7,3,5,2,4]
[8,5,7,6,2,4,3,1]=>[-1,6,8,7,3,5,4,2]
[8,6,7,5,4,2,3,1]=>[-1,7,8,6,5,3,4,2]
[7,6,8,5,4,2,1,3]=>[8,7,-1,6,5,3,2,4]
[6,7,8,5,4,1,2,3]=>[7,8,-1,6,5,2,3,4]
[5,7,8,6,1,4,2,3]=>[6,8,-1,7,2,5,3,4]
[4,7,8,1,6,5,2,3]=>[5,8,-1,2,7,6,3,4]
[3,7,1,8,6,5,2,4]=>[4,8,2,-1,7,6,3,5]
[2,1,7,8,6,5,3,4]=>[3,2,8,-1,7,6,4,5]
[2,1,8,7,6,5,4,3]=>[3,2,-1,8,7,6,5,4]
[3,8,1,7,6,5,4,2]=>[4,-1,2,8,7,6,5,3]
[4,8,7,1,6,5,3,2]=>[5,-1,8,2,7,6,4,3]
[5,8,7,6,1,4,3,2]=>[6,-1,8,7,2,5,4,3]
[6,8,7,5,4,1,3,2]=>[7,-1,8,6,5,2,4,3]
[7,8,6,5,4,3,1,2]=>[8,-1,7,6,5,4,2,3]
[8,7,6,5,4,3,2,1]=>[-1,8,7,6,5,4,3,2]
[7,8,5,6,2,1,4,3]=>[7,6,-1,8,4,5,2,3]
[7,8,5,6,1,2,4,3]=>[6,7,-1,8,4,5,2,3]
[7,8,4,1,6,2,5,3]=>[5,7,-1,4,8,6,2,3]
[7,8,1,4,6,2,5,3]=>[4,7,-1,5,8,6,2,3]
[6,1,8,4,7,2,5,3]=>[3,7,-1,5,8,2,6,4]
[1,6,8,4,7,2,5,3]=>[2,7,-1,5,8,3,6,4]
[1,6,8,3,2,7,5,4]=>[2,6,5,-1,8,3,7,4]
[6,1,8,3,2,7,5,4]=>[3,6,5,-1,8,2,7,4]
[7,8,1,3,2,6,5,4]=>[4,6,5,-1,8,7,2,3]
[7,8,3,1,2,6,5,4]=>[5,6,4,-1,8,7,2,3]
[7,8,3,2,1,6,5,4]=>[6,5,4,-1,8,7,2,3]
[7,8,4,2,6,1,5,3]=>[7,5,-1,4,8,6,2,3]
[7,8,3,4,6,5,1,2]=>[8,-1,4,5,7,6,2,3]
[7,8,2,4,6,1,5,3]=>[7,4,-1,5,8,6,2,3]
[7,8,2,3,1,6,5,4]=>[6,4,5,-1,8,7,2,3]
[7,8,2,1,3,6,5,4]=>[5,4,6,-1,8,7,2,3]
[7,8,1,2,3,6,5,4]=>[4,5,6,-1,8,7,2,3]
[6,1,8,2,3,7,5,4]=>[3,5,6,-1,8,2,7,4]
[1,6,8,2,3,7,5,4]=>[2,5,6,-1,8,3,7,4]
[1,5,2,8,3,7,6,4]=>[2,4,6,-1,3,8,7,5]
[5,1,2,8,3,7,6,4]=>[3,4,6,-1,2,8,7,5]
[5,2,1,8,3,7,6,4]=>[4,3,6,-1,2,8,7,5]
[6,2,8,1,3,7,5,4]=>[5,3,6,-1,8,2,7,4]
[6,2,8,3,1,7,5,4]=>[6,3,5,-1,8,2,7,4]
[6,2,8,4,7,1,5,3]=>[7,3,-1,5,8,2,6,4]
[6,3,8,4,7,5,1,2]=>[8,-1,3,5,7,2,6,4]
[3,6,8,4,7,5,1,2]=>[8,-1,2,5,7,3,6,4]
[2,6,8,4,7,1,5,3]=>[7,2,-1,5,8,3,6,4]
[2,6,8,3,1,7,5,4]=>[6,2,5,-1,8,3,7,4]
[2,6,8,1,3,7,5,4]=>[5,2,6,-1,8,3,7,4]
[2,5,1,8,3,7,6,4]=>[4,2,6,-1,3,8,7,5]
[1,2,5,8,3,7,6,4]=>[2,3,6,-1,4,8,7,5]
[1,2,4,3,8,7,6,5]=>[2,3,5,4,-1,8,7,6]
[2,4,1,3,8,7,6,5]=>[4,2,5,3,-1,8,7,6]
[2,4,3,1,8,7,6,5]=>[5,2,4,3,-1,8,7,6]
[2,5,3,8,1,7,6,4]=>[6,2,4,-1,3,8,7,5]
[2,5,4,8,7,1,6,3]=>[7,2,-1,4,3,8,6,5]
[3,5,4,8,7,6,1,2]=>[8,-1,2,4,3,7,6,5]
[5,3,4,8,7,6,1,2]=>[8,-1,3,4,2,7,6,5]
[5,2,4,8,7,1,6,3]=>[7,3,-1,4,2,8,6,5]
[5,2,3,8,1,7,6,4]=>[6,3,4,-1,2,8,7,5]
[4,2,3,1,8,7,6,5]=>[5,3,4,2,-1,8,7,6]
[4,2,1,3,8,7,6,5]=>[4,3,5,2,-1,8,7,6]
[4,1,2,3,8,7,6,5]=>[3,4,5,2,-1,8,7,6]
[1,4,2,3,8,7,6,5]=>[2,4,5,3,-1,8,7,6]
[1,4,3,2,8,7,6,5]=>[2,5,4,3,-1,8,7,6]
[4,1,3,2,8,7,6,5]=>[3,5,4,2,-1,8,7,6]
[4,3,1,2,8,7,6,5]=>[4,5,3,2,-1,8,7,6]
[5,4,2,8,7,1,6,3]=>[7,4,-1,3,2,8,6,5]
[5,4,3,8,7,6,1,2]=>[8,-1,4,3,2,7,6,5]
[6,4,8,3,7,5,1,2]=>[8,-1,5,3,7,2,6,4]
[6,3,8,2,1,7,5,4]=>[6,5,3,-1,8,2,7,4]
[6,3,8,1,2,7,5,4]=>[5,6,3,-1,8,2,7,4]
[5,3,1,8,2,7,6,4]=>[4,6,3,-1,2,8,7,5]
[5,1,3,8,2,7,6,4]=>[3,6,4,-1,2,8,7,5]
[1,5,3,8,2,7,6,4]=>[2,6,4,-1,3,8,7,5]
[1,5,4,8,7,2,6,3]=>[2,7,-1,4,3,8,6,5]
[5,1,4,8,7,2,6,3]=>[3,7,-1,4,2,8,6,5]
[5,4,1,8,7,2,6,3]=>[4,7,-1,3,2,8,6,5]
[6,4,8,1,7,2,5,3]=>[5,7,-1,3,8,2,6,4]
[6,5,8,7,1,2,4,3]=>[6,7,-1,8,3,2,5,4]
[6,5,8,7,3,4,1,2]=>[8,-1,6,7,3,2,5,4]
[5,6,8,7,3,4,1,2]=>[8,-1,6,7,2,3,5,4]
[5,6,8,7,2,1,4,3]=>[7,6,-1,8,2,3,5,4]
[4,5,1,8,7,2,6,3]=>[4,7,-1,2,3,8,6,5]
[4,1,5,8,7,2,6,3]=>[3,7,-1,2,4,8,6,5]
[1,4,5,8,7,2,6,3]=>[2,7,-1,3,4,8,6,5]
[1,3,5,8,2,7,6,4]=>[2,6,3,-1,4,8,7,5]
[3,1,5,8,2,7,6,4]=>[3,6,2,-1,4,8,7,5]
[3,6,8,1,2,7,5,4]=>[5,6,2,-1,8,3,7,4]
[3,6,8,2,1,7,5,4]=>[6,5,2,-1,8,3,7,4]
[4,6,8,2,7,1,5,3]=>[7,5,-1,2,8,3,6,4]
[4,6,8,3,7,5,1,2]=>[8,-1,5,2,7,3,6,4]
[4,5,3,8,7,6,1,2]=>[8,-1,4,2,3,7,6,5]
[4,5,2,8,7,1,6,3]=>[7,4,-1,2,3,8,6,5]
[3,5,2,8,1,7,6,4]=>[6,4,2,-1,3,8,7,5]
[3,4,2,1,8,7,6,5]=>[5,4,2,3,-1,8,7,6]
[3,1,4,2,8,7,6,5]=>[3,5,2,4,-1,8,7,6]
[1,3,4,2,8,7,6,5]=>[2,5,3,4,-1,8,7,6]
[1,3,2,4,8,7,6,5]=>[2,4,3,5,-1,8,7,6]
[3,1,2,4,8,7,6,5]=>[3,4,2,5,-1,8,7,6]
[3,2,1,4,8,7,6,5]=>[4,3,2,5,-1,8,7,6]
[3,2,4,1,8,7,6,5]=>[5,3,2,4,-1,8,7,6]
[3,2,5,8,1,7,6,4]=>[6,3,2,-1,4,8,7,5]
[4,2,5,8,7,1,6,3]=>[7,3,-1,2,4,8,6,5]
[4,3,5,8,7,6,1,2]=>[8,-1,3,2,4,7,6,5]
[3,4,5,8,7,6,1,2]=>[8,-1,2,3,4,7,6,5]
[2,4,5,8,7,1,6,3]=>[7,2,-1,3,4,8,6,5]
[2,3,5,8,1,7,6,4]=>[6,2,3,-1,4,8,7,5]
[2,3,4,1,8,7,6,5]=>[5,2,3,4,-1,8,7,6]
[2,3,1,4,8,7,6,5]=>[4,2,3,5,-1,8,7,6]
[2,1,3,4,8,7,6,5]=>[3,2,4,5,-1,8,7,6]
[1,2,3,4,8,7,6,5]=>[2,3,4,5,-1,8,7,6]
[7,8,5,6,1,2,3,4]=>[6,7,8,-1,4,5,2,3]
[7,8,4,1,6,2,3,5]=>[5,7,8,4,-1,6,2,3]
[7,8,1,4,5,2,3,6]=>[4,7,8,5,6,-1,2,3]
[6,1,8,4,5,2,3,7]=>[3,7,8,5,6,2,-1,4]
[1,6,7,4,5,2,3,8]=>[2,7,8,5,6,3,4,-1]
[1,6,7,3,2,5,4,8]=>[2,6,5,8,7,3,4,-1]
[6,1,8,3,2,5,4,7]=>[3,6,5,8,7,2,-1,4]
[7,8,1,3,2,5,4,6]=>[4,6,5,8,7,-1,2,3]
[7,8,3,1,2,6,4,5]=>[5,6,4,8,-1,7,2,3]
[7,8,3,4,5,6,1,2]=>[8,-1,4,5,6,7,2,3]
[7,8,2,4,5,1,6,3]=>[7,4,-1,5,6,8,2,3]
[7,8,2,3,1,5,6,4]=>[6,4,5,-1,7,8,2,3]
[7,8,2,1,3,4,6,5]=>[5,4,6,7,-1,8,2,3]
[7,8,1,2,3,4,5,6]=>[4,5,6,7,8,-1,2,3]
[6,1,8,2,3,4,5,7]=>[3,5,6,7,8,2,-1,4]
[1,6,7,2,3,4,5,8]=>[2,5,6,7,8,3,4,-1]
[1,5,2,7,3,4,6,8]=>[2,4,6,7,3,8,5,-1]
[5,1,2,8,3,4,6,7]=>[3,4,6,7,2,8,-1,5]
[5,2,1,8,3,4,7,6]=>[4,3,6,7,2,-1,8,5]
[6,2,8,1,3,4,7,5]=>[5,3,6,7,-1,2,8,4]
[6,2,8,3,1,5,7,4]=>[6,3,5,-1,7,2,8,4]
[6,2,8,4,5,1,7,3]=>[7,3,-1,5,6,2,8,4]
[6,3,8,4,5,7,1,2]=>[8,-1,3,5,6,2,7,4]
[3,6,7,4,5,8,1,2]=>[8,-1,2,5,6,3,4,7]
[2,6,7,4,5,1,8,3]=>[7,2,-1,5,6,3,4,8]
[2,6,7,3,1,5,8,4]=>[6,2,5,-1,7,3,4,8]
[2,6,7,1,3,4,8,5]=>[5,2,6,7,-1,3,4,8]
[2,5,1,7,3,4,8,6]=>[4,2,6,7,3,-1,5,8]
[1,2,5,6,3,4,7,8]=>[2,3,6,7,4,5,8,-1]
[1,2,4,3,6,5,7,8]=>[2,3,5,4,7,6,8,-1]
[2,4,1,3,7,5,8,6]=>[4,2,5,3,7,-1,6,8]
[2,4,3,1,7,6,8,5]=>[5,2,4,3,-1,7,6,8]
[2,5,3,7,1,6,8,4]=>[6,2,4,-1,3,7,5,8]
[2,5,4,7,6,1,8,3]=>[7,2,-1,4,3,6,5,8]
[3,5,4,7,6,8,1,2]=>[8,-1,2,4,3,6,5,7]
[5,3,4,8,6,7,1,2]=>[8,-1,3,4,2,6,7,5]
[5,2,4,8,6,1,7,3]=>[7,3,-1,4,2,6,8,5]
[5,2,3,8,1,6,7,4]=>[6,3,4,-1,2,7,8,5]
[4,2,3,1,8,6,7,5]=>[5,3,4,2,-1,7,8,6]
[4,2,1,3,8,5,7,6]=>[4,3,5,2,7,-1,8,6]
[4,1,2,3,8,5,6,7]=>[3,4,5,2,7,8,-1,6]
[1,4,2,3,7,5,6,8]=>[2,4,5,3,7,8,6,-1]
[1,4,3,2,7,6,5,8]=>[2,5,4,3,8,7,6,-1]
[4,1,3,2,8,6,5,7]=>[3,5,4,2,8,7,-1,6]
[4,3,1,2,8,7,5,6]=>[4,5,3,2,8,-1,7,6]
[6,3,8,1,2,7,4,5]=>[5,6,3,8,-1,2,7,4]
[5,3,1,8,2,7,4,6]=>[4,6,3,8,2,-1,7,5]
[5,1,3,8,2,6,4,7]=>[3,6,4,8,2,7,-1,5]
[1,5,3,7,2,6,4,8]=>[2,6,4,8,3,7,5,-1]
[1,5,4,7,6,2,3,8]=>[2,7,8,4,3,6,5,-1]
[5,1,4,8,6,2,3,7]=>[3,7,8,4,2,6,-1,5]
[5,4,1,8,7,2,3,6]=>[4,7,8,3,2,-1,6,5]
[6,4,8,1,7,2,3,5]=>[5,7,8,3,-1,2,6,4]
[6,5,8,7,1,2,3,4]=>[6,7,8,-1,3,2,5,4]
[4,5,1,7,8,2,3,6]=>[4,7,8,2,3,-1,5,6]
[4,1,5,6,8,2,3,7]=>[3,7,8,2,4,5,-1,6]
[1,4,5,6,7,2,3,8]=>[2,7,8,3,4,5,6,-1]
[1,3,5,6,2,7,4,8]=>[2,6,3,8,4,5,7,-1]
[3,1,5,6,2,8,4,7]=>[3,6,2,8,4,5,-1,7]
[3,6,7,1,2,8,4,5]=>[5,6,2,8,-1,3,4,7]
[3,6,7,2,1,8,5,4]=>[6,5,2,-1,8,3,4,7]
[4,5,3,7,8,6,1,2]=>[8,-1,4,2,3,7,5,6]
[4,5,2,7,8,1,6,3]=>[7,4,-1,2,3,8,5,6]
[3,1,4,2,6,8,5,7]=>[3,5,2,4,8,6,-1,7]
[1,3,4,2,6,7,5,8]=>[2,5,3,4,8,6,7,-1]
[1,3,2,4,5,7,6,8]=>[2,4,3,5,6,8,7,-1]
[3,1,2,4,5,8,6,7]=>[3,4,2,5,6,8,-1,7]
[3,2,1,4,5,8,7,6]=>[4,3,2,5,6,-1,8,7]
[3,2,4,1,6,8,7,5]=>[5,3,2,4,-1,6,8,7]
[3,2,5,6,1,8,7,4]=>[6,3,2,-1,4,5,8,7]
[4,2,5,6,8,1,7,3]=>[7,3,-1,2,4,5,8,6]
[4,3,5,6,8,7,1,2]=>[8,-1,3,2,4,5,7,6]
[3,4,5,6,7,8,1,2]=>[8,-1,2,3,4,5,6,7]
[2,4,5,6,7,1,8,3]=>[7,2,-1,3,4,5,6,8]
[2,3,5,6,1,7,8,4]=>[6,2,3,-1,4,5,7,8]
[2,3,4,1,6,7,8,5]=>[5,2,3,4,-1,6,7,8]
[2,3,1,4,5,7,8,6]=>[4,2,3,5,6,-1,7,8]
[2,1,3,4,5,6,8,7]=>[3,2,4,5,6,7,-1,8]
[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,-1]
[4,3,1,2,6,5,8,7]=>[4,5,3,2,7,6,-1,8]
[5,3,1,6,2,4,8,7]=>[4,6,3,7,2,5,-1,8]
[6,3,1,5,2,4,8,7]=>[4,6,3,7,5,2,-1,8]
[7,3,1,5,2,8,4,6]=>[4,6,3,8,5,-1,2,7]
[8,3,1,5,2,7,4,6]=>[4,6,3,8,5,-1,7,2]
[8,4,5,1,2,7,3,6]=>[5,6,8,3,4,-1,7,2]
[7,4,5,1,2,8,3,6]=>[5,6,8,3,4,-1,2,7]
[6,4,5,1,2,3,8,7]=>[5,6,7,3,4,2,-1,8]
[5,4,6,1,2,3,8,7]=>[5,6,7,3,2,4,-1,8]
[2,1,6,5,3,4,8,7]=>[3,2,6,7,5,4,-1,8]
[3,6,1,5,2,4,8,7]=>[4,6,2,7,5,3,-1,8]
[4,6,5,1,2,3,8,7]=>[5,6,7,2,4,3,-1,8]
[5,6,4,1,2,3,8,7]=>[5,6,7,4,2,3,-1,8]
[6,5,4,1,2,3,8,7]=>[5,6,7,4,3,2,-1,8]
[7,5,4,1,2,8,3,6]=>[5,6,8,4,3,-1,2,7]
[8,5,4,1,2,7,3,6]=>[5,6,8,4,3,-1,7,2]
[8,6,4,1,7,2,3,5]=>[5,7,8,4,-1,3,6,2]
[7,6,4,1,8,2,3,5]=>[5,7,8,4,-1,3,2,6]
[6,7,4,1,8,2,3,5]=>[5,7,8,4,-1,2,3,6]
[5,7,4,1,2,8,3,6]=>[5,6,8,4,2,-1,3,7]
[4,7,5,1,2,8,3,6]=>[5,6,8,2,4,-1,3,7]
[3,7,1,5,2,8,4,6]=>[4,6,2,8,5,-1,3,7]
[2,1,7,5,3,8,4,6]=>[3,2,6,8,5,-1,4,7]
[2,1,8,5,3,7,4,6]=>[3,2,6,8,5,-1,7,4]
[3,8,1,5,2,7,4,6]=>[4,6,2,8,5,-1,7,3]
[4,8,5,1,2,7,3,6]=>[5,6,8,2,4,-1,7,3]
[5,8,4,1,2,7,3,6]=>[5,6,8,4,2,-1,7,3]
[6,8,4,1,7,2,3,5]=>[5,7,8,4,-1,2,6,3]
[8,7,4,1,6,2,3,5]=>[5,7,8,4,-1,6,3,2]
[8,7,5,6,1,2,3,4]=>[6,7,8,-1,4,5,3,2]
[6,8,5,7,1,2,3,4]=>[6,7,8,-1,4,2,5,3]
[5,8,6,7,1,2,3,4]=>[6,7,8,-1,2,4,5,3]
[4,8,6,1,7,2,3,5]=>[5,7,8,2,-1,4,6,3]
[3,8,1,6,7,2,4,5]=>[4,7,2,8,-1,5,6,3]
[2,1,8,6,7,3,4,5]=>[3,2,7,8,-1,5,6,4]
[2,1,7,6,8,3,4,5]=>[3,2,7,8,-1,5,4,6]
[3,7,1,6,8,2,4,5]=>[4,7,2,8,-1,5,3,6]
[4,7,6,1,8,2,3,5]=>[5,7,8,2,-1,4,3,6]
[5,7,6,8,1,2,3,4]=>[6,7,8,-1,2,4,3,5]
[6,7,5,8,1,2,3,4]=>[6,7,8,-1,4,2,3,5]
[7,6,5,8,1,2,3,4]=>[6,7,8,-1,4,3,2,5]
[8,6,5,7,1,2,3,4]=>[6,7,8,-1,4,3,5,2]
[8,5,6,7,1,2,3,4]=>[6,7,8,-1,3,4,5,2]
[7,5,6,8,1,2,3,4]=>[6,7,8,-1,3,4,2,5]
[6,5,7,8,1,2,3,4]=>[6,7,8,-1,3,2,4,5]
[5,4,7,1,2,8,3,6]=>[5,6,8,3,2,-1,4,7]
[6,4,7,1,8,2,3,5]=>[5,7,8,3,-1,2,4,6]
[7,4,6,1,8,2,3,5]=>[5,7,8,3,-1,4,2,6]
[8,4,6,1,7,2,3,5]=>[5,7,8,3,-1,4,6,2]
[8,3,1,6,7,2,4,5]=>[4,7,3,8,-1,5,6,2]
[7,3,1,6,8,2,4,5]=>[4,7,3,8,-1,5,2,6]
[6,3,1,7,8,2,4,5]=>[4,7,3,8,-1,2,5,6]
[5,3,1,7,2,8,4,6]=>[4,6,3,8,2,-1,5,7]
[4,3,1,2,7,8,5,6]=>[4,5,3,2,8,-1,6,7]
[2,1,4,3,8,7,5,6]=>[3,2,5,4,8,-1,7,6]
[3,4,1,2,8,7,5,6]=>[4,5,2,3,8,-1,7,6]
[6,3,1,8,7,2,4,5]=>[4,7,3,8,-1,2,6,5]
[7,3,1,8,6,2,4,5]=>[4,7,3,8,-1,6,2,5]
[8,3,1,7,6,2,4,5]=>[4,7,3,8,-1,6,5,2]
[8,4,7,1,6,2,3,5]=>[5,7,8,3,-1,6,4,2]
[7,4,8,1,6,2,3,5]=>[5,7,8,3,-1,6,2,4]
[5,4,8,1,2,7,3,6]=>[5,6,8,3,2,-1,7,4]
[4,5,8,1,2,7,3,6]=>[5,6,8,2,3,-1,7,4]
[3,5,1,8,2,7,4,6]=>[4,6,2,8,3,-1,7,5]
[2,1,5,8,3,7,4,6]=>[3,2,6,8,4,-1,7,5]
[2,1,6,8,7,3,4,5]=>[3,2,7,8,-1,4,6,5]
[3,6,1,8,7,2,4,5]=>[4,7,2,8,-1,3,6,5]
[4,6,8,1,7,2,3,5]=>[5,7,8,2,-1,3,6,4]
[5,6,8,7,1,2,3,4]=>[6,7,8,-1,2,3,5,4]
[7,5,8,6,1,2,3,4]=>[6,7,8,-1,3,5,2,4]
[8,5,7,6,1,2,3,4]=>[6,7,8,-1,3,5,4,2]
[8,6,7,5,1,2,3,4]=>[6,7,8,-1,5,3,4,2]
[7,6,8,5,1,2,3,4]=>[6,7,8,-1,5,3,2,4]
[6,7,8,5,1,2,3,4]=>[6,7,8,-1,5,2,3,4]
[5,7,8,6,1,2,3,4]=>[6,7,8,-1,2,5,3,4]
[4,7,8,1,6,2,3,5]=>[5,7,8,2,-1,6,3,4]
[3,7,1,8,6,2,4,5]=>[4,7,2,8,-1,6,3,5]
[2,1,7,8,6,3,4,5]=>[3,2,7,8,-1,6,4,5]
[2,1,8,7,6,3,4,5]=>[3,2,7,8,-1,6,5,4]
[3,8,1,7,6,2,4,5]=>[4,7,2,8,-1,6,5,3]
[4,8,7,1,6,2,3,5]=>[5,7,8,2,-1,6,4,3]
[5,8,7,6,1,2,3,4]=>[6,7,8,-1,2,5,4,3]
[6,8,7,5,1,2,3,4]=>[6,7,8,-1,5,2,4,3]
[7,8,6,5,1,2,3,4]=>[6,7,8,-1,5,4,2,3]
[8,7,6,5,1,2,3,4]=>[6,7,8,-1,5,4,3,2]
[6,5,7,8,3,4,1,2]=>[8,-1,6,7,3,2,4,5]
[6,4,7,3,8,5,1,2]=>[8,-1,5,3,7,2,4,6]
[6,4,7,3,5,8,1,2]=>[8,-1,5,3,6,2,4,7]
[6,4,7,2,5,1,8,3]=>[7,5,-1,3,6,2,4,8]
[6,4,7,2,5,1,3,8]=>[7,5,8,3,6,2,4,-1]
[5,4,2,7,6,1,3,8]=>[7,4,8,3,2,6,5,-1]
[5,4,2,7,6,1,8,3]=>[7,4,-1,3,2,6,5,8]
[5,4,3,7,6,8,1,2]=>[8,-1,4,3,2,6,5,7]
[5,4,3,7,8,6,1,2]=>[8,-1,4,3,2,7,5,6]
[7,8,4,3,5,6,1,2]=>[8,-1,5,4,6,7,2,3]
[6,4,8,3,5,7,1,2]=>[8,-1,5,3,6,2,7,4]
[5,4,3,8,6,7,1,2]=>[8,-1,4,3,2,6,7,5]
[5,4,3,6,8,7,1,2]=>[8,-1,4,3,2,5,7,6]
[5,4,3,6,7,8,1,2]=>[8,-1,4,3,2,5,6,7]
[5,4,2,6,7,1,8,3]=>[7,4,-1,3,2,5,6,8]
[5,4,2,6,7,1,3,8]=>[7,4,8,3,2,5,6,-1]
[5,3,2,6,1,7,4,8]=>[6,4,3,8,2,5,7,-1]
[5,3,2,6,1,7,8,4]=>[6,4,3,-1,2,5,7,8]
[5,3,2,6,1,8,7,4]=>[6,4,3,-1,2,5,8,7]
[5,4,2,6,8,1,7,3]=>[7,4,-1,3,2,5,8,6]
[5,4,2,8,6,1,7,3]=>[7,4,-1,3,2,6,8,5]
[6,4,8,2,5,1,7,3]=>[7,5,-1,3,6,2,8,4]
[7,8,4,2,5,1,6,3]=>[7,5,-1,4,6,8,2,3]
[7,8,4,2,5,1,3,6]=>[7,5,8,4,6,-1,2,3]
[6,4,8,2,5,1,3,7]=>[7,5,8,3,6,2,-1,4]
[5,4,2,8,6,1,3,7]=>[7,4,8,3,2,6,-1,5]
[5,4,2,6,8,1,3,7]=>[7,4,8,3,2,5,-1,6]
[5,3,2,6,1,8,4,7]=>[6,4,3,8,2,5,-1,7]
[5,3,2,6,1,4,7,8]=>[6,4,3,7,2,5,8,-1]
[4,3,2,1,6,5,7,8]=>[5,4,3,2,7,6,8,-1]
[4,3,2,1,6,8,5,7]=>[5,4,3,2,8,6,-1,7]
[4,3,2,1,8,6,5,7]=>[5,4,3,2,8,7,-1,6]
[5,3,2,8,1,6,4,7]=>[6,4,3,8,2,7,-1,5]
[6,3,8,2,1,5,4,7]=>[6,5,3,8,7,2,-1,4]
[7,8,3,2,1,5,4,6]=>[6,5,4,8,7,-1,2,3]
[7,8,3,2,1,5,6,4]=>[6,5,4,-1,7,8,2,3]
[6,3,8,2,1,5,7,4]=>[6,5,3,-1,7,2,8,4]
[5,3,2,8,1,6,7,4]=>[6,4,3,-1,2,7,8,5]
[4,3,2,1,8,6,7,5]=>[5,4,3,2,-1,7,8,6]
[4,3,2,1,6,8,7,5]=>[5,4,3,2,-1,6,8,7]
[4,3,2,1,6,7,8,5]=>[5,4,3,2,-1,6,7,8]
[4,3,2,1,6,7,5,8]=>[5,4,3,2,8,6,7,-1]
[4,3,2,1,7,6,5,8]=>[5,4,3,2,8,7,6,-1]
[4,3,2,1,7,6,8,5]=>[5,4,3,2,-1,7,6,8]
[4,3,2,1,7,8,6,5]=>[5,4,3,2,-1,8,6,7]
[5,4,2,7,8,1,6,3]=>[7,4,-1,3,2,8,5,6]
[5,3,2,7,1,8,6,4]=>[6,4,3,-1,2,8,5,7]
[5,3,2,7,1,6,8,4]=>[6,4,3,-1,2,7,5,8]
[5,3,2,7,1,6,4,8]=>[6,4,3,8,2,7,5,-1]
[6,3,7,2,1,5,4,8]=>[6,5,3,8,7,2,4,-1]
[6,3,7,2,1,5,8,4]=>[6,5,3,-1,7,2,4,8]
[6,3,7,2,1,8,5,4]=>[6,5,3,-1,8,2,4,7]
[6,4,7,2,8,1,5,3]=>[7,5,-1,3,8,2,4,6]
[6,5,7,8,2,1,4,3]=>[7,6,-1,8,3,2,4,5]
[7,8,5,6,2,1,3,4]=>[7,6,8,-1,4,5,2,3]
[6,5,8,7,2,1,3,4]=>[7,6,8,-1,3,2,5,4]
[6,3,7,2,1,8,4,5]=>[6,5,3,8,-1,2,4,7]
[6,3,7,2,1,4,8,5]=>[6,5,3,7,-1,2,4,8]
[6,3,7,2,1,4,5,8]=>[6,5,3,7,8,2,4,-1]
[5,3,2,7,1,4,6,8]=>[6,4,3,7,2,8,5,-1]
[5,3,2,7,1,4,8,6]=>[6,4,3,7,2,-1,5,8]
[5,4,2,7,8,1,3,6]=>[7,4,8,3,2,-1,5,6]
[5,4,2,8,7,1,3,6]=>[7,4,8,3,2,-1,6,5]
[6,4,8,2,7,1,3,5]=>[7,5,8,3,-1,2,6,4]
[7,8,4,2,6,1,3,5]=>[7,5,8,4,-1,6,2,3]
[7,8,3,2,1,6,4,5]=>[6,5,4,8,-1,7,2,3]
[6,3,8,2,1,7,4,5]=>[6,5,3,8,-1,2,7,4]
[5,3,2,8,1,7,4,6]=>[6,4,3,8,2,-1,7,5]
[4,3,2,1,8,7,5,6]=>[5,4,3,2,8,-1,7,6]
[4,3,2,1,7,5,8,6]=>[5,4,3,2,7,-1,6,8]
[4,3,2,1,7,5,6,8]=>[5,4,3,2,7,8,6,-1]
[4,3,2,1,5,7,6,8]=>[5,4,3,2,6,8,7,-1]
[4,3,2,1,5,7,8,6]=>[5,4,3,2,6,-1,7,8]
[4,3,2,1,5,8,7,6]=>[5,4,3,2,6,-1,8,7]
[4,3,2,1,8,5,7,6]=>[5,4,3,2,7,-1,8,6]
[5,3,2,8,1,4,7,6]=>[6,4,3,7,2,-1,8,5]
[6,3,8,2,1,4,7,5]=>[6,5,3,7,-1,2,8,4]
[7,8,3,2,1,4,6,5]=>[6,5,4,7,-1,8,2,3]
[7,8,3,2,1,4,5,6]=>[6,5,4,7,8,-1,2,3]
[6,3,8,2,1,4,5,7]=>[6,5,3,7,8,2,-1,4]
[5,3,2,8,1,4,6,7]=>[6,4,3,7,2,8,-1,5]
[4,3,2,1,8,5,6,7]=>[5,4,3,2,7,8,-1,6]
[4,3,2,1,5,8,6,7]=>[5,4,3,2,6,8,-1,7]
[4,3,2,1,5,6,8,7]=>[5,4,3,2,6,7,-1,8]
[4,3,2,1,5,6,7,8]=>[5,4,3,2,6,7,8,-1]
[3,1,4,2,6,5,8,7]=>[3,5,2,4,7,6,-1,8]
[3,2,4,1,6,5,8,7]=>[5,3,2,4,7,6,-1,8]
[3,2,5,1,6,4,8,7]=>[5,3,2,7,4,6,-1,8]
[3,2,5,4,6,1,8,7]=>[7,3,2,5,4,6,-1,8]
[3,2,5,4,7,1,8,6]=>[7,3,2,5,4,-1,6,8]
[3,2,5,4,7,6,8,1]=>[-1,3,2,5,4,7,6,8]
[4,2,5,3,7,6,8,1]=>[-1,3,5,2,4,7,6,8]
[4,2,5,3,7,1,8,6]=>[7,3,5,2,4,-1,6,8]
[4,2,5,3,6,1,8,7]=>[7,3,5,2,4,6,-1,8]
[4,2,5,1,6,3,8,7]=>[5,3,7,2,4,6,-1,8]
[4,1,5,2,6,3,8,7]=>[3,5,7,2,4,6,-1,8]
[3,1,5,2,6,4,8,7]=>[3,5,2,7,4,6,-1,8]
[2,1,5,3,6,4,8,7]=>[3,2,5,7,4,6,-1,8]
[2,1,5,4,6,3,8,7]=>[3,2,7,5,4,6,-1,8]
[3,1,5,4,6,2,8,7]=>[3,7,2,5,4,6,-1,8]
[4,1,5,3,6,2,8,7]=>[3,7,5,2,4,6,-1,8]
[4,3,5,1,6,2,8,7]=>[5,7,3,2,4,6,-1,8]
[4,3,5,2,6,1,8,7]=>[7,5,3,2,4,6,-1,8]
[4,3,5,2,7,1,8,6]=>[7,5,3,2,4,-1,6,8]
[4,3,5,2,7,6,8,1]=>[-1,5,3,2,4,7,6,8]
[4,3,6,2,7,5,8,1]=>[-1,5,3,2,7,4,6,8]
[4,3,6,2,7,1,8,5]=>[7,5,3,2,-1,4,6,8]
[4,3,6,1,7,2,8,5]=>[5,7,3,2,-1,4,6,8]
[4,3,5,1,7,2,8,6]=>[5,7,3,2,4,-1,6,8]
[4,1,5,3,7,2,8,6]=>[3,7,5,2,4,-1,6,8]
[3,1,5,4,7,2,8,6]=>[3,7,2,5,4,-1,6,8]
[2,1,5,4,7,3,8,6]=>[3,2,7,5,4,-1,6,8]
[2,1,5,4,7,6,8,3]=>[3,2,-1,5,4,7,6,8]
[3,1,5,4,7,6,8,2]=>[3,-1,2,5,4,7,6,8]
[4,1,5,3,7,6,8,2]=>[3,-1,5,2,4,7,6,8]
[4,3,5,1,7,6,8,2]=>[5,-1,3,2,4,7,6,8]
[4,3,6,1,7,5,8,2]=>[5,-1,3,2,7,4,6,8]
[4,3,6,5,7,1,8,2]=>[7,-1,3,2,5,4,6,8]
[4,3,6,5,7,2,8,1]=>[-1,7,3,2,5,4,6,8]
[5,3,6,4,7,2,8,1]=>[-1,7,3,5,2,4,6,8]
[5,3,6,4,7,1,8,2]=>[7,-1,3,5,2,4,6,8]
[5,3,6,1,7,4,8,2]=>[5,-1,3,7,2,4,6,8]
[5,1,6,3,7,4,8,2]=>[3,-1,5,7,2,4,6,8]
[4,1,6,3,7,5,8,2]=>[3,-1,5,2,7,4,6,8]
[3,1,6,4,7,5,8,2]=>[3,-1,2,5,7,4,6,8]
[2,1,6,4,7,5,8,3]=>[3,2,-1,5,7,4,6,8]
[2,1,6,4,7,3,8,5]=>[3,2,7,5,-1,4,6,8]
[3,1,6,4,7,2,8,5]=>[3,7,2,5,-1,4,6,8]
[4,1,6,3,7,2,8,5]=>[3,7,5,2,-1,4,6,8]
[5,1,6,3,7,2,8,4]=>[3,7,5,-1,2,4,6,8]
[5,3,6,1,7,2,8,4]=>[5,7,3,-1,2,4,6,8]
[5,3,6,2,7,1,8,4]=>[7,5,3,-1,2,4,6,8]
[5,3,6,2,7,4,8,1]=>[-1,5,3,7,2,4,6,8]
[5,2,6,3,7,4,8,1]=>[-1,3,5,7,2,4,6,8]
[5,2,6,3,7,1,8,4]=>[7,3,5,-1,2,4,6,8]
[5,2,6,1,7,3,8,4]=>[5,3,7,-1,2,4,6,8]
[5,1,6,2,7,3,8,4]=>[3,5,7,-1,2,4,6,8]
[4,1,6,2,7,3,8,5]=>[3,5,7,2,-1,4,6,8]
[3,1,6,2,7,4,8,5]=>[3,5,2,7,-1,4,6,8]
[2,1,6,3,7,4,8,5]=>[3,2,5,7,-1,4,6,8]
[2,1,5,3,7,4,8,6]=>[3,2,5,7,4,-1,6,8]
[3,1,5,2,7,4,8,6]=>[3,5,2,7,4,-1,6,8]
[4,1,5,2,7,3,8,6]=>[3,5,7,2,4,-1,6,8]
[4,2,5,1,7,3,8,6]=>[5,3,7,2,4,-1,6,8]
[4,2,6,1,7,3,8,5]=>[5,3,7,2,-1,4,6,8]
[4,2,6,3,7,1,8,5]=>[7,3,5,2,-1,4,6,8]
[4,2,6,3,7,5,8,1]=>[-1,3,5,2,7,4,6,8]
[3,2,6,4,7,5,8,1]=>[-1,3,2,5,7,4,6,8]
[3,2,6,4,7,1,8,5]=>[7,3,2,5,-1,4,6,8]
[3,2,6,1,7,4,8,5]=>[5,3,2,7,-1,4,6,8]
[3,2,5,1,7,4,8,6]=>[5,3,2,7,4,-1,6,8]
[3,2,4,1,7,5,8,6]=>[5,3,2,4,7,-1,6,8]
[3,1,4,2,7,5,8,6]=>[3,5,2,4,7,-1,6,8]
[2,1,4,3,7,5,8,6]=>[3,2,5,4,7,-1,6,8]
[2,1,4,3,7,6,8,5]=>[3,2,5,4,-1,7,6,8]
[3,1,4,2,7,6,8,5]=>[3,5,2,4,-1,7,6,8]
[3,2,4,1,7,6,8,5]=>[5,3,2,4,-1,7,6,8]
[3,2,5,1,7,6,8,4]=>[5,3,2,-1,4,7,6,8]
[3,2,6,1,7,5,8,4]=>[5,3,2,-1,7,4,6,8]
[3,2,6,5,7,1,8,4]=>[7,3,2,-1,5,4,6,8]
[3,2,6,5,7,4,8,1]=>[-1,3,2,7,5,4,6,8]
[4,2,6,5,7,3,8,1]=>[-1,3,7,2,5,4,6,8]
[4,2,6,5,7,1,8,3]=>[7,3,-1,2,5,4,6,8]
[4,2,6,1,7,5,8,3]=>[5,3,-1,2,7,4,6,8]
[4,2,5,1,7,6,8,3]=>[5,3,-1,2,4,7,6,8]
[4,1,5,2,7,6,8,3]=>[3,5,-1,2,4,7,6,8]
[3,1,5,2,7,6,8,4]=>[3,5,2,-1,4,7,6,8]
[2,1,5,3,7,6,8,4]=>[3,2,5,-1,4,7,6,8]
[2,1,6,3,7,5,8,4]=>[3,2,5,-1,7,4,6,8]
[3,1,6,2,7,5,8,4]=>[3,5,2,-1,7,4,6,8]
[4,1,6,2,7,5,8,3]=>[3,5,-1,2,7,4,6,8]
[5,1,6,2,7,4,8,3]=>[3,5,-1,7,2,4,6,8]
[5,2,6,1,7,4,8,3]=>[5,3,-1,7,2,4,6,8]
[5,2,6,4,7,1,8,3]=>[7,3,-1,5,2,4,6,8]
[5,2,6,4,7,3,8,1]=>[-1,3,7,5,2,4,6,8]
[5,4,6,2,7,3,8,1]=>[-1,5,7,3,2,4,6,8]
[5,4,6,2,7,1,8,3]=>[7,5,-1,3,2,4,6,8]
[5,4,6,1,7,2,8,3]=>[5,7,-1,3,2,4,6,8]
[5,1,6,4,7,2,8,3]=>[3,7,-1,5,2,4,6,8]
[4,1,6,5,7,2,8,3]=>[3,7,-1,2,5,4,6,8]
[3,1,6,5,7,2,8,4]=>[3,7,2,-1,5,4,6,8]
[2,1,6,5,7,3,8,4]=>[3,2,7,-1,5,4,6,8]
[2,1,6,5,7,4,8,3]=>[3,2,-1,7,5,4,6,8]
[3,1,6,5,7,4,8,2]=>[3,-1,2,7,5,4,6,8]
[4,1,6,5,7,3,8,2]=>[3,-1,7,2,5,4,6,8]
[5,1,6,4,7,3,8,2]=>[3,-1,7,5,2,4,6,8]
[5,4,6,1,7,3,8,2]=>[5,-1,7,3,2,4,6,8]
[5,4,6,3,7,1,8,2]=>[7,-1,5,3,2,4,6,8]
[5,4,6,3,7,2,8,1]=>[-1,7,5,3,2,4,6,8]
[2,4,3,1,6,5,8,7]=>[5,2,4,3,7,6,-1,8]
[4,1,3,2,6,5,8,7]=>[3,5,4,2,7,6,-1,8]
[4,5,3,6,2,1,8,7]=>[7,6,4,2,3,5,-1,8]
[6,5,3,1,2,4,8,7]=>[5,6,4,7,3,2,-1,8]
[6,5,3,7,2,8,4,1]=>[-1,6,4,8,3,2,5,7]
[8,5,3,7,2,1,4,6]=>[7,6,4,8,3,-1,5,2]
[8,3,7,4,5,1,2,6]=>[7,8,3,5,6,-1,4,2]
[6,3,7,4,5,8,2,1]=>[-1,8,3,5,6,2,4,7]
[6,3,1,4,5,2,8,7]=>[4,7,3,5,6,2,-1,8]
[3,1,6,4,5,2,8,7]=>[3,7,2,5,6,4,-1,8]
[2,3,6,4,5,1,8,7]=>[7,2,3,5,6,4,-1,8]
[5,4,3,6,1,2,8,7]=>[6,7,4,3,2,5,-1,8]
[2,1,4,6,5,3,8,7]=>[3,2,7,4,6,5,-1,8]
[2,1,6,3,5,4,8,7]=>[3,2,5,7,6,4,-1,8]
[5,6,3,2,1,4,8,7]=>[6,5,4,7,2,3,-1,8]
[3,6,2,4,5,1,8,7]=>[7,4,2,5,6,3,-1,8]
[2,6,1,4,5,3,8,7]=>[4,2,7,5,6,3,-1,8]
[6,1,2,4,5,3,8,7]=>[3,4,7,5,6,2,-1,8]
[6,7,2,4,5,8,3,1]=>[-1,4,8,5,6,2,3,7]
[8,7,2,4,5,1,3,6]=>[7,4,8,5,6,-1,3,2]
[8,5,7,4,1,6,3,2]=>[6,-1,8,5,3,7,4,2]
[5,1,7,4,8,6,3,2]=>[3,-1,8,5,2,7,4,6]
[2,5,7,4,8,6,3,1]=>[-1,2,8,5,3,7,4,6]
[7,6,1,4,5,8,3,2]=>[4,-1,8,5,6,3,2,7]
[5,6,3,7,1,8,4,2]=>[6,-1,4,8,2,3,5,7]
[2,1,6,7,5,8,4,3]=>[3,2,-1,8,6,4,5,7]
[2,1,8,7,5,3,4,6]=>[3,2,7,8,6,-1,5,4]
[5,8,3,7,1,2,4,6]=>[6,7,4,8,2,-1,5,3]
[3,8,7,4,5,2,1,6]=>[8,7,2,5,6,-1,4,3]
[5,8,7,4,2,6,3,1]=>[-1,6,8,5,2,7,4,3]
[2,8,7,4,1,6,3,5]=>[6,2,8,5,-1,7,4,3]
[8,1,7,4,2,6,3,5]=>[3,6,8,5,-1,7,4,2]
[8,1,4,2,5,6,7,3]=>[3,5,-1,4,6,7,8,2]
[2,8,4,1,5,6,7,3]=>[5,2,-1,4,6,7,8,3]
[4,8,1,2,5,6,7,3]=>[4,5,-1,2,6,7,8,3]
[3,8,4,2,5,6,7,1]=>[-1,5,2,4,6,7,8,3]
[7,8,5,4,2,6,1,3]=>[8,6,-1,5,4,7,2,3]
[6,8,3,5,2,1,7,4]=>[7,6,4,-1,5,2,8,3]
[2,1,8,5,3,6,7,4]=>[3,2,6,-1,5,7,8,4]
[2,1,5,3,8,6,7,4]=>[3,2,5,-1,4,7,8,6]
[6,5,3,2,8,1,7,4]=>[7,5,4,-1,3,2,8,6]
[7,5,2,4,8,6,1,3]=>[8,4,-1,5,3,7,2,6]
[3,4,2,8,5,6,7,1]=>[-1,4,2,3,6,7,8,5]
[2,4,1,8,5,6,7,3]=>[4,2,-1,3,6,7,8,5]
[4,1,2,8,5,6,7,3]=>[3,4,-1,2,6,7,8,5]
[8,4,2,1,5,6,7,3]=>[5,4,-1,3,6,7,8,2]
[8,3,4,1,5,6,7,2]=>[5,-1,3,4,6,7,8,2]
[4,3,1,8,5,6,7,2]=>[4,-1,3,2,6,7,8,5]
[3,1,4,8,5,6,7,2]=>[3,-1,2,4,6,7,8,5]
[2,3,4,8,5,6,7,1]=>[-1,2,3,4,6,7,8,5]
[7,3,5,4,8,6,1,2]=>[8,-1,3,5,4,7,2,6]
[6,4,3,5,8,1,7,2]=>[7,-1,4,3,5,2,8,6]
[2,1,4,5,8,6,7,3]=>[3,2,-1,4,5,7,8,6]
[2,1,7,6,5,8,3,4]=>[3,2,8,-1,6,5,4,7]
[5,7,3,6,1,8,2,4]=>[6,8,4,-1,2,5,3,7]
[2,7,6,4,5,8,1,3]=>[8,2,-1,5,6,4,3,7]
[7,1,6,4,5,8,2,3]=>[3,8,-1,5,6,4,2,7]
[3,7,5,4,8,6,2,1]=>[-1,8,2,5,4,7,3,6]
[5,7,1,4,8,6,2,3]=>[4,8,-1,5,2,7,3,6]
[8,7,5,4,1,6,2,3]=>[6,8,-1,5,4,7,3,2]
[8,6,3,5,1,2,7,4]=>[6,7,4,-1,5,3,8,2]
[5,6,3,1,8,2,7,4]=>[5,7,4,-1,2,3,8,6]
[4,6,3,5,8,2,7,1]=>[-1,7,4,2,5,3,8,6]
[7,5,3,6,2,8,1,4]=>[8,6,4,-1,3,5,2,7]
[4,1,3,2,6,8,7,5]=>[3,5,4,2,-1,6,8,7]
[2,4,3,1,6,8,7,5]=>[5,2,4,3,-1,6,8,7]
[2,1,4,3,6,8,7,5]=>[3,2,5,4,-1,6,8,7]
[2,1,4,3,8,5,7,6]=>[3,2,5,4,7,-1,8,6]
[2,4,3,1,8,5,7,6]=>[5,2,4,3,7,-1,8,6]
[4,1,3,2,8,5,7,6]=>[3,5,4,2,7,-1,8,6]
[7,5,3,8,2,4,1,6]=>[8,6,4,7,3,-1,2,5]
[5,6,3,8,4,2,7,1]=>[-1,7,4,6,2,3,8,5]
[4,6,3,8,1,2,7,5]=>[6,7,4,2,-1,3,8,5]
[8,6,3,1,4,2,7,5]=>[5,7,4,6,-1,3,8,2]
[8,7,1,4,3,6,2,5]=>[4,8,6,5,-1,7,3,2]
[3,7,8,4,1,6,2,5]=>[6,8,2,5,-1,7,3,4]
[5,7,8,4,3,6,2,1]=>[-1,8,6,5,2,7,3,4]
[7,1,8,4,5,3,2,6]=>[3,8,7,5,6,-1,2,4]
[2,7,8,4,5,3,1,6]=>[8,2,7,5,6,-1,3,4]
[5,7,3,8,1,4,2,6]=>[6,8,4,7,2,-1,3,5]
[2,1,7,8,5,4,3,6]=>[3,2,8,7,6,-1,4,5]
[2,1,5,8,4,6,7,3]=>[3,2,-1,6,4,7,8,5]
[6,5,3,8,4,1,7,2]=>[7,-1,4,6,3,2,8,5]
[7,5,8,4,3,6,1,2]=>[8,-1,6,5,3,7,2,4]
[2,4,8,3,5,6,7,1]=>[-1,2,5,3,6,7,8,4]
[4,1,8,3,5,6,7,2]=>[3,-1,5,2,6,7,8,4]
[3,4,8,1,5,6,7,2]=>[5,-1,2,3,6,7,8,4]
[8,4,1,3,5,6,7,2]=>[4,-1,5,3,6,7,8,2]
[8,3,1,2,5,6,7,4]=>[4,5,3,-1,6,7,8,2]
[3,1,8,2,5,6,7,4]=>[3,5,2,-1,6,7,8,4]
[2,3,8,1,5,6,7,4]=>[5,2,3,-1,6,7,8,4]
[4,3,8,2,5,6,7,1]=>[-1,5,3,2,6,7,8,4]
[7,3,8,4,2,6,1,5]=>[8,6,3,5,-1,7,2,4]
[6,4,3,8,2,1,7,5]=>[7,6,4,3,-1,2,8,5]
[2,1,4,8,3,6,7,5]=>[3,2,6,4,-1,7,8,5]
[2,1,8,3,4,6,7,5]=>[3,2,5,6,-1,7,8,4]
[6,8,3,2,4,1,7,5]=>[7,5,4,6,-1,2,8,3]
[7,8,2,4,3,6,1,5]=>[8,4,6,5,-1,7,2,3]
[4,8,2,3,5,6,7,1]=>[-1,4,5,2,6,7,8,3]
[3,8,2,1,5,6,7,4]=>[5,4,2,-1,6,7,8,3]
[2,8,1,3,5,6,7,4]=>[4,2,5,-1,6,7,8,3]
[8,1,2,3,5,6,7,4]=>[3,4,5,-1,6,7,8,2]
[8,6,4,2,1,3,5,7]=>[6,5,7,4,8,3,-1,2]
[8,6,1,3,4,2,5,7]=>[4,7,5,6,8,3,-1,2]
[8,6,3,4,2,1,5,7]=>[7,6,4,5,8,3,-1,2]
[8,3,2,5,1,6,4,7]=>[6,4,3,8,5,7,-1,2]
[8,5,3,6,2,4,1,7]=>[8,6,4,7,3,5,-1,2]
[5,3,2,7,4,1,8,6]=>[7,4,3,6,2,-1,5,8]
[7,5,3,8,2,4,6,1]=>[-1,6,4,7,3,8,2,5]
[7,2,4,5,8,3,6,1]=>[-1,3,7,4,5,8,2,6]
[2,4,5,3,7,1,8,6]=>[7,2,5,3,4,-1,6,8]
[8,2,4,5,6,3,1,7]=>[8,3,7,4,5,6,-1,2]
[8,2,4,5,6,1,3,7]=>[7,3,8,4,5,6,-1,2]
[8,1,2,4,5,6,3,7]=>[3,4,8,5,6,7,-1,2]
[8,3,1,5,6,2,4,7]=>[4,7,3,8,5,6,-1,2]
[8,2,5,1,3,6,4,7]=>[5,3,6,8,4,7,-1,2]
[8,5,6,2,1,4,3,7]=>[6,5,8,7,3,4,-1,2]
[8,5,3,6,4,1,2,7]=>[7,8,4,6,3,5,-1,2]
[8,4,1,5,6,3,2,7]=>[4,8,7,3,5,6,-1,2]
[8,1,4,5,6,3,2,7]=>[3,8,7,4,5,6,-1,2]
[8,4,5,6,3,2,1,7]=>[8,7,6,3,4,5,-1,2]
[4,5,3,7,2,1,8,6]=>[7,6,4,2,3,-1,5,8]
[7,4,5,8,3,2,6,1]=>[-1,7,6,3,4,8,2,5]
[4,3,6,7,2,8,5,1]=>[-1,6,3,2,8,4,5,7]
[4,3,6,7,2,8,1,5]=>[8,6,3,2,-1,4,5,7]
[1,4,3,6,7,2,8,5]=>[2,7,4,3,-1,5,6,8]
[4,5,3,7,1,8,2,6]=>[6,8,4,2,3,-1,5,7]
[5,3,4,7,1,2,8,6]=>[6,7,3,4,2,-1,5,8]
[5,2,7,1,4,3,8,6]=>[5,3,7,6,2,-1,4,8]
[7,5,8,2,1,4,6,3]=>[6,5,-1,7,3,8,2,4]
[7,5,3,8,4,1,6,2]=>[7,-1,4,6,3,8,2,5]
[7,4,1,5,8,3,6,2]=>[4,-1,7,3,5,8,2,6]
[7,4,5,8,3,6,1,2]=>[8,-1,6,3,4,7,2,5]
[4,3,6,7,8,1,5,2]=>[7,-1,3,2,8,4,5,6]
[1,6,4,7,8,3,5,2]=>[2,-1,7,4,8,3,5,6]
[6,4,7,8,3,5,2,1]=>[-1,8,6,3,7,2,4,5]
[3,5,6,7,8,4,2,1]=>[-1,8,2,7,3,4,5,6]
[1,3,5,6,7,8,4,2]=>[2,-1,3,8,4,5,6,7]
[3,5,6,7,8,4,1,2]=>[8,-1,2,7,3,4,5,6]
[3,1,5,6,7,8,4,2]=>[3,-1,2,8,4,5,6,7]
[4,6,1,7,8,3,5,2]=>[4,-1,7,2,8,3,5,6]
[3,6,7,1,4,8,5,2]=>[5,-1,2,6,8,3,4,7]
[6,2,4,1,7,8,5,3]=>[5,3,-1,4,8,2,6,7]
[2,6,7,1,4,8,3,5]=>[5,2,8,6,-1,3,4,7]
[4,3,6,7,8,1,2,5]=>[7,8,3,2,-1,4,5,6]
[1,5,3,6,7,8,2,4]=>[2,8,4,-1,3,5,6,7]
[1,3,5,6,7,8,2,4]=>[2,8,3,-1,4,5,6,7]
[3,5,6,7,8,2,1,4]=>[8,7,2,-1,3,4,5,6]
[3,5,6,7,8,2,4,1]=>[-1,7,2,8,3,4,5,6]
[2,3,5,6,7,8,4,1]=>[-1,2,3,8,4,5,6,7]
[2,3,5,6,7,8,1,4]=>[8,2,3,-1,4,5,6,7]
[2,1,5,6,7,8,3,4]=>[3,2,8,-1,4,5,6,7]
[1,2,3,5,6,7,8,4]=>[2,3,4,-1,5,6,7,8]
[1,4,2,6,7,8,3,5]=>[2,4,8,3,-1,5,6,7]
[3,1,2,6,7,4,8,5]=>[3,4,2,7,-1,5,6,8]
[2,1,6,3,4,7,8,5]=>[3,2,5,6,-1,4,7,8]
[5,2,7,1,3,8,4,6]=>[5,3,6,8,2,-1,4,7]
[5,3,1,7,8,2,4,6]=>[4,7,3,8,2,-1,5,6]
[4,1,5,2,7,8,3,6]=>[3,5,8,2,4,-1,6,7]
[4,5,2,7,8,1,3,6]=>[7,4,8,2,3,-1,5,6]
[2,4,1,6,7,3,8,5]=>[4,2,7,3,-1,5,6,8]
[4,2,6,7,8,3,1,5]=>[8,3,7,2,-1,4,5,6]
[4,2,6,7,8,3,5,1]=>[-1,3,7,2,8,4,5,6]
[3,6,2,7,4,8,5,1]=>[-1,4,2,6,8,3,5,7]
[3,6,2,7,4,8,1,5]=>[8,4,2,6,-1,3,5,7]
[3,2,1,6,4,7,8,5]=>[4,3,2,6,-1,5,7,8]
[3,7,4,2,1,5,8,6]=>[6,5,2,4,7,-1,3,8]
[1,7,3,4,2,5,8,6]=>[2,6,4,5,7,-1,3,8]
[4,7,2,1,3,5,8,6]=>[5,4,6,2,7,-1,3,8]
[7,8,4,2,1,3,6,5]=>[6,5,7,4,-1,8,2,3]
[7,8,1,3,4,2,6,5]=>[4,7,5,6,-1,8,2,3]
[7,8,3,4,2,1,6,5]=>[7,6,4,5,-1,8,2,3]
[7,5,3,8,2,6,1,4]=>[8,6,4,-1,3,7,2,5]
[6,3,2,7,1,8,5,4]=>[6,4,3,-1,8,2,5,7]
[3,6,2,7,1,8,5,4]=>[6,4,2,-1,8,3,5,7]
[6,7,3,8,2,5,4,1]=>[-1,6,4,8,7,2,3,5]
[6,4,7,8,5,2,3,1]=>[-1,7,8,3,6,2,4,5]
[2,6,4,7,8,1,5,3]=>[7,2,-1,4,8,3,5,6]
[4,6,2,7,8,1,5,3]=>[7,4,-1,2,8,3,5,6]
[7,4,5,8,6,2,1,3]=>[8,7,-1,3,4,6,2,5]
[7,4,1,5,8,6,2,3]=>[4,8,-1,3,5,7,2,6]
[7,5,3,8,6,1,2,4]=>[7,8,4,-1,3,6,2,5]
[7,5,8,2,1,6,3,4]=>[6,5,8,-1,3,7,2,4]
[6,2,7,1,3,8,5,4]=>[5,3,6,-1,8,2,4,7]
[6,3,1,7,8,2,5,4]=>[4,7,3,-1,8,2,5,6]
[4,6,1,7,8,5,2,3]=>[4,8,-1,2,7,3,5,6]
[5,1,2,6,7,8,4,3]=>[3,4,-1,8,2,5,6,7]
[5,2,6,7,8,4,1,3]=>[8,3,-1,7,2,4,5,6]
[2,1,5,6,7,8,4,3]=>[3,2,-1,8,4,5,6,7]
[5,2,6,7,8,4,3,1]=>[-1,3,8,7,2,4,5,6]
[2,5,6,7,8,4,3,1]=>[-1,2,8,7,3,4,5,6]
[2,5,6,7,8,4,1,3]=>[8,2,-1,7,3,4,5,6]
[1,2,5,6,7,8,4,3]=>[2,3,-1,8,4,5,6,7]
[1,5,2,6,7,8,4,3]=>[2,4,-1,8,3,5,6,7]
[1,6,4,7,8,5,2,3]=>[2,8,-1,4,7,3,5,6]
[2,6,7,1,3,8,5,4]=>[5,2,6,-1,8,3,4,7]
[6,7,8,2,1,5,4,3]=>[6,5,-1,8,7,2,3,4]
[6,7,3,8,5,1,4,2]=>[7,-1,4,8,6,2,3,5]
[6,4,7,8,5,3,1,2]=>[8,-1,7,3,6,2,4,5]
[5,6,1,7,8,4,3,2]=>[4,-1,8,7,2,3,5,6]
[5,1,6,7,8,4,3,2]=>[3,-1,8,7,2,4,5,6]
[1,5,6,7,8,4,3,2]=>[2,-1,8,7,3,4,5,6]
[5,1,3,2,6,4,8,7]=>[3,5,4,7,2,6,-1,8]
[6,1,3,2,5,4,8,7]=>[3,5,4,7,6,2,-1,8]
[7,1,3,2,5,4,8,6]=>[3,5,4,7,6,-1,2,8]
[8,1,3,2,5,4,7,6]=>[3,5,4,7,6,-1,8,2]
[8,1,4,2,5,3,7,6]=>[3,5,7,4,6,-1,8,2]
[7,1,4,2,5,3,8,6]=>[3,5,7,4,6,-1,2,8]
[6,1,4,2,5,3,8,7]=>[3,5,7,4,6,2,-1,8]
[5,1,4,2,6,3,8,7]=>[3,5,7,4,2,6,-1,8]
[3,1,6,2,5,4,8,7]=>[3,5,2,7,6,4,-1,8]
[4,1,6,2,5,3,8,7]=>[3,5,7,2,6,4,-1,8]
[6,2,5,1,4,3,8,7]=>[5,3,7,6,4,2,-1,8]
[5,2,6,1,4,3,8,7]=>[5,3,7,6,2,4,-1,8]
[5,2,8,1,4,3,7,6]=>[5,3,7,6,2,-1,8,4]
[6,2,8,1,4,3,7,5]=>[5,3,7,6,-1,2,8,4]
[6,2,7,1,4,3,8,5]=>[5,3,7,6,-1,2,4,8]
[7,2,6,1,4,3,8,5]=>[5,3,7,6,-1,4,2,8]
[7,2,5,1,4,3,8,6]=>[5,3,7,6,4,-1,2,8]
[4,1,7,2,5,3,8,6]=>[3,5,7,2,6,-1,4,8]
[3,1,7,2,5,4,8,6]=>[3,5,2,7,6,-1,4,8]
[2,1,7,3,5,4,8,6]=>[3,2,5,7,6,-1,4,8]
[2,1,8,3,5,4,7,6]=>[3,2,5,7,6,-1,8,4]
[3,1,8,2,5,4,7,6]=>[3,5,2,7,6,-1,8,4]
[4,1,8,2,5,3,7,6]=>[3,5,7,2,6,-1,8,4]
[8,2,5,1,4,3,7,6]=>[5,3,7,6,4,-1,8,2]
[8,2,6,1,4,3,7,5]=>[5,3,7,6,-1,4,8,2]
[7,1,4,3,8,2,6,5]=>[3,7,5,4,-1,8,2,6]
[8,1,4,3,7,2,6,5]=>[3,7,5,4,-1,8,6,2]
[8,1,5,3,7,2,6,4]=>[3,7,5,-1,4,8,6,2]
[7,1,5,3,8,2,6,4]=>[3,7,5,-1,4,8,2,6]
[8,2,6,1,5,3,7,4]=>[5,3,7,-1,6,4,8,2]
[5,1,8,2,6,3,7,4]=>[3,5,7,-1,2,6,8,4]
[4,1,8,2,6,3,7,5]=>[3,5,7,2,-1,6,8,4]
[3,1,8,2,6,4,7,5]=>[3,5,2,7,-1,6,8,4]
[2,1,8,3,6,4,7,5]=>[3,2,5,7,-1,6,8,4]
[2,1,7,3,6,4,8,5]=>[3,2,5,7,-1,6,4,8]
[3,1,7,2,6,4,8,5]=>[3,5,2,7,-1,6,4,8]
[4,1,7,2,6,3,8,5]=>[3,5,7,2,-1,6,4,8]
[5,1,7,2,6,3,8,4]=>[3,5,7,-1,2,6,4,8]
[7,2,6,1,5,3,8,4]=>[5,3,7,-1,6,4,2,8]
[6,2,7,1,5,3,8,4]=>[5,3,7,-1,6,2,4,8]
[6,2,8,1,5,3,7,4]=>[5,3,7,-1,6,2,8,4]
[8,1,5,2,6,3,7,4]=>[3,5,7,-1,4,6,8,2]
[7,1,5,2,6,3,8,4]=>[3,5,7,-1,4,6,2,8]
[6,1,5,2,7,3,8,4]=>[3,5,7,-1,4,2,6,8]
[5,1,4,2,7,3,8,6]=>[3,5,7,4,2,-1,6,8]
[6,1,4,2,7,3,8,5]=>[3,5,7,4,-1,2,6,8]
[7,1,4,2,6,3,8,5]=>[3,5,7,4,-1,6,2,8]
[8,1,4,2,6,3,7,5]=>[3,5,7,4,-1,6,8,2]
[8,1,3,2,6,4,7,5]=>[3,5,4,7,-1,6,8,2]
[7,1,3,2,6,4,8,5]=>[3,5,4,7,-1,6,2,8]
[6,1,3,2,7,4,8,5]=>[3,5,4,7,-1,2,6,8]
[5,1,3,2,7,4,8,6]=>[3,5,4,7,2,-1,6,8]
[4,1,3,2,7,5,8,6]=>[3,5,4,2,7,-1,6,8]
[3,1,4,2,8,5,7,6]=>[3,5,2,4,7,-1,8,6]
[5,1,3,2,8,4,7,6]=>[3,5,4,7,2,-1,8,6]
[6,1,3,2,8,4,7,5]=>[3,5,4,7,-1,2,8,6]
[8,4,7,1,3,2,6,5]=>[5,7,6,3,-1,8,4,2]
[7,4,8,1,3,2,6,5]=>[5,7,6,3,-1,8,2,4]
[7,3,8,1,4,2,6,5]=>[5,7,3,6,-1,8,2,4]
[8,3,7,1,4,2,6,5]=>[5,7,3,6,-1,8,4,2]
[6,1,4,2,8,3,7,5]=>[3,5,7,4,-1,2,8,6]
[5,1,4,2,8,3,7,6]=>[3,5,7,4,2,-1,8,6]
[4,1,5,2,8,3,7,6]=>[3,5,7,2,4,-1,8,6]
[3,1,5,2,8,4,7,6]=>[3,5,2,7,4,-1,8,6]
[2,1,5,3,8,4,7,6]=>[3,2,5,7,4,-1,8,6]
[2,1,6,3,8,4,7,5]=>[3,2,5,7,-1,4,8,6]
[3,1,6,2,8,4,7,5]=>[3,5,2,7,-1,4,8,6]
[4,1,6,2,8,3,7,5]=>[3,5,7,2,-1,4,8,6]
[5,1,6,2,8,3,7,4]=>[3,5,7,-1,2,4,8,6]
[6,1,5,2,8,3,7,4]=>[3,5,7,-1,4,2,8,6]
[8,3,7,1,5,2,6,4]=>[5,7,3,-1,6,8,4,2]
[7,3,8,1,5,2,6,4]=>[5,7,3,-1,6,8,2,4]
[6,2,7,3,8,1,5,4]=>[7,3,5,-1,8,2,4,6]
[6,2,8,3,7,1,5,4]=>[7,3,5,-1,8,2,6,4]
[8,3,7,2,6,1,5,4]=>[7,5,3,-1,8,6,4,2]
[5,1,8,3,7,2,6,4]=>[3,7,5,-1,2,8,6,4]
[4,1,8,3,7,2,6,5]=>[3,7,5,2,-1,8,6,4]
[3,1,8,4,7,2,6,5]=>[3,7,2,5,-1,8,6,4]
[2,1,8,4,7,3,6,5]=>[3,2,7,5,-1,8,6,4]
[2,1,7,4,8,3,6,5]=>[3,2,7,5,-1,8,4,6]
[3,1,7,4,8,2,6,5]=>[3,7,2,5,-1,8,4,6]
[4,1,7,3,8,2,6,5]=>[3,7,5,2,-1,8,4,6]
[5,1,7,3,8,2,6,4]=>[3,7,5,-1,2,8,4,6]
[7,3,8,2,6,1,5,4]=>[7,5,3,-1,8,6,2,4]
[8,2,6,3,7,1,5,4]=>[7,3,5,-1,8,4,6,2]
[7,2,6,3,8,1,5,4]=>[7,3,5,-1,8,4,2,6]
[3,2,5,4,7,6,1,8]=>[8,3,2,5,4,7,6,-1]
[4,5,2,3,7,6,1,8]=>[8,4,5,2,3,7,6,-1]
[5,4,3,2,7,6,1,8]=>[8,5,4,3,2,7,6,-1]
[6,4,3,7,2,5,1,8]=>[8,6,4,3,7,2,5,-1]
[7,4,3,6,5,2,1,8]=>[8,7,4,3,6,5,2,-1]
[8,4,3,6,5,1,2,7]=>[7,8,4,3,6,5,-1,2]
[1,4,3,6,5,8,7,2]=>[2,-1,4,3,6,5,8,7]
[1,5,6,3,4,8,7,2]=>[2,-1,5,6,3,4,8,7]
[8,5,6,3,4,1,2,7]=>[7,8,5,6,3,4,-1,2]
[7,5,6,3,4,2,1,8]=>[8,7,5,6,3,4,2,-1]
[6,5,7,3,2,4,1,8]=>[8,6,5,7,3,2,4,-1]
[5,6,7,2,3,4,1,8]=>[8,5,6,7,2,3,4,-1]
[4,6,2,7,3,5,1,8]=>[8,4,6,2,7,3,5,-1]
[3,2,6,7,4,5,1,8]=>[8,3,2,6,7,4,5,-1]
[3,2,7,6,5,4,1,8]=>[8,3,2,7,6,5,4,-1]
[4,7,2,6,5,3,1,8]=>[8,4,7,2,6,5,3,-1]
[5,7,6,2,4,3,1,8]=>[8,5,7,6,2,4,3,-1]
[6,7,5,4,2,3,1,8]=>[8,6,7,5,4,2,3,-1]
[7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,-1]
[8,6,5,4,3,1,2,7]=>[7,8,6,5,4,3,-1,2]
[1,6,5,4,3,8,7,2]=>[2,-1,6,5,4,3,8,7]
[1,7,5,4,8,3,6,2]=>[2,-1,7,5,4,8,3,6]
[8,7,5,4,1,3,2,6]=>[6,8,7,5,4,-1,3,2]
[7,8,5,4,1,2,3,6]=>[6,7,8,5,4,-1,2,3]
[6,8,5,4,2,1,3,7]=>[7,6,8,5,4,2,-1,3]
[5,8,6,2,4,1,3,7]=>[7,5,8,6,2,4,-1,3]
[4,8,2,6,5,1,3,7]=>[7,4,8,2,6,5,-1,3]
[3,2,8,6,5,1,4,7]=>[7,3,2,8,6,5,-1,4]
[3,2,1,6,5,8,7,4]=>[4,3,2,-1,6,5,8,7]
[4,1,2,6,5,8,7,3]=>[3,4,-1,2,6,5,8,7]
[5,1,6,2,4,8,7,3]=>[3,5,-1,6,2,4,8,7]
[6,1,5,4,2,8,7,3]=>[3,6,-1,5,4,2,8,7]
[7,1,5,4,8,2,6,3]=>[3,7,-1,5,4,8,2,6]
[8,1,5,4,7,6,2,3]=>[3,8,-1,5,4,7,6,2]
[1,8,5,4,7,6,3,2]=>[2,-1,8,5,4,7,6,3]
[1,8,6,7,4,5,3,2]=>[2,-1,8,6,7,4,5,3]
[8,1,6,7,4,5,2,3]=>[3,8,-1,6,7,4,5,2]
[7,1,6,8,4,2,5,3]=>[3,7,-1,6,8,4,2,5]
[6,1,7,8,2,4,5,3]=>[3,6,-1,7,8,2,4,5]
[5,1,7,2,8,4,6,3]=>[3,5,-1,7,2,8,4,6]
[4,1,2,7,8,5,6,3]=>[3,4,-1,2,7,8,5,6]
[3,2,1,7,8,5,6,4]=>[4,3,2,-1,7,8,5,6]
[3,2,8,7,1,5,4,6]=>[6,3,2,8,7,-1,5,4]
[4,8,2,7,1,5,3,6]=>[6,4,8,2,7,-1,5,3]
[5,8,7,2,1,4,3,6]=>[6,5,8,7,2,-1,4,3]
[6,8,7,1,2,4,3,5]=>[5,6,8,7,-1,2,4,3]
[7,8,6,1,4,2,3,5]=>[5,7,8,6,-1,4,2,3]
[8,7,6,1,4,3,2,5]=>[5,8,7,6,-1,4,3,2]
[1,7,6,8,4,3,5,2]=>[2,-1,7,6,8,4,3,5]
[1,6,7,8,3,4,5,2]=>[2,-1,6,7,8,3,4,5]
[8,6,7,1,3,4,2,5]=>[5,8,6,7,-1,3,4,2]
[7,6,8,1,3,2,4,5]=>[5,7,6,8,-1,3,2,4]
[6,7,8,1,2,3,4,5]=>[5,6,7,8,-1,2,3,4]
[5,7,8,2,1,3,4,6]=>[6,5,7,8,2,-1,3,4]
[4,7,2,8,1,3,5,6]=>[6,4,7,2,8,-1,3,5]
[3,2,7,8,1,4,5,6]=>[6,3,2,7,8,-1,4,5]
[3,2,6,8,4,1,5,7]=>[7,3,2,6,8,4,-1,5]
[4,6,2,8,3,1,5,7]=>[7,4,6,2,8,3,-1,5]
[5,6,8,2,3,1,4,7]=>[7,5,6,8,2,3,-1,4]
[6,5,8,3,2,1,4,7]=>[7,6,5,8,3,2,-1,4]
[7,5,8,3,1,2,4,6]=>[6,7,5,8,3,-1,2,4]
[8,5,7,3,1,4,2,6]=>[6,8,5,7,3,-1,4,2]
[1,5,7,3,8,4,6,2]=>[2,-1,5,7,3,8,4,6]
[1,4,3,7,8,5,6,2]=>[2,-1,4,3,7,8,5,6]
[8,4,3,7,1,5,2,6]=>[6,8,4,3,7,-1,5,2]
[7,4,3,8,1,2,5,6]=>[6,7,4,3,8,-1,2,5]
[6,4,3,8,2,1,5,7]=>[7,6,4,3,8,2,-1,5]
[5,4,3,2,8,1,6,7]=>[7,5,4,3,2,8,-1,6]
[4,5,2,3,8,1,6,7]=>[7,4,5,2,3,8,-1,6]
[3,2,5,4,8,1,6,7]=>[7,3,2,5,4,8,-1,6]
[3,2,5,4,1,8,7,6]=>[6,3,2,5,4,-1,8,7]
[4,5,2,3,1,8,7,6]=>[6,4,5,2,3,-1,8,7]
[5,4,3,2,1,8,7,6]=>[6,5,4,3,2,-1,8,7]
[6,4,3,1,2,8,7,5]=>[5,6,4,3,-1,2,8,7]
[7,4,3,1,8,2,6,5]=>[5,7,4,3,-1,8,2,6]
[8,4,3,1,7,6,2,5]=>[5,8,4,3,-1,7,6,2]
[1,4,3,8,7,6,5,2]=>[2,-1,4,3,8,7,6,5]
[1,5,8,3,7,6,4,2]=>[2,-1,5,8,3,7,6,4]
[8,5,1,3,7,6,2,4]=>[4,8,5,-1,3,7,6,2]
[7,5,1,3,8,2,6,4]=>[4,7,5,-1,3,8,2,6]
[6,5,1,3,2,8,7,4]=>[4,6,5,-1,3,2,8,7]
[5,6,1,2,3,8,7,4]=>[4,5,6,-1,2,3,8,7]
[4,6,2,1,3,8,7,5]=>[5,4,6,2,-1,3,8,7]
[3,2,6,1,4,8,7,5]=>[5,3,2,6,-1,4,8,7]
[3,2,7,1,8,4,6,5]=>[5,3,2,7,-1,8,4,6]
[4,7,2,1,8,3,6,5]=>[5,4,7,2,-1,8,3,6]
[5,7,1,2,8,3,6,4]=>[4,5,7,-1,2,8,3,6]
[6,7,1,8,2,3,5,4]=>[4,6,7,-1,8,2,3,5]
[7,6,1,8,3,2,5,4]=>[4,7,6,-1,8,3,2,5]
[8,6,1,7,3,5,2,4]=>[4,8,6,-1,7,3,5,2]
[1,6,8,7,3,5,4,2]=>[2,-1,6,8,7,3,5,4]
[1,7,8,6,5,3,4,2]=>[2,-1,7,8,6,5,3,4]
[8,7,1,6,5,3,2,4]=>[4,8,7,-1,6,5,3,2]
[7,8,1,6,5,2,3,4]=>[4,7,8,-1,6,5,2,3]
[6,8,1,7,2,5,3,4]=>[4,6,8,-1,7,2,5,3]
[5,8,1,2,7,6,3,4]=>[4,5,8,-1,2,7,6,3]
[4,8,2,1,7,6,3,5]=>[5,4,8,2,-1,7,6,3]
[3,2,8,1,7,6,4,5]=>[5,3,2,8,-1,7,6,4]
[3,2,1,8,7,6,5,4]=>[4,3,2,-1,8,7,6,5]
[4,1,2,8,7,6,5,3]=>[3,4,-1,2,8,7,6,5]
[5,1,8,2,7,6,4,3]=>[3,5,-1,8,2,7,6,4]
[6,1,8,7,2,5,4,3]=>[3,6,-1,8,7,2,5,4]
[7,1,8,6,5,2,4,3]=>[3,7,-1,8,6,5,2,4]
[8,1,7,6,5,4,2,3]=>[3,8,-1,7,6,5,4,2]
[1,8,7,6,5,4,3,2]=>[2,-1,8,7,6,5,4,3]
[5,4,2,3,7,6,1,8]=>[8,4,5,3,2,7,6,-1]
[6,4,2,7,3,5,1,8]=>[8,4,6,3,7,2,5,-1]
[7,4,2,6,3,5,1,8]=>[8,4,6,3,7,5,2,-1]
[8,4,2,6,3,1,5,7]=>[7,4,6,3,8,5,-1,2]
[1,4,2,6,3,8,5,7]=>[2,4,6,3,8,5,-1,7]
[1,5,6,2,3,8,4,7]=>[2,5,6,8,3,4,-1,7]
[8,5,6,2,3,1,4,7]=>[7,5,6,8,3,4,-1,2]
[7,5,6,2,3,4,1,8]=>[8,5,6,7,3,4,2,-1]
[6,5,7,2,3,4,1,8]=>[8,5,6,7,3,2,4,-1]
[3,2,7,6,4,5,1,8]=>[8,3,2,6,7,5,4,-1]
[4,7,2,6,3,5,1,8]=>[8,4,6,2,7,5,3,-1]
[5,7,6,2,3,4,1,8]=>[8,5,6,7,2,4,3,-1]
[6,7,5,2,3,4,1,8]=>[8,5,6,7,4,2,3,-1]
[7,6,5,2,3,4,1,8]=>[8,5,6,7,4,3,2,-1]
[8,6,5,2,3,1,4,7]=>[7,5,6,8,4,3,-1,2]
[1,6,5,2,3,8,4,7]=>[2,5,6,8,4,3,-1,7]
[1,7,5,2,8,3,4,6]=>[2,5,7,8,4,-1,3,6]
[8,7,5,2,1,3,4,6]=>[6,5,7,8,4,-1,3,2]
[7,8,5,2,1,3,4,6]=>[6,5,7,8,4,-1,2,3]
[6,8,5,2,3,1,4,7]=>[7,5,6,8,4,2,-1,3]
[5,8,6,2,3,1,4,7]=>[7,5,6,8,2,4,-1,3]
[4,8,2,6,3,1,5,7]=>[7,4,6,2,8,5,-1,3]
[3,2,8,6,4,1,5,7]=>[7,3,2,6,8,5,-1,4]
[3,2,1,6,4,8,5,7]=>[4,3,2,6,8,5,-1,7]
[4,1,2,6,3,8,5,7]=>[3,4,6,2,8,5,-1,7]
[5,1,6,2,3,8,4,7]=>[3,5,6,8,2,4,-1,7]
[6,1,5,2,3,8,4,7]=>[3,5,6,8,4,2,-1,7]
[7,1,5,2,8,3,4,6]=>[3,5,7,8,4,-1,2,6]
[8,1,5,2,7,3,4,6]=>[3,5,7,8,4,-1,6,2]
[1,8,5,2,7,3,4,6]=>[2,5,7,8,4,-1,6,3]
[1,8,6,7,2,3,4,5]=>[2,6,7,8,-1,4,5,3]
[8,1,6,7,2,3,4,5]=>[3,6,7,8,-1,4,5,2]
[7,1,6,8,2,3,4,5]=>[3,6,7,8,-1,4,2,5]
[6,1,7,8,2,3,4,5]=>[3,6,7,8,-1,2,4,5]
[5,1,7,2,8,3,4,6]=>[3,5,7,8,2,-1,4,6]
[4,1,2,7,8,3,5,6]=>[3,4,7,2,8,-1,5,6]
[3,2,1,7,8,4,5,6]=>[4,3,2,7,8,-1,5,6]
[3,2,8,7,1,4,5,6]=>[6,3,2,7,8,-1,5,4]
[4,8,2,7,1,3,5,6]=>[6,4,7,2,8,-1,5,3]
[5,8,7,2,1,3,4,6]=>[6,5,7,8,2,-1,4,3]
[6,8,7,1,2,3,4,5]=>[5,6,7,8,-1,2,4,3]
[7,8,6,1,2,3,4,5]=>[5,6,7,8,-1,4,2,3]
[8,7,6,1,2,3,4,5]=>[5,6,7,8,-1,4,3,2]
[1,7,6,8,2,3,4,5]=>[2,6,7,8,-1,4,3,5]
[1,6,7,8,2,3,4,5]=>[2,6,7,8,-1,3,4,5]
[8,6,7,1,2,3,4,5]=>[5,6,7,8,-1,3,4,2]
[7,6,8,1,2,3,4,5]=>[5,6,7,8,-1,3,2,4]
[6,5,8,2,3,1,4,7]=>[7,5,6,8,3,2,-1,4]
[7,5,8,2,1,3,4,6]=>[6,5,7,8,3,-1,2,4]
[8,5,7,2,1,3,4,6]=>[6,5,7,8,3,-1,4,2]
[1,5,7,2,8,3,4,6]=>[2,5,7,8,3,-1,4,6]
[1,4,2,7,8,3,5,6]=>[2,4,7,3,8,-1,5,6]
[8,4,2,7,1,3,5,6]=>[6,4,7,3,8,-1,5,2]
[7,4,2,8,1,3,5,6]=>[6,4,7,3,8,-1,2,5]
[6,4,2,8,3,1,5,7]=>[7,4,6,3,8,2,-1,5]
[5,4,2,3,8,1,6,7]=>[7,4,5,3,2,8,-1,6]
[3,2,5,4,1,8,6,7]=>[6,3,2,5,4,8,-1,7]
[4,5,2,3,1,8,6,7]=>[6,4,5,2,3,8,-1,7]
[5,4,2,3,1,8,6,7]=>[6,4,5,3,2,8,-1,7]
[6,4,2,1,3,8,5,7]=>[5,4,6,3,8,2,-1,7]
[7,4,2,1,8,3,5,6]=>[5,4,7,3,8,-1,2,6]
[8,4,2,1,7,3,5,6]=>[5,4,7,3,8,-1,6,2]
[1,4,2,8,7,3,5,6]=>[2,4,7,3,8,-1,6,5]
[1,5,8,2,7,3,4,6]=>[2,5,7,8,3,-1,6,4]
[8,5,1,2,7,3,4,6]=>[4,5,7,8,3,-1,6,2]
[7,5,1,2,8,3,4,6]=>[4,5,7,8,3,-1,2,6]
[6,5,1,2,3,8,4,7]=>[4,5,6,8,3,2,-1,7]
[5,6,1,2,3,8,4,7]=>[4,5,6,8,2,3,-1,7]
[4,6,2,1,3,8,5,7]=>[5,4,6,2,8,3,-1,7]
[3,2,6,1,4,8,5,7]=>[5,3,2,6,8,4,-1,7]
[3,2,7,1,8,4,5,6]=>[5,3,2,7,8,-1,4,6]
[4,7,2,1,8,3,5,6]=>[5,4,7,2,8,-1,3,6]
[5,7,1,2,8,3,4,6]=>[4,5,7,8,2,-1,3,6]
[6,7,1,8,2,3,4,5]=>[4,6,7,8,-1,2,3,5]
[7,6,1,8,2,3,4,5]=>[4,6,7,8,-1,3,2,5]
[8,6,1,7,2,3,4,5]=>[4,6,7,8,-1,3,5,2]
[1,6,8,7,2,3,4,5]=>[2,6,7,8,-1,3,5,4]
[1,7,8,6,2,3,4,5]=>[2,6,7,8,-1,5,3,4]
[8,7,1,6,2,3,4,5]=>[4,6,7,8,-1,5,3,2]
[7,8,1,6,2,3,4,5]=>[4,6,7,8,-1,5,2,3]
[6,8,1,7,2,3,4,5]=>[4,6,7,8,-1,2,5,3]
[5,8,1,2,7,3,4,6]=>[4,5,7,8,2,-1,6,3]
[4,8,2,1,7,3,5,6]=>[5,4,7,2,8,-1,6,3]
[3,2,8,1,7,4,5,6]=>[5,3,2,7,8,-1,6,4]
[3,2,1,8,7,4,5,6]=>[4,3,2,7,8,-1,6,5]
[4,1,2,8,7,3,5,6]=>[3,4,7,2,8,-1,6,5]
[5,1,8,2,7,3,4,6]=>[3,5,7,8,2,-1,6,4]
[6,1,8,7,2,3,4,5]=>[3,6,7,8,-1,2,5,4]
[7,1,8,6,2,3,4,5]=>[3,6,7,8,-1,5,2,4]
[8,1,7,6,2,3,4,5]=>[3,6,7,8,-1,5,4,2]
[1,8,7,6,2,3,4,5]=>[2,6,7,8,-1,5,4,3]
[2,4,6,8,1,3,5,7]=>[6,2,7,3,8,4,-1,5]
[3,1,4,6,8,2,5,7]=>[3,7,2,4,8,5,-1,6]
[4,3,2,6,8,1,5,7]=>[7,4,3,2,8,5,-1,6]
[3,2,5,1,6,8,4,7]=>[5,3,2,8,4,6,-1,7]
[3,6,2,5,4,8,1,7]=>[8,4,2,6,5,3,-1,7]
[3,5,2,4,7,1,8,6]=>[7,4,2,5,3,-1,6,8]
[3,5,8,2,4,7,6,1]=>[-1,5,2,6,3,8,7,4]
[4,2,5,8,3,7,6,1]=>[-1,3,6,2,4,8,7,5]
[4,2,6,5,3,8,1,7]=>[8,3,6,2,5,4,-1,7]
[5,4,2,1,6,8,3,7]=>[5,4,8,3,2,6,-1,7]
[4,1,5,2,6,8,3,7]=>[3,5,8,2,4,6,-1,7]
[5,3,1,6,8,2,4,7]=>[4,7,3,8,2,5,-1,6]
[5,6,2,8,1,3,4,7]=>[6,4,7,8,2,3,-1,5]
[6,5,2,4,8,1,3,7]=>[7,4,8,5,3,2,-1,6]
[6,3,5,1,4,8,2,7]=>[5,8,3,6,4,2,-1,7]
[4,6,1,5,3,8,2,7]=>[4,8,6,2,5,3,-1,7]
[5,1,6,4,3,8,2,7]=>[3,8,6,5,2,4,-1,7]
[6,5,4,3,2,8,1,7]=>[8,6,5,4,3,2,-1,7]
[5,4,3,2,7,1,8,6]=>[7,5,4,3,2,-1,6,8]
[5,4,3,8,2,7,6,1]=>[-1,6,4,3,2,8,7,5]
[4,3,6,2,8,7,5,1]=>[-1,5,3,2,8,4,7,6]
[4,3,7,6,2,1,8,5]=>[7,6,3,2,-1,5,4,8]
[6,4,3,1,7,2,8,5]=>[5,7,4,3,-1,2,6,8]
[7,5,4,3,1,8,2,6]=>[6,8,5,4,3,-1,2,7]
[1,4,7,5,8,3,2,6]=>[2,8,7,3,5,-1,4,6]
[7,1,3,5,8,4,2,6]=>[3,8,4,7,5,-1,2,6]
[7,2,5,8,4,1,3,6]=>[7,3,8,6,4,-1,2,5]
[2,8,5,7,4,6,1,3]=>[8,2,-1,6,4,7,5,3]
[3,5,8,7,1,4,6,2]=>[6,-1,2,7,3,8,5,4]
[1,4,5,8,7,3,6,2]=>[2,-1,7,3,4,8,6,5]
[1,5,4,8,7,3,6,2]=>[2,-1,7,4,3,8,6,5]
[6,4,3,8,1,7,5,2]=>[6,-1,4,3,8,2,7,5]
[4,3,7,1,8,6,5,2]=>[5,-1,3,2,8,7,4,6]
[4,8,3,7,6,5,2,1]=>[-1,8,4,2,7,6,5,3]
[5,3,8,7,6,4,2,1]=>[-1,8,3,7,2,6,5,4]
[7,5,3,1,8,6,4,2]=>[5,-1,4,8,3,7,2,6]
[1,8,6,5,3,7,4,2]=>[2,-1,6,8,5,4,7,3]
[1,5,8,6,3,7,4,2]=>[2,-1,6,8,3,5,7,4]
[4,6,1,8,7,3,5,2]=>[4,-1,7,2,8,3,6,5]
[6,8,7,3,1,4,5,2]=>[6,-1,5,7,8,2,4,3]
[6,2,8,7,4,5,1,3]=>[8,3,-1,6,7,2,5,4]
[7,6,2,8,4,1,3,5]=>[7,4,8,6,-1,3,2,5]
[7,3,1,6,8,4,2,5]=>[4,8,3,7,-1,5,2,6]
[1,7,6,4,8,3,2,5]=>[2,8,7,5,-1,4,3,6]
[5,7,1,6,3,2,8,4]=>[4,7,6,-1,2,5,3,8]
[6,1,7,5,3,2,8,4]=>[3,7,6,-1,5,2,4,8]
[7,6,5,3,2,1,8,4]=>[7,6,5,-1,4,3,2,8]
[6,5,3,2,8,7,4,1]=>[-1,5,4,8,3,2,7,6]
[5,2,6,3,8,7,4,1]=>[-1,3,5,8,2,4,7,6]
[5,2,7,6,3,1,8,4]=>[7,3,6,-1,2,5,4,8]
[6,5,2,1,7,3,8,4]=>[5,4,7,-1,3,2,6,8]
[6,1,7,4,2,8,3,5]=>[3,6,8,5,-1,2,4,7]
[3,6,1,7,2,8,4,5]=>[4,6,2,8,-1,3,5,7]
[6,7,2,1,8,3,4,5]=>[5,4,7,8,-1,2,3,6]
[5,7,3,1,8,2,4,6]=>[5,7,4,8,2,-1,3,6]
[4,7,1,5,2,8,3,6]=>[4,6,8,2,5,-1,3,7]
[5,2,7,4,1,8,3,6]=>[6,3,8,5,2,-1,4,7]
[4,7,2,6,3,1,8,5]=>[7,4,6,2,-1,5,3,8]
[2,4,8,6,3,7,5,1]=>[-1,2,6,3,8,5,7,4]
[3,8,6,2,4,7,5,1]=>[-1,5,2,6,8,4,7,3]
[7,3,6,2,4,1,8,5]=>[7,5,3,6,-1,4,2,8]
[3,6,7,2,1,4,8,5]=>[6,5,2,7,-1,3,4,8]
[4,3,7,8,2,1,5,6]=>[7,6,3,2,8,-1,4,5]
[3,4,7,1,8,2,5,6]=>[5,7,2,3,8,-1,4,6]
[7,8,2,4,1,3,5,6]=>[6,4,7,5,8,-1,2,3]
[8,7,2,4,6,1,3,5]=>[7,4,8,5,-1,6,3,2]
[8,3,7,1,4,6,2,5]=>[5,8,3,6,-1,7,4,2]
[4,8,3,7,2,6,1,5]=>[8,6,4,2,-1,7,5,3]
[3,8,2,5,7,1,6,4]=>[7,4,2,-1,5,8,6,3]
[8,3,6,2,7,1,5,4]=>[7,5,3,-1,8,4,6,2]
[7,8,3,6,2,1,5,4]=>[7,6,4,-1,8,5,2,3]
[8,7,3,6,2,5,4,1]=>[-1,6,4,8,7,5,3,2]
[4,7,8,2,1,6,5,3]=>[6,5,-1,2,8,7,3,4]
[4,2,6,8,1,7,5,3]=>[6,3,-1,2,8,4,7,5]
[5,4,8,2,7,1,6,3]=>[7,5,-1,3,2,8,6,4]
[4,8,1,5,7,2,6,3]=>[4,7,-1,2,5,8,6,3]
[5,8,3,7,1,6,2,4]=>[6,8,4,-1,2,7,5,3]
[5,8,7,2,6,1,3,4]=>[7,5,8,-1,2,6,4,3]
[8,6,2,7,5,1,3,4]=>[7,4,8,-1,6,3,5,2]
[3,6,8,1,7,5,2,4]=>[5,8,2,-1,7,3,6,4]
[5,1,6,8,2,7,4,3]=>[3,6,-1,8,2,4,7,5]
[6,5,2,8,1,7,4,3]=>[6,4,-1,8,3,2,7,5]
[5,2,7,1,8,6,4,3]=>[5,3,-1,8,2,7,4,6]
[5,8,2,7,6,4,3,1]=>[-1,4,8,7,2,6,5,3]
[6,2,8,7,5,4,3,1]=>[-1,3,8,7,6,2,5,4]
[7,6,2,1,8,5,4,3]=>[5,4,-1,8,7,3,2,6]
[6,1,7,2,8,5,4,3]=>[3,5,-1,8,7,2,4,6]
[7,5,1,8,2,6,4,3]=>[4,6,-1,8,3,7,2,5]
[4,7,1,8,6,2,5,3]=>[4,7,-1,2,8,6,3,5]
[7,8,3,1,6,5,2,4]=>[5,8,4,-1,7,6,2,3]
[7,8,6,5,2,1,3,4]=>[7,6,8,-1,5,4,2,3]
[8,7,6,5,2,4,1,3]=>[8,6,-1,7,5,4,3,2]
[8,7,6,3,5,1,4,2]=>[7,-1,5,8,6,4,3,2]
[8,7,4,6,1,5,3,2]=>[6,-1,8,4,7,5,3,2]
[8,5,7,1,6,4,3,2]=>[5,-1,8,7,3,6,4,2]
[6,8,1,7,5,4,3,2]=>[4,-1,8,7,6,2,5,3]
[7,1,8,6,5,4,3,2]=>[3,-1,8,7,6,5,2,4]
[3,4,2,6,8,1,5,7]=>[7,4,2,3,8,5,-1,6]
[5,3,6,2,8,1,4,7]=>[7,5,3,8,2,4,-1,6]
[5,3,6,2,4,8,1,7]=>[8,5,3,6,2,4,-1,7]
[5,7,3,8,2,4,1,6]=>[8,6,4,7,2,-1,3,5]
[5,7,3,8,2,4,6,1]=>[-1,6,4,7,2,8,3,5]
[7,4,2,5,8,3,6,1]=>[-1,4,7,3,5,8,2,6]
[7,4,2,5,8,3,1,6]=>[8,4,7,3,5,-1,2,6]
[4,5,2,6,3,8,1,7]=>[8,4,6,2,3,5,-1,7]
[4,5,2,1,6,8,3,7]=>[5,4,8,2,3,6,-1,7]
[5,6,2,4,8,1,3,7]=>[7,4,8,5,2,3,-1,6]
[3,5,6,1,4,8,2,7]=>[5,8,2,6,3,4,-1,7]
[4,1,5,6,3,8,2,7]=>[3,8,6,2,4,5,-1,7]
[4,5,1,6,3,8,2,7]=>[4,8,6,2,3,5,-1,7]
[4,5,6,3,2,8,1,7]=>[8,6,5,2,3,4,-1,7]
[7,4,5,3,8,2,1,6]=>[8,7,5,3,4,-1,2,6]
[7,4,5,3,8,2,6,1]=>[-1,7,5,3,4,8,2,6]
[6,7,4,8,3,2,5,1]=>[-1,7,6,4,8,2,3,5]
[6,7,4,8,3,2,1,5]=>[8,7,6,4,-1,2,3,5]
[6,7,4,1,8,3,2,5]=>[5,8,7,4,-1,2,3,6]
[7,4,5,3,1,8,2,6]=>[6,8,5,3,4,-1,2,7]
[4,7,1,5,8,3,2,6]=>[4,8,7,2,5,-1,3,6]
[5,3,7,8,1,4,2,6]=>[6,8,3,7,2,-1,4,5]
[7,5,8,2,4,1,3,6]=>[7,5,8,6,3,-1,2,4]
[7,5,8,2,4,6,1,3]=>[8,5,-1,6,3,7,2,4]
[7,3,5,8,1,4,6,2]=>[6,-1,3,7,4,8,2,5]
[4,5,1,7,8,3,6,2]=>[4,-1,7,2,3,8,5,6]
[6,7,4,3,8,1,5,2]=>[7,-1,5,4,8,2,3,6]
[6,7,4,8,3,1,5,2]=>[7,-1,6,4,8,2,3,5]
[6,7,4,8,3,5,2,1]=>[-1,8,6,4,7,2,3,5]
[5,6,7,3,8,4,2,1]=>[-1,8,5,7,2,3,4,6]
[5,6,7,3,1,8,4,2]=>[6,-1,5,8,2,3,4,7]
[5,6,1,7,3,8,4,2]=>[4,-1,6,8,2,3,5,7]
[5,1,6,7,3,8,4,2]=>[3,-1,6,8,2,4,5,7]
[6,4,7,1,8,3,5,2]=>[5,-1,7,3,8,2,4,6]
[6,7,8,3,1,4,5,2]=>[6,-1,5,7,8,2,3,4]
[6,7,2,8,4,5,1,3]=>[8,4,-1,6,7,2,3,5]
[6,7,2,8,4,1,3,5]=>[7,4,8,6,-1,2,3,5]
[6,1,7,4,8,3,2,5]=>[3,8,7,5,-1,2,4,6]
[5,1,6,7,3,2,8,4]=>[3,7,6,-1,2,4,5,8]
[5,6,1,7,3,2,8,4]=>[4,7,6,-1,2,3,5,8]
[5,6,7,3,2,1,8,4]=>[7,6,5,-1,2,3,4,8]
[5,6,7,3,2,8,4,1]=>[-1,6,5,8,2,3,4,7]
[5,6,2,7,3,8,4,1]=>[-1,4,6,8,2,3,5,7]
[5,6,2,7,3,1,8,4]=>[7,4,6,-1,2,3,5,8]
[5,6,2,1,7,3,8,4]=>[5,4,7,-1,2,3,6,8]
[7,4,2,5,1,8,3,6]=>[6,4,8,3,5,-1,2,7]
[6,7,4,2,1,8,3,5]=>[6,5,8,4,-1,2,3,7]
[6,7,4,2,8,3,1,5]=>[8,5,7,4,-1,2,3,6]
[6,7,4,2,8,3,5,1]=>[-1,5,7,4,8,2,3,6]
[3,6,7,2,8,4,5,1]=>[-1,5,2,7,8,3,4,6]
[3,6,7,2,8,4,1,5]=>[8,5,2,7,-1,3,4,6]
[3,6,7,2,1,8,4,5]=>[6,5,2,8,-1,3,4,7]
[5,7,3,8,2,1,4,6]=>[7,6,4,8,2,-1,3,5]
[3,4,7,8,2,1,5,6]=>[7,6,2,3,8,-1,4,5]
[7,8,2,4,6,1,3,5]=>[7,4,8,5,-1,6,2,3]
[3,7,8,1,4,6,2,5]=>[5,8,2,6,-1,7,3,4]
[3,4,7,8,2,6,1,5]=>[8,6,2,3,-1,7,4,5]
[5,7,3,8,2,6,1,4]=>[8,6,4,-1,2,7,3,5]
[3,6,7,2,8,5,1,4]=>[8,5,2,-1,7,3,4,6]
[3,6,7,8,5,2,1,4]=>[8,7,2,-1,6,3,4,5]
[3,6,7,8,5,2,4,1]=>[-1,7,2,8,6,3,4,5]
[6,4,7,8,2,5,3,1]=>[-1,6,8,3,7,2,4,5]
[6,4,7,8,2,1,5,3]=>[7,6,-1,3,8,2,4,5]
[4,1,5,7,8,2,6,3]=>[3,7,-1,2,4,8,5,6]
[5,3,7,8,1,6,2,4]=>[6,8,3,-1,2,7,4,5]
[7,5,8,2,6,1,3,4]=>[7,5,8,-1,3,6,2,4]
[6,7,2,8,5,1,3,4]=>[7,4,8,-1,6,2,3,5]
[6,4,1,7,8,2,5,3]=>[4,7,-1,3,8,2,5,6]
[5,1,6,2,7,8,4,3]=>[3,5,-1,8,2,4,6,7]
[5,6,2,1,7,8,4,3]=>[5,4,-1,8,2,3,6,7]
[5,6,2,7,1,8,4,3]=>[6,4,-1,8,2,3,5,7]
[5,6,2,7,8,4,3,1]=>[-1,4,8,7,2,3,5,6]
[5,6,7,2,8,4,3,1]=>[-1,5,8,7,2,3,4,6]
[5,6,7,2,1,8,4,3]=>[6,5,-1,8,2,3,4,7]
[5,6,1,7,2,8,4,3]=>[4,6,-1,8,2,3,5,7]
[5,1,6,7,2,8,4,3]=>[3,6,-1,8,2,4,5,7]
[6,4,7,1,8,2,5,3]=>[5,7,-1,3,8,2,4,6]
[3,6,7,1,8,5,2,4]=>[5,8,2,-1,7,3,4,6]
[6,7,8,5,2,1,3,4]=>[7,6,8,-1,5,2,3,4]
[6,7,8,5,2,4,1,3]=>[8,6,-1,7,5,2,3,4]
[6,7,8,3,5,1,4,2]=>[7,-1,5,8,6,2,3,4]
[4,6,7,8,1,5,3,2]=>[6,-1,8,2,7,3,4,5]
[5,6,7,1,8,4,3,2]=>[5,-1,8,7,2,3,4,6]
[4,6,3,5,1,2,8,7]=>[6,7,4,2,5,3,-1,8]
[6,5,3,8,2,7,1,4]=>[8,6,4,-1,3,2,7,5]
[6,8,1,4,5,7,3,2]=>[4,-1,8,5,6,2,7,3]
[3,7,8,4,5,1,2,6]=>[7,8,2,5,6,-1,3,4]
[2,1,6,8,5,7,3,4]=>[3,2,8,-1,6,4,7,5]
[5,6,3,8,1,7,2,4]=>[6,8,4,-1,2,3,7,5]
[3,7,6,4,5,8,2,1]=>[-1,8,2,5,6,4,3,7]
[5,1,8,4,7,6,2,3]=>[3,8,-1,5,2,7,6,4]
[2,5,8,4,7,6,1,3]=>[8,2,-1,5,3,7,6,4]
[3,8,7,4,2,6,1,5]=>[8,6,2,5,-1,7,4,3]
[4,8,3,6,2,1,7,5]=>[7,6,4,2,-1,5,8,3]
[5,8,3,2,6,1,7,4]=>[7,5,4,-1,2,6,8,3]
[4,5,3,8,6,2,7,1]=>[-1,7,4,2,3,6,8,5]
[3,5,8,4,7,6,2,1]=>[-1,8,2,5,3,7,6,4]
[5,8,2,4,7,6,1,3]=>[8,4,-1,5,2,7,6,3]
[2,3,4,1,6,5,8,7]=>[5,2,3,4,7,6,-1,8]
[6,3,5,1,2,4,8,7]=>[5,6,3,7,4,2,-1,8]
[4,3,5,6,1,2,8,7]=>[6,7,3,2,4,5,-1,8]
[8,3,7,5,2,1,4,6]=>[7,6,3,8,5,-1,4,2]
[6,3,7,5,1,8,4,2]=>[6,-1,3,8,5,2,4,7]
[6,5,2,7,1,8,3,4]=>[6,4,8,-1,3,2,5,7]
[8,5,2,7,4,1,3,6]=>[7,4,8,6,3,-1,5,2]
[2,6,1,5,4,3,8,7]=>[4,2,7,6,5,3,-1,8]
[2,1,4,5,6,3,8,7]=>[3,2,7,4,5,6,-1,8]
[6,4,3,5,1,2,8,7]=>[6,7,4,3,5,2,-1,8]
[5,3,1,4,6,2,8,7]=>[4,7,3,5,2,6,-1,8]
[3,1,4,6,5,2,8,7]=>[3,7,2,4,6,5,-1,8]
[2,3,4,5,6,1,8,7]=>[7,2,3,4,5,6,-1,8]
[8,3,4,5,7,1,2,6]=>[7,8,3,4,5,-1,6,2]
[6,3,4,5,7,8,1,2]=>[8,-1,3,4,5,2,6,7]
[5,7,4,6,2,8,3,1]=>[-1,6,8,4,2,5,3,7]
[2,8,4,6,1,7,3,5]=>[6,2,8,4,-1,5,7,3]
[8,1,4,7,2,6,3,5]=>[3,6,8,4,-1,7,5,2]
[3,4,7,8,5,2,1,6]=>[8,7,2,3,6,-1,4,5]
[5,7,2,4,8,1,3,6]=>[7,4,8,5,2,-1,3,6]
[7,8,3,5,1,2,4,6]=>[6,7,4,8,5,-1,2,3]
[2,1,8,5,7,3,4,6]=>[3,2,7,8,5,-1,6,4]
[2,1,6,5,7,8,3,4]=>[3,2,8,-1,5,4,6,7]
[8,6,3,5,1,7,4,2]=>[6,-1,4,8,5,3,7,2]
[5,8,2,4,6,7,3,1]=>[-1,4,8,5,2,6,7,3]
[3,4,8,6,5,7,1,2]=>[8,-1,2,3,6,5,7,4]
[7,5,4,8,1,6,3,2]=>[6,-1,8,4,3,7,2,5]
[5,1,4,6,8,2,7,3]=>[3,7,-1,4,2,5,8,6]
[2,5,4,6,7,1,8,3]=>[7,2,-1,4,3,5,6,8]
[2,4,6,3,7,5,8,1]=>[-1,2,5,3,7,4,6,8]
[4,1,6,3,8,5,7,2]=>[3,-1,5,2,7,4,8,6]
[3,7,4,2,8,6,5,1]=>[-1,5,2,4,8,7,3,6]
[7,4,1,3,5,8,6,2]=>[4,-1,5,3,6,8,2,7]
[6,5,8,4,1,7,3,2]=>[6,-1,8,5,3,2,7,4]
[8,5,3,7,4,1,6,2]=>[7,-1,4,6,3,8,5,2]
[2,1,4,8,3,7,6,5]=>[3,2,6,4,-1,8,7,5]
[7,4,3,8,2,1,6,5]=>[7,6,4,3,-1,8,2,5]
[6,3,7,4,1,8,2,5]=>[6,8,3,5,-1,2,4,7]
[8,3,1,2,5,7,6,4]=>[4,5,3,-1,6,8,7,2]
[3,1,8,2,7,6,5,4]=>[3,5,2,-1,8,7,6,4]
[2,3,8,1,6,7,5,4]=>[5,2,3,-1,8,6,7,4]
[4,3,7,2,6,8,5,1]=>[-1,5,3,2,8,6,4,7]
[4,7,2,3,8,5,6,1]=>[-1,4,5,2,7,8,3,6]
[3,8,2,1,7,5,6,4]=>[5,4,2,-1,7,8,6,3]
[2,8,1,3,6,5,7,4]=>[4,2,5,-1,7,6,8,3]
[2,7,8,5,4,3,1,6]=>[8,2,7,6,5,-1,3,4]
[8,7,1,6,3,4,2,5]=>[4,8,6,7,-1,5,3,2]
[3,8,6,7,2,4,1,5]=>[8,6,2,7,-1,4,5,3]
[5,3,8,7,4,2,6,1]=>[-1,7,3,6,2,8,5,4]
[4,3,8,7,2,1,6,5]=>[7,6,3,2,-1,8,5,4]
[8,3,6,1,4,2,7,5]=>[5,7,3,6,-1,4,8,2]
[7,3,5,8,2,4,1,6]=>[8,6,3,7,4,-1,2,5]
[2,3,4,1,8,5,7,6]=>[5,2,3,4,7,-1,8,6]
[2,1,4,3,6,7,8,5]=>[3,2,5,4,-1,6,7,8]
[4,1,3,2,6,7,8,5]=>[3,5,4,2,-1,6,7,8]
[8,3,5,6,2,7,1,4]=>[8,6,3,-1,4,5,7,2]
[7,3,6,5,1,2,8,4]=>[6,7,3,-1,5,4,2,8]
[5,3,6,1,8,7,2,4]=>[5,8,3,-1,2,4,7,6]
[4,3,5,6,7,8,1,2]=>[8,-1,3,2,4,5,6,7]
[5,6,2,8,7,4,1,3]=>[8,4,-1,7,2,3,6,5]
[7,8,5,6,1,4,2,3]=>[6,8,-1,7,4,5,2,3]
[2,8,6,5,4,7,1,3]=>[8,2,-1,6,5,4,7,3]
[8,1,6,4,5,7,2,3]=>[3,8,-1,5,6,4,7,2]
[5,8,3,6,1,7,2,4]=>[6,8,4,-1,2,5,7,3]
[2,1,8,6,5,7,3,4]=>[3,2,8,-1,6,5,7,4]
[2,1,7,5,3,6,8,4]=>[3,2,6,-1,5,7,4,8]
[6,7,3,5,2,1,8,4]=>[7,6,4,-1,5,2,3,8]
[8,7,5,4,2,6,1,3]=>[8,6,-1,5,4,7,3,2]
[7,1,4,2,5,6,8,3]=>[3,5,-1,4,6,7,2,8]
[2,7,4,1,6,5,8,3]=>[5,2,-1,4,7,6,3,8]
[4,6,1,2,8,7,3,5]=>[4,5,8,2,-1,3,7,6]
[3,4,6,1,7,8,2,5]=>[5,8,2,3,-1,4,6,7]
[3,4,2,5,7,8,6,1]=>[-1,4,2,3,5,8,6,7]
[2,4,1,5,8,7,6,3]=>[4,2,-1,3,5,8,7,6]
[4,1,2,5,8,6,7,3]=>[3,4,-1,2,5,7,8,6]
[6,4,2,1,5,8,7,3]=>[5,4,-1,3,6,2,8,7]
[8,5,2,4,6,1,7,3]=>[7,4,-1,5,3,6,8,2]
[7,5,3,2,6,8,1,4]=>[8,5,4,-1,3,6,2,7]
[2,1,5,3,6,8,7,4]=>[3,2,5,-1,4,6,8,7]
[2,1,4,5,6,7,8,3]=>[3,2,-1,4,5,6,7,8]
[8,4,3,5,6,7,1,2]=>[8,-1,4,3,5,6,7,2]
[7,3,5,4,6,1,8,2]=>[7,-1,3,5,4,6,2,8]
[6,3,4,1,5,7,8,2]=>[5,-1,3,4,6,2,7,8]
[4,3,1,5,7,6,8,2]=>[4,-1,3,2,5,7,6,8]
[3,1,4,5,6,8,7,2]=>[3,-1,2,4,5,6,8,7]
[2,3,4,5,6,7,8,1]=>[-1,2,3,4,5,6,7,8]
[3,1,2,6,5,8,7,4]=>[3,4,2,-1,6,5,8,7]
[3,1,6,2,4,8,7,5]=>[3,5,2,6,-1,4,8,7]
[3,1,5,2,4,8,7,6]=>[3,5,2,6,4,-1,8,7]
[3,1,5,2,8,4,6,7]=>[3,5,2,7,4,8,-1,6]
[3,1,5,2,7,4,6,8]=>[3,5,2,7,4,8,6,-1]
[4,5,1,2,7,3,6,8]=>[4,5,7,2,3,8,6,-1]
[4,5,1,2,8,3,6,7]=>[4,5,7,2,3,8,-1,6]
[4,5,1,2,3,8,7,6]=>[4,5,6,2,3,-1,8,7]
[4,6,1,2,3,8,7,5]=>[4,5,6,2,-1,3,8,7]
[1,6,5,3,4,8,7,2]=>[2,-1,5,6,4,3,8,7]
[6,1,5,2,4,8,7,3]=>[3,5,-1,6,4,2,8,7]
[6,5,1,2,3,8,7,4]=>[4,5,6,-1,3,2,8,7]
[6,4,1,2,3,8,7,5]=>[4,5,6,3,-1,2,8,7]
[5,4,1,2,3,8,7,6]=>[4,5,6,3,2,-1,8,7]
[5,4,1,2,8,3,6,7]=>[4,5,7,3,2,8,-1,6]
[5,4,1,2,7,3,6,8]=>[4,5,7,3,2,8,6,-1]
[6,4,1,7,2,3,5,8]=>[4,6,7,3,8,2,5,-1]
[6,4,1,8,2,3,5,7]=>[4,6,7,3,8,2,-1,5]
[7,4,1,8,2,3,5,6]=>[4,6,7,3,8,-1,2,5]
[7,4,1,2,8,3,6,5]=>[4,5,7,3,-1,8,2,6]
[7,5,1,2,8,3,6,4]=>[4,5,7,-1,3,8,2,6]
[7,1,5,2,8,4,6,3]=>[3,5,-1,7,4,8,2,6]
[1,7,5,3,8,4,6,2]=>[2,-1,5,7,4,8,3,6]
[1,8,5,3,7,4,6,2]=>[2,-1,5,7,4,8,6,3]
[8,1,5,2,7,4,6,3]=>[3,5,-1,7,4,8,6,2]
[8,5,1,2,7,3,6,4]=>[4,5,7,-1,3,8,6,2]
[8,4,1,2,7,3,6,5]=>[4,5,7,3,-1,8,6,2]
[8,4,1,7,2,3,5,6]=>[4,6,7,3,8,-1,5,2]
[8,4,1,6,2,3,5,7]=>[4,6,7,3,8,5,-1,2]
[7,4,1,6,2,3,5,8]=>[4,6,7,3,8,5,2,-1]
[7,5,6,1,2,3,4,8]=>[5,6,7,8,3,4,2,-1]
[8,5,6,1,2,3,4,7]=>[5,6,7,8,3,4,-1,2]
[8,5,7,1,2,3,4,6]=>[5,6,7,8,3,-1,4,2]
[8,6,1,7,2,3,5,4]=>[4,6,7,-1,8,3,5,2]
[8,1,6,7,2,4,5,3]=>[3,6,-1,7,8,4,5,2]
[1,8,6,7,3,4,5,2]=>[2,-1,6,7,8,4,5,3]
[1,7,6,8,3,4,5,2]=>[2,-1,6,7,8,4,3,5]
[7,1,6,8,2,4,5,3]=>[3,6,-1,7,8,4,2,5]
[7,6,1,8,2,3,5,4]=>[4,6,7,-1,8,3,2,5]
[7,5,8,1,2,3,4,6]=>[5,6,7,8,3,-1,2,4]
[6,5,8,1,2,3,4,7]=>[5,6,7,8,3,2,-1,4]
[6,5,7,1,2,3,4,8]=>[5,6,7,8,3,2,4,-1]
[5,6,7,1,2,3,4,8]=>[5,6,7,8,2,3,4,-1]
[5,6,8,1,2,3,4,7]=>[5,6,7,8,2,3,-1,4]
[5,7,8,1,2,3,4,6]=>[5,6,7,8,2,-1,3,4]
[4,7,1,2,8,3,6,5]=>[4,5,7,2,-1,8,3,6]
[4,7,1,8,2,3,5,6]=>[4,6,7,2,8,-1,3,5]
[4,6,1,8,2,3,5,7]=>[4,6,7,2,8,3,-1,5]
[4,6,1,7,2,3,5,8]=>[4,6,7,2,8,3,5,-1]
[3,1,6,7,2,4,5,8]=>[3,6,2,7,8,4,5,-1]
[3,1,6,8,2,4,5,7]=>[3,6,2,7,8,4,-1,5]
[3,1,7,8,2,4,5,6]=>[3,6,2,7,8,-1,4,5]
[3,1,7,2,8,4,6,5]=>[3,5,2,7,-1,8,4,6]
[3,1,2,7,8,5,6,4]=>[3,4,2,-1,7,8,5,6]
[1,4,3,8,7,5,6,2]=>[2,-1,4,3,7,8,6,5]
[4,1,2,8,7,5,6,3]=>[3,4,-1,2,7,8,6,5]
[3,1,2,8,7,5,6,4]=>[3,4,2,-1,7,8,6,5]
[3,1,8,2,7,4,6,5]=>[3,5,2,7,-1,8,6,4]
[3,1,8,7,2,4,5,6]=>[3,6,2,7,8,-1,5,4]
[3,1,8,6,2,4,5,7]=>[3,6,2,7,8,5,-1,4]
[3,1,7,6,2,4,5,8]=>[3,6,2,7,8,5,4,-1]
[4,7,1,6,2,3,5,8]=>[4,6,7,2,8,5,3,-1]
[4,8,1,6,2,3,5,7]=>[4,6,7,2,8,5,-1,3]
[4,8,1,7,2,3,5,6]=>[4,6,7,2,8,-1,5,3]
[4,8,1,2,7,3,6,5]=>[4,5,7,2,-1,8,6,3]
[5,8,1,2,7,3,6,4]=>[4,5,7,-1,2,8,6,3]
[5,1,8,2,7,4,6,3]=>[3,5,-1,7,2,8,6,4]
[1,5,8,3,7,4,6,2]=>[2,-1,5,7,3,8,6,4]
[1,6,8,7,3,4,5,2]=>[2,-1,6,7,8,3,5,4]
[6,1,8,7,2,4,5,3]=>[3,6,-1,7,8,2,5,4]
[6,8,1,7,2,3,5,4]=>[4,6,7,-1,8,2,5,3]
[5,8,7,1,2,3,4,6]=>[5,6,7,8,2,-1,4,3]
[5,8,6,1,2,3,4,7]=>[5,6,7,8,2,4,-1,3]
[5,7,6,1,2,3,4,8]=>[5,6,7,8,2,4,3,-1]
[6,7,5,1,2,3,4,8]=>[5,6,7,8,4,2,3,-1]
[6,8,5,1,2,3,4,7]=>[5,6,7,8,4,2,-1,3]
[7,8,5,1,2,3,4,6]=>[5,6,7,8,4,-1,2,3]
[7,8,1,6,2,3,5,4]=>[4,6,7,-1,8,5,2,3]
[7,1,8,6,2,4,5,3]=>[3,6,-1,7,8,5,2,4]
[1,7,8,6,3,4,5,2]=>[2,-1,6,7,8,5,3,4]
[1,8,7,6,3,4,5,2]=>[2,-1,6,7,8,5,4,3]
[8,1,7,6,2,4,5,3]=>[3,6,-1,7,8,5,4,2]
[8,7,1,6,2,3,5,4]=>[4,6,7,-1,8,5,3,2]
[8,7,5,1,2,3,4,6]=>[5,6,7,8,4,-1,3,2]
[8,6,5,1,2,3,4,7]=>[5,6,7,8,4,3,-1,2]
[7,6,5,1,2,3,4,8]=>[5,6,7,8,4,3,2,-1]
[4,1,2,3,6,5,8,7]=>[3,4,5,2,7,6,-1,8]
[4,5,2,6,3,1,8,7]=>[7,4,6,2,3,5,-1,8]
[6,5,2,1,4,3,8,7]=>[5,4,7,6,3,2,-1,8]
[6,5,2,7,4,8,3,1]=>[-1,4,8,6,3,2,5,7]
[8,5,2,7,4,1,6,3]=>[7,4,-1,6,3,8,5,2]
[8,3,7,5,2,1,6,4]=>[7,6,3,-1,5,8,4,2]
[6,3,7,5,2,8,4,1]=>[-1,6,3,8,5,2,4,7]
[3,1,6,5,4,2,8,7]=>[3,7,2,6,5,4,-1,8]
[2,1,6,3,4,5,8,7]=>[3,2,5,6,7,4,-1,8]
[5,6,3,2,4,1,8,7]=>[7,5,4,6,2,3,-1,8]
[3,6,2,4,1,5,8,7]=>[6,4,2,5,7,3,-1,8]
[2,6,1,3,5,4,8,7]=>[4,2,5,7,6,3,-1,8]
[6,1,2,3,4,5,8,7]=>[3,4,5,6,7,2,-1,8]
[6,7,2,3,4,8,5,1]=>[-1,4,5,6,8,2,3,7]
[8,7,2,3,4,1,6,5]=>[7,4,5,6,-1,8,3,2]
[5,1,7,3,8,4,6,2]=>[3,-1,5,7,2,8,4,6]
[2,5,7,3,8,6,4,1]=>[-1,2,5,8,3,7,4,6]
[7,6,1,3,5,8,4,2]=>[4,-1,5,8,6,3,2,7]
[3,6,7,4,1,8,5,2]=>[6,-1,2,5,8,3,4,7]
[5,6,3,7,4,8,1,2]=>[8,-1,4,6,2,3,5,7]
[2,1,6,7,4,8,5,3]=>[3,2,-1,6,8,4,5,7]
[2,1,8,7,4,3,6,5]=>[3,2,7,6,-1,8,5,4]
[5,8,3,7,4,2,6,1]=>[-1,7,4,6,2,8,5,3]
[3,8,7,4,1,2,6,5]=>[6,7,2,5,-1,8,4,3]
[7,8,1,3,5,2,6,4]=>[4,7,5,-1,6,8,2,3]
[5,8,7,3,2,6,1,4]=>[8,6,5,-1,2,7,4,3]
[2,8,6,3,1,5,7,4]=>[6,2,5,-1,7,4,8,3]
[8,1,6,3,2,5,4,7]=>[3,6,5,8,7,4,-1,2]
[8,1,4,2,6,3,5,7]=>[3,5,7,4,8,6,-1,2]
[2,8,4,1,6,3,7,5]=>[5,2,7,4,-1,6,8,3]
[4,8,1,2,7,6,3,5]=>[4,5,8,2,-1,7,6,3]
[3,8,4,2,5,7,1,6]=>[8,5,2,4,6,-1,7,3]
[7,8,5,4,2,1,3,6]=>[7,6,8,5,4,-1,2,3]
[6,8,3,5,2,7,4,1]=>[-1,6,4,8,5,2,7,3]
[2,1,5,3,8,7,6,4]=>[3,2,5,-1,4,8,7,6]
[6,5,3,2,8,7,1,4]=>[8,5,4,-1,3,2,7,6]
[7,5,2,4,8,1,6,3]=>[7,4,-1,5,3,8,2,6]
[3,4,2,8,5,7,6,1]=>[-1,4,2,3,6,8,7,5]
[2,4,1,8,7,6,5,3]=>[4,2,-1,3,8,7,6,5]
[8,4,2,1,7,5,3,6]=>[5,4,8,3,7,-1,6,2]
[8,3,4,1,6,7,2,5]=>[5,8,3,4,-1,6,7,2]
[4,3,1,8,6,7,5,2]=>[4,-1,3,2,8,6,7,5]
[3,1,4,8,6,5,7,2]=>[3,-1,2,4,7,6,8,5]
[7,1,6,5,4,8,2,3]=>[3,8,-1,6,5,4,2,7]
[3,7,5,6,8,4,2,1]=>[-1,8,2,7,4,5,3,6]
[5,7,1,6,8,2,4,3]=>[4,7,-1,8,2,5,3,6]
[8,6,2,5,1,7,4,3]=>[6,4,-1,8,5,3,7,2]
[5,6,2,1,8,7,3,4]=>[5,4,8,-1,2,3,7,6]
[4,6,2,5,8,3,7,1]=>[-1,4,7,2,5,3,8,6]
[7,5,2,6,3,8,1,4]=>[8,4,6,-1,3,5,2,7]
[4,1,2,3,6,8,7,5]=>[3,4,5,2,-1,6,8,7]
[2,1,4,3,8,5,6,7]=>[3,2,5,4,7,8,-1,6]
[2,4,3,1,8,5,6,7]=>[5,2,4,3,7,8,-1,6]
[7,5,2,8,3,4,6,1]=>[-1,4,6,7,3,8,2,5]
[5,6,2,8,4,3,1,7]=>[8,4,7,6,2,3,-1,5]
[4,7,2,8,1,5,3,6]=>[6,4,8,2,7,-1,3,5]
[8,7,2,1,4,5,6,3]=>[5,4,-1,6,7,8,3,2]
[3,6,8,7,1,5,4,2]=>[6,-1,2,8,7,3,5,4]
[5,7,8,6,3,4,1,2]=>[8,-1,6,7,2,5,3,4]
[7,1,8,5,4,3,6,2]=>[3,-1,7,6,5,8,2,4]
[2,7,8,4,5,3,6,1]=>[-1,2,7,5,6,8,3,4]
[5,7,3,8,1,4,6,2]=>[6,-1,4,7,2,8,3,5]
[2,1,7,8,5,4,6,3]=>[3,2,-1,7,6,8,4,5]
[2,1,5,8,4,6,3,7]=>[3,2,8,6,4,7,-1,5]
[6,5,3,8,4,1,2,7]=>[7,8,4,6,3,2,-1,5]
[7,5,8,4,3,6,2,1]=>[-1,8,6,5,3,7,2,4]
[2,4,8,3,5,6,1,7]=>[8,2,5,3,6,7,-1,4]
[4,1,8,3,6,5,2,7]=>[3,8,5,2,7,6,-1,4]
[3,4,8,1,7,2,5,6]=>[5,7,2,3,8,-1,6,4]
[8,4,1,3,7,2,6,5]=>[4,7,5,3,-1,8,6,2]
[8,3,1,2,4,7,5,6]=>[4,5,3,6,8,-1,7,2]
[3,1,8,2,4,7,6,5]=>[3,5,2,6,-1,8,7,4]
[2,3,8,1,4,6,7,5]=>[5,2,3,6,-1,7,8,4]
[4,3,8,2,5,1,7,6]=>[7,5,3,2,6,-1,8,4]
[6,3,8,4,2,5,7,1]=>[-1,6,3,5,7,2,8,4]
[7,4,3,8,2,5,1,6]=>[8,6,4,3,7,-1,2,5]
[2,1,4,8,3,5,7,6]=>[3,2,6,4,7,-1,8,5]
[2,1,8,3,4,5,6,7]=>[3,2,5,6,7,8,-1,4]
[7,8,3,2,4,5,6,1]=>[-1,5,4,6,7,8,2,3]
[6,8,2,4,3,5,1,7]=>[8,4,6,5,7,2,-1,3]
[4,8,2,3,5,1,6,7]=>[7,4,5,2,6,8,-1,3]
[3,8,2,1,4,6,5,7]=>[5,4,2,6,8,7,-1,3]
[2,8,1,3,4,5,7,6]=>[4,2,5,6,7,-1,8,3]
[8,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,-1,2]
[8,6,4,3,2,1,5,7]=>[7,6,5,4,8,3,-1,2]
[8,3,5,2,1,6,4,7]=>[6,5,3,8,4,7,-1,2]
[8,6,3,5,2,4,1,7]=>[8,6,4,7,5,3,-1,2]
[3,7,5,2,4,1,8,6]=>[7,5,2,6,4,-1,3,8]
[8,3,7,5,2,4,6,1]=>[-1,6,3,7,5,8,4,2]
[8,2,4,5,7,3,6,1]=>[-1,3,7,4,5,8,6,2]
[2,4,5,7,3,1,8,6]=>[7,2,6,3,4,-1,5,8]
[8,2,4,6,5,3,1,7]=>[8,3,7,4,6,5,-1,2]
[8,2,5,4,6,1,3,7]=>[7,3,8,5,4,6,-1,2]
[8,6,5,4,2,1,3,7]=>[7,6,8,5,4,3,-1,2]
[8,6,3,5,1,4,2,7]=>[6,8,4,7,5,3,-1,2]
[8,6,1,4,5,3,2,7]=>[4,8,7,5,6,3,-1,2]
[8,1,5,6,4,3,2,7]=>[3,8,7,6,4,5,-1,2]
[8,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,-1,2]
[5,7,4,3,2,1,8,6]=>[7,6,5,4,2,-1,3,8]
[8,5,7,4,3,2,6,1]=>[-1,7,6,5,3,8,4,2]
[4,6,8,3,2,7,5,1]=>[-1,6,5,2,8,3,7,4]
[4,7,6,3,2,8,1,5]=>[8,6,5,2,-1,4,3,7]
[1,4,6,7,3,2,8,5]=>[2,7,6,3,-1,4,5,8]
[5,4,7,3,1,8,2,6]=>[6,8,5,3,2,-1,4,7]
[1,7,4,5,3,2,8,6]=>[2,7,6,4,5,-1,3,8]
[3,7,5,1,4,2,8,6]=>[5,7,2,6,4,-1,3,8]
[5,7,4,2,1,3,8,6]=>[6,5,7,4,2,-1,3,8]
[8,5,7,4,2,1,6,3]=>[7,6,-1,5,3,8,4,2]
[8,3,7,5,1,4,6,2]=>[6,-1,3,7,5,8,4,2]
[8,4,1,7,5,3,6,2]=>[4,-1,7,3,6,8,5,2]
[8,5,4,7,3,6,1,2]=>[8,-1,6,4,3,7,5,2]
[4,6,3,8,7,1,5,2]=>[7,-1,4,2,8,3,6,5]
[1,7,4,8,6,3,5,2]=>[2,-1,7,4,8,6,3,5]
[8,4,7,6,3,5,2,1]=>[-1,8,6,3,7,5,4,2]
[3,5,8,7,6,4,2,1]=>[-1,8,2,7,3,6,5,4]
[1,3,5,7,8,6,4,2]=>[2,-1,3,8,4,7,5,6]
[3,6,5,8,7,4,1,2]=>[8,-1,2,7,4,3,6,5]
[3,1,5,8,6,7,4,2]=>[3,-1,2,8,4,6,7,5]
[4,8,1,6,7,3,5,2]=>[4,-1,7,2,8,5,6,3]
[3,6,4,1,8,7,5,2]=>[5,-1,2,4,8,3,7,6]
[8,2,6,1,4,7,5,3]=>[5,3,-1,6,8,4,7,2]
[2,7,6,8,1,4,3,5]=>[6,2,8,7,-1,4,3,5]
[3,7,1,6,4,8,2,5]=>[4,8,2,6,-1,5,3,7]
[4,7,3,6,8,1,2,5]=>[7,8,4,2,-1,5,3,6]
[1,7,3,5,6,8,2,4]=>[2,8,4,-1,5,6,3,7]
[1,3,6,7,5,8,2,4]=>[2,8,3,-1,6,4,5,7]
[3,7,6,5,8,2,1,4]=>[8,7,2,-1,5,4,3,6]
[3,6,8,5,7,2,4,1]=>[-1,7,2,8,5,3,6,4]
[2,3,5,6,8,7,4,1]=>[-1,2,3,8,4,5,7,6]
[2,3,5,7,6,8,1,4]=>[8,2,3,-1,4,6,5,7]
[2,4,6,1,7,3,8,5]=>[5,2,7,3,-1,4,6,8]
[4,2,7,6,8,3,1,5]=>[8,3,7,2,-1,5,4,6]
[4,2,6,8,7,3,5,1]=>[-1,3,7,2,8,4,6,5]
[3,8,2,4,6,7,5,1]=>[-1,4,2,5,8,6,7,3]
[3,7,2,6,4,8,1,5]=>[8,4,2,6,-1,5,3,7]
[3,2,6,1,4,7,8,5]=>[5,3,2,6,-1,4,7,8]
[5,3,7,2,1,8,4,6]=>[6,5,3,8,2,-1,4,7]
[4,7,3,2,1,5,8,6]=>[6,5,4,2,7,-1,3,8]
[8,7,6,4,2,1,3,5]=>[7,6,8,5,-1,4,3,2]
[8,7,6,1,3,4,2,5]=>[5,8,6,7,-1,4,3,2]
[8,7,6,4,3,2,1,5]=>[8,7,6,5,-1,4,3,2]
[8,5,7,3,2,1,6,4]=>[7,6,5,-1,3,8,4,2]
[8,3,6,7,2,1,5,4]=>[7,6,3,-1,8,4,5,2]
[3,7,8,6,2,1,5,4]=>[7,6,2,-1,8,5,3,4]
[8,7,6,3,5,2,4,1]=>[-1,7,5,8,6,4,3,2]
[2,7,4,8,1,6,5,3]=>[6,2,-1,4,8,7,3,5]
[4,6,8,2,1,7,5,3]=>[6,5,-1,2,8,3,7,4]
[8,5,4,7,2,6,1,3]=>[8,6,-1,4,3,7,5,2]
[8,4,1,5,7,2,6,3]=>[4,7,-1,3,5,8,6,2]
[8,5,3,7,1,6,2,4]=>[6,8,4,-1,3,7,5,2]
[8,5,7,2,1,3,6,4]=>[6,5,7,-1,3,8,4,2]
[8,2,6,7,1,3,5,4]=>[6,3,7,-1,8,4,5,2]
[8,3,6,1,7,5,2,4]=>[5,8,3,-1,7,4,6,2]
[4,6,1,8,7,2,5,3]=>[4,7,-1,2,8,3,6,5]
[8,1,2,5,6,7,4,3]=>[3,4,-1,8,5,6,7,2]
[8,2,6,5,7,4,1,3]=>[8,3,-1,7,5,4,6,2]
[2,1,7,8,5,6,4,3]=>[3,2,-1,8,6,7,4,5]
[8,2,5,7,6,4,3,1]=>[-1,3,8,7,4,6,5,2]
[2,6,8,7,5,4,3,1]=>[-1,2,8,7,6,3,5,4]
[2,7,6,8,5,4,1,3]=>[8,2,-1,7,6,4,3,5]
[1,2,6,7,8,5,4,3]=>[2,3,-1,8,7,4,5,6]
[1,7,2,5,8,6,4,3]=>[2,4,-1,8,5,7,3,6]
[1,7,4,8,2,6,5,3]=>[2,6,-1,4,8,7,3,5]
[3,7,8,1,6,5,2,4]=>[5,8,2,-1,7,6,3,4]
[2,7,8,6,1,3,5,4]=>[6,2,7,-1,8,5,3,4]
[8,7,6,5,4,2,1,3]=>[8,7,-1,6,5,4,3,2]
[8,4,7,6,5,1,3,2]=>[7,-1,8,3,6,5,4,2]
[8,7,1,5,6,4,3,2]=>[4,-1,8,7,5,6,3,2]
[8,1,6,7,5,4,3,2]=>[3,-1,8,7,6,4,5,2]
[1,7,8,6,5,4,3,2]=>[2,-1,8,7,6,5,3,4]
[6,5,3,2,1,4,8,7]=>[6,5,4,7,3,2,-1,8]
[4,6,3,5,2,1,8,7]=>[7,6,4,2,5,3,-1,8]
[8,7,3,5,2,4,1,6]=>[8,6,4,7,5,-1,3,2]
[6,8,2,4,5,7,3,1]=>[-1,4,8,5,6,2,7,3]
[8,7,2,4,5,3,1,6]=>[8,4,7,5,6,-1,3,2]
[3,6,1,4,5,2,8,7]=>[4,7,2,5,6,3,-1,8]
[8,3,7,4,5,2,1,6]=>[8,7,3,5,6,-1,4,2]
[6,3,8,4,5,7,2,1]=>[-1,8,3,5,6,2,7,4]
[5,8,7,4,3,6,2,1]=>[-1,8,6,5,2,7,4,3]
[2,8,7,4,3,6,1,5]=>[8,2,6,5,-1,7,4,3]
[8,1,7,4,3,6,2,5]=>[3,8,6,5,-1,7,4,2]
[8,7,1,4,5,3,2,6]=>[4,8,7,5,6,-1,3,2]
[8,7,3,5,1,4,2,6]=>[6,8,4,7,5,-1,3,2]
[2,1,8,7,5,4,3,6]=>[3,2,8,7,6,-1,5,4]
[2,1,6,8,5,7,4,3]=>[3,2,-1,8,6,4,7,5]
[6,8,3,5,1,7,4,2]=>[6,-1,4,8,5,2,7,3]
[5,8,7,4,3,6,1,2]=>[8,-1,6,5,2,7,4,3]
[5,1,8,4,7,6,3,2]=>[3,-1,8,5,2,7,6,4]
[2,5,8,4,7,6,3,1]=>[-1,2,8,5,3,7,6,4]
[4,3,8,1,5,6,7,2]=>[5,-1,3,2,6,7,8,4]
[4,8,1,3,5,6,7,2]=>[4,-1,5,2,6,7,8,3]
[5,8,7,4,1,6,3,2]=>[6,-1,8,5,2,7,4,3]
[5,8,3,6,1,4,7,2]=>[6,-1,4,7,2,5,8,3]
[4,8,3,6,1,2,7,5]=>[6,7,4,2,-1,5,8,3]
[3,8,7,4,1,6,2,5]=>[6,8,2,5,-1,7,4,3]
[3,8,1,2,5,6,7,4]=>[4,5,2,-1,6,7,8,3]
[8,7,1,4,2,6,3,5]=>[4,6,8,5,-1,7,3,2]
[8,6,3,1,2,4,7,5]=>[5,6,4,7,-1,3,8,2]
[8,7,3,5,1,2,4,6]=>[6,7,4,8,5,-1,3,2]
[8,1,7,4,5,2,3,6]=>[3,7,8,5,6,-1,4,2]
[2,8,7,4,5,1,3,6]=>[7,2,8,5,6,-1,4,3]
[8,7,2,4,1,6,3,5]=>[6,4,8,5,-1,7,3,2]
[5,8,3,6,2,4,7,1]=>[-1,6,4,7,2,5,8,3]
[8,6,3,2,1,4,7,5]=>[6,5,4,7,-1,3,8,2]
[8,7,3,5,2,1,4,6]=>[7,6,4,8,5,-1,3,2]
[6,8,3,5,2,7,1,4]=>[8,6,4,-1,5,2,7,3]
[5,8,3,6,2,1,7,4]=>[7,6,4,-1,2,5,8,3]
[5,8,7,4,2,6,1,3]=>[8,6,-1,5,2,7,4,3]
[2,6,8,4,5,7,1,3]=>[8,2,-1,5,6,3,7,4]
[6,1,8,4,5,7,2,3]=>[3,8,-1,5,6,2,7,4]
[6,8,3,5,1,7,2,4]=>[6,8,4,-1,5,2,7,3]
[2,1,5,8,3,6,7,4]=>[3,2,6,-1,4,7,8,5]
[5,8,3,6,1,2,7,4]=>[6,7,4,-1,2,5,8,3]
[5,8,7,4,1,6,2,3]=>[6,8,-1,5,2,7,4,3]
[4,1,8,2,5,6,7,3]=>[3,5,-1,2,6,7,8,4]
[2,4,8,1,5,6,7,3]=>[5,2,-1,3,6,7,8,4]
[4,8,2,1,5,6,7,3]=>[5,4,-1,2,6,7,8,3]
[3,4,8,2,5,6,7,1]=>[-1,5,2,3,6,7,8,4]
[5,8,1,4,7,6,2,3]=>[4,8,-1,5,2,7,6,3]
[5,8,3,1,6,2,7,4]=>[5,7,4,-1,2,6,8,3]
[4,5,3,8,6,1,7,2]=>[7,-1,4,2,3,6,8,5]
[3,5,8,4,7,6,1,2]=>[8,-1,2,5,3,7,6,4]
[3,4,1,8,5,6,7,2]=>[4,-1,2,3,6,7,8,5]
[6,1,7,5,3,2,4,8]=>[3,7,6,8,5,2,4,-1]
[1,2,3,4,5,7,8,6]=>[2,3,4,5,6,-1,7,8]
[1,2,3,6,4,8,5,7]=>[2,3,4,6,8,5,-1,7]
[1,2,3,6,4,7,5,8]=>[2,3,4,6,8,5,7,-1]
[1,5,2,3,4,8,6,7]=>[2,4,5,6,3,8,-1,7]
[1,3,4,5,6,7,8,2]=>[2,-1,3,4,5,6,7,8]
[8,2,1,3,4,5,6,7]=>[4,3,5,6,7,8,-1,2]
[6,5,8,1,3,2,7,4]=>[5,7,6,-1,3,2,8,4]
[5,6,8,2,3,1,7,4]=>[7,5,6,-1,2,3,8,4]
[4,1,3,2,8,5,6,7]=>[3,5,4,2,7,8,-1,6]
[3,2,1,4,8,5,6,7]=>[4,3,2,5,7,8,-1,6]
[1,2,3,4,8,5,6,7]=>[2,3,4,5,7,8,-1,6]
[7,3,6,5,4,2,1,8]=>[8,7,3,6,5,4,2,-1]
[3,2,6,8,5,1,4,7]=>[7,3,2,8,6,4,-1,5]
[6,3,1,5,4,2,8,7]=>[4,7,3,6,5,2,-1,8]
[8,3,1,5,2,7,6,4]=>[4,6,3,-1,5,8,7,2]
[8,5,4,2,1,7,3,6]=>[6,5,8,4,3,-1,7,2]
[8,5,4,2,1,7,6,3]=>[6,5,-1,4,3,8,7,2]
[6,5,4,2,1,3,8,7]=>[6,5,7,4,3,2,-1,8]
[6,5,4,2,3,1,8,7]=>[7,5,6,4,3,2,-1,8]
[6,3,2,5,1,4,8,7]=>[6,4,3,7,5,2,-1,8]
[6,5,4,3,1,2,8,7]=>[6,7,5,4,3,2,-1,8]
[6,5,4,1,3,2,8,7]=>[5,7,6,4,3,2,-1,8]
[8,5,4,1,2,7,6,3]=>[5,6,-1,4,3,8,7,2]
[8,7,4,1,6,3,2,5]=>[5,8,7,4,-1,6,3,2]
[8,7,4,1,6,3,5,2]=>[5,-1,7,4,8,6,3,2]
[8,7,4,1,6,5,3,2]=>[5,-1,8,4,7,6,3,2]
[8,5,4,1,3,7,6,2]=>[5,-1,6,4,3,8,7,2]
[8,5,4,3,1,7,6,2]=>[6,-1,5,4,3,8,7,2]
[8,3,2,5,1,7,6,4]=>[6,4,3,-1,5,8,7,2]
[2,1,8,5,3,7,6,4]=>[3,2,6,-1,5,8,7,4]
[8,3,2,5,1,7,4,6]=>[6,4,3,8,5,-1,7,2]
[8,5,4,3,1,7,2,6]=>[6,8,5,4,3,-1,7,2]
[8,5,4,1,3,7,2,6]=>[5,8,6,4,3,-1,7,2]
[8,7,4,1,6,5,2,3]=>[5,8,-1,4,7,6,3,2]
[8,7,4,1,6,2,5,3]=>[5,7,-1,4,8,6,3,2]
[8,7,6,5,2,1,3,4]=>[7,6,8,-1,5,4,3,2]
[8,7,6,5,2,1,4,3]=>[7,6,-1,8,5,4,3,2]
[8,7,4,3,6,2,1,5]=>[8,7,5,4,-1,6,3,2]
[8,3,2,7,6,4,1,5]=>[8,4,3,7,-1,6,5,2]
[2,1,8,7,6,4,3,5]=>[3,2,8,7,-1,6,5,4]
[2,1,8,7,6,4,5,3]=>[3,2,-1,7,8,6,5,4]
[8,3,2,7,6,4,5,1]=>[-1,4,3,7,8,6,5,2]
[8,7,4,3,6,2,5,1]=>[-1,7,5,4,8,6,3,2]
[8,7,6,5,4,2,3,1]=>[-1,7,8,6,5,4,3,2]
[8,7,6,5,2,4,3,1]=>[-1,6,8,7,5,4,3,2]
[8,7,6,5,2,3,4,1]=>[-1,6,7,8,5,4,3,2]
[8,7,6,5,2,3,1,4]=>[8,6,7,-1,5,4,3,2]
[8,7,6,5,3,2,1,4]=>[8,7,6,-1,5,4,3,2]
[8,7,6,5,3,2,4,1]=>[-1,7,6,8,5,4,3,2]
[8,7,6,5,3,4,2,1]=>[-1,8,6,7,5,4,3,2]
[8,5,4,2,3,7,6,1]=>[-1,5,6,4,3,8,7,2]
[8,7,4,2,6,5,3,1]=>[-1,5,8,4,7,6,3,2]
[8,7,4,2,6,3,5,1]=>[-1,5,7,4,8,6,3,2]
[8,7,4,2,6,3,1,5]=>[8,5,7,4,-1,6,3,2]
[8,3,1,7,6,4,2,5]=>[4,8,3,7,-1,6,5,2]
[8,3,1,7,6,4,5,2]=>[4,-1,3,7,8,6,5,2]
[8,3,1,7,6,5,4,2]=>[4,-1,3,8,7,6,5,2]
[8,3,1,5,4,7,6,2]=>[4,-1,3,6,5,8,7,2]
[8,3,1,5,4,7,2,6]=>[4,8,3,6,5,-1,7,2]
[8,3,1,7,6,5,2,4]=>[4,8,3,-1,7,6,5,2]
[8,3,1,7,6,2,5,4]=>[4,7,3,-1,8,6,5,2]
[8,7,4,2,6,1,3,5]=>[7,5,8,4,-1,6,3,2]
[8,7,4,2,6,1,5,3]=>[7,5,-1,4,8,6,3,2]
[8,7,4,2,6,5,1,3]=>[8,5,-1,4,7,6,3,2]
[8,5,4,2,3,7,1,6]=>[8,5,6,4,3,-1,7,2]
[8,5,4,3,2,7,1,6]=>[8,6,5,4,3,-1,7,2]
[8,3,2,5,4,7,1,6]=>[8,4,3,6,5,-1,7,2]
[2,1,8,5,4,7,3,6]=>[3,2,8,6,5,-1,7,4]
[2,1,8,7,6,5,3,4]=>[3,2,8,-1,7,6,5,4]
[8,3,2,7,6,5,1,4]=>[8,4,3,-1,7,6,5,2]
[8,7,4,3,6,5,1,2]=>[8,-1,5,4,7,6,3,2]
[8,7,6,5,4,3,1,2]=>[8,-1,7,6,5,4,3,2]
[8,7,6,5,3,4,1,2]=>[8,-1,6,7,5,4,3,2]
[8,7,6,5,3,1,4,2]=>[7,-1,6,8,5,4,3,2]
[8,7,6,5,3,1,2,4]=>[7,8,6,-1,5,4,3,2]
[8,7,6,5,1,3,2,4]=>[6,8,7,-1,5,4,3,2]
[8,7,6,5,1,3,4,2]=>[6,-1,7,8,5,4,3,2]
[8,7,6,5,1,4,3,2]=>[6,-1,8,7,5,4,3,2]
[8,7,6,5,4,1,3,2]=>[7,-1,8,6,5,4,3,2]
[8,7,4,3,6,1,5,2]=>[7,-1,5,4,8,6,3,2]
[8,3,2,7,6,1,5,4]=>[7,4,3,-1,8,6,5,2]
[2,1,8,7,6,3,5,4]=>[3,2,7,-1,8,6,5,4]
[8,3,2,7,6,1,4,5]=>[7,4,3,8,-1,6,5,2]
[8,7,4,3,6,1,2,5]=>[7,8,5,4,-1,6,3,2]
[8,7,6,5,4,1,2,3]=>[7,8,-1,6,5,4,3,2]
[8,7,6,5,1,4,2,3]=>[6,8,-1,7,5,4,3,2]
[8,7,6,5,1,2,4,3]=>[6,7,-1,8,5,4,3,2]
[2,8,4,1,6,7,5,3]=>[5,2,-1,4,8,6,7,3]
[4,1,3,2,7,6,8,5]=>[3,5,4,2,-1,7,6,8]
[1,2,3,4,7,6,8,5]=>[2,3,4,5,-1,7,6,8]
[8,5,3,7,1,4,2,6]=>[6,8,4,7,3,-1,5,2]
[3,7,6,1,4,8,2,5]=>[5,8,2,6,-1,4,3,7]
[3,8,6,1,4,7,2,5]=>[5,8,2,6,-1,4,7,3]
[5,1,2,3,6,7,8,4]=>[3,4,5,-1,2,6,7,8]
[8,7,1,2,3,4,5,6]=>[4,5,6,7,8,-1,3,2]
[7,6,1,2,3,4,8,5]=>[4,5,6,7,-1,3,2,8]
[5,8,1,2,3,7,4,6]=>[4,5,6,8,2,-1,7,3]
[8,6,1,2,3,7,4,5]=>[4,5,6,8,-1,3,7,2]
[5,6,1,2,3,7,8,4]=>[4,5,6,-1,2,3,7,8]
[8,4,1,2,7,3,5,6]=>[4,5,7,3,8,-1,6,2]
[7,4,1,2,6,3,8,5]=>[4,5,7,3,-1,6,2,8]
[8,7,1,2,6,3,4,5]=>[4,5,7,8,-1,6,3,2]
[5,7,1,2,6,3,8,4]=>[4,5,7,-1,2,6,3,8]
[5,4,1,2,8,7,3,6]=>[4,5,8,3,2,-1,7,6]
[8,4,1,2,6,7,3,5]=>[4,5,8,3,-1,6,7,2]
[5,8,1,2,6,7,3,4]=>[4,5,8,-1,2,6,7,3]
[5,4,1,2,6,7,8,3]=>[4,5,-1,3,2,6,7,8]
[7,3,1,8,2,4,5,6]=>[4,6,3,7,8,-1,2,5]
[7,3,1,6,2,4,8,5]=>[4,6,3,7,-1,5,2,8]
[8,3,1,6,2,7,4,5]=>[4,6,3,8,-1,5,7,2]
[6,3,1,5,2,7,8,4]=>[4,6,3,-1,5,2,7,8]
[7,4,1,6,2,3,8,5]=>[4,6,7,3,-1,5,2,8]
[8,7,1,5,2,3,4,6]=>[4,6,7,8,5,-1,3,2]
[6,7,1,5,2,3,8,4]=>[4,6,7,-1,5,2,3,8]
[8,4,1,5,2,7,3,6]=>[4,6,8,3,5,-1,7,2]
[8,4,1,6,2,7,3,5]=>[4,6,8,3,-1,5,7,2]
[6,8,1,5,2,7,3,4]=>[4,6,8,-1,5,2,7,3]
[6,4,1,5,2,7,8,3]=>[4,6,-1,3,5,2,7,8]
[4,3,1,8,7,2,5,6]=>[4,7,3,2,8,-1,6,5]
[4,3,1,7,6,2,8,5]=>[4,7,3,2,-1,6,5,8]
[8,3,1,5,7,2,4,6]=>[4,7,3,8,5,-1,6,2]
[7,3,1,5,6,2,8,4]=>[4,7,3,-1,5,6,2,8]
[8,4,1,5,7,2,3,6]=>[4,7,8,3,5,-1,6,2]
[8,4,1,7,6,2,3,5]=>[4,7,8,3,-1,6,5,2]
[7,8,1,5,6,2,3,4]=>[4,7,8,-1,5,6,2,3]
[7,4,1,5,6,2,8,3]=>[4,7,-1,3,5,6,2,8]
[4,3,1,5,8,7,2,6]=>[4,8,3,2,5,-1,7,6]
[4,3,1,8,6,7,2,5]=>[4,8,3,2,-1,6,7,5]
[8,3,1,5,6,7,2,4]=>[4,8,3,-1,5,6,7,2]
[8,4,1,5,6,7,2,3]=>[4,8,-1,3,5,6,7,2]
[4,3,1,5,6,7,8,2]=>[4,-1,3,2,5,6,7,8]
[2,8,7,1,3,4,5,6]=>[5,2,6,7,8,-1,4,3]
[2,8,5,1,3,7,4,6]=>[5,2,6,8,4,-1,7,3]
[2,6,8,1,3,7,4,5]=>[5,2,6,8,-1,3,7,4]
[2,6,5,1,3,7,8,4]=>[5,2,6,-1,4,3,7,8]
[2,8,4,1,7,3,5,6]=>[5,2,7,4,8,-1,6,3]
[2,7,4,1,6,3,8,5]=>[5,2,7,4,-1,6,3,8]
[2,8,5,1,7,3,4,6]=>[5,2,7,8,4,-1,6,3]
[2,7,8,1,6,3,4,5]=>[5,2,7,8,-1,6,3,4]
[2,7,5,1,6,3,8,4]=>[5,2,7,-1,4,6,3,8]
[2,5,4,1,8,7,3,6]=>[5,2,8,4,3,-1,7,6]
[2,8,4,1,6,7,3,5]=>[5,2,8,4,-1,6,7,3]
[2,8,5,1,6,7,3,4]=>[5,2,8,-1,4,6,7,3]
[2,5,4,1,6,7,8,3]=>[5,2,-1,4,3,6,7,8]
[8,3,7,1,2,4,5,6]=>[5,6,3,7,8,-1,4,2]
[6,3,7,1,2,4,8,5]=>[5,6,3,7,-1,2,4,8]
[8,3,5,1,2,7,4,6]=>[5,6,3,8,4,-1,7,2]
[6,3,5,1,2,7,8,4]=>[5,6,3,-1,4,2,7,8]
[8,7,4,1,2,3,5,6]=>[5,6,7,4,8,-1,3,2]
[6,7,4,1,2,3,8,5]=>[5,6,7,4,-1,2,3,8]
[6,7,5,1,2,3,8,4]=>[5,6,7,-1,4,2,3,8]
[6,8,4,1,2,7,3,5]=>[5,6,8,4,-1,2,7,3]
[6,8,5,1,2,7,3,4]=>[5,6,8,-1,4,2,7,3]
[6,5,4,1,2,7,8,3]=>[5,6,-1,4,3,2,7,8]
[8,3,4,1,7,2,5,6]=>[5,7,3,4,8,-1,6,2]
[7,3,4,1,6,2,8,5]=>[5,7,3,4,-1,6,2,8]
[8,3,5,1,7,2,4,6]=>[5,7,3,8,4,-1,6,2]
[7,3,8,1,6,2,4,5]=>[5,7,3,8,-1,6,2,4]
[7,3,5,1,6,2,8,4]=>[5,7,3,-1,4,6,2,8]
[8,5,4,1,7,2,3,6]=>[5,7,8,4,3,-1,6,2]
[7,8,5,1,6,2,3,4]=>[5,7,8,-1,4,6,2,3]
[7,5,4,1,6,2,8,3]=>[5,7,-1,4,3,6,2,8]
[5,3,4,1,8,7,2,6]=>[5,8,3,4,2,-1,7,6]
[8,3,5,1,6,7,2,4]=>[5,8,3,-1,4,6,7,2]
[8,5,4,1,6,7,2,3]=>[5,8,-1,4,3,6,7,2]
[5,3,4,1,6,7,8,2]=>[5,-1,3,4,2,6,7,8]
[2,3,7,8,1,4,5,6]=>[6,2,3,7,8,-1,4,5]
[2,3,7,6,1,4,8,5]=>[6,2,3,7,-1,5,4,8]
[2,3,8,5,1,7,4,6]=>[6,2,3,8,5,-1,7,4]
[2,3,8,6,1,7,4,5]=>[6,2,3,8,-1,5,7,4]
[2,3,6,5,1,7,8,4]=>[6,2,3,-1,5,4,7,8]
[2,7,4,8,1,3,5,6]=>[6,2,7,4,8,-1,3,5]
[2,7,4,6,1,3,8,5]=>[6,2,7,4,-1,5,3,8]
[2,7,8,5,1,3,4,6]=>[6,2,7,8,5,-1,3,4]
[2,7,8,6,1,3,4,5]=>[6,2,7,8,-1,5,3,4]
[2,7,6,5,1,3,8,4]=>[6,2,7,-1,5,4,3,8]
[2,8,4,5,1,7,3,6]=>[6,2,8,4,5,-1,7,3]
[2,8,6,5,1,7,3,4]=>[6,2,8,-1,5,4,7,3]
[2,6,4,5,1,7,8,3]=>[6,2,-1,4,5,3,7,8]
[7,3,4,8,1,2,5,6]=>[6,7,3,4,8,-1,2,5]
[7,3,4,6,1,2,8,5]=>[6,7,3,4,-1,5,2,8]
[7,3,8,5,1,2,4,6]=>[6,7,3,8,5,-1,2,4]
[7,3,8,6,1,2,4,5]=>[6,7,3,8,-1,5,2,4]
[7,8,4,5,1,2,3,6]=>[6,7,8,4,5,-1,2,3]
[7,8,4,6,1,2,3,5]=>[6,7,8,4,-1,5,2,3]
[7,6,4,5,1,2,8,3]=>[6,7,-1,4,5,3,2,8]
[8,3,4,5,1,7,2,6]=>[6,8,3,4,5,-1,7,2]
[8,3,4,6,1,7,2,5]=>[6,8,3,4,-1,5,7,2]
[8,3,6,5,1,7,2,4]=>[6,8,3,-1,5,4,7,2]
[8,6,4,5,1,7,2,3]=>[6,8,-1,4,5,3,7,2]
[6,3,4,5,1,7,8,2]=>[6,-1,3,4,5,2,7,8]
[2,3,4,8,7,1,5,6]=>[7,2,3,4,8,-1,6,5]
[2,3,4,7,6,1,8,5]=>[7,2,3,4,-1,6,5,8]
[2,3,8,5,7,1,4,6]=>[7,2,3,8,5,-1,6,4]
[2,3,8,7,6,1,4,5]=>[7,2,3,8,-1,6,5,4]
[2,3,7,5,6,1,8,4]=>[7,2,3,-1,5,6,4,8]
[2,8,4,5,7,1,3,6]=>[7,2,8,4,5,-1,6,3]
[2,8,4,7,6,1,3,5]=>[7,2,8,4,-1,6,5,3]
[2,8,7,5,6,1,3,4]=>[7,2,8,-1,5,6,4,3]
[2,7,4,5,6,1,8,3]=>[7,2,-1,4,5,6,3,8]
[8,3,4,7,6,1,2,5]=>[7,8,3,4,-1,6,5,2]
[8,3,7,5,6,1,2,4]=>[7,8,3,-1,5,6,4,2]
[8,7,4,5,6,1,2,3]=>[7,8,-1,4,5,6,3,2]
[7,3,4,5,6,1,8,2]=>[7,-1,3,4,5,6,2,8]
[2,3,4,5,8,7,1,6]=>[8,2,3,4,5,-1,7,6]
[2,3,4,8,6,7,1,5]=>[8,2,3,4,-1,6,7,5]
[2,3,8,5,6,7,1,4]=>[8,2,3,-1,5,6,7,4]
[2,8,4,5,6,7,1,3]=>[8,2,-1,4,5,6,7,3]
[8,3,4,5,6,7,1,2]=>[8,-1,3,4,5,6,7,2]
[5,6,3,7,1,2,4,8]=>[6,7,4,8,2,3,5,-1]
[2,3,4,6,7,8,1,5]=>[8,2,3,4,-1,5,6,7]
[3,2,7,8,1,6,5,4]=>[6,3,2,-1,8,7,4,5]
[1,2,7,5,3,8,6,4]=>[2,3,6,-1,5,8,4,7]
[1,6,2,8,5,3,7,4]=>[2,4,7,-1,6,3,8,5]
[4,1,2,7,3,8,6,5]=>[3,4,6,2,-1,8,5,7]
[1,2,3,4,7,5,8,6]=>[2,3,4,5,7,-1,6,8]
[1,4,2,8,3,5,6,7]=>[2,4,6,3,7,8,-1,5]
[2,8,1,3,4,5,6,7]=>[4,2,5,6,7,8,-1,3]
[7,3,5,1,8,4,6,2]=>[5,-1,3,7,4,8,2,6]
[7,5,1,3,8,4,2,6]=>[4,8,5,7,3,-1,2,6]
[7,6,1,4,8,3,2,5]=>[4,8,7,5,-1,3,2,6]
[7,1,3,5,8,2,4,6]=>[3,7,4,8,5,-1,2,6]
[2,7,8,4,1,6,5,3]=>[6,2,-1,5,8,7,3,4]
[8,6,3,1,2,5,7,4]=>[5,6,4,-1,7,3,8,2]
[8,7,1,4,2,6,5,3]=>[4,6,-1,5,8,7,3,2]
[-8,-6,-4,-2,1,3,5,7]=>[6,-5,7,-4,8,-3,-1,-2]
[6,8,-4,-3,1,2,5,7]=>[6,7,-5,-4,8,2,-1,3]
[-3,2,-8,-6,-4,1,5,7]=>[7,3,-2,-6,8,-5,-1,-4]
[3,2,8,-6,-5,1,4,7]=>[7,3,2,8,-6,-5,-1,4]
[-5,-3,2,4,-8,-6,1,7]=>[8,4,-3,5,-2,-7,-1,-6]
[5,-3,2,4,8,-7,1,6]=>[8,4,-3,5,2,-1,-7,6]
[-7,-5,-3,2,4,6,-8,1]=>[-1,5,-4,6,-3,7,-2,-8]
[5,7,-4,2,3,6,-8,1]=>[-1,5,6,-4,2,7,3,-8]
[-4,5,2,3,8,-7,1,6]=>[8,4,5,-2,3,-1,-7,6]
[4,5,2,3,-8,-6,1,7]=>[8,4,5,2,3,-7,-1,-6]
[2,-8,-4,-6,-5,1,3,7]=>[7,2,8,-4,-6,-5,-1,-3]
[-8,-6,1,-5,-4,2,3,7]=>[4,7,8,-6,-5,-3,-1,-2]
[-3,6,8,-5,1,2,4,7]=>[6,7,-2,8,-5,3,-1,4]
[2,8,-6,-5,1,3,4,7]=>[6,2,7,8,-5,-4,-1,3]
[-5,4,-8,-6,-2,1,3,7]=>[7,-6,8,3,-2,-5,-1,-4]
[4,-5,-8,-6,-3,1,2,7]=>[7,8,-6,2,-3,-5,-1,-4]
[3,-8,-5,-6,-4,1,2,7]=>[7,8,2,-6,-4,-5,-1,-3]
[-6,4,3,8,-5,1,2,7]=>[7,8,4,3,-6,-2,-1,5]
[-4,3,-5,2,-8,-6,1,7]=>[8,5,3,-2,-4,-7,-1,-6]
[4,3,-5,2,8,-7,1,6]=>[8,5,3,2,-4,-1,-7,6]
[-4,3,-7,-5,2,6,-8,1]=>[-1,6,3,-2,-5,7,-4,-8]
[4,3,7,-6,2,5,-8,1]=>[-1,6,3,2,7,-5,4,-8]
[3,-4,-8,-6,2,-7,1,5]=>[8,6,2,-3,-1,-5,-7,-4]
[8,4,-7,-6,3,1,2,5]=>[7,8,6,3,-1,-5,-4,2]
[-5,4,-7,3,8,1,2,6]=>[7,8,5,3,-2,-1,-4,6]
[5,8,-4,3,-7,1,2,6]=>[7,8,5,-4,2,-1,-6,3]
[5,-3,4,8,-7,1,2,6]=>[7,8,-3,4,2,-1,-6,5]
[-5,2,4,8,-7,1,3,6]=>[7,3,8,4,-2,-1,-6,5]
[-7,-5,4,6,-8,-2,1,3]=>[8,-7,-1,4,-3,5,-2,-6]
[4,-7,-5,6,-8,-3,1,2]=>[8,-1,-7,2,-4,5,-3,-6]
[-7,3,-5,6,-8,-4,1,2]=>[8,-1,3,-7,-4,5,-2,-6]
[-4,3,6,-7,-8,-5,1,2]=>[8,-1,3,-2,-7,4,-5,-6]
[-4,3,5,8,7,-6,1,2]=>[8,-1,3,-2,4,-7,6,5]
[4,-8,6,-7,3,5,1,2]=>[8,-1,6,2,7,4,-5,-3]
[-6,-4,3,5,-7,2,-8,1]=>[-1,7,4,-3,5,-2,-6,-8]
[5,6,3,4,-7,2,-8,1]=>[-1,7,4,5,2,3,-6,-8]
[3,-8,5,7,4,-6,1,2]=>[8,-1,2,6,4,-7,5,-3]
[-7,-6,3,-8,4,-5,1,2]=>[8,-1,4,6,-7,-3,-2,-5]
[-7,-6,5,3,-8,-4,1,2]=>[8,-1,5,-7,4,-3,-2,-6]
[-7,4,-6,5,-8,-3,1,2]=>[8,-1,-7,3,5,-4,-2,-6]
[6,7,4,5,-8,-2,1,3]=>[8,-7,-1,4,5,2,3,-6]
[8,-6,2,4,-7,1,3,5]=>[7,4,8,5,-1,-3,-6,2]
[4,-8,-6,-3,-7,1,2,5]=>[7,8,-5,2,-1,-4,-6,-3]
[-4,3,-8,-6,-7,1,2,5]=>[7,8,3,-2,-1,-5,-6,-4]
[-7,6,8,1,3,-5,2,4]=>[5,8,6,-1,-7,3,-2,4]
[-7,-6,5,8,3,1,2,4]=>[7,8,6,-1,4,-3,-2,5]
[5,-6,3,8,2,-7,1,4]=>[8,6,4,-1,2,-3,-7,5]
[3,-7,-5,-6,2,4,-8,1]=>[-1,6,2,7,-4,-5,-3,-8]
[-7,-6,2,-5,3,4,-8,1]=>[-1,4,6,7,-5,-3,-2,-8]
[-5,2,6,8,3,-7,1,4]=>[8,3,6,-1,-2,4,-7,5]
[-5,7,8,-6,2,1,3,4]=>[7,6,8,-1,-2,-5,3,4]
[5,6,7,1,8,2,3,4]=>[5,7,8,-1,2,3,4,6]
[-4,-8,-7,1,-6,2,3,5]=>[5,7,8,-2,-1,-6,-4,-3]
[8,-7,-6,3,1,2,4,5]=>[6,7,5,8,-1,-4,-3,2]
[2,-7,8,-6,1,3,4,5]=>[6,2,7,8,-1,-5,-3,4]
[-5,2,8,-7,1,3,4,6]=>[6,3,7,8,-2,-1,-5,4]
[-7,-5,3,8,1,2,4,6]=>[6,7,4,8,-3,-1,-2,5]
[5,-7,-4,8,1,2,3,6]=>[6,7,8,-4,2,-1,-3,5]
[-4,-8,-7,2,-5,1,3,6]=>[7,5,8,-2,-6,-1,-4,-3]
[4,2,-7,8,-6,1,3,5]=>[7,3,8,2,-1,-6,-4,5]
[-8,-4,-6,2,3,-7,1,5]=>[8,5,6,-3,-1,-4,-7,-2]
[-6,4,7,2,3,5,-8,1]=>[-1,5,6,3,7,-2,4,-8]
[3,7,-6,2,4,5,-8,1]=>[-1,5,2,6,7,-4,3,-8]
[6,8,-3,2,4,-7,1,5]=>[8,5,-4,6,-1,2,-7,3]
[2,-8,-7,-3,-6,1,4,5]=>[7,2,-5,8,-1,-6,-4,-3]
[3,-7,2,8,-5,1,4,6]=>[7,4,2,8,-6,-1,-3,5]
[-3,2,7,8,-4,1,5,6]=>[7,3,-2,-6,8,-1,4,5]
[3,4,7,8,1,2,5,6]=>[6,7,2,3,8,-1,4,5]
[4,8,-7,-2,1,3,5,6]=>[6,-5,7,2,8,-1,-4,3]
[-7,6,-8,-4,-2,1,3,5]=>[7,-6,8,-5,-1,3,-2,-4]
[6,-7,-8,-4,-3,1,2,5]=>[7,8,-6,-5,-1,2,-3,-4]
[-7,-3,2,6,-8,-4,1,5]=>[8,4,-3,-7,-1,5,-2,-6]
[3,7,2,6,-8,-5,1,4]=>[8,4,2,-1,-7,5,3,-6]
[-7,-8,-3,2,5,-6,1,4]=>[8,5,-4,-1,6,-7,-2,-3]
[-8,5,-6,-3,2,-7,1,4]=>[8,6,-5,-1,3,-4,-7,-2]
[-6,5,-7,-3,2,4,-8,1]=>[-1,6,-5,7,3,-2,-4,-8]
[5,-6,-7,-4,2,3,-8,1]=>[-1,6,7,-5,2,-3,-4,-8]
[-8,-6,5,-4,2,-7,1,3]=>[8,6,-1,-5,4,-3,-7,-2]
[-8,4,7,2,5,-6,1,3]=>[8,5,-1,3,6,-7,4,-2]
[-7,2,-4,6,-8,-5,1,3]=>[8,3,-1,-4,-7,5,-2,-6]
[-7,6,1,-8,-5,-4,2,3]=>[4,8,-1,-7,-6,3,-2,-5]
[6,-7,-3,-8,-5,1,2,4]=>[7,8,-4,-1,-6,2,-3,-5]
[7,2,6,-8,-5,1,3,4]=>[7,3,8,-1,-6,4,2,-5]
[7,-8,2,5,-6,1,3,4]=>[7,4,8,-1,5,-6,2,-3]
[7,-8,-5,-3,-6,1,2,4]=>[7,8,-5,-1,-4,-6,2,-3]
[-8,6,7,5,-4,1,2,3]=>[7,8,-1,-6,5,3,4,-2]
[-8,6,7,1,4,-5,2,3]=>[5,8,-1,6,-7,3,4,-2]
[-8,2,5,7,4,-6,1,3]=>[8,3,-1,6,4,-7,5,-2]
[-8,-6,-5,4,2,-7,1,3]=>[8,6,-1,5,-4,-3,-7,-2]
[4,7,6,-5,2,3,-8,1]=>[-1,6,7,2,-5,4,3,-8]
[5,7,-6,4,2,3,-8,1]=>[-1,6,7,5,2,-4,3,-8]
[4,-8,-5,2,-6,-7,1,3]=>[8,5,-1,2,-4,-6,-7,-3]
[4,-8,-5,-7,1,-6,2,3]=>[6,8,-1,2,-4,-7,-5,-3]
[-8,-7,5,6,4,1,2,3]=>[7,8,-1,6,4,5,-3,-2]
[8,6,-7,-4,5,1,2,3]=>[7,8,-1,-5,6,3,-4,2]
[-8,6,-7,3,5,1,2,4]=>[7,8,5,-1,6,3,-4,-2]
[5,8,-6,2,-7,1,3,4]=>[7,5,8,-1,2,-4,-6,3]
[-6,5,-7,4,-8,-2,1,3]=>[8,-7,-1,5,3,-2,-4,-6]
[5,-6,-7,4,-8,-3,1,2]=>[8,-1,-7,5,2,-3,-4,-6]
[7,-8,6,3,5,-4,1,2]=>[8,-1,5,-7,6,4,2,-3]
[6,-7,-4,-8,3,-5,1,2]=>[8,-1,6,-4,-7,2,-3,-5]
[5,7,-8,4,3,-6,1,2]=>[8,-1,6,5,2,-7,3,-4]
[5,8,-6,4,-7,3,1,2]=>[8,-1,7,5,2,-4,-6,3]
[-5,4,-6,3,-7,2,-8,1]=>[-1,7,5,3,-2,-4,-6,-8]
[1,3,2,4,5,6,7,8]=>[2,4,3,5,6,7,8,-1]
[1,3,2,5,4,6,7,8]=>[2,4,3,6,5,7,8,-1]
[1,3,2,5,4,7,6,8]=>[2,4,3,6,5,8,7,-1]
[1,4,2,5,3,7,6,8]=>[2,4,6,3,5,8,7,-1]
[1,4,2,5,3,6,7,8]=>[2,4,6,3,5,7,8,-1]
[1,2,3,5,4,6,7,8]=>[2,3,4,6,5,7,8,-1]
[1,4,3,6,2,5,7,8]=>[2,6,4,3,7,5,8,-1]
[1,4,3,7,2,5,6,8]=>[2,6,4,3,7,8,5,-1]
[1,4,3,7,6,8,2,5]=>[2,8,4,3,-1,6,5,7]
[1,4,3,7,5,8,2,6]=>[2,8,4,3,6,-1,5,7]
[1,4,3,7,2,6,5,8]=>[2,6,4,3,8,7,5,-1]
[1,2,3,5,4,7,6,8]=>[2,3,4,6,5,8,7,-1]
[1,5,3,7,4,8,2,6]=>[2,8,4,6,3,-1,5,7]
[1,5,2,6,3,7,4,8]=>[2,4,6,8,3,5,7,-1]
[1,4,2,6,3,7,5,8]=>[2,4,6,3,8,5,7,-1]
[1,3,2,6,4,7,5,8]=>[2,4,3,6,8,5,7,-1]
[1,2,3,4,5,7,6,8]=>[2,3,4,5,6,8,7,-1]
[1,3,2,6,5,8,4,7]=>[2,4,3,8,6,5,-1,7]
[1,4,2,6,5,8,3,7]=>[2,4,8,3,6,5,-1,7]
[1,5,2,6,4,8,3,7]=>[2,4,8,6,3,5,-1,7]
[1,5,4,8,2,6,3,7]=>[2,6,8,4,3,7,-1,5]
[1,5,4,8,3,7,2,6]=>[2,8,6,4,3,-1,7,5]
[1,2,3,6,5,8,4,7]=>[2,3,4,8,6,5,-1,7]
[1,6,2,8,3,5,4,7]=>[2,4,6,8,7,3,-1,5]
[4,8,3,7,1,2,6,5]=>[6,7,4,2,-1,8,5,3]
[6,4,1,2,8,3,7,5]=>[4,5,7,3,-1,2,8,6]
[7,8,6,5,4,3,2,1]=>[-1,8,7,6,5,4,2,3]
[7,6,8,5,4,3,2,1]=>[-1,8,7,6,5,3,2,4]
[7,6,5,8,4,3,2,1]=>[-1,8,7,6,4,3,2,5]
[7,6,5,4,8,3,2,1]=>[-1,8,7,5,4,3,2,6]
[7,6,5,4,3,8,2,1]=>[-1,8,6,5,4,3,2,7]
[7,6,5,4,3,2,8,1]=>[-1,7,6,5,4,3,2,8]
[6,7,8,5,4,3,2,1]=>[-1,8,7,6,5,2,3,4]
[7,5,6,8,4,3,2,1]=>[-1,8,7,6,3,4,2,5]
[7,6,4,5,8,3,2,1]=>[-1,8,7,4,5,3,2,6]
[7,6,5,3,4,8,2,1]=>[-1,8,5,6,4,3,2,7]
[7,6,5,4,2,3,8,1]=>[-1,6,7,5,4,3,2,8]
[7,6,5,4,3,1,2,8]=>[7,8,6,5,4,3,2,-1]
[6,5,7,8,4,3,2,1]=>[-1,8,7,6,3,2,4,5]
[7,5,4,6,8,3,2,1]=>[-1,8,7,4,3,5,2,6]
[7,6,4,3,5,8,2,1]=>[-1,8,5,4,6,3,2,7]
[7,4,5,6,8,3,2,1]=>[-1,8,7,3,4,5,2,6]
[7,6,5,3,2,4,8,1]=>[-1,6,5,7,4,3,2,8]
[7,6,3,4,5,8,2,1]=>[-1,8,4,5,6,3,2,7]
[7,6,5,4,2,1,3,8]=>[7,6,8,5,4,3,2,-1]
[7,6,5,2,3,4,8,1]=>[-1,5,6,7,4,3,2,8]
[7,6,5,4,1,2,3,8]=>[6,7,8,5,4,3,2,-1]
[4,3,1,5,7,2,6,8]=>[4,7,3,2,5,8,6,-1]
[2,4,1,5,3,6,7,8]=>[4,2,6,3,5,7,8,-1]
[2,3,4,5,7,1,8,6]=>[7,2,3,4,5,-1,6,8]
[2,3,4,5,6,8,1,7]=>[8,2,3,4,5,6,-1,7]
[3,1,4,5,6,7,8,2]=>[3,-1,2,4,5,6,7,8]
[8,3,4,5,6,1,2,7]=>[7,8,3,4,5,6,-1,2]
[8,1,4,5,6,7,2,3]=>[3,8,-1,4,5,6,7,2]
[2,8,4,5,6,1,3,7]=>[7,2,8,4,5,6,-1,3]
[6,3,4,5,1,8,2,7]=>[6,8,3,4,5,2,-1,7]
[3,1,8,5,6,7,2,4]=>[3,8,2,-1,5,6,7,4]
[7,1,4,5,6,2,8,3]=>[3,7,-1,4,5,6,2,8]
[2,3,8,5,6,1,4,7]=>[7,2,3,8,5,6,-1,4]
[8,6,4,5,1,2,3,7]=>[6,7,8,4,5,3,-1,2]
[5,3,4,1,6,8,2,7]=>[5,8,3,4,2,6,-1,7]
[3,1,4,8,6,7,2,5]=>[3,8,2,4,-1,6,7,5]
[8,1,7,5,6,2,3,4]=>[3,7,8,-1,5,6,4,2]
[6,1,4,5,2,7,8,3]=>[3,6,-1,4,5,2,7,8]
[2,3,4,8,6,1,5,7]=>[7,2,3,4,8,6,-1,5]
[8,3,6,5,1,2,4,7]=>[6,7,3,8,5,4,-1,2]
[2,6,4,5,1,8,3,7]=>[6,2,8,4,5,3,-1,7]
[8,5,4,1,6,2,3,7]=>[5,7,8,4,3,6,-1,2]
[4,3,1,5,6,8,2,7]=>[4,8,3,2,5,6,-1,7]
[3,1,4,5,8,7,2,6]=>[3,8,2,4,5,-1,7,6]
[8,1,4,7,6,2,3,5]=>[3,7,8,4,-1,6,5,2]
[3,1,7,5,6,2,8,4]=>[3,7,2,-1,5,6,4,8]
[8,1,6,5,2,7,3,4]=>[3,6,8,-1,5,4,7,2]
[2,4,1,5,6,7,8,3]=>[4,2,-1,3,5,6,7,8]
[5,1,4,2,6,7,8,3]=>[3,5,-1,4,2,6,7,8]
[8,5,7,2,3,1,6,4]=>[7,5,6,-1,3,8,4,2]
[8,5,7,1,3,2,6,4]=>[5,7,6,-1,3,8,4,2]
[4,8,5,7,1,6,2,3]=>[6,8,-1,2,4,7,5,3]
[2,4,1,3,6,5,8,7]=>[4,2,5,3,7,6,-1,8]
[3,6,4,5,7,2,8,1]=>[-1,7,2,4,5,3,6,8]
[6,5,4,3,7,2,8,1]=>[-1,7,5,4,3,2,6,8]
[2,6,5,7,3,4,8,1]=>[-1,2,6,7,4,3,5,8]
[7,5,3,6,4,2,8,1]=>[-1,7,4,6,3,5,2,8]
[1,6,4,7,5,8,2,3]=>[2,8,-1,4,6,3,5,7]
[8,5,3,6,2,7,4,1]=>[-1,6,4,8,3,5,7,2]
[8,2,6,3,4,7,5,1]=>[-1,3,5,6,8,4,7,2]
[1,3,7,4,6,8,2,5]=>[2,8,3,5,-1,6,4,7]
[7,2,6,3,5,4,8,1]=>[-1,3,5,7,6,4,2,8]
[6,2,7,4,3,5,8,1]=>[-1,3,6,5,7,2,4,8]
[2,3,7,4,5,6,8,1]=>[-1,2,3,5,6,7,4,8]
[5,2,4,7,3,6,8,1]=>[-1,3,6,4,2,7,5,8]
[4,3,2,7,5,6,8,1]=>[-1,4,3,2,6,7,5,8]
[6,5,7,4,3,2,8,1]=>[-1,7,6,5,3,2,4,8]
[4,7,5,6,3,2,8,1]=>[-1,7,6,2,4,5,3,8]
[3,7,6,4,5,2,8,1]=>[-1,7,2,5,6,4,3,8]
[2,7,6,5,3,4,8,1]=>[-1,2,6,7,5,4,3,8]
[1,7,6,5,4,8,2,3]=>[2,8,-1,6,5,4,3,7]
[8,6,5,4,2,7,3,1]=>[-1,6,8,5,4,3,7,2]
[8,1,6,5,7,2,4,3]=>[3,7,-1,8,5,4,6,2]
[7,1,6,5,8,3,2,4]=>[3,8,7,-1,5,4,2,6]
[1,2,7,6,8,3,4,5]=>[2,3,7,8,-1,5,4,6]
[6,1,7,5,3,8,2,4]=>[3,8,6,-1,5,2,4,7]
[2,1,7,5,6,8,3,4]=>[3,2,8,-1,5,6,4,7]
[3,1,6,7,5,8,2,4]=>[3,8,2,-1,6,4,5,7]
[5,4,1,7,6,8,2,3]=>[4,8,-1,3,2,6,5,7]
[6,5,8,4,2,7,3,1]=>[-1,6,8,5,3,2,7,4]
[4,8,5,6,2,7,3,1]=>[-1,6,8,2,4,5,7,3]
[3,8,6,4,2,7,5,1]=>[-1,6,2,5,8,4,7,3]
[7,8,5,2,4,6,3,1]=>[-1,5,8,6,4,7,2,3]
[2,8,6,3,7,4,5,1]=>[-1,2,5,7,8,4,6,3]
[1,8,6,3,7,5,2,4]=>[2,8,5,-1,7,4,6,3]
[8,7,5,2,6,4,3,1]=>[-1,5,8,7,4,6,3,2]
[8,7,1,6,2,5,4,3]=>[4,6,-1,8,7,5,3,2]
[1,8,2,7,3,6,4,5]=>[2,4,6,8,-1,7,5,3]
[7,8,1,6,2,4,5,3]=>[4,6,-1,7,8,5,2,3]
[2,8,1,7,4,3,6,5]=>[4,2,7,6,-1,8,5,3]
[6,8,1,4,7,2,5,3]=>[4,7,-1,5,8,2,6,3]
[3,8,4,1,7,2,6,5]=>[5,7,2,4,-1,8,6,3]
[5,4,8,1,7,2,6,3]=>[5,7,-1,3,2,8,6,4]
[5,4,7,1,8,3,2,6]=>[5,8,7,3,2,-1,4,6]
[3,7,4,1,8,5,2,6]=>[5,8,2,4,7,-1,3,6]
[6,7,1,4,8,3,2,5]=>[4,8,7,5,-1,2,3,6]
[2,7,1,8,4,5,3,6]=>[4,2,8,6,7,-1,3,5]
[1,7,2,8,5,3,4,6]=>[2,4,7,8,6,-1,3,5]
[7,6,1,8,4,3,2,5]=>[4,8,7,6,-1,3,2,5]
[8,6,1,7,4,2,5,3]=>[4,7,-1,6,8,3,5,2]
[8,1,2,7,3,4,6,5]=>[3,4,6,7,-1,8,5,2]
[7,1,2,8,3,5,4,6]=>[3,4,6,8,7,-1,2,5]
[6,1,2,8,4,3,5,7]=>[3,4,7,6,8,2,-1,5]
[1,2,3,8,4,5,6,7]=>[2,3,4,6,7,8,-1,5]
[5,1,2,4,8,3,6,7]=>[3,4,7,5,2,8,-1,6]
[4,3,6,1,5,8,2,7]=>[5,8,3,2,6,4,-1,7]
[5,6,2,1,4,8,3,7]=>[5,4,8,6,2,3,-1,7]
[2,6,1,4,5,8,3,7]=>[4,2,8,5,6,3,-1,7]
[6,5,1,4,3,8,2,7]=>[4,8,6,5,3,2,-1,7]
[1,6,2,5,8,3,4,7]=>[2,4,7,8,5,3,-1,6]
[8,5,1,3,7,2,6,4]=>[4,7,5,-1,3,8,6,2]
[8,4,2,1,7,3,6,5]=>[5,4,7,3,-1,8,6,2]
[7,4,2,1,8,5,3,6]=>[5,4,8,3,7,-1,2,6]
[1,5,4,2,8,3,6,7]=>[2,5,7,4,3,8,-1,6]
[6,4,3,1,5,8,2,7]=>[5,8,4,3,6,2,-1,7]
[5,4,3,2,1,8,6,7]=>[6,5,4,3,2,8,-1,7]
[2,5,3,4,1,8,6,7]=>[6,2,4,5,3,8,-1,7]
[4,3,5,2,1,8,6,7]=>[6,5,3,2,4,8,-1,7]
[6,5,7,4,8,3,2,1]=>[-1,8,7,5,3,2,4,6]
[4,7,5,6,8,3,2,1]=>[-1,8,7,2,4,5,3,6]
[3,7,6,8,4,5,2,1]=>[-1,8,2,6,7,4,3,5]
[2,7,6,8,5,3,4,1]=>[-1,2,7,8,6,4,3,5]
[1,7,6,8,5,4,2,3]=>[2,8,-1,7,6,4,3,5]
[8,6,4,7,5,3,2,1]=>[-1,8,7,4,6,3,5,2]
[8,3,7,4,6,5,2,1]=>[-1,8,3,5,7,6,4,2]
[1,4,8,6,7,5,2,3]=>[2,8,-1,3,7,5,6,4]
[2,4,8,6,7,3,5,1]=>[-1,2,7,3,8,5,6,4]
[7,3,8,5,4,6,2,1]=>[-1,8,3,6,5,7,2,4]
[3,4,8,5,6,7,2,1]=>[-1,8,2,3,5,6,7,4]
[6,3,5,8,4,7,2,1]=>[-1,8,3,6,4,2,7,5]
[5,4,3,8,6,7,2,1]=>[-1,8,4,3,2,6,7,5]
[5,4,2,8,7,3,6,1]=>[-1,4,7,3,2,8,6,5]
[6,2,5,8,7,3,4,1]=>[-1,3,7,8,4,2,6,5]
[3,2,8,5,7,4,6,1]=>[-1,3,2,7,5,8,6,4]
[2,3,8,7,4,5,6,1]=>[-1,2,3,6,7,8,5,4]
[7,2,8,6,4,3,5,1]=>[-1,3,7,6,8,5,2,4]
[1,3,8,7,5,6,2,4]=>[2,8,3,-1,6,7,5,4]
[8,2,7,6,3,5,4,1]=>[-1,3,6,8,7,5,4,2]
[8,1,7,6,5,2,4,3]=>[3,7,-1,8,6,5,4,2]
[7,1,8,6,5,3,2,4]=>[3,8,7,-1,6,5,2,4]
[1,2,8,7,6,3,4,5]=>[2,3,7,8,-1,6,5,4]
[2,1,8,7,4,6,3,5]=>[3,2,8,6,-1,7,5,4]
[3,1,8,5,7,6,2,4]=>[3,8,2,-1,5,7,6,4]
[6,1,5,8,7,4,2,3]=>[3,8,-1,7,4,2,6,5]
[5,4,1,8,7,6,2,3]=>[4,8,-1,3,2,7,6,5]
[5,8,6,7,4,3,2,1]=>[-1,8,7,6,2,4,5,3]
[4,8,7,5,6,3,2,1]=>[-1,8,7,2,5,6,4,3]
[3,8,7,6,4,5,2,1]=>[-1,8,2,6,7,5,4,3]
[2,8,7,6,5,3,4,1]=>[-1,2,7,8,6,5,4,3]
[1,8,7,6,5,4,2,3]=>[2,8,-1,7,6,5,4,3]
[5,4,7,6,2,3,8,1]=>[-1,6,7,3,2,5,4,8]
[8,5,7,3,6,1,4,2]=>[7,-1,5,8,3,6,4,2]
[3,8,2,1,7,6,5,4]=>[5,4,2,-1,8,7,6,3]
[4,8,2,7,1,6,5,3]=>[6,4,-1,2,8,7,5,3]
[5,8,7,2,1,6,4,3]=>[6,5,-1,8,2,7,4,3]
[1,2,3,8,7,6,5,4]=>[2,3,4,-1,8,7,6,5]
[5,4,7,6,8,1,3,2]=>[7,-1,8,3,2,5,4,6]
[6,7,8,1,2,5,4,3]=>[5,6,-1,8,7,2,3,4]
[1,3,5,8,2,4,6,7]=>[2,6,3,7,4,8,-1,5]
[1,5,2,8,3,4,6,7]=>[2,4,6,7,3,8,-1,5]
[1,3,2,5,8,4,6,7]=>[2,4,3,7,5,8,-1,6]
[8,1,3,2,5,4,6,7]=>[3,5,4,7,6,8,-1,2]
[5,1,3,2,4,8,6,7]=>[3,5,4,6,2,8,-1,7]
[5,1,2,7,3,4,8,6]=>[3,4,6,7,2,-1,5,8]
[2,8,1,5,3,4,7,6]=>[4,2,6,7,5,-1,8,3]
[1,2,8,4,5,3,7,6]=>[2,3,7,5,6,-1,8,4]
[1,4,2,5,7,3,8,6]=>[2,4,7,3,5,-1,6,8]
[1,4,2,5,3,8,6,7]=>[2,4,6,3,5,8,-1,7]
[1,4,2,8,5,3,6,7]=>[2,4,7,3,6,8,-1,5]
[1,8,4,2,5,3,6,7]=>[2,5,7,4,6,8,-1,3]
[8,1,5,3,2,4,6,7]=>[3,6,5,7,4,8,-1,2]
[3,8,1,5,2,4,6,7]=>[4,6,2,7,5,8,-1,3]
[3,5,1,4,8,2,6,7]=>[4,7,2,5,3,8,-1,6]
[5,1,4,2,8,3,6,7]=>[3,5,7,4,2,8,-1,6]
[1,5,2,8,4,3,6,7]=>[2,4,7,6,3,8,-1,5]
[1,2,8,5,4,3,6,7]=>[2,3,7,6,5,8,-1,4]
[1,2,5,4,3,8,6,7]=>[2,3,6,5,4,8,-1,7]
[1,2,5,4,7,3,8,6]=>[2,3,7,5,4,-1,6,8]
[1,2,4,8,5,3,7,6]=>[2,3,7,4,6,-1,8,5]
[4,1,2,6,3,8,7,5]=>[3,4,6,2,-1,5,8,7]
[4,1,2,7,6,3,8,5]=>[3,4,7,2,-1,6,5,8]
[1,2,7,4,8,5,3,6]=>[2,3,8,5,7,-1,4,6]
[1,5,2,7,8,4,3,6]=>[2,4,8,7,3,-1,5,6]
[5,1,2,7,4,8,3,6]=>[3,4,8,6,2,-1,5,7]
[3,5,7,1,4,8,2,6]=>[5,8,2,6,3,-1,4,7]
[8,3,5,1,4,7,2,6]=>[5,8,3,6,4,-1,7,2]
[2,8,1,5,4,7,3,6]=>[4,2,8,6,5,-1,7,3]
[1,2,8,5,7,4,3,6]=>[2,3,8,7,5,-1,6,4]
[1,2,4,8,7,5,3,6]=>[2,3,8,4,7,-1,6,5]
[4,1,2,8,6,3,7,5]=>[3,4,7,2,-1,6,8,5]
[2,8,1,4,3,7,6,5]=>[4,2,6,5,-1,8,7,3]
[1,2,5,3,8,7,6,4]=>[2,3,5,-1,4,8,7,6]
[1,2,8,6,5,3,7,4]=>[2,3,7,-1,6,5,8,4]
[6,1,2,8,7,4,3,5]=>[3,4,8,7,-1,2,6,5]
[6,4,1,2,8,7,3,5]=>[4,5,8,3,-1,2,7,6]
[3,6,4,8,1,7,2,5]=>[6,8,2,4,-1,3,7,5]
[7,6,1,4,2,8,3,5]=>[4,6,8,5,-1,3,2,7]
[7,1,6,2,8,4,3,5]=>[3,5,8,7,-1,4,2,6]
[1,7,5,2,6,3,8,4]=>[2,5,7,-1,4,6,3,8]
[1,6,2,7,5,3,8,4]=>[2,4,7,-1,6,3,5,8]
[1,2,7,6,5,3,8,4]=>[2,3,7,-1,6,5,4,8]
[1,2,6,5,3,8,7,4]=>[2,3,6,-1,5,4,8,7]
[1,5,2,6,3,8,7,4]=>[2,4,6,-1,3,5,8,7]
[1,5,2,7,6,3,8,4]=>[2,4,7,-1,3,6,5,8]
[1,6,5,2,7,3,8,4]=>[2,5,7,-1,4,3,6,8]
[1,6,7,2,8,4,3,5]=>[2,5,8,7,-1,3,4,6]
[6,7,1,4,2,8,3,5]=>[4,6,8,5,-1,2,3,7]
[6,3,7,1,4,8,2,5]=>[5,8,3,6,-1,2,4,7]
[3,7,8,1,5,2,4,6]=>[5,7,2,8,6,-1,3,4]
[7,1,2,8,5,3,4,6]=>[3,4,7,8,6,-1,2,5]
[1,7,2,8,4,5,3,6]=>[2,4,8,6,7,-1,3,5]
[1,4,2,7,8,5,3,6]=>[2,4,8,3,7,-1,5,6]
[1,4,6,2,7,3,8,5]=>[2,5,7,3,-1,4,6,8]
[6,1,2,8,4,3,7,5]=>[3,4,7,6,-1,2,8,5]
[7,6,1,3,2,4,8,5]=>[4,6,5,7,-1,3,2,8]
[6,7,1,3,2,4,8,5]=>[4,6,5,7,-1,2,3,8]
[1,2,7,3,5,8,4,6]=>[2,3,5,8,6,-1,4,7]
[1,2,7,5,8,3,4,6]=>[2,3,7,8,5,-1,4,6]
[5,8,1,3,7,2,4,6]=>[4,7,5,8,2,-1,6,3]
[1,2,5,8,7,3,4,6]=>[2,3,7,8,4,-1,6,5]
[1,2,5,8,3,7,4,6]=>[2,3,6,8,4,-1,7,5]
[2,8,1,7,3,5,4,6]=>[4,2,6,8,7,-1,5,3]
[8,6,1,3,2,4,7,5]=>[4,6,5,7,-1,3,8,2]
[4,2,8,1,7,3,6,5]=>[5,3,7,2,-1,8,6,4]
[7,1,2,8,4,3,6,5]=>[3,4,7,6,-1,8,2,5]
[1,2,8,4,7,5,3,6]=>[2,3,8,5,7,-1,6,4]
[1,2,8,7,4,5,3,6]=>[2,3,8,6,7,-1,5,4]
[2,8,1,7,5,3,4,6]=>[4,2,7,8,6,-1,5,3]
[8,3,7,1,5,2,4,6]=>[5,7,3,8,6,-1,4,2]
[8,6,1,4,2,7,3,5]=>[4,6,8,5,-1,3,7,2]
[8,1,6,2,7,4,3,5]=>[3,5,8,7,-1,4,6,2]
[1,8,5,2,6,3,7,4]=>[2,5,7,-1,4,6,8,3]
[1,5,2,8,6,3,7,4]=>[2,4,7,-1,3,6,8,5]
[1,5,2,7,3,8,6,4]=>[2,4,6,-1,3,8,5,7]
[1,2,8,5,3,7,6,4]=>[2,3,6,-1,5,8,7,4]
[1,2,6,3,8,7,5,4]=>[2,3,5,-1,8,4,7,6]
[1,2,7,6,3,8,5,4]=>[2,3,6,-1,8,5,4,7]
[1,6,2,7,3,8,5,4]=>[2,4,6,-1,8,3,5,7]
[1,7,2,8,5,3,6,4]=>[2,4,7,-1,6,8,3,5]
[7,1,2,8,6,4,3,5]=>[3,4,8,7,-1,6,2,5]
[7,4,1,2,8,6,3,5]=>[4,5,8,3,-1,7,2,6]
[3,7,4,8,1,6,2,5]=>[6,8,2,4,-1,7,3,5]
[3,4,8,7,1,6,2,5]=>[6,8,2,3,-1,7,5,4]
[4,2,8,1,7,6,3,5]=>[5,3,8,2,-1,7,6,4]
[2,8,1,7,6,4,3,5]=>[4,2,8,7,-1,6,5,3]
[1,2,8,7,5,3,6,4]=>[2,3,7,-1,6,8,5,4]
[1,2,8,6,3,7,5,4]=>[2,3,6,-1,8,5,7,4]
[1,2,7,3,8,6,5,4]=>[2,3,5,-1,8,7,4,6]
[6,5,3,4,7,2,8,1]=>[-1,7,4,5,3,2,6,8]
[7,5,3,6,2,4,8,1]=>[-1,6,4,7,3,5,2,8]
[8,5,3,6,2,7,1,4]=>[8,6,4,-1,3,5,7,2]
[8,2,6,3,4,7,1,5]=>[8,3,5,6,-1,4,7,2]
[7,2,6,3,4,5,8,1]=>[-1,3,5,6,7,4,2,8]
[6,2,7,3,4,5,8,1]=>[-1,3,5,6,7,2,4,8]
[6,7,3,5,2,4,8,1]=>[-1,6,4,7,5,2,3,8]
[3,7,6,2,4,5,8,1]=>[-1,5,2,6,7,4,3,8]
[2,7,6,3,4,5,8,1]=>[-1,2,5,6,7,4,3,8]
[8,6,5,2,3,7,1,4]=>[8,5,6,-1,4,3,7,2]
[5,4,8,6,2,7,1,3]=>[8,6,-1,3,2,5,7,4]
[3,8,6,2,4,7,1,5]=>[8,5,2,6,-1,4,7,3]
[7,8,5,2,3,6,1,4]=>[8,5,6,-1,4,7,2,3]
[1,8,6,3,7,2,4,5]=>[2,7,5,8,-1,4,6,3]
[8,7,5,2,6,1,3,4]=>[7,5,8,-1,4,6,3,2]
[1,8,2,7,3,4,5,6]=>[2,4,6,7,8,-1,5,3]
[2,8,1,7,3,4,5,6]=>[4,2,6,7,8,-1,5,3]
[1,7,2,8,3,4,5,6]=>[2,4,6,7,8,-1,3,5]
[8,1,2,7,3,4,5,6]=>[3,4,6,7,8,-1,5,2]
[7,1,2,8,3,4,5,6]=>[3,4,6,7,8,-1,2,5]
[3,2,1,5,8,4,6,7]=>[4,3,2,7,5,8,-1,6]
[5,4,6,3,8,7,1,2]=>[8,-1,5,3,2,4,7,6]
[3,6,4,5,8,7,1,2]=>[8,-1,2,4,5,3,7,6]
[6,5,3,4,8,7,1,2]=>[8,-1,4,5,3,2,7,6]
[8,5,3,7,6,1,2,4]=>[7,8,4,-1,3,6,5,2]
[8,6,7,2,5,1,3,4]=>[7,5,8,-1,6,3,4,2]
[6,1,8,3,7,2,4,5]=>[3,7,5,8,-1,2,6,4]
[7,6,8,2,3,5,1,4]=>[8,5,6,-1,7,3,2,4]
[3,7,8,2,4,6,1,5]=>[8,5,2,6,-1,7,3,4]
[6,7,3,8,2,5,1,4]=>[8,6,4,-1,7,2,3,5]
[5,4,7,8,2,6,1,3]=>[8,6,-1,3,2,7,4,5]
[2,3,8,7,1,4,5,6]=>[6,2,3,7,8,-1,5,4]
[7,2,8,6,1,3,4,5]=>[6,3,7,8,-1,5,2,4]
[2,1,8,7,3,4,5,6]=>[3,2,6,7,8,-1,5,4]
[8,2,7,6,1,3,4,5]=>[6,3,7,8,-1,5,4,2]
[1,2,8,7,3,4,5,6]=>[2,3,6,7,8,-1,5,4]
[1,3,8,7,2,4,5,6]=>[2,6,3,7,8,-1,5,4]
[1,7,8,3,6,2,4,5]=>[2,7,5,8,-1,6,3,4]
[5,4,8,7,6,1,2,3]=>[7,8,-1,3,2,6,5,4]
[6,8,3,7,5,1,2,4]=>[7,8,4,-1,6,2,5,3]
[7,8,6,2,5,1,3,4]=>[7,5,8,-1,6,4,2,3]
[3,8,7,6,1,2,4,5]=>[6,7,2,8,-1,5,4,3]
[2,8,7,6,1,3,4,5]=>[6,2,7,8,-1,5,4,3]
[5,8,6,7,3,1,2,4]=>[7,8,6,-1,2,4,5,3]
[7,5,6,8,1,4,2,3]=>[6,8,-1,7,3,4,2,5]
[5,7,8,4,1,6,2,3]=>[6,8,-1,5,2,7,3,4]
[6,7,8,1,4,5,2,3]=>[5,8,-1,6,7,2,3,4]
[6,7,8,1,3,2,5,4]=>[5,7,6,-1,8,2,3,4]
[5,7,8,3,1,2,6,4]=>[6,7,5,-1,2,8,3,4]
[5,2,6,7,1,3,4,8]=>[6,3,7,8,2,4,5,-1]
[4,5,3,2,8,1,7,6]=>[7,5,4,2,3,-1,8,6]
[4,6,3,8,2,1,7,5]=>[7,6,4,2,-1,3,8,5]
[3,8,6,7,1,5,2,4]=>[6,8,2,-1,7,4,5,3]
[1,6,2,7,3,8,4,5]=>[2,4,6,8,-1,3,5,7]
[5,8,7,6,3,4,1,2]=>[8,-1,6,7,2,5,4,3]
[7,8,3,6,5,4,1,2]=>[8,-1,4,7,6,5,2,3]
[2,8,1,7,5,6,3,4]=>[4,2,8,-1,6,7,5,3]
[7,8,5,4,3,6,1,2]=>[8,-1,6,5,4,7,2,3]
[1,7,6,5,8,4,3,2]=>[2,-1,8,7,5,4,3,6]
[5,7,6,4,1,8,3,2]=>[6,-1,8,5,2,4,3,7]
[5,7,4,2,3,8,1,6]=>[8,5,6,4,2,-1,3,7]
[7,4,6,3,8,1,2,5]=>[7,8,5,3,-1,4,2,6]
[6,7,5,4,3,2,1,8]=>[8,7,6,5,4,2,3,-1]
[6,5,7,4,3,2,1,8]=>[8,7,6,5,3,2,4,-1]
[5,7,6,4,3,2,1,8]=>[8,7,6,5,2,4,3,-1]
[1,7,6,8,5,4,3,2]=>[2,-1,8,7,6,4,3,5]
[1,6,8,7,5,4,3,2]=>[2,-1,8,7,6,3,5,4]
[6,5,4,7,3,2,1,8]=>[8,7,6,4,3,2,5,-1]
[5,6,7,4,3,2,1,8]=>[8,7,6,5,2,3,4,-1]
[4,7,6,5,3,2,1,8]=>[8,7,6,2,5,4,3,-1]
[1,6,7,8,5,4,3,2]=>[2,-1,8,7,6,3,4,5]
[1,5,8,7,6,4,3,2]=>[2,-1,8,7,3,6,5,4]
[2,8,3,1,5,4,6,7]=>[5,2,4,7,6,8,-1,3]
[2,5,3,4,7,1,8,6]=>[7,2,4,5,3,-1,6,8]
[2,4,8,3,5,7,6,1]=>[-1,2,5,3,6,8,7,4]
[2,8,4,3,5,7,6,1]=>[-1,2,5,4,6,8,7,3]
[4,2,5,3,1,8,6,7]=>[6,3,5,2,4,8,-1,7]
[4,2,1,8,5,3,6,7]=>[4,3,7,2,6,8,-1,5]
[5,4,1,3,8,2,6,7]=>[4,7,5,3,2,8,-1,6]
[5,1,4,8,3,2,6,7]=>[3,7,6,4,2,8,-1,5]
[1,5,8,4,3,2,6,7]=>[2,7,6,5,3,8,-1,4]
[1,8,5,4,3,2,6,7]=>[2,7,6,5,4,8,-1,3]
[4,3,2,8,5,7,6,1]=>[-1,4,3,2,6,8,7,5]
[1,7,4,3,8,5,2,6]=>[2,8,5,4,7,-1,3,6]
[1,5,7,3,8,4,2,6]=>[2,8,5,7,3,-1,4,6]
[5,1,4,7,8,3,2,6]=>[3,8,7,4,2,-1,5,6]
[5,4,7,1,3,8,2,6]=>[5,8,6,3,2,-1,4,7]
[4,8,1,5,7,3,6,2]=>[4,-1,7,2,5,8,6,3]
[8,1,5,3,7,4,6,2]=>[3,-1,5,7,4,8,6,2]
[3,8,4,7,6,5,2,1]=>[-1,8,2,4,7,6,5,3]
[1,6,8,5,3,7,4,2]=>[2,-1,6,8,5,3,7,4]
[6,8,1,7,4,3,5,2]=>[4,-1,7,6,8,2,5,3]
[6,4,8,1,7,3,5,2]=>[5,-1,7,3,8,2,6,4]
[6,4,8,7,1,5,2,3]=>[6,8,-1,3,7,2,5,4]
[7,6,4,1,3,8,2,5]=>[5,8,6,4,-1,3,2,7]
[7,1,6,8,4,3,2,5]=>[3,8,7,6,-1,4,2,5]
[1,7,5,6,3,2,8,4]=>[2,7,6,-1,4,5,3,8]
[4,2,1,7,8,5,3,6]=>[4,3,8,2,7,-1,5,6]
[2,7,4,6,3,1,8,5]=>[7,2,6,4,-1,5,3,8]
[2,6,8,4,3,7,5,1]=>[-1,2,6,5,8,3,7,4]
[6,2,4,8,3,7,5,1]=>[-1,3,6,4,8,2,7,5]
[7,2,6,3,4,1,8,5]=>[7,3,5,6,-1,4,2,8]
[2,6,7,3,1,4,8,5]=>[6,2,5,7,-1,3,4,8]
[2,7,1,8,3,5,4,6]=>[4,2,6,8,7,-1,3,5]
[2,1,7,3,5,8,4,6]=>[3,2,5,8,6,-1,4,7]
[8,7,1,3,6,2,4,5]=>[4,7,5,8,-1,6,3,2]
[8,1,2,7,6,3,4,5]=>[3,4,7,8,-1,6,5,2]
[8,2,1,7,3,5,6,4]=>[4,3,6,-1,7,8,5,2]
[8,2,6,1,7,3,5,4]=>[5,3,7,-1,8,4,6,2]
[7,8,2,6,3,1,5,4]=>[7,4,6,-1,8,5,2,3]
[8,7,2,6,3,5,4,1]=>[-1,4,6,8,7,5,3,2]
[8,2,7,4,6,5,3,1]=>[-1,3,8,5,7,6,4,2]
[2,1,8,4,7,5,6,3]=>[3,2,-1,5,7,8,6,4]
[1,2,8,7,4,5,6,3]=>[2,3,-1,6,7,8,5,4]
[8,3,7,1,5,6,2,4]=>[5,8,3,-1,6,7,4,2]
[8,6,1,2,7,5,3,4]=>[4,5,8,-1,7,3,6,2]
[8,1,6,2,7,4,5,3]=>[3,5,-1,7,8,4,6,2]
[1,8,5,2,6,7,4,3]=>[2,5,-1,8,4,6,7,3]
[5,2,1,8,6,7,4,3]=>[4,3,-1,8,2,6,7,5]
[2,8,5,7,6,4,3,1]=>[-1,2,8,7,4,6,5,3]
[1,7,8,5,2,6,4,3]=>[2,6,-1,8,5,7,3,4]
[7,8,1,6,4,2,5,3]=>[4,7,-1,6,8,5,2,3]
[7,8,6,1,5,3,2,4]=>[5,8,7,-1,6,4,2,3]
[7,3,8,6,1,5,2,4]=>[6,8,3,-1,7,5,2,4]
[8,7,6,1,5,3,4,2]=>[5,-1,7,8,6,4,3,2]
[8,7,1,6,4,5,3,2]=>[4,-1,8,6,7,5,3,2]
[8,1,7,5,6,4,3,2]=>[3,-1,8,7,5,6,4,2]
[1,8,6,7,5,4,3,2]=>[2,-1,8,7,6,4,5,3]
[4,7,5,2,1,8,3,6]=>[6,5,8,2,4,-1,3,7]
[4,8,5,2,1,7,6,3]=>[6,5,-1,2,4,8,7,3]
[4,6,5,2,1,3,8,7]=>[6,5,7,2,4,3,-1,8]
[5,6,4,2,3,1,8,7]=>[7,5,6,4,2,3,-1,8]
[6,4,5,3,1,2,8,7]=>[6,7,5,3,4,2,-1,8]
[5,4,6,1,3,2,8,7]=>[5,7,6,3,2,4,-1,8]
[4,6,8,1,7,3,2,5]=>[5,8,7,2,-1,3,6,4]
[4,7,8,1,6,3,5,2]=>[5,-1,7,2,8,6,3,4]
[7,4,8,1,6,5,3,2]=>[5,-1,8,3,7,6,2,4]
[5,4,8,1,3,7,6,2]=>[5,-1,6,3,2,8,7,4]
[8,4,5,3,1,7,6,2]=>[6,-1,5,3,4,8,7,2]
[6,4,8,1,7,5,2,3]=>[5,8,-1,3,7,2,6,4]
[5,6,8,7,2,1,3,4]=>[7,6,8,-1,2,3,5,4]
[8,5,7,6,4,2,1,3]=>[8,7,-1,6,3,5,4,2]
[8,4,6,3,7,2,1,5]=>[8,7,5,3,-1,4,6,2]
[6,3,2,8,7,4,1,5]=>[8,4,3,7,-1,2,6,5]
[2,1,6,8,7,4,3,5]=>[3,2,8,7,-1,4,6,5]
[2,1,7,8,6,4,5,3]=>[3,2,-1,7,8,6,4,5]
[7,3,2,8,6,4,5,1]=>[-1,4,3,7,8,6,2,5]
[8,4,7,3,6,2,5,1]=>[-1,7,5,3,8,6,4,2]
[7,6,8,5,2,4,3,1]=>[-1,6,8,7,5,3,2,4]
[6,7,8,5,2,3,4,1]=>[-1,6,7,8,5,2,3,4]
[5,7,8,6,2,3,1,4]=>[8,6,7,-1,2,5,3,4]
[5,8,7,6,3,2,1,4]=>[8,7,6,-1,2,5,4,3]
[6,8,7,5,3,2,4,1]=>[-1,7,6,8,5,2,4,3]
[7,8,6,5,3,4,2,1]=>[-1,8,6,7,5,4,2,3]
[5,8,4,2,3,7,6,1]=>[-1,5,6,4,2,8,7,3]
[7,8,4,2,6,5,3,1]=>[-1,5,8,4,7,6,2,3]
[4,8,7,2,6,3,5,1]=>[-1,5,7,2,8,6,4,3]
[4,8,6,2,7,3,1,5]=>[8,5,7,2,-1,4,6,3]
[3,6,1,8,7,4,2,5]=>[4,8,2,7,-1,3,6,5]
[3,7,1,8,6,4,5,2]=>[4,-1,2,7,8,6,3,5]
[3,8,1,6,7,5,2,4]=>[4,8,2,-1,7,5,6,3]
[3,7,1,6,8,2,5,4]=>[4,7,2,-1,8,5,3,6]
[4,7,6,2,8,1,3,5]=>[7,5,8,2,-1,4,3,6]
[6,7,4,2,8,1,5,3]=>[7,5,-1,4,8,2,3,6]
[6,8,4,2,7,5,1,3]=>[8,5,-1,4,7,2,6,3]
[2,1,8,6,7,5,3,4]=>[3,2,8,-1,7,5,6,4]
[8,3,2,6,7,5,1,4]=>[8,4,3,-1,7,5,6,2]
[8,6,4,3,7,5,1,2]=>[8,-1,5,4,7,3,6,2]
[8,7,5,6,4,3,1,2]=>[8,-1,7,6,4,5,3,2]
[6,7,5,8,1,3,4,2]=>[6,-1,7,8,4,2,3,5]
[7,6,5,8,1,4,3,2]=>[6,-1,8,7,4,3,2,5]
[8,6,5,7,4,1,3,2]=>[7,-1,8,6,4,3,5,2]
[7,6,4,3,8,1,5,2]=>[7,-1,5,4,8,3,2,6]
[7,3,2,6,8,1,5,4]=>[7,4,3,-1,8,5,2,6]
[2,1,7,6,8,3,5,4]=>[3,2,7,-1,8,5,4,6]
[8,5,6,7,4,1,2,3]=>[7,8,-1,6,3,4,5,2]
[6,5,7,8,1,2,4,3]=>[6,7,-1,8,3,2,4,5]
[5,6,3,4,1,2,8,7]=>[6,7,4,5,2,3,-1,8]
[6,5,3,4,2,1,8,7]=>[7,6,4,5,3,2,-1,8]
[8,5,3,7,2,6,4,1]=>[-1,6,4,8,3,7,5,2]
[8,5,7,4,2,6,3,1]=>[-1,6,8,5,3,7,4,2]
[7,5,8,4,2,6,1,3]=>[8,6,-1,5,3,7,2,4]
[8,7,6,4,5,3,2,1]=>[-1,8,7,5,6,4,3,2]
[7,8,6,4,5,3,1,2]=>[8,-1,7,5,6,4,2,3]
[2,1,7,8,5,6,3,4]=>[3,2,8,-1,6,7,4,5]
[2,1,8,7,5,6,4,3]=>[3,2,-1,8,6,7,5,4]
[8,7,3,6,5,4,2,1]=>[-1,8,4,7,6,5,3,2]
[6,8,3,7,5,1,4,2]=>[7,-1,4,8,6,2,5,3]
[5,7,3,8,1,6,2,4]=>[6,8,4,-1,2,7,3,5]
[5,8,3,7,1,6,4,2]=>[6,-1,4,8,2,7,5,3]
[4,5,3,2,7,6,1,8]=>[8,5,4,2,3,7,6,-1]
[4,6,3,7,2,5,1,8]=>[8,6,4,2,7,3,5,-1]
[4,6,3,7,5,2,1,8]=>[8,7,4,2,6,3,5,-1]
[4,6,3,8,5,1,2,7]=>[7,8,4,2,6,3,-1,5]
[4,6,3,8,5,1,7,2]=>[7,-1,4,2,6,3,8,5]
[5,6,8,3,4,1,7,2]=>[7,-1,5,6,2,3,8,4]
[5,6,8,3,4,1,2,7]=>[7,8,5,6,2,3,-1,4]
[5,6,7,3,4,2,1,8]=>[8,7,5,6,2,3,4,-1]
[5,6,7,3,2,4,1,8]=>[8,6,5,7,2,3,4,-1]
[3,2,6,7,5,4,1,8]=>[8,3,2,7,6,4,5,-1]
[4,6,2,7,5,3,1,8]=>[8,4,7,2,6,3,5,-1]
[5,6,7,2,4,3,1,8]=>[8,5,7,6,2,3,4,-1]
[5,6,7,4,2,3,1,8]=>[8,6,7,5,2,3,4,-1]
[5,6,8,4,3,1,2,7]=>[7,8,6,5,2,3,-1,4]
[5,6,8,4,3,1,7,2]=>[7,-1,6,5,2,3,8,4]
[5,7,8,4,1,3,6,2]=>[6,-1,7,5,2,8,3,4]
[5,7,8,4,1,3,2,6]=>[6,8,7,5,2,-1,3,4]
[5,7,8,4,1,2,3,6]=>[6,7,8,5,2,-1,3,4]
[5,6,8,4,2,1,3,7]=>[7,6,8,5,2,3,-1,4]
[5,6,8,2,4,1,3,7]=>[7,5,8,6,2,3,-1,4]
[4,6,2,8,5,1,3,7]=>[7,4,8,2,6,3,-1,5]
[3,2,6,8,5,1,7,4]=>[7,3,2,-1,6,4,8,5]
[4,6,2,8,5,1,7,3]=>[7,4,-1,2,6,3,8,5]
[5,6,8,2,4,1,7,3]=>[7,5,-1,6,2,3,8,4]
[5,6,8,4,2,1,7,3]=>[7,6,-1,5,2,3,8,4]
[5,7,8,4,1,2,6,3]=>[6,7,-1,5,2,8,3,4]
[5,7,8,4,1,6,3,2]=>[6,-1,8,5,2,7,3,4]
[6,7,8,1,4,5,3,2]=>[5,-1,8,6,7,2,3,4]
[6,7,8,1,4,2,5,3]=>[5,7,-1,6,8,2,3,4]
[6,7,8,1,2,4,5,3]=>[5,6,-1,7,8,2,3,4]
[5,7,8,2,1,4,6,3]=>[6,5,-1,7,2,8,3,4]
[4,7,2,8,1,5,6,3]=>[6,4,-1,2,7,8,3,5]
[3,2,7,8,1,5,6,4]=>[6,3,2,-1,7,8,4,5]
[3,2,7,8,1,5,4,6]=>[6,3,2,8,7,-1,4,5]
[5,7,8,2,1,4,3,6]=>[6,5,8,7,2,-1,3,4]
[6,7,8,1,2,4,3,5]=>[5,6,8,7,-1,2,3,4]
[6,7,8,1,4,2,3,5]=>[5,7,8,6,-1,2,3,4]
[6,7,8,1,4,3,2,5]=>[5,8,7,6,-1,2,3,4]
[6,7,8,1,4,3,5,2]=>[5,-1,7,6,8,2,3,4]
[6,7,8,1,3,4,5,2]=>[5,-1,6,7,8,2,3,4]
[6,7,8,1,3,4,2,5]=>[5,8,6,7,-1,2,3,4]
[6,7,8,1,3,2,4,5]=>[5,7,6,8,-1,2,3,4]
[5,6,8,3,2,1,4,7]=>[7,6,5,8,2,3,-1,4]
[5,7,8,3,1,2,4,6]=>[6,7,5,8,2,-1,3,4]
[5,7,8,3,1,4,2,6]=>[6,8,5,7,2,-1,3,4]
[5,7,8,3,1,4,6,2]=>[6,-1,5,7,2,8,3,4]
[4,7,3,8,1,5,6,2]=>[6,-1,4,2,7,8,3,5]
[4,7,3,8,1,5,2,6]=>[6,8,4,2,7,-1,3,5]
[4,7,3,8,1,2,5,6]=>[6,7,4,2,8,-1,3,5]
[4,6,3,8,2,1,5,7]=>[7,6,4,2,8,3,-1,5]
[4,5,3,2,8,1,6,7]=>[7,5,4,2,3,8,-1,6]
[3,2,5,4,8,1,7,6]=>[7,3,2,5,4,-1,8,6]
[4,5,2,3,8,1,7,6]=>[7,4,5,2,3,-1,8,6]
[4,7,3,8,1,2,6,5]=>[6,7,4,2,-1,8,3,5]
[4,7,3,8,1,6,2,5]=>[6,8,4,2,-1,7,3,5]
[4,7,3,8,1,6,5,2]=>[6,-1,4,2,8,7,3,5]
[5,7,8,3,1,6,4,2]=>[6,-1,5,8,2,7,3,4]
[5,7,8,3,1,6,2,4]=>[6,8,5,-1,2,7,3,4]
[5,6,8,3,2,1,7,4]=>[7,6,5,-1,2,3,8,4]
[4,6,2,8,3,1,7,5]=>[7,4,6,2,-1,3,8,5]
[3,2,6,8,4,1,7,5]=>[7,3,2,6,-1,4,8,5]
[3,2,7,8,1,4,6,5]=>[6,3,2,7,-1,8,4,5]
[4,7,2,8,1,3,6,5]=>[6,4,7,2,-1,8,3,5]
[5,7,8,2,1,3,6,4]=>[6,5,7,-1,2,8,3,4]
[6,7,8,1,2,3,5,4]=>[5,6,7,-1,8,2,3,4]
[6,7,8,1,3,5,2,4]=>[5,8,6,-1,7,2,3,4]
[6,7,8,1,3,5,4,2]=>[5,-1,6,8,7,2,3,4]
[6,7,8,1,5,3,4,2]=>[5,-1,7,8,6,2,3,4]
[6,7,8,1,5,3,2,4]=>[5,8,7,-1,6,2,3,4]
[6,7,8,1,5,2,3,4]=>[5,7,8,-1,6,2,3,4]
[6,7,8,1,2,5,3,4]=>[5,6,8,-1,7,2,3,4]
[5,7,8,2,1,6,3,4]=>[6,5,8,-1,2,7,3,4]
[4,7,2,8,1,6,3,5]=>[6,4,8,2,-1,7,3,5]
[3,2,7,8,1,6,4,5]=>[6,3,2,8,-1,7,4,5]
[4,7,2,8,1,6,5,3]=>[6,4,-1,2,8,7,3,5]
[5,7,8,2,1,6,4,3]=>[6,5,-1,8,2,7,3,4]
[6,7,8,1,5,2,4,3]=>[5,7,-1,8,6,2,3,4]
[6,7,8,1,5,4,2,3]=>[5,8,-1,7,6,2,3,4]
[6,7,8,1,5,4,3,2]=>[5,-1,8,7,6,2,3,4]
[2,4,7,8,1,3,5,6]=>[6,2,7,3,8,-1,4,5]
[2,5,6,8,1,3,4,7]=>[6,2,7,8,3,4,-1,5]
[2,5,7,8,1,3,4,6]=>[6,2,7,8,3,-1,4,5]
[2,6,7,8,1,3,4,5]=>[6,2,7,8,-1,3,4,5]
[3,4,6,8,1,2,5,7]=>[6,7,2,3,8,4,-1,5]
[3,5,6,8,1,2,4,7]=>[6,7,2,8,3,4,-1,5]
[3,5,7,8,1,2,4,6]=>[6,7,2,8,3,-1,4,5]
[3,6,7,8,1,2,4,5]=>[6,7,2,8,-1,3,4,5]
[4,5,6,8,1,2,3,7]=>[6,7,8,2,3,4,-1,5]
[4,5,7,8,1,2,3,6]=>[6,7,8,2,3,-1,4,5]
[4,6,7,8,1,2,3,5]=>[6,7,8,2,-1,3,4,5]
[5,8,6,2,4,1,7,3]=>[7,5,-1,6,2,4,8,3]
[8,1,2,3,4,5,7,6]=>[3,4,5,6,7,-1,8,2]
[1,7,2,3,4,6,5,8]=>[2,4,5,6,8,7,3,-1]
[1,4,2,3,5,6,7,8]=>[2,4,5,3,6,7,8,-1]
[1,5,2,3,4,6,7,8]=>[2,4,5,6,3,7,8,-1]
[1,6,2,3,4,5,7,8]=>[2,4,5,6,7,3,8,-1]
[1,7,2,3,4,5,6,8]=>[2,4,5,6,7,8,3,-1]
[1,8,2,3,4,5,6,7]=>[2,4,5,6,7,8,-1,3]
[1,8,2,4,3,5,6,7]=>[2,4,6,5,7,8,-1,3]
[1,7,2,4,3,5,6,8]=>[2,4,6,5,7,8,3,-1]
[1,6,2,4,3,5,7,8]=>[2,4,6,5,7,3,8,-1]
[1,5,2,4,3,6,7,8]=>[2,4,6,5,3,7,8,-1]
[1,2,3,6,4,5,7,8]=>[2,3,4,6,7,5,8,-1]
[1,3,2,6,4,5,7,8]=>[2,4,3,6,7,5,8,-1]
[1,4,2,6,3,5,7,8]=>[2,4,6,3,7,5,8,-1]
[1,5,2,6,3,4,7,8]=>[2,4,6,7,3,5,8,-1]
[1,6,2,5,3,4,7,8]=>[2,4,6,7,5,3,8,-1]
[1,7,2,5,3,4,6,8]=>[2,4,6,7,5,8,3,-1]
[1,8,2,5,3,4,6,7]=>[2,4,6,7,5,8,-1,3]
[1,8,2,6,3,4,5,7]=>[2,4,6,7,8,5,-1,3]
[1,7,2,6,3,4,5,8]=>[2,4,6,7,8,5,3,-1]
[1,6,2,7,3,4,5,8]=>[2,4,6,7,8,3,5,-1]
[1,4,2,7,3,5,6,8]=>[2,4,6,3,7,8,5,-1]
[1,3,2,7,4,5,6,8]=>[2,4,3,6,7,8,5,-1]
[1,2,3,7,4,5,6,8]=>[2,3,4,6,7,8,5,-1]
[1,3,2,8,4,5,6,7]=>[2,4,3,6,7,8,-1,5]
[1,6,2,8,3,4,5,7]=>[2,4,6,7,8,3,-1,5]
[1,8,2,7,3,5,4,6]=>[2,4,6,8,7,-1,5,3]
[1,7,2,8,3,5,4,6]=>[2,4,6,8,7,-1,3,5]
[1,5,2,8,3,6,4,7]=>[2,4,6,8,3,7,-1,5]
[1,4,2,8,3,6,5,7]=>[2,4,6,3,8,7,-1,5]
[1,3,2,8,4,6,5,7]=>[2,4,3,6,8,7,-1,5]
[1,2,3,8,4,6,5,7]=>[2,3,4,6,8,7,-1,5]
[1,2,3,7,4,6,5,8]=>[2,3,4,6,8,7,5,-1]
[1,3,2,7,4,6,5,8]=>[2,4,3,6,8,7,5,-1]
[1,4,2,7,3,6,5,8]=>[2,4,6,3,8,7,5,-1]
[1,5,2,7,3,6,4,8]=>[2,4,6,8,3,7,5,-1]
[1,6,2,7,3,5,4,8]=>[2,4,6,8,7,3,5,-1]
[1,7,2,6,3,5,4,8]=>[2,4,6,8,7,5,3,-1]
[1,8,2,6,3,5,4,7]=>[2,4,6,8,7,5,-1,3]
[1,8,2,5,3,6,4,7]=>[2,4,6,8,5,7,-1,3]
[1,7,2,5,3,6,4,8]=>[2,4,6,8,5,7,3,-1]
[1,6,2,5,3,7,4,8]=>[2,4,6,8,5,3,7,-1]
[1,5,2,4,3,7,6,8]=>[2,4,6,5,3,8,7,-1]
[1,6,2,4,3,7,5,8]=>[2,4,6,5,8,3,7,-1]
[1,7,2,4,3,6,5,8]=>[2,4,6,5,8,7,3,-1]
[1,8,2,4,3,6,5,7]=>[2,4,6,5,8,7,-1,3]
[1,8,2,3,4,6,5,7]=>[2,4,5,6,8,7,-1,3]
[1,6,2,3,4,7,5,8]=>[2,4,5,6,8,3,7,-1]
[1,5,2,3,4,7,6,8]=>[2,4,5,6,3,8,7,-1]
[1,4,2,3,5,7,6,8]=>[2,4,5,3,6,8,7,-1]
[1,2,3,4,5,8,6,7]=>[2,3,4,5,6,8,-1,7]
[1,3,2,4,5,8,6,7]=>[2,4,3,5,6,8,-1,7]
[1,4,2,3,5,8,6,7]=>[2,4,5,3,6,8,-1,7]
[1,6,2,3,4,8,5,7]=>[2,4,5,6,8,3,-1,7]
[1,7,2,3,4,8,5,6]=>[2,4,5,6,8,-1,3,7]
[1,8,2,3,4,7,5,6]=>[2,4,5,6,8,-1,7,3]
[1,8,2,4,3,7,5,6]=>[2,4,6,5,8,-1,7,3]
[1,7,2,4,3,8,5,6]=>[2,4,6,5,8,-1,3,7]
[1,6,2,4,3,8,5,7]=>[2,4,6,5,8,3,-1,7]
[1,5,2,4,3,8,6,7]=>[2,4,6,5,3,8,-1,7]
[1,3,2,5,4,8,6,7]=>[2,4,3,6,5,8,-1,7]
[1,2,3,5,4,8,6,7]=>[2,3,4,6,5,8,-1,7]
[1,3,2,6,4,8,5,7]=>[2,4,3,6,8,5,-1,7]
[1,5,2,6,3,8,4,7]=>[2,4,6,8,3,5,-1,7]
[1,6,2,5,3,8,4,7]=>[2,4,6,8,5,3,-1,7]
[1,7,2,5,3,8,4,6]=>[2,4,6,8,5,-1,3,7]
[1,8,2,5,3,7,4,6]=>[2,4,6,8,5,-1,7,3]
[1,8,2,6,3,7,4,5]=>[2,4,6,8,-1,5,7,3]
[1,7,2,6,3,8,4,5]=>[2,4,6,8,-1,5,3,7]
[1,5,2,7,3,8,4,6]=>[2,4,6,8,3,-1,5,7]
[1,4,2,7,3,8,5,6]=>[2,4,6,3,8,-1,5,7]
[1,3,2,7,4,8,5,6]=>[2,4,3,6,8,-1,5,7]
[1,2,3,7,4,8,5,6]=>[2,3,4,6,8,-1,5,7]
[1,2,3,8,4,7,5,6]=>[2,3,4,6,8,-1,7,5]
[1,3,2,8,4,7,5,6]=>[2,4,3,6,8,-1,7,5]
[1,4,2,8,3,7,5,6]=>[2,4,6,3,8,-1,7,5]
[1,5,2,8,3,7,4,6]=>[2,4,6,8,3,-1,7,5]
[1,6,2,8,3,7,4,5]=>[2,4,6,8,-1,3,7,5]
[1,7,2,8,3,6,4,5]=>[2,4,6,8,-1,7,3,5]
[3,2,5,4,7,6,-1,8]=>[-8,3,2,5,4,7,6,-1]
[4,5,2,3,7,6,-1,8]=>[-8,4,5,2,3,7,6,-1]
[5,4,2,3,7,6,-1,8]=>[-8,4,5,3,2,7,6,-1]
[6,4,2,7,3,5,-1,8]=>[-8,4,6,3,7,2,5,-1]
[7,4,2,6,3,5,-1,8]=>[-8,4,6,3,7,5,2,-1]
[8,4,2,6,3,-1,5,7]=>[-7,4,6,3,8,5,-1,2]
[-1,4,2,6,3,8,5,7]=>[-2,4,6,3,8,5,-1,7]
[-1,5,6,2,3,8,4,7]=>[-2,5,6,8,3,4,-1,7]
[8,5,6,2,3,-1,4,7]=>[-7,5,6,8,3,4,-1,2]
[7,5,6,2,3,4,-1,8]=>[-8,5,6,7,3,4,2,-1]
[6,5,7,2,3,4,-1,8]=>[-8,5,6,7,3,2,4,-1]
[5,6,7,2,3,4,-1,8]=>[-8,5,6,7,2,3,4,-1]
[4,6,2,7,3,5,-1,8]=>[-8,4,6,2,7,3,5,-1]
[3,2,6,7,4,5,-1,8]=>[-8,3,2,6,7,4,5,-1]
[3,2,7,6,4,5,-1,8]=>[-8,3,2,6,7,5,4,-1]
[4,7,2,6,3,5,-1,8]=>[-8,4,6,2,7,5,3,-1]
[5,7,6,2,3,4,-1,8]=>[-8,5,6,7,2,4,3,-1]
[6,7,5,2,3,4,-1,8]=>[-8,5,6,7,4,2,3,-1]
[7,6,5,2,3,4,-1,8]=>[-8,5,6,7,4,3,2,-1]
[8,6,5,2,3,-1,4,7]=>[-7,5,6,8,4,3,-1,2]
[-1,6,5,2,3,8,4,7]=>[-2,5,6,8,4,3,-1,7]
[-1,7,5,2,8,3,4,6]=>[-2,5,7,8,4,-1,3,6]
[8,7,5,2,-1,3,4,6]=>[-6,5,7,8,4,-1,3,2]
[7,8,5,2,-1,3,4,6]=>[-6,5,7,8,4,-1,2,3]
[6,8,5,2,3,-1,4,7]=>[-7,5,6,8,4,2,-1,3]
[5,8,6,2,3,-1,4,7]=>[-7,5,6,8,2,4,-1,3]
[4,8,2,6,3,-1,5,7]=>[-7,4,6,2,8,5,-1,3]
[3,2,8,6,4,-1,5,7]=>[-7,3,2,6,8,5,-1,4]
[3,2,-1,6,4,8,5,7]=>[-4,3,2,6,8,5,-1,7]
[4,-1,2,6,3,8,5,7]=>[-3,4,6,2,8,5,-1,7]
[5,-1,6,2,3,8,4,7]=>[-3,5,6,8,2,4,-1,7]
[6,-1,5,2,3,8,4,7]=>[-3,5,6,8,4,2,-1,7]
[7,-1,5,2,8,3,4,6]=>[-3,5,7,8,4,-1,2,6]
[8,-1,5,2,7,3,4,6]=>[-3,5,7,8,4,-1,6,2]
[-1,8,5,2,7,3,4,6]=>[-2,5,7,8,4,-1,6,3]
[-1,8,6,7,2,3,4,5]=>[-2,6,7,8,-1,4,5,3]
[8,-1,6,7,2,3,4,5]=>[-3,6,7,8,-1,4,5,2]
[7,-1,6,8,2,3,4,5]=>[-3,6,7,8,-1,4,2,5]
[6,-1,7,8,2,3,4,5]=>[-3,6,7,8,-1,2,4,5]
[5,-1,7,2,8,3,4,6]=>[-3,5,7,8,2,-1,4,6]
[4,-1,2,7,8,3,5,6]=>[-3,4,7,2,8,-1,5,6]
[3,2,-1,7,8,4,5,6]=>[-4,3,2,7,8,-1,5,6]
[3,2,8,7,-1,4,5,6]=>[-6,3,2,7,8,-1,5,4]
[4,8,2,7,-1,3,5,6]=>[-6,4,7,2,8,-1,5,3]
[5,8,7,2,-1,3,4,6]=>[-6,5,7,8,2,-1,4,3]
[6,8,7,-1,2,3,4,5]=>[-5,6,7,8,-1,2,4,3]
[7,8,6,-1,2,3,4,5]=>[-5,6,7,8,-1,4,2,3]
[8,7,6,-1,2,3,4,5]=>[-5,6,7,8,-1,4,3,2]
[-1,7,6,8,2,3,4,5]=>[-2,6,7,8,-1,4,3,5]
[-1,6,7,8,2,3,4,5]=>[-2,6,7,8,-1,3,4,5]
[8,6,7,-1,2,3,4,5]=>[-5,6,7,8,-1,3,4,2]
[7,6,8,-1,2,3,4,5]=>[-5,6,7,8,-1,3,2,4]
[6,7,8,-1,2,3,4,5]=>[-5,6,7,8,-1,2,3,4]
[5,7,8,2,-1,3,4,6]=>[-6,5,7,8,2,-1,3,4]
[4,7,2,8,-1,3,5,6]=>[-6,4,7,2,8,-1,3,5]
[3,2,7,8,-1,4,5,6]=>[-6,3,2,7,8,-1,4,5]
[3,2,6,8,4,-1,5,7]=>[-7,3,2,6,8,4,-1,5]
[4,6,2,8,3,-1,5,7]=>[-7,4,6,2,8,3,-1,5]
[5,6,8,2,3,-1,4,7]=>[-7,5,6,8,2,3,-1,4]
[6,5,8,2,3,-1,4,7]=>[-7,5,6,8,3,2,-1,4]
[7,5,8,2,-1,3,4,6]=>[-6,5,7,8,3,-1,2,4]
[8,5,7,2,-1,3,4,6]=>[-6,5,7,8,3,-1,4,2]
[-1,5,7,2,8,3,4,6]=>[-2,5,7,8,3,-1,4,6]
[-1,4,2,7,8,3,5,6]=>[-2,4,7,3,8,-1,5,6]
[8,4,2,7,-1,3,5,6]=>[-6,4,7,3,8,-1,5,2]
[7,4,2,8,-1,3,5,6]=>[-6,4,7,3,8,-1,2,5]
[6,4,2,8,3,-1,5,7]=>[-7,4,6,3,8,2,-1,5]
[5,4,2,3,8,-1,6,7]=>[-7,4,5,3,2,8,-1,6]
[4,5,2,3,8,-1,6,7]=>[-7,4,5,2,3,8,-1,6]
[3,2,5,4,8,-1,6,7]=>[-7,3,2,5,4,8,-1,6]
[3,2,5,4,-1,8,6,7]=>[-6,3,2,5,4,8,-1,7]
[4,5,2,3,-1,8,6,7]=>[-6,4,5,2,3,8,-1,7]
[5,4,2,3,-1,8,6,7]=>[-6,4,5,3,2,8,-1,7]
[6,4,2,-1,3,8,5,7]=>[-5,4,6,3,8,2,-1,7]
[7,4,2,-1,8,3,5,6]=>[-5,4,7,3,8,-1,2,6]
[8,4,2,-1,7,3,5,6]=>[-5,4,7,3,8,-1,6,2]
[-1,4,2,8,7,3,5,6]=>[-2,4,7,3,8,-1,6,5]
[-1,5,8,2,7,3,4,6]=>[-2,5,7,8,3,-1,6,4]
[8,5,-1,2,7,3,4,6]=>[-4,5,7,8,3,-1,6,2]
[7,5,-1,2,8,3,4,6]=>[-4,5,7,8,3,-1,2,6]
[6,5,-1,2,3,8,4,7]=>[-4,5,6,8,3,2,-1,7]
[5,6,-1,2,3,8,4,7]=>[-4,5,6,8,2,3,-1,7]
[4,6,2,-1,3,8,5,7]=>[-5,4,6,2,8,3,-1,7]
[3,2,6,-1,4,8,5,7]=>[-5,3,2,6,8,4,-1,7]
[3,2,7,-1,8,4,5,6]=>[-5,3,2,7,8,-1,4,6]
[4,7,2,-1,8,3,5,6]=>[-5,4,7,2,8,-1,3,6]
[5,7,-1,2,8,3,4,6]=>[-4,5,7,8,2,-1,3,6]
[6,7,-1,8,2,3,4,5]=>[-4,6,7,8,-1,2,3,5]
[7,6,-1,8,2,3,4,5]=>[-4,6,7,8,-1,3,2,5]
[8,6,-1,7,2,3,4,5]=>[-4,6,7,8,-1,3,5,2]
[-1,6,8,7,2,3,4,5]=>[-2,6,7,8,-1,3,5,4]
[-1,7,8,6,2,3,4,5]=>[-2,6,7,8,-1,5,3,4]
[8,7,-1,6,2,3,4,5]=>[-4,6,7,8,-1,5,3,2]
[7,8,-1,6,2,3,4,5]=>[-4,6,7,8,-1,5,2,3]
[6,8,-1,7,2,3,4,5]=>[-4,6,7,8,-1,2,5,3]
[5,8,-1,2,7,3,4,6]=>[-4,5,7,8,2,-1,6,3]
[4,8,2,-1,7,3,5,6]=>[-5,4,7,2,8,-1,6,3]
[3,2,8,-1,7,4,5,6]=>[-5,3,2,7,8,-1,6,4]
[3,2,-1,8,7,4,5,6]=>[-4,3,2,7,8,-1,6,5]
[4,-1,2,8,7,3,5,6]=>[-3,4,7,2,8,-1,6,5]
[5,-1,8,2,7,3,4,6]=>[-3,5,7,8,2,-1,6,4]
[6,-1,8,7,2,3,4,5]=>[-3,6,7,8,-1,2,5,4]
[7,-1,8,6,2,3,4,5]=>[-3,6,7,8,-1,5,2,4]
[8,-1,7,6,2,3,4,5]=>[-3,6,7,8,-1,5,4,2]
[-1,8,7,6,2,3,4,5]=>[-2,6,7,8,-1,5,4,3]
[1,5,4,3,6,7,8,2]=>[2,-1,5,4,3,6,7,8]
[8,7,3,5,4,6,2,1]=>[-1,8,4,6,5,7,3,2]
[8,7,5,4,3,6,2,1]=>[-1,8,6,5,4,7,3,2]
[7,8,3,5,4,6,1,2]=>[8,-1,4,6,5,7,2,3]
[8,6,3,7,5,2,4,1]=>[-1,7,4,8,6,3,5,2]
[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,7,-1,8]
[2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,-1]
[7,1,2,3,4,5,8,6]=>[3,4,5,6,7,-1,2,8]
[1,7,2,3,4,5,8,6]=>[2,4,5,6,7,-1,3,8]
[2,7,1,3,4,5,6,8]=>[4,2,5,6,7,8,3,-1]
[1,2,7,3,4,5,8,6]=>[2,3,5,6,7,-1,4,8]
[6,7,1,2,3,4,8,5]=>[4,5,6,7,-1,2,3,8]
[5,1,2,3,4,6,8,7]=>[3,4,5,6,2,7,-1,8]
[2,1,3,8,4,5,6,7]=>[3,2,4,6,7,8,-1,5]
[2,7,8,1,3,4,5,6]=>[5,2,6,7,8,-1,3,4]
[2,6,1,3,4,5,7,8]=>[4,2,5,6,7,3,8,-1]
[1,2,3,4,6,7,8,5]=>[2,3,4,5,-1,6,7,8]
[1,2,4,5,6,7,8,3]=>[2,3,-1,4,5,6,7,8]
[1,2,3,6,4,7,8,5]=>[2,3,4,6,-1,5,7,8]
[1,2,5,3,6,7,8,4]=>[2,3,5,-1,4,6,7,8]
[1,4,2,5,6,7,8,3]=>[2,4,-1,3,5,6,7,8]
[1,2,3,4,7,8,5,6]=>[2,3,4,5,8,-1,6,7]
[1,2,3,6,7,4,8,5]=>[2,3,4,7,-1,5,6,8]
[1,2,5,6,3,7,8,4]=>[2,3,6,-1,4,5,7,8]
[1,2,3,7,4,5,8,6]=>[2,3,4,6,7,-1,5,8]
[1,4,5,2,6,7,8,3]=>[2,5,-1,3,4,6,7,8]
[1,2,6,3,4,7,8,5]=>[2,3,5,6,-1,4,7,8]
[3,4,1,5,6,7,8,2]=>[4,-1,2,3,5,6,7,8]
[1,5,2,3,6,7,8,4]=>[2,4,5,-1,3,6,7,8]
[4,1,2,5,6,7,8,3]=>[3,4,-1,2,5,6,7,8]
[7,1,2,3,4,5,6,8]=>[3,4,5,6,7,8,2,-1]
[5,1,2,3,4,6,7,8]=>[3,4,5,6,2,7,8,-1]
[4,2,6,1,7,3,5,8]=>[5,3,7,2,8,4,6,-1]
[2,4,6,1,3,5,8,7]=>[5,2,6,3,7,4,-1,8]
[2,4,1,6,3,5,8,7]=>[4,2,6,3,7,5,-1,8]
[2,4,6,1,8,3,5,7]=>[5,2,7,3,8,4,-1,6]
[2,4,1,6,8,3,5,7]=>[4,2,7,3,8,5,-1,6]
[2,4,1,6,3,8,5,7]=>[4,2,6,3,8,5,-1,7]
[7,8,4,5,6,1,2,3]=>[7,8,-1,4,5,6,2,3]
[8,6,7,4,5,1,2,3]=>[7,8,-1,5,6,3,4,2]
[8,7,6,4,5,1,2,3]=>[7,8,-1,5,6,4,3,2]
[8,7,5,6,3,4,1,2]=>[8,-1,6,7,4,5,3,2]
[4,3,8,1,7,2,5,6]=>[5,7,3,2,8,-1,6,4]
[5,1,6,3,4,2,8,7]=>[3,7,5,6,2,4,-1,8]
[1,2,3,4,5,8,7,6]=>[2,3,4,5,6,-1,8,7]
[1,2,3,6,5,7,8,4]=>[2,3,4,-1,6,5,7,8]
[1,2,5,4,6,7,8,3]=>[2,3,-1,5,4,6,7,8]
[1,4,3,5,6,7,8,2]=>[2,-1,4,3,5,6,7,8]
[3,2,4,5,6,7,8,1]=>[-1,3,2,4,5,6,7,8]
[1,2,3,4,7,8,6,5]=>[2,3,4,5,-1,8,6,7]
[1,2,3,6,7,5,8,4]=>[2,3,4,-1,7,5,6,8]
[1,2,5,6,4,7,8,3]=>[2,3,-1,6,4,5,7,8]
[1,2,3,7,6,5,8,4]=>[2,3,4,-1,7,6,5,8]
[1,4,5,3,6,7,8,2]=>[2,-1,5,3,4,6,7,8]
[1,2,6,5,4,7,8,3]=>[2,3,-1,6,5,4,7,8]
[3,4,2,5,6,7,8,1]=>[-1,4,2,3,5,6,7,8]
[4,3,2,5,6,7,8,1]=>[-1,4,3,2,5,6,7,8]
[2,8,-6,-4,-3,1,5,7]=>[7,2,-6,-5,8,-4,-1,3]
[-3,2,8,-6,-5,1,4,7]=>[7,3,-2,8,-6,-5,-1,4]
[-8,2,4,-6,-5,-3,1,7]=>[8,3,-7,4,-6,-5,-1,-2]
[-8,-7,2,4,-5,-3,1,6]=>[8,4,-7,5,-6,-1,-3,-2]
[8,2,4,6,-7,-5,-3,1]=>[-1,3,-8,4,-7,5,-6,2]
[6,8,2,3,-7,-5,-4,1]=>[-1,4,5,-8,-7,2,-6,3]
[5,-7,2,3,8,-4,1,6]=>[8,4,5,-7,2,-1,-3,6]
[-8,-6,2,3,-5,-4,1,7]=>[8,4,5,-7,-6,-3,-1,-2]
[2,-6,8,-5,-4,1,3,7]=>[7,2,8,-6,-5,-3,-1,4]
[4,8,-6,-5,-2,1,3,7]=>[7,-6,8,2,-5,-4,-1,3]
[8,4,-6,-5,-3,1,2,7]=>[7,8,-6,3,-5,-4,-1,2]
[3,-6,8,-5,-4,1,2,7]=>[7,8,2,-6,-5,-3,-1,4]
[3,-5,6,8,-4,1,2,7]=>[7,8,2,-6,-3,4,-1,5]
[-8,-6,-3,2,-5,-4,1,7]=>[8,5,-4,-7,-6,-3,-1,-2]
[5,-7,-3,2,8,-4,1,6]=>[8,5,-4,-7,2,-1,-3,6]
[3,8,-6,2,-7,-5,-4,1]=>[-1,5,2,-8,-7,-4,-6,3]
[5,8,-7,-3,2,-6,-4,1]=>[-1,6,-5,-8,2,-7,-4,3]
[3,8,-7,-4,2,-6,1,5]=>[8,6,2,-5,-1,-7,-4,3]
[4,8,-7,-6,3,1,2,5]=>[7,8,6,2,-1,-5,-4,3]
[5,-7,-4,3,8,1,2,6]=>[7,8,5,-4,2,-1,-3,6]
[5,-8,-7,3,-4,1,2,6]=>[7,8,5,-6,2,-1,-4,-3]
[4,-7,8,-5,-3,1,2,6]=>[7,8,-6,2,-5,-1,-3,4]
[-5,4,8,-7,-2,1,3,6]=>[7,-6,8,3,-2,-1,-5,4]
[-8,4,6,-7,-5,-2,1,3]=>[8,-7,-1,3,-6,4,-5,-2]
[4,-8,6,-7,-5,-3,1,2]=>[8,-1,-7,2,-6,4,-5,-3]
[-8,6,3,-7,-5,-4,1,2]=>[8,-1,4,-7,-6,3,-5,-2]
[3,8,-7,6,-5,-4,1,2]=>[8,-1,2,-7,-6,5,-4,3]
[3,8,-7,-6,5,-4,1,2]=>[8,-1,2,-7,6,-5,-4,3]
[4,8,-7,-6,3,5,1,2]=>[8,-1,6,2,7,-5,-4,3]
[3,8,-7,-6,2,5,-4,1]=>[-1,6,2,-8,7,-5,-4,3]
[4,7,8,-6,-3,2,-5,1]=>[-1,7,-6,2,-8,-5,3,4]
[3,6,7,8,4,-5,1,2]=>[8,-1,2,6,-7,3,4,5]
[3,7,8,-6,4,-5,1,2]=>[8,-1,2,6,-7,-5,3,4]
[-5,8,-7,3,-6,-4,1,2]=>[8,-1,5,-7,-2,-6,-4,3]
[7,8,4,5,-6,-3,1,2]=>[8,-1,-7,4,5,-6,2,3]
[-8,-7,4,5,-6,-2,1,3]=>[8,-7,-1,4,5,-6,-3,-2]
[-8,-7,2,4,-6,1,3,5]=>[7,4,8,5,-1,-6,-3,-2]
[-8,-7,-4,-3,-6,1,2,5]=>[7,8,-5,-4,-1,-6,-3,-2]
[-4,3,-7,8,-6,1,2,5]=>[7,8,3,-2,-1,-6,-4,5]
[6,7,8,1,3,-5,2,4]=>[5,8,6,-1,-7,2,3,4]
[-3,7,8,-6,2,-5,1,4]=>[8,6,-2,-1,-7,-5,3,4]
[3,7,8,-6,2,4,-5,1]=>[-1,6,2,7,-8,-5,3,4]
[6,7,8,2,3,4,-5,1]=>[-1,5,6,7,-8,2,3,4]
[2,7,8,-6,3,-5,1,4]=>[8,2,6,-1,-7,-5,3,4]
[6,7,8,-5,2,1,3,4]=>[7,6,8,-1,-5,2,3,4]
[5,-8,-7,2,-4,1,3,6]=>[7,5,8,-6,2,-1,-4,-3]
[-4,2,-7,8,-6,1,3,5]=>[7,3,8,-2,-1,-6,-4,5]
[7,8,-4,2,3,-6,1,5]=>[8,5,6,-4,-1,-7,2,3]
[5,8,-7,2,3,-6,-4,1]=>[-1,5,6,-8,2,-7,-4,3]
[8,-7,2,4,5,-6,-3,1]=>[-1,4,-8,5,6,-7,-3,2]
[-8,-7,-3,2,4,-6,1,5]=>[8,5,-4,6,-1,-7,-3,-2]
[3,-8,-7,2,-6,1,4,5]=>[7,5,2,8,-1,-6,-4,-3]
[-7,-3,2,8,-5,1,4,6]=>[7,4,-3,8,-6,-1,-2,5]
[2,4,7,8,-3,1,5,6]=>[7,2,-6,3,8,-1,4,5]
[6,8,-7,-4,-2,1,3,5]=>[7,-6,8,-5,-1,2,-4,3]
[8,6,-7,-4,-3,1,2,5]=>[7,8,-6,-5,-1,3,-4,2]
[-8,2,6,-7,-4,-3,1,5]=>[8,3,-7,-6,-1,4,-5,-2]
[-8,-3,2,6,-7,-5,1,4]=>[8,4,-3,-1,-7,5,-6,-2]
[-8,-7,-3,2,5,-6,1,4]=>[8,5,-4,-1,6,-7,-3,-2]
[-8,-7,-5,-3,2,-6,1,4]=>[8,6,-5,-1,-4,-7,-3,-2]
[5,-8,-7,2,4,-6,-3,1]=>[-1,5,-8,6,2,-7,-4,-3]
[7,8,-6,2,3,5,-4,1]=>[-1,5,6,-8,7,-4,2,3]
[6,7,8,2,5,-4,1,3]=>[8,5,-1,-7,6,2,3,4]
[-5,8,-7,2,-6,-4,1,3]=>[8,5,-1,-7,-2,-6,-4,3]
[-8,6,2,-7,-5,-4,1,3]=>[8,4,-1,-7,-6,3,-5,-2]
[-6,-8,1,-7,-5,-4,2,3]=>[4,8,-1,-7,-6,-2,-5,-3]
[-8,-6,-3,-7,-5,1,2,4]=>[7,8,-4,-1,-6,-3,-5,-2]
[-8,2,6,-7,-5,1,3,4]=>[7,3,8,-1,-6,4,-5,-2]
[-8,-7,2,5,-6,1,3,4]=>[7,4,8,-1,5,-6,-3,-2]
[-8,-7,-5,-3,-6,1,2,4]=>[7,8,-5,-1,-4,-6,-3,-2]
[6,7,8,5,-4,1,2,3]=>[7,8,-1,-6,5,2,3,4]
[6,7,8,1,4,-5,2,3]=>[5,8,-1,6,-7,2,3,4]
[2,7,8,-6,4,-5,1,3]=>[8,2,-1,6,-7,-5,3,4]
[-4,7,8,-6,2,-5,1,3]=>[8,6,-1,-2,-7,-5,3,4]
[4,7,8,-6,2,3,-5,1]=>[-1,6,7,2,-8,-5,3,4]
[4,6,7,8,2,3,-5,1]=>[-1,6,7,2,-8,3,4,5]
[-6,4,7,8,2,-5,1,3]=>[8,6,-1,3,-7,-2,4,5]
[-4,7,8,-6,1,-5,2,3]=>[6,8,-1,-2,-7,-5,3,4]
[7,8,-6,-4,5,1,2,3]=>[7,8,-1,-5,6,-4,2,3]
[8,-7,-6,3,5,1,2,4]=>[7,8,5,-1,6,-4,-3,2]
[-8,-7,-5,2,-6,1,3,4]=>[7,5,8,-1,-4,-6,-3,-2]
[-8,-7,-5,4,-6,-2,1,3]=>[8,-7,-1,5,-4,-6,-3,-2]
[5,8,-7,4,-6,-3,1,2]=>[8,-1,-7,5,2,-6,-4,3]
[6,7,8,3,5,-4,1,2]=>[8,-1,5,-7,6,2,3,4]
[-4,7,8,-6,3,-5,1,2]=>[8,-1,6,-2,-7,-5,3,4]
[-6,4,7,8,3,-5,1,2]=>[8,-1,6,3,-7,-2,4,5]
[4,6,7,8,-5,3,1,2]=>[8,-1,7,2,-6,3,4,5]
[3,6,7,8,-4,2,-5,1]=>[-1,7,2,-6,-8,3,4,5]
[8,1,2,3,4,7,5,6]=>[3,4,5,6,8,-1,7,2]
[8,1,2,3,7,4,5,6]=>[3,4,5,7,8,-1,6,2]
[8,1,7,2,3,4,5,6]=>[3,5,6,7,8,-1,4,2]
[6,1,2,3,4,7,8,5]=>[3,4,5,6,-1,2,7,8]
[5,1,2,3,8,7,4,6]=>[3,4,5,8,2,-1,7,6]
[8,1,2,3,6,7,4,5]=>[3,4,5,8,-1,6,7,2]
[8,1,2,5,7,3,4,6]=>[3,4,7,8,5,-1,6,2]
[7,1,4,8,2,3,5,6]=>[3,6,7,4,8,-1,2,5]
[4,1,2,5,8,7,3,6]=>[3,4,8,2,5,-1,7,6]
[3,1,4,8,7,2,5,6]=>[3,7,2,4,8,-1,6,5]
[7,1,8,5,2,3,4,6]=>[3,6,7,8,5,-1,2,4]
[7,1,2,5,6,3,8,4]=>[3,4,7,-1,5,6,2,8]
[8,1,4,5,2,7,3,6]=>[3,6,8,4,5,-1,7,2]
[8,1,2,5,6,7,3,4]=>[3,4,8,-1,5,6,7,2]
[8,1,4,5,7,2,3,6]=>[3,7,8,4,5,-1,6,2]
[3,4,1,2,5,6,7,8]=>[4,5,2,3,6,7,8,-1]
[3,2,1,4,5,6,7,8]=>[4,3,2,5,6,7,8,-1]
[4,5,6,1,2,3,7,8]=>[5,6,7,2,3,4,8,-1]
[4,2,5,1,3,6,7,8]=>[5,3,6,2,4,7,8,-1]
[5,6,3,4,1,2,7,8]=>[6,7,4,5,2,3,8,-1]
[5,4,3,2,1,6,7,8]=>[6,5,4,3,2,7,8,-1]
[6,7,3,4,8,1,2,5]=>[7,8,4,5,-1,2,3,6]
[6,4,3,2,7,1,5,8]=>[7,5,4,3,8,2,6,-1]
[6,5,4,3,2,1,7,8]=>[7,6,5,4,3,2,8,-1]
[3,2,6,1,5,4,8,7]=>[5,3,2,7,6,4,-1,8]
[5,2,4,3,7,6,8,1]=>[-1,3,5,4,2,7,6,8]
[5,2,4,3,8,1,7,6]=>[7,3,5,4,2,-1,8,6]
[5,2,4,3,6,1,8,7]=>[7,3,5,4,2,6,-1,8]
[6,2,4,1,5,3,8,7]=>[5,3,7,4,6,2,-1,8]
[6,1,5,2,4,3,8,7]=>[3,5,7,6,4,2,-1,8]
[4,3,6,1,5,2,8,7]=>[5,7,3,2,6,4,-1,8]
[4,3,5,2,8,1,7,6]=>[7,5,3,2,4,-1,8,6]
[4,3,7,2,6,5,8,1]=>[-1,5,3,2,7,6,4,8]
[4,3,8,2,6,1,7,5]=>[7,5,3,2,-1,6,8,4]
[4,3,8,1,7,2,6,5]=>[5,7,3,2,-1,8,6,4]
[4,3,8,1,5,2,7,6]=>[5,7,3,2,6,-1,8,4]
[5,1,8,3,4,2,7,6]=>[3,7,5,6,2,-1,8,4]
[5,4,8,1,3,2,7,6]=>[5,7,6,3,2,-1,8,4]
[2,1,5,4,8,3,7,6]=>[3,2,7,5,4,-1,8,6]
[5,1,7,6,8,3,4,2]=>[3,-1,7,8,2,5,4,6]
[4,3,7,6,8,1,5,2]=>[7,-1,3,2,8,5,4,6]
[4,3,7,1,8,5,6,2]=>[5,-1,3,2,7,8,4,6]
[4,3,6,5,8,1,7,2]=>[7,-1,3,2,5,4,8,6]
[6,3,5,4,7,2,8,1]=>[-1,7,3,5,4,2,6,8]
[6,3,5,4,8,1,7,2]=>[7,-1,3,5,4,2,8,6]
[7,1,6,3,8,4,5,2]=>[3,-1,5,7,8,4,2,6]
[7,1,6,5,8,3,4,2]=>[3,-1,7,8,5,4,2,6]
[7,4,6,5,8,1,3,2]=>[7,-1,8,3,5,4,2,6]
[2,1,7,4,6,5,8,3]=>[3,2,-1,5,7,6,4,8]
[2,1,8,4,6,3,7,5]=>[3,2,7,5,-1,6,8,4]
[8,4,6,1,3,2,7,5]=>[5,7,6,3,-1,4,8,2]
[8,1,6,3,4,2,7,5]=>[3,7,5,6,-1,4,8,2]
[8,1,6,3,7,2,5,4]=>[3,7,5,-1,8,4,6,2]
[8,3,5,1,7,2,6,4]=>[5,7,3,-1,4,8,6,2]
[8,3,5,2,6,1,7,4]=>[7,5,3,-1,4,6,8,2]
[7,3,5,2,6,4,8,1]=>[-1,5,3,7,4,6,2,8]
[8,2,6,3,5,1,7,4]=>[7,3,5,-1,6,4,8,2]
[8,2,7,1,5,3,6,4]=>[5,3,7,-1,6,8,4,2]
[8,1,7,2,6,3,5,4]=>[3,5,7,-1,8,6,4,2]
[8,1,7,2,4,3,6,5]=>[3,5,7,6,-1,8,4,2]
[8,1,3,2,7,4,6,5]=>[3,5,4,7,-1,8,6,2]
[2,1,8,3,7,4,6,5]=>[3,2,5,7,-1,8,6,4]
[8,1,5,2,4,3,7,6]=>[3,5,7,6,4,-1,8,2]
[8,2,4,1,5,3,7,6]=>[5,3,7,4,6,-1,8,2]
[8,2,4,1,7,3,6,5]=>[5,3,7,4,-1,8,6,2]
[8,2,4,3,6,1,7,5]=>[7,3,5,4,-1,6,8,2]
[7,2,4,3,6,5,8,1]=>[-1,3,5,4,7,6,2,8]
[3,2,7,4,6,5,8,1]=>[-1,3,2,5,7,6,4,8]
[3,2,8,4,6,1,7,5]=>[7,3,2,5,-1,6,8,4]
[3,2,8,1,7,4,6,5]=>[5,3,2,7,-1,8,6,4]
[3,2,8,1,5,4,7,6]=>[5,3,2,7,6,-1,8,4]
[3,2,4,1,8,5,7,6]=>[5,3,2,4,7,-1,8,6]
[3,2,7,6,8,1,5,4]=>[7,3,2,-1,8,5,4,6]
[3,2,7,1,8,5,6,4]=>[5,3,2,-1,7,8,4,6]
[3,2,6,5,8,1,7,4]=>[7,3,2,-1,5,4,8,6]
[6,5,7,2,4,3,8,1]=>[-1,5,7,6,3,2,4,8]
[6,5,8,2,4,1,7,3]=>[7,5,-1,6,3,2,8,4]
[7,2,4,1,8,5,6,3]=>[5,3,-1,4,7,8,2,6]
[7,6,8,2,4,1,5,3]=>[7,5,-1,6,8,3,2,4]
[7,6,8,1,5,2,4,3]=>[5,7,-1,8,6,3,2,4]
[7,6,8,1,3,2,5,4]=>[5,7,6,-1,8,3,2,4]
[2,1,7,3,8,5,6,4]=>[3,2,5,-1,7,8,4,6]
[7,1,3,2,8,5,6,4]=>[3,5,4,-1,7,8,2,6]
[7,1,8,5,6,2,4,3]=>[3,7,-1,8,5,6,2,4]
[7,1,8,2,6,4,5,3]=>[3,5,-1,7,8,6,2,4]
[7,2,8,1,5,4,6,3]=>[5,3,-1,7,6,8,2,4]
[6,2,7,4,5,3,8,1]=>[-1,3,7,5,6,2,4,8]
[5,4,7,2,6,3,8,1]=>[-1,5,7,3,2,6,4,8]
[5,4,8,2,6,1,7,3]=>[7,5,-1,3,2,6,8,4]
[6,5,8,1,7,2,4,3]=>[5,7,-1,8,3,2,6,4]
[2,1,6,5,8,3,7,4]=>[3,2,7,-1,5,4,8,6]
[6,5,7,4,8,1,3,2]=>[7,-1,8,5,3,2,4,6]
[6,5,7,1,8,3,4,2]=>[5,-1,7,8,3,2,4,6]
[6,1,7,4,8,3,5,2]=>[3,-1,7,5,8,2,4,6]
[5,4,7,1,8,3,6,2]=>[5,-1,7,3,2,8,4,6]
[5,4,6,3,8,1,7,2]=>[7,-1,5,3,2,4,8,6]
[3,8,2,7,1,6,5,4]=>[6,4,2,-1,8,7,5,3]
[3,8,2,7,6,1,5,4]=>[7,4,2,-1,8,6,5,3]
[3,8,2,7,6,5,1,4]=>[8,4,2,-1,7,6,5,3]
[3,8,2,7,6,5,4,1]=>[-1,4,2,8,7,6,5,3]
[4,8,7,2,6,5,3,1]=>[-1,5,8,2,7,6,4,3]
[4,8,7,2,6,5,1,3]=>[8,5,-1,2,7,6,4,3]
[4,8,7,2,6,1,5,3]=>[7,5,-1,2,8,6,4,3]
[4,8,7,2,1,6,5,3]=>[6,5,-1,2,8,7,4,3]
[4,8,7,3,1,6,5,2]=>[6,-1,5,2,8,7,4,3]
[4,8,7,3,2,1,6,5]=>[7,6,5,2,-1,8,4,3]
[4,8,7,3,2,6,1,5]=>[8,6,5,2,-1,7,4,3]
[4,8,7,3,2,6,5,1]=>[-1,6,5,2,8,7,4,3]
[4,8,7,3,6,2,5,1]=>[-1,7,5,2,8,6,4,3]
[4,8,7,3,6,2,1,5]=>[8,7,5,2,-1,6,4,3]
[4,8,7,3,6,1,5,2]=>[7,-1,5,2,8,6,4,3]
[4,8,7,3,6,5,1,2]=>[8,-1,5,2,7,6,4,3]
[4,8,7,3,6,5,2,1]=>[-1,8,5,2,7,6,4,3]
[5,8,7,6,3,4,2,1]=>[-1,8,6,7,2,5,4,3]
[5,8,7,6,3,1,4,2]=>[7,-1,6,8,2,5,4,3]
[5,8,7,6,3,2,4,1]=>[-1,7,6,8,2,5,4,3]
[5,8,7,6,2,4,3,1]=>[-1,6,8,7,2,5,4,3]
[5,8,7,6,2,4,1,3]=>[8,6,-1,7,2,5,4,3]
[5,8,7,6,2,1,4,3]=>[7,6,-1,8,2,5,4,3]
[5,8,7,6,4,2,3,1]=>[-1,7,8,6,2,5,4,3]
[5,8,7,6,4,2,1,3]=>[8,7,-1,6,2,5,4,3]
[5,8,7,6,4,1,3,2]=>[7,-1,8,6,2,5,4,3]
[5,8,7,6,4,3,1,2]=>[8,-1,7,6,2,5,4,3]
[5,8,7,6,4,3,2,1]=>[-1,8,7,6,2,5,4,3]
[7,6,4,5,3,2,1,8]=>[8,7,6,4,5,3,2,-1]
[1,8,7,5,6,4,3,2]=>[2,-1,8,7,5,6,4,3]
[7,6,4,3,5,2,1,8]=>[8,7,5,4,6,3,2,-1]
[7,6,3,5,4,2,1,8]=>[8,7,4,6,5,3,2,-1]
[1,8,7,5,4,6,3,2]=>[2,-1,8,6,5,7,4,3]
[1,8,7,4,6,5,3,2]=>[2,-1,8,5,7,6,4,3]
[7,5,4,3,6,2,1,8]=>[8,7,5,4,3,6,2,-1]
[7,6,3,4,5,2,1,8]=>[8,7,4,5,6,3,2,-1]
[1,8,6,5,4,7,3,2]=>[2,-1,8,6,5,4,7,3]
[1,8,7,4,5,6,3,2]=>[2,-1,8,5,6,7,4,3]
[1,8,4,7,6,5,3,2]=>[2,-1,8,4,7,6,5,3]
[8,3,5,7,2,4,1,6]=>[8,6,3,7,4,-1,5,2]
[2,3,4,1,7,8,5,6]=>[5,2,3,4,8,-1,6,7]
[2,3,4,1,5,8,6,7]=>[5,2,3,4,6,8,-1,7]
[8,1,4,7,3,6,2,5]=>[3,8,6,4,-1,7,5,2]
[6,3,7,5,2,8,1,4]=>[8,6,3,-1,5,2,4,7]
[6,5,2,7,4,8,1,3]=>[8,4,-1,6,3,2,5,7]
[5,7,1,4,8,3,2,6]=>[4,8,7,5,2,-1,3,6]
[7,8,3,5,1,4,6,2]=>[6,-1,4,7,5,8,2,3]
[5,8,1,4,6,7,2,3]=>[4,8,-1,5,2,6,7,3]
[6,5,8,4,3,7,2,1]=>[-1,8,6,5,3,2,7,4]
[6,3,7,4,2,8,5,1]=>[-1,6,3,5,8,2,4,7]
[8,7,1,6,2,4,5,3]=>[4,6,-1,7,8,5,3,2]
[3,8,6,7,1,4,5,2]=>[6,-1,2,7,8,4,5,3]
[5,3,8,7,4,1,2,6]=>[7,8,3,6,2,-1,5,4]
[4,3,8,7,1,5,6,2]=>[6,-1,3,2,7,8,5,4]
[8,3,6,1,2,5,7,4]=>[5,6,3,-1,7,4,8,2]
[5,6,1,8,7,3,2,4]=>[4,8,7,-1,2,3,6,5]
[6,3,5,2,1,4,8,7]=>[6,5,3,7,4,2,-1,8]
[4,3,5,6,2,1,8,7]=>[7,6,3,2,4,5,-1,8]
[6,3,5,7,2,8,4,1]=>[-1,6,3,8,4,2,5,7]
[8,5,2,7,4,3,1,6]=>[8,4,7,6,3,-1,5,2]
[4,5,3,6,1,2,8,7]=>[6,7,4,2,3,5,-1,8]
[3,5,1,4,6,2,8,7]=>[4,7,2,5,3,6,-1,8]
[8,3,4,5,7,2,1,6]=>[8,7,3,4,5,-1,6,2]
[6,3,4,5,7,8,2,1]=>[-1,8,3,4,5,2,6,7]
[5,7,4,6,3,8,2,1]=>[-1,8,6,4,2,5,3,7]
[2,8,4,6,3,7,1,5]=>[8,2,6,4,-1,5,7,3]
[8,3,4,7,5,1,2,6]=>[7,8,3,4,6,-1,5,2]
[8,5,1,4,7,3,2,6]=>[4,8,7,5,3,-1,6,2]
[2,1,8,5,7,4,3,6]=>[3,2,8,7,5,-1,6,4]
[2,1,6,5,7,8,4,3]=>[3,2,-1,8,5,4,6,7]
[6,5,3,7,1,8,4,2]=>[6,-1,4,8,3,2,5,7]
[6,5,1,4,7,8,3,2]=>[4,-1,8,5,3,2,6,7]
[6,3,4,7,5,8,1,2]=>[8,-1,3,4,6,2,5,7]
[5,7,4,8,3,6,1,2]=>[8,-1,6,4,2,7,3,5]
[5,1,4,6,8,3,7,2]=>[3,-1,7,4,2,5,8,6]
[2,5,4,6,7,3,8,1]=>[-1,2,7,4,3,5,6,8]
[4,7,1,3,5,8,6,2]=>[4,-1,5,2,6,8,3,7]
[3,8,6,4,1,7,2,5]=>[6,8,2,5,-1,4,7,3]
[3,8,1,2,5,7,6,4]=>[4,5,2,-1,6,8,7,3]
[2,8,7,5,4,1,3,6]=>[7,2,8,6,5,-1,4,3]
[8,7,2,6,4,1,3,5]=>[7,4,8,6,-1,5,3,2]
[3,8,6,7,4,2,1,5]=>[8,7,2,6,-1,4,5,3]
[5,7,6,8,4,2,3,1]=>[-1,7,8,6,2,4,3,5]
[5,3,7,8,2,4,6,1]=>[-1,6,3,7,2,8,4,5]
[8,3,6,2,1,4,7,5]=>[6,5,3,7,-1,4,8,2]
[5,3,7,6,2,1,8,4]=>[7,6,3,-1,2,5,4,8]
[5,3,6,2,8,7,1,4]=>[8,5,3,-1,2,4,7,6]
[4,3,5,6,7,8,2,1]=>[-1,8,3,2,4,5,6,7]
[5,7,8,6,4,2,1,3]=>[8,7,-1,6,2,5,3,4]
[2,6,7,5,4,8,1,3]=>[8,2,-1,6,5,3,4,7]
[6,1,7,4,5,8,2,3]=>[3,8,-1,5,6,2,4,7]
[6,7,3,5,1,8,2,4]=>[6,8,4,-1,5,2,3,7]
[2,1,6,7,5,8,3,4]=>[3,2,8,-1,6,4,5,7]
[2,1,5,7,3,6,8,4]=>[3,2,6,-1,4,7,5,8]
[5,7,3,6,1,2,8,4]=>[6,7,4,-1,2,5,3,8]
[4,1,7,2,5,6,8,3]=>[3,5,-1,2,6,7,4,8]
[2,4,7,1,6,5,8,3]=>[5,2,-1,3,7,6,4,8]
[4,6,2,1,8,7,5,3]=>[5,4,-1,2,8,3,7,6]
[3,4,6,2,7,8,5,1]=>[-1,5,2,3,8,4,6,7]
[4,6,1,2,5,8,7,3]=>[4,5,-1,2,6,3,8,7]
[5,6,1,4,8,2,7,3]=>[4,7,-1,5,2,3,8,6]
[5,6,3,1,8,7,2,4]=>[5,8,4,-1,2,3,7,6]
[4,5,3,6,7,8,1,2]=>[8,-1,4,2,3,5,6,7]
[3,5,6,4,7,1,8,2]=>[7,-1,2,5,3,4,6,8]
[3,4,6,1,5,7,8,2]=>[5,-1,2,3,6,4,7,8]
[3,4,1,5,7,6,8,2]=>[4,-1,2,3,5,7,6,8]
[8,4,3,6,5,1,7,2]=>[7,-1,4,3,6,5,8,2]
[8,5,6,3,4,1,7,2]=>[7,-1,5,6,3,4,8,2]
[8,6,5,4,3,1,7,2]=>[7,-1,6,5,4,3,8,2]
[1,7,6,5,4,2,3,8]=>[2,7,8,6,5,4,3,-1]
[1,8,6,5,2,7,3,4]=>[2,6,8,-1,5,4,7,3]
[8,7,5,4,1,6,3,2]=>[6,-1,8,5,4,7,3,2]
[7,8,5,4,1,3,6,2]=>[6,-1,7,5,4,8,2,3]
[6,8,5,4,2,1,7,3]=>[7,6,-1,5,4,2,8,3]
[4,8,2,6,5,1,7,3]=>[7,4,-1,2,6,5,8,3]
[3,2,8,6,5,1,7,4]=>[7,3,2,-1,6,5,8,4]
[3,2,1,7,6,4,5,8]=>[4,3,2,7,8,6,5,-1]
[4,1,3,7,6,2,5,8]=>[3,7,4,2,8,6,5,-1]
[5,1,7,3,6,2,4,8]=>[3,7,5,8,2,6,4,-1]
[7,1,6,5,2,4,3,8]=>[3,6,8,7,5,4,2,-1]
[8,1,6,5,2,3,7,4]=>[3,6,7,-1,5,4,8,2]
[1,2,7,6,3,4,5,8]=>[2,3,6,7,8,5,4,-1]
[1,2,8,3,7,4,5,6]=>[2,3,5,7,8,-1,6,4]
[7,1,8,2,6,4,3,5]=>[3,5,8,7,-1,6,2,4]
[6,1,8,2,4,7,3,5]=>[3,5,8,6,-1,2,7,4]
[5,1,8,3,2,7,4,6]=>[3,6,5,8,2,-1,7,4]
[4,1,3,8,2,7,5,6]=>[3,6,4,2,8,-1,7,5]
[3,2,1,8,4,7,5,6]=>[4,3,2,6,8,-1,7,5]
[3,2,8,7,1,6,5,4]=>[6,3,2,-1,8,7,5,4]
[6,8,7,1,3,5,4,2]=>[5,-1,6,8,7,2,4,3]
[7,8,6,1,5,3,4,2]=>[5,-1,7,8,6,4,2,3]
[8,7,6,1,5,4,3,2]=>[5,-1,8,7,6,4,3,2]
[1,8,7,2,6,5,3,4]=>[2,5,8,-1,7,6,4,3]
[1,7,8,2,5,6,3,4]=>[2,5,8,-1,6,7,3,4]
[8,6,7,1,4,5,3,2]=>[5,-1,8,6,7,3,4,2]
[7,6,8,1,4,3,5,2]=>[5,-1,7,6,8,3,2,4]
[6,5,8,3,2,1,7,4]=>[7,6,5,-1,3,2,8,4]
[7,5,8,3,1,4,6,2]=>[6,-1,5,7,3,8,2,4]
[8,5,7,3,1,6,4,2]=>[6,-1,5,8,3,7,4,2]
[1,6,8,4,2,7,3,5]=>[2,6,8,5,-1,3,7,4]
[1,5,4,8,2,7,3,6]=>[2,6,8,4,3,-1,7,5]
[8,4,3,7,1,6,5,2]=>[6,-1,4,3,8,7,5,2]
[7,4,3,8,1,5,6,2]=>[6,-1,4,3,7,8,2,5]
[5,4,3,2,8,1,7,6]=>[7,5,4,3,2,-1,8,6]
[3,2,5,4,1,6,7,8]=>[6,3,2,5,4,7,8,-1]
[4,5,2,3,1,6,7,8]=>[6,4,5,2,3,7,8,-1]
[6,4,3,1,5,2,7,8]=>[5,7,4,3,6,2,8,-1]
[7,4,3,1,2,6,5,8]=>[5,6,4,3,8,7,2,-1]
[8,4,3,1,2,5,7,6]=>[5,6,4,3,7,-1,8,2]
[1,5,4,2,3,6,7,8]=>[2,5,6,4,3,7,8,-1]
[8,5,1,4,2,3,7,6]=>[4,6,7,5,3,-1,8,2]
[7,5,1,4,2,6,3,8]=>[4,6,8,5,3,7,2,-1]
[6,5,1,4,3,2,7,8]=>[4,7,6,5,3,2,8,-1]
[5,6,1,3,4,2,7,8]=>[4,7,5,6,2,3,8,-1]
[4,6,2,1,5,3,7,8]=>[5,4,7,2,6,3,8,-1]
[3,2,6,1,5,4,7,8]=>[5,3,2,7,6,4,8,-1]
[3,2,7,1,4,6,5,8]=>[5,3,2,6,8,7,4,-1]
[4,7,2,1,3,6,5,8]=>[5,4,6,2,8,7,3,-1]
[5,7,1,3,2,6,4,8]=>[4,6,5,8,2,7,3,-1]
[6,7,1,2,4,5,3,8]=>[4,5,8,6,7,2,3,-1]
[7,6,1,2,5,4,3,8]=>[4,5,8,7,6,3,2,-1]
[8,6,1,2,5,3,7,4]=>[4,5,7,-1,6,3,8,2]
[1,7,2,3,6,4,5,8]=>[2,4,5,7,8,6,3,-1]
[8,7,1,2,3,6,5,4]=>[4,5,6,-1,8,7,3,2]
[7,8,1,2,3,5,6,4]=>[4,5,6,-1,7,8,2,3]
[6,8,1,2,4,3,7,5]=>[4,5,7,6,-1,2,8,3]
[5,8,1,3,2,4,7,6]=>[4,6,5,7,2,-1,8,3]
[4,8,2,1,3,5,7,6]=>[5,4,6,2,7,-1,8,3]
[3,2,8,1,4,5,7,6]=>[5,3,2,6,7,-1,8,4]
[4,1,3,2,5,6,7,8]=>[3,5,4,2,6,7,8,-1]
[5,1,2,4,3,6,7,8]=>[3,4,6,5,2,7,8,-1]
[6,1,2,3,5,4,7,8]=>[3,4,5,7,6,2,8,-1]
[7,1,2,3,4,6,5,8]=>[3,4,5,6,8,7,2,-1]
[6,7,1,2,3,4,5,8]=>[4,5,6,7,8,2,3,-1]
[1,7,8,2,3,4,5,6]=>[2,5,6,7,8,-1,3,4]
[6,1,7,2,3,4,5,8]=>[3,5,6,7,8,2,4,-1]
[5,7,1,2,3,4,6,8]=>[4,5,6,7,2,8,3,-1]
[1,6,8,2,3,4,5,7]=>[2,5,6,7,8,3,-1,4]
[6,1,2,7,3,4,5,8]=>[3,4,6,7,8,2,5,-1]
[4,7,1,2,3,5,6,8]=>[4,5,6,2,7,8,3,-1]
[1,7,2,3,8,4,5,6]=>[2,4,5,7,8,-1,3,6]
[1,5,8,2,3,4,6,7]=>[2,5,6,7,3,8,-1,4]
[4,3,7,1,8,2,5,6]=>[5,7,3,2,8,-1,4,6]
[2,3,4,5,6,7,1,8]=>[8,2,3,4,5,6,7,-1]
[2,3,4,5,7,8,1,6]=>[8,2,3,4,5,-1,6,7]
[2,4,5,6,7,8,1,3]=>[8,2,-1,3,4,5,6,7]
[2,3,4,5,6,1,7,8]=>[7,2,3,4,5,6,8,-1]
[2,3,4,5,1,8,6,7]=>[6,2,3,4,5,8,-1,7]
[2,3,1,6,7,8,4,5]=>[4,2,3,8,-1,5,6,7]
[1,4,5,6,7,8,2,3]=>[2,8,-1,3,4,5,6,7]
[2,3,4,5,8,1,6,7]=>[7,2,3,4,5,8,-1,6]
[2,3,4,7,1,8,5,6]=>[6,2,3,4,8,-1,5,7]
[2,3,4,5,1,6,7,8]=>[6,2,3,4,5,7,8,-1]
[2,3,6,1,7,8,4,5]=>[5,2,3,8,-1,4,6,7]
[2,5,1,6,7,8,3,4]=>[4,2,8,-1,3,5,6,7]
[2,3,1,4,7,8,5,6]=>[4,2,3,5,8,-1,6,7]
[4,1,5,6,7,8,2,3]=>[3,8,-1,2,4,5,6,7]
[2,1,3,6,7,8,4,5]=>[3,2,4,8,-1,5,6,7]
[1,2,5,6,7,8,3,4]=>[2,3,8,-1,4,5,6,7]
[-2,1,-4,3,-6,5,-8,7]=>[3,-2,5,-4,7,-6,-1,-8]
[3,4,1,2,-6,5,-8,7]=>[4,5,2,3,7,-6,-1,-8]
[2,-4,-3,1,-6,5,-8,7]=>[5,2,-4,-3,7,-6,-1,-8]
[-5,2,-3,6,1,4,-8,7]=>[6,3,-4,7,-2,5,-1,-8]
[2,-6,4,-3,-5,1,-8,7]=>[7,2,-5,4,-6,-3,-1,-8]
[-7,2,4,-3,-5,8,1,6]=>[8,3,-5,4,-6,-1,-2,7]
[2,-8,4,-3,6,-5,-7,1]=>[-1,2,-5,4,-7,6,-8,-3]
[5,8,2,3,6,-4,-7,1]=>[-1,4,5,-7,2,6,-8,3]
[5,2,7,3,-4,8,1,6]=>[8,3,5,-6,2,-1,4,7]
[5,6,2,3,-4,1,-8,7]=>[7,4,5,-6,2,3,-1,-8]
[2,-5,-4,6,1,3,-8,7]=>[6,2,7,-4,-3,5,-1,-8]
[1,4,5,6,2,3,-8,7]=>[2,6,7,3,4,5,-1,-8]
[5,6,1,-3,2,4,-8,7]=>[4,6,-5,7,2,3,-1,-8]
[-2,-5,1,6,3,4,-8,7]=>[4,-2,6,7,-3,5,-1,-8]
[-2,1,4,-6,-5,3,-8,7]=>[3,-2,7,4,-6,-5,-1,-8]
[4,-6,1,-3,-5,2,-8,7]=>[4,7,-5,2,-6,-3,-1,-8]
[5,6,3,1,-4,2,-8,7]=>[5,7,4,-6,2,3,-1,-8]
[5,6,-4,3,1,2,-8,7]=>[6,7,5,-4,2,3,-1,-8]
[3,2,-6,-5,-4,1,-8,7]=>[7,3,2,-6,-5,-4,-1,-8]
[3,-7,2,-5,-4,8,1,6]=>[8,4,2,-6,-5,-1,-3,7]
[3,2,-8,-5,6,-4,-7,1]=>[-1,3,2,-7,-5,6,-8,-4]
[7,-3,8,-6,2,5,-4,1]=>[-1,6,-3,-8,7,-5,2,4]
[-7,3,8,-6,2,-4,1,5]=>[8,6,3,-7,-1,-5,-2,4]
[-4,6,7,3,1,8,2,5]=>[6,8,5,-2,-1,3,4,7]
[-7,3,8,-5,1,-4,2,6]=>[6,8,3,-7,-5,-1,-2,4]
[5,3,7,1,-4,8,2,6]=>[5,8,3,-6,2,-1,4,7]
[-7,4,1,-3,-5,8,2,6]=>[4,8,-5,3,-6,-1,-2,7]
[-2,1,-7,4,-5,8,3,6]=>[3,-2,8,5,-6,-1,-4,7]
[-2,1,4,-8,6,-5,-7,3]=>[3,-2,-1,4,-7,6,-8,-5]
[4,-8,1,-3,6,-5,-7,2]=>[4,-1,-5,2,-7,6,-8,-3]
[5,8,3,1,6,-4,-7,2]=>[5,-1,4,-7,2,6,-8,3]
[3,6,-8,-5,1,-4,-7,2]=>[6,-1,2,-7,-5,3,-8,-4]
[7,-3,8,-6,5,1,-4,2]=>[7,-1,-3,-8,6,-5,2,4]
[7,8,-4,3,-6,5,1,2]=>[8,-1,5,-4,7,-6,2,3]
[3,5,-8,2,-7,-4,-6,1]=>[-1,5,2,-7,3,-8,-6,-4]
[7,8,3,4,2,-6,-5,1]=>[-1,6,4,5,-8,-7,2,3]
[7,8,-3,-6,4,1,-5,2]=>[7,-1,-4,6,-8,-5,2,3]
[1,6,7,8,3,4,-5,2]=>[2,-1,6,7,-8,3,4,5]
[7,8,3,1,-6,5,-4,2]=>[5,-1,4,-8,7,-6,2,3]
[-7,8,-3,1,4,5,-6,2]=>[5,-1,-4,6,7,-8,-2,3]
[-2,-7,1,8,4,5,-6,3]=>[4,-2,-1,6,7,-8,-3,5]
[-2,1,4,-7,-6,8,3,5]=>[3,-2,8,4,-1,-6,-5,7]
[7,8,1,4,-6,-3,2,5]=>[4,8,-7,5,-1,-6,2,3]
[3,-7,8,-6,1,-4,2,5]=>[6,8,2,-7,-1,-5,-3,4]
[3,6,7,8,-5,1,2,4]=>[7,8,2,-1,-6,3,4,5]
[3,8,-7,-6,-5,2,1,4]=>[8,7,2,-1,-6,-5,-4,3]
[7,8,-3,-6,2,4,-5,1]=>[-1,6,-4,7,-8,-5,2,3]
[5,6,7,8,3,4,-2,1]=>[-1,-8,6,7,2,3,4,5]
[2,6,7,8,-5,3,1,4]=>[8,2,7,-1,-6,3,4,5]
[-6,2,-5,7,1,8,3,4]=>[6,3,8,-1,-4,-2,5,7]
[-4,6,7,8,1,2,3,5]=>[6,7,8,-2,-1,3,4,5]
[1,6,7,-3,2,8,4,5]=>[2,6,-5,8,-1,3,4,7]
[-6,-2,1,3,7,8,4,5]=>[4,-3,5,8,-1,-2,6,7]
[-2,-7,1,8,3,-5,4,6]=>[4,-2,6,8,-7,-1,-3,5]
[7,8,1,-3,2,-5,4,6]=>[4,6,-5,8,-7,-1,2,3]
[5,1,7,8,2,-4,3,6]=>[3,6,8,-7,2,-1,4,5]
[2,-7,8,-5,1,-4,3,6]=>[6,2,8,-7,-5,-1,-3,4]
[-6,2,-4,1,7,8,3,5]=>[5,3,8,-4,-1,-2,6,7]
[2,-7,8,-6,3,-4,1,5]=>[8,2,6,-7,-1,-5,-3,4]
[7,8,2,3,-6,5,-4,1]=>[-1,4,5,-8,7,-6,2,3]
[-7,2,-3,8,4,5,-6,1]=>[-1,3,-4,6,7,-8,-2,5]
[-7,2,4,8,-6,-3,1,5]=>[8,3,-7,4,-1,-6,-2,5]
[6,2,-3,1,7,8,4,5]=>[5,3,-4,8,-1,2,6,7]
[-7,2,-3,8,1,-5,4,6]=>[6,3,-4,8,-7,-1,-2,5]
[2,-4,-3,-7,1,8,5,6]=>[6,2,-4,-3,8,-1,-5,7]
[3,4,1,-7,2,8,5,6]=>[4,6,2,3,8,-1,-5,7]
[-2,1,-4,-7,3,8,5,6]=>[3,-2,6,-4,8,-1,-5,7]
[-2,1,-4,3,6,-8,-7,5]=>[3,-2,5,-4,-1,6,-8,-7]
[3,4,1,2,6,-8,-7,5]=>[4,5,2,3,-1,6,-8,-7]
[2,-4,-3,1,6,-8,-7,5]=>[5,2,-4,-3,-1,6,-8,-7]
[2,-8,6,-3,1,-5,-7,4]=>[6,2,-5,-1,-7,4,-8,-3]
[-7,2,-3,8,5,1,-6,4]=>[7,3,-4,-1,6,-8,-2,5]
[-7,2,-3,8,-6,5,1,4]=>[8,3,-4,-1,7,-6,-2,5]
[2,-8,5,4,-3,-7,-6,1]=>[-1,2,-6,5,4,-8,-7,-3]
[5,2,-8,3,-7,-4,-6,1]=>[-1,3,5,-7,2,-8,-6,-4]
[2,-7,-4,8,-6,5,1,3]=>[8,2,-1,-4,7,-6,-3,5]
[2,-7,8,-6,5,1,-4,3]=>[7,2,-1,-8,6,-5,-3,4]
[6,2,-8,-5,1,-4,-7,3]=>[6,3,-1,-7,-5,2,-8,-4]
[5,8,6,1,2,-4,-7,3]=>[5,6,-1,-7,2,4,-8,3]
[6,-8,1,-3,2,-5,-7,4]=>[4,6,-5,-1,-7,2,-8,-3]
[-2,1,6,-8,3,-5,-7,4]=>[3,-2,6,-1,-7,4,-8,-5]
[-2,-7,1,8,5,3,-6,4]=>[4,-2,7,-1,6,-8,-3,5]
[7,8,1,-3,5,2,-6,4]=>[4,7,-5,-1,6,-8,2,3]
[7,8,5,1,-6,2,-4,3]=>[5,7,-1,-8,4,-6,2,3]
[1,6,7,8,4,2,-5,3]=>[2,7,-1,6,-8,3,4,5]
[2,8,-7,-6,4,1,-5,3]=>[7,2,-1,6,-8,-5,-4,3]
[2,6,7,-5,8,4,1,3]=>[8,2,-1,7,-5,3,4,6]
[7,8,4,2,3,-6,-5,1]=>[-1,5,6,4,-8,-7,2,3]
[7,8,4,-6,2,3,-5,1]=>[-1,6,7,4,-8,-5,2,3]
[2,8,-7,-6,-5,4,1,3]=>[8,2,-1,7,-6,-5,-4,3]
[1,6,7,8,-5,4,2,3]=>[2,8,-1,7,-6,3,4,5]
[7,8,5,-4,-6,1,2,3]=>[7,8,-1,-5,4,-6,2,3]
[7,8,1,-3,-6,5,2,4]=>[4,8,-5,-1,7,-6,2,3]
[-2,-7,1,8,-6,5,3,4]=>[4,-2,8,-1,7,-6,-3,5]
[-2,1,5,4,-8,-7,-6,3]=>[3,-2,-1,5,4,-8,-7,-6]
[5,-8,1,4,-3,-7,-6,2]=>[4,-1,-6,5,2,-8,-7,-3]
[5,3,-8,1,-7,-4,-6,2]=>[5,-1,3,-7,2,-8,-6,-4]
[7,8,4,3,1,-6,-5,2]=>[6,-1,5,4,-8,-7,2,3]
[7,8,4,-6,3,1,-5,2]=>[7,-1,6,4,-8,-5,2,3]
[7,8,4,-6,-5,3,1,2]=>[8,-1,7,4,-6,-5,2,3]
[4,3,2,-8,-7,-6,-5,1]=>[-1,4,3,2,-8,-7,-6,-5]
[1,2,3,7,5,6,8,4]=>[2,3,4,-1,6,7,5,8]
[8,3,1,2,4,5,6,7]=>[4,5,3,6,7,8,-1,2]
[8,2,3,1,4,5,6,7]=>[5,3,4,6,7,8,-1,2]
[4,2,3,5,6,7,8,1]=>[-1,3,4,2,5,6,7,8]
[8,4,1,2,3,5,6,7]=>[4,5,6,3,7,8,-1,2]
[8,3,2,1,4,5,6,7]=>[5,4,3,6,7,8,-1,2]
[8,2,3,4,1,5,6,7]=>[6,3,4,5,7,8,-1,2]
[5,2,3,4,6,7,8,1]=>[-1,3,4,5,2,6,7,8]
[3,4,5,2,6,7,8,1]=>[-1,5,2,3,4,6,7,8]
[6,1,2,3,4,5,7,8]=>[3,4,5,6,7,2,8,-1]
[7,1,2,3,4,8,5,6]=>[3,4,5,6,8,-1,2,7]
[4,2,3,1,6,5,8,7]=>[5,3,4,2,7,6,-1,8]
[8,6,7,4,5,2,3,1]=>[-1,7,8,5,6,3,4,2]
[8,6,7,3,5,2,4,1]=>[-1,7,5,8,6,3,4,2]
[6,3,5,2,4,1,8,7]=>[7,5,3,6,4,2,-1,8]
[2,1,6,4,5,3,8,7]=>[3,2,7,5,6,4,-1,8]
[2,1,8,5,7,4,6,3]=>[3,2,-1,7,5,8,6,4]
[8,5,7,3,6,2,4,1]=>[-1,7,5,8,3,6,4,2]
[8,5,7,4,6,2,3,1]=>[-1,7,8,5,3,6,4,2]
[2,1,4,3,8,6,7,5]=>[3,2,5,4,-1,7,8,6]
[6,5,2,1,4,7,8,3]=>[5,4,-1,6,3,2,7,8]
[2,6,4,7,3,5,8,1]=>[-1,2,6,4,7,3,5,8]
[-2,-3,-4,1,-6,5,-8,7]=>[5,-2,-3,-4,7,-6,-1,-8]
[-2,-5,-3,6,1,4,-8,7]=>[6,-2,-4,7,-3,5,-1,-8]
[-2,-5,4,-3,-6,1,-8,7]=>[7,-2,-5,4,-3,-6,-1,-8]
[-2,-5,4,-7,-3,8,1,6]=>[8,-2,-6,4,-3,-1,-5,7]
[-2,-5,-3,4,6,-7,-8,1]=>[-1,-2,-4,5,-3,6,-7,-8]
[7,5,2,3,6,-4,-8,1]=>[-1,4,5,-7,3,6,2,-8]
[4,5,2,-7,3,8,1,6]=>[8,4,6,2,3,-1,-5,7]
[4,5,2,3,-6,1,-8,7]=>[7,4,5,2,3,-6,-1,-8]
[6,-4,-5,2,1,3,-8,7]=>[6,5,7,-3,-4,2,-1,-8]
[-2,1,-4,-5,-6,3,-8,7]=>[3,-2,7,-4,-5,-6,-1,-8]
[-5,4,1,-3,-6,2,-8,7]=>[4,7,-5,3,-2,-6,-1,-8]
[5,-4,3,1,-6,2,-8,7]=>[5,7,4,-3,2,-6,-1,-8]
[4,-6,-5,3,1,2,-8,7]=>[6,7,5,2,-4,-3,-1,-8]
[-2,-3,-4,-5,-6,1,-8,7]=>[7,-2,-3,-4,-5,-6,-1,-8]
[-2,-3,-4,-7,-5,8,1,6]=>[8,-2,-3,-4,-6,-1,-5,7]
[-2,-3,-4,-7,6,-5,-8,1]=>[-1,-2,-3,-4,-7,6,-5,-8]
[-7,-3,-8,-6,2,5,-4,1]=>[-1,6,-3,-8,7,-5,-2,-4]
[8,-3,-4,-6,-7,2,1,5]=>[8,7,-3,-4,-1,-5,-6,2]
[-7,-6,4,3,1,8,2,5]=>[6,8,5,4,-1,-3,-2,7]
[-3,8,-7,-4,1,-5,2,6]=>[6,8,-2,-5,-7,-1,-4,3]
[5,-4,3,-7,1,8,2,6]=>[6,8,4,-3,2,-1,-5,7]
[-5,4,1,-7,-3,8,2,6]=>[4,8,-6,3,-2,-1,-5,7]
[-2,1,-4,-7,-5,8,3,6]=>[3,-2,8,-4,-6,-1,-5,7]
[-2,1,-4,-7,6,-5,-8,3]=>[3,-2,-1,-4,-7,6,-5,-8]
[-5,4,-3,1,6,-7,-8,2]=>[5,-1,-4,3,-2,6,-7,-8]
[-4,5,3,1,6,-7,-8,2]=>[5,-1,4,-2,3,6,-7,-8]
[6,-3,-7,-4,1,-5,-8,2]=>[6,-1,-3,-5,-7,2,-4,-8]
[-3,-4,-8,7,5,1,-6,2]=>[7,-1,-2,-3,6,-8,5,-4]
[-6,-8,4,3,-7,5,1,2]=>[8,-1,5,4,7,-2,-6,-3]
[-5,-3,-6,2,-7,-4,-8,1]=>[-1,5,-3,-7,-2,-4,-6,-8]
[-5,6,3,4,2,-7,-8,1]=>[-1,6,4,5,-2,3,-7,-8]
[3,7,-5,-8,4,1,-6,2]=>[7,-1,2,6,-4,-8,3,-5]
[5,1,6,7,3,4,-8,2]=>[3,-1,6,7,2,4,5,-8]
[7,-6,3,1,-8,5,-4,2]=>[5,-1,4,-8,7,-3,2,-6]
[-6,-3,1,7,4,5,-8,2]=>[4,-1,-3,6,7,-2,5,-8]
[-7,-2,-6,1,4,5,-8,3]=>[5,-3,-1,6,7,-4,-2,-8]
[-2,-8,1,-6,-7,4,3,5]=>[4,-2,8,7,-1,-5,-6,-3]
[6,1,8,4,-7,-3,2,5]=>[3,8,-7,5,-1,2,-6,4]
[-8,-6,3,1,-7,-4,2,5]=>[5,8,4,-7,-1,-3,-6,-2]
[5,6,3,8,-7,1,2,4]=>[7,8,4,-1,2,3,-6,5]
[7,-6,5,8,3,1,2,4]=>[7,8,6,-1,4,-3,2,5]
[-8,-3,-5,-6,-7,2,1,4]=>[8,7,-3,-1,-4,-5,-6,-2]
[-7,3,-5,-8,2,4,-6,1]=>[-1,6,3,7,-4,-8,-2,-5]
[5,8,6,7,3,4,-2,1]=>[-1,-8,6,7,2,4,5,3]
[2,5,6,8,-7,3,1,4]=>[8,2,7,-1,3,4,-6,5]
[2,-5,-6,7,1,8,3,4]=>[6,2,8,-1,-3,-4,5,7]
[8,-7,2,-4,1,-5,3,6]=>[6,4,8,-5,-7,-1,-3,2]
[-4,-6,7,2,1,8,3,5]=>[6,5,8,-2,-1,-3,4,7]
[2,-6,8,3,-7,-4,1,5]=>[8,2,5,-7,-1,-3,-6,4]
[-6,2,7,-4,3,5,-8,1]=>[-1,3,6,-5,7,-2,4,-8]
[-6,2,-3,7,4,5,-8,1]=>[-1,3,-4,6,7,-2,5,-8]
[-6,-2,4,8,-7,-3,1,5]=>[8,-3,-7,4,-1,-2,-6,5]
[-6,-2,-3,1,7,8,4,5]=>[5,-3,-4,8,-1,-2,6,7]
[-2,-7,-3,8,1,-5,4,6]=>[6,-2,-4,8,-7,-1,-3,5]
[-2,-3,-4,-7,1,8,5,6]=>[6,-2,-3,-4,8,-1,-5,7]
[-2,1,-4,3,-6,-7,-8,5]=>[3,-2,5,-4,-1,-6,-7,-8]
[3,4,1,2,-6,-7,-8,5]=>[4,5,2,3,-1,-6,-7,-8]
[-2,-3,-4,1,-6,-7,-8,5]=>[5,-2,-3,-4,-1,-6,-7,-8]
[-2,-3,-7,6,1,-5,-8,4]=>[6,-2,-3,-1,-7,5,-4,-8]
[-2,-7,-3,-6,5,1,-8,4]=>[7,-2,-4,-1,6,-5,-3,-8]
[-2,-6,-3,-8,-7,5,1,4]=>[8,-2,-4,-1,7,-3,-6,-5]
[-2,-5,4,-3,-6,-7,-8,1]=>[-1,-2,-5,4,-3,-6,-7,-8]
[-6,5,2,3,-4,-7,-8,1]=>[-1,4,5,-6,3,-2,-7,-8]
[-8,6,-4,2,-7,5,1,3]=>[8,5,-1,-4,7,3,-6,-2]
[7,-8,-4,2,5,1,-6,3]=>[7,5,-1,-4,6,-8,2,-3]
[6,2,-7,-4,1,-5,-8,3]=>[6,3,-1,-5,-7,2,-4,-8]
[5,7,1,6,2,-4,-8,3]=>[4,6,-1,-7,2,5,3,-8]
[-7,6,1,-3,2,-5,-8,4]=>[4,6,-5,-1,-7,3,-2,-8]
[-2,1,-7,6,3,-5,-8,4]=>[3,-2,6,-1,-7,5,-4,-8]
[-2,-7,1,-6,5,3,-8,4]=>[4,-2,7,-1,6,-5,-3,-8]
[7,5,1,-6,-3,2,-8,4]=>[4,7,-6,-1,3,-5,2,-8]
[8,7,1,5,-6,2,-4,3]=>[4,7,-1,-8,5,-6,3,2]
[5,6,7,1,4,2,-8,3]=>[5,7,-1,6,2,3,4,-8]
[4,-7,-5,-6,2,1,-8,3]=>[7,6,-1,2,-4,-5,-3,-8]
[-8,5,6,-7,2,4,1,3]=>[8,6,-1,7,3,4,-5,-2]
[6,4,-5,2,3,-7,-8,1]=>[-1,5,6,3,-4,2,-7,-8]
[5,4,-7,-6,2,3,-8,1]=>[-1,6,7,3,2,-5,-4,-8]
[4,-5,-8,-6,-7,2,1,3]=>[8,7,-1,2,-3,-5,-6,-4]
[7,8,-6,5,1,4,2,3]=>[6,8,-1,7,5,-4,2,3]
[5,8,6,1,-7,4,2,3]=>[5,8,-1,7,2,4,-6,3]
[8,1,6,-4,-7,5,2,3]=>[3,8,-1,-5,7,4,-6,2]
[6,5,1,-8,-7,-3,2,4]=>[4,8,-7,-1,3,2,-6,-5]
[-2,-6,1,-8,-7,5,3,4]=>[4,-2,8,-1,7,-3,-6,-5]
[-2,1,-4,-5,-6,-7,-8,3]=>[3,-2,-1,-4,-5,-6,-7,-8]
[-5,4,1,-3,-6,-7,-8,2]=>[4,-1,-5,3,-2,-6,-7,-8]
[-5,-6,3,1,-4,-7,-8,2]=>[5,-1,4,-6,-2,-3,-7,-8]
[4,-6,-5,3,1,-7,-8,2]=>[6,-1,5,2,-4,-3,-7,-8]
[4,-5,-7,-6,3,1,-8,2]=>[7,-1,6,2,-3,-5,-4,-8]
[4,-5,-6,-8,-7,3,1,2]=>[8,-1,7,2,-3,-4,-6,-5]
[-2,-3,-4,-5,-6,-7,-8,1]=>[-1,-2,-3,-4,-5,-6,-7,-8]
[6,2,3,1,5,4,8,7]=>[5,3,4,7,6,2,-1,8]
[8,4,5,2,3,1,7,6]=>[7,5,6,3,4,-1,8,2]
[8,6,7,2,5,3,4,1]=>[-1,5,7,8,6,3,4,2]
[8,2,5,3,4,1,7,6]=>[7,3,5,6,4,-1,8,2]
[6,2,5,3,4,1,8,7]=>[7,3,5,6,4,2,-1,8]
[6,4,5,1,3,2,8,7]=>[5,7,6,3,4,2,-1,8]
[6,1,5,3,4,2,8,7]=>[3,7,5,6,4,2,-1,8]
[6,3,5,1,4,2,8,7]=>[5,7,3,6,4,2,-1,8]
[8,3,5,2,4,1,7,6]=>[7,5,3,6,4,-1,8,2]
[8,3,7,5,6,2,4,1]=>[-1,7,3,8,5,6,4,2]
[8,3,7,2,4,1,6,5]=>[7,5,3,6,-1,8,4,2]
[8,3,5,1,4,2,7,6]=>[5,7,3,6,4,-1,8,2]
[8,1,5,3,4,2,7,6]=>[3,7,5,6,4,-1,8,2]
[8,4,5,1,3,2,7,6]=>[5,7,6,3,4,-1,8,2]
[2,1,8,4,5,3,7,6]=>[3,2,7,5,6,-1,8,4]
[8,6,7,4,5,1,3,2]=>[7,-1,8,5,6,3,4,2]
[8,6,7,1,5,3,4,2]=>[5,-1,7,8,6,3,4,2]
[8,6,7,3,5,1,4,2]=>[7,-1,5,8,6,3,4,2]
[8,3,7,5,6,1,4,2]=>[7,-1,3,8,5,6,4,2]
[8,3,7,4,6,2,5,1]=>[-1,7,3,5,8,6,4,2]
[8,3,7,4,6,1,5,2]=>[7,-1,3,5,8,6,4,2]
[8,3,7,1,6,4,5,2]=>[5,-1,3,7,8,6,4,2]
[8,1,7,3,6,4,5,2]=>[3,-1,5,7,8,6,4,2]
[8,1,7,5,6,3,4,2]=>[3,-1,7,8,5,6,4,2]
[8,4,7,5,6,1,3,2]=>[7,-1,8,3,5,6,4,2]
[8,1,7,3,4,2,6,5]=>[3,7,5,6,-1,8,4,2]
[8,1,7,3,6,2,5,4]=>[3,7,5,-1,8,6,4,2]
[8,3,7,1,6,2,5,4]=>[5,7,3,-1,8,6,4,2]
[8,3,7,2,6,4,5,1]=>[-1,5,3,7,8,6,4,2]
[8,2,7,3,6,4,5,1]=>[-1,3,5,7,8,6,4,2]
[8,2,7,3,6,1,5,4]=>[7,3,5,-1,8,6,4,2]
[8,2,7,1,6,3,5,4]=>[5,3,7,-1,8,6,4,2]
[8,2,7,1,4,3,6,5]=>[5,3,7,6,-1,8,4,2]
[8,2,7,3,4,1,6,5]=>[7,3,5,6,-1,8,4,2]
[8,2,7,5,6,3,4,1]=>[-1,3,7,8,5,6,4,2]
[8,4,7,5,6,2,3,1]=>[-1,7,8,3,5,6,4,2]
[8,4,7,2,3,1,6,5]=>[7,5,6,3,-1,8,4,2]
[8,2,3,1,7,4,6,5]=>[5,3,4,7,-1,8,6,2]
[8,2,3,1,5,4,7,6]=>[5,3,4,7,6,-1,8,2]
[4,2,3,1,8,5,7,6]=>[5,3,4,2,7,-1,8,6]
[4,1,3,2,8,6,7,5]=>[3,5,4,2,-1,7,8,6]
[8,6,7,2,3,1,5,4]=>[7,5,6,-1,8,3,4,2]
[8,2,3,1,7,5,6,4]=>[5,3,4,-1,7,8,6,2]
[8,5,7,2,6,3,4,1]=>[-1,5,7,8,3,6,4,2]
[8,5,7,2,6,1,4,3]=>[7,5,-1,8,3,6,4,2]
[8,2,7,5,6,1,4,3]=>[7,3,-1,8,5,6,4,2]
[8,6,7,2,5,1,4,3]=>[7,5,-1,8,6,3,4,2]
[8,6,7,1,5,2,4,3]=>[5,7,-1,8,6,3,4,2]
[8,6,7,1,3,2,5,4]=>[5,7,6,-1,8,3,4,2]
[2,1,8,6,7,3,5,4]=>[3,2,7,-1,8,5,6,4]
[2,1,8,3,7,5,6,4]=>[3,2,5,-1,7,8,6,4]
[8,1,3,2,7,5,6,4]=>[3,5,4,-1,7,8,6,2]
[8,1,7,5,6,2,4,3]=>[3,7,-1,8,5,6,4,2]
[8,1,7,2,6,4,5,3]=>[3,5,-1,7,8,6,4,2]
[8,2,7,1,6,4,5,3]=>[5,3,-1,7,8,6,4,2]
[8,2,7,4,6,1,5,3]=>[7,3,-1,5,8,6,4,2]
[8,2,7,4,6,3,5,1]=>[-1,3,7,5,8,6,4,2]
[8,4,7,2,6,3,5,1]=>[-1,5,7,3,8,6,4,2]
[8,4,7,2,6,1,5,3]=>[7,5,-1,3,8,6,4,2]
[8,4,7,1,6,2,5,3]=>[5,7,-1,3,8,6,4,2]
[8,1,7,4,6,2,5,3]=>[3,7,-1,5,8,6,4,2]
[8,5,7,1,6,2,4,3]=>[5,7,-1,8,3,6,4,2]
[2,1,8,5,7,3,6,4]=>[3,2,7,-1,5,8,6,4]
[8,5,7,4,6,1,3,2]=>[7,-1,8,5,3,6,4,2]
[8,5,7,1,6,3,4,2]=>[5,-1,7,8,3,6,4,2]
[8,1,7,4,6,3,5,2]=>[3,-1,7,5,8,6,4,2]
[8,4,7,1,6,3,5,2]=>[5,-1,7,3,8,6,4,2]
[8,4,7,3,6,1,5,2]=>[7,-1,5,3,8,6,4,2]
[7,5,1,3,8,2,4,6]=>[4,7,5,8,3,-1,2,6]
[3,2,6,4,8,5,1,7]=>[8,3,2,5,7,4,-1,6]
[3,2,5,8,4,6,1,7]=>[8,3,2,6,4,7,-1,5]
[3,5,2,4,1,7,6,8]=>[6,4,2,5,3,8,7,-1]
[3,2,1,5,4,7,6,8]=>[4,3,2,6,5,8,7,-1]
[4,2,1,5,7,3,6,8]=>[4,3,7,2,5,8,6,-1]
[4,5,2,3,7,1,6,8]=>[7,4,5,2,3,8,6,-1]
[4,2,5,3,8,1,6,7]=>[7,3,5,2,4,8,-1,6]
[4,2,5,8,3,1,6,7]=>[7,3,6,2,4,8,-1,5]
[2,1,5,4,3,6,8,7]=>[3,2,6,5,4,7,-1,8]
[3,1,5,4,2,8,6,7]=>[3,6,2,5,4,8,-1,7]
[4,1,5,3,8,2,6,7]=>[3,7,5,2,4,8,-1,6]
[4,1,5,8,3,2,6,7]=>[3,7,6,2,4,8,-1,5]
[4,3,8,5,2,1,6,7]=>[7,6,3,2,5,8,-1,4]
[4,7,3,5,2,1,6,8]=>[7,6,4,2,5,8,3,-1]
[4,3,2,7,5,1,6,8]=>[7,4,3,2,6,8,5,-1]
[4,3,6,2,5,1,7,8]=>[7,5,3,2,6,4,8,-1]
[4,6,3,2,5,1,7,8]=>[7,5,4,2,6,3,8,-1]
[4,6,7,1,3,2,5,8]=>[5,7,6,2,8,3,4,-1]
[4,5,1,7,3,2,6,8]=>[4,7,6,2,3,8,5,-1]
[4,5,1,3,7,2,6,8]=>[4,7,5,2,3,8,6,-1]
[3,5,1,4,2,7,6,8]=>[4,6,2,5,3,8,7,-1]
[2,5,1,4,3,7,8,6]=>[4,2,6,5,3,-1,7,8]
[5,2,1,4,3,7,8,6]=>[4,3,6,5,2,-1,7,8]
[5,3,1,4,2,7,6,8]=>[4,6,3,5,2,8,7,-1]
[4,3,1,7,5,2,6,8]=>[4,7,3,2,6,8,5,-1]
[4,3,6,1,5,2,7,8]=>[5,7,3,2,6,4,8,-1]
[4,6,3,1,5,2,7,8]=>[5,7,4,2,6,3,8,-1]
[5,3,6,4,1,2,7,8]=>[6,7,3,5,2,4,8,-1]
[5,3,6,7,1,2,4,8]=>[6,7,3,8,2,4,5,-1]
[4,3,6,1,7,2,5,8]=>[5,7,3,2,8,4,6,-1]
[6,3,4,1,2,7,5,8]=>[5,6,3,4,8,2,7,-1]
[6,2,4,1,3,7,8,5]=>[5,3,6,4,-1,2,7,8]
[2,6,4,1,3,7,8,5]=>[5,2,6,4,-1,3,7,8]
[3,6,4,1,2,7,5,8]=>[5,6,2,4,8,3,7,-1]
[4,6,3,1,7,2,5,8]=>[5,7,4,2,8,3,6,-1]
[5,6,7,3,1,2,4,8]=>[6,7,5,8,2,3,4,-1]
[5,6,3,2,1,4,7,8]=>[6,5,4,7,2,3,8,-1]
[5,3,6,2,1,4,7,8]=>[6,5,3,7,2,4,8,-1]
[5,6,2,7,1,3,4,8]=>[6,4,7,8,2,3,5,-1]
[5,6,7,2,1,3,4,8]=>[6,5,7,8,2,3,4,-1]
[4,5,2,7,3,1,6,8]=>[7,4,6,2,3,8,5,-1]
[4,6,7,2,3,1,5,8]=>[7,5,6,2,8,3,4,-1]
[4,6,2,1,7,3,5,8]=>[5,4,7,2,8,3,6,-1]
[3,2,6,1,4,7,5,8]=>[5,3,2,6,8,4,7,-1]
[3,6,2,1,4,7,5,8]=>[5,4,2,6,8,3,7,-1]
[3,6,7,2,4,5,1,8]=>[8,5,2,6,7,3,4,-1]
[3,5,2,7,4,6,1,8]=>[8,4,2,6,3,7,5,-1]
[3,7,2,4,8,5,1,6]=>[8,4,2,5,7,-1,3,6]
[7,2,1,4,6,3,8,5]=>[4,3,7,5,-1,6,2,8]
[7,3,1,4,6,8,2,5]=>[4,8,3,5,-1,6,2,7]
[3,2,1,4,7,6,5,8]=>[4,3,2,5,8,7,6,-1]
[3,2,1,7,5,6,4,8]=>[4,3,2,8,6,7,5,-1]
[3,2,6,1,5,7,4,8]=>[5,3,2,8,6,4,7,-1]
[3,6,2,1,5,7,4,8]=>[5,4,2,8,6,3,7,-1]
[6,3,2,1,5,7,4,8]=>[5,4,3,8,6,2,7,-1]
[6,4,2,1,5,3,7,8]=>[5,4,7,3,6,2,8,-1]
[4,2,6,1,5,3,7,8]=>[5,3,7,2,6,4,8,-1]
[4,2,1,7,5,3,6,8]=>[4,3,7,2,6,8,5,-1]
[7,4,1,5,6,2,3,8]=>[4,7,8,3,5,6,2,-1]
[7,3,1,5,2,6,4,8]=>[4,6,3,8,5,7,2,-1]
[7,2,1,5,3,6,8,4]=>[4,3,6,-1,5,7,2,8]
[6,2,5,1,3,7,8,4]=>[5,3,6,-1,4,2,7,8]
[6,3,5,1,2,7,4,8]=>[5,6,3,8,4,2,7,-1]
[6,4,5,1,7,2,3,8]=>[5,7,8,3,4,2,6,-1]
[5,4,6,7,1,2,3,8]=>[6,7,8,3,2,4,5,-1]
[5,2,6,4,1,3,7,8]=>[6,3,7,5,2,4,8,-1]
[5,6,2,4,1,3,7,8]=>[6,4,7,5,2,3,8,-1]
[5,4,2,6,1,3,7,8]=>[6,4,7,3,2,5,8,-1]
[5,4,6,2,1,3,7,8]=>[6,5,7,3,2,4,8,-1]
[5,6,4,2,1,3,7,8]=>[6,5,7,4,2,3,8,-1]
[5,6,7,4,1,2,3,8]=>[6,7,8,5,2,3,4,-1]
[5,6,4,7,1,2,3,8]=>[6,7,8,4,2,3,5,-1]
[4,6,5,1,7,2,3,8]=>[5,7,8,2,4,3,6,-1]
[3,6,5,1,2,7,4,8]=>[5,6,2,8,4,3,7,-1]
[6,5,3,1,4,7,2,8]=>[5,8,4,6,3,2,7,-1]
[5,4,3,6,1,2,7,8]=>[6,7,4,3,2,5,8,-1]
[5,4,6,3,1,2,7,8]=>[6,7,5,3,2,4,8,-1]
[5,6,4,3,1,2,7,8]=>[6,7,5,4,2,3,8,-1]
[1,6,4,7,3,8,2,5]=>[2,8,6,4,-1,3,5,7]
[1,3,7,4,5,8,2,6]=>[2,8,3,5,6,-1,4,7]
[1,7,6,3,4,8,2,5]=>[2,8,5,6,-1,4,3,7]
[8,1,6,3,7,2,4,5]=>[3,7,5,8,-1,4,6,2]
[7,1,6,3,8,2,4,5]=>[3,7,5,8,-1,4,2,6]
[1,2,7,4,8,3,5,6]=>[2,3,7,5,8,-1,4,6]
[6,1,7,3,4,8,2,5]=>[3,8,5,6,-1,2,4,7]
[2,1,7,4,5,8,3,6]=>[3,2,8,5,6,-1,4,7]
[5,1,4,7,3,8,2,6]=>[3,8,6,4,2,-1,5,7]
[4,3,1,7,5,8,2,6]=>[4,8,3,2,6,-1,5,7]
[2,8,6,3,7,1,4,5]=>[7,2,5,8,-1,4,6,3]
[6,8,1,3,7,2,4,5]=>[4,7,5,8,-1,2,6,3]
[5,8,2,1,7,3,4,6]=>[5,4,7,8,2,-1,6,3]
[5,7,2,1,8,3,4,6]=>[5,4,7,8,2,-1,3,6]
[6,7,1,3,8,2,4,5]=>[4,7,5,8,-1,2,3,6]
[2,7,1,8,3,4,5,6]=>[4,2,6,7,8,-1,3,5]
[6,1,2,8,3,4,5,7]=>[3,4,6,7,8,2,-1,5]
[6,5,1,3,4,8,2,7]=>[4,8,5,6,3,2,-1,7]
[1,6,2,4,8,3,5,7]=>[2,4,7,5,8,3,-1,6]
[8,5,1,3,7,2,4,6]=>[4,7,5,8,3,-1,6,2]
[1,5,3,2,8,4,6,7]=>[2,5,4,7,3,8,-1,6]
[6,4,2,1,5,8,3,7]=>[5,4,8,3,6,2,-1,7]
[2,6,4,8,7,1,3,5]=>[7,2,8,4,-1,3,6,5]
[1,6,4,8,7,2,3,5]=>[2,7,8,4,-1,3,6,5]
[2,7,8,3,6,1,4,5]=>[7,2,5,8,-1,6,3,4]
[4,3,2,8,7,1,5,6]=>[7,4,3,2,8,-1,6,5]
[5,2,4,8,7,1,3,6]=>[7,3,8,4,2,-1,6,5]
[6,2,8,3,7,1,4,5]=>[7,3,5,8,-1,2,6,4]
[5,1,4,8,7,2,3,6]=>[3,7,8,4,2,-1,6,5]
[1,2,3,4,8,6,7,5]=>[2,3,4,5,-1,7,8,6]
[1,2,6,4,5,7,8,3]=>[2,3,-1,5,6,4,7,8]
[1,5,3,4,6,7,8,2]=>[2,-1,4,5,3,6,7,8]
[2,4,1,6,3,7,5,8]=>[4,2,6,3,8,5,7,-1]
[2,4,1,5,3,7,6,8]=>[4,2,6,3,5,8,7,-1]
[2,3,1,5,4,7,6,8]=>[4,2,3,6,5,8,7,-1]
[2,4,1,6,3,7,8,5]=>[4,2,6,3,-1,5,7,8]
[2,4,1,5,3,8,6,7]=>[4,2,6,3,5,8,-1,7]
[2,3,1,6,4,7,5,8]=>[4,2,3,6,8,5,7,-1]
[2,4,1,5,3,6,8,7]=>[4,2,6,3,5,7,-1,8]
[2,4,1,6,7,8,3,5]=>[4,2,8,3,-1,5,6,7]
[2,3,1,6,4,8,5,7]=>[4,2,3,6,8,5,-1,7]
[2,3,1,7,4,8,5,6]=>[4,2,3,6,8,-1,5,7]
[4,3,6,5,8,7,2,1]=>[-1,8,3,2,5,4,7,6]
[5,3,6,8,4,7,2,1]=>[-1,8,3,6,2,4,7,5]
[3,2,6,5,4,8,7,1]=>[-1,3,2,6,5,4,8,7]
[3,7,2,5,4,8,6,1]=>[-1,4,2,6,5,8,3,7]
[8,4,2,5,7,3,6,1]=>[-1,4,7,3,5,8,6,2]
[4,7,2,5,8,3,6,1]=>[-1,4,7,2,5,8,3,6]
[4,2,6,5,8,3,7,1]=>[-1,3,7,2,5,4,8,6]
[5,2,6,8,4,3,7,1]=>[-1,3,7,6,2,4,8,5]
[3,1,6,5,4,8,2,7]=>[3,8,2,6,5,4,-1,7]
[4,1,6,5,8,3,2,7]=>[3,8,7,2,5,4,-1,6]
[5,1,6,8,4,3,2,7]=>[3,8,7,6,2,4,-1,5]
[6,5,8,7,4,3,2,1]=>[-1,8,7,6,3,2,5,4]
[7,8,5,6,4,3,2,1]=>[-1,8,7,6,4,5,2,3]
[8,5,4,7,6,3,2,1]=>[-1,8,7,4,3,6,5,2]
[8,6,7,4,5,3,2,1]=>[-1,8,7,5,6,3,4,2]
[7,8,6,4,5,3,2,1]=>[-1,8,7,5,6,4,2,3]
[5,7,1,8,4,3,2,6]=>[4,8,7,6,2,-1,3,5]
[2,7,1,5,4,3,8,6]=>[4,2,7,6,5,-1,3,8]
[8,2,1,5,4,3,7,6]=>[4,3,7,6,5,-1,8,2]
[8,4,1,5,7,3,2,6]=>[4,8,7,3,5,-1,6,2]
[8,5,6,7,1,3,2,4]=>[6,8,7,-1,3,4,5,2]
[8,4,6,1,7,3,2,5]=>[5,8,7,3,-1,4,6,2]
[8,3,6,1,4,7,2,5]=>[5,8,3,6,-1,4,7,2]
[2,7,6,1,4,3,8,5]=>[5,2,7,6,-1,4,3,8]
[6,7,8,5,1,3,2,4]=>[6,8,7,-1,5,2,3,4]
[8,6,7,5,3,4,2,1]=>[-1,8,6,7,5,3,4,2]
[5,7,6,8,2,3,4,1]=>[-1,6,7,8,2,4,3,5]
[5,7,2,8,4,3,6,1]=>[-1,4,7,6,2,8,3,5]
[6,7,8,2,4,3,5,1]=>[-1,5,7,6,8,2,3,4]
[4,7,6,2,8,3,5,1]=>[-1,5,7,2,8,4,3,6]
[8,3,6,2,4,7,5,1]=>[-1,5,3,6,8,4,7,2]
[3,7,6,2,4,8,5,1]=>[-1,5,2,6,8,4,3,7]
[6,7,8,3,4,5,2,1]=>[-1,8,5,6,7,2,3,4]
[5,7,3,8,4,6,2,1]=>[-1,8,4,6,2,7,3,5]
[4,7,3,5,8,6,2,1]=>[-1,8,4,2,5,7,3,6]
[8,7,2,1,4,3,6,5]=>[5,4,7,6,-1,8,3,2]
[8,7,3,1,4,6,2,5]=>[5,8,4,6,-1,7,3,2]
[8,7,6,3,2,5,4,1]=>[-1,6,5,8,7,4,3,2]
[8,7,6,4,5,2,3,1]=>[-1,7,8,5,6,4,3,2]
[8,7,3,5,1,6,2,4]=>[6,8,4,-1,5,7,3,2]
[8,7,2,5,1,3,6,4]=>[6,4,7,-1,5,8,3,2]
[8,2,6,5,1,3,7,4]=>[6,3,7,-1,5,4,8,2]
[8,4,6,5,7,1,2,3]=>[7,8,-1,3,5,4,6,2]
[8,7,5,6,4,2,3,1]=>[-1,7,8,6,4,5,3,2]
[7,8,6,5,4,2,3,1]=>[-1,7,8,6,5,4,2,3]
[5,7,6,8,4,1,2,3]=>[7,8,-1,6,2,4,3,5]
[4,7,6,5,8,1,2,3]=>[7,8,-1,2,5,4,3,6]
[3,7,6,5,1,8,2,4]=>[6,8,2,-1,5,4,3,7]
[8,7,6,4,5,3,1,2]=>[8,-1,7,5,6,4,3,2]
[8,6,7,5,4,3,1,2]=>[8,-1,7,6,5,3,4,2]
[5,4,3,2,7,6,-1,8]=>[-8,5,4,3,2,7,6,-1]
[6,4,3,7,2,5,-1,8]=>[-8,6,4,3,7,2,5,-1]
[7,4,3,6,5,2,-1,8]=>[-8,7,4,3,6,5,2,-1]
[8,4,3,6,5,-1,2,7]=>[-7,8,4,3,6,5,-1,2]
[-1,4,3,6,5,8,7,2]=>[-2,-1,4,3,6,5,8,7]
[-1,5,6,3,4,8,7,2]=>[-2,-1,5,6,3,4,8,7]
[8,5,6,3,4,-1,2,7]=>[-7,8,5,6,3,4,-1,2]
[7,5,6,3,4,2,-1,8]=>[-8,7,5,6,3,4,2,-1]
[6,5,7,3,2,4,-1,8]=>[-8,6,5,7,3,2,4,-1]
[3,2,7,6,5,4,-1,8]=>[-8,3,2,7,6,5,4,-1]
[4,7,2,6,5,3,-1,8]=>[-8,4,7,2,6,5,3,-1]
[5,7,6,2,4,3,-1,8]=>[-8,5,7,6,2,4,3,-1]
[6,7,5,4,2,3,-1,8]=>[-8,6,7,5,4,2,3,-1]
[7,6,5,4,3,2,-1,8]=>[-8,7,6,5,4,3,2,-1]
[8,6,5,4,3,-1,2,7]=>[-7,8,6,5,4,3,-1,2]
[-1,6,5,4,3,8,7,2]=>[-2,-1,6,5,4,3,8,7]
[-1,7,5,4,8,3,6,2]=>[-2,-1,7,5,4,8,3,6]
[8,7,5,4,-1,3,2,6]=>[-6,8,7,5,4,-1,3,2]
[7,8,5,4,-1,2,3,6]=>[-6,7,8,5,4,-1,2,3]
[6,8,5,4,2,-1,3,7]=>[-7,6,8,5,4,2,-1,3]
[5,8,6,2,4,-1,3,7]=>[-7,5,8,6,2,4,-1,3]
[4,8,2,6,5,-1,3,7]=>[-7,4,8,2,6,5,-1,3]
[3,2,8,6,5,-1,4,7]=>[-7,3,2,8,6,5,-1,4]
[3,2,-1,6,5,8,7,4]=>[-4,3,2,-1,6,5,8,7]
[4,-1,2,6,5,8,7,3]=>[-3,4,-1,2,6,5,8,7]
[5,-1,6,2,4,8,7,3]=>[-3,5,-1,6,2,4,8,7]
[6,-1,5,4,2,8,7,3]=>[-3,6,-1,5,4,2,8,7]
[7,-1,5,4,8,2,6,3]=>[-3,7,-1,5,4,8,2,6]
[8,-1,5,4,7,6,2,3]=>[-3,8,-1,5,4,7,6,2]
[-1,8,5,4,7,6,3,2]=>[-2,-1,8,5,4,7,6,3]
[-1,8,6,7,4,5,3,2]=>[-2,-1,8,6,7,4,5,3]
[8,-1,6,7,4,5,2,3]=>[-3,8,-1,6,7,4,5,2]
[7,-1,6,8,4,2,5,3]=>[-3,7,-1,6,8,4,2,5]
[6,-1,7,8,2,4,5,3]=>[-3,6,-1,7,8,2,4,5]
[5,-1,7,2,8,4,6,3]=>[-3,5,-1,7,2,8,4,6]
[4,-1,2,7,8,5,6,3]=>[-3,4,-1,2,7,8,5,6]
[3,2,-1,7,8,5,6,4]=>[-4,3,2,-1,7,8,5,6]
[3,2,8,7,-1,5,4,6]=>[-6,3,2,8,7,-1,5,4]
[4,8,2,7,-1,5,3,6]=>[-6,4,8,2,7,-1,5,3]
[5,8,7,2,-1,4,3,6]=>[-6,5,8,7,2,-1,4,3]
[6,8,7,-1,2,4,3,5]=>[-5,6,8,7,-1,2,4,3]
[7,8,6,-1,4,2,3,5]=>[-5,7,8,6,-1,4,2,3]
[8,7,6,-1,4,3,2,5]=>[-5,8,7,6,-1,4,3,2]
[-1,7,6,8,4,3,5,2]=>[-2,-1,7,6,8,4,3,5]
[-1,6,7,8,3,4,5,2]=>[-2,-1,6,7,8,3,4,5]
[8,6,7,-1,3,4,2,5]=>[-5,8,6,7,-1,3,4,2]
[7,6,8,-1,3,2,4,5]=>[-5,7,6,8,-1,3,2,4]
[6,5,8,3,2,-1,4,7]=>[-7,6,5,8,3,2,-1,4]
[7,5,8,3,-1,2,4,6]=>[-6,7,5,8,3,-1,2,4]
[8,5,7,3,-1,4,2,6]=>[-6,8,5,7,3,-1,4,2]
[-1,5,7,3,8,4,6,2]=>[-2,-1,5,7,3,8,4,6]
[-1,4,3,7,8,5,6,2]=>[-2,-1,4,3,7,8,5,6]
[8,4,3,7,-1,5,2,6]=>[-6,8,4,3,7,-1,5,2]
[7,4,3,8,-1,2,5,6]=>[-6,7,4,3,8,-1,2,5]
[6,4,3,8,2,-1,5,7]=>[-7,6,4,3,8,2,-1,5]
[5,4,3,2,8,-1,6,7]=>[-7,5,4,3,2,8,-1,6]
[3,2,5,4,-1,8,7,6]=>[-6,3,2,5,4,-1,8,7]
[4,5,2,3,-1,8,7,6]=>[-6,4,5,2,3,-1,8,7]
[5,4,3,2,-1,8,7,6]=>[-6,5,4,3,2,-1,8,7]
[6,4,3,-1,2,8,7,5]=>[-5,6,4,3,-1,2,8,7]
[7,4,3,-1,8,2,6,5]=>[-5,7,4,3,-1,8,2,6]
[8,4,3,-1,7,6,2,5]=>[-5,8,4,3,-1,7,6,2]
[-1,4,3,8,7,6,5,2]=>[-2,-1,4,3,8,7,6,5]
[-1,5,8,3,7,6,4,2]=>[-2,-1,5,8,3,7,6,4]
[8,5,-1,3,7,6,2,4]=>[-4,8,5,-1,3,7,6,2]
[7,5,-1,3,8,2,6,4]=>[-4,7,5,-1,3,8,2,6]
[6,5,-1,3,2,8,7,4]=>[-4,6,5,-1,3,2,8,7]
[5,6,-1,2,3,8,7,4]=>[-4,5,6,-1,2,3,8,7]
[4,6,2,-1,3,8,7,5]=>[-5,4,6,2,-1,3,8,7]
[3,2,6,-1,4,8,7,5]=>[-5,3,2,6,-1,4,8,7]
[3,2,7,-1,8,4,6,5]=>[-5,3,2,7,-1,8,4,6]
[4,7,2,-1,8,3,6,5]=>[-5,4,7,2,-1,8,3,6]
[5,7,-1,2,8,3,6,4]=>[-4,5,7,-1,2,8,3,6]
[6,7,-1,8,2,3,5,4]=>[-4,6,7,-1,8,2,3,5]
[7,6,-1,8,3,2,5,4]=>[-4,7,6,-1,8,3,2,5]
[8,6,-1,7,3,5,2,4]=>[-4,8,6,-1,7,3,5,2]
[-1,6,8,7,3,5,4,2]=>[-2,-1,6,8,7,3,5,4]
[-1,7,8,6,5,3,4,2]=>[-2,-1,7,8,6,5,3,4]
[8,7,-1,6,5,3,2,4]=>[-4,8,7,-1,6,5,3,2]
[7,8,-1,6,5,2,3,4]=>[-4,7,8,-1,6,5,2,3]
[6,8,-1,7,2,5,3,4]=>[-4,6,8,-1,7,2,5,3]
[5,8,-1,2,7,6,3,4]=>[-4,5,8,-1,2,7,6,3]
[4,8,2,-1,7,6,3,5]=>[-5,4,8,2,-1,7,6,3]
[3,2,8,-1,7,6,4,5]=>[-5,3,2,8,-1,7,6,4]
[3,2,-1,8,7,6,5,4]=>[-4,3,2,-1,8,7,6,5]
[4,-1,2,8,7,6,5,3]=>[-3,4,-1,2,8,7,6,5]
[5,-1,8,2,7,6,4,3]=>[-3,5,-1,8,2,7,6,4]
[6,-1,8,7,2,5,4,3]=>[-3,6,-1,8,7,2,5,4]
[7,-1,8,6,5,2,4,3]=>[-3,7,-1,8,6,5,2,4]
[8,-1,7,6,5,4,2,3]=>[-3,8,-1,7,6,5,4,2]
[-1,8,7,6,5,4,3,2]=>[-2,-1,8,7,6,5,4,3]
[6,8,2,4,5,7,1,3]=>[8,4,-1,5,6,2,7,3]
[3,7,8,4,5,2,6,1]=>[-1,7,2,5,6,8,3,4]
[7,8,1,4,5,3,6,2]=>[4,-1,7,5,6,8,2,3]
[3,8,7,4,1,6,5,2]=>[6,-1,2,5,8,7,4,3]
[4,8,3,6,1,5,7,2]=>[6,-1,4,2,7,5,8,3]
[5,8,3,1,6,4,7,2]=>[5,-1,4,7,2,6,8,3]
[5,8,1,4,7,6,3,2]=>[4,-1,8,5,2,7,6,3]
[9,8,7,6,5,4,3,2,1]=>[-1,9,8,7,6,5,4,3,2]
[8,9,7,6,5,4,3,2,1]=>[-1,9,8,7,6,5,4,2,3]
[8,7,9,6,5,4,3,2,1]=>[-1,9,8,7,6,5,3,2,4]
[8,7,6,9,5,4,3,2,1]=>[-1,9,8,7,6,4,3,2,5]
[8,7,6,5,9,4,3,2,1]=>[-1,9,8,7,5,4,3,2,6]
[8,7,6,5,4,9,3,2,1]=>[-1,9,8,6,5,4,3,2,7]
[8,7,6,5,4,3,9,2,1]=>[-1,9,7,6,5,4,3,2,8]
[8,7,6,5,4,3,2,9,1]=>[-1,8,7,6,5,4,3,2,9]
[8,7,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,3,2,-1]
[7,8,9,6,5,4,3,2,1]=>[-1,9,8,7,6,5,2,3,4]
[8,6,7,9,5,4,3,2,1]=>[-1,9,8,7,6,3,4,2,5]
[8,7,5,6,9,4,3,2,1]=>[-1,9,8,7,4,5,3,2,6]
[8,7,6,4,5,9,3,2,1]=>[-1,9,8,5,6,4,3,2,7]
[8,7,6,5,3,4,9,2,1]=>[-1,9,6,7,5,4,3,2,8]
[8,7,6,5,4,2,3,9,1]=>[-1,7,8,6,5,4,3,2,9]
[8,7,6,5,4,3,1,2,9]=>[8,9,7,6,5,4,3,2,-1]
[2,3,4,5,6,7,9,1,8]=>[9,2,3,4,5,6,7,-1,8]
[3,1,4,5,6,7,8,9,2]=>[3,-1,2,4,5,6,7,8,9]
[9,3,4,5,6,7,1,2,8]=>[8,9,3,4,5,6,7,-1,2]
[9,1,4,5,6,7,8,2,3]=>[3,9,-1,4,5,6,7,8,2]
[2,9,4,5,6,7,1,3,8]=>[8,2,9,4,5,6,7,-1,3]
[7,3,4,5,6,1,9,2,8]=>[7,9,3,4,5,6,2,-1,8]
[3,1,9,5,6,7,8,2,4]=>[3,9,2,-1,5,6,7,8,4]
[8,1,4,5,6,7,2,9,3]=>[3,8,-1,4,5,6,7,2,9]
[2,3,9,5,6,7,1,4,8]=>[8,2,3,9,5,6,7,-1,4]
[9,7,4,5,6,1,2,3,8]=>[7,8,9,4,5,6,3,-1,2]
[6,3,4,5,1,7,9,2,8]=>[6,9,3,4,5,2,7,-1,8]
[3,1,4,9,6,7,8,2,5]=>[3,9,2,4,-1,6,7,8,5]
[9,1,8,5,6,7,2,3,4]=>[3,8,9,-1,5,6,7,4,2]
[7,1,4,5,6,2,8,9,3]=>[3,7,-1,4,5,6,2,8,9]
[1,9,8,7,6,5,4,3,2]=>[2,-1,9,8,7,6,5,4,3]
[7,8,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,2,3,-1]
[1,8,9,7,6,5,4,3,2]=>[2,-1,9,8,7,6,5,3,4]
[7,6,8,5,4,3,2,1,9]=>[9,8,7,6,5,3,2,4,-1]
[6,8,7,5,4,3,2,1,9]=>[9,8,7,6,5,2,4,3,-1]
[1,8,7,9,6,5,4,3,2]=>[2,-1,9,8,7,6,4,3,5]
[1,7,9,8,6,5,4,3,2]=>[2,-1,9,8,7,6,3,5,4]
[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,8,-1,9]
[2,1,3,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,-1]
[8,1,2,3,4,5,6,9,7]=>[3,4,5,6,7,8,-1,2,9]
[2,9,1,3,4,5,6,7,8]=>[4,2,5,6,7,8,9,-1,3]
[1,8,2,3,4,5,6,9,7]=>[2,4,5,6,7,8,-1,3,9]
[7,1,2,3,4,5,6,9,8]=>[3,4,5,6,7,8,2,-1,9]
[2,1,9,3,4,5,6,7,8]=>[3,2,5,6,7,8,9,-1,4]
[2,8,1,3,4,5,6,7,9]=>[4,2,5,6,7,8,9,3,-1]
[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,-1]
[1,2,3,4,5,6,8,9,7]=>[2,3,4,5,6,7,-1,8,9]
[1,2,3,4,5,7,8,9,6]=>[2,3,4,5,6,-1,7,8,9]
[1,2,3,4,6,7,8,9,5]=>[2,3,4,5,-1,6,7,8,9]
[1,2,3,5,6,7,8,9,4]=>[2,3,4,-1,5,6,7,8,9]
[1,2,4,5,6,7,8,9,3]=>[2,3,-1,4,5,6,7,8,9]
[1,3,4,5,6,7,8,9,2]=>[2,-1,3,4,5,6,7,8,9]
[2,3,4,5,6,7,8,9,1]=>[-1,2,3,4,5,6,7,8,9]
[1,2,3,4,5,6,9,7,8]=>[2,3,4,5,6,7,9,-1,8]
[1,2,3,4,5,8,6,9,7]=>[2,3,4,5,6,8,-1,7,9]
[1,2,3,4,7,5,8,9,6]=>[2,3,4,5,7,-1,6,8,9]
[1,2,3,6,4,7,8,9,5]=>[2,3,4,6,-1,5,7,8,9]
[1,2,5,3,6,7,8,9,4]=>[2,3,5,-1,4,6,7,8,9]
[1,4,2,5,6,7,8,9,3]=>[2,4,-1,3,5,6,7,8,9]
[9,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,-1,2]
[8,9,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,-1,2,3]
[9,8,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,-1,3,2]
[7,8,9,1,2,3,4,5,6]=>[5,6,7,8,9,-1,2,3,4]
[9,7,8,1,2,3,4,5,6]=>[5,6,7,8,9,-1,3,4,2]
[9,8,7,1,2,3,4,5,6]=>[5,6,7,8,9,-1,4,3,2]
[6,7,8,9,1,2,3,4,5]=>[6,7,8,9,-1,2,3,4,5]
[9,6,7,8,1,2,3,4,5]=>[6,7,8,9,-1,3,4,5,2]
[8,9,6,7,1,2,3,4,5]=>[6,7,8,9,-1,4,5,2,3]
[9,8,6,7,1,2,3,4,5]=>[6,7,8,9,-1,4,5,3,2]
[9,8,7,6,1,2,3,4,5]=>[6,7,8,9,-1,5,4,3,2]
[9,5,6,7,8,1,2,3,4]=>[7,8,9,-1,3,4,5,6,2]
[8,9,5,6,7,1,2,3,4]=>[7,8,9,-1,4,5,6,2,3]
[9,8,5,6,7,1,2,3,4]=>[7,8,9,-1,4,5,6,3,2]
[9,7,8,5,6,1,2,3,4]=>[7,8,9,-1,5,6,3,4,2]
[9,8,7,5,6,1,2,3,4]=>[7,8,9,-1,5,6,4,3,2]
[9,8,7,6,5,1,2,3,4]=>[7,8,9,-1,6,5,4,3,2]
[7,8,9,4,5,6,1,2,3]=>[8,9,-1,5,6,7,2,3,4]
[9,7,8,4,5,6,1,2,3]=>[8,9,-1,5,6,7,3,4,2]
[9,8,7,4,5,6,1,2,3]=>[8,9,-1,5,6,7,4,3,2]
[8,9,6,7,4,5,1,2,3]=>[8,9,-1,6,7,4,5,2,3]
[9,8,6,7,4,5,1,2,3]=>[8,9,-1,6,7,4,5,3,2]
[9,8,7,6,4,5,1,2,3]=>[8,9,-1,6,7,5,4,3,2]
[9,8,7,6,5,4,1,2,3]=>[8,9,-1,7,6,5,4,3,2]
[9,7,8,5,6,3,4,1,2]=>[9,-1,7,8,5,6,3,4,2]
[9,8,7,5,6,3,4,1,2]=>[9,-1,7,8,5,6,4,3,2]
[9,8,7,6,5,3,4,1,2]=>[9,-1,7,8,6,5,4,3,2]
[9,8,7,6,5,4,3,1,2]=>[9,-1,8,7,6,5,4,3,2]
[1,2,3,4,5,6,9,8,7]=>[2,3,4,5,6,7,-1,9,8]
[1,2,3,4,5,8,7,9,6]=>[2,3,4,5,6,-1,8,7,9]
[1,2,3,4,7,6,8,9,5]=>[2,3,4,5,-1,7,6,8,9]
[1,2,3,6,5,7,8,9,4]=>[2,3,4,-1,6,5,7,8,9]
[1,2,5,4,6,7,8,9,3]=>[2,3,-1,5,4,6,7,8,9]
[1,4,3,5,6,7,8,9,2]=>[2,-1,4,3,5,6,7,8,9]
[3,2,4,5,6,7,8,9,1]=>[-1,3,2,4,5,6,7,8,9]
[9,1,2,3,4,5,8,6,7]=>[3,4,5,6,7,9,-1,8,2]
[9,1,2,3,4,8,5,6,7]=>[3,4,5,6,8,9,-1,7,2]
[8,1,2,3,9,4,5,6,7]=>[3,4,5,7,8,9,-1,2,6]
[9,1,2,8,3,4,5,6,7]=>[3,4,6,7,8,9,-1,5,2]
[9,1,8,2,3,4,5,6,7]=>[3,5,6,7,8,9,-1,4,2]
[7,1,2,3,4,5,8,9,6]=>[3,4,5,6,7,-1,2,8,9]
[6,1,2,3,4,9,8,5,7]=>[3,4,5,6,9,2,-1,8,7]
[5,1,2,3,9,8,4,6,7]=>[3,4,5,8,2,9,-1,7,6]
[4,1,2,8,9,3,5,6,7]=>[3,4,7,2,8,9,-1,5,6]
[3,1,9,8,2,4,5,6,7]=>[3,6,2,7,8,9,-1,5,4]
[2,9,8,1,3,4,5,6,7]=>[5,2,6,7,8,9,-1,4,3]
[9,1,2,3,4,7,8,5,6]=>[3,4,5,6,9,-1,7,8,2]
[9,1,2,3,6,8,4,5,7]=>[3,4,5,8,9,6,-1,7,2]
[6,1,2,3,4,7,8,9,5]=>[3,4,5,6,-1,2,7,8,9]
[8,1,2,5,9,3,4,6,7]=>[3,4,7,8,5,9,-1,2,6]
[5,1,2,3,6,9,8,4,7]=>[3,4,5,9,2,6,-1,8,7]
[9,1,4,8,2,3,5,6,7]=>[3,6,7,4,8,9,-1,5,2]
[4,1,2,5,9,8,3,6,7]=>[3,4,8,2,5,9,-1,7,6]
[9,3,8,1,2,4,5,6,7]=>[5,6,3,7,8,9,-1,4,2]
[3,1,4,8,9,2,5,6,7]=>[3,7,2,4,8,9,-1,5,6]
[2,3,9,8,1,4,5,6,7]=>[6,2,3,7,8,9,-1,5,4]
[3,4,1,2,5,6,7,8,9]=>[4,5,2,3,6,7,8,9,-1]
[3,2,1,4,5,6,7,8,9]=>[4,3,2,5,6,7,8,9,-1]
[4,5,6,1,2,3,7,8,9]=>[5,6,7,2,3,4,8,9,-1]
[4,2,5,1,3,6,7,8,9]=>[5,3,6,2,4,7,8,9,-1]
[4,3,2,1,5,6,7,8,9]=>[5,4,3,2,6,7,8,9,-1]
[5,6,7,8,1,2,3,4,9]=>[6,7,8,9,2,3,4,5,-1]
[5,2,6,7,1,3,4,8,9]=>[6,3,7,8,2,4,5,9,-1]
[5,6,3,4,1,2,7,8,9]=>[6,7,4,5,2,3,8,9,-1]
[5,3,2,6,1,4,7,8,9]=>[6,4,3,7,2,5,8,9,-1]
[5,4,3,2,1,6,7,8,9]=>[6,5,4,3,2,7,8,9,-1]
[6,2,7,8,9,1,3,4,5]=>[7,3,8,9,-1,2,4,5,6]
[6,7,3,4,8,1,2,5,9]=>[7,8,4,5,9,2,3,6,-1]
[6,3,2,7,8,1,4,5,9]=>[7,4,3,8,9,2,5,6,-1]
[6,4,7,2,5,1,3,8,9]=>[7,5,8,3,6,2,4,9,-1]
[6,4,3,2,7,1,5,8,9]=>[7,5,4,3,8,2,6,9,-1]
[6,5,4,3,2,1,7,8,9]=>[7,6,5,4,3,2,8,9,-1]
[7,4,8,2,5,9,1,3,6]=>[8,5,9,3,6,-1,2,4,7]
[7,4,3,2,8,9,1,5,6]=>[8,5,4,3,9,-1,2,6,7]
[7,8,5,6,3,4,1,2,9]=>[8,9,6,7,4,5,2,3,-1]
[7,5,3,8,2,6,1,4,9]=>[8,6,4,9,3,7,2,5,-1]
[7,5,4,3,2,8,1,6,9]=>[8,6,5,4,3,9,2,7,-1]
[7,6,5,4,3,2,1,8,9]=>[8,7,6,5,4,3,2,9,-1]
[8,6,9,4,7,2,5,1,3]=>[9,7,-1,5,8,3,6,2,4]
[8,6,4,3,9,2,7,1,5]=>[9,7,5,4,-1,3,8,2,6]
[8,6,5,4,3,2,9,1,7]=>[9,7,6,5,4,3,-1,2,8]
[8,7,6,4,5,3,2,1,9]=>[9,8,7,5,6,4,3,2,-1]
[1,9,8,7,5,6,4,3,2]=>[2,-1,9,8,6,7,5,4,3]
[8,7,5,4,6,3,2,1,9]=>[9,8,7,5,4,6,3,2,-1]
[8,7,4,6,5,3,2,1,9]=>[9,8,7,4,6,5,3,2,-1]
[1,9,8,6,5,7,4,3,2]=>[2,-1,9,8,6,5,7,4,3]
[1,9,8,5,7,6,4,3,2]=>[2,-1,9,8,5,7,6,4,3]
[8,1,2,3,4,5,6,7,9]=>[3,4,5,6,7,8,9,2,-1]
[1,9,2,3,4,5,6,7,8]=>[2,4,5,6,7,8,9,-1,3]
[7,8,1,2,3,4,5,6,9]=>[4,5,6,7,8,9,2,3,-1]
[1,8,9,2,3,4,5,6,7]=>[2,5,6,7,8,9,-1,3,4]
[7,1,8,2,3,4,5,6,9]=>[3,5,6,7,8,9,2,4,-1]
[6,8,1,2,3,4,5,7,9]=>[4,5,6,7,8,2,9,3,-1]
[1,8,2,9,3,4,5,6,7]=>[2,4,6,7,8,9,-1,3,5]
[1,7,9,2,3,4,5,6,8]=>[2,5,6,7,8,9,3,-1,4]
[2,3,4,5,6,7,8,1,9]=>[9,2,3,4,5,6,7,8,-1]
[2,3,4,5,6,8,9,1,7]=>[9,2,3,4,5,6,-1,7,8]
[2,3,4,5,7,8,9,1,6]=>[9,2,3,4,5,-1,6,7,8]
[2,3,4,6,7,8,9,1,5]=>[9,2,3,4,-1,5,6,7,8]
[2,3,5,6,7,8,9,1,4]=>[9,2,3,-1,4,5,6,7,8]
[2,4,5,6,7,8,9,1,3]=>[9,2,-1,3,4,5,6,7,8]
[3,4,5,6,7,8,9,1,2]=>[9,-1,2,3,4,5,6,7,8]
[2,3,4,5,6,7,1,8,9]=>[8,2,3,4,5,6,7,9,-1]
[2,3,4,5,6,1,9,7,8]=>[7,2,3,4,5,6,9,-1,8]
[2,3,4,5,1,8,9,6,7]=>[6,2,3,4,5,9,-1,7,8]
[2,3,4,1,7,8,9,5,6]=>[5,2,3,4,9,-1,6,7,8]
[2,3,1,6,7,8,9,4,5]=>[4,2,3,9,-1,5,6,7,8]
[2,1,5,6,7,8,9,3,4]=>[3,2,9,-1,4,5,6,7,8]
[1,4,5,6,7,8,9,2,3]=>[2,9,-1,3,4,5,6,7,8]
[9,2,1,3,4,5,6,7,8]=>[4,3,5,6,7,8,9,-1,2]
[9,3,1,2,4,5,6,7,8]=>[4,5,3,6,7,8,9,-1,2]
[9,2,3,1,4,5,6,7,8]=>[5,3,4,6,7,8,9,-1,2]
[4,2,3,5,6,7,8,9,1]=>[-1,3,4,2,5,6,7,8,9]
[3,4,2,5,6,7,8,9,1]=>[-1,4,2,3,5,6,7,8,9]
[7,1,2,3,4,5,6,8,9]=>[3,4,5,6,7,8,2,9,-1]
[2,1,4,3,6,5,8,7,9]=>[3,2,5,4,7,6,9,8,-1]
[2,4,1,3,6,5,8,7,9]=>[4,2,5,3,7,6,9,8,-1]
[2,4,1,6,3,5,8,7,9]=>[4,2,6,3,7,5,9,8,-1]
[2,4,1,6,3,8,5,7,9]=>[4,2,6,3,8,5,9,7,-1]
[2,4,1,6,3,8,5,9,7]=>[4,2,6,3,8,5,-1,7,9]
[2,4,1,6,3,7,5,9,8]=>[4,2,6,3,8,5,7,-1,9]
[2,4,1,5,3,7,6,9,8]=>[4,2,6,3,5,8,7,-1,9]
[2,3,1,5,4,7,6,9,8]=>[4,2,3,6,5,8,7,-1,9]
[1,3,2,5,4,7,6,9,8]=>[2,4,3,6,5,8,7,-1,9]
[2,4,6,1,3,5,8,7,9]=>[5,2,6,3,7,4,9,8,-1]
[2,4,1,6,8,3,5,7,9]=>[4,2,7,3,8,5,9,6,-1]
[2,4,1,6,3,8,9,5,7]=>[4,2,6,3,9,5,-1,7,8]
[2,4,1,6,3,7,5,8,9]=>[4,2,6,3,8,5,7,9,-1]
[2,4,1,5,3,8,6,9,7]=>[4,2,6,3,5,8,-1,7,9]
[2,3,1,6,4,7,5,9,8]=>[4,2,3,6,8,5,7,-1,9]
[1,4,2,5,3,7,6,9,8]=>[2,4,6,3,5,8,7,-1,9]
[10,9,8,7,6,5,4,3,2,1]=>[-1,10,9,8,7,6,5,4,3,2]
[9,10,8,7,6,5,4,3,2,1]=>[-1,10,9,8,7,6,5,4,2,3]
[9,8,10,7,6,5,4,3,2,1]=>[-1,10,9,8,7,6,5,3,2,4]
[9,8,7,10,6,5,4,3,2,1]=>[-1,10,9,8,7,6,4,3,2,5]
[9,8,7,6,10,5,4,3,2,1]=>[-1,10,9,8,7,5,4,3,2,6]
[9,8,7,6,5,10,4,3,2,1]=>[-1,10,9,8,6,5,4,3,2,7]
[9,8,7,6,5,4,10,3,2,1]=>[-1,10,9,7,6,5,4,3,2,8]
[9,8,7,6,5,4,3,10,2,1]=>[-1,10,8,7,6,5,4,3,2,9]
[9,8,7,6,5,4,3,2,10,1]=>[-1,9,8,7,6,5,4,3,2,10]
[9,8,7,6,5,4,3,2,1,10]=>[10,9,8,7,6,5,4,3,2,-1]
[2,3,4,5,6,7,8,10,1,9]=>[10,2,3,4,5,6,7,8,-1,9]
[3,1,4,5,6,7,8,9,10,2]=>[3,-1,2,4,5,6,7,8,9,10]
[10,3,4,5,6,7,8,1,2,9]=>[9,10,3,4,5,6,7,8,-1,2]
[10,1,4,5,6,7,8,9,2,3]=>[3,10,-1,4,5,6,7,8,9,2]
[2,10,4,5,6,7,8,1,3,9]=>[9,2,10,4,5,6,7,8,-1,3]
[8,3,4,5,6,7,1,10,2,9]=>[8,10,3,4,5,6,7,2,-1,9]
[3,1,10,5,6,7,8,9,2,4]=>[3,10,2,-1,5,6,7,8,9,4]
[9,1,4,5,6,7,8,2,10,3]=>[3,9,-1,4,5,6,7,8,2,10]
[2,1,4,3,6,5,8,7,10,9]=>[3,2,5,4,7,6,9,8,-1,10]
[2,1,4,3,6,5,9,10,8,7]=>[3,2,5,4,7,6,-1,10,8,9]
[2,1,4,3,7,8,6,5,10,9]=>[3,2,5,4,9,8,6,7,-1,10]
[2,1,4,3,7,9,6,10,8,5]=>[3,2,5,4,-1,8,6,10,7,9]
[2,1,4,3,8,9,10,7,6,5]=>[3,2,5,4,-1,10,9,6,7,8]
[2,1,5,6,4,3,8,7,10,9]=>[3,2,7,6,4,5,9,8,-1,10]
[2,1,5,6,4,3,9,10,8,7]=>[3,2,7,6,4,5,-1,10,8,9]
[2,1,5,7,4,8,6,3,10,9]=>[3,2,9,6,4,8,5,7,-1,10]
[2,1,5,7,4,9,6,10,8,3]=>[3,2,-1,6,4,8,5,10,7,9]
[2,1,5,8,4,9,10,7,6,3]=>[3,2,-1,6,4,10,9,5,7,8]
[2,1,6,7,8,5,4,3,10,9]=>[3,2,9,8,7,4,5,6,-1,10]
[2,1,6,7,9,5,4,10,8,3]=>[3,2,-1,8,7,4,5,10,6,9]
[2,1,6,8,9,5,10,7,4,3]=>[3,2,-1,10,7,4,9,5,6,8]
[2,1,7,8,9,10,6,5,4,3]=>[3,2,-1,10,9,8,4,5,6,7]
[3,4,2,1,6,5,8,7,10,9]=>[5,4,2,3,7,6,9,8,-1,10]
[3,4,2,1,6,5,9,10,8,7]=>[5,4,2,3,7,6,-1,10,8,9]
[3,4,2,1,7,8,6,5,10,9]=>[5,4,2,3,9,8,6,7,-1,10]
[3,4,2,1,7,9,6,10,8,5]=>[5,4,2,3,-1,8,6,10,7,9]
[3,4,2,1,8,9,10,7,6,5]=>[5,4,2,3,-1,10,9,6,7,8]
[3,5,2,6,4,1,8,7,10,9]=>[7,4,2,6,3,5,9,8,-1,10]
[3,5,2,6,4,1,9,10,8,7]=>[7,4,2,6,3,5,-1,10,8,9]
[3,5,2,7,4,8,6,1,10,9]=>[9,4,2,6,3,8,5,7,-1,10]
[3,5,2,7,4,9,6,10,8,1]=>[-1,4,2,6,3,8,5,10,7,9]
[3,5,2,8,4,9,10,7,6,1]=>[-1,4,2,6,3,10,9,5,7,8]
[3,6,2,7,8,5,4,1,10,9]=>[9,4,2,8,7,3,5,6,-1,10]
[3,6,2,7,9,5,4,10,8,1]=>[-1,4,2,8,7,3,5,10,6,9]
[3,6,2,8,9,5,10,7,4,1]=>[-1,4,2,10,7,3,9,5,6,8]
[3,7,2,8,9,10,6,5,4,1]=>[-1,4,2,10,9,8,3,5,6,7]
[4,5,6,3,2,1,8,7,10,9]=>[7,6,5,2,3,4,9,8,-1,10]
[4,5,6,3,2,1,9,10,8,7]=>[7,6,5,2,3,4,-1,10,8,9]
[4,5,7,3,2,8,6,1,10,9]=>[9,6,5,2,3,8,4,7,-1,10]
[4,5,7,3,2,9,6,10,8,1]=>[-1,6,5,2,3,8,4,10,7,9]
[4,5,8,3,2,9,10,7,6,1]=>[-1,6,5,2,3,10,9,4,7,8]
[4,6,7,3,8,5,2,1,10,9]=>[9,8,5,2,7,3,4,6,-1,10]
[4,6,7,3,9,5,2,10,8,1]=>[-1,8,5,2,7,3,4,10,6,9]
[4,6,8,3,9,5,10,7,2,1]=>[-1,10,5,2,7,3,9,4,6,8]
[4,7,8,3,9,10,6,5,2,1]=>[-1,10,5,2,9,8,3,4,6,7]
[5,6,7,8,4,3,2,1,10,9]=>[9,8,7,6,2,3,4,5,-1,10]
[5,6,7,9,4,3,2,10,8,1]=>[-1,8,7,6,2,3,4,10,5,9]
[5,6,8,9,4,3,10,7,2,1]=>[-1,10,7,6,2,3,9,4,5,8]
[5,7,8,9,4,10,6,3,2,1]=>[-1,10,9,6,2,8,3,4,5,7]
[6,7,8,9,10,5,4,3,2,1]=>[-1,10,9,8,7,2,3,4,5,6]
[2,1,4,3,6,5,10,9,8,7]=>[3,2,5,4,7,6,-1,10,9,8]
[2,1,4,3,8,7,6,5,10,9]=>[3,2,5,4,9,8,7,6,-1,10]
[2,1,4,3,10,7,6,9,8,5]=>[3,2,5,4,-1,8,7,10,9,6]
[2,1,4,3,10,9,8,7,6,5]=>[3,2,5,4,-1,10,9,8,7,6]
[2,1,6,5,4,3,8,7,10,9]=>[3,2,7,6,5,4,9,8,-1,10]
[2,1,6,5,4,3,10,9,8,7]=>[3,2,7,6,5,4,-1,10,9,8]
[2,1,8,5,4,7,6,3,10,9]=>[3,2,9,6,5,8,7,4,-1,10]
[2,1,10,5,4,7,6,9,8,3]=>[3,2,-1,6,5,8,7,10,9,4]
[2,1,10,5,4,9,8,7,6,3]=>[3,2,-1,6,5,10,9,8,7,4]
[2,1,8,7,6,5,4,3,10,9]=>[3,2,9,8,7,6,5,4,-1,10]
[2,1,10,7,6,5,4,9,8,3]=>[3,2,-1,8,7,6,5,10,9,4]
[2,1,10,9,6,5,8,7,4,3]=>[3,2,-1,10,7,6,9,8,5,4]
[2,1,10,9,8,7,6,5,4,3]=>[3,2,-1,10,9,8,7,6,5,4]
[4,3,2,1,6,5,8,7,10,9]=>[5,4,3,2,7,6,9,8,-1,10]
[4,3,2,1,6,5,10,9,8,7]=>[5,4,3,2,7,6,-1,10,9,8]
[4,3,2,1,8,7,6,5,10,9]=>[5,4,3,2,9,8,7,6,-1,10]
[4,3,2,1,10,7,6,9,8,5]=>[5,4,3,2,-1,8,7,10,9,6]
[4,3,2,1,10,9,8,7,6,5]=>[5,4,3,2,-1,10,9,8,7,6]
[6,3,2,5,4,1,8,7,10,9]=>[7,4,3,6,5,2,9,8,-1,10]
[6,3,2,5,4,1,10,9,8,7]=>[7,4,3,6,5,2,-1,10,9,8]
[8,3,2,5,4,7,6,1,10,9]=>[9,4,3,6,5,8,7,2,-1,10]
[10,3,2,5,4,7,6,9,8,1]=>[-1,4,3,6,5,8,7,10,9,2]
[10,3,2,5,4,9,8,7,6,1]=>[-1,4,3,6,5,10,9,8,7,2]
[8,3,2,7,6,5,4,1,10,9]=>[9,4,3,8,7,6,5,2,-1,10]
[10,3,2,7,6,5,4,9,8,1]=>[-1,4,3,8,7,6,5,10,9,2]
[10,3,2,9,6,5,8,7,4,1]=>[-1,4,3,10,7,6,9,8,5,2]
[10,3,2,9,8,7,6,5,4,1]=>[-1,4,3,10,9,8,7,6,5,2]
[6,5,4,3,2,1,8,7,10,9]=>[7,6,5,4,3,2,9,8,-1,10]
[6,5,4,3,2,1,10,9,8,7]=>[7,6,5,4,3,2,-1,10,9,8]
[8,5,4,3,2,7,6,1,10,9]=>[9,6,5,4,3,8,7,2,-1,10]
[10,5,4,3,2,7,6,9,8,1]=>[-1,6,5,4,3,8,7,10,9,2]
[10,5,4,3,2,9,8,7,6,1]=>[-1,6,5,4,3,10,9,8,7,2]
[8,7,4,3,6,5,2,1,10,9]=>[9,8,5,4,7,6,3,2,-1,10]
[10,7,4,3,6,5,2,9,8,1]=>[-1,8,5,4,7,6,3,10,9,2]
[10,9,4,3,6,5,8,7,2,1]=>[-1,10,5,4,7,6,9,8,3,2]
[10,9,4,3,8,7,6,5,2,1]=>[-1,10,5,4,9,8,7,6,3,2]
[8,7,6,5,4,3,2,1,10,9]=>[9,8,7,6,5,4,3,2,-1,10]
[10,7,6,5,4,3,2,9,8,1]=>[-1,8,7,6,5,4,3,10,9,2]
[10,9,6,5,4,3,8,7,2,1]=>[-1,10,7,6,5,4,9,8,3,2]
[10,9,8,5,4,7,6,3,2,1]=>[-1,10,9,6,5,8,7,4,3,2]
[1,10,9,8,7,6,5,4,3,2]=>[2,-1,10,9,8,7,6,5,4,3]
[8,9,7,6,5,4,3,2,1,10]=>[10,9,8,7,6,5,4,2,3,-1]
[1,9,10,8,7,6,5,4,3,2]=>[2,-1,10,9,8,7,6,5,3,4]
[10,8,9,5,6,7,1,2,3,4]=>[8,9,10,-1,5,6,7,3,4,2]
[10,8,9,4,5,6,1,2,3,7]=>[8,9,10,5,6,7,-1,3,4,2]
[10,7,8,5,6,9,1,2,3,4]=>[8,9,10,-1,5,6,3,4,7,2]
[10,7,8,4,5,9,1,2,3,6]=>[8,9,10,5,6,-1,3,4,7,2]
[10,6,7,4,5,8,1,2,3,9]=>[8,9,10,5,6,3,4,7,-1,2]
[10,7,8,3,4,9,1,2,5,6]=>[8,9,5,6,10,-1,3,4,7,2]
[10,6,7,3,4,8,1,2,5,9]=>[8,9,5,6,10,3,4,7,-1,2]
[9,8,10,5,6,7,1,2,3,4]=>[8,9,10,-1,5,6,7,3,2,4]
[9,8,10,4,5,6,1,2,3,7]=>[8,9,10,5,6,7,-1,3,2,4]
[9,7,10,5,6,8,1,2,3,4]=>[8,9,10,-1,5,6,3,7,2,4]
[9,7,10,4,5,8,1,2,3,6]=>[8,9,10,5,6,-1,3,7,2,4]
[9,6,10,4,5,7,1,2,3,8]=>[8,9,10,5,6,3,7,-1,2,4]
[9,7,10,3,4,8,1,2,5,6]=>[8,9,5,6,10,-1,3,7,2,4]
[9,6,10,3,4,7,1,2,5,8]=>[8,9,5,6,10,3,7,-1,2,4]
[8,7,9,5,6,10,1,2,3,4]=>[8,9,10,-1,5,6,3,2,4,7]
[8,7,9,4,5,10,1,2,3,6]=>[8,9,10,5,6,-1,3,2,4,7]
[8,6,9,4,5,10,1,2,3,7]=>[8,9,10,5,6,3,-1,2,4,7]
[7,6,8,4,5,9,1,2,3,10]=>[8,9,10,5,6,3,2,4,7,-1]
[8,7,9,3,4,10,1,2,5,6]=>[8,9,5,6,10,-1,3,2,4,7]
[8,6,9,3,4,10,1,2,5,7]=>[8,9,5,6,10,3,-1,2,4,7]
[7,6,8,3,4,9,1,2,5,10]=>[8,9,5,6,10,3,2,4,7,-1]
[9,6,10,5,7,8,1,2,3,4]=>[8,9,10,-1,5,3,6,7,2,4]
[9,6,10,4,7,8,1,2,3,5]=>[8,9,10,5,-1,3,6,7,2,4]
[9,5,10,4,6,7,1,2,3,8]=>[8,9,10,5,3,6,7,-1,2,4]
[9,6,10,3,7,8,1,2,4,5]=>[8,9,5,10,-1,3,6,7,2,4]
[9,5,10,3,6,7,1,2,4,8]=>[8,9,5,10,3,6,7,-1,2,4]
[8,6,9,5,7,10,1,2,3,4]=>[8,9,10,-1,5,3,6,2,4,7]
[8,6,9,4,7,10,1,2,3,5]=>[8,9,10,5,-1,3,6,2,4,7]
[8,5,9,4,6,10,1,2,3,7]=>[8,9,10,5,3,6,-1,2,4,7]
[7,5,8,4,6,9,1,2,3,10]=>[8,9,10,5,3,6,2,4,7,-1]
[8,6,9,3,7,10,1,2,4,5]=>[8,9,5,10,-1,3,6,2,4,7]
[8,5,9,3,6,10,1,2,4,7]=>[8,9,5,10,3,6,-1,2,4,7]
[7,5,8,3,6,9,1,2,4,10]=>[8,9,5,10,3,6,2,4,7,-1]
[8,4,9,3,5,10,1,2,6,7]=>[8,9,5,3,6,10,-1,2,4,7]
[7,4,8,3,5,9,1,2,6,10]=>[8,9,5,3,6,10,2,4,7,-1]
[9,6,10,2,7,8,1,3,4,5]=>[8,5,9,10,-1,3,6,7,2,4]
[9,5,10,2,6,7,1,3,4,8]=>[8,5,9,10,3,6,7,-1,2,4]
[8,6,9,2,7,10,1,3,4,5]=>[8,5,9,10,-1,3,6,2,4,7]
[8,5,9,2,6,10,1,3,4,7]=>[8,5,9,10,3,6,-1,2,4,7]
[7,5,8,2,6,9,1,3,4,10]=>[8,5,9,10,3,6,2,4,7,-1]
[8,4,9,2,5,10,1,3,6,7]=>[8,5,9,3,6,10,-1,2,4,7]
[7,4,8,2,5,9,1,3,6,10]=>[8,5,9,3,6,10,2,4,7,-1]
[2,4,6,8,10,1,3,5,7,9]=>[7,2,8,3,9,4,10,5,-1,6]
[2,4,6,9,10,1,3,5,7,8]=>[7,2,8,3,9,4,10,-1,5,6]
[2,4,7,8,10,1,3,5,6,9]=>[7,2,8,3,9,10,4,5,-1,6]
[2,4,7,9,10,1,3,5,6,8]=>[7,2,8,3,9,10,4,-1,5,6]
[2,4,8,9,10,1,3,5,6,7]=>[7,2,8,3,9,10,-1,4,5,6]
[2,5,6,8,10,1,3,4,7,9]=>[7,2,8,9,3,4,10,5,-1,6]
[2,5,6,9,10,1,3,4,7,8]=>[7,2,8,9,3,4,10,-1,5,6]
[2,5,7,8,10,1,3,4,6,9]=>[7,2,8,9,3,10,4,5,-1,6]
[2,5,7,9,10,1,3,4,6,8]=>[7,2,8,9,3,10,4,-1,5,6]
[2,5,8,9,10,1,3,4,6,7]=>[7,2,8,9,3,10,-1,4,5,6]
[2,6,7,8,10,1,3,4,5,9]=>[7,2,8,9,10,3,4,5,-1,6]
[2,6,7,9,10,1,3,4,5,8]=>[7,2,8,9,10,3,4,-1,5,6]
[2,6,8,9,10,1,3,4,5,7]=>[7,2,8,9,10,3,-1,4,5,6]
[2,7,8,9,10,1,3,4,5,6]=>[7,2,8,9,10,-1,3,4,5,6]
[3,4,6,8,10,1,2,5,7,9]=>[7,8,2,3,9,4,10,5,-1,6]
[3,4,6,9,10,1,2,5,7,8]=>[7,8,2,3,9,4,10,-1,5,6]
[3,4,7,8,10,1,2,5,6,9]=>[7,8,2,3,9,10,4,5,-1,6]
[3,4,7,9,10,1,2,5,6,8]=>[7,8,2,3,9,10,4,-1,5,6]
[3,4,8,9,10,1,2,5,6,7]=>[7,8,2,3,9,10,-1,4,5,6]
[3,5,6,8,10,1,2,4,7,9]=>[7,8,2,9,3,4,10,5,-1,6]
[3,5,6,9,10,1,2,4,7,8]=>[7,8,2,9,3,4,10,-1,5,6]
[3,5,7,8,10,1,2,4,6,9]=>[7,8,2,9,3,10,4,5,-1,6]
[3,5,7,9,10,1,2,4,6,8]=>[7,8,2,9,3,10,4,-1,5,6]
[3,5,8,9,10,1,2,4,6,7]=>[7,8,2,9,3,10,-1,4,5,6]
[3,6,7,8,10,1,2,4,5,9]=>[7,8,2,9,10,3,4,5,-1,6]
[3,6,7,9,10,1,2,4,5,8]=>[7,8,2,9,10,3,4,-1,5,6]
[3,6,8,9,10,1,2,4,5,7]=>[7,8,2,9,10,3,-1,4,5,6]
[3,7,8,9,10,1,2,4,5,6]=>[7,8,2,9,10,-1,3,4,5,6]
[4,5,6,8,10,1,2,3,7,9]=>[7,8,9,2,3,4,10,5,-1,6]
[4,5,6,9,10,1,2,3,7,8]=>[7,8,9,2,3,4,10,-1,5,6]
[4,5,7,8,10,1,2,3,6,9]=>[7,8,9,2,3,10,4,5,-1,6]
[4,5,7,9,10,1,2,3,6,8]=>[7,8,9,2,3,10,4,-1,5,6]
[4,5,8,9,10,1,2,3,6,7]=>[7,8,9,2,3,10,-1,4,5,6]
[4,6,7,8,10,1,2,3,5,9]=>[7,8,9,2,10,3,4,5,-1,6]
[4,6,7,9,10,1,2,3,5,8]=>[7,8,9,2,10,3,4,-1,5,6]
[4,6,8,9,10,1,2,3,5,7]=>[7,8,9,2,10,3,-1,4,5,6]
[4,7,8,9,10,1,2,3,5,6]=>[7,8,9,2,10,-1,3,4,5,6]
[5,6,7,8,10,1,2,3,4,9]=>[7,8,9,10,2,3,4,5,-1,6]
[5,6,7,9,10,1,2,3,4,8]=>[7,8,9,10,2,3,4,-1,5,6]
[5,6,8,9,10,1,2,3,4,7]=>[7,8,9,10,2,3,-1,4,5,6]
[5,7,8,9,10,1,2,3,4,6]=>[7,8,9,10,2,-1,3,4,5,6]
[6,7,8,9,10,1,2,3,4,5]=>[7,8,9,10,-1,2,3,4,5,6]
[1,2,3,4,5,6,7,8,10,9]=>[2,3,4,5,6,7,8,9,-1,10]
[2,1,3,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,-1]
[9,1,2,3,4,5,6,7,10,8]=>[3,4,5,6,7,8,9,-1,2,10]
[2,10,1,3,4,5,6,7,8,9]=>[4,2,5,6,7,8,9,10,-1,3]
[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,-1]
[1,2,3,4,5,6,7,9,10,8]=>[2,3,4,5,6,7,8,-1,9,10]
[1,2,3,4,5,6,8,9,10,7]=>[2,3,4,5,6,7,-1,8,9,10]
[1,2,3,4,5,7,8,9,10,6]=>[2,3,4,5,6,-1,7,8,9,10]
[1,2,3,4,6,7,8,9,10,5]=>[2,3,4,5,-1,6,7,8,9,10]
[1,2,3,5,6,7,8,9,10,4]=>[2,3,4,-1,5,6,7,8,9,10]
[1,2,4,5,6,7,8,9,10,3]=>[2,3,-1,4,5,6,7,8,9,10]
[1,3,4,5,6,7,8,9,10,2]=>[2,-1,3,4,5,6,7,8,9,10]
[2,3,4,5,6,7,8,9,10,1]=>[-1,2,3,4,5,6,7,8,9,10]
[10,1,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,-1,2]
[9,10,1,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,-1,2,3]
[10,9,1,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,-1,3,2]
[8,9,10,1,2,3,4,5,6,7]=>[5,6,7,8,9,10,-1,2,3,4]
[10,8,9,1,2,3,4,5,6,7]=>[5,6,7,8,9,10,-1,3,4,2]
[10,9,8,1,2,3,4,5,6,7]=>[5,6,7,8,9,10,-1,4,3,2]
[7,8,9,10,1,2,3,4,5,6]=>[6,7,8,9,10,-1,2,3,4,5]
[10,7,8,9,1,2,3,4,5,6]=>[6,7,8,9,10,-1,3,4,5,2]
[9,10,7,8,1,2,3,4,5,6]=>[6,7,8,9,10,-1,4,5,2,3]
[10,9,7,8,1,2,3,4,5,6]=>[6,7,8,9,10,-1,4,5,3,2]
[10,9,8,7,1,2,3,4,5,6]=>[6,7,8,9,10,-1,5,4,3,2]
[10,6,7,8,9,1,2,3,4,5]=>[7,8,9,10,-1,3,4,5,6,2]
[9,10,6,7,8,1,2,3,4,5]=>[7,8,9,10,-1,4,5,6,2,3]
[10,9,6,7,8,1,2,3,4,5]=>[7,8,9,10,-1,4,5,6,3,2]
[10,8,9,6,7,1,2,3,4,5]=>[7,8,9,10,-1,5,6,3,4,2]
[10,9,8,6,7,1,2,3,4,5]=>[7,8,9,10,-1,5,6,4,3,2]
[10,9,8,7,6,1,2,3,4,5]=>[7,8,9,10,-1,6,5,4,3,2]
[9,10,5,6,7,8,1,2,3,4]=>[8,9,10,-1,4,5,6,7,2,3]
[10,9,5,6,7,8,1,2,3,4]=>[8,9,10,-1,4,5,6,7,3,2]
[8,9,10,5,6,7,1,2,3,4]=>[8,9,10,-1,5,6,7,2,3,4]
[10,9,8,5,6,7,1,2,3,4]=>[8,9,10,-1,5,6,7,4,3,2]
[9,10,7,8,5,6,1,2,3,4]=>[8,9,10,-1,6,7,4,5,2,3]
[10,9,7,8,5,6,1,2,3,4]=>[8,9,10,-1,6,7,4,5,3,2]
[10,9,8,7,5,6,1,2,3,4]=>[8,9,10,-1,6,7,5,4,3,2]
[10,9,8,7,6,5,1,2,3,4]=>[8,9,10,-1,7,6,5,4,3,2]
[10,7,8,9,4,5,6,1,2,3]=>[9,10,-1,6,7,8,3,4,5,2]
[9,10,7,8,4,5,6,1,2,3]=>[9,10,-1,6,7,8,4,5,2,3]
[10,9,7,8,4,5,6,1,2,3]=>[9,10,-1,6,7,8,4,5,3,2]
[10,9,8,7,4,5,6,1,2,3]=>[9,10,-1,6,7,8,5,4,3,2]
[10,8,9,6,7,4,5,1,2,3]=>[9,10,-1,7,8,5,6,3,4,2]
[10,9,8,6,7,4,5,1,2,3]=>[9,10,-1,7,8,5,6,4,3,2]
[10,9,8,7,6,4,5,1,2,3]=>[9,10,-1,7,8,6,5,4,3,2]
[10,9,8,7,6,5,4,1,2,3]=>[9,10,-1,8,7,6,5,4,3,2]
[9,10,7,8,5,6,3,4,1,2]=>[10,-1,8,9,6,7,4,5,2,3]
[10,9,7,8,5,6,3,4,1,2]=>[10,-1,8,9,6,7,4,5,3,2]
[10,9,8,7,5,6,3,4,1,2]=>[10,-1,8,9,6,7,5,4,3,2]
[10,9,8,7,6,5,3,4,1,2]=>[10,-1,8,9,7,6,5,4,3,2]
[10,9,8,7,6,5,4,3,1,2]=>[10,-1,9,8,7,6,5,4,3,2]
[10,1,2,3,4,5,6,9,7,8]=>[3,4,5,6,7,8,10,-1,9,2]
[10,1,2,3,4,5,9,6,7,8]=>[3,4,5,6,7,9,10,-1,8,2]
[9,1,2,3,4,10,5,6,7,8]=>[3,4,5,6,8,9,10,-1,2,7]
[10,1,2,3,9,4,5,6,7,8]=>[3,4,5,7,8,9,10,-1,6,2]
[10,1,2,9,3,4,5,6,7,8]=>[3,4,6,7,8,9,10,-1,5,2]
[9,1,10,2,3,4,5,6,7,8]=>[3,5,6,7,8,9,10,-1,2,4]
[8,1,2,3,4,5,6,9,10,7]=>[3,4,5,6,7,8,-1,2,9,10]
[7,1,2,3,4,5,10,9,6,8]=>[3,4,5,6,7,10,2,-1,9,8]
[6,1,2,3,4,10,9,5,7,8]=>[3,4,5,6,9,2,10,-1,8,7]
[5,1,2,3,9,10,4,6,7,8]=>[3,4,5,8,2,9,10,-1,6,7]
[4,1,2,10,9,3,5,6,7,8]=>[3,4,7,2,8,9,10,-1,6,5]
[3,1,10,9,2,4,5,6,7,8]=>[3,6,2,7,8,9,10,-1,5,4]
[2,9,10,1,3,4,5,6,7,8]=>[5,2,6,7,8,9,10,-1,3,4]
[3,4,1,2,5,6,7,8,9,10]=>[4,5,2,3,6,7,8,9,10,-1]
[3,2,1,4,5,6,7,8,9,10]=>[4,3,2,5,6,7,8,9,10,-1]
[4,5,6,1,2,3,7,8,9,10]=>[5,6,7,2,3,4,8,9,10,-1]
[4,2,5,1,3,6,7,8,9,10]=>[5,3,6,2,4,7,8,9,10,-1]
[4,3,2,1,5,6,7,8,9,10]=>[5,4,3,2,6,7,8,9,10,-1]
[5,6,7,8,1,2,3,4,9,10]=>[6,7,8,9,2,3,4,5,10,-1]
[5,2,6,7,1,3,4,8,9,10]=>[6,3,7,8,2,4,5,9,10,-1]
[5,6,3,4,1,2,7,8,9,10]=>[6,7,4,5,2,3,8,9,10,-1]
[5,3,2,6,1,4,7,8,9,10]=>[6,4,3,7,2,5,8,9,10,-1]
[5,4,3,2,1,6,7,8,9,10]=>[6,5,4,3,2,7,8,9,10,-1]
[6,2,7,8,9,1,3,4,5,10]=>[7,3,8,9,10,2,4,5,6,-1]
[6,7,3,4,8,1,2,5,9,10]=>[7,8,4,5,9,2,3,6,10,-1]
[6,3,2,7,8,1,4,5,9,10]=>[7,4,3,8,9,2,5,6,10,-1]
[6,4,7,2,5,1,3,8,9,10]=>[7,5,8,3,6,2,4,9,10,-1]
[6,4,3,2,7,1,5,8,9,10]=>[7,5,4,3,8,2,6,9,10,-1]
[6,5,4,3,2,1,7,8,9,10]=>[7,6,5,4,3,2,8,9,10,-1]
[7,8,3,4,9,10,1,2,5,6]=>[8,9,4,5,10,-1,2,3,6,7]
[7,3,2,8,9,10,1,4,5,6]=>[8,4,3,9,10,-1,2,5,6,7]
[7,8,9,4,5,6,1,2,3,10]=>[8,9,10,5,6,7,2,3,4,-1]
[7,4,3,2,8,9,1,5,6,10]=>[8,5,4,3,9,10,2,6,7,-1]
[7,8,5,6,3,4,1,2,9,10]=>[8,9,6,7,4,5,2,3,10,-1]
[7,5,3,8,2,6,1,4,9,10]=>[8,6,4,9,3,7,2,5,10,-1]
[7,5,4,3,2,8,1,6,9,10]=>[8,6,5,4,3,9,2,7,10,-1]
[7,6,5,4,3,2,1,8,9,10]=>[8,7,6,5,4,3,2,9,10,-1]
[8,5,9,10,2,6,7,1,3,4]=>[9,6,10,-1,3,7,8,2,4,5]
[8,9,5,6,3,4,10,1,2,7]=>[9,10,6,7,4,5,-1,2,3,8]
[8,5,3,9,2,6,10,1,4,7]=>[9,6,4,10,3,7,-1,2,5,8]
[8,5,4,3,2,9,10,1,6,7]=>[9,6,5,4,3,10,-1,2,7,8]
[8,6,9,4,7,2,5,1,3,10]=>[9,7,10,5,8,3,6,2,4,-1]
[8,6,4,3,9,2,7,1,5,10]=>[9,7,5,4,10,3,8,2,6,-1]
[8,6,5,4,3,2,9,1,7,10]=>[9,7,6,5,4,3,10,2,8,-1]
[8,7,6,5,4,3,2,1,9,10]=>[9,8,7,6,5,4,3,2,10,-1]
[9,7,5,10,3,8,2,6,1,4]=>[10,8,6,-1,4,9,3,7,2,5]
[9,7,5,4,3,10,2,8,1,6]=>[10,8,6,5,4,-1,3,9,2,7]
[9,7,6,5,4,3,2,10,1,8]=>[10,8,7,6,5,4,3,-1,2,9]
[9,8,7,5,6,4,3,2,1,10]=>[10,9,8,7,5,6,4,3,2,-1]
[1,10,9,8,6,7,5,4,3,2]=>[2,-1,10,9,8,6,7,5,4,3]
[9,1,2,3,4,5,6,7,8,10]=>[3,4,5,6,7,8,9,10,2,-1]
[1,10,2,3,4,5,6,7,8,9]=>[2,4,5,6,7,8,9,10,-1,3]
[8,9,1,2,3,4,5,6,7,10]=>[4,5,6,7,8,9,10,2,3,-1]
[1,9,10,2,3,4,5,6,7,8]=>[2,5,6,7,8,9,10,-1,3,4]
[2,3,4,5,6,7,8,9,1,10]=>[10,2,3,4,5,6,7,8,9,-1]
[2,3,4,5,6,7,9,10,1,8]=>[10,2,3,4,5,6,7,-1,8,9]
[2,3,4,5,6,8,9,10,1,7]=>[10,2,3,4,5,6,-1,7,8,9]
[2,3,4,5,7,8,9,10,1,6]=>[10,2,3,4,5,-1,6,7,8,9]
[2,3,4,6,7,8,9,10,1,5]=>[10,2,3,4,-1,5,6,7,8,9]
[2,3,5,6,7,8,9,10,1,4]=>[10,2,3,-1,4,5,6,7,8,9]
[2,4,5,6,7,8,9,10,1,3]=>[10,2,-1,3,4,5,6,7,8,9]
[3,4,5,6,7,8,9,10,1,2]=>[10,-1,2,3,4,5,6,7,8,9]
[10,2,1,3,4,5,6,7,8,9]=>[4,3,5,6,7,8,9,10,-1,2]
[3,2,4,5,6,7,8,9,10,1]=>[-1,3,2,4,5,6,7,8,9,10]
[2,4,1,3,6,5,8,7,10,9]=>[4,2,5,3,7,6,9,8,-1,10]
[2,4,1,6,3,5,8,7,10,9]=>[4,2,6,3,7,5,9,8,-1,10]
[2,4,1,6,3,8,5,7,10,9]=>[4,2,6,3,8,5,9,7,-1,10]
[2,4,1,6,3,8,5,10,7,9]=>[4,2,6,3,8,5,10,7,-1,9]
[2,4,1,6,3,8,5,9,7,10]=>[4,2,6,3,8,5,10,7,9,-1]
[2,4,1,6,3,7,5,9,8,10]=>[4,2,6,3,8,5,7,10,9,-1]
[2,4,1,5,3,7,6,9,8,10]=>[4,2,6,3,5,8,7,10,9,-1]
[2,3,1,5,4,7,6,9,8,10]=>[4,2,3,6,5,8,7,10,9,-1]
[1,3,2,5,4,7,6,9,8,10]=>[2,4,3,6,5,8,7,10,9,-1]
[2,3,4,5,6,7,8,9,11,1,10]=>[11,2,3,4,5,6,7,8,9,-1,10]
[3,1,4,5,6,7,8,9,10,11,2]=>[3,-1,2,4,5,6,7,8,9,10,11]
[11,3,4,5,6,7,8,9,1,2,10]=>[10,11,3,4,5,6,7,8,9,-1,2]
[11,1,4,5,6,7,8,9,10,2,3]=>[3,11,-1,4,5,6,7,8,9,10,2]
[10,9,8,7,6,5,4,3,2,1,11]=>[11,10,9,8,7,6,5,4,3,2,-1]
[1,11,10,9,8,7,6,5,4,3,2]=>[2,-1,11,10,9,8,7,6,5,4,3]
[1,2,3,4,5,6,7,8,9,11,10]=>[2,3,4,5,6,7,8,9,10,-1,11]
[2,1,3,4,5,6,7,8,9,10,11]=>[3,2,4,5,6,7,8,9,10,11,-1]
[11,1,2,3,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,11,-1,2]
[10,1,2,3,4,5,6,7,8,11,9]=>[3,4,5,6,7,8,9,10,-1,2,11]
[11,1,2,3,4,5,6,7,10,8,9]=>[3,4,5,6,7,8,9,11,-1,10,2]
[11,1,2,3,4,5,6,10,7,8,9]=>[3,4,5,6,7,8,10,11,-1,9,2]
[10,1,2,3,4,5,11,6,7,8,9]=>[3,4,5,6,7,9,10,11,-1,2,8]
[11,1,2,3,4,10,5,6,7,8,9]=>[3,4,5,6,8,9,10,11,-1,7,2]
[11,1,2,3,10,4,5,6,7,8,9]=>[3,4,5,7,8,9,10,11,-1,6,2]
[10,1,2,11,3,4,5,6,7,8,9]=>[3,4,6,7,8,9,10,11,-1,2,5]
[11,1,10,2,3,4,5,6,7,8,9]=>[3,5,6,7,8,9,10,11,-1,4,2]
[11,10,1,2,3,4,5,6,7,8,9]=>[4,5,6,7,8,9,10,11,-1,3,2]
[10,1,2,3,4,5,6,7,8,9,11]=>[3,4,5,6,7,8,9,10,11,2,-1]
[1,11,2,3,4,5,6,7,8,9,10]=>[2,4,5,6,7,8,9,10,11,-1,3]
[2,3,4,5,6,7,8,9,10,11,1]=>[-1,2,3,4,5,6,7,8,9,10,11]
[2,3,4,5,6,7,8,9,10,12,1,11]=>[12,2,3,4,5,6,7,8,9,10,-1,11]
[3,1,4,5,6,7,8,9,10,11,12,2]=>[3,-1,2,4,5,6,7,8,9,10,11,12]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[3,2,5,4,7,6,9,8,11,10,-1,12]
[2,1,4,3,6,5,8,7,11,12,10,9]=>[3,2,5,4,7,6,9,8,-1,12,10,11]
[2,1,4,3,6,5,9,10,8,7,12,11]=>[3,2,5,4,7,6,11,10,8,9,-1,12]
[2,1,4,3,6,5,9,11,8,12,10,7]=>[3,2,5,4,7,6,-1,10,8,12,9,11]
[2,1,4,3,6,5,10,11,12,9,8,7]=>[3,2,5,4,7,6,-1,12,11,8,9,10]
[2,1,4,3,7,8,6,5,10,9,12,11]=>[3,2,5,4,9,8,6,7,11,10,-1,12]
[2,1,4,3,7,8,6,5,11,12,10,9]=>[3,2,5,4,9,8,6,7,-1,12,10,11]
[2,1,4,3,7,9,6,10,8,5,12,11]=>[3,2,5,4,11,8,6,10,7,9,-1,12]
[2,1,4,3,7,9,6,11,8,12,10,5]=>[3,2,5,4,-1,8,6,10,7,12,9,11]
[2,1,4,3,7,10,6,11,12,9,8,5]=>[3,2,5,4,-1,8,6,12,11,7,9,10]
[2,1,4,3,8,9,10,7,6,5,12,11]=>[3,2,5,4,11,10,9,6,7,8,-1,12]
[2,1,4,3,8,9,11,7,6,12,10,5]=>[3,2,5,4,-1,10,9,6,7,12,8,11]
[2,1,4,3,8,10,11,7,12,9,6,5]=>[3,2,5,4,-1,12,9,6,11,7,8,10]
[2,1,4,3,9,10,11,12,8,7,6,5]=>[3,2,5,4,-1,12,11,10,6,7,8,9]
[2,1,5,6,4,3,8,7,10,9,12,11]=>[3,2,7,6,4,5,9,8,11,10,-1,12]
[2,1,5,6,4,3,8,7,11,12,10,9]=>[3,2,7,6,4,5,9,8,-1,12,10,11]
[2,1,5,6,4,3,9,10,8,7,12,11]=>[3,2,7,6,4,5,11,10,8,9,-1,12]
[2,1,5,6,4,3,9,11,8,12,10,7]=>[3,2,7,6,4,5,-1,10,8,12,9,11]
[2,1,5,6,4,3,10,11,12,9,8,7]=>[3,2,7,6,4,5,-1,12,11,8,9,10]
[2,1,5,7,4,8,6,3,10,9,12,11]=>[3,2,9,6,4,8,5,7,11,10,-1,12]
[2,1,5,7,4,8,6,3,11,12,10,9]=>[3,2,9,6,4,8,5,7,-1,12,10,11]
[2,1,5,7,4,9,6,10,8,3,12,11]=>[3,2,11,6,4,8,5,10,7,9,-1,12]
[2,1,5,7,4,9,6,11,8,12,10,3]=>[3,2,-1,6,4,8,5,10,7,12,9,11]
[2,1,5,7,4,10,6,11,12,9,8,3]=>[3,2,-1,6,4,8,5,12,11,7,9,10]
[2,1,5,8,4,9,10,7,6,3,12,11]=>[3,2,11,6,4,10,9,5,7,8,-1,12]
[2,1,5,8,4,9,11,7,6,12,10,3]=>[3,2,-1,6,4,10,9,5,7,12,8,11]
[2,1,5,8,4,10,11,7,12,9,6,3]=>[3,2,-1,6,4,12,9,5,11,7,8,10]
[2,1,5,9,4,10,11,12,8,7,6,3]=>[3,2,-1,6,4,12,11,10,5,7,8,9]
[2,1,6,7,8,5,4,3,10,9,12,11]=>[3,2,9,8,7,4,5,6,11,10,-1,12]
[2,1,6,7,8,5,4,3,11,12,10,9]=>[3,2,9,8,7,4,5,6,-1,12,10,11]
[2,1,6,7,9,5,4,10,8,3,12,11]=>[3,2,11,8,7,4,5,10,6,9,-1,12]
[2,1,6,7,9,5,4,11,8,12,10,3]=>[3,2,-1,8,7,4,5,10,6,12,9,11]
[2,1,6,7,10,5,4,11,12,9,8,3]=>[3,2,-1,8,7,4,5,12,11,6,9,10]
[2,1,6,8,9,5,10,7,4,3,12,11]=>[3,2,11,10,7,4,9,5,6,8,-1,12]
[2,1,6,8,9,5,11,7,4,12,10,3]=>[3,2,-1,10,7,4,9,5,6,12,8,11]
[2,1,6,8,10,5,11,7,12,9,4,3]=>[3,2,-1,12,7,4,9,5,11,6,8,10]
[2,1,6,9,10,5,11,12,8,7,4,3]=>[3,2,-1,12,7,4,11,10,5,6,8,9]
[2,1,7,8,9,10,6,5,4,3,12,11]=>[3,2,11,10,9,8,4,5,6,7,-1,12]
[2,1,7,8,9,11,6,5,4,12,10,3]=>[3,2,-1,10,9,8,4,5,6,12,7,11]
[2,1,7,8,10,11,6,5,12,9,4,3]=>[3,2,-1,12,9,8,4,5,11,6,7,10]
[2,1,7,9,10,11,6,12,8,5,4,3]=>[3,2,-1,12,11,8,4,10,5,6,7,9]
[2,1,8,9,10,11,12,7,6,5,4,3]=>[3,2,-1,12,11,10,9,4,5,6,7,8]
[3,4,2,1,6,5,8,7,10,9,12,11]=>[5,4,2,3,7,6,9,8,11,10,-1,12]
[3,4,2,1,6,5,8,7,11,12,10,9]=>[5,4,2,3,7,6,9,8,-1,12,10,11]
[3,4,2,1,6,5,9,10,8,7,12,11]=>[5,4,2,3,7,6,11,10,8,9,-1,12]
[3,4,2,1,6,5,9,11,8,12,10,7]=>[5,4,2,3,7,6,-1,10,8,12,9,11]
[3,4,2,1,6,5,10,11,12,9,8,7]=>[5,4,2,3,7,6,-1,12,11,8,9,10]
[3,4,2,1,7,8,6,5,10,9,12,11]=>[5,4,2,3,9,8,6,7,11,10,-1,12]
[3,4,2,1,7,8,6,5,11,12,10,9]=>[5,4,2,3,9,8,6,7,-1,12,10,11]
[3,4,2,1,7,9,6,10,8,5,12,11]=>[5,4,2,3,11,8,6,10,7,9,-1,12]
[3,4,2,1,7,9,6,11,8,12,10,5]=>[5,4,2,3,-1,8,6,10,7,12,9,11]
[3,4,2,1,7,10,6,11,12,9,8,5]=>[5,4,2,3,-1,8,6,12,11,7,9,10]
[3,4,2,1,8,9,10,7,6,5,12,11]=>[5,4,2,3,11,10,9,6,7,8,-1,12]
[3,4,2,1,8,9,11,7,6,12,10,5]=>[5,4,2,3,-1,10,9,6,7,12,8,11]
[3,4,2,1,8,10,11,7,12,9,6,5]=>[5,4,2,3,-1,12,9,6,11,7,8,10]
[3,4,2,1,9,10,11,12,8,7,6,5]=>[5,4,2,3,-1,12,11,10,6,7,8,9]
[3,5,2,6,4,1,8,7,10,9,12,11]=>[7,4,2,6,3,5,9,8,11,10,-1,12]
[3,5,2,6,4,1,8,7,11,12,10,9]=>[7,4,2,6,3,5,9,8,-1,12,10,11]
[3,5,2,6,4,1,9,10,8,7,12,11]=>[7,4,2,6,3,5,11,10,8,9,-1,12]
[3,5,2,6,4,1,9,11,8,12,10,7]=>[7,4,2,6,3,5,-1,10,8,12,9,11]
[3,5,2,6,4,1,10,11,12,9,8,7]=>[7,4,2,6,3,5,-1,12,11,8,9,10]
[3,5,2,7,4,8,6,1,10,9,12,11]=>[9,4,2,6,3,8,5,7,11,10,-1,12]
[3,5,2,7,4,8,6,1,11,12,10,9]=>[9,4,2,6,3,8,5,7,-1,12,10,11]
[3,5,2,7,4,9,6,10,8,1,12,11]=>[11,4,2,6,3,8,5,10,7,9,-1,12]
[3,5,2,7,4,9,6,11,8,12,10,1]=>[-1,4,2,6,3,8,5,10,7,12,9,11]
[3,5,2,7,4,10,6,11,12,9,8,1]=>[-1,4,2,6,3,8,5,12,11,7,9,10]
[3,5,2,8,4,9,10,7,6,1,12,11]=>[11,4,2,6,3,10,9,5,7,8,-1,12]
[3,5,2,8,4,9,11,7,6,12,10,1]=>[-1,4,2,6,3,10,9,5,7,12,8,11]
[3,5,2,8,4,10,11,7,12,9,6,1]=>[-1,4,2,6,3,12,9,5,11,7,8,10]
[3,5,2,9,4,10,11,12,8,7,6,1]=>[-1,4,2,6,3,12,11,10,5,7,8,9]
[3,6,2,7,8,5,4,1,10,9,12,11]=>[9,4,2,8,7,3,5,6,11,10,-1,12]
[3,6,2,7,8,5,4,1,11,12,10,9]=>[9,4,2,8,7,3,5,6,-1,12,10,11]
[3,6,2,7,9,5,4,10,8,1,12,11]=>[11,4,2,8,7,3,5,10,6,9,-1,12]
[3,6,2,7,9,5,4,11,8,12,10,1]=>[-1,4,2,8,7,3,5,10,6,12,9,11]
[3,6,2,7,10,5,4,11,12,9,8,1]=>[-1,4,2,8,7,3,5,12,11,6,9,10]
[3,6,2,8,9,5,10,7,4,1,12,11]=>[11,4,2,10,7,3,9,5,6,8,-1,12]
[3,6,2,8,9,5,11,7,4,12,10,1]=>[-1,4,2,10,7,3,9,5,6,12,8,11]
[3,6,2,8,10,5,11,7,12,9,4,1]=>[-1,4,2,12,7,3,9,5,11,6,8,10]
[3,6,2,9,10,5,11,12,8,7,4,1]=>[-1,4,2,12,7,3,11,10,5,6,8,9]
[3,7,2,8,9,10,6,5,4,1,12,11]=>[11,4,2,10,9,8,3,5,6,7,-1,12]
[3,7,2,8,9,11,6,5,4,12,10,1]=>[-1,4,2,10,9,8,3,5,6,12,7,11]
[3,7,2,8,10,11,6,5,12,9,4,1]=>[-1,4,2,12,9,8,3,5,11,6,7,10]
[3,7,2,9,10,11,6,12,8,5,4,1]=>[-1,4,2,12,11,8,3,10,5,6,7,9]
[3,8,2,9,10,11,12,7,6,5,4,1]=>[-1,4,2,12,11,10,9,3,5,6,7,8]
[4,5,6,3,2,1,8,7,10,9,12,11]=>[7,6,5,2,3,4,9,8,11,10,-1,12]
[4,5,6,3,2,1,8,7,11,12,10,9]=>[7,6,5,2,3,4,9,8,-1,12,10,11]
[4,5,6,3,2,1,9,10,8,7,12,11]=>[7,6,5,2,3,4,11,10,8,9,-1,12]
[4,5,6,3,2,1,9,11,8,12,10,7]=>[7,6,5,2,3,4,-1,10,8,12,9,11]
[4,5,6,3,2,1,10,11,12,9,8,7]=>[7,6,5,2,3,4,-1,12,11,8,9,10]
[4,5,7,3,2,8,6,1,10,9,12,11]=>[9,6,5,2,3,8,4,7,11,10,-1,12]
[4,5,7,3,2,8,6,1,11,12,10,9]=>[9,6,5,2,3,8,4,7,-1,12,10,11]
[4,5,7,3,2,9,6,10,8,1,12,11]=>[11,6,5,2,3,8,4,10,7,9,-1,12]
[4,5,7,3,2,9,6,11,8,12,10,1]=>[-1,6,5,2,3,8,4,10,7,12,9,11]
[4,5,7,3,2,10,6,11,12,9,8,1]=>[-1,6,5,2,3,8,4,12,11,7,9,10]
[4,5,8,3,2,9,10,7,6,1,12,11]=>[11,6,5,2,3,10,9,4,7,8,-1,12]
[4,5,8,3,2,9,11,7,6,12,10,1]=>[-1,6,5,2,3,10,9,4,7,12,8,11]
[4,5,8,3,2,10,11,7,12,9,6,1]=>[-1,6,5,2,3,12,9,4,11,7,8,10]
[4,5,9,3,2,10,11,12,8,7,6,1]=>[-1,6,5,2,3,12,11,10,4,7,8,9]
[4,6,7,3,8,5,2,1,10,9,12,11]=>[9,8,5,2,7,3,4,6,11,10,-1,12]
[4,6,7,3,8,5,2,1,11,12,10,9]=>[9,8,5,2,7,3,4,6,-1,12,10,11]
[4,6,7,3,9,5,2,10,8,1,12,11]=>[11,8,5,2,7,3,4,10,6,9,-1,12]
[4,6,7,3,9,5,2,11,8,12,10,1]=>[-1,8,5,2,7,3,4,10,6,12,9,11]
[4,6,7,3,10,5,2,11,12,9,8,1]=>[-1,8,5,2,7,3,4,12,11,6,9,10]
[4,6,8,3,9,5,10,7,2,1,12,11]=>[11,10,5,2,7,3,9,4,6,8,-1,12]
[4,6,8,3,9,5,11,7,2,12,10,1]=>[-1,10,5,2,7,3,9,4,6,12,8,11]
[4,6,8,3,10,5,11,7,12,9,2,1]=>[-1,12,5,2,7,3,9,4,11,6,8,10]
[4,6,9,3,10,5,11,12,8,7,2,1]=>[-1,12,5,2,7,3,11,10,4,6,8,9]
[4,7,8,3,9,10,6,5,2,1,12,11]=>[11,10,5,2,9,8,3,4,6,7,-1,12]
[4,7,8,3,9,11,6,5,2,12,10,1]=>[-1,10,5,2,9,8,3,4,6,12,7,11]
[4,7,8,3,10,11,6,5,12,9,2,1]=>[-1,12,5,2,9,8,3,4,11,6,7,10]
[4,7,9,3,10,11,6,12,8,5,2,1]=>[-1,12,5,2,11,8,3,10,4,6,7,9]
[4,8,9,3,10,11,12,7,6,5,2,1]=>[-1,12,5,2,11,10,9,3,4,6,7,8]
[5,6,7,8,4,3,2,1,10,9,12,11]=>[9,8,7,6,2,3,4,5,11,10,-1,12]
[5,6,7,8,4,3,2,1,11,12,10,9]=>[9,8,7,6,2,3,4,5,-1,12,10,11]
[5,6,7,9,4,3,2,10,8,1,12,11]=>[11,8,7,6,2,3,4,10,5,9,-1,12]
[5,6,7,9,4,3,2,11,8,12,10,1]=>[-1,8,7,6,2,3,4,10,5,12,9,11]
[5,6,7,10,4,3,2,11,12,9,8,1]=>[-1,8,7,6,2,3,4,12,11,5,9,10]
[5,6,8,9,4,3,10,7,2,1,12,11]=>[11,10,7,6,2,3,9,4,5,8,-1,12]
[5,6,8,9,4,3,11,7,2,12,10,1]=>[-1,10,7,6,2,3,9,4,5,12,8,11]
[5,6,8,10,4,3,11,7,12,9,2,1]=>[-1,12,7,6,2,3,9,4,11,5,8,10]
[5,6,9,10,4,3,11,12,8,7,2,1]=>[-1,12,7,6,2,3,11,10,4,5,8,9]
[5,7,8,9,4,10,6,3,2,1,12,11]=>[11,10,9,6,2,8,3,4,5,7,-1,12]
[5,7,8,9,4,11,6,3,2,12,10,1]=>[-1,10,9,6,2,8,3,4,5,12,7,11]
[5,7,8,10,4,11,6,3,12,9,2,1]=>[-1,12,9,6,2,8,3,4,11,5,7,10]
[5,7,9,10,4,11,6,12,8,3,2,1]=>[-1,12,11,6,2,8,3,10,4,5,7,9]
[5,8,9,10,4,11,12,7,6,3,2,1]=>[-1,12,11,6,2,10,9,3,4,5,7,8]
[6,7,8,9,10,5,4,3,2,1,12,11]=>[11,10,9,8,7,2,3,4,5,6,-1,12]
[6,7,8,9,11,5,4,3,2,12,10,1]=>[-1,10,9,8,7,2,3,4,5,12,6,11]
[6,7,8,10,11,5,4,3,12,9,2,1]=>[-1,12,9,8,7,2,3,4,11,5,6,10]
[6,7,9,10,11,5,4,12,8,3,2,1]=>[-1,12,11,8,7,2,3,10,4,5,6,9]
[6,8,9,10,11,5,12,7,4,3,2,1]=>[-1,12,11,10,7,2,9,3,4,5,6,8]
[7,8,9,10,11,12,6,5,4,3,2,1]=>[-1,12,11,10,9,8,2,3,4,5,6,7]
[2,1,4,3,6,5,8,7,12,11,10,9]=>[3,2,5,4,7,6,9,8,-1,12,11,10]
[2,1,4,3,6,5,10,9,8,7,12,11]=>[3,2,5,4,7,6,11,10,9,8,-1,12]
[2,1,4,3,6,5,12,9,8,11,10,7]=>[3,2,5,4,7,6,-1,10,9,12,11,8]
[2,1,4,3,6,5,12,11,10,9,8,7]=>[3,2,5,4,7,6,-1,12,11,10,9,8]
[2,1,4,3,8,7,6,5,10,9,12,11]=>[3,2,5,4,9,8,7,6,11,10,-1,12]
[2,1,4,3,8,7,6,5,12,11,10,9]=>[3,2,5,4,9,8,7,6,-1,12,11,10]
[2,1,4,3,10,7,6,9,8,5,12,11]=>[3,2,5,4,11,8,7,10,9,6,-1,12]
[2,1,4,3,12,7,6,9,8,11,10,5]=>[3,2,5,4,-1,8,7,10,9,12,11,6]
[2,1,4,3,12,7,6,11,10,9,8,5]=>[3,2,5,4,-1,8,7,12,11,10,9,6]
[2,1,4,3,10,9,8,7,6,5,12,11]=>[3,2,5,4,11,10,9,8,7,6,-1,12]
[2,1,4,3,12,9,8,7,6,11,10,5]=>[3,2,5,4,-1,10,9,8,7,12,11,6]
[2,1,4,3,12,11,8,7,10,9,6,5]=>[3,2,5,4,-1,12,9,8,11,10,7,6]
[2,1,4,3,12,11,10,9,8,7,6,5]=>[3,2,5,4,-1,12,11,10,9,8,7,6]
[2,1,6,5,4,3,8,7,10,9,12,11]=>[3,2,7,6,5,4,9,8,11,10,-1,12]
[2,1,6,5,4,3,8,7,12,11,10,9]=>[3,2,7,6,5,4,9,8,-1,12,11,10]
[2,1,6,5,4,3,10,9,8,7,12,11]=>[3,2,7,6,5,4,11,10,9,8,-1,12]
[2,1,6,5,4,3,12,9,8,11,10,7]=>[3,2,7,6,5,4,-1,10,9,12,11,8]
[2,1,6,5,4,3,12,11,10,9,8,7]=>[3,2,7,6,5,4,-1,12,11,10,9,8]
[2,1,8,5,4,7,6,3,10,9,12,11]=>[3,2,9,6,5,8,7,4,11,10,-1,12]
[2,1,8,5,4,7,6,3,12,11,10,9]=>[3,2,9,6,5,8,7,4,-1,12,11,10]
[2,1,10,5,4,7,6,9,8,3,12,11]=>[3,2,11,6,5,8,7,10,9,4,-1,12]
[2,1,12,5,4,7,6,9,8,11,10,3]=>[3,2,-1,6,5,8,7,10,9,12,11,4]
[2,1,12,5,4,7,6,11,10,9,8,3]=>[3,2,-1,6,5,8,7,12,11,10,9,4]
[2,1,10,5,4,9,8,7,6,3,12,11]=>[3,2,11,6,5,10,9,8,7,4,-1,12]
[2,1,12,5,4,9,8,7,6,11,10,3]=>[3,2,-1,6,5,10,9,8,7,12,11,4]
[2,1,12,5,4,11,8,7,10,9,6,3]=>[3,2,-1,6,5,12,9,8,11,10,7,4]
[2,1,12,5,4,11,10,9,8,7,6,3]=>[3,2,-1,6,5,12,11,10,9,8,7,4]
[2,1,8,7,6,5,4,3,10,9,12,11]=>[3,2,9,8,7,6,5,4,11,10,-1,12]
[2,1,8,7,6,5,4,3,12,11,10,9]=>[3,2,9,8,7,6,5,4,-1,12,11,10]
[2,1,10,7,6,5,4,9,8,3,12,11]=>[3,2,11,8,7,6,5,10,9,4,-1,12]
[2,1,12,7,6,5,4,9,8,11,10,3]=>[3,2,-1,8,7,6,5,10,9,12,11,4]
[2,1,12,7,6,5,4,11,10,9,8,3]=>[3,2,-1,8,7,6,5,12,11,10,9,4]
[2,1,10,9,6,5,8,7,4,3,12,11]=>[3,2,11,10,7,6,9,8,5,4,-1,12]
[2,1,12,9,6,5,8,7,4,11,10,3]=>[3,2,-1,10,7,6,9,8,5,12,11,4]
[2,1,12,11,6,5,8,7,10,9,4,3]=>[3,2,-1,12,7,6,9,8,11,10,5,4]
[2,1,12,11,6,5,10,9,8,7,4,3]=>[3,2,-1,12,7,6,11,10,9,8,5,4]
[2,1,10,9,8,7,6,5,4,3,12,11]=>[3,2,11,10,9,8,7,6,5,4,-1,12]
[2,1,12,9,8,7,6,5,4,11,10,3]=>[3,2,-1,10,9,8,7,6,5,12,11,4]
[2,1,12,11,8,7,6,5,10,9,4,3]=>[3,2,-1,12,9,8,7,6,11,10,5,4]
[2,1,12,11,10,7,6,9,8,5,4,3]=>[3,2,-1,12,11,8,7,10,9,6,5,4]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,2,-1,12,11,10,9,8,7,6,5,4]
[4,3,2,1,6,5,8,7,10,9,12,11]=>[5,4,3,2,7,6,9,8,11,10,-1,12]
[4,3,2,1,6,5,8,7,12,11,10,9]=>[5,4,3,2,7,6,9,8,-1,12,11,10]
[4,3,2,1,6,5,10,9,8,7,12,11]=>[5,4,3,2,7,6,11,10,9,8,-1,12]
[4,3,2,1,6,5,12,9,8,11,10,7]=>[5,4,3,2,7,6,-1,10,9,12,11,8]
[4,3,2,1,6,5,12,11,10,9,8,7]=>[5,4,3,2,7,6,-1,12,11,10,9,8]
[4,3,2,1,8,7,6,5,10,9,12,11]=>[5,4,3,2,9,8,7,6,11,10,-1,12]
[4,3,2,1,8,7,6,5,12,11,10,9]=>[5,4,3,2,9,8,7,6,-1,12,11,10]
[4,3,2,1,10,7,6,9,8,5,12,11]=>[5,4,3,2,11,8,7,10,9,6,-1,12]
[4,3,2,1,12,7,6,9,8,11,10,5]=>[5,4,3,2,-1,8,7,10,9,12,11,6]
[4,3,2,1,12,7,6,11,10,9,8,5]=>[5,4,3,2,-1,8,7,12,11,10,9,6]
[4,3,2,1,10,9,8,7,6,5,12,11]=>[5,4,3,2,11,10,9,8,7,6,-1,12]
[4,3,2,1,12,9,8,7,6,11,10,5]=>[5,4,3,2,-1,10,9,8,7,12,11,6]
[4,3,2,1,12,11,8,7,10,9,6,5]=>[5,4,3,2,-1,12,9,8,11,10,7,6]
[4,3,2,1,12,11,10,9,8,7,6,5]=>[5,4,3,2,-1,12,11,10,9,8,7,6]
[6,3,2,5,4,1,8,7,10,9,12,11]=>[7,4,3,6,5,2,9,8,11,10,-1,12]
[6,3,2,5,4,1,8,7,12,11,10,9]=>[7,4,3,6,5,2,9,8,-1,12,11,10]
[6,3,2,5,4,1,10,9,8,7,12,11]=>[7,4,3,6,5,2,11,10,9,8,-1,12]
[6,3,2,5,4,1,12,9,8,11,10,7]=>[7,4,3,6,5,2,-1,10,9,12,11,8]
[6,3,2,5,4,1,12,11,10,9,8,7]=>[7,4,3,6,5,2,-1,12,11,10,9,8]
[8,3,2,5,4,7,6,1,10,9,12,11]=>[9,4,3,6,5,8,7,2,11,10,-1,12]
[8,3,2,5,4,7,6,1,12,11,10,9]=>[9,4,3,6,5,8,7,2,-1,12,11,10]
[10,3,2,5,4,7,6,9,8,1,12,11]=>[11,4,3,6,5,8,7,10,9,2,-1,12]
[12,3,2,5,4,7,6,9,8,11,10,1]=>[-1,4,3,6,5,8,7,10,9,12,11,2]
[12,3,2,5,4,7,6,11,10,9,8,1]=>[-1,4,3,6,5,8,7,12,11,10,9,2]
[10,3,2,5,4,9,8,7,6,1,12,11]=>[11,4,3,6,5,10,9,8,7,2,-1,12]
[12,3,2,5,4,9,8,7,6,11,10,1]=>[-1,4,3,6,5,10,9,8,7,12,11,2]
[12,3,2,5,4,11,8,7,10,9,6,1]=>[-1,4,3,6,5,12,9,8,11,10,7,2]
[12,3,2,5,4,11,10,9,8,7,6,1]=>[-1,4,3,6,5,12,11,10,9,8,7,2]
[8,3,2,7,6,5,4,1,10,9,12,11]=>[9,4,3,8,7,6,5,2,11,10,-1,12]
[8,3,2,7,6,5,4,1,12,11,10,9]=>[9,4,3,8,7,6,5,2,-1,12,11,10]
[10,3,2,7,6,5,4,9,8,1,12,11]=>[11,4,3,8,7,6,5,10,9,2,-1,12]
[12,3,2,7,6,5,4,9,8,11,10,1]=>[-1,4,3,8,7,6,5,10,9,12,11,2]
[12,3,2,7,6,5,4,11,10,9,8,1]=>[-1,4,3,8,7,6,5,12,11,10,9,2]
[10,3,2,9,6,5,8,7,4,1,12,11]=>[11,4,3,10,7,6,9,8,5,2,-1,12]
[12,3,2,9,6,5,8,7,4,11,10,1]=>[-1,4,3,10,7,6,9,8,5,12,11,2]
[12,3,2,11,6,5,8,7,10,9,4,1]=>[-1,4,3,12,7,6,9,8,11,10,5,2]
[12,3,2,11,6,5,10,9,8,7,4,1]=>[-1,4,3,12,7,6,11,10,9,8,5,2]
[10,3,2,9,8,7,6,5,4,1,12,11]=>[11,4,3,10,9,8,7,6,5,2,-1,12]
[12,3,2,9,8,7,6,5,4,11,10,1]=>[-1,4,3,10,9,8,7,6,5,12,11,2]
[12,3,2,11,8,7,6,5,10,9,4,1]=>[-1,4,3,12,9,8,7,6,11,10,5,2]
[12,3,2,11,10,7,6,9,8,5,4,1]=>[-1,4,3,12,11,8,7,10,9,6,5,2]
[12,3,2,11,10,9,8,7,6,5,4,1]=>[-1,4,3,12,11,10,9,8,7,6,5,2]
[6,5,4,3,2,1,8,7,10,9,12,11]=>[7,6,5,4,3,2,9,8,11,10,-1,12]
[6,5,4,3,2,1,8,7,12,11,10,9]=>[7,6,5,4,3,2,9,8,-1,12,11,10]
[6,5,4,3,2,1,10,9,8,7,12,11]=>[7,6,5,4,3,2,11,10,9,8,-1,12]
[6,5,4,3,2,1,12,9,8,11,10,7]=>[7,6,5,4,3,2,-1,10,9,12,11,8]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,6,5,4,3,2,-1,12,11,10,9,8]
[8,5,4,3,2,7,6,1,10,9,12,11]=>[9,6,5,4,3,8,7,2,11,10,-1,12]
[8,5,4,3,2,7,6,1,12,11,10,9]=>[9,6,5,4,3,8,7,2,-1,12,11,10]
[10,5,4,3,2,7,6,9,8,1,12,11]=>[11,6,5,4,3,8,7,10,9,2,-1,12]
[12,5,4,3,2,7,6,9,8,11,10,1]=>[-1,6,5,4,3,8,7,10,9,12,11,2]
[12,5,4,3,2,7,6,11,10,9,8,1]=>[-1,6,5,4,3,8,7,12,11,10,9,2]
[10,5,4,3,2,9,8,7,6,1,12,11]=>[11,6,5,4,3,10,9,8,7,2,-1,12]
[12,5,4,3,2,9,8,7,6,11,10,1]=>[-1,6,5,4,3,10,9,8,7,12,11,2]
[12,5,4,3,2,11,8,7,10,9,6,1]=>[-1,6,5,4,3,12,9,8,11,10,7,2]
[12,5,4,3,2,11,10,9,8,7,6,1]=>[-1,6,5,4,3,12,11,10,9,8,7,2]
[8,7,4,3,6,5,2,1,10,9,12,11]=>[9,8,5,4,7,6,3,2,11,10,-1,12]
[8,7,4,3,6,5,2,1,12,11,10,9]=>[9,8,5,4,7,6,3,2,-1,12,11,10]
[10,7,4,3,6,5,2,9,8,1,12,11]=>[11,8,5,4,7,6,3,10,9,2,-1,12]
[12,7,4,3,6,5,2,9,8,11,10,1]=>[-1,8,5,4,7,6,3,10,9,12,11,2]
[12,7,4,3,6,5,2,11,10,9,8,1]=>[-1,8,5,4,7,6,3,12,11,10,9,2]
[10,9,4,3,6,5,8,7,2,1,12,11]=>[11,10,5,4,7,6,9,8,3,2,-1,12]
[12,9,4,3,6,5,8,7,2,11,10,1]=>[-1,10,5,4,7,6,9,8,3,12,11,2]
[12,11,4,3,6,5,8,7,10,9,2,1]=>[-1,12,5,4,7,6,9,8,11,10,3,2]
[12,11,4,3,6,5,10,9,8,7,2,1]=>[-1,12,5,4,7,6,11,10,9,8,3,2]
[10,9,4,3,8,7,6,5,2,1,12,11]=>[11,10,5,4,9,8,7,6,3,2,-1,12]
[12,9,4,3,8,7,6,5,2,11,10,1]=>[-1,10,5,4,9,8,7,6,3,12,11,2]
[12,11,4,3,8,7,6,5,10,9,2,1]=>[-1,12,5,4,9,8,7,6,11,10,3,2]
[12,11,4,3,10,7,6,9,8,5,2,1]=>[-1,12,5,4,11,8,7,10,9,6,3,2]
[12,11,4,3,10,9,8,7,6,5,2,1]=>[-1,12,5,4,11,10,9,8,7,6,3,2]
[8,7,6,5,4,3,2,1,10,9,12,11]=>[9,8,7,6,5,4,3,2,11,10,-1,12]
[8,7,6,5,4,3,2,1,12,11,10,9]=>[9,8,7,6,5,4,3,2,-1,12,11,10]
[10,7,6,5,4,3,2,9,8,1,12,11]=>[11,8,7,6,5,4,3,10,9,2,-1,12]
[12,7,6,5,4,3,2,9,8,11,10,1]=>[-1,8,7,6,5,4,3,10,9,12,11,2]
[12,7,6,5,4,3,2,11,10,9,8,1]=>[-1,8,7,6,5,4,3,12,11,10,9,2]
[10,9,6,5,4,3,8,7,2,1,12,11]=>[11,10,7,6,5,4,9,8,3,2,-1,12]
[12,9,6,5,4,3,8,7,2,11,10,1]=>[-1,10,7,6,5,4,9,8,3,12,11,2]
[12,11,6,5,4,3,8,7,10,9,2,1]=>[-1,12,7,6,5,4,9,8,11,10,3,2]
[12,11,6,5,4,3,10,9,8,7,2,1]=>[-1,12,7,6,5,4,11,10,9,8,3,2]
[10,9,8,5,4,7,6,3,2,1,12,11]=>[11,10,9,6,5,8,7,4,3,2,-1,12]
[12,9,8,5,4,7,6,3,2,11,10,1]=>[-1,10,9,6,5,8,7,4,3,12,11,2]
[12,11,8,5,4,7,6,3,10,9,2,1]=>[-1,12,9,6,5,8,7,4,11,10,3,2]
[12,11,10,5,4,7,6,9,8,3,2,1]=>[-1,12,11,6,5,8,7,10,9,4,3,2]
[12,11,10,5,4,9,8,7,6,3,2,1]=>[-1,12,11,6,5,10,9,8,7,4,3,2]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,10,9,8,7,6,5,4,3,2,-1,12]
[12,9,8,7,6,5,4,3,2,11,10,1]=>[-1,10,9,8,7,6,5,4,3,12,11,2]
[12,11,8,7,6,5,4,3,10,9,2,1]=>[-1,12,9,8,7,6,5,4,11,10,3,2]
[12,11,10,7,6,5,4,9,8,3,2,1]=>[-1,12,11,8,7,6,5,10,9,4,3,2]
[12,11,10,9,6,5,8,7,4,3,2,1]=>[-1,12,11,10,7,6,9,8,5,4,3,2]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[-1,12,11,10,9,8,7,6,5,4,3,2]
[2,4,6,8,10,12,1,3,5,7,9,11]=>[8,2,9,3,10,4,11,5,12,6,-1,7]
[2,4,6,8,11,12,1,3,5,7,9,10]=>[8,2,9,3,10,4,11,5,12,-1,6,7]
[2,4,6,9,10,12,1,3,5,7,8,11]=>[8,2,9,3,10,4,11,12,5,6,-1,7]
[2,4,6,9,11,12,1,3,5,7,8,10]=>[8,2,9,3,10,4,11,12,5,-1,6,7]
[2,4,6,10,11,12,1,3,5,7,8,9]=>[8,2,9,3,10,4,11,12,-1,5,6,7]
[2,4,7,8,10,12,1,3,5,6,9,11]=>[8,2,9,3,10,11,4,5,12,6,-1,7]
[2,4,7,8,11,12,1,3,5,6,9,10]=>[8,2,9,3,10,11,4,5,12,-1,6,7]
[2,4,7,9,10,12,1,3,5,6,8,11]=>[8,2,9,3,10,11,4,12,5,6,-1,7]
[2,4,7,9,11,12,1,3,5,6,8,10]=>[8,2,9,3,10,11,4,12,5,-1,6,7]
[2,4,7,10,11,12,1,3,5,6,8,9]=>[8,2,9,3,10,11,4,12,-1,5,6,7]
[2,4,8,9,10,12,1,3,5,6,7,11]=>[8,2,9,3,10,11,12,4,5,6,-1,7]
[2,4,8,9,11,12,1,3,5,6,7,10]=>[8,2,9,3,10,11,12,4,5,-1,6,7]
[2,4,8,10,11,12,1,3,5,6,7,9]=>[8,2,9,3,10,11,12,4,-1,5,6,7]
[2,4,9,10,11,12,1,3,5,6,7,8]=>[8,2,9,3,10,11,12,-1,4,5,6,7]
[2,5,6,8,10,12,1,3,4,7,9,11]=>[8,2,9,10,3,4,11,5,12,6,-1,7]
[2,5,6,8,11,12,1,3,4,7,9,10]=>[8,2,9,10,3,4,11,5,12,-1,6,7]
[2,5,6,9,10,12,1,3,4,7,8,11]=>[8,2,9,10,3,4,11,12,5,6,-1,7]
[2,5,6,9,11,12,1,3,4,7,8,10]=>[8,2,9,10,3,4,11,12,5,-1,6,7]
[2,5,6,10,11,12,1,3,4,7,8,9]=>[8,2,9,10,3,4,11,12,-1,5,6,7]
[2,5,7,8,10,12,1,3,4,6,9,11]=>[8,2,9,10,3,11,4,5,12,6,-1,7]
[2,5,7,8,11,12,1,3,4,6,9,10]=>[8,2,9,10,3,11,4,5,12,-1,6,7]
[2,5,7,9,10,12,1,3,4,6,8,11]=>[8,2,9,10,3,11,4,12,5,6,-1,7]
[2,5,7,9,11,12,1,3,4,6,8,10]=>[8,2,9,10,3,11,4,12,5,-1,6,7]
[2,5,7,10,11,12,1,3,4,6,8,9]=>[8,2,9,10,3,11,4,12,-1,5,6,7]
[2,5,8,9,10,12,1,3,4,6,7,11]=>[8,2,9,10,3,11,12,4,5,6,-1,7]
[2,5,8,9,11,12,1,3,4,6,7,10]=>[8,2,9,10,3,11,12,4,5,-1,6,7]
[2,5,8,10,11,12,1,3,4,6,7,9]=>[8,2,9,10,3,11,12,4,-1,5,6,7]
[2,5,9,10,11,12,1,3,4,6,7,8]=>[8,2,9,10,3,11,12,-1,4,5,6,7]
[2,6,7,8,10,12,1,3,4,5,9,11]=>[8,2,9,10,11,3,4,5,12,6,-1,7]
[2,6,7,8,11,12,1,3,4,5,9,10]=>[8,2,9,10,11,3,4,5,12,-1,6,7]
[2,6,7,9,10,12,1,3,4,5,8,11]=>[8,2,9,10,11,3,4,12,5,6,-1,7]
[2,6,7,9,11,12,1,3,4,5,8,10]=>[8,2,9,10,11,3,4,12,5,-1,6,7]
[2,6,7,10,11,12,1,3,4,5,8,9]=>[8,2,9,10,11,3,4,12,-1,5,6,7]
[2,6,8,9,10,12,1,3,4,5,7,11]=>[8,2,9,10,11,3,12,4,5,6,-1,7]
[2,6,8,9,11,12,1,3,4,5,7,10]=>[8,2,9,10,11,3,12,4,5,-1,6,7]
[2,6,8,10,11,12,1,3,4,5,7,9]=>[8,2,9,10,11,3,12,4,-1,5,6,7]
[2,6,9,10,11,12,1,3,4,5,7,8]=>[8,2,9,10,11,3,12,-1,4,5,6,7]
[2,7,8,9,10,12,1,3,4,5,6,11]=>[8,2,9,10,11,12,3,4,5,6,-1,7]
[2,7,8,9,11,12,1,3,4,5,6,10]=>[8,2,9,10,11,12,3,4,5,-1,6,7]
[2,7,8,10,11,12,1,3,4,5,6,9]=>[8,2,9,10,11,12,3,4,-1,5,6,7]
[2,7,9,10,11,12,1,3,4,5,6,8]=>[8,2,9,10,11,12,3,-1,4,5,6,7]
[2,8,9,10,11,12,1,3,4,5,6,7]=>[8,2,9,10,11,12,-1,3,4,5,6,7]
[3,4,6,8,10,12,1,2,5,7,9,11]=>[8,9,2,3,10,4,11,5,12,6,-1,7]
[3,4,6,8,11,12,1,2,5,7,9,10]=>[8,9,2,3,10,4,11,5,12,-1,6,7]
[3,4,6,9,10,12,1,2,5,7,8,11]=>[8,9,2,3,10,4,11,12,5,6,-1,7]
[3,4,6,9,11,12,1,2,5,7,8,10]=>[8,9,2,3,10,4,11,12,5,-1,6,7]
[3,4,6,10,11,12,1,2,5,7,8,9]=>[8,9,2,3,10,4,11,12,-1,5,6,7]
[3,4,7,8,10,12,1,2,5,6,9,11]=>[8,9,2,3,10,11,4,5,12,6,-1,7]
[3,4,7,8,11,12,1,2,5,6,9,10]=>[8,9,2,3,10,11,4,5,12,-1,6,7]
[3,4,7,9,10,12,1,2,5,6,8,11]=>[8,9,2,3,10,11,4,12,5,6,-1,7]
[3,4,7,9,11,12,1,2,5,6,8,10]=>[8,9,2,3,10,11,4,12,5,-1,6,7]
[3,4,7,10,11,12,1,2,5,6,8,9]=>[8,9,2,3,10,11,4,12,-1,5,6,7]
[3,4,8,9,10,12,1,2,5,6,7,11]=>[8,9,2,3,10,11,12,4,5,6,-1,7]
[3,4,8,9,11,12,1,2,5,6,7,10]=>[8,9,2,3,10,11,12,4,5,-1,6,7]
[3,4,8,10,11,12,1,2,5,6,7,9]=>[8,9,2,3,10,11,12,4,-1,5,6,7]
[3,4,9,10,11,12,1,2,5,6,7,8]=>[8,9,2,3,10,11,12,-1,4,5,6,7]
[3,5,6,8,10,12,1,2,4,7,9,11]=>[8,9,2,10,3,4,11,5,12,6,-1,7]
[3,5,6,8,11,12,1,2,4,7,9,10]=>[8,9,2,10,3,4,11,5,12,-1,6,7]
[3,5,6,9,10,12,1,2,4,7,8,11]=>[8,9,2,10,3,4,11,12,5,6,-1,7]
[3,5,6,9,11,12,1,2,4,7,8,10]=>[8,9,2,10,3,4,11,12,5,-1,6,7]
[3,5,6,10,11,12,1,2,4,7,8,9]=>[8,9,2,10,3,4,11,12,-1,5,6,7]
[3,5,7,8,10,12,1,2,4,6,9,11]=>[8,9,2,10,3,11,4,5,12,6,-1,7]
[3,5,7,8,11,12,1,2,4,6,9,10]=>[8,9,2,10,3,11,4,5,12,-1,6,7]
[3,5,7,9,10,12,1,2,4,6,8,11]=>[8,9,2,10,3,11,4,12,5,6,-1,7]
[3,5,7,9,11,12,1,2,4,6,8,10]=>[8,9,2,10,3,11,4,12,5,-1,6,7]
[3,5,7,10,11,12,1,2,4,6,8,9]=>[8,9,2,10,3,11,4,12,-1,5,6,7]
[3,5,8,9,10,12,1,2,4,6,7,11]=>[8,9,2,10,3,11,12,4,5,6,-1,7]
[3,5,8,9,11,12,1,2,4,6,7,10]=>[8,9,2,10,3,11,12,4,5,-1,6,7]
[3,5,8,10,11,12,1,2,4,6,7,9]=>[8,9,2,10,3,11,12,4,-1,5,6,7]
[3,5,9,10,11,12,1,2,4,6,7,8]=>[8,9,2,10,3,11,12,-1,4,5,6,7]
[3,6,7,8,10,12,1,2,4,5,9,11]=>[8,9,2,10,11,3,4,5,12,6,-1,7]
[3,6,7,8,11,12,1,2,4,5,9,10]=>[8,9,2,10,11,3,4,5,12,-1,6,7]
[3,6,7,9,10,12,1,2,4,5,8,11]=>[8,9,2,10,11,3,4,12,5,6,-1,7]
[3,6,7,9,11,12,1,2,4,5,8,10]=>[8,9,2,10,11,3,4,12,5,-1,6,7]
[3,6,7,10,11,12,1,2,4,5,8,9]=>[8,9,2,10,11,3,4,12,-1,5,6,7]
[3,6,8,9,10,12,1,2,4,5,7,11]=>[8,9,2,10,11,3,12,4,5,6,-1,7]
[3,6,8,9,11,12,1,2,4,5,7,10]=>[8,9,2,10,11,3,12,4,5,-1,6,7]
[3,6,8,10,11,12,1,2,4,5,7,9]=>[8,9,2,10,11,3,12,4,-1,5,6,7]
[3,6,9,10,11,12,1,2,4,5,7,8]=>[8,9,2,10,11,3,12,-1,4,5,6,7]
[3,7,8,9,10,12,1,2,4,5,6,11]=>[8,9,2,10,11,12,3,4,5,6,-1,7]
[3,7,8,9,11,12,1,2,4,5,6,10]=>[8,9,2,10,11,12,3,4,5,-1,6,7]
[3,7,8,10,11,12,1,2,4,5,6,9]=>[8,9,2,10,11,12,3,4,-1,5,6,7]
[3,7,9,10,11,12,1,2,4,5,6,8]=>[8,9,2,10,11,12,3,-1,4,5,6,7]
[3,8,9,10,11,12,1,2,4,5,6,7]=>[8,9,2,10,11,12,-1,3,4,5,6,7]
[4,5,6,8,10,12,1,2,3,7,9,11]=>[8,9,10,2,3,4,11,5,12,6,-1,7]
[4,5,6,8,11,12,1,2,3,7,9,10]=>[8,9,10,2,3,4,11,5,12,-1,6,7]
[4,5,6,9,10,12,1,2,3,7,8,11]=>[8,9,10,2,3,4,11,12,5,6,-1,7]
[4,5,6,9,11,12,1,2,3,7,8,10]=>[8,9,10,2,3,4,11,12,5,-1,6,7]
[4,5,6,10,11,12,1,2,3,7,8,9]=>[8,9,10,2,3,4,11,12,-1,5,6,7]
[4,5,7,8,10,12,1,2,3,6,9,11]=>[8,9,10,2,3,11,4,5,12,6,-1,7]
[4,5,7,8,11,12,1,2,3,6,9,10]=>[8,9,10,2,3,11,4,5,12,-1,6,7]
[4,5,7,9,10,12,1,2,3,6,8,11]=>[8,9,10,2,3,11,4,12,5,6,-1,7]
[4,5,7,9,11,12,1,2,3,6,8,10]=>[8,9,10,2,3,11,4,12,5,-1,6,7]
[4,5,7,10,11,12,1,2,3,6,8,9]=>[8,9,10,2,3,11,4,12,-1,5,6,7]
[4,5,8,9,10,12,1,2,3,6,7,11]=>[8,9,10,2,3,11,12,4,5,6,-1,7]
[4,5,8,9,11,12,1,2,3,6,7,10]=>[8,9,10,2,3,11,12,4,5,-1,6,7]
[4,5,8,10,11,12,1,2,3,6,7,9]=>[8,9,10,2,3,11,12,4,-1,5,6,7]
[4,5,9,10,11,12,1,2,3,6,7,8]=>[8,9,10,2,3,11,12,-1,4,5,6,7]
[4,6,7,8,10,12,1,2,3,5,9,11]=>[8,9,10,2,11,3,4,5,12,6,-1,7]
[4,6,7,8,11,12,1,2,3,5,9,10]=>[8,9,10,2,11,3,4,5,12,-1,6,7]
[4,6,7,9,10,12,1,2,3,5,8,11]=>[8,9,10,2,11,3,4,12,5,6,-1,7]
[4,6,7,9,11,12,1,2,3,5,8,10]=>[8,9,10,2,11,3,4,12,5,-1,6,7]
[4,6,7,10,11,12,1,2,3,5,8,9]=>[8,9,10,2,11,3,4,12,-1,5,6,7]
[4,6,8,9,10,12,1,2,3,5,7,11]=>[8,9,10,2,11,3,12,4,5,6,-1,7]
[4,6,8,9,11,12,1,2,3,5,7,10]=>[8,9,10,2,11,3,12,4,5,-1,6,7]
[4,6,8,10,11,12,1,2,3,5,7,9]=>[8,9,10,2,11,3,12,4,-1,5,6,7]
[4,6,9,10,11,12,1,2,3,5,7,8]=>[8,9,10,2,11,3,12,-1,4,5,6,7]
[4,7,8,9,10,12,1,2,3,5,6,11]=>[8,9,10,2,11,12,3,4,5,6,-1,7]
[4,7,8,9,11,12,1,2,3,5,6,10]=>[8,9,10,2,11,12,3,4,5,-1,6,7]
[4,7,8,10,11,12,1,2,3,5,6,9]=>[8,9,10,2,11,12,3,4,-1,5,6,7]
[4,7,9,10,11,12,1,2,3,5,6,8]=>[8,9,10,2,11,12,3,-1,4,5,6,7]
[4,8,9,10,11,12,1,2,3,5,6,7]=>[8,9,10,2,11,12,-1,3,4,5,6,7]
[5,6,7,8,10,12,1,2,3,4,9,11]=>[8,9,10,11,2,3,4,5,12,6,-1,7]
[5,6,7,8,11,12,1,2,3,4,9,10]=>[8,9,10,11,2,3,4,5,12,-1,6,7]
[5,6,7,9,10,12,1,2,3,4,8,11]=>[8,9,10,11,2,3,4,12,5,6,-1,7]
[5,6,7,9,11,12,1,2,3,4,8,10]=>[8,9,10,11,2,3,4,12,5,-1,6,7]
[5,6,7,10,11,12,1,2,3,4,8,9]=>[8,9,10,11,2,3,4,12,-1,5,6,7]
[5,6,8,9,10,12,1,2,3,4,7,11]=>[8,9,10,11,2,3,12,4,5,6,-1,7]
[5,6,8,9,11,12,1,2,3,4,7,10]=>[8,9,10,11,2,3,12,4,5,-1,6,7]
[5,6,8,10,11,12,1,2,3,4,7,9]=>[8,9,10,11,2,3,12,4,-1,5,6,7]
[5,6,9,10,11,12,1,2,3,4,7,8]=>[8,9,10,11,2,3,12,-1,4,5,6,7]
[5,7,8,9,10,12,1,2,3,4,6,11]=>[8,9,10,11,2,12,3,4,5,6,-1,7]
[5,7,8,9,11,12,1,2,3,4,6,10]=>[8,9,10,11,2,12,3,4,5,-1,6,7]
[5,7,8,10,11,12,1,2,3,4,6,9]=>[8,9,10,11,2,12,3,4,-1,5,6,7]
[5,7,9,10,11,12,1,2,3,4,6,8]=>[8,9,10,11,2,12,3,-1,4,5,6,7]
[5,8,9,10,11,12,1,2,3,4,6,7]=>[8,9,10,11,2,12,-1,3,4,5,6,7]
[6,7,8,9,10,12,1,2,3,4,5,11]=>[8,9,10,11,12,2,3,4,5,6,-1,7]
[6,7,8,9,11,12,1,2,3,4,5,10]=>[8,9,10,11,12,2,3,4,5,-1,6,7]
[6,7,8,10,11,12,1,2,3,4,5,9]=>[8,9,10,11,12,2,3,4,-1,5,6,7]
[6,7,9,10,11,12,1,2,3,4,5,8]=>[8,9,10,11,12,2,3,-1,4,5,6,7]
[6,8,9,10,11,12,1,2,3,4,5,7]=>[8,9,10,11,12,2,-1,3,4,5,6,7]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[8,9,10,11,12,-1,2,3,4,5,6,7]
          

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

Description

The Kreweras complement of a signed permutation.
This is the signed permutation $\pi^{-1}c$ where $c = (1,\ldots,n,-1,-2,\dots,-n)$ is the long cycle.
The order of the Kreweras complement on signed permutations of $\{\pm 1,\dots, \pm n\}$ is $2n$.

Properties

bijective, graded

Sage code

def mapping(pi):
    n = len(list(pi))
    if n == 0:
        return SignedPermutations(0)([])
    else:
        c = SignedPermutations(n)(list(range(2,n+1))+[-1])
        return pi.inverse()*c

Weight

Created

Sep 11, 2020 at 16:25 by Martin Rubey

Updated

Sep 11, 2020 at 16:25 by Martin Rubey